The decimal value of this prime was computed with calc and the English name was computed with number.
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4,370,757,441,270,813,788,333,232,912,069,460,708,676,247,705,748,
516,066,310,181,318,151,923,248,225,070,653,865,555,856,672,485,830,590,030,
270,826,993,209,390,672,909,069,784,256,394,631,416,264,579,463,761,570,844,
689,139,643,362,319,751,312,366,709,949,001,656,294,573,733,085,918,183,620,
876,126,580,313,766,242,613,708,591,473,816,297,933,199,276,751,723,653,303,
493,699,313,509,701,602,931,963,883,556,480,501,772,743,862,103,789,789,858,
570,278,833,670,409,721,562,341,708,306,788,774,156,459,832,315,988,716,808,
202,644,661,898,007,633,746,905,758,531,517,763,925,789,055,216,793,875,791,
483,603,905,346,328,656,442,837,052,834,935,190,864,793,761,002,232,219,736,
952,711,006,073,551,729,083,082,703,820,337,369,086,313,549,560,461,215,328,
194,122,419,106,031,348,857,794,180,371,925,458,014,232,468,853,713,507,343,
182,853,526,764,063,395,293,480,711,371,152,750,413,334,411,859,828,394,956,
203,764,812,708,530,989,444,267,588,573,569,785,367,896,665,149,637,107,847,
874,524,261,441,557,142,222,238,952,841,476,297,764,960,932,843,828,346,516,
971,018,754,578,605,269,100,910,912,307,324,285,174,027,041,714,767,885,696,
413,654,511,234,199,074,861,906,344,981,088,318,740,297,740,416,156,757,282,
904,849,009,604,974,283,924,217,131,747,185,864,788,712,824,246,516,504,134,
028,613,867,624,276,236,483,388,490,903,624,843,053,800,021,989,973,540,372,
360,507,859,184,580,914,278,731,953,903,923,057,100,296,921,666,091,895,731,
327,137,056,968,279,839,458,488,813,218,005,934,030,663,261,766,172,683,368,
220,982,799,043,093,802,925,463,083,900,972,189,992,301,326,336,274,839,109,
245,003,246,815,356,459,045,384,335,358,702,710,930,904,475,370,595,405,763,
206,594,251,421,607,082,778,710,087,845,054,658,501,452,146,093,056,573,275,
307,586,264,452,585,658,046,643,304,489,611,129,839,244,752,138,876,354,758,
634,527,145,556,564,751,511,538,149,823,769,460,786,985,520,925,634,961,410,
157,006,615,802,925,986,079,562,415,208,189,999,683,787,143,448,354,618,670,
935,338,937,941,077,477,114,936,394,125,476,095,001,970,540,754,539,161,205,
957,141,248,162,106,071,516,003,211,509,810,248,607,908,278,472,622,316,855,
803,570,237,924,482,577,299,701,540,501,742,261,201,765,857,847,068,336,818,
047,219,043,720,369,463,509,736,334,370,292,923,975,987,406,522,472,265,092,
601,732,411,830,931,362,032,129,129,603,645,908,495,962,537,475,262,741,819,
341,820,486,466,300,053,964,482,797,917,338,097,650,913,670,506,821,982,396,
276,739,700,955,103,467,181,020,123,955,276,564,050,055,697,475,319,261,828,
680,990,404,551,915,387,601,855,845,242,985,224,196,647,465,703,808,756,048,
056,725,966,254,994,314,975,423,117,490,383,357,503,517,799,631,398,605,329,
497,931,360,528,838,666,778,418,686,894,773,897,449,844,495,860,110,617,967,
812,200,810,201,476,881,508,185,033,619,879,116,280,143,978,386,809,000,474,
023,674,850,916,673,278,827,399,429,720,507,113,211,478,957,330,989,358,890,
356,738,533,479,294,564,549,000,374,861,272,727,252,376,610,105,105,883,474,
009,109,533,518,003,049,805,794,710,619,836,257,385,611,457,048,647,130,395,
648,802,623,907,367,642,443,538,086,901,804,757,066,041,685,291,106,493,280,
133,886,317,523,645,569,039,283,721,552,428,513,064,686,263,225,917,892,179,
230,607,105,424,485,836,938,410,317,063,678,185,556,052,099,353,026,783,801,
957,360,289,703,012,734,402,469,515,861,018,341,376,652,435,685,226,800,353,
438,118,832,585,826,603,457,234,427,332,952,164,741,601,818,961,867,899,767,
201,539,101,536,118,210,408,728,553,345,698,848,748,546,719,762,444,438,989,
384,247,662,566,522,799,976,844,368,878,350,078,239,175,638,216,345,265,658,
900,346,472,476,239,040,197,267,839,144,809,584,920,519,306,055,150,563,099,
224,765,455,961,482,726,703,746,946,201,793,798,833,499,920,285,055,245,781,
980,776,276,136,219,317,615,908,902,389,871,408,189,321,106,893,105,506,907,
394,160,042,718,639,826,263,306,244,514,141,540,300,467,447,909,841,065,922,
636,262,220,258,978,439,204,308,681,321,753,363,962,782,241,643,236,253,546,
189,992,400,188,565,059,318,732,261,049,986,751,986,682,592,049,293,716,718,
062,344,171,634,447,922,141,627,854,099,863,419,933,425,490,735,265,200,088,
050,542,239,856,455,738,089,181,478,782,318,862,050,070,084,337,175,486,425,
404,219,615,961,534,993,223,025,686,961,477,537,420,289,750,152,304,832,428,
636,839,405,354,618,643,404,846,418,755,927,709,958,453,292,349,432,778,152,
317,014,243,090,478,860,702,757,446,340,837,903,624,478,488,863,530,997,574,
221,620,107,223,180,608,293,578,384,322,483,830,445,764,975,919,488,983,627,
907,988,795,337,329,134,105,432,672,030,398,257,075,078,308,331,378,077,148,
414,363,434,985,527,018,758,581,169,311,034,277,838,726,602,836,859,360,589,
529,875,647,527,840,930,326,243,648,952,240,819,828,897,433,740,375,540,666,
707,184,489,616,285,764,314,838,376,405,675,903,930,112,627,045,682,631,560,
024,647,889,511,985,590,038,325,154,010,921,368,505,735,114,401,008,562,613,
892,640,707,586,956,167,168,570,093,212,635,017,620,327,740,474,462,275,054,
438,551,536,229,540,309,399,772,401,518,069,209,794,781,278,546,117,497,680,
751,670,210,972,863,296,257,254,491,674,914,115,163,046,211,393,760,251,510,
237,806,194,709,147,241,439,456,144,588,202,604,511,028,093,255,241,672,415,
879,130,269,083,842,585,160,584,270,363,998,211,423,148,481,968,380,432,021,
092,653,863,022,097,140,818,287,677,791,621,149,631,978,717,354,246,630,695,
507,783,449,123,976,821,452,755,614,318,088,909,487,775,393,118,567,218,803,
544,851,669,458,097,525,338,099,202,260,529,632,458,407,865,047,060,520,899,
631,440,585,270,549,715,968,018,781,827,351,788,725,774,626,303,332,248,354,
687,263,426,919,562,878,038,942,199,381,390,584,009,045,299,625,488,609,651,
045,108,613,792,227,131,512,833,149,814,921,744,163,828,873,090,961,859,142,
921,455,157,666,408,592,950,566,949,382,885,525,636,090,877,013,750,688,512,
999,618,877,344,500,646,712,130,253,894,042,217,312,110,334,447,717,211,967,
992,464,899,421,674,033,439,152,913,088,464,350,933,492,071,562,095,355,213,
756,254,723,983,868,469,802,881,947,858,608,638,324,346,670,945,322,181,128,
036,048,238,056,457,434,433,274,010,784,750,218,832,631,880,176,343,812,409,
890,333,883,193,259,628,457,044,483,487,386,011,898,820,357,557,435,111,768,
655,594,674,693,705,630,227,276,129,279,308,021,297,311,038,863,169,931,363,
682,040,113,457,037,886,887,080,531,476,483,122,276,136,583,535,846,785,572,
989,219,989,049,490,226,358,645,693,253,672,865,681,279,345,988,059,594,207,
235,038,944,226,381,817,968,865,680,538,297,120,915,101,222,688,069,099,721,
045,610,797,221,642,417,256,608,520,142,211,272,636,415,725,968,418,029,273,
915,132,092,930,495,839,151,398,005,355,401,023,622,609,862,729,937,378,635,
275,078,645,024,683,953,292,386,912,686,322,069,631,394,629,302,108,089,915,
206,677,882,502,238,996,682,661,195,013,470,977,588,856,088,464,951,609,771,
571,124,380,116,898,068,137,766,742,609,893,463,509,396,790,083,814,172,359,
198,401,848,196,814,070,729,946,644,312,221,837,960,220,133,065,049,129,155,
220,393,448,657,207,741,084,561,646,020,059,797,734,950,713,078,907,624,172,
827,753,995,342,900,397,553,437,067,778,423,540,526,378,051,694,718,866,651,
797,417,648,265,358,918,183,470,444,543,715,026,556,841,823,318,476,175,739,
877,861,336,846,216,571,036,200,573,915,352,950,662,318,248,253,735,125,792,
409,848,848,505,836,078,239,610,558,371,315,074,583,605,305,541,092,423,762,
599,366,329,391,238,338,076,423,921,433,905,185,605,463,514,679,861,151,833,
452,992,657,234,315,501,381,570,586,179,122,604,196,757,865,736,975,761,402,
129,952,646,950,934,436,840,693,703,206,087,972,067,187,301,203,138,706,545,
564,764,226,696,891,753,661,910,652,727,510,226,309,397,837,127,736,564,580,
928,842,986,803,574,021,645,005,593,033,599,912,219,223,662,179,981,647,903,
440,914,366,672,984,421,275,576,652,041,905,160,996,885,197,614,093,554,957,
867,933,249,827,147,339,299,248,810,896,894,202,368,104,052,265,741,755,956,
310,167,957,724,413,093,184,038,736,758,662,805,529,253,577,626,165,559,580,
598,161,618,625,265,850,080,377,357,726,969,151,310,564,621,694,817,589,982,
287,593,187,789,094,006,720,826,286,264,244,598,729,000,150,899,865,317,249,
960,585,956,327,481,246,709,746,155,727,585,492,383,536,383,125,252,953,234,
908,854,012,619,573,978,888,700,453,500,210,197,147,931,437,164,324,055,654,
885,958,956,356,957,600,732,073,569,463,885,859,580,498,176,750,899,557,018,
241,963,565,315,483,326,759,504,182,104,395,181,450,208,862,811,494,167,058,
452,785,300,161,276,714,428,780,897,186,598,049,277,017,259,426,448,465,660,
323,240,650,272,997,353,321,649,744,699,147,432,898,825,075,696,000,707,657,
993,867,872,296,551,685,408,278,544,189,052,797,076,921,774,236,035,301,868,
127,169,506,414,320,323,442,440,885,828,548,551,547,206,059,634,024,882,246,
828,468,795,154,280,753,761,861,842,135,272,453,597,931,563,835,120,738,063,
880,563,175,363,758,286,830,072,794,961,529,102,200,794,533,559,400,329,350,
222,130,020,013,672,647,642,252,589,782,238,877,124,436,283,593,504,619,316,
378,337,631,425,429,748,504,436,778,814,245,280,343,223,063,246,746,885,493,
960,614,417,012,937,088,874,427,387,493,683,603,511,863,312,175,722,231,169,
257,503,690,160,124,943,819,288,046,844,385,459,553,248,340,381,622,753,792,
873,448,547,871,478,948,305,011,169,487,936,515,164,712,147,700,128,019,557,
004,103,434,442,966,674,087,644,148,944,916,445,389,713,320,875,641,078,909,
056,023,843,569,797,090,529,508,256,132,327,228,199,959,498,747,216,030,917,
775,679,935,345,868,425,653,783,976,833,277,830,636,975,685,140,358,304,401,
312,908,069,866,212,022,418,031,502,290,815,051,311,873,516,325,133,458,998,
722,699,384,050,345,216,443,617,525,561,366,048,600,668,047,041,358,253,831,
318,607,417,508,059,886,909,194,347,017,098,873,522,138,426,353,401,717,280,
179,883,532,383,216,538,401,234,087,114,436,248,614,306,064,297,610,177,626,
513,774,706,325,614,026,555,700,879,183,861,472,432,597,469,175,519,858,760,
747,822,041,317,319,305,181,444,322,149,148,867,381,585,481,648,899,616,140,
862,078,905,700,684,378,737,891,817,456,123,853,885,697,503,099,463,948,782,
561,621,379,377,968,275,647,049,151,621,925,121,075,956,364,450,451,899,151,
321,154,653,691,694,071,358,357,595,849,705,097,527,400,046,556,368,800,681,
840,101,528,227,786,232,391,352,701,979,983,829,813,147,243,362,377,299,270,
664,829,103,730,150,221,087,029,383,821,252,558,917,096,871,367,828,985,759,
881,773,298,900,671,552,411,238,832,334,982,124,806,459,636,193,118,029,014,
385,422,331,224,830,720,807,881,118,807,077,552,276,323,635,148,062,345,715,
220,580,692,581,533,239,449,063,899,075,454,144,824,366,211,975,947,009,745,
914,857,378,115,408,131,249,617,862,301,716,986,409,259,190,521,122,118,917,
676,424,841,358,487,316,256,364,012,212,448,484,640,762,433,640,118,762,143,
893,100,009,327,995,634,627,625,694,171,387,633,297,082,937,615,732,964,527,
066,386,713,330,359,622,114,992,024,743,692,052,092,497,496,762,889,269,021,
012,511,456,373,525,499,584,274,507,569,835,502,252,005,286,785,513,547,363,
273,048,861,652,196,156,063,874,809,535,070,831,277,665,522,729,264,218,765,
950,959,170,234,705,827,438,483,491,877,300,435,275,101,262,640,529,880,449,
657,545,297,603,356,436,709,560,575,165,444,202,976,624,635,194,109,504,783,
260,289,998,877,313,638,196,020,265,633,414,056,778,763,096,456,579,158,664,
647,601,563,595,361,426,011,183,685,113,998,492,506,533,591,362,828,625,082,
079,422,549,163,417,317,069,781,116,640,226,332,933,574,591,447,061,096,994,
695,766,666,247,500,354,443,159,060,369,905,675,719,421,322,454,327,081,090,
661,223,797,358,966,179,371,793,201,767,554,650,683,812,470,776,419,226,530,
274,317,688,366,705,807,477,376,897,836,870,998,068,797,250,569,475,890,695,
455,474,128,843,482,435,253,185,574,357,464,253,497,354,161,816,744,311,327,
844,293,471,494,188,661,629,367,934,233,494,136,321,726,978,471,034,150,565,
836,545,804,399,636,928,743,405,759,251,031,520,203,586,065,039,127,201,127,
804,699,547,891,096,159,944,976,232,194,265,628,445,759,240,283,568,572,598,
834,899,870,932,898,018,387,500,954,170,442,976,933,673,043,952,536,374,654,
385,346,755,037,283,105,963,905,272,888,468,586,050,648,405,370,114,084,288,
832,859,888,501,926,948,679,581,239,815,410,940,613,728,572,637,470,856,237,
617,409,325,171,635,389,832,280,650,881,028,681,470,619,571,292,306,169,802,
737,968,534,812,290,158,654,045,882,571,995,615,590,944,247,167,955,773,110,
122,598,076,008,557,996,433,146,910,065,090,483,988,026,538,536,140,619,816,
665,045,923,275,389,828,082,849,974,050,764,099,562,300,813,873,089,236,546,
225,282,019,120,660,230,269,596,235,272,167,392,236,946,149,821,188,137,090,
850,214,259,343,260,845,195,005,963,178,632,898,935,879,861,882,644,818,223,
660,007,522,673,008,726,870,967,285,878,312,464,636,793,035,652,023,155,871,
094,267,691,073,807,009,858,578,606,952,118,105,466,452,349,032,377,868,046,
932,521,017,785,439,467,351,041,571,203,478,739,137,046,831,317,300,803,263,
484,625,650,208,649,701,956,387,933,270,674,661,085,808,797,921,828,793,364,
423,672,321,039,699,685,388,941,565,825,504,135,994,031,344,948,156,998,209,
734,562,840,760,471,190,085,080,381,856,060,855,904,185,307,356,456,504,248,
255,234,625,892,681,420,809,197,719,488,711,436,313,163,450,316,949,569,838,
806,843,272,134,634,933,405,634,603,186,274,776,554,413,230,804,529,924,474,
243,876,184,606,427,685,368,627,191,769,535,746,206,332,552,454,994,169,335,
793,153,535,408,016,558,622,470,244,287,176,954,623,391,320,244,961,142,954,
433,106,783,800,044,384,264,516,830,944,362,123,851,084,536,044,460,544,340,
916,126,952,771,617,189,189,396,823,290,811,146,589,026,382,558,845,216,336,
797,017,714,659,677,168,836,687,406,030,178,822,968,469,216,812,919,080,372,
019,403,399,797,748,982,808,492,795,102,991,592,142,494,270,723,032,838,399,
043,498,705,177,151,651,933,802,384,759,274,454,144,479,522,027,662,651,649,
518,525,485,552,450,733,072,975,578,553,710,996,769,752,857,953,363,841,020,
825,786,567,933,117,964,335,921,960,521,293,737,345,277,023,272,355,924,644,
589,838,113,673,026,283,431,450,025,689,509,153,793,173,578,757,614,975,480,
129,624,919,740,968,124,162,887,627,445,015,764,883,711,779,699,741,218,139,
013,619,307,116,809,569,524,032,147,484,701,216,096,145,965,684,571,774,258,
690,800,834,293,162,727,819,495,994,704,008,359,318,387,306,635,894,735,748,
872,809,708,922,770,744,374,338,931,397,517,065,407,181,006,117,007,882,577,
427,161,822,310,380,475,348,785,336,433,864,409,663,784,110,309,281,679,772,
972,415,331,485,647,654,482,644,550,726,823,396,421,439,032,072,086,697,367,
409,756,614,644,717,090,257,289,391,199,745,662,630,921,040,502,042,373,528,
544,274,369,515,264,267,487,225,590,982,672,950,714,150,569,807,239,596,821,
516,942,580,720,324,269,459,756,503,824,680,654,079,934,915,962,094,998,514,
350,352,553,009,043,778,085,065,701,595,117,576,527,056,398,989,672,164,646,
948,660,394,658,222,621,788,201,479,820,608,146,379,923,480,366,767,754,439,
468,742,816,565,836,471,553,717,460,074,830,680,594,621,257,703,795,461,059,
507,113,003,142,164,542,254,268,685,650,689,079,829,615,500,168,506,482,966,
823,139,802,010,815,449,438,557,420,291,523,000,783,817,906,290,094,354,963,
357,562,621,798,329,579,838,073,409,037,845,119,049,948,302,995,948,782,527,
535,583,091,960,166,180,170,781,886,986,305,806,174,133,319,838,471,247,723,
204,384,073,120,615,763,086,836,550,605,652,187,220,327,393,241,734,764,827,
053,573,769,146,921,160,422,383,276,613,697,351,446,828,236,767,685,889,163,
479,028,794,410,593,725,450,744,169,791,186,790,003,908,435,067,236,393,036,
437,122,845,601,316,541,326,088,436,744,783,350,922,366,548,182,758,585,574,
947,317,845,074,095,475,931,159,294,230,665,170,377,807,557,784,430,586,170,
571,638,570,878,035,964,171,212,961,056,022,148,552,929,034,454,504,128,305,
448,674,180,288,488,828,109,079,679,994,070,171,305,615,343,638,859,351,979,
545,598,575,039,488,428,692,423,951,659,737,008,455,513,902,362,485,274,185,
052,069,517,207,040,070,858,567,039,603,916,683,646,689,968,411,303,228,812,
037,159,806,451,930,210,225,800,037,066,203,404,588,860,222,432,507,060,166,
747,240,722,852,880,941,325,308,749,272,571,763,383,662,342,165,474,030,652,
251,420,440,788,024,483,241,773,933,718,301,570,685,005,772,872,624,396,517,
252,449,036,651,681,511,410,430,135,299,283,779,278,537,317,922,387,543,446,
138,247,885,487,535,355,583,161,918,247,399,427,420,117,375,673,241,286,845,
283,701,676,901,834,254,160,132,734,415,874,585,612,519,307,912,535,261,246,
297,729,666,015,894,745,017,677,623,235,935,486,534,992,182,151,018,664,834,
045,436,666,598,430,553,283,449,412,910,810,549,998,101,681,439,376,155,554,
170,177,887,532,339,977,710,823,482,704,581,497,954,819,804,556,874,633,739,
378,624,181,247,314,834,087,605,599,054,992,154,689,355,784,062,037,879,801,
529,836,356,121,473,569,710,190,678,426,343,851,985,571,130,516,437,322,318,
622,301,845,923,883,224,266,419,865,117,427,592,919,919,123,155,163,517,560,
783,256,650,577,031,295,408,909,911,207,562,494,066,951,996,944,045,268,370,
809,228,290,068,810,946,474,630,877,908,305,086,458,656,087,797,403,120,752,
042,581,887,118,640,772,436,675,562,303,834,280,047,779,381,543,641,908,618,
545,084,936,077,373,544,582,959,246,324,707,127,246,834,523,485,078,972,376,
645,393,353,791,874,429,399,618,245,414,417,276,008,559,468,881,231,131,533,
980,755,636,200,627,237,854,011,856,481,492,720,034,113,853,301,235,459,434,
320,844,130,086,036,384,878,737,643,526,343,444,452,611,490,842,129,709,202,
547,040,815,754,113,264,606,600,521,904,358,081,348,574,204,509,912,032,926,
954,723,169,669,918,507,807,628,545,304,341,671,913,311,992,229,035,622,920,
444,225,577,144,475,126,329,374,429,068,906,360,334,046,199,446,601,599,210,
271,293,678,749,819,220,721,946,095,397,103,451,127,650,217,403,840,036,282,
554,046,583,330,983,242,285,280,016,184,477,381,232,040,454,473,167,741,536,
263,354,159,755,478,506,703,888,171,481,885,369,897,896,958,096,622,718,759,
103,975,458,886,942,589,962,656,345,661,215,389,524,337,042,477,661,227,596,
634,937,064,771,095,119,023,664,302,458,817,194,785,239,630,870,645,722,426,
461,085,563,654,981,350,571,386,371,217,709,837,668,935,643,523,866,134,629,
169,152,517,379,993,876,394,920,163,112,894,490,427,526,104,798,502,338,929,
441,299,969,039,820,540,730,188,778,863,353,485,657,895,065,994,237,065,914,
352,997,604,100,098,011,052,254,297,545,304,395,517,419,167,918,211,531,749,
184,974,391,320,699,471,804,243,331,730,527,843,905,467,461,556,549,201,362,
637,408,740,915,888,925,558,063,478,586,253,996,597,299,276,561,826,735,969,
825,706,688,159,631,837,189,751,516,867,917,937,219,989,994,160,268,492,319,
716,411,181,014,420,127,286,796,884,405,950,570,715,269,964,669,312,276,842,
737,680,091,517,610,045,830,795,310,651,986,249,440,551,153,072,986,950,546,
001,845,291,369,438,356,580,113,891,200,367,150,409,257,364,096,140,543,473,
985,472,746,018,469,958,754,267,446,011,603,599,094,147,921,199,949,135,161,
427,114,714,546,593,964,489,389,233,341,392,186,261,052,354,631,989,998,422,
581,140,674,938,108,887,562,248,117,837,144,298,193,671,800,225,389,164,340,
208,104,615,796,792,218,590,214,209,627,097,690,138,484,577,598,923,240,295,
412,574,849,084,956,466,479,314,577,427,107,783,397,371,606,621,885,386,558,
613,757,381,660,103,453,337,613,006,219,865,795,815,374,657,806,797,692,122,
659,149,966,623,023,014,906,266,860,237,846,954,503,698,720,616,782,510,499,
822,862,407,354,125,503,830,846,653,705,374,354,423,572,408,529,278,024,326,
696,977,946,244,537,494,004,394,915,389,251,445,339,964,889,272,724,771,532,
840,087,404,175,781,488,657,511,931,693,705,148,245,645,123,381,871,912,823,
878,603,690,358,754,887,086,481,510,061,382,509,420,716,259,390,748,418,925,
472,198,104,599,421,878,661,292,621,332,466,956,312,441,459,058,803,462,804,
674,700,498,469,974,035,709,846,341,308,259,983,934,481,369,333,741,095,102,
734,735,760,970,363,886,617,552,273,409,992,559,862,226,379,812,218,569,991,
635,259,606,812,822,704,545,272,058,911,094,854,422,454,313,399,082,794,050,
396,884,767,221,292,460,751,381,165,932,883,239,160,210,932,782,568,688,991,
665,609,530,257,900,959,072,653,786,216,614,899,864,416,538,841,379,781,399,
576,739,145,299,039,822,575,835,618,419,201,523,421,868,128,236,713,972,152,
867,826,112,999,934,482,632,377,429,738,425,486,015,937,653,289,017,473,759,
283,967,530,695,001,785,304,802,210,614,403,023,159,985,785,953,449,372,306,
535,703,217,626,514,686,503,105,841,403,597,296,710,811,669,540,209,411,393,
058,259,225,398,043,303,669,281,071,888,104,260,983,646,958,198,401,031,228,
588,210,095,220,614,617,361,400,024,048,030,567,530,949,669,886,305,521,734,
100,016,640,615,181,530,675,692,477,773,551,675,515,802,142,717,756,552,469,
410,435,103,788,921,277,344,916,547,108,360,614,939,855,312,081,090,686,145,
477,441,276,423,480,585,687,748,575,663,907,153,098,785,192,602,278,808,204,
909,541,050,619,278,500,620,729,194,708,784,085,395,596,853,850,069,980,803,
446,211,695,229,571,345,515,993,852,674,576,047,765,700,005,159,963,337,212,
514,530,362,861,488,400,150,522,920,272,768,831,504,232,687,373,869,282,564,
547,382,194,578,719,377,311,898,594,981,584,736,992,529,549,291,376,437,182,
436,435,794,858,198,052,191,439,017,597,317,424,972,436,773,451,418,929,012,
013,756,125,349,278,011,216,172,457,767,692,005,056,460,706,835,822,663,249,
262,628,240,630,066,743,117,658,809,282,893,022,616,998,031,170,175,810,850,
513,941,373,716,753,919,139,433,663,262,048,232,595,945,691,789,083,352,333,
109,849,945,375,142,590,564,722,374,735,682,425,796,405,077,238,601,021,910,
471,998,931,503,862,897,401,448,272,988,942,805,729,983,507,910,712,410,374,
499,342,756,443,853,104,083,331,813,807,108,857,649,933,061,189,837,556,944,
610,040,153,585,419,172,560,197,616,165,429,426,632,890,303,578,455,409,633,
289,964,082,064,848,454,255,296,089,676,605,407,450,940,126,571,756,475,799,
159,442,640,143,050,998,397,598,625,841,639,624,619,906,081,609,652,751,752,
837,424,593,024,939,283,213,452,410,061,653,682,015,287,408,039,932,582,050,
087,270,397,508,353,966,172,931,193,880,946,385,108,364,042,617,844,451,557,
673,402,359,358,453,699,945,366,624,439,277,271,574,368,877,542,854,663,708,
991,371,117,313,528,864,838,061,041,386,873,466,056,790,326,817,346,925,694,
368,641,708,022,206,090,478,112,942,870,123,055,401,402,522,919,969,220,163,
521,482,790,316,875,484,077,109,166,436,051,388,927,195,383,820,349,947,826,
593,587,663,697,776,478,237,194,387,055,324,210,591,462,698,003,283,200,195,
137,320,484,028,210,843,699,604,660,097,498,306,087,542,479,804,129,325,157,
893,849,932,926,024,520,876,213,486,104,145,228,442,178,261,444,529,559,191,
117,032,888,023,946,659,073,835,725,364,041,164,575,746,936,345,510,202,619,
746,264,787,379,283,889,675,448,303,183,655,761,111,010,443,556,364,398,117,
801,034,382,881,100,600,628,062,709,570,172,674,924,755,384,045,116,416,055,
129,781,886,495,487,905,551,936,542,101,800,053,505,379,030,600,441,517,346,
889,226,747,386,674,681,305,303,635,031,395,540,711,189,699,459,572,885,972,
043,053,502,874,301,825,413,795,339,177,473,138,694,702,338,808,299,507,886,
430,100,704,457,149,541,608,014,344,465,537,881,896,362,528,762,822,285,488,
773,993,035,255,259,347,107,901,427,044,209,674,743,674,997,366,354,884,799,
576,052,496,193,984,596,558,187,696,312,107,803,798,528,397,562,673,801,637,
200,033,745,339,975,469,514,400,882,768,993,172,944,191,153,449,928,186,176,
069,602,261,066,788,288,930,005,432,063,412,219,652,865,644,167,568,976,676,
481,702,606,801,143,974,919,865,407,075,521,415,578,301,346,758,291,550,339,
743,577,990,741,067,393,409,272,099,024,702,296,507,597,089,423,192,194,347,
092,117,282,971,447,396,573,222,102,938,122,521,540,305,614,633,872,862,407,
661,119,623,836,677,503,861,852,892,881,271,417,436,418,168,497,947,324,950,
625,941,579,175,849,230,888,531,559,736,269,349,392,574,851,540,762,591,994,
160,869,684,880,229,339,245,394,781,420,461,640,720,506,896,133,610,799,725,
265,888,672,950,530,830,222,616,422,982,007,920,949,398,702,928,158,045,269,
123,208,763,462,689,957,111,236,794,162,514,493,179,966,305,770,483,803,160,
151,619,378,304,848,507,922,910,142,440,216,674,399,622,721,292,819,262,438,
556,399,622,890,374,077,839,497,584,310,955,231,856,190,070,331,821,011,274,
258,098,456,838,313,791,807,797,246,736,267,874,514,304,821,661,979,727,291,
252,749,244,996,916,922,634,713,558,134,848,084,679,798,347,313,721,883,529,
005,308,010,872,623,290,594,623,501,475,336,198,513,170,617,112,588,147,130,
162,582,994,835,073,928,074,204,552,780,859,907,099,387,031,506,785,063,469,
106,212,134,965,935,867,082,669,542,922,917,524,101,753,454,778,477,894,604,
796,923,070,216,201,216,926,058,495,698,924,548,217,989,217,764,692,426,445,
547,379,981,978,267,596,735,268,839,902,236,285,399,380,783,410,765,523,721,
497,930,167,190,669,263,887,080,346,292,590,170,201,791,660,482,152,742,316,
460,850,816,039,484,943,887,005,586,005,908,191,282,633,760,394,121,931,013,
967,149,344,215,397,697,125,599,114,250,184,253,159,070,214,059,217,143,274,
682,991,152,286,552,039,548,731,661,965,326,130,477,267,320,553,918,250,370,
073,974,427,015,853,641,809,649,102,440,693,225,174,205,501,092,165,056,040,
968,563,657,144,248,061,625,658,849,238,744,969,643,345,645,111,294,951,204,
314,695,205,230,904,134,027,121,836,021,191,558,763,650,082,124,193,579,721,
533,554,926,156,994,480,780,762,887,090,808,286,431,192,257,695,393,083,379,
269,585,899,293,799,623,508,386,053,919,220,321,208,172,654,853,304,356,456,
841,378,112,702,459,201,010,365,190,271,053,039,895,839,562,084,466,095,341,
585,826,240,527,087,823,244,665,167,220,744,192,851,144,371,922,290,751,537,
057,216,387,911,295,717,450,924,310,977,834,432,001,792,398,863,923,179,624,
404,541,306,748,354,276,260,433,276,385,457,078,380,571,932,190,116,528,063,
464,880,647,194,249,358,533,871,830,307,559,139,156,800,980,827,994,375,373,
651,061,173,258,902,520,938,880,177,339,676,126,401,026,542,921,435,210,363,
268,430,521,900,281,446,696,777,694,596,352,254,700,449,728,597,521,773,634,
926,826,722,088,268,356,639,900,062,553,823,775,218,873,908,073,306,477,289,
384,179,478,599,652,445,084,755,247,655,051,869,346,668,405,366,940,797,088,
791,384,431,339,351,307,100,524,270,306,366,594,517,078,658,787,371,219,982,
601,599,352,873,878,491,537,744,391,892,916,932,195,409,196,779,974,702,815,
830,874,421,112,837,786,389,945,703,616,794,060,244,594,920,613,319,377,425,
301,580,869,159,126,694,041,895,453,252,735,769,134,864,111,377,839,531,062,
772,992,551,124,093,739,848,827,296,119,213,285,693,296,441,104,616,673,714,
458,454,958,089,957,240,708,511,034,157,216,286,973,472,426,958,569,823,489,
231,187,699,749,148,827,205,238,406,785,416,782,772,522,799,097,506,600,797,
681,868,086,196,363,807,238,042,545,894,548,323,898,492,884,134,740,251,296,
964,201,694,179,695,669,008,229,633,356,793,642,648,010,732,941,440,277,133,
540,354,697,396,084,282,842,794,625,722,651,109,999,380,615,918,021,187,170,
057,631,872,205,264,437,737,304,638,379,695,988,597,517,087,164,506,688,554,
895,169,565,576,768,068,779,233,167,089,354,472,256,723,410,613,378,931,138,
704,261,465,205,830,360,423,142,990,521,549,161,700,843,170,890,169,875,748,
787,211,428,055,237,073,067,493,264,447,095,602,106,857,791,215,018,634,017,
507,633,326,794,871,398,475,773,800,718,819,555,350,862,372,605,445,341,399,
766,666,708,751,725,891,397,309,134,485,388,893,071,179,842,575,713,065,696,
146,446,530,319,094,318,962,775,218,204,403,447,422,326,499,942,989,122,626,
506,999,884,940,477,177,781,327,073,870,995,827,104,802,924,132,219,465,999,
163,660,196,226,262,366,203,682,002,074,169,872,919,514,912,469,028,563,592,
829,309,182,986,398,639,343,380,089,108,182,425,641,159,325,528,979,475,424,
998,263,211,191,383,525,500,929,021,145,583,034,186,302,847,528,517,021,929,
596,748,582,097,204,653,127,771,775,991,972,352,292,880,634,080,762,833,119,
085,136,482,491,217,008,082,968,694,133,899,436,175,187,941,231,170,788,252,
816,993,179,751,831,392,816,081,304,948,074,141,236,819,332,082,837,735,371,
753,062,647,422,750,499,843,315,275,103,135,607,152,954,435,592,994,971,212,
682,552,649,508,820,631,960,196,741,611,515,273,942,275,110,317,712,522,122,
355,891,097,062,250,877,650,011,504,376,234,342,006,598,862,406,788,606,052,
224,375,269,313,051,153,180,380,744,022,618,043,386,665,663,902,375,419,870,
952,428,212,177,195,921,223,595,538,228,388,003,091,254,308,999,382,796,787,
254,411,742,035,041,637,124,368,452,465,146,168,634,440,117,084,975,679,490,
807,107,772,708,722,908,363,539,449,540,497,955,564,150,015,434,299,336,091,
346,558,928,916,144,446,696,643,425,468,101,608,599,543,914,869,141,624,081,
287,095,435,904,737,443,857,442,706,489,660,127,808,801,581,713,913,939,210,
805,740,243,754,311,757,865,546,377,433,650,839,556,923,995,442,825,621,104,
251,352,454,520,318,102,896,560,340,604,371,398,751,778,951,474,776,401,975,
292,416,052,961,683,981,941,840,641,249,507,335,223,792,350,064,551,711,970,
423,457,113,213,189,502,279,357,948,775,680,210,690,616,680,724,463,109,621,
007,382,886,465,353,575,502,278,971,743,268,171,379,650,796,511,498,330,977,
678,264,874,389,481,821,615,186,677,459,076,303,167,835,053,122,384,838,503,
088,727,300,812,170,546,053,902,103,127,532,918,693,702,321,409,966,946,239,
281,073,485,604,279,229,387,564,973,514,043,937,304,181,363,745,366,634,183,
207,558,004,293,778,908,393,321,649,193,428,806,833,947,791,424,140,850,090,
711,936,697,193,761,889,216,567,937,635,215,786,798,805,740,259,115,158,757,
940,824,456,344,106,151,869,295,978,899,807,719,846,648,322,445,988,781,671,
058,449,112,797,573,782,675,857,101,885,884,972,927,669,463,784,889,638,466,
929,570,642,532,547,742,135,313,566,931,399,266,040,466,624,369,601,647,038,
978,977,385,955,356,525,132,160,640,791,022,476,812,860,843,987,830,174,186,
471,568,594,811,231,048,600,408,200,505,306,206,437,486,108,642,312,127,380,
913,821,655,927,464,304,882,964,411,298,005,539,228,610,134,080,222,615,780,
669,296,888,230,558,591,506,222,928,582,809,739,769,440,890,288,370,246,803,
950,671,606,324,289,602,671,367,950,884,214,685,761,518,837,307,916,190,922,
500,505,993,749,165,313,663,774,498,830,612,786,853,578,354,668,208,282,846,
108,985,023,693,559,746,645,710,376,729,413,100,694,767,964,922,479,777,729,
186,723,472,702,992,357,058,333,038,726,707,091,277,564,209,217,480,077,551,
709,835,873,571,327,014,841,417,751,701,808,647,074,622,827,924,775,865,990,
034,416,895,369,329,607,520,363,465,445,953,451,380,917,294,628,193,579,045,
022,214,132,291,818,440,433,552,360,294,359,528,870,904,810,935,540,055,548,
899,152,737,669,887,133,943,996,411,817,642,134,259,750,622,044,991,156,961,
143,110,919,680,242,504,820,742,690,267,079,250,690,614,846,081,891,850,935,
424,488,612,341,934,538,916,322,929,001,629,232,563,017,081,791,168,417,240,
095,150,861,056,834,904,552,149,945,348,897,035,219,434,114,298,354,194,630,
970,304,351,660,406,016,470,725,784,700,779,201,016,555,379,411,222,105,852,
119,563,496,174,550,547,789,465,444,957,816,515,865,477,647,942,622,536,790,
579,731,578,445,664,329,621,710,445,596,658,632,939,389,545,147,249,460,344,
458,399,654,612,296,792,045,681,893,990,063,480,007,911,084,780,499,287,228,
802,778,575,733,596,901,656,404,383,159,000,936,617,967,055,897,392,079,209,
212,183,415,772,206,260,872,973,959,348,808,772,399,254,623,422,689,971,986,
408,839,363,809,707,978,361,751,262,784,077,710,656,058,524,953,131,661,592,
414,804,432,334,975,766,113,498,968,312,434,636,691,670,050,767,051,731,778,
367,462,167,130,305,929,997,665,362,369,475,363,467,038,236,286,315,689,841,
544,358,132,061,819,958,470,951,404,641,737,649,025,477,746,913,865,452,218,
235,991,456,963,034,524,874,204,538,000,082,946,630,891,522,750,919,861,684,
000,939,871,891,509,305,548,377,943,195,067,920,215,805,834,353,635,987,537,
620,357,426,555,782,658,623,563,474,854,736,784,178,198,271,548,248,004,897,
414,142,566,292,757,582,388,332,601,696,908,776,516,226,735,830,015,198,752,
533,342,739,987,238,093,385,001,707,865,622,754,018,467,157,642,917,286,874,
316,060,591,022,682,125,110,740,859,153,325,801,644,064,493,975,508,302,167,
908,386,211,810,952,671,955,970,711,612,146,901,991,011,186,455,263,725,665,
494,645,315,251,229,775,560,791,277,788,318,543,233,209,845,577,710,940,206,
502,542,549,035,953,841,341,223,585,698,389,896,877,842,843,671,911,274,953,
487,017,468,312,571,122,075,942,883,586,782,065,033,266,768,664,060,625,486,
373,935,779,534,150,717,712,972,930,467,552,208,527,244,818,437,312,975,691,
763,867,612,056,057,937,459,048,915,641,122,220,637,107,740,682,065,715,796,
192,343,433,420,104,992,994,611,226,065,051,514,133,289,612,641,725,756,132,
561,040,767,519,944,884,223,953,195,031,503,774,571,689,811,427,666,060,827,
280,700,467,965,622,734,477,519,519,772,694,978,247,610,684,946,371,911,869,
608,147,999,900,919,301,383,887,935,982,669,509,913,103,042,200,761,731,868,
938,977,205,324,420,852,852,756,675,781,565,463,109,923,099,052,964,957,656,
596,737,554,607,228,705,716,477,429,475,901,027,315,497,463,200,624,820,779,
850,771,988,084,388,998,447,717,607,915,299,139,703,831,791,526,938,144,645,
136,094,909,431,350,742,962,010,050,933,031,325,259,835,358,494,474,738,739,
985,936,964,915,997,676,236,069,856,422,585,290,681,399,500,098,555,547,401,
630,038,710,582,226,150,039,592,691,166,867,150,769,051,459,189,876,290,914,
456,167,932,123,512,686,420,742,799,963,165,062,615,960,852,749,975,465,725,
921,842,536,320,444,549,188,238,159,824,748,664,684,745,302,103,375,395,947,
565,020,772,237,779,902,106,065,629,053,419,231,245,417,921,542,990,859,494,
224,822,377,693,482,605,121,038,786,965,253,879,509,311,801,840,164,305,024,
857,454,749,970,104,759,653,175,293,895,779,147,424,456,627,798,940,628,038,
436,055,996,498,600,426,732,850,035,089,909,507,047,152,673,708,943,038,227,
668,531,335,194,864,207,165,936,849,047,908,105,902,385,687,688,805,824,891,
558,642,979,087,432,288,627,416,018,598,973,669,910,188,381,736,226,260,231,
616,874,300,869,316,563,539,243,382,632,707,821,257,750,632,659,421,925,043,
462,306,428,949,895,424,396,691,433,756,451,637,552,289,953,069,038,192,717,
428,360,538,543,772,238,392,164,918,409,042,528,814,503,566,667,169,159,220,
477,957,640,703,880,588,267,532,784,014,521,384,335,725,967,488,828,113,309,
491,669,266,166,844,881,808,623,698,807,544,271,359,246,757,142,908,787,727,
859,502,003,592,521,206,946,939,937,608,883,005,600,597,963,675,390,398,429,
446,289,852,054,499,586,619,626,687,496,392,394,982,649,783,384,789,811,876,
855,984,717,807,630,433,397,209,172,736,179,167,190,239,924,814,589,465,770,
935,150,467,859,679,341,259,470,993,227,519,064,239,004,889,202,896,473,815,
314,868,694,248,164,130,059,795,548,486,253,277,255,193,275,408,855,213,396,
371,590,102,899,751,224,168,913,798,159,907,530,091,883,381,300,666,983,677,
082,807,592,335,647,501,103,601,771,113,889,769,920,588,092,097,136,581,886,
611,835,675,169,296,311,509,249,633,581,993,720,195,012,783,301,981,936,838,
342,546,647,216,865,084,140,384,583,035,695,728,512,054,960,486,722,893,491,
182,477,721,768,384,056,591,847,796,540,906,095,307,209,063,799,282,394,005,
186,840,903,631,911,926,273,727,235,509,771,471,355,295,661,296,480,886,995,
644,339,929,315,911,307,137,711,265,080,987,831,472,851,108,720,407,154,818,
600,857,130,503,527,208,069,845,401,447,795,940,784,801,664,712,951,697,463,
022,580,469,146,824,353,916,310,818,308,992,175,337,964,738,328,627,229,949,
586,912,113,725,683,428,178,266,211,485,080,339,109,994,515,070,133,969,862,
806,589,303,272,076,276,404,627,551,071,060,471,186,463,756,301,810,782,133,
639,911,075,586,797,370,602,610,680,300,832,313,047,936,975,821,163,873,643,
213,228,463,356,157,665,191,091,573,143,502,649,831,053,053,282,931,177,326,
324,848,154,391,512,092,269,664,691,486,424,176,850,387,673,968,209,051,052,
838,554,539,523,210,997,740,062,926,310,729,181,640,775,482,962,114,616,819,
442,539,532,922,603,641,216,059,050,620,520,411,147,187,008,855,349,582,335,
746,450,796,019,716,008,562,149,623,041,983,309,973,022,981,358,210,051,000,
723,821,203,097,479,717,600,364,398,202,687,412,009,986,420,690,803,432,255,
820,258,832,590,742,378,067,658,286,398,433,209,986,997,627,759,125,002,572,
518,823,520,461,519,513,223,558,093,474,695,750,461,182,500,456,482,805,970,
398,072,736,798,115,051,006,778,240,768,143,386,222,491,216,061,282,270,181,
515,970,631,344,851,851,418,296,425,963,146,097,500,807,881,591,246,417,412,
741,904,547,510,436,436,632,105,671,118,496,048,406,657,253,565,200,263,144,
752,477,074,297,979,811,273,821,359,455,129,805,316,394,643,811,686,113,161,
154,480,565,040,046,348,166,190,954,351,470,343,167,493,354,488,634,356,148,
290,782,900,896,726,911,437,758,307,228,030,842,185,876,830,239,576,967,204,
726,124,535,262,367,106,411,692,432,591,007,621,290,731,817,332,911,791,826,
361,722,094,421,990,301,185,916,867,903,224,888,666,474,369,529,030,979,295,
948,626,817,713,627,636,804,764,008,882,274,409,079,443,596,483,768,733,765,
417,180,194,090,750,643,305,924,971,656,142,044,704,140,806,215,979,660,542,
293,971,291,504,884,818,169,533,785,983,268,028,269,067,982,642,582,406,925,
560,614,593,927,284,161,253,353,932,136,619,474,875,150,159,242,410,595,551,
459,689,220,430,057,014,247,051,764,447,015,735,142,276,102,745,136,888,487,
585,758,761,384,873,427,518,503,971,895,311,355,740,862,200,065,378,267,896,
781,742,796,735,847,453,090,812,769,693,674,601,894,570,956,640,459,635,600,
334,640,291,626,989,492,108,198,804,893,507,428,926,427,985,244,456,845,483,
723,839,844,121,767,446,941,860,839,846,559,566,001,933,391,233,636,658,279,
287,340,312,748,422,646,159,060,173,842,304,843,743,235,542,931,992,946,596,
146,404,680,603,779,660,868,312,273,264,674,695,463,317,404,795,864,954,123,
757,512,224,307,579,073,028,334,006,879,029,945,764,814,371,172,577,228,007,
480,959,704,751,203,335,515,185,757,941,582,847,770,115,270,038,335,697,402,
820,822,157,206,856,919,848,304,601,049,677,988,789,387,716,948,014,858,221,
599,461,862,015,268,541,031,535,481,019,595,689,361,888,891,078,684,400,573,
482,202,291,285,929,606,353,830,339,264,449,273,063,666,894,042,372,185,338,
508,669,207,927,794,351,604,412,365,180,165,254,303,677,615,648,358,533,865,
421,431,040,427,463,065,102,891,344,875,145,281,986,025,442,591,359,224,379,
431,888,310,299,300,384,715,778,496,121,027,456,357,041,613,104,775,130,126,
609,859,769,458,811,882,955,483,351,755,374,569,221,687,665,640,541,529,705,
780,606,535,885,376,904,486,449,611,789,780,256,475,020,222,649,866,316,730,
302,737,608,587,672,462,127,666,534,235,994,612,087,891,003,940,472,802,922,
774,557,006,068,190,393,832,497,751,337,215,463,808,471,362,720,477,877,252,
036,758,219,964,166,606,535,526,013,774,425,938,967,961,166,205,292,376,626,
915,590,603,346,768,858,384,479,472,279,674,001,523,553,934,146,535,093,036,
652,928,632,691,677,081,837,220,354,930,109,700,871,875,379,343,715,075,046,
954,127,010,454,547,215,626,014,579,927,604,270,173,974,100,443,657,164,976,
244,921,708,699,890,841,701,553,086,267,658,932,950,317,401,022,931,975,148,
176,690,823,112,036,076,745,108,597,191,943,249,313,890,274,764,777,304,389,
115,011,338,220,111,061,357,032,885,269,000,164,945,194,593,595,238,254,165,
469,676,210,175,685,288,477,043,584,642,092,922,227,747,033,705,957,205,528,
054,898,978,671,990,776,523,534,701,977,195,403,001,730,208,691,457,161,321,
478,452,167,948,978,534,350,435,204,038,436,331,752,109,760,973,012,948,197,
924,032,942,804,993,050,929,895,447,998,027,624,953,050,724,558,130,300,735,
701,662,448,769,583,811,514,231,878,297,509,652,982,939,515,463,235,854,551,
608,341,773,224,785,920,900,254,824,273,149,476,803,586,236,152,030,705,695,
515,066,449,494,883,547,481,179,709,546,769,205,994,325,931,997,833,405,333,
409,587,163,695,113,694,089,537,076,370,679,522,797,297,167,514,566,360,511,
032,052,594,335,517,552,757,789,917,520,807,309,871,661,858,950,719,200,791,
716,356,376,747,123,214,098,243,808,647,177,519,718,777,918,043,853,084,978,
327,972,388,011,682,653,757,259,634,556,420,352,018,013,176,104,659,547,198,
160,243,608,556,981,763,533,277,991,968,922,250,945,611,448,543,126,100,575,
130,364,498,168,236,351,490,988,029,161,373,679,022,882,641,666,429,667,258,
840,510,673,536,102,655,507,739,519,242,855,334,664,532,597,673,466,307,238,
493,746,477,859,563,882,681,108,796,055,901,587,678,624,120,123,126,075,400,
300,740,311,804,990,873,774,747,431,153,287,521,207,441,937,498,378,950,843,
551,043,010,418,486,253,588,837,199,605,269,306,206,718,823,752,467,836,365,
107,906,599,447,822,272,591,827,167,850,879,107,570,598,064,928,562,585,365,
600,667,827,346,809,180,600,876,388,356,090,705,815,040,102,523,198,574,158,
267,509,428,033,823,020,618,656,127,867,054,376,709,210,882,133,501,136,087,
993,428,757,197,463,516,576,839,626,151,425,380,805,663,648,542,516,131,708,
422,658,825,660,172,658,687,495,828,875,466,724,662,919,250,827,364,714,739,
614,080,066,841,135,192,086,690,385,982,621,549,353,743,263,728,284,682,360,
343,225,200,967,886,469,115,782,973,927,920,332,733,622,354,008,983,316,360,
300,413,716,478,305,045,990,261,224,139,201,789,733,862,722,544,719,695,101,
484,029,040,529,103,157,561,310,873,912,965,008,151,626,204,380,550,655,687,
876,729,583,084,188,332,341,714,556,049,217,954,925,646,966,615,788,791,190,
094,584,856,466,423,463,855,982,226,358,304,215,060,670,511,257,297,424,785,
248,843,250,035,593,319,252,508,288,250,692,592,191,762,085,507,501,213,812,
948,016,133,344,528,430,005,018,390,792,032,328,438,354,652,016,725,647,316,
873,032,053,301,894,908,737,368,218,560,599,806,520,035,888,693,677,435,544,
729,296,833,477,375,066,729,711,307,047,998,822,035,804,023,742,711,689,233,
202,721,105,503,678,280,397,815,670,928,368,453,227,567,294,909,581,880,341,
080,938,685,170,559,682,575,370,824,102,004,274,730,821,995,294,426,411,359,
230,674,982,799,547,494,793,127,361,146,961,002,729,402,615,234,094,715,250,
067,097,954,915,203,593,914,062,846,341,909,275,694,950,336,259,021,949,418,
258,935,176,063,962,152,630,890,569,911,710,360,730,802,440,290,688,572,650,
359,667,591,636,642,201,161,112,333,311,049,140,767,149,724,825,069,350,314,
135,427,978,289,626,333,538,789,962,910,323,211,132,405,765,788,321,989,435,
662,906,345,568,936,041,653,497,920,739,182,536,901,561,613,577,521,973,135,
587,260,632,843,776,980,399,217,471,364,478,966,629,927,629,754,185,318,316,
698,262,341,013,848,284,271,891,670,580,549,668,099,670,003,195,821,198,679,
800,480,355,316,802,573,469,162,541,171,922,978,111,665,064,435,122,814,003,
275,585,890,777,646,494,799,258,084,910,810,416,946,914,293,524,064,346,056,
698,419,192,720,552,140,741,373,748,718,284,125,515,983,397,295,884,176,030,
047,703,107,511,818,035,463,383,458,377,275,492,216,357,842,233,980,770,939,
809,250,341,917,816,880,450,119,871,550,139,550,459,152,648,331,588,087,005,
268,527,041,713,104,197,099,835,588,773,180,798,715,436,892,824,333,851,967,
063,599,524,001,146,373,589,663,288,592,007,484,489,148,597,634,344,990,559,
000,669,395,583,191,236,549,504,693,590,493,777,672,736,641,436,580,566,776,
614,602,332,682,469,000,834,226,258,379,393,211,915,540,404,755,591,069,002,
992,615,042,078,656,356,391,125,810,039,127,424,300,913,781,134,586,429,513,
310,890,298,446,054,909,629,134,422,232,601,613,437,670,913,447,191,216,037,
391,177,007,852,342,719,171,229,965,537,845,831,963,489,663,869,615,709,476,
047,022,683,868,209,951,610,209,635,046,124,340,301,858,820,155,388,084,170,
705,919,505,760,146,679,198,955,578,990,763,174,192,226,323,327,266,357,432,
054,616,989,375,614,356,578,813,297,279,495,156,065,123,772,791,491,063,845,
079,704,395,583,638,531,063,215,379,453,319,566,732,682,508,219,174,163,677,
747,714,613,390,401,458,013,047,983,887,173,679,494,763,666,495,792,346,148,
137,565,532,512,238,955,898,669,604,931,009,170,665,879,846,487,224,544,493,
985,041,650,669,143,355,138,004,756,724,287,589,430,901,918,145,008,146,329,
815,621,425,679,666,825,053,358,186,388,724,224,832,057,470,981,054,095,634,
358,181,310,615,239,710,396,514,691,141,104,607,968,636,146,481,192,324,616,
530,143,794,738,118,109,771,913,627,674,081,497,399,918,737,310,799,985,549,
732,570,090,745,700,831,614,454,974,455,086,241,529,655,728,850,045,421,642,
999,972,134,351,653,991,743,561,516,887,939,419,502,748,642,514,201,454,302,
520,276,093,257,577,045,976,492,345,139,866,660,351,365,417,930,831,402,048,
113,167,985,548,452,728,847,803,802,712,658,844,750,303,222,792,659,050,740,
915,334,652,357,693,890,578,511,103,612,912,783,773,459,396,744,885,409,561,
856,094,627,316,866,496,380,052,856,235,567,125,686,596,757,358,727,607,642,
480,084,657,554,831,452,278,639,230,702,447,699,972,299,749,369,801,925,041,
008,809,825,697,254,509,582,038,371,866,505,258,587,372,467,124,373,680,171,
140,784,530,248,535,896,652,784,968,513,668,389,983,572,057,028,060,408,083,
043,154,106,190,125,115,033,597,667,726,877,984,530,264,481,260,970,052,846,
505,748,533,917,069,870,768,218,798,727,870,625,288,342,337,457,428,784,031,
496,533,953,322,933,728,970,954,300,847,881,316,363,947,543,162,921,480,124,
957,847,510,511,681,340,827,965,943,734,097,104,595,090,477,221,671,414,441,
600,681,957,756,772,329,605,948,445,479,207,154,170,997,581,980,799,699,874,
268,619,946,330,637,274,682,359,996,733,012,266,741,956,691,262,747,245,887,
271,855,857,127,296,721,497,998,487,152,923,468,457,582,559,317,758,514,388,
711,462,833,156,961,076,208,996,160,134,131,535,409,196,277,778,390,100,898,
414,638,557,261,461,953,909,583,692,938,168,289,718,672,675,074,605,488,752,
484,111,281,477,187,623,113,073,441,386,905,980,234,446,452,903,671,082,393,
841,461,760,154,954,729,129,346,613,793,805,499,411,039,206,814,037,741,385,
421,675,012,198,510,494,324,983,064,790,621,187,210,139,665,195,937,468,988,
244,815,602,494,977,042,742,350,683,970,177,797,838,573,056,815,112,173,131,
250,942,228,566,759,679,917,939,339,426,087,529,871,628,389,794,019,179,671,
075,563,546,927,014,939,185,797,462,376,319,840,407,380,369,484,986,358,936,
559,256,025,240,996,539,499,568,182,453,117,736,434,429,533,574,197,315,028,
039,703,217,231,737,606,535,295,502,627,003,822,827,040,929,520,847,203,094,
085,380,041,866,780,262,314,483,164,874,310,672,956,880,009,206,032,825,147,
594,742,185,013,255,972,683,607,328,155,412,670,697,310,165,570,588,995,724,
082,652,554,193,210,254,247,141,202,498,720,346,444,589,816,045,306,166,356,
105,537,932,382,412,552,089,353,641,327,825,173,671,934,558,173,305,077,924,
802,105,771,186,534,382,894,753,544,937,660,099,563,988,738,450,235,321,000,
830,509,537,701,365,906,538,055,883,512,761,559,014,975,532,544,172,094,794,
644,347,916,865,366,147,244,323,555,696,015,024,473,637,202,295,024,525,617,
817,433,445,503,372,165,103,124,278,930,014,370,135,915,199,148,279,930,537,
052,048,515,856,175,337,199,056,431,521,134,315,707,755,140,864,839,741,474,
037,310,775,111,471,620,702,510,199,352,450,056,440,791,788,209,058,784,955,
644,540,431,499,554,672,673,513,439,937,863,986,161,244,700,153,599,172,588,
711,056,636,905,414,438,377,739,566,879,096,090,509,141,996,847,644,294,494,
034,604,880,233,292,675,556,195,826,629,196,862,682,168,873,293,746,945,167,
335,464,267,511,665,492,417,066,236,760,013,467,007,345,814,973,437,491,451,
569,450,337,811,645,936,877,976,699,459,050,611,766,741,879,405,706,465,211,
554,973,354,586,196,636,569,687,041,389,145,969,149,532,691,391,998,553,454,
822,702,856,217,919,605,610,630,897,358,100,238,468,152,775,113,736,991,522,
682,222,835,769,344,728,933,267,978,815,113,658,698,284,359,477,233,558,183,
728,329,905,457,825,115,659,441,519,362,714,216,008,918,253,982,985,506,080,
772,657,120,788,637,532,215,092,161,551,599,340,810,383,572,321,374,435,213,
268,088,245,165,997,591,219,500,279,137,014,152,676,937,320,870,934,052,655,
215,554,936,943,160,392,443,083,220,076,650,198,314,498,914,258,529,759,642,
224,333,445,669,897,305,391,984,311,606,947,657,440,087,506,664,066,168,995,
747,783,233,060,699,627,360,037,826,682,285,462,315,586,830,688,026,980,000,
301,008,958,304,018,526,745,673,103,146,856,466,805,700,236,008,929,399,299,
883,053,456,579,925,225,780,886,090,841,193,582,679,300,944,019,919,156,775,
335,931,921,799,086,498,340,315,538,708,999,178,705,844,409,180,292,349,597,
092,753,240,810,818,661,581,061,222,765,393,553,075,124,678,788,914,123,058,
083,573,073,519,345,344,289,777,108,664,909,800,118,269,673,697,446,632,437,
877,932,203,091,907,104,458,488,536,919,080,904,922,333,507,436,487,960,336,
663,103,865,151,978,846,179,033,865,558,252,028,682,698,204,871,796,606,180,
155,644,240,950,689,654,104,316,610,023,915,017,033,880,450,735,226,512,630,
923,297,636,228,125,218,095,302,133,400,391,281,322,927,896,814,134,076,217,
832,933,673,811,536,113,955,887,627,754,654,774,109,142,838,260,483,104,868,
249,100,925,288,583,749,152,808,972,688,301,654,306,610,138,253,465,970,149,
437,432,799,273,702,984,106,305,271,457,463,391,113,399,172,508,090,313,819,
968,800,393,800,853,648,377,611,008,415,314,375,377,381,075,396,400,873,160,
627,097,708,845,265,021,767,029,961,703,878,477,714,348,103,961,006,404,309,
669,548,966,139,621,611,609,167,188,753,603,582,319,640,531,512,093,186,891,
209,096,284,585,085,004,849,943,797,313,753,336,978,408,856,613,190,725,205,
820,954,077,647,483,802,448,565,163,201,786,658,174,332,356,703,299,061,494,
428,513,773,421,816,742,947,624,755,513,837,387,462,771,383,688,145,214,585,
070,116,357,674,525,513,522,932,115,420,377,463,520,579,548,800,211,673,623,
202,247,602,744,144,145,069,274,901,581,904,116,385,183,580,865,754,423,256,
166,044,839,401,389,803,252,040,532,066,857,157,056,187,819,371,007,548,839,
971,186,933,282,084,440,414,801,397,830,591,129,477,251,111,376,735,921,507,
066,925,868,590,225,562,741,346,686,403,678,652,713,602,688,915,340,773,920,
281,692,413,828,387,127,936,265,748,439,919,155,413,408,924,217,772,042,026,
029,037,496,545,211,376,349,930,145,197,250,854,818,420,875,607,612,893,866,
092,856,968,546,801,311,609,160,871,486,309,781,172,311,867,875,122,928,840,
142,317,127,100,501,113,543,895,750,528,706,738,772,488,111,376,166,473,796,
053,165,942,291,288,269,199,632,357,341,686,560,577,940,738,616,132,131,219,
484,115,626,468,849,050,606,628,640,492,493,340,679,022,461,414,470,379,058,
051,453,961,077,108,430,338,190,083,346,524,977,957,734,758,010,544,449,596,
929,469,022,652,161,627,942,397,236,316,420,613,129,331,853,502,672,998,814,
953,843,116,310,301,708,485,019,635,732,499,129,241,716,909,563,676,324,198,
220,689,929,643,796,255,493,019,539,599,829,097,099,779,744,451,366,712,189,
125,305,257,349,415,283,070,991,093,226,620,950,150,476,693,689,670,719,235,
473,964,715,436,452,598,293,863,218,731,929,898,649,839,429,521,366,390,174,
837,273,239,004,281,204,731,209,731,163,759,826,649,583,251,549,045,384,459,
455,658,988,908,968,473,018,050,638,937,412,886,819,198,555,870,361,505,577,
638,862,714,081,780,627,798,308,660,913,053,279,982,379,130,493,976,182,889,
729,435,391,372,640,902,124,672,894,472,366,611,741,835,318,227,457,956,365,
075,189,193,937,318,376,447,313,135,437,762,192,956,348,982,847,005,159,399,
861,617,368,130,141,064,024,045,253,031,049,838,831,705,557,432,557,746,682,
072,235,369,191,778,947,875,708,103,973,606,683,674,404,357,810,131,718,667,
816,869,493,354,912,479,994,714,729,814,927,091,648,007,719,749,465,805,279,
455,420,160,792,239,268,242,628,032,449,240,420,186,667,715,722,284,778,908,
642,102,858,132,351,897,137,335,532,349,584,430,686,654,509,609,842,034,259,
541,423,346,377,783,873,905,445,340,328,111,619,125,909,202,355,368,050,880,
059,661,959,543,481,041,468,162,548,869,630,819,554,849,849,171,371,984,406,
161,830,743,836,221,869,997,577,364,606,243,666,339,517,890,969,772,384,287,
126,182,136,590,090,483,317,501,149,550,885,910,908,514,443,794,011,031,623,
033,175,851,839,411,605,992,209,518,393,324,742,692,980,583,359,873,349,763,
395,988,154,346,696,823,535,501,417,657,996,199,934,958,304,531,228,268,363,
166,014,402,481,976,405,170,589,283,054,935,381,164,472,231,992,152,970,996,
132,144,307,491,548,108,795,771,876,108,279,773,184,144,919,993,257,043,665,
405,071,630,201,877,836,964,926,059,496,009,469,345,370,943,397,017,901,278,
374,527,892,361,218,923,958,009,941,567,225,737,051,591,132,615,171,614,893,
434,467,737,898,071,588,833,143,927,921,132,844,206,159,117,706,971,868,732,
881,361,266,487,357,277,526,779,333,374,833,628,317,733,274,373,005,445,956,
330,524,852,207,864,943,011,492,346,281,645,832,792,057,810,441,061,870,325,
922,011,735,052,636,731,454,166,203,061,726,346,465,212,216,037,627,249,992,
684,706,283,138,779,839,014,791,573,564,994,626,213,437,439,563,840,030,707,
243,190,815,990,942,865,947,698,772,810,752,699,723,958,472,506,589,735,287,
591,161,931,512,744,474,495,218,879,366,917,595,703,438,444,303,357,311,987,
478,766,246,813,997,460,812,213,879,499,100,923,255,321,341,198,288,519,687,
413,476,621,029,188,255,504,994,837,727,890,256,552,298,267,424,625,239,467,
865,053,140,421,786,939,361,544,660,589,889,366,715,414,875,698,997,326,638,
223,659,912,022,239,319,351,631,802,833,944,161,357,245,853,044,994,891,512,
837,801,549,395,623,500,599,353,544,510,108,509,132,560,286,134,288,891,798,
558,884,449,887,731,582,157,445,039,307,035,271,716,562,786,668,423,371,171,
858,942,861,278,308,319,323,563,423,931,872,148,818,247,356,925,455,039,753,
661,155,229,223,884,616,473,974,871,563,100,724,562,972,436,781,986,384,154,
620,922,328,477,785,108,430,787,225,651,203,699,339,231,272,637,704,964,324,
818,038,621,015,447,037,584,519,102,050,475,158,990,498,081,824,845,841,123,
740,317,926,853,807,747,686,290,273,636,615,110,663,454,338,615,269,888,073,
321,479,293,013,272,614,836,277,826,076,243,858,093,354,859,106,237,681,522,
100,177,980,017,510,653,567,272,418,635,284,413,498,159,900,824,645,971,305,
460,810,566,687,545,071,756,494,404,791,041,829,334,463,676,452,835,094,515,
113,919,905,485,143,517,106,846,293,850,514,282,567,961,048,532,656,925,702,
926,395,947,558,205,876,979,594,308,709,056,968,360,742,194,618,568,651,869,
045,030,239,373,125,777,402,570,639,892,287,455,483,377,376,709,441,623,975,
819,160,897,052,960,190,601,666,011,246,621,295,869,382,520,272,622,817,270,
801,108,910,452,955,505,526,609,455,403,090,659,408,256,871,874,012,423,762,
252,054,761,790,907,271,421,195,014,429,369,529,447,252,802,118,808,359,940,
770,544,535,410,976,622,839,283,161,953,419,960,743,403,818,565,117,162,440,
226,130,309,564,729,232,903,646,234,944,309,572,692,922,073,854,454,090,764,
988,696,581,345,499,911,934,518,466,112,732,645,039,259,502,675,369,279,944,
620,165,293,205,045,589,230,449,645,604,747,643,673,469,768,979,440,075,129,
838,241,539,301,244,160,815,005,149,882,034,767,578,332,717,101,478,614,986,
814,386,614,329,332,235,847,804,526,559,656,937,155,559,406,633,365,342,453,
506,948,848,394,158,351,170,937,351,680,447,206,557,332,012,252,581,106,824,
590,459,116,777,526,492,410,841,154,484,413,459,470,823,185,090,701,620,328,
945,628,797,534,424,600,397,026,461,668,094,671,861,879,812,097,151,730,526,
841,820,995,463,535,127,447,494,827,308,640,867,628,436,880,106,482,729,612,
027,126,243,849,261,594,831,147,534,809,111,788,454,417,723,351,806,100,256,
721,241,662,272,747,705,656,578,808,440,055,140,608,066,905,086,334,597,496,
923,782,221,984,672,736,530,141,301,692,507,038,237,010,483,519,833,673,564,
542,700,286,121,546,612,088,016,346,070,446,773,092,372,681,941,498,036,547,
954,551,347,216,080,024,254,462,008,523,474,486,717,252,358,011,511,960,846,
842,293,572,721,210,698,104,143,622,687,456,843,329,599,748,499,559,600,938,
844,302,008,965,609,412,588,453,612,046,564,506,273,358,174,178,492,960,432,
904,296,658,321,670,401,931,725,421,230,719,991,018,409,730,924,117,839,517,
457,894,238,319,421,861,058,113,530,937,898,446,730,303,283,964,868,377,816,
836,977,422,433,874,136,448,989,842,613,323,688,001,594,947,455,163,170,787,
744,475,734,464,076,602,151,280,669,296,990,435,971,271,675,614,229,516,001,
230,724,572,317,788,916,094,384,994,233,817,279,236,546,388,000,084,472,748,
283,017,462,257,447,189,680,616,222,848,580,194,243,591,737,059,241,353,981,
026,586,319,571,365,750,389,215,483,374,956,486,838,674,570,995,022,979,846,
263,718,501,162,944,051,265,746,443,874,901,484,954,691,542,126,099,028,882,
036,655,177,635,371,135,199,370,109,702,182,725,249,814,621,779,823,701,662,
248,402,103,496,832,285,731,275,150,962,129,802,230,236,340,619,499,972,480,
031,952,792,763,277,124,897,243,540,234,065,232,686,706,350,317,974,012,726,
283,552,376,642,472,897,797,508,605,867,735,221,926,725,704,485,027,658,125,
409,569,420,779,577,565,004,568,927,135,851,643,231,309,851,040,928,432,599,
350,735,362,313,416,665,654,754,761,132,622,680,785,510,763,266,514,265,005,
620,841,914,811,010,605,084,002,104,158,529,353,797,508,572,370,248,663,389,
410,450,502,102,069,500,303,987,696,041,393,627,984,849,144,150,274,138,153,
419,174,267,548,497,232,446,981,123,504,103,249,837,563,308,509,693,946,890,
814,991,746,143,624,803,669,964,170,338,449,744,603,047,751,451,639,439,943,
462,143,038,543,444,146,088,740,672,383,348,071,002,803,096,681,018,103,421,
260,112,721,458,930,048,432,283,570,066,903,671,982,044,678,159,848,278,276,
424,868,756,377,520,127,678,032,587,136,917,673,684,473,850,850,293,117,260,
858,507,237,939,401,063,391,018,085,518,276,433,827,087,101,799,923,525,665,
871,762,405,842,586,599,904,812,678,010,426,412,898,029,074,483,549,570,818,
652,179,465,997,819,705,961,060,974,057,709,677,324,894,365,917,532,352,222,
921,996,074,857,853,667,253,451,501,456,582,339,506,277,408,890,646,599,898,
887,612,264,462,008,931,647,251,097,118,312,125,578,625,455,735,794,239,800,
334,442,261,039,067,520,988,408,940,486,640,183,271,618,083,675,632,156,142,
321,249,165,516,088,461,722,490,757,800,501,367,437,467,731,569,268,422,803,
735,791,812,351,261,813,057,774,385,745,623,332,365,565,862,355,730,126,565,
327,087,980,946,725,866,302,098,988,637,509,738,601,626,080,437,254,453,797,
355,269,415,026,794,617,749,556,345,419,600,453,612,572,310,474,010,211,751,
967,625,544,252,920,076,465,504,798,601,033,587,397,624,664,224,583,370,275,
361,260,448,532,538,964,568,563,275,690,172,077,210,130,606,149,058,993,579,
943,800,181,750,799,544,709,258,740,799,265,696,635,257,134,230,272,733,522,
436,018,345,261,846,971,944,181,617,648,841,427,168,065,416,085,787,327,712,
028,401,160,597,146,826,309,038,837,808,708,775,520,217,900,054,365,887,469,
860,359,123,833,255,489,565,155,339,423,816,463,408,802,671,493,803,079,495,
940,509,403,552,777,691,556,835,777,288,255,143,064,417,392,508,912,256,707,
708,940,588,400,515,163,896,388,910,036,107,446,942,262,736,605,734,187,263,
813,775,117,298,962,149,015,173,104,295,513,689,780,487,095,624,826,804,612,
921,146,750,512,242,345,345,233,316,170,829,812,833,488,992,790,821,395,085,
812,957,387,572,317,068,812,468,337,288,494,332,708,824,555,799,691,345,955,
535,847,490,081,286,328,139,446,316,632,328,408,405,982,809,361,598,759,388,
257,531,838,947,419,051,961,231,264,442,825,034,495,603,724,926,429,762,359,
721,163,100,011,334,583,976,157,571,778,074,624,799,665,710,700,920,835,204,
184,678,069,415,382,833,677,532,552,641,814,263,486,985,991,386,600,078,008,
846,830,058,830,496,838,416,978,291,039,842,410,786,774,135,615,593,738,786,
023,036,359,068,207,065,165,145,771,189,973,343,294,921,163,071,174,037,167,
181,662,831,790,077,613,151,986,243,990,707,079,097,540,902,008,178,611,682,
676,896,704,476,860,939,692,082,184,295,968,261,691,756,890,250,132,733,266,
451,344,204,988,252,287,154,773,966,567,879,107,621,557,682,138,046,954,287,
582,654,884,398,814,185,903,174,362,048,202,339,645,781,287,787,729,920,595,
609,702,753,115,133,845,368,442,942,592,763,093,289,080,812,257,847,693,800,
529,700,770,667,349,588,611,498,031,659,576,480,470,605,395,811,344,586,290,
228,590,142,569,478,372,410,869,249,590,360,126,393,158,436,450,130,275,952,
039,155,022,311,337,499,535,542,180,901,221,494,098,235,898,829,129,597,409,
543,688,824,249,290,996,158,792,725,322,782,200,666,115,657,425,694,301,677,
724,677,575,301,267,710,960,615,425,064,567,162,414,090,022,350,475,797,181,
079,160,062,244,432,672,143,709,663,632,875,418,602,785,019,992,746,845,385,
481,798,659,850,688,794,108,887,747,200,558,707,690,159,556,295,836,049,201,
716,409,089,098,633,979,781,587,266,736,466,720,480,235,230,652,380,058,235,
966,766,674,682,846,367,801,286,395,524,586,969,821,054,736,646,881,377,622,
501,001,559,751,332,226,814,263,472,474,471,740,872,096,106,022,666,065,733,
191,055,535,755,199,405,212,919,900,693,865,356,157,365,157,450,154,901,721,
437,454,908,297,335,458,063,370,989,292,736,085,578,258,510,958,613,861,010,
094,812,913,182,160,522,466,382,308,742,413,439,130,214,063,576,049,161,041,
962,645,408,920,324,366,774,083,045,666,487,986,685,514,091,772,118,760,848,
512,364,394,249,576,413,302,966,015,990,749,003,847,179,061,047,903,166,028,
682,131,514,826,877,539,142,430,425,995,621,088,685,385,657,405,776,627,082,
208,261,511,642,633,502,206,404,928,827,208,187,290,584,093,831,988,181,220,
574,603,835,223,319,042,380,161,789,472,415,166,045,688,065,661,112,691,306,
092,170,531,188,403,598,147,439,758,399,052,888,034,901,822,464,572,504,115,
535,854,975,202,802,172,406,844,907,429,821,946,950,836,075,223,667,012,719,
684,465,335,179,377,361,132,995,126,753,030,383,586,312,403,213,933,606,240,
475,611,778,703,940,036,864,448,943,606,184,833,379,882,912,636,763,313,846,
746,066,617,263,805,612,216,546,227,519,833,715,388,430,820,619,121,085,461,
214,159,338,213,452,149,733,190,393,451,222,973,803,091,405,692,315,735,714,
277,846,859,181,421,110,669,082,070,345,356,114,670,233,534,989,218,556,180,
156,861,354,455,592,613,913,064,917,287,228,318,392,935,236,973,871,701,282,
644,738,570,055,912,738,833,154,050,478,401,062,560,477,050,920,209,619,028,
464,948,576,609,467,393,973,564,531,663,679,646,144,795,255,745,072,851,560,
304,321,230,242,840,063,006,704,335,991,073,228,211,613,046,246,941,346,101,
308,309,431,912,370,662,742,895,683,172,430,739,609,518,746,278,402,264,349,
731,068,899,148,542,479,784,565,904,281,353,306,711,771,369,439,095,819,761,
728,861,602,081,425,619,216,655,861,891,986,963,521,758,110,242,940,072,754,
265,428,090,586,964,218,517,668,417,465,881,955,502,439,426,928,660,661,920,
839,109,043,468,102,180,318,558,145,990,071,079,004,765,747,569,386,141,036,
655,218,644,958,736,357,484,816,245,344,394,846,041,872,573,590,425,498,407,
852,084,188,955,627,797,194,647,865,504,044,239,104,142,279,436,657,841,228,
319,976,756,902,300,522,344,931,937,126,222,440,675,317,546,269,299,400,772,
021,529,197,560,377,413,143,952,968,006,585,347,237,552,363,405,587,316,001,
217,498,469,395,964,267,829,085,267,571,129,320,939,732,324,963,509,788,611,
995,085,129,342,838,271,162,525,305,265,437,881,007,355,330,778,300,051,154,
567,789,686,841,075,641,196,012,545,094,760,779,986,396,237,657,422,254,213,
049,128,916,907,011,350,122,669,745,529,308,965,181,932,116,416,627,415,751,
810,189,373,457,238,557,276,582,236,304,406,147,763,115,263,778,354,288,964,
652,678,636,604,508,141,219,843,683,378,212,640,924,806,727,377,383,574,531,
971,299,663,843,121,152,676,999,508,493,620,782,891,001,516,835,259,381,829,
424,132,672,052,571,421,678,697,504,433,811,368,231,407,131,284,692,824,828,
989,345,954,820,697,643,510,860,951,146,102,896,824,683,392,574,298,886,320,
093,792,295,284,125,921,713,782,412,603,068,178,523,780,387,471,184,453,030,
900,127,813,459,153,822,988,112,040,820,270,319,895,154,533,640,773,700,647,
082,409,144,252,028,946,774,267,744,379,295,368,673,207,064,761,346,924,384,
321,116,489,778,388,483,231,336,684,566,456,483,976,017,527,535,556,401,239,
236,516,024,229,333,449,268,873,171,253,971,701,206,236,519,885,055,366,193,
655,891,560,483,134,085,122,425,201,192,015,022,413,122,432,484,384,905,389,
979,835,613,430,587,712,796,789,626,932,817,296,900,566,253,793,745,729,170,
811,988,755,046,915,163,994,226,647,242,544,163,742,618,798,120,629,593,697,
705,136,243,742,728,800,789,054,696,172,236,219,582,139,109,536,903,583,353,
221,360,950,110,952,713,173,004,076,383,527,863,479,199,250,576,142,310,005,
765,424,375,459,002,599,606,148,797,124,865,412,809,200,737,860,429,815,904,
748,113,186,584,617,113,825,399,093,104,546,452,570,244,982,675,168,855,577,
051,636,015,849,378,547,725,938,050,732,039,689,976,013,872,239,955,371,446,
025,890,656,808,369,007,697,312,787,698,251,669,215,575,135,244,395,009,014,
082,009,641,043,683,182,886,228,170,129,554,652,288,828,374,472,400,543,885,
601,002,100,922,289,582,238,417,966,408,751,025,542,852,210,010,201,990,833,
923,614,218,476,902,046,126,905,324,099,296,622,241,788,185,201,485,659,965,
959,045,328,118,129,989,806,462,877,778,215,102,754,684,279,855,427,992,239,
442,200,539,839,204,051,554,237,306,061,834,260,461,298,763,088,578,803,071,
615,631,876,273,101,883,433,657,195,270,839,368,498,717,006,703,016,077,431,
945,959,044,662,925,720,885,982,771,172,566,689,393,209,184,510,590,340,963,
522,889,392,187,181,465,087,622,272,103,059,376,868,309,081,089,591,270,385,
067,847,318,244,698,974,740,236,704,483,752,619,423,794,047,526,003,963,839,
712,168,798,320,703,475,590,104,289,300,290,944,560,561,620,885,201,523,060,
084,664,131,162,549,194,553,028,915,347,117,474,713,211,475,687,615,128,536,
663,018,912,625,550,624,756,349,385,873,038,417,950,314,755,150,967,222,097,
625,122,086,323,774,949,048,785,178,051,095,355,356,411,350,966,373,092,561,
988,795,802,270,881,877,225,460,822,271,279,426,951,800,041,926,584,729,602,
756,424,675,518,556,396,870,160,386,141,872,751,836,959,790,303,524,877,512,
692,628,544,528,048,929,870,678,413,657,117,564,944,498,411,179,134,076,713,
224,068,769,719,242,053,190,999,517,777,771,599,816,267,260,048,776,110,350,
044,001,988,083,623,479,431,905,700,237,884,140,696,751,564,343,744,455,054,
761,949,459,437,326,146,105,730,023,008,193,107,750,225,293,792,907,925,952,
090,536,425,771,540,808,371,656,695,385,771,620,071,562,468,807,271,842,856,
419,962,719,951,412,269,620,224,223,857,972,572,899,415,362,556,495,796,239,
044,511,083,433,151,856,330,197,676,898,618,761,915,589,817,836,189,538,882,
219,041,561,729,545,202,460,937,768,831,367,509,680,891,846,093,024,104,194,
952,025,046,981,089,800,473,187,467,151,376,996,974,171,688,153,524,304,846,
601,506,825,500,934,408,652,002,749,524,244,085,039,446,192,535,036,796,456,
316,207,776,499,752,579,185,215,447,962,931,583,789,402,297,070,149,692,931,
309,454,986,695,011,361,588,053,233,797,826,015,618,685,446,723,676,492,201,
807,260,468,312,709,466,055,093,646,268,762,989,999,948,423,637,476,100,057,
051,717,799,568,490,795,211,802,133,670,891,914,003,759,559,902,379,482,072,
377,466,630,342,951,070,026,016,255,538,544,988,428,020,048,366,664,142,681,
028,865,754,740,317,078,363,188,209,870,349,645,048,328,581,800,463,121,405,
795,459,975,240,885,696,579,473,904,611,962,819,424,592,597,851,630,128,169,
374,630,181,124,975,451,455,742,201,828,811,094,031,189,136,123,343,013,189,
867,020,105,908,916,821,306,069,572,367,483,149,821,924,447,740,980,929,634,
551,909,650,196,569,696,199,914,060,119,517,031,425,571,919,859,955,022,016,
182,758,006,659,156,557,869,487,765,432,920,111,202,419,660,938,798,069,002,
236,605,052,971,538,358,351,371,459,512,556,018,396,806,092,253,429,711,770,
339,491,623,018,218,506,700,845,394,968,830,982,688,544,273,462,960,364,221,
878,555,781,315,214,008,219,367,320,197,711,550,758,906,688,896,662,992,956,
620,898,398,753,097,655,252,692,452,610,731,997,763,982,038,750,987,953,015,
033,031,189,017,336,436,814,313,335,481,683,615,221,676,580,612,440,792,795,
276,011,316,951,087,006,572,965,629,051,456,741,819,605,501,184,003,740,231,
367,369,503,128,818,657,640,165,292,859,018,174,535,934,881,492,551,342,386,
247,120,322,144,127,911,520,597,364,105,313,707,484,252,590,413,867,065,687,
962,482,156,253,473,888,915,182,686,512,159,811,559,982,919,551,906,803,824,
850,221,256,495,019,260,357,274,995,807,155,922,880,726,905,922,499,549,998,
181,359,297,953,962,626,769,782,177,675,111,994,225,260,217,516,655,440,593,
324,453,401,596,704,364,400,241,265,468,477,925,989,084,548,637,961,210,664,
066,053,884,944,860,854,261,572,076,239,142,808,387,538,373,111,388,491,806,
610,449,080,039,515,154,676,420,734,980,024,316,297,061,740,014,416,773,283,
256,653,128,007,988,783,978,510,322,271,747,873,796,224,027,826,495,176,230,
322,076,778,863,906,306,008,046,962,488,946,697,051,972,964,860,447,073,943,
634,217,573,975,583,241,337,154,365,556,751,745,399,987,706,462,519,715,835,
322,269,139,009,652,180,600,366,154,422,275,418,138,772,785,731,112,337,949,
610,596,376,706,420,476,470,655,627,349,063,283,861,784,100,182,023,891,858,
131,541,386,725,351,902,002,894,503,657,915,976,313,645,166,304,112,351,177,
998,364,058,879,047,567,526,278,302,122,999,027,055,477,593,365,847,084,299,
003,799,902,056,958,939,206,447,557,225,597,409,256,966,520,602,558,237,781,
267,396,381,442,269,041,169,939,465,093,293,519,995,553,635,431,379,046,184,
549,982,932,657,535,013,867,376,324,796,014,237,882,017,190,490,655,438,311,
442,602,420,528,632,844,949,263,234,348,347,963,250,369,309,132,049,524,179,
837,926,329,096,961,727,007,552,235,308,701,641,639,830,519,055,704,534,175,
616,244,924,528,137,119,108,182,111,316,405,539,134,031,212,481,767,590,316,
281,535,526,925,196,054,001,933,958,991,549,519,142,226,147,833,158,405,885,
113,761,746,019,030,827,927,162,613,802,644,437,932,448,381,024,634,511,662,
166,672,815,955,899,768,547,169,698,587,828,459,501,336,165,428,025,420,595,
137,989,401,689,996,926,615,319,228,177,596,665,952,242,394,475,693,380,097,
385,509,182,614,560,052,871,373,695,239,155,089,177,065,421,940,127,925,865,
809,136,478,655,507,400,799,482,097,294,343,948,316,820,947,537,447,207,274,
818,296,601,075,013,920,821,663,236,940,693,901,144,639,541,897,201,383,907,
459,781,804,416,677,320,722,822,966,935,043,862,007,621,594,754,275,214,310,
210,319,211,290,049,394,314,428,861,172,105,259,409,333,015,322,791,551,682,
089,062,352,352,671,839,659,755,480,101,317,199,581,253,936,859,005,779,236,
255,109,294,555,464,082,834,958,755,341,511,519,617,739,297,494,606,640,190,
787,929,347,519,022,806,906,913,270,605,659,555,892,093,381,206,429,959,388,
531,787,815,844,679,369,562,138,501,028,376,534,612,717,181,644,804,779,965,
565,153,436,166,429,480,314,576,866,559,616,146,282,202,882,220,207,982,052,
598,658,804,906,720,195,724,023,662,468,955,070,239,084,106,327,879,009,163,
218,086,107,645,245,656,604,487,470,018,313,116,882,072,105,879,186,832,672,
220,323,579,406,487,739,278,152,402,801,398,507,383,951,702,576,188,927,146,
755,356,617,965,903,633,454,844,725,976,069,776,815,638,938,398,401,911,783,
996,673,375,660,004,900,466,504,481,833,730,814,307,955,492,814,605,093,430,
594,438,211,830,099,282,182,577,382,591,953,638,508,827,627,238,174,553,316,
833,956,073,464,323,047,829,683,899,529,384,287,545,657,678,074,931,329,292,
598,285,938,434,467,763,430,762,538,803,247,155,671,265,047,578,182,707,045,
829,639,004,570,701,437,423,886,570,300,652,962,561,235,564,032,446,580,966,
431,800,655,219,685,334,988,857,490,652,923,252,470,240,544,411,687,635,488,
960,590,078,623,918,239,792,310,903,508,660,827,236,039,522,876,555,055,143,
277,219,530,973,588,480,771,832,051,951,037,041,100,333,616,571,847,046,604,
787,513,566,238,756,645,191,144,899,400,237,005,935,137,774,933,587,578,689,
358,522,833,042,585,535,275,435,579,742,025,484,841,810,260,961,063,102,325,
325,805,890,601,403,604,004,716,276,356,181,709,276,493,466,790,290,883,777,
695,624,562,484,458,305,848,363,474,104,741,129,529,054,715,546,398,130,229,
039,933,766,878,189,856,827,985,258,894,263,586,214,461,846,693,579,032,127,
049,092,060,667,842,548,870,832,097,861,526,388,500,785,184,186,019,264,394,
692,437,452,206,085,423,643,645,276,581,842,600,357,648,232,389,581,824,960,
295,532,836,436,656,733,611,361,495,259,618,901,055,848,429,408,114,503,297,
953,186,161,832,712,739,520,274,232,083,358,359,968,442,634,503,174,588,055,
509,544,304,584,734,988,557,119,873,579,486,510,975,812,199,249,604,187,876,
090,328,322,047,043,465,589,733,312,757,945,957,592,809,217,355,982,837,535,
331,658,095,737,989,613,514,700,453,180,440,151,126,335,356,036,736,332,986,
996,830,066,036,149,156,978,234,354,112,423,979,452,607,111,500,634,090,455,
901,893,954,422,127,462,589,410,906,462,622,918,376,762,047,109,796,205,588,
925,501,143,703,417,566,616,152,034,011,928,363,835,425,135,970,693,665,053,
260,967,096,803,021,477,776,972,780,965,743,195,818,720,360,868,629,855,319,
371,584,453,169,225,614,029,213,071,531,688,680,307,190,797,462,255,802,956,
166,593,386,770,552,267,323,082,773,099,985,410,776,066,870,059,751,302,300,
754,781,404,974,692,043,957,029,101,576,926,686,762,110,329,420,201,238,393,
720,841,228,189,826,010,094,151,295,436,712,734,746,907,977,773,674,665,846,
196,836,712,903,087,566,224,242,198,287,443,337,334,508,502,473,350,451,927,
626,803,647,281,873,958,837,760,653,666,954,700,937,030,664,173,682,436,547,
977,958,039,629,819,907,488,288,612,444,732,083,387,262,566,705,396,205,199,
373,700,430,148,756,037,955,092,745,969,979,771,939,558,905,865,422,295,974,
372,947,360,873,572,637,294,501,181,400,513,449,508,821,101,029,828,938,116,
034,874,385,402,261,744,723,338,824,311,504,687,163,752,514,476,873,655,251,
287,729,443,125,781,296,532,777,843,952,674,007,042,099,298,669,870,378,199,
288,807,155,253,742,904,169,369,581,209,932,497,219,771,748,377,087,004,226,
082,193,602,459,220,725,372,975,476,763,713,367,816,433,058,133,300,707,369,
844,305,086,414,882,178,305,831,271,725,514,994,394,140,016,181,797,254,372,
550,178,132,144,359,470,993,537,426,943,646,362,768,362,054,965,485,854,187,
914,856,645,344,796,468,543,028,157,766,601,283,681,754,702,344,691,412,853,
749,438,820,484,304,647,553,900,174,370,928,008,507,099,610,523,478,624,187,
206,146,100,553,484,024,829,222,811,015,705,774,988,675,489,199,669,592,633,
885,504,612,483,379,130,656,329,515,088,462,566,503,766,317,418,137,859,946,
798,572,240,543,711,623,428,147,130,838,143,548,339,911,877,775,345,285,264,
287,592,386,775,108,928,156,659,285,732,588,914,699,298,286,718,094,377,461,
388,383,545,478,492,084,818,618,647,889,976,256,438,002,810,866,555,535,065,
322,848,780,898,172,822,084,304,585,159,166,005,020,018,608,279,337,453,886,
330,314,471,537,557,532,426,797,831,048,168,373,965,556,904,073,230,434,417,
963,658,688,670,389,421,695,325,032,482,939,597,601,575,071,595,137,535,202,
959,085,929,687,470,621,704,091,292,967,333,549,805,199,251,018,773,435,259,
041,524,591,274,208,413,488,250,738,596,863,435,661,751,999,800,890,072,451,
685,738,802,749,272,245,919,467,429,794,212,924,180,171,876,162,350,346,733,
826,709,239,394,997,604,127,054,730,604,091,102,322,974,731,345,276,050,307,
443,199,356,101,402,142,223,460,771,493,247,777,861,833,619,600,320,544,990,
483,792,767,733,946,772,076,231,040,775,884,553,481,535,110,160,758,581,229,
324,139,177,855,328,322,906,933,808,997,387,497,325,711,819,606,408,993,545,
041,075,653,555,158,046,638,581,861,729,692,159,677,555,429,544,800,232,421,
287,892,514,538,721,717,189,166,762,318,719,529,362,661,540,710,104,207,343,
271,017,076,982,838,781,081,478,348,628,999,186,626,152,093,590,509,946,462,
265,350,764,281,373,930,954,185,792,442,358,896,710,050,499,480,328,520,047,
560,106,528,891,377,193,410,770,081,323,668,988,439,239,302,682,298,186,591,
688,233,836,032,603,274,335,297,284,295,916,522,420,511,314,601,379,556,962,
191,232,848,497,146,861,422,169,856,710,518,841,808,807,707,077,896,380,003,
111,352,266,710,514,921,844,833,385,343,425,380,735,155,770,651,800,938,623,
510,972,300,699,515,111,388,739,692,723,526,086,566,155,345,295,839,725,410,
905,794,943,890,979,967,748,867,816,332,405,226,593,288,870,072,517,143,323,
693,158,662,104,121,390,129,514,831,837,975,820,581,210,556,244,441,580,254,
710,963,765,440,313,815,699,778,828,454,903,994,927,668,098,559,266,659,851,
366,537,297,422,304,296,018,101,929,392,416,729,182,783,582,911,025,411,308,
675,431,292,666,623,533,741,194,307,211,968,452,710,008,831,348,105,510,177,
491,398,765,543,539,399,490,042,444,367,650,003,716,770,572,270,213,315,815,
341,114,201,940,709,605,169,806,639,897,881,248,623,475,747,969,714,988,851,
245,804,575,326,069,645,106,548,067,167,556,779,519,737,829,114,830,768,471,
606,564,134,940,779,965,790,325,668,037,051,355,901,052,231,868,679,188,383,
090,498,661,740,932,598,354,440,905,665,786,270,191,925,017,453,918,806,868,
679,124,466,662,055,191,919,601,487,121,084,026,786,231,642,079,248,619,494,
027,793,520,947,623,766,638,629,661,947,820,578,134,952,834,580,066,047,476,
257,486,526,021,393,862,536,734,759,955,946,339,987,329,359,631,198,857,321,
334,030,813,607,025,139,353,625,902,449,797,281,042,921,725,592,966,497,335,
899,525,117,475,804,538,537,808,534,151,348,368,789,057,124,156,499,823,640,
262,291,718,362,515,809,142,588,717,530,378,688,331,586,044,588,938,723,731,
782,663,612,688,266,746,149,708,838,522,066,963,007,390,254,761,650,091,063,
011,467,736,017,145,106,032,722,137,537,361,572,926,842,026,305,933,996,937,
027,336,905,039,846,831,102,651,079,459,403,611,022,469,749,588,719,349,161,
940,592,551,807,591,274,195,925,428,544,260,118,737,018,731,983,215,530,809,
904,933,082,488,875,879,008,234,149,826,561,882,625,242,469,272,919,839,421,
052,620,321,750,533,269,471,398,772,845,030,637,212,752,296,235,583,815,909,
436,029,434,294,383,248,286,673,571,252,975,647,364,615,131,389,730,360,204,
992,256,752,043,772,293,177,259,917,305,384,841,013,605,983,272,723,805,818,
161,257,932,191,935,245,480,159,169,973,972,372,230,332,202,402,988,613,588,
889,090,636,394,077,411,956,926,860,219,569,900,062,637,305,454,444,304,087,
550,683,804,707,398,339,292,353,444,631,680,045,619,735,228,101,848,809,333,
459,763,453,148,171,080,461,084,174,563,776,560,183,223,643,536,188,287,384,
287,320,629,972,227,667,782,079,696,054,585,417,853,677,800,156,525,701,780,
097,758,634,623,543,336,058,705,116,142,335,986,154,252,638,728,624,393,903,
956,240,524,892,166,944,820,999,240,864,419,028,817,374,168,244,537,924,927,
132,814,833,661,371,613,790,857,142,722,458,958,603,233,037,241,785,042,466,
623,828,486,967,580,691,265,396,251,825,507,509,332,147,681,994,869,818,743,
922,914,139,889,742,864,783,042,492,825,727,101,233,383,892,565,663,940,145,
533,444,327,688,493,951,361,757,889,564,662,822,040,634,257,639,797,661,478,
035,968,925,287,820,039,530,334,226,721,123,822,843,597,822,747,214,532,092,
264,735,856,029,005,164,955,259,804,529,545,947,315,278,779,903,113,284,674,
636,821,352,832,137,980,761,737,567,853,470,583,943,299,030,618,413,183,937,
467,689,935,727,330,745,792,670,987,634,097,645,550,111,145,752,348,281,954,
577,066,538,153,695,957,802,002,834,254,609,589,845,718,575,281,429,514,096,
479,571,678,581,035,014,258,097,417,247,193,956,980,559,889,560,024,203,319,
410,765,130,837,507,291,073,001,786,231,087,978,706,283,700,486,467,202,143,
801,329,836,367,035,162,306,948,188,433,290,361,008,460,510,774,424,358,824,
386,652,918,313,605,194,734,542,628,680,303,306,896,365,397,962,284,319,065,
030,201,990,682,005,640,723,252,767,857,402,630,267,508,174,217,971,075,594,
983,166,197,829,771,818,417,144,055,201,948,296,677,578,155,600,350,061,511,
125,667,862,524,478,219,584,695,816,827,237,480,521,513,317,216,713,134,324,
211,416,656,436,859,898,792,969,632,949,389,532,695,233,544,677,989,008,774,
635,866,257,741,265,583,006,047,854,517,069,911,701,939,495,680,138,056,187,
032,128,729,333,460,172,923,373,265,007,679,446,199,788,068,005,505,737,037,
470,368,649,901,910,287,659,087,603,602,438,943,018,634,919,960,607,336,369,
769,229,689,404,221,686,818,329,646,953,220,109,970,484,539,526,488,331,868,
797,824,979,423,896,502,122,224,007,711,716,015,740,153,020,099,886,526,947,
131,529,579,267,131,848,883,346,695,918,468,602,640,420,247,476,900,185,311,
521,685,302,791,728,182,898,168,980,568,118,492,228,765,436,109,202,946,999,
843,128,829,802,003,971,030,444,565,396,334,644,878,925,463,272,868,530,759,
892,748,155,964,850,173,906,938,130,515,251,755,829,342,618,130,826,783,350,
302,417,290,571,275,425,390,422,278,508,758,714,083,786,277,017,280,865,320,
324,640,461,240,483,525,187,937,165,744,540,056,937,611,431,490,372,460,184,
365,663,650,810,749,576,678,935,654,594,633,723,449,890,786,346,493,158,311,
093,195,775,477,626,713,281,144,405,836,618,582,261,888,083,167,268,899,614,
845,192,622,910,317,933,794,699,262,986,072,284,857,893,449,945,629,164,111,
911,933,949,081,031,908,426,257,374,135,344,106,107,742,642,380,603,640,799,
942,747,716,891,089,136,789,406,309,978,701,915,404,898,229,947,060,228,977,
473,487,714,342,823,418,853,720,611,589,294,760,474,784,132,336,452,089,250,
206,100,338,422,087,190,108,053,072,237,614,047,974,758,917,935,061,387,524,
699,681,243,439,013,338,412,398,081,294,061,969,930,416,530,643,681,488,510,
208,960,038,502,127,230,102,442,570,833,093,128,610,927,991,882,590,435,397,
746,759,433,129,488,159,035,526,311,918,792,811,967,912,938,287,341,753,720,
381,215,748,544,537,959,442,566,694,644,421,511,361,240,379,707,242,918,768,
749,741,040,647,191,419,595,163,013,666,863,812,787,800,967,255,018,295,960,
428,321,846,676,695,048,712,744,644,896,716,056,883,897,226,671,666,780,864,
147,749,774,458,168,301,380,827,277,331,794,857,421,771,704,815,346,594,287,
942,782,910,909,749,770,939,413,380,242,561,210,217,015,962,820,001,669,552,
234,111,584,485,919,110,204,597,992,042,156,293,609,661,162,199,992,843,359,
473,633,390,887,197,365,497,501,558,608,937,995,676,863,398,903,160,736,338,
328,801,266,290,535,357,129,510,031,238,456,927,898,934,052,403,180,815,114,
538,588,081,885,145,823,036,331,422,085,912,199,410,564,834,932,458,453,384,
081,616,583,623,641,429,542,964,403,022,930,474,003,215,648,666,956,256,300,
147,657,607,087,541,070,299,396,495,980,280,158,280,782,445,636,920,792,175,
120,386,336,588,590,051,606,088,194,280,434,820,612,464,484,333,286,381,979,
441,728,669,364,666,884,186,875,025,069,293,899,847,342,643,955,834,215,682,
962,032,892,710,513,052,297,195,385,771,655,491,504,054,399,561,140,735,664,
050,239,326,886,567,073,904,169,404,433,566,294,006,877,846,932,349,665,645,
665,502,855,848,786,871,714,922,368,293,789,297,298,590,484,761,605,686,882,
264,229,689,620,065,722,273,149,582,408,574,470,670,196,335,157,548,867,441,
381,952,236,877,907,843,382,600,005,014,345,988,056,501,727,592,641,022,730,
415,409,188,844,113,636,742,487,546,737,336,525,294,110,010,444,600,274,692,
207,986,545,791,908,192,228,742,655,138,383,773,086,054,460,048,483,523,034,
590,566,671,381,781,865,432,148,528,444,128,422,374,391,403,349,265,030,137,
650,009,028,237,289,059,700,190,647,392,267,250,033,433,240,219,089,525,678,
306,387,844,501,649,095,507,566,469,274,442,770,889,981,048,552,235,827,900,
795,408,574,664,460,925,639,900,469,474,156,097,409,068,863,750,233,177,275,
688,335,199,422,353,953,349,692,535,214,915,449,101,336,084,925,461,234,508,
657,329,488,736,465,665,850,413,382,164,629,557,619,324,634,847,182,489,993,
490,989,692,549,104,090,883,238,673,071,618,472,279,050,635,858,869,505,843,
541,463,850,966,593,623,511,193,483,721,855,359,521,789,175,028,378,827,608,
175,878,726,586,212,136,489,162,485,269,846,543,370,935,929,018,589,935,389,
050,176,690,928,321,264,885,595,095,266,377,851,375,450,781,813,407,171,648,
377,141,190,104,590,266,750,458,456,563,650,724,627,838,013,857,332,616,631,
789,575,221,468,476,364,328,737,481,755,376,853,048,635,073,960,629,356,663,
607,311,023,805,512,931,109,475,422,094,979,334,956,470,349,564,060,840,451,
131,871,159,756,231,734,855,317,523,812,262,112,457,378,104,914,176,719,751,
969,881,862,334,585,149,274,688,206,754,875,893,841,152,988,914,856,816,037,
043,337,697,269,611,980,855,233,854,650,595,507,803,482,065,085,762,691,967,
437,530,326,674,956,367,126,681,565,547,511,858,052,285,719,351,763,188,516,
136,048,000,616,319,129,336,601,012,067,788,051,857,962,472,157,387,479,028,
877,534,330,695,048,929,056,442,335,475,081,842,812,407,616,208,968,170,866,
044,326,680,505,249,065,681,635,001,887,393,661,663,868,840,042,798,601,067,
529,467,684,672,736,370,051,128,858,490,366,400,106,935,991,593,750,808,479,
459,901,028,791,506,778,452,641,909,973,996,829,966,856,588,025,091,396,753,
363,734,561,388,076,220,174,484,272,855,762,823,891,065,043,649,283,091,351,
720,926,764,581,119,920,839,293,277,457,296,336,992,520,455,937,282,406,045,
087,413,271,802,408,626,949,141,578,029,284,982,635,317,087,080,688,844,651,
802,399,865,333,955,314,496,064,847,169,152,536,120,098,460,342,088,525,202,
417,465,571,089,857,054,941,023,088,047,419,341,133,331,405,047,979,619,404,
289,882,582,508,689,187,380,480,003,295,489,803,006,327,286,299,831,548,388,
962,854,267,415,661,731,893,289,408,846,442,242,705,842,291,771,051,475,712,
961,381,668,640,446,425,124,103,245,342,465,202,572,152,935,328,678,776,255,
932,588,455,393,830,243,200,168,383,974,998,082,856,842,853,802,117,255,722,
511,033,998,002,217,662,513,485,129,866,735,109,656,330,822,535,386,324,574,
379,744,946,291,458,079,712,486,319,550,478,839,082,757,249,015,702,515,415,
206,198,614,480,557,370,977,783,352,679,758,595,606,670,986,395,327,927,713,
224,678,813,201,112,051,852,126,450,864,312,574,097,306,320,735,046,344,469,
428,062,672,330,941,784,596,695,360,074,754,060,273,535,521,908,698,752,641,
931,839,180,516,458,409,198,321,836,938,823,137,190,105,876,859,068,118,933,
555,922,113,120,772,040,044,529,101,967,104,118,642,983,953,650,853,340,105,
184,609,780,269,512,602,339,785,602,341,872,137,982,921,938,377,619,526,018,
558,234,052,745,837,237,892,453,787,406,775,188,412,306,791,082,203,855,472,
118,258,561,911,900,040,270,731,120,999,013,980,636,033,515,274,326,343,962,
143,717,323,891,908,189,327,507,250,316,463,020,215,900,181,558,921,239,286,
414,951,690,487,737,368,961,104,013,560,302,122,814,838,964,688,631,991,525,
947,034,431,648,419,645,561,709,328,264,652,131,132,107,210,933,761,404,232,
894,638,649,507,661,094,996,900,198,385,487,468,537,431,726,178,905,356,467,
939,630,802,329,489,035,998,991,854,307,737,920,459,902,598,103,988,787,872,
657,878,442,404,819,607,930,342,443,357,557,076,108,886,977,848,064,271,535,
947,162,251,699,139,931,495,526,371,566,749,171,972,221,866,295,598,339,077,
912,719,476,795,075,140,458,800,688,176,129,855,390,490,434,631,004,994,497,
675,879,832,260,944,238,786,800,601,288,923,297,989,812,814,520,045,154,844,
008,927,120,093,787,081,239,014,413,052,583,823,050,647,126,073,047,905,860,
994,607,030,361,394,905,537,969,168,577,633,702,092,450,295,076,208,419,640,
257,933,335,573,114,785,057,997,291,709,465,576,991,932,548,254,096,289,679,
271,030,034,039,925,546,214,076,754,412,591,696,640,374,484,897,764,539,520,
144,047,930,356,272,195,138,323,682,446,919,455,309,552,824,012,280,267,322,
574,750,377,524,527,153,258,376,053,917,369,380,941,126,628,885,389,407,121,
588,600,587,829,298,776,695,296,268,700,280,937,772,408,087,249,797,722,800,
091,204,797,799,793,380,323,884,236,645,039,843,674,449,920,131,790,404,638,
287,931,103,160,862,800,632,188,383,268,569,984,370,109,486,498,449,004,252,
986,357,534,495,432,286,109,134,879,238,447,933,895,557,561,114,765,478,071,
869,100,393,444,882,554,726,556,020,449,081,256,493,502,674,481,921,444,974,
539,087,108,833,890,110,358,311,831,097,449,080,772,488,354,206,518,246,642,
666,854,033,750,087,843,033,570,177,391,245,675,496,866,214,718,641,781,038,
762,435,984,210,837,141,621,572,337,210,517,651,051,878,825,930,413,315,423,
370,488,552,227,055,306,236,428,157,491,454,138,434,709,407,743,471,128,489,
724,508,096,637,677,937,129,592,762,881,042,171,120,798,318,229,286,493,058,
861,598,690,092,620,479,214,553,497,818,777,231,556,773,484,323,583,535,140,
272,946,882,817,570,233,911,719,096,381,015,445,300,837,685,873,929,419,140,
700,878,358,719,384,585,999,226,010,911,407,671,939,625,376,432,079,535,960,
508,469,283,616,419,010,820,691,591,135,539,663,923,812,235,145,424,138,883,
214,985,332,812,637,988,350,932,871,842,558,462,865,040,639,925,125,460,662,
838,848,122,309,762,653,963,483,791,259,123,239,182,935,502,646,006,642,717,
436,271,004,832,738,170,971,820,294,646,776,744,965,285,710,803,662,289,426,
092,392,748,002,149,818,734,083,830,875,190,383,558,515,895,143,469,555,520,
362,314,807,780,173,134,296,956,701,827,862,191,034,694,134,841,791,386,209,
370,467,806,316,167,813,325,659,013,696,842,474,547,780,414,539,240,495,062,
757,411,776,284,061,081,039,416,885,369,088,805,048,243,707,407,167,079,964,
205,484,583,731,128,401,553,330,470,321,994,427,491,523,485,431,921,997,284,
343,573,845,083,391,814,326,195,650,858,915,015,810,618,996,672,756,591,533,
219,704,908,432,224,018,842,674,438,904,319,183,754,974,869,286,540,155,858,
533,673,585,876,848,688,856,470,401,571,158,786,125,035,642,340,291,701,058,
839,392,615,124,335,660,952,618,350,560,695,829,777,513,393,887,246,045,734,
179,459,848,255,030,117,042,572,038,742,699,820,278,625,209,079,031,084,337,
156,857,371,845,138,845,918,908,574,064,416,625,987,644,415,536,748,610,016,
016,128,753,399,625,920,127,696,073,727,285,983,261,919,707,119,384,025,864,
204,025,905,279,861,081,484,308,402,516,589,732,016,848,256,301,613,644,551,
678,033,746,280,057,694,475,444,194,475,612,374,794,062,424,881,994,116,070,
609,532,158,097,129,647,814,973,272,653,230,493,491,125,537,573,651,482,985,
545,240,208,457,849,091,231,425,984,885,853,389,703,608,725,699,639,159,202,
839,274,259,616,649,544,714,961,056,241,703,877,850,577,346,660,310,656,115,
192,387,454,527,703,546,514,857,034,537,072,635,075,078,424,795,197,651,632,
850,494,220,602,259,333,415,838,121,315,218,202,425,814,567,575,287,675,191,
534,108,158,168,878,758,465,678,156,940,933,412,219,401,519,553,463,810,363,
816,096,395,749,924,082,565,717,826,390,774,837,729,830,767,764,144,438,536,
013,712,200,524,885,906,078,351,321,115,921,176,482,446,895,055,554,397,193,
725,330,582,081,273,110,575,138,706,331,461,382,198,958,348,786,669,347,015,
073,966,121,648,672,067,103,263,653,074,806,323,835,539,733,569,595,232,898,
195,936,673,190,685,391,697,899,979,460,327,082,623,640,252,940,800,625,899,
738,865,187,260,817,664,167,135,020,529,807,225,095,790,126,880,203,576,710,
384,683,602,117,621,279,958,549,726,520,495,100,852,927,276,483,874,824,507,
863,621,554,782,768,937,200,169,973,302,124,571,851,039,306,167,220,769,298,
679,861,741,072,796,511,062,224,332,231,880,965,233,943,208,140,658,639,941,
893,819,047,279,031,495,136,899,840,667,952,597,755,976,671,508,214,336,616,
974,603,693,001,961,089,265,797,358,871,052,796,943,104,815,779,815,003,057,
673,097,471,966,974,903,463,878,032,041,416,347,903,477,863,543,858,858,642,
669,332,698,412,998,767,908,735,634,335,437,543,693,065,078,877,865,566,608,
333,736,680,750,129,020,862,588,632,917,951,671,346,006,953,569,681,114,609,
186,104,575,794,351,649,911,584,991,304,784,202,428,255,641,280,846,086,258,
401,073,570,414,922,574,328,200,415,013,418,694,376,331,215,067,420,006,060,
583,828,325,693,900,608,627,383,073,072,857,106,673,060,084,732,875,159,940,
889,259,396,640,085,242,723,205,071,959,257,039,139,695,314,319,931,724,493,
132,533,320,027,385,950,407,386,918,998,174,669,192,734,271,381,028,085,763,
527,263,739,959,227,492,728,212,531,119,919,376,286,162,875,382,507,943,204,
946,053,532,199,901,450,577,796,639,942,184,523,149,027,228,389,453,997,444,
785,522,531,711,926,344,028,117,524,394,763,624,575,725,808,207,963,758,975,
318,605,381,845,816,959,813,161,267,949,008,064,374,216,541,209,568,160,161,
609,631,276,776,789,522,976,711,327,386,386,844,794,223,828,780,014,246,802,
668,794,970,718,689,791,967,007,295,180,056,441,366,441,116,354,225,983,711,
557,186,329,539,956,308,626,057,104,013,735,582,768,367,239,556,847,988,260,
385,285,964,110,100,982,281,408,388,062,399,081,175,518,437,085,972,064,213,
671,700,695,516,326,280,300,663,607,638,406,742,997,102,930,114,484,761,975,
198,831,222,438,757,419,470,188,550,776,950,412,396,065,640,983,777,542,355,
133,688,709,543,377,285,498,014,592,602,927,762,134,428,121,107,946,289,223,
429,185,816,524,885,244,066,523,969,710,582,945,657,033,992,967,730,779,908,
725,609,718,949,162,390,255,536,182,711,796,340,579,530,404,154,771,975,079,
159,072,379,360,204,950,455,059,094,005,736,979,841,887,467,539,151,452,250,
633,701,899,523,878,077,587,086,621,511,179,122,194,567,047,636,729,964,927,
695,553,417,537,295,161,084,480,752,615,893,252,528,975,460,878,453,860,958,
870,271,655,777,930,412,940,686,903,862,729,692,617,871,816,838,436,436,071,
564,021,529,931,571,136,761,824,874,178,167,672,058,358,515,330,155,106,454,
750,627,748,873,701,773,722,661,533,689,746,917,514,410,773,891,632,083,397,
775,501,528,222,320,753,469,726,310,019,011,083,084,139,820,849,947,562,560,
515,849,626,520,110,272,017,940,969,042,593,511,886,172,160,876,024,309,153,
767,279,443,840,911,583,807,702,238,231,581,070,844,678,609,722,370,190,021,
850,167,276,910,842,985,260,885,993,472,483,305,284,180,905,784,191,869,826,
934,663,765,280,359,991,687,421,589,626,988,159,333,250,046,690,240,495,534,
387,376,610,752,659,535,602,359,643,804,840,029,049,336,011,667,544,162,971,
119,905,662,521,431,391,608,028,944,369,173,795,074,266,049,052,670,053,221,
171,388,637,778,402,893,852,325,757,483,534,104,816,708,497,553,635,361,674,
121,427,732,974,340,863,136,450,867,067,858,225,959,758,210,185,021,787,938,
497,745,470,239,568,706,836,596,127,902,143,298,257,307,312,827,195,792,763,
818,528,691,803,194,949,281,235,379,299,366,257,584,547,850,081,478,867,621,
739,260,002,102,168,735,681,792,626,365,782,267,257,378,109,686,549,504,930,
696,697,228,041,172,721,462,163,140,876,767,511,071,579,832,004,268,363,183,
945,639,423,521,706,188,565,972,712,925,455,912,225,867,879,592,277,880,768,
654,850,606,731,545,586,178,842,207,375,045,333,675,723,805,913,563,900,960,
694,999,944,600,633,383,345,630,311,041,371,066,036,781,794,010,169,651,668,
426,693,658,045,068,125,011,642,321,523,172,242,265,923,582,122,121,705,063,
066,927,892,717,974,703,464,418,999,384,121,930,461,558,943,049,656,884,207,
015,506,514,375,812,159,154,050,364,866,617,021,414,028,955,409,098,043,687,
797,955,796,865,590,400,071,823,531,665,699,829,681,294,584,781,473,302,275,
306,038,204,364,363,248,125,935,287,388,674,410,581,929,111,764,424,092,435,
479,982,594,737,567,904,522,483,186,389,851,241,525,325,928,615,324,089,709,
085,491,806,563,091,357,678,835,466,624,821,104,970,983,625,543,101,925,839,
425,108,647,732,310,512,128,275,681,505,116,144,129,243,929,394,893,723,096,
691,731,371,220,577,704,750,192,327,662,609,047,430,071,793,273,698,910,173,
215,972,664,561,475,437,425,923,560,991,400,583,520,668,737,142,815,308,517,
407,770,598,066,907,028,001,083,405,171,818,377,279,339,585,274,561,612,888,
328,546,544,613,710,102,798,212,572,601,264,290,387,022,172,633,947,630,099,
680,427,627,587,685,202,413,362,454,393,818,417,166,921,482,932,711,200,485,
947,067,623,319,813,781,786,988,887,172,644,830,501,059,995,933,049,482,087,
787,436,705,293,528,325,496,751,335,342,793,793,848,886,002,327,160,913,902,
100,556,941,908,253,206,814,494,424,866,042,209,302,679,539,575,692,722,666,
492,600,531,373,888,387,159,035,287,891,800,965,381,527,968,693,467,191,853,
340,708,734,488,447,556,930,905,575,802,708,556,849,128,532,676,518,815,302,
062,072,469,178,040,423,627,409,835,615,008,190,485,084,953,878,772,545,380,
638,624,129,104,760,419,674,122,641,936,185,003,783,493,619,422,785,520,135,
389,950,450,745,845,027,628,733,100,114,450,291,852,218,922,446,032,027,196,
219,096,288,163,313,967,583,289,325,185,146,935,225,617,136,060,331,068,348,
413,416,534,335,101,818,527,682,494,735,586,755,831,307,951,476,306,898,622,
935,791,157,501,672,464,466,362,428,525,450,414,994,772,125,689,928,053,261,
719,928,352,080,546,608,329,682,127,743,477,906,487,266,739,361,052,090,459,
446,265,700,298,005,013,165,823,515,483,901,118,288,856,924,483,265,257,421,
901,388,460,525,372,386,471,777,542,672,040,512,085,719,103,487,164,346,240,
046,057,901,243,065,091,727,152,440,610,469,665,204,319,570,386,405,619,688,
808,758,713,021,186,004,732,754,488,108,018,419,158,277,515,415,004,715,239,
286,034,353,349,617,909,814,653,787,615,763,780,473,771,692,206,192,543,284,
714,788,891,159,731,015,086,916,704,873,883,610,642,541,971,006,165,743,769,
035,910,849,667,690,551,361,241,650,562,027,082,933,583,671,045,220,443,843,
681,518,651,309,566,980,782,913,369,225,509,353,752,415,586,991,911,544,229,
176,670,827,111,197,818,004,422,395,393,267,473,499,507,012,203,669,506,509,
269,276,263,759,811,109,415,030,567,500,032,214,330,776,069,401,332,646,256,
408,537,052,298,229,827,804,721,769,811,652,534,512,325,342,218,828,547,639,
756,460,009,868,102,449,496,824,487,549,306,825,032,891,507,557,773,560,368,
536,691,028,235,126,431,232,243,400,446,721,158,677,874,228,754,574,517,332,
402,858,456,747,540,196,165,521,649,568,361,303,601,363,364,846,829,959,626,
824,767,013,235,085,969,741,353,555,956,377,674,658,469,785,094,734,405,713,
554,513,885,489,260,162,632,234,583,970,393,753,826,673,328,814,543,100,873,
585,687,692,520,118,090,269,807,041,424,054,531,962,375,249,999,731,723,483,
200,750,343,998,439,462,652,816,735,568,158,837,400,059,636,916,264,675,543,
540,860,323,105,272,458,850,432,178,029,068,653,526,648,399,605,655,971,021,
507,663,968,558,884,116,628,277,145,126,896,794,129,892,568,678,799,385,815,
996,093,677,749,078,726,737,133,654,321,062,882,397,509,950,210,408,855,349,
152,411,541,104,779,390,778,080,747,991,739,842,543,484,479,513,342,134,996,
546,458,281,832,392,898,187,783,418,688,056,747,074,673,179,817,081,259,117,
093,578,695,117,782,605,200,769,017,929,665,784,143,137,193,487,440,370,810,
752,869,369,025,474,065,147,635,856,701,040,510,766,597,115,041,944,217,837,
338,521,775,428,561,608,518,126,338,208,150,321,444,244,068,582,345,317,199,
745,913,477,257,334,948,615,792,193,170,544,891,310,074,154,348,333,186,171,
050,689,873,120,414,866,110,276,582,031,910,891,609,279,661,996,290,754,624,
503,904,332,783,126,355,364,914,902,718,011,299,546,019,114,407,996,895,929,
228,381,796,086,596,376,066,089,423,759,383,459,542,147,211,006,081,863,734,
590,465,853,699,564,356,354,051,337,552,197,945,970,936,223,867,156,009,813,
055,788,787,972,148,556,294,743,737,830,003,164,066,618,995,870,792,548,718,
212,551,670,554,432,328,683,068,545,365,219,591,689,153,572,036,790,847,937,
525,119,499,369,939,661,859,468,371,756,013,515,744,466,910,683,892,614,519,
507,753,773,706,043,758,415,181,746,836,085,519,159,997,987,531,732,701,600,
949,200,297,534,221,746,203,339,713,839,312,788,989,245,789,496,010,262,346,
076,881,206,651,064,206,742,884,587,123,575,956,882,510,204,016,260,845,354,
486,999,094,078,664,845,201,044,711,157,691,398,586,652,202,040,864,438,626,
794,092,735,938,557,091,625,175,390,011,990,619,385,887,495,246,945,562,616,
472,362,661,392,764,527,951,098,347,246,060,230,082,323,910,815,295,458,748,
119,571,106,177,813,921,284,590,543,653,341,310,462,575,448,432,399,298,286,
536,356,258,353,553,085,047,277,467,112,470,841,475,461,526,543,788,119,131,
136,586,646,201,978,571,599,811,126,123,004,204,141,432,482,777,260,895,085,
358,189,494,328,538,158,313,075,425,711,475,529,597,837,143,931,799,752,553,
511,637,394,113,608,419,680,512,064,582,912,699,834,785,826,050,750,412,632,
989,673,437,578,138,953,389,237,450,494,126,502,860,437,345,654,468,857,369,
677,853,082,710,372,830,258,528,272,512,381,445,075,678,906,076,268,471,080,
847,994,652,629,902,228,429,412,685,566,364,848,052,950,872,230,233,219,765,
498,773,331,423,940,027,860,661,023,543,130,670,076,665,189,163,897,979,613,
610,567,629,991,688,647,832,568,384,509,752,683,211,508,772,211,208,442,299,
085,705,773,825,205,850,138,254,830,536,493,259,400,046,846,100,850,499,751,
543,747,622,932,168,839,127,977,514,006,111,485,774,775,229,930,971,068,234,
058,664,214,608,721,912,494,336,218,975,711,461,917,680,982,989,761,208,333,
992,299,443,298,370,035,362,484,175,237,838,211,911,398,572,859,176,763,410,
976,162,410,988,929,560,003,560,798,938,018,463,458,156,928,037,221,688,403,
307,468,554,775,124,266,774,944,926,550,301,923,222,993,076,724,341,351,374,
737,938,043,592,552,279,303,273,600,462,472,481,401,436,380,155,491,649,058,
058,352,585,638,704,173,731,666,903,350,721,309,677,070,848,947,587,760,908,
887,950,546,566,539,956,178,537,281,685,940,198,304,516,525,835,773,372,766,
667,136,259,404,017,944,059,453,461,615,824,465,140,356,692,646,268,319,343,
376,526,456,745,042,318,258,981,004,086,648,768,785,404,040,725,366,257,835,
179,515,661,189,370,303,805,514,712,861,511,144,925,709,017,805,158,419,129,
230,167,053,663,365,706,334,606,213,037,373,085,747,044,567,044,945,632,723,
287,843,895,293,567,589,997,686,895,282,907,644,588,106,950,934,336,311,356,
524,075,208,455,672,644,335,744,059,575,580,681,276,945,985,086,653,258,381,
625,563,976,289,966,645,637,317,131,832,417,523,623,299,446,867,708,817,861,
250,927,188,619,076,798,455,161,291,946,378,904,385,185,913,652,654,385,056,
665,234,625,790,303,478,629,643,385,337,060,405,209,231,168,242,258,871,829,
080,740,211,168,801,160,532,987,874,973,091,059,188,169,287,845,194,843,960,
236,608,267,763,662,739,985,500,658,788,297,563,156,487,232,752,549,772,433,
917,418,765,282,885,804,584,052,335,775,120,902,355,308,309,582,103,878,653,
200,567,638,312,624,309,267,493,782,843,579,879,501,623,473,903,090,135,925,
331,734,145,283,145,213,902,844,981,548,608,966,288,808,292,389,952,994,836,
036,324,171,969,979,309,021,937,121,817,699,060,065,922,126,754,896,246,827,
036,662,869,214,514,899,740,291,406,175,227,850,240,179,311,628,606,899,775,
653,859,200,455,501,278,781,966,764,190,100,651,267,689,001,058,358,623,665,
865,202,031,474,404,437,217,458,275,488,705,969,678,160,530,292,707,016,547,
575,268,262,000,367,616,041,757,144,213,345,212,183,862,471,310,448,932,701,
775,802,797,542,528,456,377,786,065,692,790,450,043,217,577,179,523,145,869,
903,564,812,581,869,060,667,910,001,224,507,104,872,894,088,105,601,263,496,
588,237,225,527,986,953,078,327,401,863,179,799,030,453,792,800,803,899,695,
670,500,290,646,223,407,758,092,236,937,845,409,425,305,594,415,753,077,647,
770,729,949,729,346,997,561,903,443,297,992,655,773,346,430,500,726,938,733,
166,143,469,225,100,348,695,320,356,009,512,456,159,482,030,740,022,961,566,
884,835,689,174,636,720,846,235,035,400,770,630,084,851,256,594,912,416,542,
668,216,882,869,135,559,118,931,379,226,363,785,323,278,514,931,853,346,775,
132,499,507,374,773,979,176,003,289,194,732,723,909,646,023,513,023,981,361,
752,113,231,157,890,184,122,490,800,194,340,111,711,150,903,007,075,688,468,
322,377,356,550,341,563,542,352,034,992,360,371,746,713,208,374,950,078,162,
321,232,942,134,748,989,908,615,719,949,620,656,019,261,280,493,171,677,743,
561,016,027,378,433,187,253,540,417,245,307,081,709,218,452,713,488,183,432,
315,715,385,476,885,624,031,560,597,940,915,082,980,217,967,120,809,616,633,
372,121,349,362,172,186,825,120,468,075,146,841,145,194,352,547,042,947,808,
812,668,587,543,428,024,639,593,902,257,661,446,026,275,897,074,910,373,585,
362,680,029,292,934,290,973,654,234,790,816,415,303,867,993,248,082,546,539,
422,287,374,258,546,742,427,510,156,812,743,429,692,387,719,815,631,883,773,
796,374,156,532,367,094,690,792,972,155,394,279,983,775,699,088,633,620,473,
561,504,050,359,934,663,419,055,809,107,657,004,204,826,468,043,728,441,530,
187,489,217,733,623,711,675,460,197,817,897,674,347,874,274,022,924,560,197,
319,209,227,911,864,306,483,027,240,321,922,569,820,848,815,758,724,308,154,
844,629,185,374,252,445,799,436,719,369,681,003,269,067,549,979,533,507,558,
986,269,591,145,575,365,273,319,638,328,695,540,525,374,308,829,991,442,769,
713,385,555,014,128,720,658,842,830,963,501,491,229,838,287,470,645,386,539,
666,457,478,528,873,624,177,554,402,454,753,126,719,850,770,223,766,742,668,
088,168,902,284,899,229,935,865,306,275,211,952,470,009,895,669,126,789,746,
560,195,242,706,521,640,148,395,792,315,479,402,437,990,981,865,242,005,734,
023,474,760,767,971,910,780,727,698,477,081,422,605,191,554,723,069,423,401,
077,715,498,177,427,813,445,448,401,777,036,148,922,808,306,956,707,898,783,
543,964,689,450,533,710,594,429,495,263,145,094,780,085,402,421,378,525,373,
070,496,954,534,962,116,022,580,782,426,802,447,350,292,875,844,241,029,661,
176,069,268,707,621,499,385,579,135,025,753,523,661,649,696,155,088,972,975,
523,886,573,846,795,363,604,156,303,314,584,672,188,434,103,867,836,912,209,
758,579,054,681,730,882,395,601,972,035,525,110,348,625,147,299,243,088,599,
056,533,579,473,831,862,966,546,543,821,683,667,554,810,911,167,098,333,131,
837,604,867,231,832,862,455,771,008,378,485,256,952,527,196,364,803,275,317,
500,438,356,520,587,732,032,901,643,654,554,358,689,362,615,776,449,465,134,
981,391,803,165,239,713,048,989,897,909,159,732,584,039,206,884,939,692,657,
076,453,645,710,284,653,422,954,368,352,996,540,951,973,343,112,114,909,579,
268,178,905,798,306,261,882,583,033,767,247,202,191,018,353,097,455,946,813,
708,935,722,093,900,188,445,229,119,447,167,642,155,648,608,128,199,964,349,
083,605,639,629,975,104,127,093,575,958,103,634,581,507,512,665,671,623,986,
109,071,624,091,615,723,414,392,754,872,280,129,354,383,672,109,244,959,430,
371,663,172,061,545,793,720,671,716,776,600,710,234,316,866,049,071,743,315,
208,772,613,405,475,583,359,507,877,451,383,074,474,775,909,550,313,239,874,
577,105,062,729,948,545,747,447,944,554,463,114,224,583,496,079,812,654,277,
939,906,711,929,905,846,157,865,242,282,311,671,154,351,891,520,806,501,079,
370,327,995,610,605,439,154,343,386,034,730,478,478,697,037,337,633,853,855,
071,385,251,517,857,585,591,110,866,511,776,317,755,164,854,498,892,707,919,
030,713,879,620,113,768,874,135,142,046,524,266,985,866,761,951,174,924,610,
447,654,970,338,399,587,919,645,005,448,319,440,107,079,602,761,402,510,353,
921,987,394,421,399,463,715,880,396,516,294,183,112,269,538,698,900,700,579,
583,484,875,287,953,414,761,903,806,349,601,789,928,148,596,084,396,849,736,
602,124,834,663,972,571,738,238,084,500,369,526,969,786,836,013,421,088,884,
734,091,233,313,212,763,629,986,406,166,244,040,434,535,665,589,452,544,624,
849,877,657,871,169,870,033,093,725,115,936,313,096,509,857,609,074,777,097,
421,032,330,430,930,199,404,279,280,035,204,647,299,524,551,959,879,803,531,
283,524,164,857,365,966,414,235,956,396,462,369,439,216,595,851,522,991,962,
353,956,974,037,698,411,788,059,799,610,407,766,524,855,642,248,351,183,337,
924,580,598,815,669,346,275,837,570,910,723,705,864,961,247,781,261,226,856,
581,506,279,880,883,882,220,002,466,232,648,875,663,867,696,344,229,790,647,
504,907,461,831,457,382,550,427,601,906,707,742,802,926,050,712,684,190,904,
410,789,359,603,679,021,546,592,402,674,030,707,051,168,649,197,273,461,695,
600,363,360,886,070,976,464,849,473,932,231,308,286,139,008,179,076,146,176,
199,417,244,234,985,228,641,515,710,798,636,002,780,576,810,509,480,850,976,
973,372,537,809,227,690,231,002,996,490,357,422,130,960,834,136,896,954,562,
772,664,085,041,241,815,284,460,108,475,296,899,971,143,431,915,166,165,183,
860,620,082,027,613,616,921,013,880,459,698,371,765,057,698,544,273,756,160,
521,039,511,149,921,581,148,912,531,174,049,357,253,796,193,687,590,320,491,
424,355,925,318,251,856,976,906,675,906,892,417,182,057,557,057,922,233,144,
444,246,872,127,462,927,813,920,307,068,063,624,838,909,873,916,901,741,754,
217,782,274,822,590,963,643,549,015,278,135,463,532,140,458,944,719,787,668,
945,615,728,177,595,483,045,897,981,420,789,807,815,871,520,562,472,986,375,
302,956,641,984,205,986,729,355,277,897,083,504,650,351,154,659,101,880,044,
821,410,702,074,632,235,499,727,849,198,571,557,098,883,547,383,208,173,485,
747,221,502,261,618,148,172,403,400,489,827,904,252,314,106,475,211,185,149,
538,192,746,473,836,717,636,525,636,039,169,538,061,862,763,540,494,557,732,
560,779,735,881,784,312,429,578,225,673,881,437,154,224,615,264,084,869,329,
134,878,290,533,257,344,661,221,206,417,695,507,153,916,060,647,968,744,441,
684,387,751,063,722,070,342,049,857,518,407,316,222,701,453,484,640,438,947,
713,618,280,072,978,802,484,576,811,476,524,516,007,658,430,191,945,459,511,
553,985,619,808,084,705,214,327,602,340,596,119,304,132,600,624,477,548,225,
978,517,703,592,548,225,737,329,736,314,977,155,841,315,717,100,210,690,066,
615,617,025,603,203,269,029,113,605,010,801,072,746,494,237,088,101,348,993,
764,045,248,371,490,311,550,847,344,968,857,150,271,859,734,424,672,790,783,
119,145,146,374,994,700,593,755,679,416,132,117,675,048,392,429,415,919,891,
044,395,681,841,924,614,718,717,389,416,310,401,610,253,626,526,197,392,998,
622,562,804,504,826,807,792,464,967,018,405,513,107,560,650,580,385,809,846,
973,260,632,023,656,028,715,226,298,036,729,024,971,572,012,403,418,536,409,
013,411,047,781,341,508,319,539,489,829,094,638,708,410,900,855,341,913,907,
858,450,455,334,281,344,645,251,489,280,405,780,928,103,337,357,012,971,628,
893,417,949,200,691,406,287,806,130,577,302,751,162,960,479,367,384,854,686,
607,698,111,044,179,449,862,932,263,782,409,607,189,878,400,992,820,465,893,
906,822,167,934,130,877,100,771,577,228,508,389,210,875,675,257,073,926,780,
014,373,623,806,935,378,574,841,456,244,877,317,269,918,281,896,609,440,621,
811,434,084,971,709,197,780,200,190,638,447,194,575,349,593,625,744,985,095,
945,659,013,341,854,431,159,437,189,021,084,126,902,020,837,316,732,448,860,
765,280,726,110,146,505,135,718,225,842,678,292,738,011,571,311,758,512,700,
062,604,594,259,085,055,432,119,193,490,847,584,472,618,262,448,640,192,210,
099,551,285,285,473,501,159,883,754,554,268,823,762,157,222,642,107,221,407,
075,378,993,416,601,523,867,811,926,468,962,957,398,869,747,532,246,004,205,
205,876,758,630,528,977,842,363,798,023,821,745,161,848,214,841,304,014,745,
673,166,498,129,458,440,128,410,726,791,368,643,166,474,780,311,988,993,319,
774,022,245,913,199,684,421,372,229,255,476,150,100,409,306,541,761,486,982,
960,613,873,220,519,414,525,216,243,029,453,439,491,512,502,587,600,672,976,
015,255,299,350,420,206,840,420,269,526,676,557,759,086,754,876,834,609,463,
572,689,076,111,176,918,351,757,106,863,085,674,854,027,322,530,258,865,128,
295,674,040,762,058,030,477,797,406,232,297,805,004,834,858,528,673,411,796,
509,167,031,723,720,410,772,816,638,056,732,920,109,312,201,723,476,533,838,
938,995,246,351,156,212,599,473,885,614,397,358,613,996,087,934,194,241,321,
550,730,481,498,866,127,720,747,047,105,555,872,665,495,925,813,883,721,966,
565,767,095,751,392,417,834,144,459,477,610,817,724,563,912,427,364,403,028,
703,558,269,409,141,072,131,044,746,265,254,840,308,840,019,114,391,979,513,
175,614,513,401,530,189,852,499,148,540,234,911,072,755,447,986,552,727,841,
495,946,820,698,851,295,013,837,991,385,856,651,499,335,061,320,914,565,206,
149,230,121,637,490,691,636,785,016,198,078,915,109,685,933,035,228,170,514,
893,065,644,093,661,885,918,065,775,093,483,071,882,878,049,904,813,575,504,
293,266,195,929,801,527,119,836,573,568,789,672,723,723,683,330,807,531,321,
460,543,905,699,529,924,783,012,637,699,155,670,349,283,448,588,836,279,153,
907,519,319,587,856,955,738,114,612,340,024,010,973,121,314,677,220,208,907,
168,409,165,181,775,989,219,235,108,136,123,765,113,497,472,492,952,627,152,
401,368,107,967,006,503,150,276,206,053,295,843,812,059,985,594,240,738,546,
034,202,156,013,091,403,704,221,583,305,548,524,893,343,289,669,087,864,182,
523,192,511,075,345,850,500,354,392,341,524,757,214,461,923,421,741,117,247,
942,652,460,058,258,956,930,624,466,882,648,821,709,309,351,848,286,220,738,
885,083,337,971,942,112,388,177,913,017,805,671,917,515,521,890,861,605,425,
753,174,083,248,540,541,349,540,166,727,246,045,529,221,520,352,172,373,328,
022,188,663,781,089,295,806,020,766,614,840,295,118,754,524,929,615,674,535,
324,026,606,436,632,777,181,598,658,719,694,020,714,340,399,461,014,067,226,
030,699,327,030,306,790,797,343,204,534,408,455,421,643,586,191,278,337,898,
435,787,836,591,105,490,175,005,279,130,971,648,816,380,859,445,703,460,274,
573,914,495,964,156,354,268,275,699,878,861,521,309,620,902,492,953,114,376,
880,457,450,802,608,824,136,861,583,379,938,805,659,897,717,720,763,092,039,
652,070,315,351,452,448,293,080,558,589,795,142,383,216,494,450,992,281,631,
004,686,373,099,977,284,113,411,827,036,996,551,422,912,444,508,257,096,366,
037,374,848,103,617,316,362,905,779,412,631,912,852,039,951,329,351,674,517,
690,463,109,261,788,719,358,373,100,327,985,661,556,816,737,385,953,802,274,
969,252,974,734,152,470,073,858,590,662,088,796,908,671,201,777,171,740,733,
307,642,805,024,074,487,703,157,059,634,054,722,496,529,268,586,346,698,520,
185,672,030,401,544,644,242,353,522,425,296,619,453,743,564,268,514,375,137,
526,537,990,960,211,120,696,311,859,044,173,194,975,096,849,287,895,454,567,
688,228,464,935,605,925,981,420,431,028,811,063,412,220,270,084,027,812,113,
829,276,855,580,028,901,169,064,352,740,499,839,077,474,539,938,274,729,409,
414,814,769,544,974,479,977,305,947,205,507,077,991,819,760,176,223,970,697,
550,320,446,029,671,122,433,296,653,537,445,099,128,495,788,114,400,646,618,
965,046,635,392,205,904,114,445,219,788,079,951,744,019,631,873,122,501,424,
774,473,696,451,245,445,378,841,135,379,668,830,826,883,959,462,840,344,128,
431,583,336,819,464,175,368,391,095,700,285,583,166,840,029,414,598,906,777,
245,693,146,833,014,277,211,197,135,758,558,809,474,501,807,822,561,150,084,
141,397,796,400,844,329,660,463,379,172,541,551,729,306,348,911,550,622,546,
531,597,583,933,790,610,990,891,090,424,980,370,744,689,676,468,280,647,254,
558,009,523,385,567,022,583,555,814,851,857,618,151,853,764,299,841,641,713,
910,530,187,444,886,737,511,681,690,322,284,964,633,877,444,418,329,948,246,
736,371,324,707,069,095,519,902,060,600,416,804,628,584,043,816,524,601,830,
890,906,181,529,440,130,928,471,420,336,506,640,677,896,481,358,830,556,021,
433,233,629,913,905,593,642,061,595,294,073,075,937,496,706,593,315,702,131,
958,477,855,958,673,454,557,054,027,035,558,100,389,137,431,760,939,707,288,
245,076,307,790,823,130,578,987,928,441,060,524,011,687,500,897,807,374,888,
189,978,669,166,563,305,643,190,217,720,008,779,186,720,885,066,706,741,120,
266,326,821,246,160,350,004,553,019,334,139,923,033,532,872,311,375,818,876,
048,216,911,854,600,014,211,794,488,867,222,263,050,738,363,791,188,082,783,
586,832,734,341,999,156,777,953,216,076,899,578,071,645,907,703,919,501,261,
370,973,869,553,477,498,543,334,328,155,946,637,410,270,707,660,830,516,717,
018,281,527,141,081,081,273,288,424,905,778,663,324,169,113,292,624,979,695,
696,752,318,450,234,729,388,610,718,221,858,764,979,860,917,645,512,609,135,
891,591,524,617,160,028,611,501,177,872,555,483,138,397,509,568,218,383,750,
456,553,470,740,501,724,960,254,432,808,364,076,098,674,125,314,660,169,305,
480,585,326,898,641,464,285,844,864,100,227,991,313,764,630,039,166,181,378,
834,780,674,373,822,774,325,546,851,199,366,491,315,558,793,744,587,804,179,
401,657,650,412,653,345,260,226,716,587,260,273,734,295,574,327,454,256,259,
021,952,098,341,417,447,759,320,056,019,148,625,049,790,117,901,525,499,534,
853,021,012,764,697,298,582,061,241,246,982,593,925,256,065,020,687,285,497,
455,103,391,932,422,871,223,786,214,336,528,921,966,973,908,580,960,453,535,
810,202,457,522,673,887,205,673,989,491,187,240,581,293,800,293,767,524,237,
238,579,343,438,894,917,047,592,498,048,254,023,243,379,483,002,322,157,307,
072,508,175,679,855,790,145,750,987,713,692,211,313,644,869,607,089,218,292,
347,378,768,881,477,303,741,597,429,598,807,888,059,982,056,935,561,320,619,
858,900,470,379,057,157,834,682,633,101,072,274,254,711,225,659,438,781,944,
768,150,867,559,376,745,373,048,685,720,919,489,136,597,582,785,421,650,237,
158,247,413,321,936,542,094,943,915,674,930,818,935,397,879,346,104,868,917,
021,272,964,650,356,604,790,992,375,560,380,027,149,663,734,495,713,010,221,
555,727,954,541,657,183,041,724,933,714,501,119,243,523,509,947,533,624,486,
566,920,028,122,241,370,071,795,354,553,927,529,318,732,936,202,696,098,126,
033,220,849,978,866,076,000,130,368,621,784,374,225,087,511,295,323,490,375,
743,532,046,211,915,064,762,934,724,525,739,124,827,057,091,182,055,546,209,
647,207,979,117,988,809,540,078,648,638,727,725,620,202,354,632,569,929,280,
412,734,689,318,747,624,475,353,629,374,716,364,318,566,430,284,240,729,686,
175,326,451,765,873,392,471,592,865,822,422,963,116,461,062,049,547,255,047,
192,635,073,901,779,095,386,333,828,824,424,251,004,802,867,390,172,671,241,
128,024,854,070,830,074,759,829,901,580,798,446,175,368,967,833,186,032,554,
686,307,724,218,331,840,617,161,766,276,981,879,257,561,012,343,893,113,606,
023,257,907,303,041,531,349,000,747,770,960,002,134,785,036,533,491,362,107,
739,782,935,520,958,967,041,525,108,964,162,927,130,748,038,663,195,475,770,
635,515,473,469,383,174,016,567,137,042,462,528,772,711,307,963,393,790,904,
982,606,078,321,781,675,171,917,707,274,589,330,793,665,740,609,455,211,811,
821,982,352,570,128,787,853,920,291,935,848,850,581,974,098,847,547,888,220,
342,298,761,342,495,023,548,693,645,740,395,052,872,115,766,022,511,732,247,
460,897,811,413,205,624,682,201,091,247,792,441,853,622,460,719,595,400,799,
978,760,968,661,086,767,943,565,201,940,395,854,509,169,152,549,400,467,955,
358,467,061,753,698,812,659,066,522,415,556,159,150,424,684,505,744,788,655,
413,982,773,033,448,729,126,101,189,716,470,229,904,295,764,268,532,891,666,
093,793,321,972,958,919,965,717,495,430,437,458,315,068,190,814,351,494,562,
252,603,804,108,811,682,932,939,342,979,756,115,022,934,446,566,477,110,594,
713,802,821,084,666,049,944,012,495,510,784,772,279,769,438,594,078,475,847,
234,131,748,950,721,319,846,010,766,995,913,081,926,699,468,683,518,360,097,
336,083,389,777,428,698,556,437,513,071,379,429,161,982,897,214,411,552,085,
581,898,189,446,851,410,401,231,418,425,091,112,834,941,477,260,971,523,776,
633,783,572,797,835,381,100,382,376,364,081,898,599,696,080,690,668,476,655,
992,322,681,739,903,256,636,364,877,924,846,404,054,575,278,214,316,814,809,
431,584,080,433,800,684,022,650,554,576,959,857,528,969,650,090,845,762,647,
463,267,208,428,198,493,581,045,146,274,718,829,429,120,954,967,150,003,495,
767,205,143,507,940,249,825,958,641,601,663,588,348,701,523,332,429,092,261,
321,304,161,738,246,572,210,311,842,965,884,906,525,363,613,479,518,312,052,
454,243,576,480,243,923,485,405,719,939,285,441,235,955,789,171,594,041,167,
347,550,770,757,196,102,634,577,456,659,045,694,202,724,210,675,578,442,889,
541,176,315,433,936,860,292,748,393,643,293,678,554,389,641,066,649,731,237,
925,184,512,008,849,012,854,957,924,222,123,350,721,214,745,921,914,920,339,
311,273,548,089,080,256,786,780,911,641,951,289,285,499,533,069,323,496,447,
319,134,906,149,071,649,184,906,914,753,745,331,840,645,319,515,339,658,263,
307,427,812,013,899,146,854,044,678,421,995,513,301,256,679,429,814,443,639,
513,929,294,046,038,681,480,388,094,635,730,622,660,720,027,427,345,624,799,
366,073,432,517,617,255,590,537,063,600,179,385,688,031,567,374,466,351,516,
206,444,016,101,726,367,606,295,061,148,317,887,550,315,539,971,480,446,585,
669,362,071,669,162,793,456,846,244,572,408,887,209,853,369,787,065,058,555,
101,251,659,999,817,672,184,323,719,093,947,462,521,130,013,449,422,517,229,
340,183,903,004,197,570,364,785,189,059,019,405,896,196,543,280,096,603,140,
562,766,005,157,319,210,324,254,729,969,136,875,911,089,269,236,956,483,626,
790,774,594,504,927,755,397,161,138,180,331,114,107,953,682,604,647,693,537,
125,813,580,760,028,366,795,285,774,790,876,947,268,511,016,550,451,743,881,
527,889,231,996,674,250,066,908,031,603,676,766,293,671,294,222,934,618,915,
423,982,522,944,804,941,001,495,299,512,173,154,678,307,460,202,090,878,744,
398,245,567,638,606,062,264,056,952,682,250,602,024,838,261,697,053,987,391,
197,170,092,980,203,169,248,115,643,445,152,133,001,195,651,711,050,449,550,
479,648,629,598,535,674,827,240,906,906,111,834,094,736,577,235,001,528,646,
643,804,202,692,073,759,814,210,673,500,780,211,308,937,816,015,369,870,447,
376,109,762,244,055,948,427,597,745,715,484,664,502,554,945,601,603,297,583,
658,037,595,033,817,856,189,067,557,008,513,707,839,814,109,854,260,330,903,
588,796,365,762,955,566,334,129,587,569,788,483,008,064,641,783,982,366,989,
454,436,577,626,035,582,624,173,435,871,611,153,599,911,775,708,421,812,236,
431,166,750,628,019,030,840,168,307,008,868,668,015,647,420,058,587,827,540,
975,079,004,177,865,130,342,730,500,485,441,880,394,563,706,901,134,350,311,
370,067,793,533,883,754,740,357,806,063,475,214,737,240,327,437,981,222,759,
044,276,397,894,080,844,501,992,580,643,261,148,200,451,363,427,848,122,734,
269,067,200,162,874,344,373,451,599,415,573,877,510,020,414,106,529,198,407,
598,496,700,762,783,228,063,138,701,302,117,909,031,134,113,027,945,915,648,
770,599,967,672,236,051,509,835,552,955,233,286,016,560,369,757,125,989,894,
880,195,709,195,414,032,467,835,264,896,761,960,090,680,996,021,289,899,356,
781,526,758,437,865,486,892,891,138,622,291,784,042,090,721,903,466,958,927,
161,355,297,228,703,636,864,411,450,999,224,633,472,574,444,930,560,679,206,
055,164,068,221,351,317,868,074,156,143,133,833,005,846,604,662,759,366,465,
488,769,270,721,839,109,503,580,382,511,141,124,996,644,687,290,146,287,829,
413,973,875,539,819,380,288,482,787,170,060,023,408,536,007,184,207,010,795,
236,831,614,617,200,784,690,383,023,621,291,704,220,307,952,121,656,602,169,
707,764,789,629,296,383,071,223,009,759,043,517,640,459,797,239,289,520,952,
212,783,927,956,548,249,494,866,310,479,801,987,548,004,660,064,512,132,828,
393,649,189,729,711,649,184,910,575,435,579,826,599,597,622,819,531,647,020,
221,436,358,174,691,092,994,755,992,016,577,657,383,579,393,213,912,115,881,
785,099,153,609,471,725,312,119,336,052,007,448,698,593,164,481,771,827,057,
391,045,747,396,465,649,181,650,846,137,680,078,301,818,640,637,937,118,710,
720,513,633,032,732,446,762,802,563,392,277,563,406,783,977,496,404,009,683,
995,482,675,690,077,493,214,182,321,786,548,421,436,793,000,486,766,676,466,
111,003,886,338,877,688,617,006,495,662,762,628,476,813,096,335,080,403,370,
056,010,305,350,917,832,860,677,882,325,396,322,477,634,087,406,036,971,164,
318,221,926,082,885,344,382,038,371,196,264,665,781,013,415,984,410,692,091,
983,754,605,231,439,446,327,032,278,069,008,377,170,730,354,438,148,013,497,
132,636,216,447,869,120,273,192,206,084,737,065,631,247,192,887,155,682,682,
153,583,313,622,633,330,320,548,135,713,130,005,208,509,314,783,135,169,042,
788,017,933,079,410,496,449,016,926,425,620,431,685,658,676,204,464,111,311,
094,487,356,904,434,782,869,104,264,612,264,855,624,345,664,198,615,938,076,
859,285,184,774,190,526,750,686,336,315,543,190,622,343,012,325,757,519,410,
397,326,510,802,212,714,368,471,832,523,042,554,459,266,526,675,817,943,028,
694,129,018,520,798,757,462,803,661,007,438,763,974,199,800,942,439,883,306,
466,882,934,703,856,419,139,134,691,576,467,159,010,552,310,980,820,878,789,
131,349,132,778,130,923,031,057,504,165,265,942,353,607,674,406,205,441,887,
732,111,764,204,449,223,662,683,822,903,565,670,385,180,781,952,224,315,776,
794,384,415,210,964,445,895,165,070,484,292,771,925,666,785,248,242,910,209,
388,146,081,871,777,456,349,181,110,978,095,641,599,287,862,180,722,056,446,
436,044,823,020,348,859,200,610,228,473,511,677,356,031,487,165,261,083,763,
403,501,553,894,840,674,276,290,224,114,092,398,449,687,409,799,152,263,945,
560,748,264,631,659,481,035,084,426,785,705,640,484,640,169,113,818,305,398,
278,001,155,829,399,457,496,398,777,635,822,419,253,165,276,900,703,094,473,
638,401,353,695,776,485,662,903,163,327,587,048,807,890,667,385,342,516,186,
335,623,215,815,609,266,234,019,285,015,066,448,306,464,877,837,570,725,580,
975,102,394,745,497,637,965,662,558,966,746,856,373,068,355,928,965,769,754,
433,937,439,452,526,927,692,410,393,230,105,589,081,756,869,225,481,319,782,
508,694,581,736,446,446,086,605,255,136,734,974,766,017,385,299,811,608,534,
491,075,755,196,331,235,014,477,790,058,390,284,237,026,349,011,713,016,477,
516,703,272,219,761,641,916,844,672,717,609,380,482,692,118,626,262,861,334,
891,644,382,747,423,040,056,050,421,553,185,975,721,700,843,858,821,721,076,
772,768,996,829,013,451,428,000,225,314,173,579,502,410,637,794,194,856,057,
901,056,759,212,274,936,398,460,288,415,161,490,208,968,465,945,830,303,061,
495,851,556,821,920,690,655,165,733,220,847,666,458,534,727,267,015,671,602,
767,608,064,955,938,008,268,045,655,687,801,711,536,426,491,269,564,714,724,
265,790,461,778,902,596,654,935,072,334,416,028,077,652,243,966,607,281,189,
106,739,932,684,576,187,308,454,435,629,643,461,024,233,747,021,888,511,269,
536,502,284,948,698,873,246,781,613,832,085,520,805,150,972,136,686,883,933,
892,486,091,037,141,149,742,009,763,365,696,446,428,165,197,181,929,308,240,
506,982,910,716,093,324,295,351,405,129,371,214,895,160,247,141,372,275,421,
311,911,265,146,752,944,582,887,349,859,501,428,757,070,989,119,943,888,241,
813,150,024,063,967,464,496,516,347,871,943,874,366,334,412,154,246,937,423,
765,468,400,420,283,900,564,496,110,484,177,839,898,992,332,651,430,661,226,
287,406,367,696,801,797,506,843,960,531,257,175,016,715,479,145,635,513,837,
708,035,280,708,086,766,189,546,865,423,152,911,792,967,911,981,762,503,956,
800,108,979,854,998,844,631,854,380,110,332,126,248,107,311,796,065,853,080,
773,942,185,652,900,535,799,098,797,194,745,186,163,513,403,769,457,588,963,
503,281,102,452,322,133,573,751,006,315,946,450,338,861,565,278,292,301,132,
162,655,846,983,768,888,115,725,478,025,325,177,748,282,389,868,796,748,754,
995,784,241,327,246,622,034,544,337,589,195,551,141,235,915,836,211,448,827,
115,087,650,661,961,774,878,184,184,055,005,801,860,068,838,122,058,107,361,
121,670,311,858,230,164,271,510,738,303,072,938,993,099,950,529,517,540,412,
431,109,246,007,408,190,204,823,686,390,643,338,538,625,520,934,307,457,855,
245,432,626,618,128,489,138,369,678,452,361,769,760,917,898,775,034,948,683,
141,745,631,561,031,514,602,312,429,309,540,141,203,607,077,948,032,578,045,
222,721,019,109,531,748,121,907,388,018,157,118,487,222,077,983,695,763,682,
785,229,151,643,132,523,061,919,146,666,005,155,726,635,733,440,803,887,250,
108,192,334,606,011,321,248,516,714,240,459,790,260,295,011,050,060,739,118,
226,907,157,892,581,582,741,381,121,710,339,019,489,353,023,984,184,998,195,
553,053,881,662,209,744,067,870,624,411,884,341,138,548,060,021,320,033,505,
009,627,002,032,705,239,365,485,440,198,920,378,908,363,047,385,576,185,763,
099,414,680,049,016,552,636,397,347,057,093,737,556,035,971,978,875,275,930,
917,817,396,475,983,342,320,000,278,329,923,513,366,785,774,706,052,453,291,
599,537,415,607,062,511,025,997,113,533,479,083,642,352,246,819,410,153,824,
297,948,009,970,087,533,164,564,857,020,882,833,675,204,311,733,953,566,937,
969,597,397,460,464,147,070,694,165,192,525,921,025,962,276,194,390,509,121,
517,085,346,864,195,191,374,809,933,579,924,881,297,814,108,448,165,579,849,
927,869,991,665,787,389,540,999,122,189,851,865,341,918,699,496,015,838,948,
116,516,726,663,287,813,359,067,606,072,764,557,731,567,967,596,325,432,416,
838,067,725,542,631,747,241,093,381,592,428,173,201,057,929,171,392,367,207,
626,842,940,026,168,042,377,951,235,985,726,786,244,247,469,423,672,297,177,
596,003,135,001,048,357,836,639,008,810,056,808,546,321,399,838,248,629,076,
063,506,671,194,776,366,613,753,992,595,954,935,976,914,941,759,230,695,608,
187,839,334,993,061,383,772,314,441,047,067,774,068,985,261,242,384,061,399,
949,597,508,012,057,857,779,460,072,013,780,004,829,391,674,661,029,714,152,
264,015,483,028,409,337,545,791,899,335,875,934,840,554,429,540,213,664,222,
609,070,755,315,266,406,004,657,724,192,921,918,295,104,914,590,212,687,257,
287,901,827,884,274,190,745,274,480,655,826,856,425,374,949,731,686,177,650,
292,478,759,655,498,486,489,124,596,865,006,709,162,061,420,584,509,640,607,
086,637,918,896,132,370,202,900,520,955,190,191,162,269,366,656,265,482,123,
168,111,913,132,443,262,489,687,516,347,667,259,115,636,980,005,156,950,595,
077,208,910,324,811,456,765,177,481,854,560,273,259,923,073,629,608,855,418,
799,183,653,557,161,268,296,638,983,928,694,256,411,350,000,880,209,802,092,
004,706,832,629,307,110,415,193,238,550,421,062,674,318,018,980,198,518,241,
023,735,854,141,457,058,048,098,354,503,867,889,085,370,722,088,971,546,941,
157,786,604,101,393,566,156,228,390,824,423,693,569,509,583,609,573,180,489,
362,666,263,622,100,096,928,087,801,167,111,202,050,152,487,505,275,769,178,
978,433,585,767,609,410,062,117,103,074,820,804,379,589,054,887,777,482,040,
599,513,132,361,788,425,211,314,793,377,022,370,813,648,248,281,705,593,704,
461,253,397,316,076,106,927,351,639,094,320,014,247,601,249,427,799,728,298,
569,999,432,320,862,124,387,039,451,176,622,646,946,711,886,412,956,532,343,
271,241,215,015,279,247,358,712,810,894,834,519,566,384,231,244,180,697,882,
722,686,655,968,346,576,909,123,285,760,849,067,211,786,062,810,299,550,015,
562,828,113,958,780,840,756,526,937,084,934,415,251,935,219,216,977,345,467,
006,225,262,989,773,820,860,662,944,227,333,079,629,842,509,489,707,006,642,
817,017,032,679,882,641,968,133,441,141,395,195,490,385,055,403,710,216,403,
064,249,151,949,979,666,760,171,861,565,493,112,569,665,658,003,329,175,638,
479,928,217,308,111,938,855,002,213,360,759,294,506,868,327,742,508,511,479,
288,509,963,819,128,555,216,790,600,066,056,371,261,385,738,890,794,490,243,
515,665,855,120,646,083,130,859,971,203,696,186,248,378,887,365,388,397,927,
904,955,522,385,088,259,536,850,812,967,423,231,929,374,174,559,875,526,605,
242,054,368,451,655,668,770,958,522,356,091,120,789,908,242,983,450,869,723,
518,168,948,633,070,281,237,551,737,942,977,625,018,039,093,510,298,247,314,
079,320,947,561,646,402,328,213,048,925,809,322,503,819,854,877,940,697,813,
142,309,497,834,008,673,998,798,169,456,847,282,654,021,979,048,620,916,142,
401,734,115,015,487,595,345,405,678,701,236,704,147,681,631,633,158,278,891,
554,549,729,312,609,210,979,747,229,606,005,205,884,038,075,695,376,785,853,
704,850,525,388,721,884,026,747,668,639,043,826,803,033,740,524,888,034,554,
809,369,335,703,796,581,752,808,943,877,530,993,947,633,894,887,530,765,377,
231,516,650,613,232,511,306,729,133,503,870,587,799,650,275,293,411,574,769,
439,285,670,360,719,007,420,419,572,543,335,555,642,386,847,497,117,193,689,
881,948,195,440,043,760,073,481,505,202,853,606,938,274,827,434,015,671,557,
301,303,118,113,968,531,234,738,491,735,299,715,313,824,260,147,172,143,972,
555,736,968,555,339,740,567,569,921,791,192,621,249,876,193,482,930,025,085,
351,663,122,776,678,580,594,663,310,454,279,106,756,162,741,504,572,108,380,
029,759,805,594,752,812,279,065,510,065,736,303,669,726,662,464,722,939,672,
021,165,382,905,430,249,583,034,103,857,908,306,921,303,579,867,215,612,022,
610,740,665,580,085,171,289,529,610,499,142,390,757,251,814,821,958,173,581,
338,591,878,754,570,186,240,591,389,694,146,101,626,056,608,525,593,825,739,
846,763,766,433,055,122,259,252,201,124,845,824,721,131,749,564,435,576,021,
966,230,168,453,814,717,465,521,739,283,955,117,525,228,701,171,118,748,160,
028,784,708,461,955,209,676,817,155,535,209,813,538,163,500,582,842,354,733,
480,353,498,990,231,195,971,226,281,156,416,764,776,774,173,031,416,184,162,
616,670,812,835,524,063,876,482,036,237,312,496,859,918,347,907,653,804,667,
837,901,265,372,304,088,939,003,076,738,920,799,247,911,526,748,104,694,422,
633,749,273,314,721,317,014,056,632,609,636,212,032,326,370,399,844,230,694,
612,861,272,777,783,792,735,032,572,377,771,631,102,509,638,360,684,993,831,
418,384,425,648,139,342,475,344,932,719,094,519,195,783,855,959,065,358,114,
312,890,690,102,557,194,108,943,985,240,230,362,451,264,510,949,383,142,870,
298,276,436,560,837,103,631,031,172,528,264,143,216,380,466,253,275,614,117,
225,735,519,334,740,755,047,542,955,179,263,307,800,381,750,338,852,502,646,
619,870,015,605,757,121,298,279,725,005,318,373,245,352,343,255,612,420,548,
403,937,064,116,554,681,929,728,731,421,346,750,557,308,137,752,636,496,726,
668,789,891,392,456,441,806,084,318,791,808,200,706,687,277,181,334,750,335,
176,278,740,270,381,705,045,820,846,727,191,671,136,919,746,250,912,096,148,
711,889,180,654,721,040,443,231,252,743,435,845,998,543,289,747,870,029,096,
532,255,706,022,210,743,799,245,192,593,762,315,339,098,180,934,121,326,780,
844,842,802,414,372,556,239,659,313,814,302,379,050,250,299,422,161,448,705,
994,526,353,884,940,964,707,620,583,963,301,613,243,405,808,677,649,571,330,
889,254,688,107,489,338,260,876,920,449,327,648,407,029,597,562,322,632,478,
318,082,092,913,638,745,191,177,503,825,150,357,154,815,301,176,986,778,055,
021,630,927,527,666,417,846,949,733,117,256,285,412,717,294,684,501,466,678,
414,521,964,836,538,009,864,324,929,726,560,455,025,408,127,431,653,710,630,
020,754,735,736,014,869,996,070,672,462,410,656,148,904,033,580,026,187,210,
973,399,656,797,922,536,754,204,659,132,563,301,505,821,090,211,128,195,946,
566,019,112,865,148,234,199,068,437,702,804,169,978,122,460,587,220,488,006,
509,981,010,217,416,056,924,801,573,439,336,031,734,479,938,704,901,137,966,
664,717,303,476,955,851,773,477,352,849,148,324,462,463,940,498,606,259,245,
207,604,997,142,901,196,474,862,018,277,154,320,693,151,104,383,731,059,831,
769,910,548,882,590,402,427,989,347,566,784,671,676,127,707,979,234,882,807,
255,194,771,903,295,358,432,064,981,144,440,703,532,359,795,038,043,649,682,
727,870,597,643,055,317,870,095,816,069,439,205,407,750,541,947,574,247,106,
082,690,703,335,279,236,536,550,964,285,456,197,690,709,899,516,201,373,897,
535,297,941,363,451,212,470,603,269,761,411,137,649,830,268,921,767,019,983,
047,173,779,364,801,081,453,987,754,958,389,859,522,055,021,924,239,371,883,
494,372,960,218,923,179,571,742,250,214,661,698,260,527,472,474,007,581,376,
743,287,028,467,201,803,520,352,096,530,115,410,130,473,629,717,154,497,189,
114,348,418,535,033,454,247,572,264,495,472,128,291,601,644,355,141,563,509,
368,689,016,424,195,483,545,159,355,882,189,922,991,349,862,042,315,504,014,
914,218,666,482,526,235,049,464,736,132,478,907,804,996,377,412,374,936,729,
496,372,728,038,725,116,419,134,614,259,647,755,291,188,391,573,564,018,595,
134,552,551,397,179,341,496,566,624,813,112,171,509,633,406,229,504,409,099,
035,821,311,952,346,363,853,288,477,186,368,235,623,501,171,804,197,309,871,
095,070,202,599,062,685,059,546,927,004,091,618,409,570,410,622,814,791,998,
183,385,625,396,810,223,431,245,907,049,310,172,081,451,991,706,877,396,498,
205,467,235,410,100,298,558,044,466,082,901,221,824,108,103,625,825,733,011,
458,221,528,559,613,469,736,833,081,569,615,733,375,290,171,294,151,761,151,
391,372,954,700,501,471,153,447,298,525,610,168,978,562,257,540,287,247,096,
382,305,943,421,508,024,504,197,986,178,969,132,547,213,655,004,510,462,159,
929,121,419,486,274,839,606,546,782,175,749,842,689,234,793,114,498,580,058,
948,385,096,896,723,299,620,665,848,226,009,791,416,768,973,737,423,127,039,
638,960,325,619,916,627,508,424,285,625,519,728,018,486,164,733,434,377,005,
061,042,830,519,526,031,337,772,953,416,897,667,001,738,008,126,529,839,983,
086,820,854,433,186,976,349,735,313,796,176,985,917,001,152,695,935,432,487,
258,421,236,442,017,846,191,133,648,345,755,653,412,464,585,213,966,268,137,
092,194,884,092,825,597,436,010,971,259,000,040,964,443,384,698,296,802,978,
304,350,178,645,343,083,454,701,927,411,190,697,233,772,741,041,127,880,298,
387,374,699,694,550,913,830,384,642,619,306,937,058,253,176,160,003,098,083,
361,073,383,895,322,765,496,143,299,503,118,471,906,566,669,030,378,074,531,
624,738,989,868,070,254,153,791,906,980,968,221,919,315,054,553,601,961,714,
104,531,609,519,837,771,839,983,393,620,361,212,581,540,687,382,748,098,050,
974,318,299,434,135,037,289,298,775,109,290,322,715,520,378,914,135,315,050,
852,078,366,566,395,126,748,773,756,684,940,176,868,787,584,257,152,995,270,
601,581,716,821,375,988,197,543,089,091,442,610,716,989,001,795,185,832,607,
670,934,453,989,426,688,544,885,744,156,728,115,556,542,780,098,219,658,289,
454,342,469,616,134,764,275,932,613,999,124,994,222,011,056,058,466,806,953,
330,535,392,743,596,606,587,147,957,105,900,501,861,555,018,905,153,732,753,
054,889,128,725,542,355,458,981,602,294,144,215,726,031,425,712,048,765,925,
123,769,867,816,953,572,664,556,599,607,218,348,143,030,245,708,265,857,850,
948,602,024,644,195,895,426,945,777,024,390,156,462,930,390,498,113,034,156,
279,914,786,093,702,309,764,377,188,939,190,687,430,573,467,991,876,084,665,
881,863,394,477,882,177,087,626,454,508,059,942,516,439,959,746,082,712,732,
339,469,746,466,127,757,366,642,529,481,154,176,200,728,315,129,287,900,507,
149,712,615,232,022,934,993,805,196,627,680,742,899,859,132,679,651,976,908,
858,139,877,190,641,285,001,224,588,134,885,838,515,934,908,845,693,154,857,
985,931,419,071,686,603,264,515,740,819,165,368,578,297,214,351,841,542,796,
132,202,390,527,528,567,787,280,897,618,242,440,686,792,717,837,407,529,695,
750,928,966,408,100,998,462,725,165,621,326,482,612,756,235,787,772,612,925,
744,873,538,787,995,390,013,058,488,859,514,249,620,476,177,460,487,315,993,
867,079,562,907,864,723,105,577,712,820,981,604,680,122,258,581,685,628,243,
790,763,750,553,356,528,943,607,199,081,211,037,817,671,168,411,037,319,428,
720,479,678,277,010,341,111,243,115,133,817,664,224,467,325,099,594,108,039,
285,880,310,708,475,968,270,879,755,860,319,431,123,056,998,836,082,591,006,
797,074,734,745,784,304,566,752,025,338,907,104,408,495,056,495,470,734,103,
414,785,272,641,099,877,802,822,247,054,246,241,593,615,710,284,086,760,107,
898,010,811,633,426,170,055,675,287,312,198,618,441,197,132,193,758,666,879,
191,049,486,682,717,340,227,418,409,761,173,002,757,366,139,927,737,367,233,
398,401,348,031,595,467,931,330,020,865,783,890,278,891,262,293,289,872,694,
859,547,666,877,441,756,642,731,591,676,194,171,654,059,744,769,241,505,977,
597,605,635,248,734,572,694,066,743,441,634,543,018,014,978,086,206,109,723,
922,452,719,260,844,324,906,023,156,010,281,832,131,069,120,387,602,608,861,
969,515,292,071,777,705,275,001,192,105,302,667,845,985,109,544,708,911,767,
914,219,668,023,956,608,192,397,232,165,956,571,249,137,132,695,634,328,919,
139,220,812,579,012,557,210,716,490,005,645,894,400,841,635,160,174,537,124,
879,050,337,563,998,519,553,452,914,496,264,291,833,003,742,902,172,729,694,
368,641,682,129,773,095,904,499,428,949,550,672,510,984,449,782,261,694,854,
844,315,528,855,165,973,564,581,170,415,779,998,521,917,229,907,170,119,398,
105,849,527,330,760,207,094,349,362,757,948,077,475,661,348,368,160,089,965,
682,191,800,046,180,994,131,302,189,513,635,236,258,084,145,857,230,492,216,
561,660,229,038,186,336,219,093,931,550,225,305,200,637,607,187,341,417,954,
241,526,180,059,937,135,302,253,695,101,093,036,702,485,890,844,199,837,344,
621,937,066,599,779,200,750,772,170,269,541,808,609,385,841,281,183,742,709,
844,796,480,103,620,147,596,550,749,141,091,251,203,828,701,290,373,664,059,
294,779,430,402,081,971,089,984,092,381,281,828,344,222,455,336,936,556,611,
309,074,311,007,052,968,759,654,216,820,666,157,469,024,053,901,561,183,025,
885,942,526,386,389,069,631,353,232,557,187,900,107,666,841,970,396,455,023,
507,093,273,074,392,714,325,796,682,549,737,528,024,947,994,988,118,038,793,
767,727,756,864,331,835,920,959,342,502,673,186,925,894,904,205,759,278,177,
626,241,057,836,768,504,971,463,226,944,146,922,844,947,682,325,215,368,013,
495,834,019,411,882,543,459,162,676,717,532,839,938,028,388,219,054,343,534,
887,379,746,232,249,326,133,588,372,399,988,278,114,966,845,838,836,273,739,
118,622,687,451,409,814,988,681,066,798,835,487,207,168,985,810,639,448,778,
010,608,974,650,030,675,533,972,931,607,289,863,009,880,470,398,645,549,179,
200,793,422,039,625,675,907,132,691,251,697,013,966,761,865,642,562,795,840,
907,518,980,757,871,928,602,060,897,510,841,471,687,194,486,276,113,058,993,
705,517,224,205,170,670,660,687,795,996,712,962,525,541,227,638,032,076,437,
666,441,070,692,148,834,926,178,145,031,538,526,580,435,439,845,341,288,915,
272,728,807,699,017,951,616,163,242,051,075,084,415,350,422,939,213,020,706,
044,920,772,963,802,043,986,243,580,519,485,241,539,689,353,740,403,042,899,
806,554,386,220,716,525,465,646,435,102,204,672,065,797,332,494,388,863,906,
020,046,045,718,752,627,121,749,574,091,306,159,247,642,469,922,628,288,771,
881,309,981,778,632,539,598,522,143,885,404,951,649,025,628,319,756,270,382,
763,709,559,858,381,436,307,517,937,114,498,062,798,558,621,264,824,963,473,
875,173,112,102,887,728,250,784,163,925,836,136,616,632,902,117,300,803,350,
923,148,832,632,517,051,448,346,820,703,786,578,846,521,147,755,181,558,635,
798,734,508,847,304,480,583,722,639,358,945,536,798,124,410,182,202,172,129,
179,912,771,696,099,352,960,985,932,743,207,863,508,186,792,710,640,826,198,
903,530,792,098,971,594,310,736,960,986,705,638,601,113,225,821,231,848,216,
161,180,897,914,460,158,510,159,846,005,701,579,000,782,525,448,444,831,160,
831,935,835,236,988,709,152,289,018,977,002,385,849,967,608,283,379,162,035,
403,972,246,109,180,119,487,501,132,383,147,236,306,867,974,713,210,500,344,
942,363,620,641,712,118,522,588,560,854,338,401,335,096,601,246,443,007,112,
494,409,000,806,833,721,546,213,649,547,607,168,137,778,205,617,485,947,898,
736,713,527,682,614,492,840,373,214,925,088,831,896,563,401,744,623,120,997,
723,263,073,320,174,532,910,708,255,447,976,329,323,485,249,208,317,778,659,
491,449,651,805,457,215,236,475,425,722,225,726,038,600,413,846,673,887,661,
017,803,305,671,984,723,083,736,628,894,922,884,715,622,800,459,478,486,439,
594,437,238,084,198,807,635,230,161,296,460,011,167,505,393,707,688,925,953,
704,576,903,596,212,714,541,509,017,199,505,183,063,177,884,060,117,767,987,
559,713,623,399,852,762,182,470,450,080,619,766,740,850,381,441,632,694,748,
942,250,222,940,097,510,194,917,139,110,706,942,972,334,624,631,515,194,843,
760,177,119,438,311,686,446,575,003,286,101,024,942,907,520,375,634,569,412,
307,067,219,086,458,317,906,372,835,904,546,381,299,256,559,572,328,026,679,
913,284,163,265,836,627,644,599,149,635,180,797,580,723,708,722,498,968,380,
986,639,868,673,350,912,265,623,433,942,689,639,103,538,537,759,277,286,517,
311,027,400,270,604,548,453,391,530,750,196,587,170,361,455,709,356,218,405,
110,068,052,326,433,852,068,305,853,529,728,032,322,738,312,292,021,205,056,
809,828,701,281,594,759,552,660,007,876,119,876,389,684,779,885,787,812,204,
088,044,409,236,445,867,200,143,738,788,682,024,296,389,250,296,019,669,189,
204,170,570,346,572,454,476,230,312,580,022,937,817,212,909,463,477,861,013,
681,731,726,363,113,860,616,238,934,677,769,962,825,444,206,307,740,643,340,
727,278,477,740,091,151,179,790,910,858,777,448,544,970,591,274,259,342,131,
252,581,846,975,225,260,242,813,706,937,985,327,652,770,826,851,279,202,795,
051,448,816,382,890,757,448,789,371,380,696,158,655,645,015,891,219,308,056,
524,319,114,281,437,098,925,720,449,551,218,921,006,070,974,128,190,269,199,
741,121,263,962,715,109,763,270,218,074,435,838,358,764,825,315,322,966,406,
244,067,979,391,992,376,524,757,492,099,721,377,065,364,925,069,683,984,442,
276,006,510,397,156,975,157,603,186,141,620,320,670,127,884,807,610,837,089,
109,914,663,680,785,715,800,281,301,288,334,231,656,065,240,723,489,497,376,
653,008,839,657,604,748,111,167,680,103,873,624,217,027,208,038,960,280,801,
598,152,539,694,648,980,148,752,614,831,769,948,205,390,237,583,840,594,458,
612,440,861,203,629,728,419,581,222,950,401,194,232,985,307,091,663,588,439,
359,651,049,970,664,229,388,206,994,103,842,995,465,345,859,236,254,016,386,
545,587,914,262,589,512,505,858,851,083,607,203,820,007,351,750,605,342,229,
587,481,997,075,472,439,747,850,836,561,626,602,161,455,494,250,587,010,859,
137,451,648,473,668,004,582,663,579,585,474,530,271,257,002,694,647,935,177,
773,653,937,055,344,491,275,674,193,009,882,136,847,357,441,725,964,053,589,
291,950,952,733,624,510,009,117,779,489,065,087,217,474,903,406,040,825,552,
916,147,422,757,065,423,243,080,202,597,897,648,828,456,818,513,330,803,227,
807,936,452,501,496,686,735,327,218,792,107,205,390,629,563,350,672,732,745,
542,245,551,114,930,708,963,665,207,260,171,333,665,781,216,315,737,625,602,
246,676,866,101,310,503,703,228,586,864,630,705,603,010,755,817,640,218,891,
728,511,134,589,021,663,819,870,033,716,310,519,474,312,788,015,421,646,893,
284,333,236,616,741,108,734,767,410,646,745,721,237,145,438,970,456,991,255,
114,024,999,666,008,379,496,217,550,647,297,543,729,778,947,802,525,763,769,
267,837,453,617,601,834,307,083,628,405,285,381,275,023,243,448,252,967,199,
106,546,031,465,603,416,310,221,018,998,808,605,119,689,954,219,145,675,339,
756,689,788,333,313,727,591,599,705,585,836,537,799,300,088,474,989,367,852,
595,415,743,868,238,967,626,972,082,405,774,318,707,498,620,544,111,815,420,
180,348,218,172,210,428,753,395,970,732,035,749,686,896,268,857,720,368,644,
434,305,066,403,843,338,265,453,834,205,925,140,342,258,379,658,289,258,053,
785,092,726,716,472,539,778,450,108,552,080,098,024,658,497,768,837,151,334,
487,407,624,290,581,119,636,638,781,618,428,255,570,442,775,808,407,305,641,
781,973,791,330,156,096,353,274,624,369,739,130,992,657,817,231,731,031,193,
009,987,942,391,718,903,016,818,225,115,845,876,191,707,897,601,052,374,810,
833,647,982,812,327,681,442,314,802,443,262,416,390,548,288,040,010,870,253,
155,217,020,862,608,410,513,452,451,810,720,816,772,412,961,256,888,696,097,
755,186,470,722,037,529,334,537,293,871,599,410,250,754,283,375,295,009,520,
500,874,656,581,923,262,081,376,162,775,770,449,947,658,360,471,016,297,680,
272,488,881,622,866,861,764,453,794,957,253,395,419,200,678,673,641,774,725,
235,870,254,382,060,829,620,442,109,314,745,963,704,073,500,424,624,657,164,
477,839,971,629,433,282,591,729,119,774,362,884,537,005,467,833,212,865,303,
640,994,203,996,797,246,252,946,594,671,968,198,801,083,903,861,764,077,823,
438,724,872,318,443,482,008,348,690,714,848,089,794,404,758,565,484,211,791,
960,761,728,237,295,621,180,055,367,966,212,680,678,279,081,831,196,014,297,
550,007,504,028,596,287,887,718,362,853,619,977,388,679,370,110,190,151,545,
655,133,685,759,987,504,707,008,062,553,356,481,728,447,339,273,433,788,034,
392,629,442,040,646,460,504,043,933,274,826,852,109,698,103,672,225,784,929,
520,101,170,066,206,415,910,086,358,606,624,960,291,370,700,451,684,189,436,
889,252,248,225,975,237,737,667,596,336,338,657,944,908,979,348,524,349,859,
389,690,680,625,311,290,718,408,819,070,395,823,853,706,162,812,935,226,747,
556,526,509,889,829,609,052,058,716,146,768,968,816,807,444,964,356,554,467,
256,277,445,715,801,133,402,266,196,670,018,946,080,015,232,861,178,230,397,
943,020,929,649,780,275,370,351,513,393,988,972,947,857,272,882,458,790,816,
988,845,589,341,069,099,851,931,248,964,805,567,999,937,037,369,638,341,012,
207,653,641,842,694,729,608,351,825,646,467,919,256,217,267,428,511,169,317,
598,075,478,087,852,856,940,687,155,227,100,738,591,476,168,096,613,888,510,
222,644,556,097,260,421,373,032,454,936,626,427,860,043,765,441,112,018,208,
912,006,237,094,523,389,443,740,749,346,795,228,964,906,192,883,157,164,919,
161,043,700,188,534,160,548,625,499,093,392,281,634,086,051,660,369,850,045,
355,967,942,901,672,632,120,956,210,297,907,285,917,246,702,098,736,810,534,
819,312,832,431,595,991,992,755,430,763,164,735,507,358,032,310,691,855,884,
583,455,455,011,087,342,259,448,648,514,122,194,254,672,750,192,293,607,729,
531,428,848,298,493,444,541,774,281,417,257,078,871,717,836,775,686,179,673,
304,736,282,225,468,426,179,223,459,008,441,181,315,306,063,726,869,043,774,
929,424,918,252,030,536,919,652,253,249,922,217,469,501,524,715,460,593,292,
030,777,021,804,826,565,095,955,421,515,126,841,366,210,658,075,469,720,725,
291,312,426,602,677,419,125,759,887,681,504,629,214,603,494,929,608,976,557,
636,647,935,200,903,313,353,056,218,675,797,418,772,995,079,064,632,342,434,
904,157,629,934,587,178,172,799,714,861,056,417,569,197,856,313,715,019,587,
566,704,764,474,182,816,264,940,537,838,861,855,731,325,069,295,217,115,506,
584,725,678,309,610,818,222,072,899,383,288,635,834,382,028,152,284,723,435,
889,816,713,835,804,068,349,611,576,473,084,478,626,223,829,366,504,910,605,
766,140,096,291,065,443,098,262,530,286,746,982,719,815,865,572,022,473,467,
789,793,937,858,325,746,632,716,313,596,613,927,307,349,073,296,922,781,208,
979,518,381,435,238,422,636,637,925,878,537,321,213,099,089,036,863,524,676,
715,469,468,654,341,887,690,996,442,745,824,477,041,570,214,165,925,762,170,
268,463,690,672,902,342,303,158,231,970,043,525,975,277,896,117,196,654,331,
417,680,721,611,520,376,581,174,071,748,234,659,955,156,121,368,675,578,999,
263,400,448,474,727,941,530,737,624,501,267,489,381,814,915,010,884,614,812,
940,406,077,091,325,042,093,541,124,678,959,882,502,714,777,911,837,283,627,
528,242,560,381,775,355,908,477,727,438,984,580,992,892,461,951,075,117,241,
245,554,478,419,208,526,573,359,218,475,515,323,548,111,990,527,183,904,763,
507,758,140,987,135,049,201,829,674,032,392,183,503,138,307,542,977,721,541,
959,078,987,118,410,572,857,319,362,260,318,175,862,278,084,064,545,911,763,
946,507,431,662,383,706,632,886,106,951,059,142,701,326,102,614,975,961,165,
837,183,412,645,172,884,457,750,684,557,248,708,170,195,161,547,702,585,060,
409,938,719,108,610,116,108,661,816,787,428,096,434,298,014,714,757,589,269,
565,730,953,079,606,564,106,075,687,733,405,535,284,890,124,051,583,386,453,
363,747,885,605,398,160,652,988,848,720,843,364,374,318,422,573,034,796,288,
147,734,085,866,813,766,298,202,220,367,766,014,486,673,370,964,262,503,949,
075,861,596,690,703,579,588,020,839,961,999,849,657,854,842,583,316,689,633,
446,975,580,321,068,560,331,636,749,496,360,063,488,473,232,802,263,803,354,
896,608,878,622,220,228,176,010,592,947,361,982,749,340,420,553,491,828,674,
089,419,067,755,582,312,202,685,874,801,582,969,307,570,252,596,103,188,649,
798,023,013,989,092,506,259,678,277,759,635,680,286,389,276,676,314,599,747,
205,927,144,192,847,959,299,976,664,988,285,792,728,907,208,488,503,415,038,
409,777,947,667,670,345,413,942,793,509,036,031,904,024,730,770,353,616,102,
279,926,292,642,790,239,290,258,829,570,078,867,652,955,212,810,989,381,825,
064,439,297,023,286,318,288,333,857,002,576,692,139,538,110,000,288,816,275,
900,434,012,951,242,020,619,891,967,666,362,691,218,282,793,550,264,578,775,
367,408,469,174,543,443,195,838,986,427,017,200,125,442,107,501,946,523,412,
407,373,688,514,746,426,592,457,748,552,217,680,948,160,340,944,401,135,995,
163,952,813,293,893,365,933,947,485,858,072,854,888,278,007,126,167,005,915,
736,161,169,735,207,775,563,690,644,369,665,406,041,869,994,245,984,331,508,
918,048,139,489,592,566,320,175,815,212,407,550,306,610,619,516,866,002,498,
784,813,740,569,310,319,959,140,066,304,302,358,503,316,190,858,592,719,551,
518,656,187,828,183,815,724,036,093,685,728,375,043,392,995,438,733,177,970,
986,900,705,859,966,796,995,136,909,822,543,172,776,646,005,623,772,206,551,
328,190,427,396,956,424,830,353,832,038,877,812,446,180,599,884,967,143,457,
022,214,945,378,792,776,467,867,639,778,269,533,584,640,268,648,075,043,739,
227,764,025,239,202,628,996,328,860,077,665,522,685,986,979,272,586,634,381,
959,367,567,913,090,543,397,672,626,139,642,849,595,030,958,951,294,443,523,
643,766,811,918,095,809,201,497,742,934,579,528,282,283,850,218,025,175,129,
945,659,809,501,637,108,594,764,580,099,620,473,767,869,811,075,696,440,554,
212,952,624,169,035,782,502,536,124,843,739,012,707,044,781,296,292,799,758,
523,518,228,989,417,080,694,452,234,275,718,836,211,903,248,036,740,784,704,
854,683,134,407,675,052,954,515,708,065,992,468,270,167,634,599,581,295,676,
293,797,119,628,184,512,769,375,666,724,318,223,157,891,342,521,600,601,974,
721,961,558,084,944,624,581,441,732,309,013,730,768,401,017,644,087,894,055,
962,757,532,885,893,743,902,715,523,569,183,826,294,502,756,347,666,252,419,
520,209,508,186,094,917,976,380,092,531,905,280,695,427,552,269,178,053,324,
655,382,419,461,739,104,714,909,225,108,835,455,928,959,291,407,167,510,761,
156,718,503,972,308,231,712,568,720,450,642,673,408,447,292,465,854,376,613,
738,353,698,946,106,033,011,729,665,295,670,483,453,130,167,961,663,468,573,
211,814,626,683,416,888,059,958,230,246,396,220,856,637,365,216,954,790,211,
316,085,379,455,960,316,143,053,116,983,729,263,622,535,299,590,331,899,217,
486,315,441,688,187,156,477,992,864,894,572,484,700,741,694,256,217,273,522,
781,201,958,640,091,839,901,041,833,220,612,953,602,593,359,099,472,152,047,
821,205,433,751,264,651,989,627,016,319,238,623,987,685,162,306,923,694,731,
025,707,717,200,822,894,094,764,139,730,532,941,313,799,669,667,615,006,811,
977,756,531,837,377,399,251,031,395,504,762,002,125,809,593,643,251,786,090,
667,863,759,148,659,263,869,290,796,552,824,092,621,806,679,656,605,628,624,
864,842,576,733,380,299,362,028,832,491,680,791,392,264,327,670,271,697,159,
920,481,458,995,415,066,993,088,697,086,321,084,468,070,216,368,223,263,902,
642,344,020,996,154,431,711,090,289,022,892,281,412,367,331,492,129,868,758,
479,904,031,675,485,430,574,800,767,993,212,757,697,227,357,768,360,977,683,
627,337,102,395,124,446,774,124,073,498,888,201,503,423,086,160,475,703,718,
073,746,379,250,762,131,423,390,918,454,569,669,556,445,599,936,059,905,922,
047,074,680,101,218,098,011,377,342,223,270,568,929,284,305,163,268,636,872,
068,763,197,987,366,226,075,473,404,370,615,795,148,445,356,987,609,443,070,
703,608,536,022,746,659,761,032,055,170,112,825,206,625,560,009,555,927,596,
799,423,385,982,233,306,079,874,384,055,980,047,641,455,250,258,860,536,790,
966,805,301,427,445,973,386,640,504,105,205,290,868,510,910,928,183,061,010,
331,921,149,844,530,720,765,877,375,913,682,533,248,196,530,473,277,669,613,
303,894,717,029,398,244,499,776,385,228,816,832,097,625,645,764,795,652,577,
642,406,814,921,785,573,074,009,046,353,713,590,550,580,955,390,383,386,729,
139,711,992,081,501,278,189,906,852,037,893,646,566,618,203,942,489,447,441,
040,999,779,073,841,759,822,885,364,103,535,163,723,286,677,309,374,908,780,
645,707,004,618,198,789,836,030,616,902,649,609,882,087,561,556,528,279,293,
170,561,544,696,297,566,358,999,997,963,380,004,867,833,651,313,089,254,432,
173,170,119,850,649,935,556,062,341,098,238,430,567,732,205,874,373,723,296,
666,019,460,517,350,741,941,601,563,624,968,398,469,884,615,882,721,518,718,
463,146,443,752,938,920,494,442,108,535,025,880,434,392,150,789,531,666,165,
399,173,388,849,013,192,540,665,555,729,817,025,777,515,999,459,963,812,676,
307,341,911,876,301,424,659,409,879,538,639,652,286,183,848,477,266,148,427,
697,913,319,246,713,424,111,153,365,617,493,868,025,820,585,072,877,855,824,
343,073,375,598,492,446,116,408,806,749,778,557,165,818,271,166,091,384,264,
949,996,918,249,175,552,035,690,502,464,438,398,164,569,498,628,540,776,363,
245,150,623,782,789,582,046,324,537,953,299,739,826,526,842,126,746,751,088,
514,692,168,066,623,732,976,290,129,611,994,685,577,574,852,611,992,352,122,
699,518,975,206,758,369,941,916,782,936,565,915,871,796,187,138,568,095,773,
940,667,016,711,753,146,363,899,107,006,069,586,723,268,819,689,725,270,341,
108,689,266,713,424,153,745,744,351,704,524,612,880,037,141,897,889,588,551,
064,806,221,479,120,042,802,474,705,311,762,099,724,432,765,637,176,682,496,
279,715,202,468,009,625,555,165,737,287,554,364,899,214,786,530,312,589,181,
891,112,779,369,681,774,985,151,966,296,152,426,348,391,920,589,921,034,414,
905,619,680,260,527,975,641,839,612,899,273,274,712,376,036,058,547,190,569,
343,755,723,525,210,410,927,957,383,910,742,008,925,668,183,393,352,831,803,
422,217,603,226,677,375,231,902,706,586,409,561,313,636,452,180,492,729,350,
275,267,288,335,527,442,736,487,681,431,586,731,797,026,972,373,987,913,500,
797,633,303,873,924,326,682,701,825,543,719,514,315,175,608,612,139,198,167,
315,344,599,255,769,935,401,555,877,960,429,551,496,436,426,652,765,269,527,
129,954,044,064,477,792,302,323,601,318,683,910,252,062,314,120,470,703,263,
936,113,130,479,989,001,224,514,021,124,575,916,021,104,659,347,660,083,697,
799,630,765,483,496,776,316,410,000,394,215,228,104,048,725,883,650,930,072,
321,106,743,149,563,069,245,340,650,871,716,360,769,829,611,415,556,417,032,
342,523,342,296,915,690,496,737,782,596,322,301,391,608,790,094,093,968,403,
661,267,467,512,816,610,863,565,197,274,176,334,371,237,211,976,808,852,384,
006,532,758,649,245,673,982,557,014,262,644,962,420,232,208,771,210,079,267,
945,657,048,870,669,912,668,318,493,849,833,251,874,838,039,537,067,310,501,
337,057,573,206,274,741,255,031,102,297,557,434,815,654,397,732,826,134,516,
777,909,039,894,671,318,831,320,920,931,276,932,603,338,620,988,782,830,477,
195,695,550,649,446,278,663,166,565,430,796,558,587,403,938,384,579,459,926,
407,421,773,401,227,281,378,926,103,480,746,317,222,672,021,583,358,401,942,
230,131,431,633,099,872,649,977,775,746,034,142,728,383,918,897,436,334,962,
487,684,332,785,550,569,855,936,512,307,852,446,199,017,673,923,499,002,288,
183,380,713,060,144,120,015,107,747,384,191,618,703,951,733,323,176,690,085,
570,495,288,792,335,284,941,290,575,573,780,488,074,620,055,512,258,851,700,
236,191,086,256,450,656,734,323,925,551,566,072,856,283,746,034,854,695,981,
948,923,961,238,225,779,965,175,118,832,253,048,455,887,036,414,695,590,687,
325,154,797,390,158,100,403,140,833,164,381,229,758,809,455,096,976,804,413,
321,413,708,727,750,476,970,905,371,074,866,030,728,831,001,871,956,332,569,
554,402,694,221,273,984,518,065,031,967,449,610,375,197,653,832,554,989,130,
335,863,644,151,810,874,151,172,316,507,031,301,866,140,787,942,051,392,340,
249,013,929,453,118,187,015,749,828,753,944,388,036,032,892,194,973,226,658,
808,345,062,621,933,570,696,055,499,540,931,612,807,716,162,647,834,582,724,
524,550,013,026,106,501,577,485,315,241,399,468,011,111,975,238,052,458,320,
091,753,290,925,840,955,535,397,083,976,150,989,683,697,662,945,019,362,599,
215,580,481,547,051,133,185,380,782,737,350,450,159,843,842,607,828,970,936,
611,608,811,138,850,323,002,798,862,454,328,757,054,042,641,060,583,030,211,
257,596,180,181,503,797,187,379,669,447,196,187,541,815,896,627,621,126,138,
002,524,742,243,243,711,000,503,916,535,224,893,539,162,131,722,208,283,965,
254,184,488,043,663,080,581,216,611,942,869,746,457,738,421,184,362,393,043,
558,104,814,924,449,239,072,627,928,685,452,607,811,220,846,022,461,146,082,
757,903,515,307,270,921,740,282,675,788,922,701,469,977,568,557,310,442,940,
451,969,792,407,091,358,344,357,615,261,059,979,639,431,084,556,658,522,804,
797,616,690,508,485,559,495,932,466,679,014,485,710,038,867,841,482,814,681,
465,521,281,223,154,826,696,010,081,673,894,250,805,763,494,958,204,029,255,
964,514,524,560,283,353,445,945,162,343,513,615,706,744,168,025,776,429,414,
278,161,726,029,504,367,692,279,578,876,103,580,049,555,422,187,169,994,940,
651,419,282,378,514,757,782,123,446,678,244,711,769,028,737,153,958,998,281,
408,202,190,574,098,744,200,834,547,908,077,116,141,932,969,172,485,803,671,
943,492,673,041,622,303,029,606,734,614,321,897,402,356,811,982,642,583,803,
094,234,354,022,809,960,275,159,876,855,388,114,039,482,910,429,535,348,618,
142,084,920,050,099,772,620,448,170,564,699,770,501,772,358,742,410,355,015,
233,395,684,153,092,870,909,850,390,038,746,741,784,549,196,497,074,784,749,
870,728,320,828,629,396,963,316,347,468,713,387,692,018,509,331,535,984,967,
932,756,624,593,031,668,257,530,094,607,554,301,147,105,894,064,559,121,894,
643,735,492,254,010,266,732,352,131,251,924,905,115,929,182,263,004,198,974,
679,059,753,520,116,131,957,744,159,705,468,422,596,571,951,403,407,565,681,
873,894,411,206,912,370,865,598,550,920,668,187,254,207,044,706,809,267,792,
751,562,619,306,739,061,480,881,062,645,483,212,801,293,464,249,181,926,680,
320,029,232,690,354,364,875,000,248,045,856,193,526,193,546,529,378,926,189,
443,406,059,201,321,372,359,196,657,858,224,548,567,952,106,507,847,610,059,
123,192,451,283,686,548,382,530,788,849,230,354,280,651,996,883,086,466,756,
757,653,046,024,915,811,566,093,637,414,206,842,809,025,964,903,647,856,773,
891,133,557,975,939,683,866,693,854,060,325,595,499,317,545,058,283,050,914,
893,556,616,712,668,939,881,340,811,448,453,733,165,262,228,882,194,448,869,
958,988,222,770,669,366,719,871,741,268,241,892,866,199,822,299,366,537,002,
699,062,309,521,671,196,985,136,735,103,577,263,499,979,961,866,195,627,180,
406,204,318,233,326,251,421,488,114,887,367,781,480,223,995,402,477,268,156,
163,955,663,917,139,109,921,740,421,757,549,296,205,964,474,152,392,749,910,
809,200,017,039,400,820,186,945,888,412,019,986,150,817,869,130,986,313,277,
970,595,474,885,812,941,183,309,331,973,206,080,486,120,339,084,169,509,123,
116,440,177,453,709,909,705,836,661,280,499,030,759,315,971,373,335,346,193,
965,663,357,621,809,028,373,607,526,968,491,084,171,219,413,069,755,490,065,
575,813,080,925,565,542,750,497,082,271,160,869,475,588,650,096,682,062,702,
359,475,700,756,401,304,748,302,122,638,087,898,019,240,586,574,667,526,848,
785,641,483,854,024,101,204,319,824,756,106,933,653,515,751,112,004,023,952,
310,674,506,222,123,752,590,400,943,912,024,908,906,974,566,526,259,381,083,
545,788,522,795,612,656,163,676,041,260,369,044,016,468,598,859,105,670,737,
197,415,993,707,096,627,165,301,780,462,683,746,599,475,345,688,595,150,547,
554,239,722,226,557,812,015,741,338,715,999,156,516,787,089,770,153,483,191,
769,044,168,881,386,992,581,514,073,301,814,301,524,915,727,241,971,978,902,
686,377,681,412,577,612,609,262,192,941,734,166,838,055,076,862,335,632,612,
904,528,200,775,535,381,020,257,237,756,035,476,820,967,582,580,826,358,034,
962,393,753,644,940,607,888,797,645,589,531,291,468,554,415,824,697,972,335,
566,682,646,226,634,066,117,277,598,860,395,330,278,894,407,794,564,772,844,
724,239,544,881,747,494,653,337,670,081,207,089,143,039,139,398,115,281,911,
220,924,791,907,925,983,798,333,894,566,185,976,893,778,993,305,693,497,935,
361,820,271,552,822,196,892,116,239,170,062,348,206,974,841,097,830,225,824,
326,422,951,827,969,052,529,501,724,865,611,892,843,171,621,347,310,160,932,
722,019,609,375,927,587,328,277,756,663,028,260,929,106,932,140,626,056,957,
667,817,026,179,916,695,403,854,721,143,709,264,350,201,505,563,984,395,484,
853,595,202,074,563,292,812,439,527,257,766,356,226,142,670,371,951,017,050,
801,473,548,477,359,068,975,351,706,434,494,565,923,717,720,207,678,476,475,
257,233,533,673,591,684,447,029,366,871,619,096,791,298,416,893,718,685,556,
466,347,541,544,666,574,773,788,742,194,026,860,762,938,628,939,370,276,811,
284,488,733,737,278,439,026,755,127,194,433,954,085,528,767,682,995,399,378,
079,054,708,248,212,485,037,116,023,642,549,030,510,071,374,044,168,756,256,
007,977,202,749,042,123,438,329,045,728,611,989,995,961,156,314,261,370,884,
171,573,080,318,364,313,202,513,926,043,837,321,402,878,771,626,649,613,722,
276,695,253,687,566,428,512,039,742,642,656,798,916,283,490,477,083,301,466,
524,339,470,719,014,016,674,545,450,541,516,357,693,953,580,093,178,744,400,
556,665,262,541,846,476,989,540,541,175,283,305,363,444,598,227,783,358,291,
815,478,214,078,187,929,658,843,946,222,369,016,664,666,860,548,002,102,493,
495,300,116,082,506,534,787,674,156,414,186,273,264,312,217,472,552,729,806,
113,616,165,373,782,628,493,341,488,657,364,694,322,177,862,491,276,617,021,
369,656,114,256,480,806,544,552,310,969,650,724,182,292,526,686,806,049,438,
243,427,938,813,968,673,232,008,779,673,689,146,509,691,220,390,109,834,486,
716,743,785,316,115,605,086,161,521,378,243,792,874,421,466,064,801,811,086,
188,351,402,081,211,298,391,495,277,687,152,807,911,952,413,777,834,301,938,
441,327,774,930,142,254,361,699,936,168,600,625,131,742,180,216,653,638,639,
887,851,364,665,097,197,162,134,395,820,049,487,804,557,149,080,219,901,650,
114,481,560,724,338,056,001,668,726,072,251,573,845,802,523,734,586,133,685,
026,430,263,377,903,470,203,164,156,453,195,329,408,288,469,811,714,857,563,
224,038,605,158,336,589,915,678,662,510,348,289,240,182,205,574,226,311,646,
009,090,880,837,564,692,152,639,922,331,976,082,240,602,213,013,128,646,749,
015,579,735,853,871,672,339,039,828,288,782,827,705,511,143,122,143,410,241,
934,603,351,962,489,135,044,911,277,887,310,806,223,943,335,854,993,881,358,
000,972,815,243,239,332,221,224,472,638,583,508,842,834,404,212,275,675,797,
155,671,075,983,733,113,149,250,320,460,180,409,558,419,104,410,096,521,797,
420,362,780,326,821,749,109,571,122,262,797,921,579,121,912,177,201,459,641,
553,936,140,311,431,887,653,785,249,633,340,295,032,795,605,378,728,821,343,
047,506,957,851,645,302,582,979,056,211,438,854,496,346,564,261,673,432,702,
899,350,422,115,463,213,590,127,039,138,413,040,844,675,192,792,813,180,012,
448,316,432,700,176,413,785,128,741,457,360,483,492,445,488,963,653,165,043,
963,157,220,356,350,659,441,760,698,938,490,935,018,536,860,134,682,847,249,
254,978,659,254,631,081,633,062,327,086,567,541,735,023,184,783,474,753,796,
121,215,274,099,880,588,646,023,246,253,676,623,489,509,678,246,099,205,943,
000,049,983,905,143,955,279,676,921,275,987,666,533,236,052,724,163,775,119,
334,694,552,655,297,822,802,742,639,807,410,247,856,050,772,955,209,602,657,
755,080,839,930,933,571,232,196,280,312,971,627,356,173,520,046,147,500,536,
189,538,362,777,455,450,838,518,753,797,277,773,182,938,948,676,900,342,383,
502,126,604,938,152,284,752,775,770,005,854,139,683,984,278,251,054,010,649,
478,752,271,276,687,027,662,705,648,290,697,815,885,690,493,659,750,566,521,
588,009,274,719,057,138,346,717,823,244,279,091,453,342,126,303,611,332,863,
994,480,708,501,714,705,128,906,888,912,413,961,214,668,961,692,461,758,015,
219,420,645,302,806,767,359,803,856,616,890,138,091,566,817,623,747,038,383,
307,449,016,961,002,390,375,653,535,480,782,306,077,429,621,068,201,557,393,
382,665,826,630,680,176,762,930,967,780,842,800,191,741,400,423,830,228,865,
898,907,247,223,906,266,420,425,252,381,154,463,276,842,894,101,961,045,976,
644,930,097,067,604,849,521,187,645,076,324,587,112,125,082,849,112,588,426,
558,174,763,067,923,819,173,773,178,751,890,199,971,619,995,658,236,035,304,
654,486,203,090,381,674,017,579,891,339,200,181,803,943,584,029,514,694,760,
100,788,134,293,243,332,675,072,867,388,973,812,292,175,574,093,464,291,067,
917,948,012,415,287,870,794,462,874,494,160,114,193,041,502,100,029,103,699,
360,064,911,458,890,687,697,122,652,088,485,408,819,523,166,988,265,037,374,
656,126,620,770,770,118,051,215,128,010,038,604,538,079,479,558,541,607,727,
265,023,426,409,867,989,537,972,259,508,903,044,835,957,094,392,034,993,123,
154,596,631,256,793,389,046,061,051,700,587,885,081,420,192,680,865,095,016,
656,737,589,760,211,538,260,214,107,572,836,095,050,433,526,505,016,148,749,
634,733,017,948,063,660,809,576,795,878,856,166,880,952,541,008,540,957,899,
551,348,845,217,489,082,632,933,410,504,566,929,596,281,494,389,345,469,342,
596,885,282,945,684,647,309,575,783,012,172,854,271,676,540,526,002,318,444,
455,754,592,898,427,647,190,575,203,119,777,853,349,774,262,630,990,182,357,
453,528,824,860,090,641,347,933,655,514,852,998,614,285,366,570,262,829,695,
597,638,151,596,829,307,535,640,467,267,190,193,777,958,350,140,607,525,998,
266,802,763,520,359,117,935,639,119,235,654,983,308,122,809,832,637,458,442,
714,212,718,791,056,755,781,243,134,142,692,714,640,054,154,147,637,346,131,
565,180,286,206,720,249,647,074,806,874,992,811,768,184,010,404,914,842,633,
690,498,320,971,747,285,966,162,164,928,396,790,820,479,298,542,794,516,711,
400,901,203,945,435,363,846,427,689,635,264,399,698,404,494,709,883,831,090,
368,524,921,174,752,827,715,063,134,916,323,779,697,604,566,295,045,690,339,
474,990,952,430,069,806,404,777,350,963,268,311,822,573,218,238,693,333,522,
248,246,498,402,145,758,910,712,126,230,740,355,070,846,757,451,648,335,225,
832,180,085,576,231,911,404,482,790,435,884,127,026,614,248,702,451,957,392,
877,283,830,672,817,219,497,121,073,384,762,922,951,215,892,292,307,486,724,
929,076,023,285,496,628,901,893,499,406,599,903,335,786,748,356,734,109,894,
463,652,540,667,641,857,193,526,513,515,376,881,376,702,084,004,396,803,667,
691,776,478,986,848,803,306,153,235,695,949,686,938,445,427,598,105,935,219,
645,684,160,639,809,243,066,673,915,700,705,799,766,867,251,520,273,664,686,
112,314,502,234,116,037,975,234,090,580,839,848,614,189,825,268,370,055,135,
986,300,553,502,716,127,767,918,543,008,029,113,405,900,064,636,741,661,600,
877,090,469,977,484,155,997,467,073,619,122,414,916,495,772,839,029,024,068,
465,222,582,990,354,640,935,534,692,547,442,823,073,730,092,061,249,049,369,
912,713,181,169,345,772,864,853,336,950,783,150,178,265,775,055,589,185,172,
355,211,696,181,482,951,533,218,461,294,101,723,026,099,405,252,258,647,801,
625,575,309,530,743,586,479,722,664,674,359,582,482,481,034,537,055,937,218,
834,219,946,397,770,733,182,807,378,215,248,494,324,280,263,889,035,604,089,
191,543,882,087,104,836,467,032,411,940,660,037,691,085,317,476,487,901,048,
657,761,827,681,787,766,941,230,756,812,086,416,718,929,575,759,112,022,541,
028,726,838,681,917,210,866,501,209,793,157,754,323,583,552,217,297,227,744,
955,489,474,383,947,717,993,702,065,985,562,262,844,193,177,894,884,935,619,
815,052,223,950,390,728,692,519,251,660,626,464,759,385,275,270,118,294,963,
772,024,565,732,762,603,175,602,243,206,829,617,579,132,208,103,626,492,731,
160,583,597,755,571,293,441,672,990,077,523,740,404,846,175,376,164,687,195,
654,304,418,638,855,957,181,640,410,687,439,060,820,385,056,623,015,140,881,
688,268,281,884,571,890,167,022,555,199,011,639,459,058,940,204,744,189,087,
201,614,185,952,208,761,215,073,622,517,747,573,830,684,405,478,937,967,622,
270,803,373,824,718,936,547,595,138,305,515,480,089,292,285,086,561,614,661,
533,730,337,418,270,341,866,643,444,598,242,042,699,948,423,118,381,997,334,
009,024,733,866,747,108,124,869,794,754,919,490,621,339,294,257,166,453,738,
013,875,194,526,585,930,429,540,640,362,670,466,870,928,827,401,910,620,571,
384,720,491,680,569,902,617,596,024,659,424,973,302,071,076,823,123,235,185,
183,825,964,430,907,309,875,828,186,042,887,026,200,273,464,174,540,451,514,
444,160,629,544,647,542,105,776,487,135,603,517,266,113,464,301,148,648,415,
385,969,781,843,722,038,094,974,299,190,691,572,818,578,694,595,027,430,272,
662,067,142,518,458,493,353,178,028,002,961,996,787,207,003,259,595,094,616,
790,356,330,043,236,966,354,260,771,560,279,046,726,559,451,040,312,548,869,
601,087,837,662,893,613,483,155,683,277,444,682,488,108,253,602,953,060,735,
278,994,495,418,420,909,818,207,923,344,084,724,614,832,519,410,749,565,440,
112,123,604,234,770,043,326,184,091,669,988,377,347,092,645,754,524,953,832,
595,994,715,404,972,289,440,494,821,713,247,350,285,457,657,937,175,210,103,
630,504,497,148,104,803,428,331,330,706,076,390,184,263,168,093,089,251,313,
025,967,524,462,905,622,224,230,320,498,552,361,879,797,007,488,499,468,704,
945,028,765,053,902,285,444,251,381,818,962,946,656,122,188,036,230,175,959,
873,709,229,597,782,776,997,426,898,564,995,103,092,827,778,424,276,362,558,
414,738,666,570,419,704,196,088,220,846,002,994,405,850,919,999,950,061,267,
828,829,411,918,062,620,365,413,282,888,408,326,891,469,132,940,672,538,399,
119,192,956,517,089,894,437,775,484,996,604,481,710,807,261,059,797,462,613,
869,769,166,338,525,032,380,136,873,752,415,217,395,025,771,112,634,491,072,
230,123,151,394,138,761,692,124,407,180,045,247,592,386,378,055,529,452,494,
243,377,365,847,862,602,768,409,408,343,071,491,837,260,662,963,164,835,130,
836,594,244,216,694,577,107,470,061,686,878,418,974,178,318,485,659,821,253,
275,811,904,635,971,496,053,653,922,452,996,668,702,915,907,659,215,142,667,
571,721,946,559,968,043,344,535,251,632,252,553,200,619,294,440,022,158,772,
197,739,363,235,558,918,270,923,621,625,351,836,485,676,180,815,384,325,167,
433,332,726,628,951,490,089,139,678,031,860,919,626,581,042,060,536,737,818,
708,262,732,304,618,906,845,623,650,901,594,353,989,469,704,227,831,508,797,
579,985,052,559,892,680,014,178,641,008,168,518,083,632,878,735,017,604,536,
861,888,653,271,557,642,997,982,135,263,274,241,170,618,005,774,971,030,353,
058,706,747,324,122,646,029,385,267,227,881,288,097,222,429,157,765,143,234,
525,438,513,594,542,332,506,461,880,218,731,717,705,961,655,926,381,106,393,
933,145,399,729,563,728,978,365,952,394,583,974,041,473,549,704,683,587,180,
088,074,551,004,261,200,056,619,265,600,699,981,295,017,543,714,107,101,878,
924,570,880,669,904,076,631,948,467,517,657,015,364,472,282,861,692,439,392,
945,006,969,111,025,037,436,903,884,478,967,542,303,092,563,193,124,827,419,
860,873,717,085,453,763,846,058,492,195,703,062,945,865,943,357,522,034,289,
210,658,959,253,627,655,186,426,831,739,375,735,421,917,448,584,809,266,140,
036,017,650,157,855,499,607,873,080,462,002,340,230,313,804,518,567,965,998,
875,381,101,051,507,414,599,491,952,169,408,400,658,408,456,623,202,991,009,
323,794,201,550,044,538,740,448,102,599,636,393,626,202,620,537,905,399,530,
394,660,519,246,368,459,315,304,534,178,809,082,649,723,591,440,656,485,926,
877,099,200,187,142,155,382,667,471,360,644,048,303,116,173,660,495,776,326,
480,625,408,374,446,845,806,513,472,604,200,878,049,823,084,765,957,543,556,
926,918,267,308,035,424,808,953,612,387,070,588,960,999,430,114,619,463,499,
678,101,490,410,312,335,563,692,825,952,590,830,551,576,214,016,279,505,954,
962,517,611,134,102,597,782,558,643,247,363,322,614,364,901,544,470,961,421,
199,687,637,550,991,418,772,583,224,005,855,542,014,388,237,122,405,422,179,
428,830,315,952,917,598,490,580,657,995,201,851,497,730,828,763,600,942,854,
364,901,622,459,720,547,130,203,472,259,174,790,220,951,117,198,397,328,615,
799,267,921,231,445,150,263,497,562,395,994,751,270,781,107,232,111,212,766,
189,139,999,000,689,187,986,183,806,716,769,525,218,033,832,545,165,017,437,
929,059,566,708,444,733,654,716,919,977,536,511,037,568,865,485,506,284,702,
643,324,483,729,786,082,128,544,586,645,111,530,867,808,366,752,406,991,680,
616,074,703,736,242,082,516,769,573,545,854,256,420,627,606,211,478,242,691,
846,053,539,039,128,072,823,583,701,674,902,405,334,737,518,554,914,735,004,
292,610,136,526,681,489,663,228,424,885,228,114,732,893,155,039,931,098,151,
122,021,697,526,378,962,094,214,421,969,315,238,981,827,761,091,644,549,930,
754,777,482,244,372,649,286,036,332,806,762,486,752,226,210,282,314,391,070,
291,411,366,452,141,988,341,332,105,260,934,618,208,947,256,812,459,076,133,
175,762,675,523,423,863,730,400,532,126,071,892,008,232,867,481,217,750,129,
342,168,231,389,773,640,313,701,781,716,776,031,875,824,249,594,649,624,723,
765,465,951,446,189,782,665,228,379,255,188,127,417,491,008,087,321,352,135,
404,146,444,442,322,122,430,864,300,682,449,621,446,669,760,273,926,091,764,
061,211,711,217,226,159,703,065,904,259,808,989,759,158,832,656,208,707,445,
719,342,584,693,003,870,667,617,241,298,771,477,784,580,447,094,721,133,378,
385,178,109,441,405,636,402,659,158,841,085,974,928,967,547,767,355,781,002,
881,135,412,880,278,836,133,673,086,268,439,966,577,010,356,579,208,945,057,
123,345,912,557,887,138,976,893,958,698,688,587,848,826,153,880,192,709,856,
320,472,923,995,311,207,677,896,745,387,090,144,357,328,372,236,295,918,974,
737,540,037,877,533,755,700,296,619,006,831,487,793,164,191,004,219,214,971,
780,784,858,708,607,462,255,448,713,082,228,808,581,047,438,966,131,080,015,
228,045,596,839,083,113,031,351,388,028,454,189,715,002,964,062,393,470,724,
786,325,638,587,838,847,168,374,295,249,210,872,687,323,957,579,703,032,206,
930,265,867,008,245,472,333,797,414,281,025,243,257,719,846,116,997,004,855,
851,689,310,433,303,856,019,754,567,456,856,701,987,305,740,362,882,682,354,
543,781,482,963,695,687,008,823,543,202,581,156,671,418,871,130,309,174,290,
460,390,884,563,338,447,524,770,239,958,885,027,488,166,682,401,166,649,589,
866,407,171,322,260,973,657,650,301,443,938,610,643,393,432,093,721,399,354,
168,439,663,381,783,791,095,880,710,047,759,728,646,699,504,553,614,264,206,
262,212,554,361,091,289,182,582,192,640,685,948,018,768,261,215,600,495,009,
581,757,776,407,110,112,821,682,936,344,633,578,930,432,600,364,471,049,964,
128,244,051,419,043,424,548,583,356,826,571,880,825,897,627,449,912,097,488,
064,207,360,921,567,584,801,833,079,108,268,314,702,033,297,484,394,896,924,
068,517,277,775,785,064,460,813,472,601,354,553,950,368,371,444,329,856,290,
616,109,577,732,176,747,705,988,834,550,821,517,571,031,403,264,187,886,318,
663,582,775,594,902,095,417,705,882,453,384,765,108,955,451,349,862,434,397,
354,696,203,454,384,583,252,722,964,021,368,057,305,628,246,088,787,446,072,
234,502,861,678,853,839,532,038,927,743,739,244,599,286,344,694,075,207,967,
648,849,129,821,430,101,983,999,780,177,351,029,644,461,807,901,359,348,776,
347,016,984,294,097,702,374,741,670,846,426,142,368,349,633,660,484,959,937,
050,053,871,920,920,671,298,635,513,539,667,758,761,487,289,443,055,424,210,
753,568,951,796,863,719,806,995,841,485,743,257,928,252,785,509,063,248,931,
194,963,537,330,616,521,897,535,224,370,757,753,540,262,961,182,161,835,919,
564,253,786,904,981,176,161,660,922,950,571,520,941,116,515,787,365,277,127,
137,730,826,535,304,386,106,659,689,899,394,266,599,515,822,157,784,065,980,
293,032,539,434,600,443,823,922,923,787,497,278,924,787,225,789,884,206,248,
268,650,319,880,527,028,898,773,746,258,961,517,066,518,941,420,904,834,279,
828,779,375,916,536,643,067,939,614,047,605,776,604,046,069,800,469,689,326,
279,730,033,174,219,508,513,894,496,141,498,978,771,769,837,348,381,609,607,
980,175,915,768,756,358,660,695,260,734,742,696,611,644,071,144,883,024,075,
648,438,358,623,656,578,873,757,718,775,416,520,747,678,219,310,108,939,387,
271,698,674,347,550,990,157,752,937,290,537,365,492,426,619,341,969,255,054,
509,496,727,735,326,652,760,101,225,929,243,825,131,016,282,695,009,030,604,
422,542,450,508,728,350,896,112,478,749,100,964,416,417,267,551,524,754,298,
542,871,387,759,365,547,154,704,386,963,273,628,158,264,482,846,764,928,839,
243,914,025,300,220,201,667,724,195,062,761,274,415,416,133,459,709,422,108,
093,909,206,726,010,076,015,871,622,872,480,758,804,116,340,383,192,437,262,
636,002,025,209,273,950,098,278,869,143,417,840,870,365,084,526,605,267,750,
914,131,527,317,864,273,923,388,682,391,715,389,933,254,602,862,518,739,030,
995,942,545,938,081,169,803,443,715,927,179,573,515,057,471,542,486,441,748,
529,957,707,664,581,134,695,660,834,653,952,185,784,797,978,870,699,396,313,
112,363,565,570,995,690,676,774,650,766,931,119,527,977,949,327,928,685,372,
584,744,521,377,701,076,520,316,673,933,896,983,004,336,000,810,555,653,629,
339,002,686,864,005,408,865,404,548,807,682,641,040,323,725,990,917,048,512,
829,662,335,818,333,678,218,976,320,560,001,589,536,938,529,515,876,181,021,
213,501,938,208,375,992,322,521,107,913,975,325,143,961,900,260,106,130,195,
022,940,001,330,424,256,011,997,210,426,576,023,209,552,967,259,161,236,967,
670,857,399,628,405,029,969,604,052,206,936,874,434,058,409,441,627,864,035,
908,742,148,110,429,346,451,627,263,837,511,929,748,828,616,743,461,931,564,
499,234,442,338,674,363,799,072,000,771,502,033,276,257,962,947,084,139,855,
717,985,021,519,414,079,592,617,158,853,825,521,816,392,346,477,662,490,186,
048,616,076,419,359,660,021,607,202,045,576,095,555,548,214,652,605,675,656,
496,969,738,613,033,486,723,236,847,893,535,242,992,606,780,914,029,158,562,
969,134,366,251,470,539,189,065,480,598,550,323,184,939,138,548,432,556,927,
294,721,456,962,783,233,484,185,417,911,185,380,734,019,537,892,478,340,213,
981,646,711,480,495,599,093,594,216,940,375,613,939,810,087,106,630,636,414,
838,236,655,156,955,585,348,194,735,189,678,446,844,851,320,863,015,254,772,
035,810,290,941,318,622,815,653,531,953,220,751,754,708,960,157,282,832,844,
905,304,410,433,797,593,832,339,569,240,236,074,772,442,317,412,222,943,752,
702,789,794,904,115,593,002,229,610,392,200,599,306,480,650,806,420,724,060,
656,558,059,227,776,634,791,231,587,901,107,622,472,890,433,100,810,393,357,
198,910,068,857,257,292,605,960,453,234,297,436,945,342,349,153,781,045,635,
094,599,435,797,430,586,736,080,874,583,140,529,961,364,074,529,989,332,976,
788,124,396,153,277,238,955,215,305,222,649,420,189,299,402,372,580,767,646,
736,496,014,008,028,064,148,684,823,420,043,653,041,221,705,136,476,679,933,
664,643,201,154,176,500,125,884,128,190,143,771,754,646,703,008,839,296,434,
412,869,032,508,430,804,945,286,426,222,751,003,899,993,574,986,622,489,124,
080,784,963,039,589,738,213,682,457,251,610,739,333,709,869,881,423,240,529,
055,386,295,179,305,745,362,087,763,619,938,014,466,580,254,842,672,415,039,
124,519,454,955,734,918,194,670,459,018,856,651,538,283,706,143,728,713,815,
160,269,732,318,605,672,510,287,397,394,130,677,577,831,391,187,175,977,728,
643,227,361,608,901,455,234,430,342,818,739,739,920,787,001,135,871,841,739,
999,844,937,419,668,048,547,067,579,792,065,926,690,535,920,118,062,367,939,
928,602,373,894,908,169,060,048,396,191,062,477,941,481,011,041,241,510,760,
583,704,216,542,775,899,616,198,461,845,358,561,993,240,731,715,253,642,589,
560,313,371,248,435,343,693,528,040,210,403,031,237,409,212,319,221,187,609,
391,359,824,642,068,025,950,021,758,806,882,627,230,904,213,674,464,124,358,
785,340,394,292,469,420,897,962,559,539,348,083,026,342,750,830,546,177,770,
742,533,267,330,266,297,937,793,132,335,798,511,701,349,249,069,709,638,707,
870,190,398,454,923,309,354,608,902,368,761,277,169,142,314,123,898,380,469,
266,913,914,476,768,577,927,776,922,543,723,322,487,422,515,589,362,646,040,
035,768,229,463,760,246,285,830,228,143,621,338,038,178,475,873,214,639,971,
585,940,421,657,166,854,339,842,999,426,450,548,647,350,030,881,403,893,591,
270,998,297,710,720,040,671,911,432,052,701,497,298,744,425,917,103,549,902,
634,515,072,933,494,317,410,212,491,593,911,379,487,066,244,923,367,690,331,
381,095,772,743,842,890,035,839,342,090,403,723,887,665,748,181,627,765,809,
977,172,321,726,114,843,934,015,701,692,540,631,485,746,099,037,815,543,983,
017,215,965,790,538,055,519,872,392,949,666,753,304,012,880,993,040,928,127,
903,964,738,453,124,912,467,090,012,528,325,863,226,001,676,306,410,876,275,
359,840,467,660,057,655,579,641,489,228,827,842,962,521,189,375,733,343,509,
257,487,135,907,344,498,518,500,947,469,184,195,460,582,370,708,733,828,436,
905,375,399,195,473,173,759,421,354,702,573,852,624,106,380,260,073,289,016,
775,374,731,529,335,037,666,250,192,544,057,274,441,759,730,878,116,745,552,
516,526,709,292,458,803,261,407,815,367,807,844,056,022,393,728,935,026,711,
109,118,398,205,513,043,342,030,557,338,944,264,498,005,240,161,818,047,480,
467,648,035,773,619,828,644,686,253,911,007,650,491,449,015,325,501,391,390,
845,686,079,594,605,600,748,561,672,604,811,433,560,455,203,268,914,233,953,
526,240,712,281,138,200,678,402,406,523,782,559,902,696,025,385,363,293,198,
321,238,124,103,813,452,733,097,367,549,884,468,938,828,339,468,894,177,559,
841,249,658,705,603,569,650,919,138,872,349,664,508,422,155,158,676,227,695,
803,482,078,387,309,652,271,643,834,820,811,099,386,399,280,124,826,275,295,
206,160,528,344,228,889,565,464,519,689,943,561,205,723,616,666,060,710,853,
516,343,268,523,590,381,678,195,551,702,583,137,146,530,372,780,952,395,424,
295,652,118,325,181,162,788,822,505,583,597,314,062,220,613,017,959,495,347,
755,265,853,616,887,129,642,479,031,147,771,517,938,309,326,332,723,072,553,
444,607,781,752,546,641,903,000,805,350,916,493,283,181,204,213,374,277,088,
204,087,821,178,558,218,914,852,391,742,165,558,720,098,109,445,899,336,750,
059,367,345,675,570,909,667,622,391,369,959,079,267,145,795,548,943,465,165,
151,324,685,953,317,842,733,404,144,143,521,937,189,128,700,281,825,381,129,
415,056,759,213,224,646,037,743,574,801,968,935,306,750,206,831,308,332,155,
703,928,945,302,879,545,669,651,056,100,751,558,121,096,017,114,457,438,951,
831,343,658,261,802,275,702,900,444,603,326,204,207,370,575,301,420,587,791,
361,966,164,911,488,134,961,055,111,137,626,704,203,397,165,597,683,095,219,
750,167,744,377,678,310,563,182,720,240,497,994,222,327,091,177,332,884,205,
890,205,672,893,563,297,880,875,653,610,435,056,241,138,945,277,401,316,989,
989,016,689,440,749,855,210,266,298,350,881,927,305,390,606,530,077,057,628,
257,566,141,756,236,692,937,118,291,385,610,129,718,856,425,177,643,067,637,
617,429,005,305,599,887,361,811,077,283,692,994,470,079,939,539,594,626,905,
734,826,454,264,444,626,729,214,726,231,509,200,126,966,979,935,349,021,792,
540,052,840,768,156,967,959,722,664,247,431,647,913,989,214,015,197,602,770,
210,334,308,848,818,524,383,101,676,757,042,874,309,431,316,786,490,832,757,
633,036,017,763,573,660,999,247,832,229,403,442,362,530,259,387,447,151,284,
966,851,486,595,664,924,985,558,788,068,434,200,492,496,176,294,863,240,371,
191,813,011,441,711,889,212,781,078,846,736,753,492,345,760,792,142,321,843,
024,697,039,175,072,774,589,215,670,879,617,993,876,873,670,318,157,589,850,
716,300,126,360,983,777,700,535,780,554,269,439,421,814,803,185,440,766,743,
881,837,687,924,617,626,904,900,414,322,884,845,146,484,120,392,688,815,745,
046,622,416,039,261,065,431,275,056,959,270,720,035,301,816,872,205,077,003,
136,803,896,752,895,876,979,456,905,882,598,055,480,246,834,570,247,958,514,
634,640,264,383,544,194,697,690,978,300,271,082,358,952,033,979,770,205,891,
887,388,336,587,247,344,244,485,143,196,639,556,795,240,645,889,364,120,968,
295,614,389,855,310,405,815,327,924,624,802,485,684,541,205,305,850,210,184,
735,771,431,506,360,441,868,903,946,642,559,809,476,776,571,687,089,367,909,
136,114,243,841,601,592,739,118,454,683,163,090,606,416,373,881,806,077,004,
636,872,715,750,128,664,804,918,874,212,658,536,528,688,499,160,436,683,216,
717,948,385,023,984,600,770,623,429,018,206,827,946,498,837,300,898,306,728,
582,374,959,394,387,610,878,069,785,193,759,533,855,459,251,024,031,265,541,
730,539,030,053,918,046,476,518,242,091,874,765,687,175,571,945,209,735,778,
307,154,812,575,545,691,269,718,692,521,729,625,912,651,310,870,721,065,383,
649,891,800,824,287,857,106,344,494,461,397,985,619,107,058,070,773,929,610,
959,314,554,623,445,366,775,628,868,185,687,423,497,218,611,212,469,598,147,
719,447,044,277,533,107,326,269,308,400,712,054,345,385,588,113,552,467,974,
433,050,694,071,687,785,385,858,279,895,199,970,700,574,165,903,685,550,251,
319,212,528,565,063,973,073,355,291,435,308,300,566,518,924,647,273,150,263,
158,419,888,104,769,238,209,915,522,915,754,172,346,830,262,693,402,031,720,
564,019,182,151,694,187,489,685,966,876,379,551,856,309,275,174,773,541,212,
226,491,362,513,120,123,821,212,941,245,199,386,404,118,654,629,860,362,938,
173,737,457,852,791,490,947,798,600,717,800,585,422,856,676,665,422,798,659,
213,384,189,689,691,959,538,068,569,945,185,590,775,541,503,249,007,132,527,
644,999,136,989,234,143,990,166,850,585,662,964,647,067,813,046,810,829,425,
631,674,677,999,198,980,965,020,214,374,252,670,256,932,525,110,310,309,753,
398,389,810,853,096,248,645,772,940,959,158,357,514,745,936,529,079,344,717,
789,072,668,154,110,178,037,953,148,386,838,227,303,287,011,512,275,132,422,
209,325,954,588,900,990,496,174,557,742,383,164,131,168,326,741,105,007,471,
065,493,351,042,542,418,119,112,190,125,884,868,474,071,818,157,665,739,222,
239,708,642,334,851,929,444,072,249,015,103,050,277,387,123,416,292,632,382,
274,937,935,480,148,937,311,698,989,724,384,839,765,302,504,582,668,132,668,
458,548,800,245,298,580,012,639,758,207,393,698,894,005,207,348,441,583,902,
580,132,672,936,244,558,543,563,532,574,802,257,500,590,502,668,367,138,475,
760,152,283,886,058,493,307,779,135,041,305,344,271,190,640,690,184,094,298,
869,066,151,634,875,091,080,321,929,885,233,632,470,552,847,807,432,268,439,
896,110,941,945,947,347,706,384,015,611,455,333,471,504,304,352,401,631,016,
461,422,962,045,687,480,349,135,785,497,243,231,722,559,114,625,285,888,015,
610,846,122,776,955,744,442,201,729,180,226,656,588,967,125,507,992,040,069,
856,946,176,654,489,316,572,360,197,051,693,456,118,820,465,583,987,543,410,
735,416,383,213,266,395,166,200,335,486,390,035,110,267,568,607,154,069,375,
025,087,078,037,400,922,549,030,781,722,231,321,029,069,329,356,588,832,622,
670,282,414,908,467,879,251,509,507,293,275,398,785,113,716,008,469,527,910,
308,517,052,451,591,938,904,592,886,410,209,969,722,697,380,590,853,009,589,
250,963,842,369,273,271,782,932,417,118,135,787,543,088,678,183,201,380,512,
960,964,354,038,744,812,610,130,780,580,942,800,136,281,732,771,229,131,044,
508,649,759,232,178,074,914,806,625,556,317,823,365,496,423,985,643,222,512,
185,285,661,965,769,083,745,553,672,476,424,690,326,121,498,639,489,376,474,
151,348,309,353,641,900,817,401,777,541,518,837,082,017,958,896,616,944,605,
831,299,003,633,507,131,437,084,244,190,504,579,634,906,118,184,410,942,568,
371,729,016,128,714,161,300,574,144,348,656,809,312,181,914,727,382,554,981,
423,725,462,346,883,991,919,554,509,504,532,321,120,077,155,645,460,837,073,
536,288,345,658,744,621,838,463,668,335,170,693,173,364,913,596,641,743,875,
266,883,472,179,428,359,477,222,127,089,650,079,912,062,315,144,120,988,415,
038,419,133,704,161,972,062,343,280,420,881,120,160,445,718,905,754,213,070,
977,749,104,521,627,013,050,162,172,978,071,522,749,781,038,789,057,601,923,
421,385,230,537,638,713,955,778,523,318,677,901,236,024,681,479,855,194,376,
931,869,526,995,864,382,064,581,610,481,811,687,394,221,183,128,056,196,027,
446,458,016,279,863,531,790,960,483,567,146,452,939,700,943,273,236,430,772,
394,453,099,436,531,714,721,994,865,020,210,136,012,941,026,953,793,002,729,
299,723,538,805,287,462,274,213,174,125,529,209,793,157,502,620,067,828,030,
057,480,146,726,631,964,114,217,517,618,718,601,290,112,849,900,689,923,263,
761,906,152,363,101,081,228,669,315,135,785,204,268,054,875,143,048,887,904,
940,683,847,368,782,015,057,260,107,818,741,560,165,811,383,550,833,243,331,
197,747,443,554,139,163,693,232,322,305,886,323,838,095,491,106,596,518,321,
402,355,857,358,710,699,000,070,977,430,341,719,368,939,904,022,048,865,244,
936,877,877,587,851,505,707,654,480,009,997,822,356,449,314,034,076,838,236,
450,100,276,186,511,502,811,876,820,171,072,027,990,572,415,561,989,637,936,
367,876,992,248,042,097,137,974,749,362,359,482,682,674,093,407,319,255,514,
306,296,463,152,200,838,140,358,538,445,812,589,601,185,517,214,344,981,176,
311,171,525,353,348,706,743,782,197,882,934,439,458,831,830,087,227,687,547,
095,584,997,671,940,422,906,140,473,528,721,761,588,730,121,202,509,215,793,
221,430,821,234,407,825,162,665,960,027,133,788,822,432,864,445,295,691,127,
478,769,882,347,797,573,281,368,990,916,151,655,778,502,917,371,086,830,477,
482,794,103,604,507,929,532,869,815,053,607,350,177,430,735,598,650,659,821,
162,212,688,281,793,266,464,842,718,670,728,695,802,902,602,026,773,301,066,
993,093,616,122,807,707,268,379,736,626,282,751,629,341,349,033,784,762,008,
829,791,321,641,305,405,145,547,194,921,237,218,606,379,444,680,117,886,422,
047,779,289,771,330,716,383,290,677,926,704,957,308,731,988,579,960,232,843,
188,103,381,838,872,301,353,439,723,739,775,183,039,859,394,157,237,164,527,
810,995,273,686,824,728,420,008,920,180,026,894,877,460,761,757,589,683,978,
286,437,300,835,261,444,280,456,511,649,949,416,409,387,857,842,461,709,585,
792,044,585,103,966,853,303,682,334,883,677,196,786,181,403,277,943,916,828,
149,157,446,601,441,977,802,272,766,996,740,820,005,560,025,110,963,980,794,
236,731,233,722,574,233,395,698,835,740,922,465,781,378,477,444,511,634,425,
989,338,285,586,520,560,928,648,288,685,701,300,713,440,059,416,529,968,165,
413,331,677,333,232,528,177,717,658,509,454,307,044,986,784,580,698,579,052,
721,628,034,484,822,247,316,770,984,732,623,938,614,029,212,776,942,666,003,
808,282,232,469,678,529,150,561,366,969,896,182,829,734,988,165,525,390,867,
279,674,573,339,850,781,674,066,858,534,887,107,063,515,870,542,745,342,045,
208,943,073,508,557,696,721,305,825,894,973,175,812,840,214,949,994,434,466,
152,157,179,734,270,273,241,844,946,243,977,679,784,653,734,485,238,163,109,
149,443,972,756,957,962,152,473,343,656,080,626,984,991,073,291,075,690,355,
011,857,174,477,370,378,326,830,080,487,860,315,678,793,428,704,870,195,481,
632,421,934,051,771,725,973,963,813,184,268,962,029,386,778,932,653,954,638,
708,281,197,165,545,402,468,791,944,531,450,457,978,821,801,010,576,741,857,
144,845,309,390,974,579,602,314,333,485,560,274,612,174,346,731,789,703,859,
135,048,801,964,709,742,402,862,756,077,912,569,852,621,887,362,876,649,169,
772,183,488,276,913,152,974,055,358,779,014,549,800,919,593,359,981,541,714,
154,783,194,493,160,975,313,137,361,519,440,107,236,797,537,870,115,362,877,
786,100,709,048,802,957,420,320,305,438,377,427,474,862,677,387,436,399,234,
452,760,396,309,748,863,301,018,852,768,411,628,491,573,750,246,857,688,864,
796,417,702,433,931,583,386,745,504,595,171,752,753,421,027,281,122,427,783,
859,721,915,815,438,263,507,721,349,986,464,576,539,455,386,080,501,677,419,
843,372,642,304,585,426,023,184,943,517,927,165,041,285,512,842,382,496,846,
799,098,335,857,828,158,010,956,495,545,058,208,247,164,606,707,222,734,973,
334,054,556,623,028,290,896,483,062,989,378,077,777,790,549,313,041,813,239,
857,976,626,445,427,436,035,184,438,540,349,937,494,001,297,237,181,376,232,
521,994,302,723,797,549,787,780,546,899,204,775,081,852,536,560,816,474,070,
357,416,274,456,311,063,022,697,347,141,181,787,675,385,537,429,676,114,322,
824,738,797,534,765,330,406,530,767,488,596,304,738,444,230,093,200,691,256,
924,460,172,670,761,199,617,123,698,788,880,795,019,132,358,022,342,070,309,
322,934,982,273,583,395,798,684,879,948,359,300,232,566,762,962,464,178,602,
652,486,633,632,801,757,732,483,825,269,760,250,333,929,628,246,136,098,430,
199,751,361,536,959,381,002,637,252,097,688,542,061,269,881,159,744,503,486,
215,909,096,189,048,119,405,921,517,850,419,476,997,690,594,920,819,554,115,
477,448,527,391,938,660,775,911,540,633,794,831,824,427,828,074,033,379,462,
248,747,154,989,913,180,735,397,644,317,869,441,831,617,605,578,228,233,805,
707,940,623,156,882,109,816,358,161,098,691,663,886,396,787,856,368,403,746,
744,115,176,188,735,283,419,515,970,117,076,859,680,891,017,290,099,856,656,
211,863,273,866,143,885,817,761,788,942,885,107,364,819,368,697,819,624,106,
205,203,465,365,184,060,808,514,517,593,641,580,300,565,776,742,802,661,711,
802,006,230,656,867,659,901,873,187,647,337,822,691,110,245,177,077,720,900,
950,887,482,189,744,567,446,480,003,370,560,029,088,502,495,064,243,302,221,
492,315,830,441,583,096,498,798,720,626,645,935,886,140,088,200,337,984,774,
481,826,238,293,464,120,097,839,772,324,712,034,809,524,030,647,893,609,881,
599,068,359,911,115,510,441,268,309,025,869,667,559,968,702,333,016,484,167,
741,772,318,903,202,435,372,935,362,881,193,519,949,684,278,979,208,305,902,
008,679,184,395,935,315,229,449,724,812,307,664,826,969,249,224,350,728,304,
247,374,697,106,150,327,806,768,550,491,890,490,793,894,640,446,555,078,372,
823,876,110,718,997,152,969,575,780,722,489,388,020,778,921,251,309,364,625,
919,271,910,350,155,739,378,458,806,762,667,934,852,851,626,480,146,686,657,
591,091,116,073,862,304,022,299,738,453,956,051,421,793,238,744,622,896,308,
250,195,245,058,858,807,261,469,331,847,268,459,394,437,802,041,774,952,036,
387,622,663,744,274,917,934,330,243,392,516,212,552,493,552,480,825,339,270,
798,822,728,982,216,459,510,004,917,137,631,971,423,145,124,788,751,887,176,
082,346,236,424,542,631,477,634,081,580,083,528,639,439,717,610,888,923,946,
458,901,724,238,205,511,593,686,489,740,777,585,531,531,340,796,598,843,014,
399,431,964,039,345,729,882,865,322,373,527,134,299,576,070,145,944,063,759,
333,930,166,798,989,984,958,647,804,424,467,925,204,488,519,403,840,310,134,
481,475,829,443,838,407,241,692,823,321,626,367,699,118,557,217,679,834,968,
331,977,879,818,305,473,597,809,351,973,198,965,528,525,243,487,522,236,909,
780,399,962,996,989,776,191,695,025,203,787,255,704,731,813,469,750,653,892,
710,945,271,424,397,299,317,332,976,668,647,093,706,579,776,494,809,648,860,
225,220,965,543,510,197,881,526,205,180,307,998,605,225,853,023,996,747,725,
063,014,058,589,908,816,254,362,113,325,452,341,761,017,571,694,602,127,427,
772,541,509,899,029,043,927,994,630,055,208,488,305,481,635,721,324,589,672,
647,901,117,654,362,467,171,199,150,117,332,659,542,028,049,550,574,268,441,
363,265,650,112,458,341,865,701,663,520,139,192,688,581,181,210,547,918,660,
408,446,237,612,844,336,034,969,768,487,840,673,571,270,883,152,756,138,703,
459,054,911,932,607,793,560,659,063,490,268,122,209,662,794,172,297,835,367,
909,314,989,165,409,169,840,613,257,880,565,446,400,639,468,859,122,674,159,
335,282,905,563,503,293,845,794,229,603,137,053,685,864,509,523,017,951,910,
386,622,987,515,634,254,779,283,782,161,206,156,478,817,877,033,288,175,092,
596,060,727,380,674,815,002,679,508,274,312,294,769,737,250,524,102,444,647,
635,202,473,018,010,610,427,628,902,842,023,598,924,314,099,054,733,638,672,
344,365,901,514,584,708,399,844,848,369,037,532,959,907,318,315,726,731,643,
634,632,052,946,774,643,704,824,717,322,666,598,092,609,485,209,853,178,061,
425,884,458,220,914,080,558,414,855,034,216,632,984,824,355,791,133,561,303,
995,969,121,744,045,893,409,397,004,477,363,860,703,029,910,663,304,111,493,
832,894,331,009,177,181,277,939,015,809,279,669,353,089,851,996,976,519,770,
227,038,032,012,346,931,003,825,191,272,590,680,954,983,277,069,408,184,623,
039,377,644,016,335,506,513,502,394,368,404,468,227,266,783,506,448,777,182,
988,575,364,262,912,417,657,622,790,330,775,929,299,950,934,513,328,769,336,
409,811,836,819,794,160,043,156,547,984,013,788,012,990,558,641,613,966,292,
340,974,702,905,337,092,420,714,957,674,834,466,643,252,651,049,037,389,997,
151,048,862,147,722,511,067,474,633,064,330,482,491,182,883,592,310,866,466,
484,985,253,170,590,198,475,022,295,063,045,445,369,079,772,899,823,497,163,
885,408,362,642,710,617,145,801,942,880,999,451,129,688,985,683,190,126,498,
383,190,881,244,805,751,106,020,076,753,376,010,974,740,703,253,804,511,524,
214,205,567,802,753,879,352,336,086,273,276,587,289,517,881,361,813,660,237,
004,309,308,014,674,661,778,122,223,344,281,953,760,182,697,652,526,521,189,
449,885,308,117,234,293,034,532,311,852,473,955,187,796,904,207,611,078,803,
041,254,955,300,028,278,082,578,836,432,015,374,663,554,077,812,663,374,128,
741,331,974,276,193,000,006,932,508,318,627,817,794,596,361,521,236,586,880,
894,825,311,726,090,796,802,303,841,707,151,273,978,736,147,938,948,645,206,
063,487,510,597,852,721,802,397,012,172,518,597,549,403,948,992,737,982,180,
878,356,905,118,521,504,840,148,603,341,883,217,603,036,892,770,781,554,655,
488,476,849,827,605,903,171,658,410,043,976,380,559,973,061,520,445,788,847,
886,358,952,447,112,707,587,772,845,612,199,991,169,003,552,586,066,934,408,
786,926,284,471,643,879,057,932,862,509,474,797,639,950,069,738,960,068,351,
199,414,691,153,384,550,484,790,054,497,214,429,086,463,952,154,784,853,492,
929,758,319,661,401,918,239,674,624,458,755,149,569,958,689,733,812,117,306,
050,218,146,315,432,335,145,884,809,287,188,630,052,774,714,776,400,758,955,
918,810,998,921,736,552,497,905,494,648,632,881,741,257,886,186,051,867,458,
156,881,154,124,369,468,447,949,975,982,312,134,471,076,656,925,295,551,330,
365,190,501,500,770,501,350,515,794,232,999,560,838,031,927,516,454,586,502,
130,701,171,125,686,601,421,826,431,369,755,885,695,695,574,479,849,120,805,
591,354,117,828,158,942,163,433,270,858,522,144,865,112,307,295,733,904,029,
390,870,850,353,940,187,552,569,063,615,167,902,227,006,234,378,988,219,667,
134,671,511,343,638,000,846,947,297,742,492,820,330,392,851,456,829,010,228,
980,964,270,353,086,846,550,185,211,485,631,088,148,224,450,594,492,954,230,
706,653,180,832,087,029,363,035,946,294,876,052,942,799,648,495,479,603,580,
984,886,652,476,787,805,623,907,514,249,619,415,618,845,658,212,105,175,310,
341,730,259,398,189,485,959,547,410,610,657,841,962,639,488,967,894,204,608,
423,130,196,758,028,163,088,159,640,227,577,727,094,396,844,920,706,129,330,
439,444,734,122,320,003,533,074,097,134,672,660,549,361,377,737,717,661,530,
950,549,448,776,813,664,073,164,510,387,734,464,086,448,719,634,648,894,617,
869,114,527,408,058,000,617,571,009,373,894,774,976,042,468,095,502,758,765,
457,067,556,274,388,463,462,843,988,625,692,203,714,190,897,511,975,088,207,
731,665,958,197,533,052,221,584,850,880,097,971,246,549,986,952,250,541,731,
431,477,771,266,206,684,383,506,829,321,951,576,173,477,948,413,299,922,955,
427,740,015,271,560,104,420,229,434,638,886,539,598,233,538,115,876,905,757,
402,027,329,845,069,835,498,442,494,370,008,214,001,482,374,790,298,986,958,
887,117,504,983,099,511,614,878,592,230,998,498,896,448,542,779,909,569,922,
104,370,797,343,599,415,758,887,499,212,739,095,626,067,845,511,984,299,225,
280,450,481,945,139,907,692,442,129,557,242,342,492,782,426,584,807,118,121,
730,998,867,191,340,990,796,262,895,441,429,666,633,255,585,332,935,645,724,
507,172,033,140,882,815,027,643,740,723,963,199,379,302,768,947,559,221,286,
843,948,958,734,862,568,574,783,496,911,205,146,320,288,427,614,288,581,499,
647,468,063,369,482,128,534,801,203,233,650,115,943,406,035,994,863,709,273,
994,385,162,415,524,991,570,827,264,219,288,994,440,105,843,014,487,810,374,
723,298,162,925,948,013,702,741,242,746,292,196,053,109,630,174,356,684,002,
369,386,533,464,796,755,671,845,673,281,160,844,703,858,823,636,053,741,001,
934,351,637,895,235,840,748,687,590,136,470,241,464,738,292,824,556,958,457,
793,405,721,835,403,135,918,337,379,507,565,913,111,867,610,441,034,748,775,
152,808,423,526,887,657,289,225,797,744,736,944,313,337,485,919,309,330,249,
425,525,872,061,332,920,221,860,834,650,147,906,281,500,236,244,732,114,821,
173,788,487,997,535,928,367,270,547,734,562,694,799,244,100,361,061,362,304,
713,192,343,422,950,051,756,113,601,019,389,882,530,033,795,942,686,479,858,
494,486,250,001,595,714,301,515,513,860,215,854,005,475,949,283,034,766,105,
898,758,959,501,123,331,116,594,186,607,304,566,569,513,236,590,210,343,487,
145,389,382,031,733,664,631,535,752,842,860,210,210,140,293,741,278,126,242,
887,129,047,796,978,884,990,216,249,166,855,221,594,948,786,494,341,416,793,
581,465,437,420,659,397,085,269,089,715,190,916,573,232,160,511,421,206,448,
456,052,323,028,997,064,110,550,810,909,917,543,970,627,888,535,112,118,846,
114,959,400,093,418,775,224,302,416,147,240,665,730,299,094,247,777,851,548,
675,629,083,742,511,906,321,613,889,040,492,612,296,300,777,455,038,590,455,
508,715,059,915,362,946,484,840,808,766,155,971,767,194,460,971,426,983,383,
583,858,607,538,647,332,507,148,122,512,455,596,671,105,102,010,689,257,872,
636,747,276,419,437,731,660,175,612,820,841,611,593,498,489,676,825,226,613,
415,141,759,415,888,691,612,146,947,589,751,214,055,123,280,268,918,314,719,
214,641,010,239,432,120,947,791,339,927,424,200,099,922,818,779,768,625,128,
128,918,018,483,025,349,252,831,358,065,438,217,762,037,410,868,027,052,729,
162,784,891,153,414,895,878,355,126,917,179,649,752,359,756,642,015,524,384,
890,444,269,537,411,190,494,906,866,031,423,471,438,291,647,973,477,959,099,
043,151,270,421,805,776,372,621,751,526,638,686,032,524,095,549,965,428,914,
564,526,340,692,407,312,404,465,355,450,639,437,029,058,512,555,381,686,029,
289,626,359,294,172,781,658,156,026,169,575,157,930,379,064,780,941,121,121,
914,927,363,135,755,437,330,922,813,357,362,872,439,910,618,929,975,551,754,
673,765,333,237,142,019,817,707,066,485,009,203,636,761,987,329,501,217,827,
107,802,662,688,039,994,213,856,381,210,115,744,915,855,051,337,192,898,353,
514,635,283,317,344,434,020,224,043,815,747,273,399,850,365,808,243,891,045,
728,190,360,435,785,674,850,630,838,279,601,779,556,009,132,287,880,157,808,
119,236,313,079,527,019,596,740,342,903,269,721,036,915,620,405,604,820,837,
360,970,367,241,413,226,557,825,534,835,841,384,308,528,759,816,092,686,233,
963,670,844,340,499,171,366,514,921,303,230,344,001,870,218,391,081,428,273,
357,668,182,833,804,905,689,952,293,734,668,799,252,500,030,184,234,903,932,
658,068,190,882,201,731,754,653,719,694,044,974,499,906,441,212,626,610,181,
820,759,274,116,117,183,413,272,908,415,180,059,714,909,424,351,183,929,386,
774,106,026,688,890,895,492,361,012,584,572,660,052,811,091,735,906,431,081,
144,418,368,587,225,638,337,528,610,339,113,647,379,972,978,303,617,006,153,
769,767,668,471,252,055,401,815,330,659,028,677,955,618,252,852,944,325,768,
453,568,422,089,508,541,812,282,280,150,314,371,344,497,241,589,834,401,712,
856,501,138,050,657,705,275,277,669,227,583,814,721,216,093,437,772,851,210,
875,987,396,040,612,117,847,069,735,626,519,374,241,148,300,209,794,331,003,
982,687,623,558,251,763,801,888,343,189,204,543,730,913,328,184,220,042,075,
414,903,432,205,867,498,537,142,987,887,307,779,935,643,177,445,440,049,531,
359,115,580,124,163,249,881,525,843,025,315,256,193,988,407,410,751,380,281,
353,813,102,261,172,308,128,342,908,741,725,110,274,168,487,619,627,835,599,
284,647,182,507,472,769,333,720,930,213,252,725,580,924,864,965,159,895,275,
178,575,327,737,431,884,193,472,427,467,447,350,885,089,689,540,008,097,818,
432,300,828,055,568,177,972,478,235,068,734,647,324,668,509,800,803,920,408,
632,317,490,728,828,287,570,893,484,470,820,886,606,951,071,953,742,427,349,
525,392,374,603,989,764,385,966,067,781,278,331,342,677,475,324,544,904,948,
942,544,897,665,858,833,945,795,370,303,999,796,320,915,782,497,259,611,634,
343,016,066,559,106,010,873,957,766,055,221,540,089,543,602,489,131,464,864,
813,488,888,945,168,290,427,355,608,123,669,486,333,408,857,541,781,887,133,
213,220,634,839,584,445,975,213,104,488,269,003,083,917,381,411,720,231,601,
470,537,966,555,181,345,419,106,129,088,540,113,784,380,464,665,918,513,499,
951,525,403,622,876,005,770,133,584,450,886,771,637,756,721,795,436,452,879,
069,489,833,211,935,746,233,202,548,646,051,332,884,076,575,155,333,845,700,
656,442,707,942,248,072,536,342,726,716,765,353,316,162,498,465,245,774,880,
550,020,773,147,365,364,171,705,850,617,974,287,816,161,273,680,564,326,989,
267,683,410,858,695,871,734,290,098,423,565,940,175,287,431,331,161,240,788,
429,381,098,856,861,885,763,976,729,904,342,332,501,903,573,993,960,970,180,
610,777,373,344,638,103,896,337,220,121,048,044,761,434,441,894,032,641,597,
428,960,460,697,919,710,297,977,895,096,899,335,957,680,390,223,687,571,070,
648,563,684,450,748,465,454,845,159,205,126,763,063,650,500,515,540,457,785,
009,396,822,075,805,620,386,517,086,193,391,112,019,933,249,741,269,099,289,
742,366,963,838,663,544,026,400,872,531,533,862,307,550,086,890,162,070,192,
597,643,418,684,093,932,957,938,392,054,247,489,235,458,196,993,250,979,091,
757,645,243,797,423,079,127,662,957,054,505,189,072,776,617,730,849,993,736,
922,810,592,598,451,921,795,214,249,099,657,903,659,403,554,661,973,413,635,
286,337,852,089,969,714,513,132,989,373,210,643,139,194,038,996,468,719,280,
526,375,528,386,402,163,277,249,004,930,250,263,398,989,827,968,417,081,232,
057,833,387,926,018,496,334,010,526,143,708,305,529,081,821,164,816,205,412,
171,595,733,008,618,490,547,767,649,102,914,052,717,307,572,278,779,489,636,
707,418,684,225,769,309,537,856,291,095,264,286,244,329,117,869,426,950,748,
040,704,934,060,821,488,287,763,888,329,944,157,911,194,290,341,918,811,107,
036,242,063,720,156,673,376,384,726,046,187,713,480,762,370,432,778,955,094,
241,508,917,093,860,802,525,717,708,474,422,323,536,425,078,794,580,931,678,
317,296,336,944,840,692,940,759,668,407,245,832,654,035,027,654,639,207,343,
179,459,011,301,820,746,180,181,963,058,228,856,491,795,138,814,523,057,227,
342,360,721,073,541,515,794,988,270,473,173,194,962,664,731,641,995,653,433,
251,615,473,276,225,086,971,927,304,835,837,732,896,425,651,307,519,814,826,
388,340,089,868,611,956,195,724,184,144,048,048,058,837,907,649,176,024,140,
952,774,238,739,731,876,579,547,172,205,023,355,217,701,308,057,341,423,257,
548,118,057,981,326,036,242,516,728,112,884,491,188,835,630,538,552,162,382,
381,055,601,216,430,792,689,621,018,438,709,160,935,434,288,631,874,898,408,
417,238,522,348,806,682,345,456,295,510,106,983,568,824,969,272,361,048,374,
085,463,302,996,670,425,448,111,718,361,280,811,205,713,553,745,380,410,435,
205,854,033,202,608,549,532,925,305,203,070,186,203,470,937,886,485,517,514,
237,063,402,840,439,450,651,221,665,676,546,703,502,425,110,737,583,217,460,
746,839,467,874,168,252,898,129,340,215,202,804,137,288,964,135,072,249,764,
472,389,374,116,691,628,873,845,758,294,164,787,807,018,924,057,998,490,629,
913,126,618,062,878,926,940,115,740,131,485,411,530,844,873,191,574,602,726,
302,407,082,926,483,757,348,576,621,001,955,977,906,456,673,141,828,802,623,
910,095,160,177,287,551,320,441,099,860,044,373,509,568,600,145,055,776,637,
482,734,376,545,876,154,013,680,046,353,525,441,497,931,423,257,776,934,934,
562,920,654,754,134,790,848,200,572,555,430,893,465,117,391,863,516,873,154,
514,053,961,894,240,471,384,596,323,442,385,461,235,323,815,614,866,454,314,
418,223,325,348,501,355,486,524,978,433,865,360,051,703,809,345,295,990,364,
652,337,419,665,292,426,328,202,830,699,239,001,971,143,989,393,303,599,929,
869,438,959,774,384,173,504,851,253,654,120,717,159,456,467,104,406,700,897,
699,810,949,895,776,495,623,051,290,910,769,063,598,094,336,356,079,702,310,
496,738,925,097,593,183,264,972,524,526,612,454,502,621,523,983,174,380,398,
007,079,523,058,368,055,392,450,791,009,439,679,467,671,205,784,959,950,075,
105,017,281,485,326,176,816,239,214,754,941,146,012,423,843,058,181,482,353,
161,000,494,493,804,312,735,039,288,736,641,028,637,612,563,757,835,377,921,
272,762,673,467,881,952,578,732,565,400,615,239,363,134,005,142,622,947,503,
491,893,468,884,683,613,168,253,525,482,957,287,300,859,990,955,152,022,096,
551,803,869,739,211,863,351,547,124,973,283,303,059,679,835,603,646,014,090,
388,099,913,805,568,798,217,535,149,163,575,939,356,281,901,137,810,364,724,
285,219,423,592,659,052,653,016,103,314,182,656,441,861,537,494,243,441,477,
987,973,133,254,426,897,745,213,942,796,037,861,037,323,046,184,320,219,833,
951,238,992,695,100,514,491,117,125,078,713,050,916,024,857,186,126,951,829,
839,518,567,396,431,877,883,848,003,399,390,532,498,602,787,330,359,361,044,
074,237,446,855,102,061,785,136,090,811,378,565,831,516,862,930,998,536,423,
297,280,775,917,533,353,959,500,505,513,302,217,781,622,287,615,977,050,744,
780,073,575,830,670,848,877,070,166,214,868,710,535,772,320,008,107,984,931,
339,214,420,359,817,499,702,508,428,144,842,242,567,752,243,355,725,948,250,
246,493,950,603,314,655,206,406,596,645,626,302,226,987,480,987,943,667,419,
268,903,543,177,040,510,868,645,829,901,018,260,571,063,474,844,290,762,819,
309,280,273,929,289,678,894,135,005,640,233,390,407,476,490,617,306,175,851,
000,519,757,284,886,297,744,907,459,128,503,340,298,132,520,439,620,569,020,
356,274,674,928,817,700,091,856,117,731,837,143,638,077,684,655,092,451,581,
387,547,465,925,711,836,927,003,973,004,672,571,529,914,226,889,033,554,541,
873,251,134,234,801,687,292,741,188,736,496,695,342,010,908,316,883,946,586,
596,479,582,061,461,820,364,546,411,228,218,944,981,273,844,304,337,571,998,
783,456,239,896,690,819,082,492,071,435,270,786,206,549,425,990,210,460,264,
320,215,560,470,836,596,003,611,199,926,163,332,129,827,532,549,132,044,355,
184,968,940,422,631,238,229,992,525,472,202,774,534,705,046,630,488,552,670,
432,697,574,502,926,523,870,037,981,285,024,352,345,009,980,896,963,352,187,
668,974,247,664,381,887,165,858,623,985,898,125,349,858,531,803,749,616,557,
938,641,322,943,598,491,836,606,387,040,927,784,373,907,328,379,551,622,332,
957,719,799,843,685,455,215,255,935,297,938,980,718,601,905,456,872,737,989,
458,753,128,375,858,831,918,569,726,150,518,585,523,803,307,698,848,031,536,
422,593,447,246,879,074,214,924,125,082,569,954,418,176,325,163,187,549,420,
587,648,362,959,412,172,159,256,051,199,970,969,676,873,918,543,478,464,908,
964,689,434,109,886,560,936,551,142,682,850,925,729,141,830,793,075,578,892,
763,868,865,375,652,297,697,108,597,050,960,487,013,173,623,635,079,386,060,
547,492,035,216,276,762,270,096,960,095,425,983,171,124,277,026,191,012,877,
816,626,913,574,595,390,016,977,899,700,695,271,114,121,825,582,087,788,066,
262,248,459,894,102,988,171,332,274,435,830,196,742,694,586,983,475,578,789,
207,936,837,236,956,583,657,950,843,645,026,644,341,808,913,116,714,540,043,
640,537,515,890,065,487,135,298,441,508,252,183,269,832,376,967,412,542,533,
856,983,301,875,986,408,512,282,449,826,330,108,665,513,667,664,813,645,731,
437,385,689,509,751,275,553,074,589,683,873,882,146,432,017,535,222,714,011,
938,194,479,534,700,474,105,436,990,228,115,706,421,558,329,989,956,851,963,
381,202,969,567,312,296,770,511,963,144,515,239,333,691,358,220,685,918,311,
130,338,415,181,554,856,540,308,904,253,990,671,778,322,906,939,341,757,854,
261,992,095,426,934,707,184,600,933,278,578,971,057,875,826,466,963,443,198,
188,288,236,683,628,393,617,696,788,786,937,066,152,682,495,158,750,365,520,
997,655,168,211,804,023,146,292,264,695,441,068,301,150,793,826,365,418,011,
471,647,664,143,511,926,433,281,889,497,528,690,776,630,440,466,733,072,666,
763,241,562,778,604,051,059,925,222,154,234,751,662,075,388,467,321,340,050,
399,354,899,063,014,161,240,872,000,496,379,914,451,506,793,704,237,393,033,
370,503,842,541,664,708,846,975,506,762,019,094,455,694,717,953,702,856,283,
237,411,852,705,525,092,404,273,372,505,353,724,032,587,964,026,127,599,689,
161,612,698,518,021,517,903,892,320,645,060,821,735,798,160,481,375,354,962,
992,675,282,887,049,631,696,097,675,121,636,648,064,320,680,487,849,680,610,
729,861,912,911,741,703,714,111,025,643,995,200,998,157,210,795,932,635,115,
619,272,590,740,234,865,221,973,332,677,789,191,405,564,937,914,497,783,794,
119,165,779,262,706,125,375,880,455,791,184,947,819,334,925,891,871,073,086,
652,513,686,427,158,882,960,486,059,567,494,548,421,503,083,540,606,000,090,
029,971,493,399,734,440,929,050,797,038,395,925,894,223,137,674,558,302,058,
468,812,958,483,576,186,803,242,403,797,692,421,210,952,490,203,999,910,616,
149,088,986,939,733,521,276,524,139,359,966,064,467,579,188,958,283,872,164,
101,296,927,423,228,218,804,546,475,568,617,005,776,593,277,818,560,848,571,
124,459,288,000,512,495,328,827,969,812,589,401,985,721,339,524,963,375,721,
205,118,064,579,860,731,237,509,714,463,596,294,353,133,133,585,919,775,217,
966,782,309,357,339,830,246,099,487,830,183,652,673,201,039,867,988,398,813,
688,017,831,382,918,029,401,592,406,542,766,999,997,246,442,529,388,880,939,
359,057,650,112,902,419,519,471,580,237,508,313,643,325,288,606,855,830,475,
536,540,655,647,033,974,484,779,972,113,270,389,065,530,283,861,138,525,005,
585,263,590,055,462,573,272,901,254,802,418,748,480,282,690,086,612,947,910,
972,348,867,715,757,868,214,165,543,160,079,440,221,859,432,844,161,778,661,
219,067,678,789,282,403,893,039,249,112,225,896,453,558,669,926,713,511,588,
477,286,206,390,218,683,573,239,591,526,404,609,688,253,529,318,221,415,390,
390,298,926,675,397,674,884,517,030,906,281,942,715,894,075,855,194,681,821,
893,998,845,412,729,387,360,313,029,404,824,008,127,185,419,753,931,069,729,
812,302,442,028,839,473,585,232,976,996,003,729,689,790,143,012,158,145,271,
460,125,212,768,773,866,903,350,493,909,484,138,088,902,403,462,078,449,967,
972,345,278,676,043,319,412,465,608,995,116,136,831,173,341,472,019,986,800,
279,349,578,896,505,949,057,329,855,148,472,487,944,508,865,570,262,011,159,
395,637,513,141,962,044,683,088,925,052,248,226,322,190,708,453,463,797,734,
158,048,924,074,808,799,842,139,717,148,872,041,546,188,312,030,308,871,090,
566,015,270,652,258,768,772,817,757,658,252,838,086,382,891,004,889,785,978,
662,029,395,790,136,123,007,067,270,374,693,543,748,154,062,931,618,154,363,
124,682,221,752,976,213,660,043,470,287,396,105,515,782,633,953,797,987,389,
909,268,323,767,631,791,196,620,476,348,937,669,424,062,934,209,976,562,889,
547,139,966,365,932,343,853,799,167,906,433,248,671,571,353,248,889,236,017,
208,390,267,619,119,615,229,617,483,783,521,111,697,763,965,026,004,579,339,
192,069,478,950,679,618,703,826,124,587,939,793,863,246,976,935,969,890,463,
559,951,223,649,545,605,819,968,446,722,995,761,115,418,796,578,969,632,277,
175,897,244,635,201,885,674,784,107,725,686,718,310,912,968,480,284,187,861,
550,201,450,585,860,522,117,049,210,556,229,726,639,773,824,505,231,496,025,
601,555,773,496,102,546,713,178,905,683,983,052,474,982,223,470,131,026,716,
231,494,728,141,296,038,480,801,648,071,749,412,527,705,811,909,973,221,072,
416,260,916,287,129,135,797,297,822,806,299,586,672,119,707,775,411,987,698,
686,262,813,342,502,828,541,224,776,182,936,989,691,725,867,147,116,273,734,
465,831,011,192,873,484,897,814,334,885,633,091,084,024,039,976,504,589,826,
521,974,744,762,679,191,553,143,371,702,353,914,531,417,478,596,696,197,425,
130,883,396,061,889,597,823,958,323,367,872,423,844,635,207,125,230,713,659,
266,190,315,865,715,473,820,466,653,983,622,009,180,321,526,437,737,112,984,
492,722,284,602,100,948,365,393,050,689,126,310,769,481,837,306,554,085,625,
156,981,616,394,718,582,205,111,080,231,192,850,955,832,747,547,202,191,191,
679,385,710,461,266,380,762,872,135,055,630,543,872,402,792,765,921,611,458,
034,759,397,102,177,481,329,296,404,455,942,581,098,508,217,533,515,504,899,
261,740,451,694,670,075,578,525,965,596,347,350,292,801,588,240,502,613,445,
042,674,047,173,751,396,920,649,615,493,776,216,067,648,819,452,256,049,680,
889,992,901,750,864,655,558,642,764,969,199,676,771,991,869,505,632,967,497,
926,871,673,794,747,831,173,547,789,390,583,090,576,729,740,361,873,443,707,
233,127,442,266,971,130,803,924,827,766,324,803,822,945,340,404,730,123,914,
353,694,876,542,735,621,916,562,293,057,715,343,730,988,088,801,496,149,943,
233,471,815,770,446,370,103,997,556,619,515,425,613,733,473,867,707,887,447,
463,020,051,485,666,947,890,975,175,998,713,898,967,059,188,838,614,535,337,
224,662,895,148,241,636,302,976,313,725,678,510,754,391,563,909,615,628,118,
622,039,299,915,632,920,615,033,058,334,277,403,771,260,285,474,488,437,834,
596,791,475,233,491,469,796,304,108,038,636,259,179,149,354,399,684,104,551,
998,747,775,468,244,689,657,615,529,559,779,734,612,418,702,799,421,888,898,
481,514,164,945,371,358,395,366,019,528,755,891,514,631,334,441,902,671,610,
646,024,821,568,681,275,455,052,455,190,156,880,097,708,727,938,922,035,016,
020,662,864,312,596,995,867,823,189,868,749,583,411,984,804,876,095,377,026,
268,720,079,431,815,401,296,321,396,708,302,747,808,290,369,214,478,243,294,
312,544,768,648,825,020,445,181,353,008,966,051,455,361,356,072,693,051,024,
594,200,201,903,269,805,440,908,060,387,514,141,849,016,742,591,895,534,367,
431,432,659,326,079,217,668,185,220,929,932,861,517,723,077,648,585,932,709,
979,258,223,185,017,481,282,526,872,704,906,936,065,937,829,654,762,093,579,
374,315,462,083,801,069,410,299,580,503,413,926,077,008,580,445,918,614,441,
323,896,337,093,534,936,034,509,440,041,892,785,195,353,043,098,568,801,872,
865,995,066,015,813,722,006,606,640,680,295,640,438,900,043,373,721,435,312,
737,432,683,236,969,788,515,993,461,202,801,202,541,864,381,321,866,772,006,
991,550,909,902,773,231,860,787,900,458,246,601,616,547,834,932,888,930,605,
873,387,827,489,813,895,118,746,323,997,376,923,043,880,449,683,558,911,449,
013,788,548,322,532,390,582,713,747,670,585,400,647,314,520,298,657,241,139,
084,126,095,214,777,302,442,035,006,362,249,346,324,126,976,945,817,900,036,
377,018,514,652,490,688,647,137,777,500,129,819,722,842,794,460,381,840,246,
483,198,432,769,976,066,671,253,155,205,242,475,822,961,863,369,775,466,029,
958,580,682,732,814,230,735,357,484,226,856,590,259,681,918,748,875,932,591,
416,690,402,329,338,961,170,700,802,852,590,510,847,772,459,788,600,541,153,
994,375,811,859,077,706,575,042,480,005,000,403,781,374,073,201,450,685,186,
657,654,095,220,696,906,979,547,077,980,973,202,938,509,052,571,729,279,325,
280,001,276,513,772,796,448,503,693,743,077,512,623,683,596,779,910,233,773,
933,190,033,436,444,436,326,831,597,341,194,771,797,986,121,448,969,438,107,
272,890,262,861,844,449,194,765,477,935,717,621,153,333,794,396,532,807,343,
557,946,618,681,591,742,926,266,447,205,116,866,519,780,430,244,689,070,180,
601,265,000,508,995,467,483,261,520,421,799,553,339,159,797,018,887,563,684,
784,379,234,795,036,060,220,238,763,301,920,581,346,932,536,939,038,638,013,
447,659,519,728,002,108,104,368,862,319,612,711,129,833,835,176,265,068,536,
656,161,367,248,370,516,504,758,507,603,780,030,349,164,615,133,026,799,791,
073,718,228,998,767,712,048,632,424,411,045,802,926,232,569,945,360,989,313,
344,148,844,273,229,169,639,087,049,346,806,945,355,968,860,092,973,052,776,
382,399,085,558,960,658,501,456,820,731,344,973,283,423,650,178,079,131,353,
717,269,425,062,621,533,010,738,109,294,599,486,258,578,532,738,123,035,497,
819,875,965,426,202,829,797,257,364,588,602,289,337,822,010,992,398,056,760,
029,571,860,619,626,718,125,580,829,029,251,894,217,761,771,875,500,209,339,
513,699,446,510,051,569,233,924,332,340,016,664,503,165,533,077,954,550,463,
977,120,682,179,764,677,993,026,476,364,705,380,311,115,088,752,079,169,759,
137,423,160,812,821,768,599,417,117,072,466,486,878,154,981,353,494,682,405,
235,583,226,698,326,042,386,590,638,517,104,847,413,026,096,165,558,678,178,
577,659,990,965,987,659,694,043,895,329,934,378,894,996,668,268,580,445,784,
497,663,356,957,009,118,267,245,309,604,206,081,663,012,728,941,875,077,713,
798,804,488,224,918,681,540,879,054,474,550,850,293,515,847,926,989,586,160,
028,847,936,819,878,834,260,177,777,168,905,985,296,493,380,677,633,953,199,
631,093,844,320,917,367,250,188,940,975,076,086,342,546,080,004,653,629,665,
006,368,060,970,839,203,735,025,220,747,829,945,651,003,816,824,604,239,165,
047,535,333,496,774,474,350,142,915,674,811,919,408,403,856,300,425,140,856,
950,403,676,578,838,748,482,349,278,876,456,814,604,983,862,220,859,190,202,
281,284,253,623,981,571,241,983,886,209,576,460,694,862,275,128,488,742,948,
822,621,504,799,751,913,096,277,397,996,818,111,359,593,018,262,063,491,486,
104,358,933,536,498,530,433,926,311,295,594,780,433,759,727,612,297,218,374,
156,377,786,149,774,148,807,565,299,132,018,007,440,312,692,331,336,928,043,
673,221,192,915,091,410,300,199,325,687,634,787,427,017,672,226,512,070,642,
214,716,884,820,295,502,303,213,377,734,868,187,910,114,574,384,495,141,535,
627,273,645,600,976,552,514,030,165,479,894,890,184,701,671,740,827,745,887,
378,681,253,404,797,140,481,039,055,601,888,255,628,253,494,572,403,076,865,
201,891,165,325,382,973,836,167,019,893,922,267,702,010,994,143,115,632,538,
123,006,163,150,721,431,525,424,809,355,544,865,743,290,210,978,589,999,506,
663,505,897,319,553,715,165,508,391,172,595,747,198,308,968,772,457,438,159,
769,998,322,954,538,228,096,065,478,504,071,777,378,187,000,005,902,650,030,
890,447,494,748,643,777,430,307,045,119,768,968,562,235,278,557,087,058,792,
567,285,584,745,996,860,069,937,045,058,498,477,283,907,572,417,186,260,758,
390,822,386,204,648,420,226,033,999,891,493,830,384,656,798,442,585,014,803,
363,962,585,097,820,620,141,885,759,324,458,286,717,254,946,816,752,925,970,
517,667,661,893,072,497,346,239,745,930,217,471,408,052,998,182,435,365,934,
041,302,310,734,056,094,146,415,338,242,909,609,235,128,452,395,368,576,162,
727,419,844,205,095,733,521,323,459,346,210,799,986,214,148,638,588,165,840,
935,647,384,715,992,005,727,714,407,829,031,403,331,961,490,782,695,923,812,
541,919,191,531,440,929,097,335,769,891,011,292,075,178,044,951,558,411,593,
682,296,069,861,773,380,057,856,081,974,328,127,053,669,112,786,896,271,844,
513,465,736,251,392,943,173,559,228,640,984,863,171,652,706,998,044,901,376,
772,020,737,332,466,162,448,978,479,154,952,841,498,329,419,957,665,170,633,
206,625,906,114,012,593,236,776,333,547,636,692,471,835,571,797,000,783,555,
909,933,889,419,603,016,246,483,523,356,216,920,759,410,494,178,744,857,375,
723,554,875,440,082,508,511,555,557,035,148,357,716,032,834,598,258,644,883,
175,996,077,702,401,735,168,291,853,603,980,539,441,637,618,573,715,901,788,
950,521,172,183,871,502,528,056,357,080,752,408,316,172,253,602,950,839,352,
475,586,714,939,475,873,622,264,796,149,184,051,434,047,163,161,828,415,968,
348,461,450,568,173,603,148,203,836,066,089,183,288,712,300,335,670,131,521,
833,490,367,330,804,788,861,811,865,427,616,336,642,788,740,850,115,821,030,
394,975,804,608,961,169,277,622,661,292,324,292,434,597,724,220,701,520,297,
801,121,466,949,899,381,509,525,043,194,335,398,842,102,307,693,777,826,023,
247,715,818,871,936,550,589,187,172,629,185,280,779,315,886,801,987,102,013,
802,892,931,837,745,029,549,875,782,029,978,399,585,296,295,357,475,349,070,
898,329,511,815,252,007,446,350,372,129,565,989,208,781,415,769,759,612,856,
794,669,770,219,989,702,753,911,385,699,052,724,191,894,311,811,605,377,537,
823,835,745,108,060,268,183,606,721,483,074,584,965,495,667,385,593,418,656,
026,724,382,219,332,813,350,779,097,240,711,436,580,903,291,339,814,175,315,
265,279,858,279,370,971,977,552,927,646,522,790,457,216,681,853,730,687,174,
216,984,852,960,345,639,105,241,248,459,535,071,946,504,433,760,511,928,734,
029,452,604,569,975,429,651,161,436,665,390,980,451,727,202,494,769,667,579,
613,946,182,767,534,274,384,652,288,030,287,444,857,778,816,726,086,003,940,
492,029,833,453,304,706,456,806,359,924,755,421,401,447,358,398,361,176,498,
989,919,072,411,822,047,503,106,509,855,021,284,372,533,797,545,234,441,479,
919,596,850,358,119,015,707,393,992,140,467,686,151,489,652,564,993,203,789,
446,283,806,773,537,619,567,216,635,713,022,143,759,695,073,695,206,542,820,
684,472,431,335,616,867,338,506,337,846,524,833,578,183,942,232,493,352,444,
703,420,156,806,304,909,724,311,213,629,238,385,992,615,216,941,632,802,122,
152,806,383,158,708,956,614,367,855,940,389,490,149,543,986,540,192,946,255,
980,380,513,984,326,960,183,370,495,472,766,140,470,241,360,652,154,931,311,
094,968,927,623,945,565,202,240,561,169,357,282,739,077,610,381,875,547,829,
393,988,843,412,121,001,610,901,656,397,041,118,888,870,866,944,847,004,550,
975,545,101,775,342,924,342,199,534,642,108,279,298,904,806,077,335,608,847,
316,225,068,982,993,656,428,997,315,570,197,381,571,439,748,797,790,268,645,
551,512,091,259,814,695,475,142,275,805,569,310,715,832,027,281,331,905,532,
018,606,799,772,959,156,183,053,659,069,770,426,256,118,652,523,635,874,792,
995,136,905,566,288,967,310,338,528,935,786,738,321,780,000,999,970,313,699,
125,612,415,765,650,698,347,863,941,896,378,163,446,537,449,379,237,868,491,
377,085,040,465,071,980,988,021,892,131,520,447,174,148,733,489,373,862,582,
653,520,532,308,447,015,949,931,825,847,011,895,299,743,678,486,137,363,312,
905,540,573,036,663,140,426,142,085,590,741,071,019,863,942,698,136,265,961,
009,342,976,677,465,834,024,350,993,975,923,708,632,117,815,558,104,815,780,
632,080,517,998,174,518,909,508,415,436,931,420,407,470,250,473,458,334,738,
944,210,802,463,911,424,862,447,967,845,327,884,351,319,540,464,689,450,215,
223,019,805,698,683,243,746,160,615,468,362,851,054,189,605,170,953,046,686,
085,719,932,637,849,210,163,207,770,576,022,128,367,462,338,925,104,992,568,
333,515,601,811,101,426,459,611,734,690,980,658,880,341,237,549,733,782,271,
852,176,581,444,960,738,833,963,299,762,993,082,937,356,394,574,377,791,730,
379,120,497,538,643,529,929,012,076,046,858,905,411,701,251,732,003,731,632,
841,174,486,348,548,749,519,628,076,028,684,127,867,863,519,542,063,957,228,
061,495,520,330,120,770,719,939,940,953,709,544,026,395,974,930,121,529,031,
803,213,961,350,896,285,224,538,794,146,271,787,450,048,163,843,355,123,970,
008,414,204,986,031,048,735,617,239,280,946,329,933,691,215,955,957,908,870,
233,756,488,206,351,212,909,690,834,165,396,604,154,090,769,785,305,600,216,
608,741,243,888,455,155,173,223,493,335,592,719,749,878,199,406,955,340,737,
421,549,529,238,414,513,160,183,534,387,610,926,152,340,999,019,794,045,257,
066,409,374,251,844,311,307,085,656,705,842,933,481,994,762,312,755,023,677,
242,016,976,793,032,613,629,375,256,884,991,205,396,277,535,423,482,630,640,
634,387,332,083,202,678,699,309,330,520,908,299,583,829,858,041,905,793,872,
790,656,361,293,418,302,862,098,331,461,801,251,677,353,680,766,757,517,972,
128,660,819,862,938,161,177,143,527,984,768,125,937,987,993,557,807,609,547,
755,874,851,738,847,437,269,742,620,749,102,963,515,848,375,452,063,991,448,
024,886,070,080,614,506,127,780,136,373,607,618,809,387,200,201,210,845,069,
659,310,844,389,958,173,861,392,276,933,448,097,384,403,939,863,651,484,924,
766,228,125,750,003,555,711,624,285,795,877,535,690,855,949,777,389,355,048,
559,802,678,133,860,669,139,497,333,558,491,742,258,375,438,564,735,021,087,
292,767,412,503,033,646,627,968,981,080,639,179,410,612,583,561,274,408,249,
021,440,205,785,502,897,542,432,485,480,345,337,000,080,425,485,744,029,380,
106,755,530,227,471,132,420,787,988,564,052,569,801,934,346,179,628,974,344,
669,160,094,849,105,045,566,162,909,207,013,506,103,578,993,504,878,778,716,
656,719,713,926,296,240,439,944,774,606,747,023,895,839,671,865,720,389,854,
408,334,527,313,053,691,026,849,513,024,630,054,538,903,996,556,047,133,122,
288,525,943,888,572,364,718,570,784,744,540,330,162,006,834,428,426,116,943,
852,993,984,238,558,311,205,380,802,102,901,642,716,865,211,668,689,379,564,
040,238,277,325,816,842,067,249,186,122,035,309,845,932,198,188,761,465,033,
507,056,715,847,000,356,122,466,285,948,114,210,936,810,077,697,002,660,551,
474,504,953,308,310,861,148,864,037,274,320,903,806,750,870,016,980,001,869,
470,126,604,882,803,940,774,573,428,071,258,058,240,286,487,369,958,037,617,
566,965,990,197,544,064,720,247,855,828,769,442,703,669,163,264,040,774,394,
610,207,920,574,166,328,723,480,377,497,849,572,787,804,364,121,993,896,041,
109,604,825,716,322,876,260,140,686,945,328,416,202,499,203,947,100,395,771,
509,348,606,910,788,305,905,235,012,459,528,771,506,845,867,572,748,907,261,
227,227,512,133,755,014,129,174,904,014,853,108,301,150,511,969,031,758,368,
762,127,404,417,714,404,361,116,108,916,691,749,091,207,513,739,492,367,601,
697,454,710,188,210,046,741,487,976,774,823,701,456,752,565,136,914,987,356,
195,823,516,886,251,945,913,373,904,875,079,847,700,060,899,146,567,836,979,
883,298,443,954,956,902,710,317,765,778,848,281,947,336,258,412,712,531,968,
835,981,979,032,213,510,424,043,656,028,276,245,536,727,064,905,388,938,712,
353,824,804,431,214,111,391,938,596,575,673,261,161,072,427,066,560,711,526,
319,103,263,416,464,187,972,879,983,297,140,141,108,484,169,518,362,459,189,
494,069,310,125,943,829,901,902,059,078,872,705,266,271,800,627,700,497,635,
913,894,584,904,623,641,923,124,351,222,996,142,492,288,403,001,300,061,738,
891,869,301,221,361,913,587,579,513,897,362,528,172,862,330,292,246,085,979,
994,605,259,880,233,600,964,828,235,137,807,210,508,397,569,961,323,284,916,
436,666,007,137,254,035,236,302,040,471,290,906,062,326,163,576,998,224,971,
351,280,107,737,383,334,584,471,139,526,366,468,819,637,202,482,919,572,367,
165,653,707,866,740,739,162,451,491,719,568,979,304,333,058,693,302,076,988,
478,170,301,936,491,647,243,068,619,221,890,836,232,618,051,058,823,564,230,
962,801,733,593,616,905,521,240,391,700,979,550,289,762,238,493,246,567,016,
269,421,383,531,660,348,346,515,558,799,304,714,457,330,378,902,353,665,419,
468,267,677,053,861,342,326,581,237,418,084,109,921,699,650,043,750,254,192,
175,653,689,484,895,354,378,218,902,091,623,950,928,011,486,936,253,599,480,
185,829,317,117,516,483,619,227,061,815,564,874,222,868,940,937,941,866,168,
857,117,760,698,862,927,489,113,857,060,743,721,768,928,013,287,416,448,666,
107,848,836,431,822,215,480,451,980,583,093,377,657,882,631,284,325,892,476,
998,010,359,228,305,555,438,244,873,790,991,922,923,337,517,704,739,148,526,
670,191,562,937,162,355,982,424,904,765,889,561,422,502,400,432,178,309,247,
278,894,360,645,899,344,403,179,101,688,927,600,669,728,645,659,403,652,786,
905,047,074,030,904,715,577,764,541,527,548,954,683,863,351,983,183,728,027,
654,963,417,775,968,336,926,608,594,604,570,377,581,874,410,928,473,439,540,
306,634,652,435,760,453,981,429,449,069,243,216,082,224,302,967,319,240,568,
861,272,933,503,936,454,674,640,752,811,396,002,970,994,424,792,795,029,614,
847,764,375,414,792,777,439,887,424,270,397,125,641,601,735,798,720,690,730,
565,282,207,761,459,324,055,664,678,084,773,916,433,115,472,068,203,771,760,
400,216,039,135,420,354,109,916,574,236,762,860,447,706,590,971,490,814,677,
399,222,071,693,835,641,834,542,435,645,184,496,232,580,141,368,885,752,873,
985,901,521,052,634,806,775,086,641,545,992,106,592,201,231,228,126,313,813,
483,306,999,227,138,289,361,845,471,047,313,115,815,928,897,964,478,165,584,
364,433,798,773,495,969,019,580,546,549,114,084,220,131,905,515,113,199,393,
732,796,799,781,445,727,434,055,030,351,780,438,792,705,177,917,611,274,324,
213,465,967,309,998,758,093,324,989,488,173,773,900,891,958,661,046,449,766,
758,805,675,150,179,527,410,267,397,866,365,987,393,221,481,938,963,318,090,
483,567,170,639,309,105,212,192,782,302,073,189,322,410,465,742,548,551,829,
373,677,459,361,661,919,964,283,331,358,951,116,195,529,325,749,860,767,144,
424,811,449,951,814,426,192,163,426,054,671,910,326,251,036,304,881,797,721,
639,247,689,413,134,574,855,958,397,029,491,572,783,527,807,976,503,065,368,
790,901,482,930,783,332,523,711,882,230,501,620,135,080,703,869,033,571,739,
118,361,234,972,124,403,657,103,701,334,998,391,038,920,255,575,433,398,832,
047,491,652,518,761,842,460,988,823,433,426,238,936,385,195,311,527,757,576,
583,252,794,747,992,466,992,478,274,286,645,633,279,850,376,812,871,640,789,
270,264,134,262,401,895,726,710,603,967,260,954,665,994,850,941,686,677,078,
943,509,878,904,633,307,766,640,078,610,837,674,656,287,497,415,529,811,782,
582,755,401,094,749,118,868,208,574,319,549,085,658,045,038,582,083,621,633,
926,328,331,033,587,401,507,504,260,125,203,551,891,575,575,644,864,926,009,
985,135,106,868,254,181,803,968,116,895,394,153,303,063,302,743,869,387,511,
785,992,299,507,179,981,645,167,133,429,238,138,155,801,164,642,142,844,002,
827,254,023,791,959,737,070,598,662,866,592,711,526,912,892,726,887,477,717,
721,729,674,685,088,851,158,501,387,897,437,709,118,151,508,979,274,019,196,
281,880,113,096,946,461,472,700,199,183,328,661,109,105,993,708,585,215,476,
551,377,370,178,381,873,980,822,632,083,168,227,810,457,445,833,027,324,293,
569,267,241,593,674,832,232,337,909,679,759,511,852,985,502,294,126,836,681,
037,250,250,511,561,113,440,755,002,543,289,018,309,340,424,292,804,188,835,
907,304,485,016,351,959,183,049,405,877,841,474,448,167,683,616,349,698,606,
096,892,167,096,536,254,661,857,344,891,557,051,056,774,292,262,106,638,547,
351,821,057,655,246,774,423,065,719,626,902,675,420,526,554,269,951,171,119,
707,920,288,334,724,202,645,550,415,688,352,048,395,215,364,650,814,815,244,
133,322,829,512,855,260,103,494,349,724,693,019,327,665,206,891,661,899,794,
296,480,770,090,888,399,383,441,106,175,399,122,745,500,708,830,393,169,392,
054,816,882,613,779,511,341,069,913,843,328,713,183,471,718,472,592,000,388,
579,954,054,005,895,190,518,291,842,153,985,930,307,315,937,195,663,505,753,
373,217,037,000,246,784,064,808,168,923,498,079,303,884,396,211,474,989,714,
487,155,742,079,312,229,721,695,798,229,818,836,867,670,943,463,392,440,153,
547,701,983,152,975,020,966,763,628,395,538,543,743,427,172,285,347,240,180,
900,370,145,452,006,124,932,983,775,202,754,258,657,222,482,367,028,190,118,
671,049,665,554,743,977,310,944,545,501,957,656,610,485,086,291,532,541,147,
359,790,503,616,641,799,912,832,735,756,111,333,770,420,412,047,167,924,748,
114,503,755,151,685,676,960,050,190,912,235,454,567,256,094,361,019,647,681,
362,066,882,306,434,055,494,309,994,980,690,068,767,798,369,470,065,113,810,
216,915,757,215,018,613,122,428,138,513,502,252,769,794,446,928,251,673,528,
607,073,080,326,788,164,365,334,041,998,954,385,204,625,116,752,379,286,619,
380,872,668,786,174,575,207,437,092,301,802,306,324,527,488,723,351,630,560,
592,989,343,091,984,764,034,486,047,459,336,919,647,313,555,597,283,914,655,
756,392,152,139,277,557,788,706,156,888,682,282,922,923,421,015,499,898,133,
254,845,885,506,760,510,561,473,166,220,044,537,976,641,520,677,910,937,371,
365,660,872,399,219,514,531,159,469,822,051,432,377,327,959,266,221,711,599,
420,738,449,998,664,836,283,856,162,369,894,582,938,402,711,520,240,418,028,
340,358,410,548,074,255,030,636,904,149,038,086,665,508,821,512,488,643,142,
089,117,612,466,762,939,479,542,652,301,758,863,140,393,730,373,428,558,123,
878,330,178,220,258,197,687,761,726,215,674,329,969,611,544,165,557,586,470,
138,349,193,495,978,107,438,883,285,518,548,950,833,344,543,106,354,227,950,
335,813,526,034,481,592,535,976,157,584,466,544,564,951,143,894,516,908,882,
943,935,991,858,907,460,231,085,197,050,688,218,654,785,529,864,785,272,479,
976,211,699,965,836,514,487,252,235,885,693,900,208,587,504,265,616,828,555,
834,219,812,146,133,742,908,531,832,660,356,372,494,806,325,720,081,443,922,
946,666,373,565,524,701,516,004,868,539,555,405,511,384,412,390,667,456,174,
398,402,743,430,449,700,782,234,406,012,128,968,116,781,408,391,560,260,606,
562,547,880,585,627,009,616,735,324,346,275,808,773,337,832,450,706,041,343,
113,658,624,401,770,699,642,200,451,812,617,750,419,455,990,552,376,293,179,
361,711,262,113,294,731,555,202,623,487,276,392,315,842,949,537,779,526,178,
579,306,784,631,779,637,824,224,710,420,218,606,046,567,875,589,073,300,772,
604,273,341,907,035,717,803,146,104,593,096,135,152,200,513,118,600,722,920,
718,417,746,049,069,882,782,465,558,539,406,446,647,859,211,570,265,580,095,
337,802,791,078,371,720,083,107,964,468,030,786,463,684,658,873,724,309,464,
628,290,911,690,773,385,389,529,516,736,458,621,292,487,280,237,855,251,675,
006,641,475,782,254,025,512,335,164,693,122,696,009,327,228,318,604,371,081,
501,942,964,679,659,720,868,071,966,590,211,565,550,314,673,269,492,817,186,
628,126,100,684,470,005,764,582,319,703,397,846,234,772,642,847,163,342,521,
383,362,399,463,160,912,886,819,572,712,704,993,409,491,815,343,490,474,592,
498,050,116,024,902,509,054,686,258,580,959,316,700,791,702,048,455,445,606,
238,785,209,731,134,964,889,707,268,167,705,684,845,153,554,475,376,732,008,
326,169,038,420,450,848,845,923,242,930,215,894,840,939,169,874,311,978,674,
317,909,569,723,762,118,416,762,876,736,687,842,262,438,878,122,662,824,687,
726,964,737,547,933,807,518,553,987,472,954,401,975,474,452,514,922,391,591,
954,193,247,658,635,496,708,660,610,024,572,407,489,807,126,911,053,795,340,
721,128,375,586,254,018,603,791,060,489,317,553,161,624,227,531,089,754,258,
634,718,790,429,588,490,745,166,827,563,218,873,332,912,040,705,378,512,654,
954,393,989,246,468,106,835,919,421,573,758,479,290,443,476,124,267,186,306,
098,865,752,247,089,203,086,860,093,413,961,953,461,896,051,175,520,154,214,
802,094,938,470,889,693,488,512,621,855,637,528,709,872,876,160,080,207,816,
059,899,705,852,456,296,103,592,692,141,661,874,715,834,843,477,607,493,087,
529,883,741,345,605,339,882,384,535,902,951,891,658,516,208,294,812,380,906,
746,427,867,953,321,866,399,436,810,564,836,989,338,987,808,344,748,343,127,
796,101,466,198,509,745,271,918,751,282,208,146,140,301,138,883,190,307,617,
933,956,797,616,298,770,105,333,838,757,149,331,317,862,442,078,643,291,538,
229,433,113,529,529,686,532,467,591,098,163,580,575,181,000,994,887,096,578,
984,459,607,984,590,996,976,848,652,521,141,881,217,115,584,050,899,236,462,
443,838,503,029,697,441,951,055,140,027,056,094,360,931,341,624,806,761,721,
047,009,662,025,621,963,626,106,338,315,682,889,246,040,584,575,862,378,816,
629,352,439,325,960,609,744,193,555,831,722,147,021,316,302,442,768,616,111,
231,714,252,148,430,412,118,221,821,928,308,241,922,276,786,110,812,176,714,
981,932,005,957,911,473,493,718,076,388,117,382,153,020,196,776,220,599,419,
404,080,646,493,039,187,129,391,257,749,611,810,580,786,649,642,410,118,400,
800,553,110,763,570,042,064,397,485,718,314,201,183,816,114,125,560,455,730,
890,080,893,352,114,843,432,503,726,351,717,438,808,170,866,654,331,099,209,
358,563,416,303,728,468,888,167,572,857,586,140,293,320,250,507,943,319,544,
252,578,155,595,076,342,584,751,605,257,284,877,587,112,782,077,101,417,883,
541,209,660,330,042,562,084,215,418,307,682,274,591,137,725,931,362,501,478,
883,316,213,293,708,829,955,822,799,343,795,104,285,424,493,945,046,807,502,
015,728,978,600,642,301,597,133,319,899,526,825,857,534,583,703,598,685,176,
254,876,747,862,852,136,329,995,827,460,931,546,319,857,999,008,461,412,151,
070,507,357,494,964,202,520,835,438,553,156,612,690,894,670,161,997,744,290,
831,179,472,775,603,026,414,698,730,381,076,112,292,375,714,138,285,122,528,
787,313,240,841,582,563,393,900,455,882,090,484,051,590,586,869,470,788,681,
033,002,038,042,168,752,176,137,379,609,660,363,636,481,710,560,967,663,030,
661,803,407,922,386,156,068,272,279,236,771,280,300,258,791,704,909,147,209,
567,773,524,917,905,182,452,709,107,749,719,740,228,005,502,394,165,706,377,
541,853,611,316,010,374,128,958,002,108,639,787,505,487,950,811,916,198,348,
960,353,155,912,838,537,514,142,944,270,688,872,515,567,265,836,062,858,610,
054,737,862,640,412,856,174,274,897,769,367,478,961,888,925,280,649,897,970,
869,106,312,864,160,472,283,615,794,323,958,348,364,264,491,824,820,800,423,
578,594,968,320,894,622,086,617,822,324,726,509,599,357,269,191,329,354,629,
681,019,557,107,569,429,362,545,012,564,097,175,014,100,678,294,624,576,156,
256,590,096,642,604,086,774,178,242,368,969,040,433,589,936,015,569,893,390,
030,900,724,247,502,403,646,151,515,671,634,622,318,465,378,634,161,256,408,
173,351,461,525,894,966,304,527,216,514,331,135,186,791,475,887,078,037,213,
763,793,184,643,576,840,424,723,744,141,665,207,705,077,649,769,921,289,340,
948,937,548,992,116,274,435,807,494,526,371,491,415,762,250,290,276,869,937,
978,296,496,744,837,214,004,112,489,929,402,131,731,132,564,546,845,067,822,
497,959,852,501,580,288,073,062,774,515,951,401,984,631,192,196,789,042,495,
928,361,026,447,017,509,187,417,046,803,206,856,722,698,923,316,953,317,492,
694,056,221,948,108,002,291,273,331,820,196,782,617,620,127,016,742,777,478,
436,050,565,424,515,875,778,250,768,244,549,945,212,802,552,590,628,169,003,
166,017,198,883,624,626,699,251,987,044,937,190,028,600,375,578,396,585,580,
437,662,956,074,993,780,814,932,188,631,005,801,540,213,198,784,584,006,205,
514,320,095,983,161,388,867,671,770,332,732,459,614,334,666,899,000,038,588,
432,484,303,376,596,174,275,332,349,438,573,565,058,420,878,692,772,517,319,
234,285,255,347,578,244,492,150,173,673,868,746,423,936,698,922,981,524,307,
981,052,170,026,096,905,012,333,974,329,082,188,532,622,538,895,977,915,290,
090,810,572,962,369,352,693,704,947,278,915,777,723,747,128,716,981,558,669,
294,493,963,588,393,615,259,616,472,549,296,660,805,999,435,702,217,075,077,
071,783,711,457,712,030,429,114,653,941,227,046,321,824,364,381,371,380,054,
184,752,721,401,876,879,453,747,602,488,178,979,772,916,576,446,631,762,363,
669,747,651,931,145,884,960,605,626,358,117,101,814,267,756,724,645,171,280,
287,119,595,635,984,515,558,958,585,484,556,368,057,436,163,686,189,643,879,
817,299,392,629,851,445,165,075,856,744,761,826,406,315,354,891,249,154,126,
146,648,545,893,820,055,412,480,282,571,276,268,454,640,285,361,562,369,390,
202,703,775,362,717,737,471,439,885,824,892,492,988,509,108,284,938,930,828,
017,751,507,786,950,145,217,581,478,999,753,269,297,653,983,221,139,842,150,
926,956,295,603,686,742,003,002,523,587,370,250,386,277,919,859,851,364,469,
194,213,889,412,715,770,402,247,810,120,467,627,792,190,304,168,984,531,857,
760,872,253,519,929,657,225,255,559,446,141,529,742,706,228,603,888,300,351,
813,743,061,322,686,709,488,275,945,014,409,452,322,061,581,469,062,662,837,
110,699,600,067,456,111,229,293,912,461,711,307,365,681,320,287,503,914,691,
345,071,313,341,502,339,588,064,524,011,626,048,901,630,175,962,607,366,583,
625,642,451,791,902,398,818,791,493,209,147,582,773,128,163,125,355,354,174,
527,997,827,433,333,361,289,102,130,074,012,038,026,824,787,740,466,383,012,
717,287,320,669,054,158,647,114,574,977,192,930,460,430,647,836,836,814,736,
314,134,052,671,351,199,163,587,083,395,295,728,556,636,250,471,267,437,756,
679,294,380,454,722,480,314,464,334,089,268,385,113,913,883,910,224,697,790,
165,938,987,619,218,242,504,093,741,776,292,908,255,122,746,968,362,624,170,
812,884,380,140,001,389,585,478,112,907,202,011,588,284,204,816,760,830,376,
932,635,851,511,880,126,318,355,799,150,492,522,920,724,614,319,319,564,369,
480,840,474,655,656,452,783,384,768,684,361,501,432,016,791,893,754,163,280,
610,922,694,086,006,961,830,034,564,898,425,875,787,104,917,977,981,374,840,
205,961,763,379,882,825,373,961,929,055,267,124,063,516,193,460,618,131,463,
226,962,340,830,902,293,927,245,024,564,308,394,680,447,277,287,653,751,274,
720,300,521,180,174,861,304,710,785,148,425,799,063,918,376,321,942,025,056,
855,622,081,965,508,953,959,130,727,828,676,868,728,584,598,907,848,781,027,
132,112,683,743,703,072,807,869,718,802,603,650,758,405,643,545,668,817,552,
964,827,344,677,155,496,550,876,457,735,025,346,536,776,338,582,022,946,654,
854,940,548,504,647,593,158,382,180,464,172,188,354,321,368,448,170,306,099,
363,608,692,822,546,603,570,084,364,680,232,010,374,724,912,336,967,597,821,
722,245,628,987,447,165,110,555,941,662,486,661,827,262,363,327,331,553,140,
375,121,029,478,057,630,055,532,903,529,834,377,313,896,505,597,244,350,731,
678,222,130,597,868,043,634,029,195,706,343,937,076,839,172,961,917,364,322,
976,292,354,689,929,981,450,281,626,238,700,229,012,807,141,652,369,882,602,
329,959,055,275,198,570,878,211,139,974,746,311,819,513,834,406,453,123,292,
677,601,707,821,028,376,210,475,485,126,066,569,149,461,356,629,162,690,708,
691,135,850,553,777,960,859,458,254,323,868,397,973,792,647,581,155,722,411,
344,814,694,005,534,315,066,005,027,070,379,628,765,879,210,996,419,625,076,
777,808,428,869,631,023,784,595,784,441,615,459,316,852,755,238,671,047,036,
727,769,130,054,806,769,369,545,353,642,001,253,709,359,119,651,911,641,898,
791,232,620,534,809,688,808,636,018,997,283,054,983,570,000,370,588,978,662,
655,867,143,482,793,400,152,468,891,226,457,159,173,728,744,210,162,326,259,
687,930,043,925,760,210,572,148,807,862,245,288,457,218,192,613,326,784,381,
417,817,724,141,247,727,707,654,413,640,524,258,977,178,352,990,967,672,525,
268,941,464,485,442,385,262,173,907,168,310,786,507,164,195,144,935,645,002,
229,402,887,565,252,087,086,260,883,515,365,860,844,081,566,797,897,708,890,
008,197,814,939,609,788,695,523,608,949,648,882,436,573,745,065,018,577,187,
195,242,657,564,268,816,708,643,846,762,232,725,587,400,945,584,348,286,668,
373,873,488,943,554,906,548,210,494,403,001,939,422,884,475,857,628,484,903,
006,292,089,856,859,922,778,751,501,557,379,412,968,941,946,582,283,480,456,
116,777,117,489,130,008,135,893,579,073,009,395,038,873,047,788,565,168,550,
898,820,392,244,416,276,472,049,652,293,538,902,667,879,649,102,885,065,494,
505,858,895,062,976,503,197,806,360,690,966,841,021,829,780,575,159,966,712,
318,259,581,293,861,134,250,353,832,550,627,442,857,211,484,667,238,259,654,
296,889,775,677,455,844,798,976,829,260,737,381,888,897,279,092,240,505,594,
625,953,256,193,941,946,618,882,774,401,030,848,276,541,606,679,601,388,510,
623,077,512,974,808,513,619,192,391,877,960,706,210,210,419,793,965,168,658,
600,826,512,698,606,191,463,168,516,457,562,576,415,387,040,007,620,811,749,
297,171,140,413,336,264,762,471,855,514,481,884,093,033,711,386,674,695,512,
892,260,407,674,762,410,311,364,043,057,725,836,254,536,131,754,622,847,847,
800,031,176,210,381,955,147,854,215,194,862,122,756,108,370,095,289,050,878,
833,986,813,352,068,116,775,914,761,813,591,815,820,383,538,561,618,528,723,
449,346,152,663,251,864,361,914,593,127,007,278,130,871,378,310,801,681,198,
148,443,824,878,457,738,980,317,329,809,963,626,113,299,198,108,510,822,637,
326,758,568,789,444,023,293,893,721,275,606,465,130,856,966,052,201,486,892,
014,310,572,360,389,996,324,956,567,932,628,634,819,111,115,932,793,341,231,
569,169,355,774,175,583,589,355,150,351,044,257,453,121,488,086,066,821,186,
481,437,715,957,515,321,510,974,812,832,497,740,319,953,417,769,558,792,244,
866,090,063,797,314,929,441,598,859,264,258,459,845,459,874,888,091,270,670,
489,016,703,897,491,756,106,456,969,792,963,049,834,169,438,868,513,034,527,
783,923,700,941,248,772,487,550,669,911,406,414,490,115,621,176,014,148,587,
112,677,005,430,243,324,894,590,259,896,663,242,502,721,057,043,468,037,744,
076,866,723,389,545,780,166,389,583,146,921,002,816,497,539,554,267,119,844,
371,410,822,862,105,538,627,389,338,815,560,621,330,216,127,527,785,340,648,
145,938,630,255,375,436,675,891,573,348,074,098,921,570,490,281,153,971,825,
938,965,290,504,207,078,575,473,890,179,231,709,741,394,767,937,336,052,000,
061,028,084,550,882,548,172,670,374,107,138,556,474,556,715,598,274,734,629,
594,192,998,816,334,805,074,304,870,059,227,536,833,860,498,586,113,515,572,
155,795,152,522,073,985,667,401,416,142,382,772,386,951,943,498,799,022,788,
631,381,351,710,262,319,564,378,057,493,563,538,753,674,038,452,611,872,907,
351,573,375,733,421,899,868,347,039,447,189,959,076,580,268,268,752,266,795,
544,513,133,446,656,688,836,481,506,664,530,158,011,805,402,638,357,315,597,
636,756,674,220,365,413,949,106,667,921,523,786,227,530,220,604,478,689,358,
585,499,410,335,007,925,232,911,276,700,304,037,722,356,425,605,851,941,924,
808,983,365,708,134,901,379,967,247,888,555,909,525,500,957,263,983,113,188,
023,301,046,813,712,197,148,219,418,232,730,888,782,636,597,180,735,078,735,
105,484,319,759,448,743,171,045,218,980,935,892,329,624,813,605,825,854,979,
255,509,072,489,400,934,434,628,840,091,030,057,749,948,017,681,774,144,068,
975,800,645,777,555,286,086,326,934,057,344,277,123,722,954,198,137,519,780,
075,989,814,829,666,623,710,797,720,420,431,425,776,591,880,152,840,590,720,
798,166,604,772,867,586,311,446,957,173,368,453,373,939,564,773,447,210,483,
616,128,555,492,326,232,133,640,884,362,742,996,816,061,751,570,538,532,548,
057,682,887,312,080,462,217,293,117,415,709,515,373,686,305,659,768,707,088,
268,070,775,716,816,684,746,046,961,802,994,880,459,224,258,487,826,708,329,
928,706,103,060,324,295,217,120,835,391,482,978,189,582,334,976,280,728,405,
353,645,652,655,435,693,957,301,656,692,321,800,740,735,541,926,815,634,206,
161,081,114,253,829,276,241,029,849,015,953,349,037,322,481,322,388,496,366,
473,094,072,180,848,554,354,909,635,419,464,121,203,943,913,522,844,555,337,
805,606,664,822,077,962,429,196,204,401,267,125,963,238,034,553,212,535,375,
917,071,293,948,363,998,549,320,945,247,137,618,417,578,310,290,645,607,357,
187,574,900,118,894,469,812,040,743,435,279,296,602,337,949,375,099,055,126,
287,215,914,392,874,682,203,029,026,268,532,736,257,595,946,432,837,794,139,
606,379,982,109,620,837,600,345,513,655,746,505,027,043,534,697,814,473,533,
740,334,641,700,523,252,096,357,747,974,724,460,577,276,999,457,118,725,321,
167,884,487,563,161,413,851,049,003,269,376,399,059,177,126,710,706,358,829,
314,889,869,272,125,522,717,185,947,440,363,282,387,034,877,604,109,363,316,
586,874,901,069,149,476,624,486,566,809,178,962,499,261,782,311,225,977,348,
309,023,827,392,228,459,241,413,317,123,182,051,259,304,914,919,146,470,669,
881,229,912,992,424,848,486,359,708,546,069,754,046,798,456,419,617,587,017,
972,063,778,025,699,965,422,116,945,335,715,007,492,649,237,753,025,705,606,
557,375,958,523,372,562,442,237,666,679,420,094,439,486,331,224,993,613,282,
882,419,157,841,447,201,630,667,058,601,917,257,001,382,114,613,591,778,880,
297,834,577,804,691,777,188,321,007,499,183,597,605,305,207,409,728,601,166,
296,851,279,606,628,732,215,503,511,407,611,748,922,555,588,144,817,327,693,
491,025,353,892,858,405,994,323,525,681,246,559,212,475,535,863,915,686,918,
315,740,974,315,074,596,317,820,889,200,609,348,638,669,894,013,616,303,489,
512,607,460,308,922,274,583,073,501,406,934,805,554,317,692,336,653,655,434,
402,099,962,493,479,582,566,913,145,681,564,383,496,698,459,119,091,797,748,
931,686,887,906,032,091,580,863,717,984,766,585,578,561,791,609,102,002,695,
818,405,970,399,842,139,310,644,831,096,656,068,514,371,182,105,630,441,947,
096,314,788,712,825,264,582,025,533,257,282,440,972,034,036,970,183,417,356,
864,025,571,269,912,134,183,365,560,825,862,699,232,816,083,359,664,154,954,
594,327,728,527,485,163,850,056,099,057,897,820,161,407,014,989,459,579,164,
869,116,036,423,046,653,867,636,647,950,531,657,751,646,170,191,171,796,565,
282,885,995,064,483,179,687,666,802,631,197,580,563,313,074,439,822,578,173,
796,925,970,406,117,284,333,063,136,807,172,674,410,064,806,255,846,502,412,
509,786,119,550,801,724,193,457,702,380,162,481,810,482,251,505,173,624,327,
503,869,871,516,828,493,949,428,229,449,106,099,273,363,878,897,380,957,345,
768,910,785,679,292,734,568,710,072,428,569,069,584,874,497,055,583,732,423,
579,167,000,646,090,077,362,521,326,641,634,976,709,843,115,059,455,654,782,
085,011,209,123,705,510,417,412,610,276,552,150,581,491,799,738,900,744,186,
100,958,109,924,976,735,785,466,271,279,360,068,418,141,073,565,364,087,558,
079,757,865,188,309,663,491,975,525,528,808,433,607,361,159,165,368,105,562,
528,119,913,628,815,290,219,913,903,892,089,081,527,033,854,548,126,584,906,
754,602,760,671,496,818,169,483,823,456,215,200,100,986,337,659,087,543,194,
573,331,299,900,820,251,949,912,568,888,854,128,482,282,306,332,862,665,599,
204,119,303,083,165,085,556,612,062,088,440,441,578,640,920,785,054,271,960,
299,910,573,997,468,402,789,361,306,212,525,766,305,603,320,605,695,518,233,
155,502,343,966,240,909,470,507,409,342,100,178,644,741,922,810,310,019,038,
063,431,074,214,337,402,157,096,279,813,623,083,567,331,186,076,644,220,345,
556,949,438,405,816,697,156,385,587,676,827,552,543,209,325,903,060,360,789,
180,431,629,317,758,650,618,207,351,712,120,167,967,178,618,084,585,802,706,
399,403,526,465,189,805,504,654,080,767,357,898,168,357,917,211,013,290,384,
745,652,872,903,983,311,741,746,165,245,181,668,010,301,820,468,180,325,930,
412,500,526,560,802,043,793,832,133,030,388,920,635,429,455,711,709,643,822,
986,484,600,773,701,894,475,962,126,713,567,218,982,346,129,405,885,041,831,
238,251,747,084,764,050,476,735,096,272,190,666,843,616,864,682,037,803,610,
856,318,578,859,663,602,141,593,407,375,217,717,115,788,616,386,603,892,712,
389,881,410,873,537,091,217,840,497,993,760,385,626,245,407,275,985,167,914,
335,073,500,254,995,967,999,377,725,499,225,567,339,311,948,962,626,754,484,
681,377,687,714,300,338,826,120,109,436,817,123,377,081,836,184,059,242,355,
027,890,533,362,028,947,394,345,349,759,047,527,640,279,341,722,287,891,639,
810,796,930,918,241,958,683,728,384,632,564,899,737,495,070,920,787,218,952,
596,103,798,430,385,948,796,142,396,487,432,358,998,006,513,443,900,589,517,
931,690,326,666,956,652,819,628,075,963,408,497,362,950,952,685,592,072,880,
738,328,093,049,278,432,699,356,189,210,352,504,755,016,040,981,672,067,754,
296,047,467,133,354,991,033,009,289,840,386,415,383,611,593,891,278,700,519,
434,572,304,754,256,845,132,319,131,119,100,939,176,486,752,421,869,571,363,
465,991,009,854,064,714,816,483,938,951,872,193,112,496,776,790,955,555,843,
265,058,024,352,967,629,846,926,820,877,546,032,163,009,277,059,188,217,957,
669,380,096,156,960,619,661,630,353,268,452,728,319,328,871,275,310,305,585,
044,194,012,109,875,839,127,741,896,532,528,916,672,879,944,745,867,188,317,
089,880,045,638,853,869,178,162,696,989,875,778,712,655,649,404,202,269,892,
958,474,278,991,207,513,651,039,590,523,685,479,771,116,275,508,842,576,355,
111,026,685,759,544,443,408,343,287,264,162,015,789,213,919,681,430,139,370,
339,754,348,699,358,339,068,872,676,520,078,879,689,581,253,384,410,299,265,
878,762,551,518,342,830,554,913,365,070,657,797,222,554,106,074,847,645,656,
667,046,442,227,076,970,780,117,087,380,334,043,774,485,294,772,303,206,127,
610,241,230,338,769,393,438,793,752,390,352,788,211,111,707,626,605,451,930,
518,146,551,815,867,668,881,328,736,425,165,097,957,517,012,083,636,690,703,
204,722,761,866,936,512,049,607,255,612,075,304,375,841,776,583,193,293,135,
736,836,930,746,461,735,769,547,410,147,946,211,394,261,149,379,857,865,846,
580,458,142,690,228,684,594,374,191,271,505,008,222,995,030,507,352,248,294,
669,302,218,002,799,299,800,392,205,271,181,361,521,036,611,023,111,048,231,
990,871,895,252,159,322,827,829,623,014,812,077,506,901,645,598,045,780,468,
700,311,115,431,549,952,117,686,244,363,886,421,772,641,430,368,047,973,493,
191,747,523,420,790,521,938,709,365,329,005,469,084,891,942,357,042,832,413,
861,981,500,175,811,050,761,114,181,817,296,756,147,103,863,497,254,986,157,
680,881,022,834,647,176,917,142,693,702,091,500,154,552,707,633,911,722,644,
666,589,825,670,728,493,764,879,082,267,059,909,549,835,346,098,618,805,794,
681,242,614,129,885,619,664,673,350,836,215,902,677,688,419,910,801,635,032,
644,890,603,297,322,196,548,077,649,195,756,288,190,065,965,151,357,619,315,
042,582,189,253,812,302,979,740,083,159,679,739,503,817,580,113,709,635,509,
670,797,839,864,711,124,844,619,484,487,229,580,468,084,482,555,432,170,431,
294,820,649,739,887,971,068,773,757,432,828,216,544,755,212,550,084,618,317,
802,750,842,091,151,967,382,724,545,054,623,179,331,435,250,644,144,361,995,
203,192,778,728,901,553,376,237,501,636,804,614,546,737,461,703,679,199,135,
799,223,675,381,465,719,336,924,090,342,334,563,999,724,217,722,192,843,141,
714,063,821,618,181,418,894,642,226,039,248,110,500,248,109,095,224,457,190,
240,703,988,511,064,746,852,667,114,559,513,285,512,114,700,299,897,645,646,
378,080,422,112,922,988,782,768,531,767,629,181,084,895,309,392,677,903,741,
776,671,519,399,327,105,729,306,323,375,918,106,360,044,625,797,141,418,808,
656,052,409,060,212,000,519,533,570,566,060,245,507,122,115,647,300,763,686,
571,419,608,041,960,277,390,855,028,849,042,046,665,238,460,856,673,556,000,
519,169,571,773,499,125,258,647,438,281,670,360,286,628,650,068,460,307,331,
564,382,656,283,704,567,640,461,275,065,616,006,964,541,724,555,737,522,182,
280,646,987,438,314,110,250,538,439,577,475,195,639,728,059,601,779,448,218,
338,302,040,474,232,982,312,572,840,034,439,254,148,688,338,542,220,133,950,
368,907,894,073,629,126,972,454,442,369,418,823,453,354,852,307,095,011,738,
331,793,393,319,635,682,661,679,456,832,395,975,954,895,216,380,427,500,768,
910,458,166,523,017,127,935,048,723,414,889,376,684,718,593,429,355,921,401,
512,027,292,422,136,917,560,141,557,624,464,761,008,269,867,778,010,563,540,
960,178,705,059,337,400,579,637,988,495,569,128,501,438,266,727,665,731,761,
372,343,521,155,368,135,540,235,543,992,254,671,117,511,829,895,389,611,982,
040,246,854,207,726,961,012,629,440,807,989,517,514,353,793,127,714,531,916,
972,876,877,196,316,068,906,423,124,573,221,151,176,351,747,414,902,408,894,
756,105,953,129,660,263,769,769,676,731,930,979,065,020,677,554,675,127,540,
105,146,259,913,139,474,016,761,361,482,139,185,057,866,940,738,262,872,325,
453,041,762,132,517,139,406,404,277,668,494,316,175,344,187,718,143,256,410,
341,323,894,487,158,238,666,525,992,912,051,842,700,572,348,185,584,402,995,
135,054,127,438,707,270,453,490,116,600,715,366,616,782,629,286,529,917,951,
032,206,054,652,468,779,116,413,719,256,611,139,236,167,751,360,779,659,805,
696,610,292,391,000,859,428,397,142,845,764,544,328,326,605,202,656,301,836,
461,413,065,604,637,133,227,871,494,599,406,823,906,689,928,515,828,084,745,
198,661,064,910,506,077,653,979,976,190,581,155,733,642,120,881,772,946,300,
000,596,413,556,791,476,541,854,537,653,423,060,038,467,532,903,094,261,960,
216,351,303,192,395,316,278,438,458,663,396,402,217,387,742,435,522,378,561,
190,368,969,907,730,647,346,569,319,277,651,601,939,361,087,854,469,662,904,
212,308,668,355,827,676,171,274,051,554,724,493,013,686,232,499,808,010,290,
099,252,790,965,817,279,707,768,678,652,325,069,045,518,899,958,977,986,695,
088,792,029,299,912,453,737,857,229,147,619,688,002,414,761,069,478,280,064,
040,630,600,865,051,185,494,747,633,736,272,204,848,211,455,769,136,836,094,
258,045,632,436,329,677,255,887,139,739,917,330,360,412,175,040,936,097,467,
692,695,862,734,930,621,648,073,317,575,453,397,331,747,889,206,973,785,197,
469,606,040,983,405,986,878,025,796,565,228,664,924,566,107,343,763,961,320,
659,197,034,831,952,295,459,068,029,513,050,875,200,445,335,230,098,190,202,
770,186,616,680,007,862,755,521,923,563,631,018,385,903,904,764,638,199,531,
295,649,074,416,940,969,737,430,731,348,736,340,105,741,530,177,745,826,208,
409,269,244,172,658,619,433,661,862,106,419,430,958,939,103,215,905,797,378,
748,623,341,696,293,113,277,488,653,084,739,603,796,018,458,019,200,968,559,
702,562,901,721,829,140,200,867,289,035,009,336,471,515,860,925,118,441,565,
612,904,490,479,843,812,931,117,675,572,344,666,869,993,490,849,942,008,853,
033,391,229,585,498,649,920,847,878,330,896,220,149,050,656,941,882,889,406,
039,491,093,404,199,516,426,087,528,446,139,695,438,779,475,434,490,989,640,
185,326,505,628,813,216,889,256,226,227,510,428,828,437,273,181,631,310,128,
574,598,073,591,492,018,806,694,378,880,240,073,262,058,986,921,865,992,121,
081,540,782,244,028,352,529,244,387,898,854,318,633,638,178,221,287,136,969,
219,539,469,650,716,507,428,685,257,338,118,677,573,538,932,338,352,041,524,
692,726,327,779,581,537,423,621,248,815,369,043,561,005,062,835,257,182,502,
091,104,239,670,147,642,000,526,119,238,425,207,277,267,060,523,554,631,756,
853,293,426,019,666,440,315,268,913,487,815,380,551,442,456,868,861,555,467,
592,683,973,297,079,786,286,214,519,686,380,552,116,871,632,929,639,027,735,
911,335,417,602,267,785,191,165,304,942,222,111,871,538,520,326,786,366,054,
246,094,245,705,865,539,523,134,143,269,516,688,425,244,547,450,908,473,246,
039,265,257,600,313,800,950,331,334,402,269,659,651,800,165,436,962,793,966,
837,499,845,228,110,170,475,923,609,928,457,618,531,251,139,838,040,256,415,
825,072,738,346,245,137,007,120,126,135,508,759,065,129,037,503,319,580,506,
809,895,070,833,920,386,504,398,909,193,426,402,456,633,003,559,883,689,412,
833,672,857,590,556,535,741,572,128,653,612,738,256,960,560,780,848,947,842,
052,088,672,035,176,741,509,367,746,488,774,485,210,676,440,156,346,752,929,
747,131,748,216,583,268,110,334,383,512,382,393,973,698,041,892,648,918,088,
471,528,745,045,348,365,489,397,370,973,637,598,563,799,348,303,226,798,913,
989,870,727,669,441,601,580,125,674,359,474,186,299,835,492,684,340,699,387,
092,131,342,588,463,339,745,745,988,007,188,581,363,417,557,588,061,353,777,
489,745,782,126,380,880,675,157,936,532,250,272,102,651,249,138,264,660,678,
259,528,094,571,394,608,468,138,940,127,131,837,628,699,446,991,595,296,080,
233,404,554,218,944,048,457,733,081,203,303,010,769,071,529,793,967,760,144,
377,197,421,898,451,181,763,613,162,578,084,549,200,914,886,583,058,676,173,
233,439,873,827,968,814,678,521,388,339,136,381,006,133,163,211,271,598,102,
282,463,933,384,224,105,488,924,193,806,861,520,445,247,067,674,915,477,838,
785,550,044,381,283,380,827,499,618,769,327,848,261,599,930,530,620,516,859,
687,714,243,989,930,451,312,672,528,152,539,313,720,615,120,347,382,161,537,
042,663,789,118,555,511,784,240,428,677,133,517,255,785,820,096,853,290,053,
850,697,385,504,213,466,069,089,641,116,601,605,982,838,330,502,958,117,034,
288,366,441,027,167,175,230,290,374,238,339,823,168,405,571,460,111,105,811,
046,622,029,170,709,510,815,948,235,376,193,201,143,729,471,239,677,309,940,
041,386,779,800,596,460,673,903,440,623,952,695,379,812,428,974,636,478,238,
306,722,208,541,634,074,549,095,578,007,348,205,239,238,608,637,254,104,774,
824,876,725,607,913,355,582,791,001,763,018,768,336,338,958,200,067,301,578,
735,847,369,886,075,839,350,795,546,753,163,520,728,166,221,982,868,318,409,
506,923,982,729,403,483,279,730,845,055,243,473,348,649,591,777,827,399,733,
427,229,281,924,950,895,776,424,975,823,712,657,967,999,800,154,758,330,201,
726,965,590,005,965,930,657,579,790,881,942,077,157,238,752,002,546,136,435,
591,669,486,644,656,939,363,006,085,500,115,545,230,882,821,405,577,907,968,
672,375,292,091,060,679,355,654,141,776,911,588,478,027,768,585,749,388,846,
092,971,730,487,383,463,140,413,390,713,335,389,861,156,620,398,989,137,092,
715,526,318,351,548,016,792,485,079,070,713,872,103,960,188,372,009,004,117,
376,781,622,835,810,758,427,474,731,528,907,275,000,670,701,836,965,194,231,
313,933,790,418,043,535,174,248,830,282,749,403,063,952,959,247,343,107,134,
924,059,132,342,598,798,746,823,335,094,689,256,853,802,809,835,168,474,686,
108,441,091,357,227,059,263,120,770,591,052,962,294,861,172,558,732,303,824,
615,568,662,285,484,230,757,448,758,285,293,995,449,612,792,287,837,904,035,
299,705,820,029,988,681,179,567,610,312,814,570,488,803,896,264,267,063,022,
169,553,240,299,094,448,149,566,403,134,032,232,201,590,193,700,194,273,135,
994,829,089,479,805,597,921,084,984,789,876,972,045,880,698,426,957,137,753,
007,208,891,443,950,122,640,257,269,092,502,333,255,146,971,067,669,451,806,
523,429,673,106,987,100,086,592,500,277,524,838,744,123,509,889,664,156,025,
037,496,559,163,595,428,124,165,742,995,924,672,401,341,559,265,555,239,297,
415,798,183,965,299,677,994,688,170,544,000,376,615,390,032,323,452,603,642,
792,102,157,362,155,349,555,634,019,752,287,265,607,270,595,230,262,659,421,
018,675,635,511,627,880,906,834,266,808,230,520,089,764,249,843,839,713,588,
499,083,389,128,125,636,574,222,401,752,367,745,848,180,398,954,101,376,806,
126,297,931,940,813,234,882,485,244,154,987,000,316,840,800,229,271,399,117,
489,672,895,192,845,197,314,913,069,043,281,822,365,069,643,411,202,643,400,
930,299,679,766,204,549,339,142,652,763,508,172,147,400,373,873,464,178,427,
631,984,412,877,924,257,653,713,266,722,595,646,521,491,636,922,774,385,442,
106,029,099,411,554,315,333,093,410,251,273,200,459,341,439,900,643,188,324,
653,276,779,967,164,706,983,026,005,104,202,309,068,672,033,350,634,008,496,
946,500,732,735,151,328,985,682,734,189,115,754,554,324,751,375,170,424,476,
847,765,397,604,598,855,226,613,733,276,112,647,184,573,634,201,648,198,590,
675,672,281,625,131,445,841,254,860,463,282,317,016,027,154,011,021,104,780,
772,609,967,835,028,249,034,623,876,501,553,843,065,384,449,702,028,186,718,
477,817,476,067,227,081,939,805,346,750,566,355,267,878,723,062,058,995,490,
738,537,134,999,789,363,917,383,126,340,730,718,761,382,941,746,653,437,646,
085,390,848,131,653,453,149,277,246,773,891,290,095,248,380,724,910,881,954,
666,210,368,212,212,197,568,009,357,713,974,882,959,748,251,244,371,837,362,
392,714,389,177,864,656,650,238,939,942,473,732,109,464,512,432,672,768,735,
736,402,424,623,651,796,927,085,912,730,763,735,094,267,713,357,147,994,607,
601,142,871,066,725,772,353,233,492,260,133,853,584,668,709,993,061,933,984,
814,574,256,119,705,895,489,075,049,206,187,102,416,266,010,941,271,488,416,
157,039,877,619,686,582,353,360,257,087,024,426,878,312,395,451,898,031,107,
981,338,384,567,502,785,741,436,396,371,430,801,745,743,750,499,500,422,142,
402,167,748,721,931,892,309,259,215,874,568,057,376,127,257,215,568,627,137,
074,415,891,544,776,764,402,998,891,853,087,152,244,468,575,814,828,676,235,
212,715,959,946,542,449,165,748,641,546,074,998,629,087,283,809,912,057,916,
647,950,122,534,786,318,836,088,688,799,628,215,499,108,209,854,408,444,172,
472,489,385,927,175,257,568,411,519,100,821,888,056,187,069,172,507,721,983,
740,255,915,982,654,577,889,189,364,120,567,632,735,536,517,061,974,230,056,
131,768,587,510,240,134,197,963,695,432,166,502,710,343,594,895,698,239,545,
975,009,136,105,584,192,525,926,203,593,720,724,532,004,676,232,649,170,093,
324,928,335,201,977,459,382,464,922,523,077,050,561,142,744,329,679,382,867,
949,141,402,851,824,679,084,663,299,987,798,634,924,565,333,486,232,169,412,
268,353,673,289,552,479,855,393,354,478,616,377,017,127,942,219,065,143,039,
642,917,114,922,600,801,823,810,322,527,509,277,193,264,751,944,908,922,890,
353,375,488,911,122,309,864,083,620,671,824,228,289,643,094,047,954,327,097,
310,109,576,541,294,311,665,995,019,473,405,251,894,020,878,892,608,956,166,
227,994,820,186,772,803,062,637,761,937,382,749,925,702,444,817,373,824,283,
965,734,786,132,494,766,557,583,936,960,054,607,015,583,645,588,167,220,330,
845,283,949,560,552,161,257,880,737,045,285,500,353,441,533,742,669,442,899,
717,808,201,563,352,451,033,840,210,160,587,608,857,689,633,586,229,593,548,
996,707,517,714,214,549,899,333,324,027,954,072,382,856,531,891,880,977,448,
671,847,021,276,311,478,251,521,429,083,789,263,971,763,467,519,048,485,800,
415,159,472,947,745,075,975,686,438,478,484,646,853,811,405,391,687,141,719,
284,654,234,719,954,248,854,428,154,716,452,271,415,795,158,555,761,621,715,
821,850,688,118,199,809,426,920,085,495,704,474,172,608,477,625,923,736,241,
210,314,420,427,725,177,089,863,524,977,628,556,820,567,087,962,676,405,867,
862,555,450,214,436,879,612,554,686,509,744,181,190,825,548,159,660,739,218,
375,815,756,688,349,559,510,999,758,680,311,087,397,949,414,542,785,807,446,
522,637,574,374,969,847,863,643,265,211,265,877,119,357,051,374,769,449,267,
347,939,295,302,082,892,387,112,539,806,582,712,838,255,004,605,734,789,722,
807,802,516,641,156,429,523,667,128,942,220,837,234,448,906,989,033,627,657,
506,367,560,812,375,085,003,357,074,279,137,107,984,306,253,501,509,881,858,
633,812,673,538,560,310,980,303,181,236,113,342,141,095,842,280,252,558,141,
658,913,951,695,458,285,660,773,707,654,343,845,237,644,219,945,668,851,160,
950,358,331,464,781,776,963,141,376,928,459,399,012,951,589,351,905,740,142,
989,672,163,327,082,541,299,195,569,935,677,220,584,107,173,223,957,047,173,
805,307,457,343,842,895,991,333,759,834,670,509,310,394,533,538,322,681,655,
829,296,003,178,147,840,757,345,861,758,681,699,134,874,705,511,420,456,961,
700,150,743,704,872,807,365,690,821,701,630,659,900,341,943,889,843,528,549,
104,786,155,193,986,805,957,738,234,252,608,977,827,331,822,159,040,240,754,
845,163,661,978,928,266,475,269,254,712,602,607,257,214,928,540,840,002,618,
019,995,536,488,119,346,137,833,765,211,813,876,177,358,923,541,077,075,557,
234,391,939,777,273,898,099,336,486,656,581,223,716,852,425,790,511,786,885,
680,020,512,494,807,836,138,593,840,633,891,083,620,449,138,761,612,507,211,
481,882,417,965,813,299,623,459,673,265,048,438,660,556,896,100,347,770,552,
581,648,919,892,594,293,111,918,107,817,771,027,972,478,174,800,437,204,236,
960,983,145,736,316,862,128,237,331,852,091,574,239,685,967,901,697,975,775,
953,981,302,606,373,739,061,152,044,649,918,826,092,589,697,341,832,553,243,
248,439,290,627,675,536,070,121,499,367,300,640,246,776,046,073,930,493,179,
023,615,395,033,253,911,073,072,156,140,269,116,829,773,626,604,999,527,300,
034,805,885,196,705,058,356,988,013,854,588,071,455,583,824,593,124,215,574,
940,009,878,330,347,267,599,106,725,372,497,075,797,795,139,392,314,244,841,
065,780,113,852,186,351,915,914,618,865,384,908,931,854,782,780,598,754,259,
333,665,835,085,516,616,733,891,917,018,618,015,002,153,645,996,814,618,022,
116,742,662,228,456,399,170,603,958,264,542,656,184,870,097,578,872,106,134,
902,668,136,734,203,575,834,137,540,030,422,472,197,411,490,724,460,949,392,
234,306,650,508,728,672,381,305,968,839,756,873,968,486,094,014,362,058,742,
611,159,573,361,278,653,092,602,252,849,072,310,043,105,364,854,632,267,097,
464,180,934,178,657,153,195,932,044,080,051,261,894,230,201,515,136,316,435,
359,611,384,317,990,051,051,925,392,527,612,542,664,357,490,015,593,145,464,
560,652,179,148,750,234,318,553,544,161,258,922,686,254,576,202,654,126,810,
642,072,231,470,480,568,417,989,609,701,478,662,821,850,822,393,329,318,687,
106,349,843,700,359,966,447,419,701,582,046,294,315,190,389,412,319,546,304,
517,102,876,264,046,495,820,686,901,239,017,437,922,942,250,191,046,698,133,
437,049,146,163,757,350,054,403,963,050,914,140,479,898,795,940,084,904,141,
492,841,762,220,972,940,651,835,458,017,015,130,494,517,194,434,634,414,368,
484,235,118,756,260,459,265,184,390,773,781,683,075,429,967,359,402,796,342,
275,566,998,163,412,713,910,323,886,745,999,580,114,320,946,524,444,811,989,
134,231,261,711,408,389,070,580,333,506,278,539,473,719,409,075,991,463,480,
263,007,761,895,503,912,422,968,417,504,291,182,509,146,190,295,218,132,921,
585,351,310,920,985,963,633,070,105,689,861,024,020,614,153,762,446,596,288,
518,319,732,160,795,040,829,316,351,647,455,353,573,579,597,361,654,496,964,
065,468,802,061,670,518,487,911,567,878,857,349,293,210,337,250,679,949,899,
838,440,980,882,381,684,138,327,664,024,373,648,867,153,933,419,073,671,600,
632,605,340,465,372,672,587,160,291,356,945,330,065,892,724,547,232,398,370,
223,008,918,774,278,082,741,825,360,155,248,741,967,439,260,683,421,131,896,
745,579,133,664,256,704,047,293,193,930,616,166,233,753,052,870,889,166,429,
448,394,299,812,005,885,702,619,990,221,425,860,796,984,436,275,205,391,958,
368,930,466,159,914,176,809,482,692,279,741,235,095,285,686,005,060,276,216,
702,276,526,742,027,322,958,919,972,797,206,696,941,761,227,853,041,050,902,
327,097,445,246,427,348,974,583,666,631,728,126,415,105,842,410,536,784,759,
100,309,073,894,368,496,928,751,478,832,116,905,011,887,354,367,342,693,356,
757,752,923,730,044,356,516,348,719,091,651,599,879,399,033,035,525,806,835,
231,688,597,072,941,110,680,413,486,042,356,926,126,338,051,793,290,703,816,
321,769,311,482,332,942,462,879,659,102,413,004,014,737,932,777,833,445,412,
542,404,811,350,503,989,238,025,853,126,874,662,379,853,023,659,236,486,992,
967,033,339,007,187,688,506,055,293,654,731,418,488,202,499,359,392,912,142,
428,155,522,319,632,943,939,358,038,146,841,837,073,010,117,689,689,756,421,
003,957,302,291,575,189,147,253,968,169,108,878,520,701,715,157,978,710,222,
820,458,715,637,309,513,010,883,788,880,181,706,616,032,871,109,175,072,791,
878,410,185,513,581,192,918,019,442,542,306,016,650,064,084,171,795,709,461,
395,174,776,158,744,138,745,431,036,769,017,412,795,614,874,791,197,899,904,
489,657,082,473,596,603,668,421,157,892,612,671,261,523,540,424,040,911,833,
199,988,212,180,785,561,442,617,300,221,527,999,844,410,519,806,449,458,044,
498,067,714,272,293,472,021,337,372,536,535,969,329,292,939,179,100,325,702,
535,557,839,206,953,960,065,326,010,002,981,049,620,637,935,844,651,184,448,
839,517,787,226,191,285,850,649,246,706,676,538,737,576,473,441,438,634,397,
403,780,229,209,251,986,958,188,341,615,807,501,781,251,928,605,552,435,486,
938,396,136,165,367,995,273,607,420,036,988,678,917,437,206,647,295,230,294,
412,988,570,523,087,085,432,058,496,550,353,544,273,278,577,094,716,200,038,
845,626,743,450,284,123,419,096,942,490,419,128,311,126,248,221,608,158,199,
720,082,663,322,434,607,824,321,908,001,626,192,601,094,332,667,628,759,935,
249,973,651,211,283,201,617,759,302,453,218,698,480,685,474,643,312,870,843,
169,880,999,143,128,240,386,268,212,235,822,968,231,252,843,250,976,042,116,
900,466,750,867,717,139,275,976,168,498,604,907,419,340,045,999,977,788,897,
245,180,819,208,513,100,316,425,328,071,116,797,836,111,066,704,928,102,257,
035,245,213,117,582,147,560,710,571,865,296,470,316,874,633,937,943,973,056,
303,019,658,670,767,317,725,763,189,422,418,828,090,221,872,327,633,674,325,
406,946,298,974,690,429,332,541,409,290,142,982,627,583,916,039,088,118,216,
400,261,834,960,641,749,498,364,209,537,148,081,330,312,702,535,728,767,538,
023,240,901,708,914,166,271,689,739,787,090,079,020,791,486,637,977,377,817,
996,081,152,405,149,844,644,794,253,810,146,635,875,923,226,404,066,357,132,
968,052,764,351,025,455,460,822,271,878,356,605,400,805,574,985,889,891,857,
338,620,189,832,145,365,333,655,607,343,348,340,858,418,840,195,241,362,168,
072,856,371,545,011,882,756,744,016,532,026,685,187,088,413,444,977,408,458,
783,150,485,918,296,610,658,819,006,953,657,618,423,513,547,676,579,386,162,
858,871,148,423,016,343,359,962,206,226,058,330,949,444,452,201,650,688,006,
134,763,122,238,133,742,063,476,134,060,511,491,679,246,366,424,466,928,651,
785,232,855,957,829,375,637,457,264,779,982,339,424,865,841,945,458,458,040,
713,364,531,954,524,914,862,109,560,952,906,476,033,221,396,250,597,916,796,
179,592,610,121,360,026,206,321,903,181,238,782,463,886,465,935,080,620,022,
124,340,569,842,572,114,721,227,068,452,505,317,173,184,144,082,002,946,049,
128,190,404,944,005,119,443,503,906,649,093,473,068,361,642,368,966,118,654,
517,548,607,863,427,380,755,554,074,271,593,065,899,374,058,035,259,575,524,
928,402,867,384,692,266,912,095,498,026,784,556,146,871,740,242,786,288,571,
248,299,114,387,836,801,676,576,029,271,744,222,448,062,977,081,500,798,640,
625,016,126,248,311,614,132,602,405,011,935,861,987,065,013,034,234,168,681,
991,000,321,603,678,461,409,224,153,518,586,312,371,719,819,017,933,023,768,
174,937,983,516,659,900,625,274,132,986,301,569,528,270,151,108,734,019,374,
296,647,860,454,595,553,218,071,357,575,034,901,837,663,662,999,515,558,822,
439,184,231,518,388,922,803,323,654,572,661,702,880,164,345,738,768,051,054,
033,101,199,128,216,607,915,945,478,110,084,541,097,858,888,666,398,569,094,
175,015,736,761,008,696,875,607,961,583,291,005,238,029,766,587,851,664,784,
099,513,447,289,992,705,323,503,478,586,410,968,537,075,055,270,596,721,127,
392,677,044,585,628,186,498,223,007,380,376,013,762,762,350,364,350,566,275,
532,325,610,116,270,261,065,990,054,617,425,264,678,674,609,102,095,911,134,
316,586,820,972,518,183,342,399,557,025,015,543,962,627,163,791,567,653,043,
553,735,165,571,046,556,808,625,217,509,991,009,020,464,768,599,076,841,537,
469,558,074,670,969,520,946,852,254,485,794,755,041,051,629,729,201,188,316,
215,572,441,928,253,361,230,262,620,672,623,262,220,813,746,453,915,796,878,
873,791,414,558,460,409,711,190,998,867,214,826,085,742,791,882,657,814,477,
048,290,878,610,041,583,664,919,312,209,856,700,769,023,463,050,510,534,683,
213,509,583,053,793,214,243,317,194,153,037,974,706,068,763,018,490,120,728,
228,163,465,470,881,828,717,485,575,218,269,970,213,373,460,878,263,206,862,
779,615,241,468,621,519,127,917,593,768,048,380,436,435,539,284,342,403,628,
951,360,591,301,385,931,491,915,599,816,671,020,671,202,072,308,119,650,942,
196,180,426,088,423,336,732,977,347,189,602,136,165,025,517,143,392,441,927,
946,136,952,944,831,852,617,006,441,760,342,115,182,797,676,543,298,988,028,
570,988,308,533,338,366,105,490,159,342,469,679,144,759,697,600,958,416,384,
138,283,536,683,082,885,828,756,734,816,255,592,674,362,475,397,757,540,769,
235,408,060,341,769,599,857,792,736,746,967,995,329,738,886,280,519,226,895,
419,999,697,649,955,558,982,033,146,517,120,585,666,281,888,277,795,023,216,
279,925,472,633,798,332,410,792,374,206,511,775,727,102,609,775,169,826,017,
881,463,075,451,351,854,898,184,722,335,533,749,543,496,190,769,223,930,744,
598,337,801,533,160,220,155,724,998,919,678,341,879,588,319,336,274,284,056,
781,592,654,173,815,202,396,073,621,391,772,056,758,443,796,140,773,806,651,
667,521,216,662,604,620,119,313,116,401,852,671,795,301,649,939,053,998,624,
681,749,804,667,810,795,445,907,739,941,869,883,400,099,426,210,834,536,503,
465,253,566,993,430,583,571,123,922,782,652,070,566,515,755,121,466,040,881,
349,252,288,269,288,326,909,534,189,736,757,961,729,762,679,987,385,665,929,
210,055,120,825,614,404,595,823,271,719,618,556,860,537,132,420,757,615,991,
145,923,822,337,026,242,533,880,101,612,536,269,958,734,520,061,541,905,134,
647,885,156,120,025,612,132,051,455,265,529,585,184,248,168,572,812,988,552,
308,275,835,261,268,334,057,751,765,927,035,017,200,890,420,338,228,386,640,
153,050,529,316,994,510,765,574,124,230,499,405,738,893,360,400,095,483,340,
544,739,257,881,246,443,267,149,298,415,856,554,234,184,656,725,443,903,251,
881,597,647,790,995,668,048,111,157,324,108,410,705,356,208,358,028,469,698,
892,690,062,567,099,561,258,365,712,002,837,602,500,007,255,386,631,979,673,
054,794,086,436,580,593,524,935,655,515,471,967,660,584,580,121,804,900,059,
756,342,113,135,289,386,984,429,442,680,478,837,343,093,528,576,097,337,372,
388,947,825,795,674,012,131,343,498,062,999,039,113,466,956,206,747,771,853,
556,151,502,580,386,477,834,249,395,843,967,370,921,280,224,511,710,239,282,
128,400,819,833,867,725,035,839,081,396,876,978,695,795,423,293,432,236,631,
194,050,443,302,396,103,695,333,492,359,005,783,273,730,594,557,028,708,313,
095,303,746,632,085,365,209,623,178,330,897,352,223,987,802,463,625,559,092,
765,879,230,736,064,326,547,121,491,178,587,827,613,038,394,630,344,076,170,
169,389,944,444,570,490,642,092,768,041,850,149,196,131,100,629,228,614,720,
166,409,612,931,783,590,155,217,249,589,077,117,433,607,103,903,297,309,999,
275,581,452,237,109,947,236,273,702,137,157,784,210,731,274,362,297,924,283,
781,569,294,079,801,705,715,754,314,011,683,814,537,237,855,087,026,915,809,
678,630,664,265,108,567,333,606,068,555,980,680,319,830,881,604,997,553,900,
733,435,348,267,566,802,491,793,281,029,538,144,282,139,127,649,071,808,804,
454,036,185,724,863,292,068,472,033,868,400,515,904,593,990,335,134,050,558,
857,433,568,650,258,954,950,211,989,132,674,539,237,675,808,318,465,468,463,
735,890,499,706,626,578,196,831,594,523,098,319,235,326,926,384,818,037,995,
116,551,569,911,863,801,501,561,924,080,180,185,979,010,855,503,170,415,332,
225,502,258,599,353,744,121,194,926,981,137,069,579,639,262,933,268,684,498,
913,611,005,495,366,206,053,309,471,323,506,093,820,165,362,514,710,617,980,
182,183,713,837,308,487,454,166,819,376,641,668,282,984,754,759,807,681,185,
390,649,441,436,288,755,188,879,591,697,899,433,995,841,891,150,560,834,434,
387,931,034,605,829,542,293,162,578,683,551,408,394,035,059,337,780,815,676,
260,591,345,997,321,974,961,937,067,590,566,956,583,027,372,920,373,545,726,
894,546,343,851,365,563,695,810,540,477,791,390,750,983,299,844,263,687,976,
666,096,151,163,971,433,984,040,864,325,585,751,024,205,269,807,226,315,744,
107,497,950,445,604,490,192,233,976,991,137,765,390,330,237,760,293,013,867,
002,500,883,459,030,716,232,997,050,961,759,092,944,691,135,044,340,156,968,
597,679,651,295,073,031,934,748,650,525,783,480,758,424,659,439,951,954,429,
155,605,567,910,165,986,676,363,972,459,280,013,284,462,819,819,334,514,665,
346,403,868,218,428,705,100,822,538,399,782,154,978,177,218,642,583,948,349,
780,294,505,373,936,596,095,476,437,641,091,745,407,155,853,055,506,079,255,
190,410,034,056,340,578,547,653,102,474,146,387,742,822,384,412,890,552,855,
079,522,453,858,960,059,441,994,448,550,374,804,788,693,038,553,742,242,587,
318,818,867,755,298,314,256,442,565,233,757,405,956,165,207,085,399,520,617,
444,535,235,124,950,202,389,692,173,306,800,800,637,776,129,207,532,750,089,
900,408,182,495,948,667,078,145,487,777,796,990,453,089,330,886,528,915,406,
674,069,007,774,711,575,925,199,637,491,895,190,286,743,527,366,684,855,352,
526,185,933,238,153,898,829,066,085,722,065,548,052,899,958,014,193,994,720,
608,669,356,367,185,534,922,083,598,396,513,127,118,970,868,560,606,934,299,
543,600,037,585,408,538,312,410,176,586,732,458,532,049,387,326,820,613,439,
123,811,928,262,478,171,656,884,506,825,226,782,175,117,814,295,880,197,165,
614,346,155,064,768,238,472,028,436,141,707,652,939,640,403,431,268,689,135,
522,707,127,548,802,319,370,118,443,175,560,080,088,116,726,427,306,623,111,
752,954,025,335,827,818,379,599,500,384,634,481,108,033,784,599,578,493,021,
123,100,554,159,566,266,327,737,165,306,733,298,944,584,446,534,895,504,069,
796,964,404,818,877,410,590,248,023,383,610,037,115,219,018,321,210,861,688,
749,391,107,718,718,007,467,057,121,647,310,990,202,612,860,436,585,097,846,
273,117,656,026,553,333,942,146,580,775,333,772,412,120,755,137,923,142,023,
575,854,050,340,254,429,069,570,524,066,261,100,288,166,958,332,156,620,379,
027,375,084,517,005,663,689,878,942,338,888,394,803,999,524,363,232,788,461,
429,030,423,198,984,431,061,275,046,573,315,263,293,743,999,607,006,456,504,
238,726,720,147,490,559,263,985,477,717,903,163,569,808,735,248,256,825,430,
061,585,494,852,003,866,497,011,794,621,067,738,394,151,427,384,178,838,494,
553,400,059,675,393,524,085,958,390,654,094,248,376,642,083,456,605,880,251,
167,116,817,416,909,349,906,929,548,350,207,756,285,780,215,758,724,302,692,
560,156,882,741,745,944,638,581,060,581,294,167,256,631,498,678,234,234,659,
254,666,748,960,416,898,991,934,509,047,098,336,609,432,042,241,559,236,833,
221,851,864,071,228,613,124,830,560,780,188,583,490,559,740,264,669,457,050,
903,539,546,126,751,670,106,092,912,992,902,817,622,442,894,901,919,670,534,
560,553,291,361,130,616,958,875,026,938,243,627,509,645,037,726,984,373,525,
401,044,446,744,390,394,453,927,978,825,700,129,353,079,597,438,523,243,738,
637,296,501,672,244,592,304,922,090,870,309,667,367,989,928,930,934,246,407,
485,982,084,551,771,435,960,984,703,965,620,253,792,335,905,804,241,643,058,
976,691,953,330,829,977,951,250,512,651,009,140,748,092,973,725,417,230,054,
473,203,601,417,397,069,621,333,548,121,289,177,787,653,135,636,481,838,958,
579,702,647,885,573,220,026,459,894,403,683,715,129,839,768,043,653,913,297,
732,733,487,388,024,014,719,669,612,920,805,736,219,811,754,365,268,696,418,
437,761,000,413,113,104,951,044,196,007,100,244,238,387,636,757,402,448,701,
918,000,607,713,084,849,822,959,337,672,874,490,149,833,196,304,502,940,746,
315,765,440,419,874,666,020,094,735,608,253,406,653,997,446,424,421,732,852,
386,363,739,418,021,582,844,935,425,600,263,544,064,573,644,484,374,401,129,
630,188,171,151,868,049,604,827,871,705,391,609,861,171,559,332,866,506,728,
572,428,112,984,655,804,988,036,120,350,552,024,039,178,474,153,689,702,382,
761,451,112,480,324,325,431,690,401,411,072,278,348,134,282,645,779,462,605,
792,815,906,195,852,115,467,348,879,137,185,170,950,882,663,226,646,158,351,
211,986,329,091,587,395,591,448,875,720,515,710,260,939,083,679,876,313,730,
067,076,768,463,694,424,950,403,196,613,470,551,132,928,662,875,517,717,966,
194,408,295,492,073,286,416,935,656,207,442,943,779,347,927,438,364,383,440,
530,269,658,452,354,984,963,506,252,602,002,731,062,024,755,139,628,724,917,
458,946,255,969,765,825,275,063,831,846,872,560,669,345,116,563,057,790,483,
291,393,760,763,963,454,434,853,018,405,752,615,350,897,796,065,117,169,509,
319,777,020,389,681,525,831,521,945,253,538,859,225,334,395,866,611,638,784,
866,663,858,985,136,928,924,432,749,926,773,941,506,155,283,477,856,403,980,
308,463,205,734,018,936,210,645,678,068,727,906,340,699,793,343,658,551,140,
678,186,675,460,271,739,815,485,673,200,847,227,927,585,857,008,683,724,586,
903,458,582,354,881,976,756,240,173,311,856,048,018,922,193,298,546,877,534,
686,528,688,927,529,861,115,884,706,902,357,178,545,008,291,152,038,432,917,
591,523,422,436,430,214,922,059,608,147,004,719,710,696,323,282,240,461,716,
491,210,083,913,434,181,469,856,741,073,286,162,782,311,509,142,793,122,336,
301,134,383,167,994,989,275,765,065,561,841,406,735,834,893,732,359,266,300,
588,535,329,794,785,348,610,045,990,074,128,172,436,214,884,211,088,197,605,
736,469,513,960,784,033,767,135,199,347,320,325,786,115,022,092,513,541,219,
972,159,278,607,704,441,188,765,937,138,490,619,948,583,117,059,081,408,493,
118,297,066,658,139,502,336,673,767,489,617,149,379,559,463,374,207,418,967,
122,338,504,287,350,890,437,125,455,037,891,030,824,783,417,779,548,763,111,
689,363,326,213,722,884,402,002,153,395,074,789,012,342,592,022,715,971,044,
635,403,882,852,537,892,161,869,502,506,492,062,994,678,433,405,809,467,403,
712,498,251,836,098,738,016,988,257,549,676,578,684,472,634,703,514,002,731,
425,815,284,187,006,618,184,297,944,438,668,658,396,535,864,432,738,352,247,
389,906,576,790,378,862,519,937,366,889,095,375,493,639,473,465,314,946,035,
165,542,952,443,636,660,298,772,239,310,336,099,267,809,342,720,082,209,351,
715,773,240,076,849,402,251,090,769,302,275,420,101,326,915,152,514,008,478,
865,137,577,953,053,573,679,792,025,493,109,616,041,495,309,923,577,182,046,
864,396,048,431,956,070,492,650,445,900,988,522,314,424,119,037,047,606,248,
565,027,689,073,377,296,924,926,053,484,672,626,878,502,143,767,771,599,898,
716,610,730,668,132,100,938,533,331,092,467,891,772,064,726,524,343,936,043,
859,355,503,252,375,805,170,884,211,636,393,939,825,203,165,688,223,752,166,
539,995,191,938,349,673,339,526,775,739,158,574,756,738,473,970,213,148,376,
331,892,637,428,729,916,908,673,989,598,874,585,760,145,707,450,890,206,629,
296,754,486,215,937,455,148,959,218,416,040,241,358,683,079,450,702,697,306,
371,531,725,311,013,841,136,867,589,264,032,672,717,694,464,384,372,608,156,
446,054,552,372,269,140,464,216,205,778,707,224,248,320,959,824,003,365,695,
938,517,922,088,422,981,216,067,723,680,766,562,145,249,665,148,013,500,494,
248,611,290,361,939,822,358,355,205,869,506,597,888,324,021,503,128,192,019,
213,595,273,566,661,317,404,716,292,040,138,839,765,188,257,610,830,825,610,
645,911,213,006,347,776,261,223,210,879,371,182,780,605,451,597,685,792,515,
187,712,390,329,667,119,738,115,623,080,299,897,857,312,270,907,686,375,555,
152,394,701,397,055,795,464,969,709,358,130,007,276,728,876,767,794,493,474,
959,071,213,645,713,230,620,478,747,520,856,021,418,290,590,109,269,221,513,
029,081,167,917,314,528,293,420,302,647,444,785,582,070,338,629,099,212,581,
883,600,494,926,821,659,061,110,563,029,662,076,708,345,698,826,744,675,172,
308,573,246,301,406,782,785,253,578,037,982,188,882,497,453,911,434,528,136,
995,389,368,778,781,016,817,978,013,424,290,655,577,939,337,774,993,265,688,
724,165,100,256,938,027,583,152,606,727,575,211,773,420,505,482,238,729,576,
578,973,342,087,669,609,809,794,085,821,265,337,060,100,089,939,848,132,347,
299,129,537,944,893,271,116,707,197,017,172,253,798,538,335,458,262,287,234,
702,300,525,815,514,453,816,121,674,054,947,151,267,231,289,529,114,873,414,
518,554,465,465,828,003,366,370,955,759,258,680,060,676,373,564,267,375,264,
846,964,032,247,677,649,297,293,885,190,372,328,302,943,483,800,222,417,946,
404,465,299,171,331,607,774,420,477,077,872,897,927,061,961,099,829,342,724,
253,183,941,422,903,087,602,283,300,631,625,316,875,782,967,504,248,873,754,
220,925,026,329,864,609,693,280,443,152,246,395,484,822,392,629,874,204,638,
197,044,884,694,266,486,516,801,184,827,469,984,084,182,865,817,969,256,548,
838,293,078,116,680,919,295,569,544,353,158,940,573,469,597,465,097,645,258,
178,980,134,589,662,050,048,214,376,716,785,936,949,519,499,591,404,458,671,
534,087,427,883,063,211,698,807,429,814,452,908,688,650,765,431,839,537,446,
078,430,536,975,179,109,312,396,321,287,784,154,298,138,712,389,083,401,995,
064,555,664,797,372,881,506,361,609,142,377,909,581,915,039,993,410,214,031,
776,058,112,905,865,559,300,232,090,147,500,650,371,185,688,721,624,352,798,
257,152,490,249,721,329,448,261,610,641,424,277,912,448,516,056,812,649,182,
674,504,371,289,281,766,594,316,455,454,557,687,719,084,898,978,044,690,877,
351,735,270,263,346,894,458,812,552,549,874,126,155,168,835,603,740,976,301,
254,167,873,547,180,399,876,944,269,889,638,868,651,047,567,481,006,203,898,
409,130,837,823,814,211,662,960,767,732,888,677,884,568,770,377,615,378,245,
989,319,639,803,497,257,045,359,609,153,693,015,323,895,764,400,042,561,337,
598,616,908,800,502,177,260,083,188,929,832,715,801,744,937,959,189,689,596,
313,694,737,702,846,626,529,715,317,606,375,580,573,318,747,562,904,766,391,
927,269,373,216,946,374,511,338,378,577,963,536,765,987,375,882,151,777,737,
216,740,255,299,986,854,460,046,112,864,624,210,629,272,667,739,231,794,900,
566,195,329,687,835,398,837,331,172,533,798,550,719,867,748,767,428,388,205,
722,947,004,177,604,345,014,932,590,558,111,192,913,072,307,017,582,409,952,
890,309,654,803,861,821,613,446,917,782,867,031,496,751,065,559,139,454,877,
742,003,951,376,242,038,054,141,157,556,301,477,030,790,109,936,078,950,948,
956,505,638,759,725,674,884,998,934,997,076,528,575,515,124,734,268,591,630,
118,916,066,199,039,740,382,102,364,444,755,319,789,338,341,473,109,206,118,
928,752,815,628,978,719,990,351,823,307,348,424,850,982,586,265,308,345,763,
841,571,828,369,135,212,575,345,371,498,968,059,219,699,664,080,289,398,377,
529,050,874,660,156,860,687,944,418,780,580,541,105,778,421,031,710,571,548,
462,092,770,818,168,562,808,900,481,460,834,715,516,666,574,411,461,219,621,
036,693,781,906,898,819,226,437,174,057,661,005,544,620,395,124,158,267,818,
374,740,338,261,565,250,166,491,843,511,620,792,591,776,438,843,042,687,977,
017,850,042,581,372,075,065,007,497,386,699,533,226,433,907,120,107,554,101,
536,656,234,252,289,982,976,375,222,338,770,004,656,486,113,878,978,893,697,
229,747,595,336,567,699,087,934,872,093,807,325,739,155,594,342,117,449,752,
037,596,117,046,218,292,073,064,158,337,436,955,571,640,338,957,346,188,714,
077,946,443,072,527,601,433,455,358,024,127,984,155,290,978,206,577,790,270,
671,101,337,701,135,713,311,614,640,751,517,911,375,413,151,707,513,252,798,
152,870,056,890,357,573,071,218,943,988,664,456,502,516,574,797,944,767,845,
677,232,151,064,830,368,050,261,570,680,743,074,681,432,624,069,043,073,121,
197,479,733,507,045,811,951,983,013,612,554,064,966,502,352,361,452,426,694,
602,986,385,819,966,487,639,506,984,801,922,828,843,175,736,074,444,606,274,
287,019,384,408,096,456,494,587,773,401,813,025,756,736,028,555,818,948,271,
851,076,179,143,547,632,977,505,503,842,442,908,927,779,350,884,980,762,965,
982,966,973,278,876,566,362,770,376,533,116,150,655,851,897,091,830,391,316,
136,729,439,404,276,960,754,095,802,647,316,220,857,462,246,332,361,521,910,
963,891,328,955,268,893,231,000,318,216,316,328,503,495,938,703,363,166,511,
960,125,387,807,638,031,448,059,387,683,946,931,081,668,275,834,040,373,040,
398,559,661,653,173,966,523,421,214,161,896,725,659,227,006,698,655,994,990,
164,623,570,177,968,646,458,107,988,838,985,607,016,592,591,273,331,479,304,
106,556,614,336,660,865,803,030,327,501,228,829,679,019,995,837,290,097,989,
270,371,725,544,370,155,010,151,688,418,351,635,129,006,617,706,062,577,045,
349,709,227,305,042,973,149,855,871,428,382,556,460,860,897,775,386,725,396,
832,287,329,242,472,277,333,720,320,761,973,250,683,338,852,833,454,309,189,
659,043,586,571,121,863,032,869,292,628,115,398,798,293,736,780,643,473,757,
764,970,928,259,430,357,859,492,203,519,180,647,303,026,360,000,315,622,489,
033,328,342,669,938,043,879,487,622,162,349,003,025,212,975,531,598,704,267,
500,866,363,860,523,857,077,456,576,688,181,492,018,482,495,380,587,233,477,
503,301,105,583,418,956,050,038,442,432,002,335,420,965,987,453,510,472,726,
270,556,774,113,061,348,825,914,479,033,421,335,815,784,268,645,708,946,351,
861,607,828,720,263,944,904,777,862,381,272,695,650,341,430,539,543,665,477,
510,470,262,474,495,737,486,513,579,178,275,529,511,592,122,613,868,594,175,
854,005,105,548,637,094,621,442,892,997,009,173,419,029,852,873,201,965,973,
177,996,724,272,149,945,527,731,152,552,861,165,249,942,391,051,622,767,443,
227,049,851,909,049,184,044,527,507,259,788,188,134,440,072,098,855,959,790,
252,691,068,345,796,395,520,556,552,250,436,999,311,932,912,769,939,271,868,
836,369,105,036,923,790,768,783,320,704,653,977,462,007,426,667,411,510,709,
684,694,167,127,819,356,111,341,284,519,203,354,162,716,077,433,909,229,209,
623,653,366,454,479,716,769,769,135,688,355,014,955,384,799,818,997,081,505,
379,428,302,585,485,820,943,384,358,484,425,619,255,053,617,613,966,337,053,
300,102,690,438,170,696,344,584,044,125,996,980,419,193,180,738,501,366,108,
448,428,769,006,153,305,935,912,918,021,316,974,893,894,952,338,551,237,772,
091,135,334,758,106,211,040,938,137,287,447,287,317,332,464,325,510,962,516,
058,989,064,123,842,718,137,100,224,689,959,456,393,742,172,092,787,209,500,
740,577,227,106,169,375,593,694,796,459,643,669,920,184,149,577,048,995,471,
663,788,362,663,918,647,276,158,953,141,664,644,062,217,285,393,339,120,441,
485,980,508,522,226,640,785,624,254,154,023,410,813,725,877,054,797,040,835,
395,249,148,791,520,408,968,341,013,087,777,796,306,046,159,423,330,028,396,
799,785,734,390,223,430,138,495,673,368,196,086,823,876,814,348,497,664,832,
644,692,706,158,201,761,462,953,269,071,617,803,394,802,548,192,927,816,318,
724,566,657,504,308,693,752,623,725,989,610,868,893,645,971,106,099,846,735,
364,538,525,350,689,594,899,390,590,179,573,282,372,311,561,438,163,410,924,
798,853,185,152,090,826,315,025,342,633,093,273,261,520,335,592,804,722,007,
715,388,161,704,580,101,382,759,779,607,698,640,549,529,681,612,142,983,805,
036,375,613,557,117,272,540,052,834,683,988,963,405,986,458,302,372,311,585,
391,510,365,083,199,550,787,052,253,162,063,715,993,180,568,825,180,878,472,
645,622,711,848,141,775,520,950,529,409,212,506,268,458,682,064,281,042,053,
133,722,725,021,814,660,124,217,229,155,272,313,594,070,795,719,158,241,579,
222,596,689,205,569,197,789,174,141,653,160,430,954,083,144,788,516,623,815,
796,414,915,244,165,887,058,173,131,124,498,711,750,467,615,016,055,551,241,
430,268,839,916,231,977,861,774,568,602,261,976,570,689,274,929,559,452,378,
555,387,406,967,601,456,439,361,574,492,394,988,090,700,618,600,847,910,892,
481,381,212,184,297,392,644,047,054,362,201,904,356,838,535,080,624,594,602,
347,709,806,101,481,395,936,906,567,910,576,682,214,562,797,595,748,532,119,
394,673,952,514,225,600,383,554,830,489,270,723,217,448,639,162,489,508,048,
729,005,274,800,672,473,942,833,089,536,557,984,437,530,698,171,179,729,023,
749,329,817,721,980,967,183,889,908,401,634,535,507,458,309,221,824,623,077,
791,419,013,721,052,141,307,684,586,189,199,897,968,032,326,172,805,758,679,
514,849,342,211,824,845,692,330,281,683,848,634,027,019,474,083,233,595,292,
857,953,913,240,071,581,830,010,317,561,944,458,409,267,975,557,316,135,775,
851,300,124,779,354,598,665,169,612,934,039,737,202,301,813,923,312,778,786,
010,404,144,350,246,474,213,429,952,390,789,876,911,843,985,816,375,486,912,
766,440,426,897,698,740,002,222,427,298,464,734,255,609,533,074,538,711,293,
980,953,902,674,404,824,554,006,722,834,846,767,513,952,268,577,177,662,012,
510,065,687,982,300,786,201,838,271,113,530,966,771,980,755,905,733,628,532,
516,389,928,863,632,398,269,407,553,040,543,720,843,250,916,138,193,246,811,
963,905,271,030,857,204,073,976,187,988,604,263,694,069,793,310,566,194,392,
016,527,537,875,371,666,673,210,171,545,137,215,201,150,740,407,756,603,288,
411,458,399,851,657,616,773,542,584,131,915,684,942,792,128,418,315,384,215,
659,780,057,083,735,575,074,196,812,589,812,769,502,851,786,528,268,950,143,
932,059,342,306,183,530,977,833,117,041,697,038,963,506,036,866,623,278,146,
529,621,083,625,466,752,456,143,863,832,175,885,618,239,389,405,187,839,876,
780,453,821,419,596,901,052,707,436,749,212,687,278,619,996,651,539,859,241,
905,490,791,983,027,645,958,024,285,593,693,677,299,713,637,620,629,830,258,
442,986,137,346,723,154,713,795,910,280,186,527,545,273,719,791,931,832,847,
380,222,397,504,201,401,634,418,718,432,900,257,777,840,673,220,838,887,735,
802,877,739,422,729,970,040,572,085,019,817,667,198,157,506,512,684,628,382,
517,969,294,803,373,778,250,131,086,070,481,938,704,705,641,590,052,894,311,
321,199,141,202,616,670,467,174,664,178,587,607,073,894,838,160,341,618,169,
140,972,724,198,191,665,514,512,794,592,084,270,821,137,716,494,217,635,577,
792,728,798,146,069,681,954,302,013,994,070,797,521,598,614,251,462,682,953,
738,835,459,986,590,765,577,185,871,690,145,513,728,850,645,459,263,983,015,
570,270,807,923,322,036,893,155,980,344,628,128,656,699,666,632,358,918,111,
626,040,340,205,373,901,584,216,927,980,572,912,748,469,833,750,798,808,186,
034,286,673,840,433,307,293,925,163,060,956,221,811,924,988,370,586,618,924,
821,464,983,888,354,617,591,655,045,941,795,501,931,745,087,993,223,951,199,
930,185,493,395,273,743,665,586,535,276,431,524,442,463,951,647,991,882,062,
988,101,852,031,143,757,658,596,777,540,434,839,953,449,381,090,114,705,133,
792,087,650,821,903,646,137,250,697,286,569,872,688,765,294,700,172,289,739,
588,595,368,239,711,162,301,109,058,439,254,383,217,071,080,136,368,401,095,
466,294,773,605,571,441,844,374,824,336,111,420,830,805,325,991,736,136,077,
608,519,576,606,206,197,755,901,596,156,807,989,317,243,488,002,169,370,250,
813,363,226,808,611,037,376,616,272,718,719,057,308,977,164,226,272,310,929,
080,227,146,896,148,942,753,412,727,794,257,384,622,561,272,400,948,932,188,
797,134,218,425,915,546,093,041,131,242,199,602,011,204,499,189,139,887,420,
192,319,565,314,788,070,412,932,250,106,814,757,655,099,508,980,089,096,347,
031,330,992,754,671,035,223,721,418,059,657,998,966,054,786,773,546,227,716,
778,377,146,506,763,376,771,122,285,827,352,447,130,176,834,050,248,113,563,
462,889,053,906,854,477,096,356,105,387,455,345,449,817,629,351,140,168,433,
891,916,733,869,192,202,450,698,614,988,234,152,112,678,091,279,040,240,200,
814,298,992,739,187,270,897,769,856,558,515,229,817,447,016,015,722,814,526,
901,268,464,168,775,427,238,239,810,544,063,787,001,101,393,265,597,674,020,
579,286,514,319,223,787,783,348,650,246,818,321,511,473,707,583,346,182,429,
174,096,268,975,388,703,100,909,008,710,386,508,393,529,812,826,398,569,843,
559,226,893,025,762,213,221,597,458,089,610,106,698,725,837,735,689,721,590,
016,261,474,672,027,944,355,972,175,620,953,569,515,903,109,497,956,989,723,
253,262,700,181,928,383,210,881,965,264,310,625,901,395,318,817,115,210,271,
329,717,071,367,673,358,201,614,280,704,049,105,361,287,853,029,458,920,222,
469,905,911,794,601,509,093,431,986,793,838,683,138,781,921,191,155,825,504,
729,851,070,467,641,779,711,831,733,807,079,917,748,381,394,618,515,908,553,
255,407,956,505,663,943,004,239,908,192,258,025,654,621,425,727,539,877,324,
887,824,912,556,760,005,951,872,277,069,310,288,874,926,740,840,020,621,617,
568,888,528,868,870,992,474,511,757,459,717,924,748,983,106,957,707,721,202,
827,913,873,503,363,270,533,398,656,958,372,313,994,893,367,642,002,495,019,
280,410,042,719,636,281,558,861,126,000,503,828,300,378,817,529,150,279,039,
768,771,360,432,578,731,458,154,326,681,765,256,565,312,671,529,553,106,946,
128,978,675,014,359,283,084,129,359,833,718,418,562,125,444,700,623,088,719,
843,554,533,708,370,496,792,024,563,873,252,872,739,199,855,745,046,061,538,
758,326,694,567,239,701,146,109,825,595,576,056,211,622,339,989,203,812,245,
555,519,948,243,314,775,775,323,370,349,890,972,345,993,117,364,757,594,655,
034,590,998,592,733,670,052,732,314,127,797,369,114,309,457,135,933,268,215,
393,407,119,893,962,643,742,425,180,036,646,552,487,887,871,873,420,211,970,
893,095,116,060,534,396,966,243,606,956,977,924,445,365,443,997,140,599,093,
302,721,444,275,576,085,844,004,037,584,995,189,349,114,696,103,429,509,133,
057,053,459,851,247,266,251,184,182,578,986,345,677,702,190,947,938,019,335,
556,651,673,093,727,309,938,507,106,842,114,424,941,284,752,823,304,486,974,
903,444,263,770,796,778,515,384,931,288,640,469,786,184,285,747,594,758,894,
426,344,752,139,759,144,626,919,142,098,741,356,313,712,055,157,140,598,663,
187,420,648,371,170,299,072,825,275,209,442,870,197,460,568,130,538,066,286,
585,154,226,271,620,879,774,325,120,048,121,195,672,214,349,672,275,107,189,
171,788,529,976,121,276,900,420,534,169,919,458,511,821,969,389,558,587,100,
518,883,524,914,465,972,489,397,643,553,329,095,119,126,808,192,517,138,425,
512,609,124,785,897,805,183,232,207,060,266,130,847,400,174,079,263,781,026,
674,352,481,369,492,534,791,730,091,637,736,338,753,213,206,150,110,370,850,
419,850,339,615,176,313,699,160,398,441,969,733,967,520,060,038,501,494,100,
182,561,745,353,296,533,002,233,461,487,119,117,037,188,638,500,666,801,664,
226,345,876,285,374,209,518,335,328,452,278,019,145,842,167,933,794,263,683,
662,134,934,264,461,606,745,152,903,324,060,844,894,474,853,216,491,211,781,
155,545,425,394,943,745,642,495,433,136,285,341,429,010,899,309,934,603,336,
248,538,675,352,921,743,110,356,038,688,451,677,120,372,964,219,582,640,906,
259,066,867,316,093,533,789,062,767,737,674,117,077,274,070,345,906,275,415,
140,450,507,451,380,794,079,846,368,737,172,004,594,487,644,287,995,126,077,
226,146,797,858,669,737,266,975,383,667,855,553,571,699,712,893,631,490,753,
942,685,610,405,955,335,313,812,518,987,608,334,535,617,235,604,872,248,511,
708,390,207,056,809,559,089,899,299,742,543,748,286,733,207,523,190,827,498,
467,878,871,324,962,472,845,620,927,725,369,606,179,262,033,681,646,993,911,
508,343,332,487,760,838,340,214,052,953,026,164,959,096,459,183,833,204,018,
917,625,828,789,386,232,033,474,943,118,259,639,241,619,143,912,555,211,656,
778,649,294,239,198,116,523,317,318,499,215,880,474,977,066,699,970,354,061,
250,839,918,160,089,055,319,456,096,304,983,077,942,265,293,454,889,098,176,
658,027,204,661,461,555,077,300,454,343,066,861,556,551,702,910,293,314,448,
307,222,775,944,356,533,068,963,016,505,248,507,478,422,234,698,660,942,553,
305,745,088,225,013,473,372,888,712,593,797,940,598,903,284,770,877,614,702,
736,235,149,388,113,326,390,155,020,431,844,962,146,352,387,125,447,640,662,
140,174,015,266,466,210,295,597,126,944,399,270,719,311,924,219,170,048,942,
393,471,039,190,020,484,751,972,044,067,865,204,768,657,438,949,939,254,115,
523,989,344,656,326,915,159,438,566,333,428,566,179,438,942,572,421,123,012,
883,021,315,426,407,986,310,680,081,894,503,172,063,241,438,948,697,039,854,
520,363,690,161,437,106,085,351,110,119,418,436,594,233,237,619,235,827,717,
635,921,739,269,905,922,991,031,205,635,931,912,368,603,480,939,818,691,002,
524,663,311,931,910,207,047,854,987,055,899,669,325,700,327,393,750,192,111,
658,417,437,786,548,366,642,584,580,467,227,713,951,566,792,056,277,406,221,
146,064,048,946,190,510,935,933,206,403,492,305,781,785,355,077,341,478,871,
104,783,325,838,444,333,695,613,385,435,700,758,097,201,000,169,339,791,771,
049,870,689,121,938,060,340,456,239,327,543,243,823,524,627,830,800,824,346,
043,135,821,985,147,768,658,228,455,932,156,543,150,611,632,834,908,847,262,
103,002,215,625,348,900,776,520,462,387,619,881,215,159,438,935,398,184,946,
067,266,244,166,658,399,317,267,274,526,381,560,775,820,185,213,718,739,560,
703,648,906,365,090,546,501,967,175,984,816,684,250,945,138,143,695,811,663,
610,208,499,384,566,421,503,099,239,756,853,180,066,957,672,897,438,953,019,
068,503,355,157,550,866,228,449,431,591,919,541,037,604,714,186,918,271,862,
068,364,866,322,745,300,831,116,139,200,014,911,371,747,326,036,489,372,123,
099,366,510,819,211,431,241,695,616,187,216,838,663,592,667,382,799,528,519,
634,701,385,328,185,619,593,740,342,978,508,041,995,056,239,651,200,339,211,
261,274,395,802,658,427,990,487,060,735,340,220,441,456,140,551,217,669,484,
315,040,258,659,677,765,090,467,279,785,590,310,480,071,646,612,041,250,953,
959,635,612,229,072,781,171,240,313,125,241,197,770,778,022,855,114,419,108,
727,331,909,829,340,737,130,129,422,498,878,985,403,053,859,499,990,840,837,
147,103,846,794,651,438,096,298,837,884,777,336,441,201,799,255,157,570,082,
094,294,481,271,203,061,084,488,949,864,598,832,675,524,778,440,839,006,005,
315,634,248,264,766,323,104,281,284,000,361,957,810,920,470,964,726,177,839,
048,363,226,428,542,715,561,446,185,016,777,761,687,709,051,212,391,406,646,
072,528,689,552,537,140,335,847,115,623,041,032,872,168,710,972,737,874,211,
512,321,527,073,084,611,904,806,102,883,172,171,983,587,970,263,587,658,641,
128,574,974,029,109,251,772,697,599,158,401,497,386,790,179,372,693,645,829,
378,372,190,414,399,489,918,888,998,665,182,150,027,734,070,112,769,779,477,
892,619,368,122,508,582,501,152,497,527,165,323,746,991,732,616,595,167,699,
296,417,434,849,426,299,120,022,507,479,761,406,564,257,320,255,329,177,309,
281,215,948,307,504,129,864,605,252,480,117,787,834,317,539,153,070,605,473,
941,460,809,159,303,495,980,432,039,198,634,120,412,973,795,204,089,795,994,
359,514,024,194,308,561,804,889,083,865,969,016,800,733,368,095,503,239,195,
687,837,722,907,878,994,259,936,758,160,705,395,017,576,037,336,145,577,340,
220,519,174,108,211,134,124,689,450,588,097,230,047,924,768,089,078,744,010,
419,756,327,608,388,777,794,558,481,556,477,509,876,075,955,985,525,613,666,
485,428,523,604,710,808,953,917,925,740,671,302,621,736,193,422,311,653,493,
470,322,185,828,165,800,774,317,790,941,213,350,417,523,213,585,110,361,653,
364,857,494,540,341,999,180,662,444,930,509,708,320,701,782,441,055,496,597,
178,951,505,181,637,207,251,978,667,784,042,135,065,860,562,302,304,851,526,
533,817,682,743,957,498,284,609,286,938,165,691,582,327,029,365,652,675,793,
207,120,319,066,320,541,208,841,353,010,021,506,851,245,674,445,060,718,986,
471,283,405,568,192,966,269,172,209,457,233,195,310,469,054,156,219,972,505,
945,039,463,310,364,452,356,227,391,281,060,728,828,045,797,143,771,388,995,
623,897,255,618,327,341,662,266,125,449,334,329,183,060,021,799,578,885,701,
627,561,949,740,145,908,749,751,004,008,934,635,741,014,685,867,531,255,155,
893,901,644,301,090,889,084,699,566,587,520,681,997,232,419,362,694,451,546,
107,283,474,288,316,714,217,152,335,482,144,256,655,219,075,129,241,451,300,
238,625,400,021,186,265,949,061,316,325,381,733,019,965,627,211,270,054,616,
230,198,754,170,638,070,525,407,803,430,736,801,235,561,100,972,974,306,077,
313,552,185,615,826,677,944,190,403,704,807,779,849,709,530,689,432,417,741,
406,446,226,615,080,398,483,919,743,215,226,727,507,786,370,730,344,336,600,
273,577,963,237,637,282,495,241,696,613,967,938,063,779,770,933,731,367,251,
244,950,885,729,803,323,568,659,554,052,935,110,442,218,606,179,436,468,051,
818,212,501,231,168,978,445,592,726,435,529,719,404,529,792,669,434,551,591,
361,299,578,158,001,685,343,845,571,784,535,104,068,797,730,030,005,532,568,
624,376,672,064,220,884,770,705,060,907,794,404,495,819,340,634,659,597,470,
280,310,257,602,371,773,090,628,078,262,460,645,839,297,874,541,077,586,040,
834,315,298,251,858,405,997,992,760,101,072,272,538,686,869,040,789,915,283,
433,158,526,884,166,517,747,131,523,854,131,545,300,144,516,301,585,687,303,
418,069,937,713,748,943,654,297,372,616,089,999,904,800,873,554,816,588,979,
738,880,670,434,483,915,495,825,996,679,096,152,407,746,784,853,845,213,693,
925,080,477,714,831,371,583,000,060,677,054,294,797,108,820,074,065,670,524,
635,925,645,199,457,784,058,605,081,389,691,769,281,887,451,222,843,119,658,
183,522,265,853,950,105,503,023,503,028,745,825,342,888,185,310,205,094,055,
866,519,528,169,379,975,253,346,286,709,015,745,501,656,602,166,313,040,278,
047,188,354,563,585,170,365,217,818,635,842,743,396,678,327,900,234,250,934,
083,115,431,461,870,568,108,876,463,715,031,672,296,301,096,192,262,032,485,
397,562,728,337,377,139,458,542,382,835,275,656,424,275,054,497,500,459,455,
363,283,146,673,351,432,817,878,705,152,013,597,974,404,405,511,746,834,377,
427,994,357,241,186,646,571,880,486,928,087,230,604,151,782,968,749,780,110,
553,621,474,180,354,194,476,082,388,003,218,028,085,236,055,196,540,919,483,
967,862,219,283,860,067,844,336,415,260,106,104,102,546,188,248,210,986,547,
953,982,254,706,120,806,601,365,120,715,943,896,270,953,118,933,800,676,482,
820,790,970,447,371,507,640,377,965,471,723,148,892,257,346,674,935,441,298,
658,478,500,793,324,425,828,035,830,062,153,744,494,581,488,183,813,027,718,
700,405,215,421,188,611,621,899,274,511,819,938,268,605,088,245,525,017,675,
445,143,195,039,833,631,437,589,094,361,431,310,945,885,981,173,855,469,214,
784,664,058,285,553,001,068,466,690,389,604,995,095,048,498,052,117,036,460,
003,584,890,464,109,092,214,607,370,298,873,156,453,310,034,032,065,632,600,
100,165,293,317,120,500,807,844,599,258,396,575,027,785,673,678,572,567,253,
970,943,072,008,906,244,911,261,586,843,623,061,872,958,268,550,611,589,778,
163,565,382,032,794,451,134,294,042,472,691,577,799,121,062,392,196,795,347,
445,279,224,751,842,206,051,174,749,343,918,829,301,578,201,310,338,191,329,
529,290,390,680,647,938,377,618,925,699,385,051,105,593,021,416,945,175,190,
244,637,049,689,176,885,956,264,234,979,065,141,057,943,587,786,409,051,429,
292,076,021,986,178,024,053,449,902,252,506,699,437,258,469,541,373,010,544,
391,131,488,626,452,382,278,178,288,778,382,384,349,927,783,686,325,169,496,
520,358,247,439,809,228,819,524,826,370,444,782,188,074,593,221,090,183,619,
727,997,706,165,900,161,053,509,295,861,880,105,045,281,452,171,236,369,112,
807,094,535,319,249,083,961,683,087,219,127,396,358,146,846,307,435,144,089,
050,428,114,237,240,706,779,862,099,485,576,394,978,471,778,396,413,063,986,
375,463,536,611,388,470,519,021,779,514,746,284,338,573,640,605,556,416,047,
360,214,509,615,234,486,438,777,548,810,088,515,121,690,993,226,990,830,310,
168,057,062,312,869,546,638,744,790,197,345,177,756,883,901,032,254,287,700,
459,593,624,197,871,915,265,487,646,790,050,812,319,436,243,682,030,076,559,
869,752,554,190,959,220,320,909,041,885,491,405,932,303,788,906,354,115,032,
155,266,467,667,379,372,720,317,877,087,397,123,242,616,329,399,378,152,150,
246,606,921,597,506,489,844,604,556,681,944,945,718,346,107,275,528,640,287,
100,114,149,662,031,972,393,573,182,138,849,757,211,781,679,541,224,272,311,
820,157,398,347,780,547,771,359,947,050,080,189,948,195,107,799,397,688,771,
324,087,976,486,986,528,306,138,586,312,573,634,424,579,533,140,668,286,165,
347,506,288,919,950,935,397,914,162,851,955,840,341,526,039,015,489,517,476,
376,304,806,693,212,151,279,870,596,411,347,385,409,778,863,244,590,146,377,
664,052,285,870,141,541,002,862,878,876,923,979,790,899,048,147,394,913,724,
124,692,062,210,134,737,541,200,810,361,782,130,160,247,431,933,860,446,337,
579,585,936,903,874,848,957,739,188,384,076,597,285,945,158,071,969,034,474,
267,549,345,317,548,324,503,978,191,955,483,280,854,095,173,519,698,779,574,
790,223,837,447,781,787,651,681,805,794,280,142,456,767,322,882,473,932,567,
224,165,353,211,519,473,721,462,415,169,071,545,757,470,059,321,183,265,841,
433,013,231,033,409,799,843,829,428,259,486,253,241,011,044,909,430,057,558,
789,356,415,197,877,911,131,597,508,866,930,160,051,679,397,929,605,281,127,
049,483,016,656,367,613,545,445,082,914,087,320,486,529,951,906,762,591,005,
342,865,410,956,674,768,362,858,502,878,402,435,293,509,128,017,184,899,046,
003,547,940,735,813,744,343,892,155,436,053,939,462,495,352,586,100,795,939,
837,385,673,002,000,611,801,113,402,040,936,702,124,141,896,429,659,922,848,
926,228,646,424,411,135,333,373,722,001,845,524,083,862,875,367,676,188,532,
612,288,976,717,018,885,817,498,657,142,108,650,900,362,741,654,031,005,136,
927,573,165,022,811,310,891,071,188,563,295,923,323,072,595,230,324,976,950,
343,329,535,399,394,602,978,160,729,344,730,687,031,786,123,417,584,007,914,
762,995,823,936,105,949,016,420,056,026,538,580,660,693,051,052,738,986,069,
601,013,217,169,519,103,802,066,799,596,684,080,904,960,702,688,489,355,183,
835,408,519,945,598,999,339,469,847,351,390,087,190,549,214,300,156,679,373,
410,242,955,473,453,380,068,751,463,157,280,323,977,167,576,010,321,548,394,
706,116,032,827,253,688,765,959,620,235,357,289,461,555,732,325,132,963,951,
456,958,462,176,227,387,434,027,812,995,956,177,550,102,106,803,929,070,160,
502,779,342,143,502,929,247,604,452,292,020,177,395,562,530,947,690,140,905,
125,409,981,158,002,585,554,006,916,845,172,399,338,930,085,255,913,581,366,
940,219,453,302,885,108,975,324,212,665,788,241,505,236,627,747,583,078,732,
595,746,069,836,129,734,409,264,091,928,721,127,613,436,161,302,424,591,940,
454,658,024,669,910,968,244,391,457,401,364,016,942,540,078,900,113,094,930,
805,927,553,550,881,744,930,693,319,826,571,687,687,038,205,032,752,925,788,
946,399,723,136,378,144,157,802,048,655,659,422,417,790,065,180,893,830,734,
057,932,895,753,841,156,439,305,362,992,706,954,966,471,908,161,924,451,795,
378,842,151,201,935,072,621,333,693,672,440,471,026,357,319,890,338,507,552,
260,963,540,897,228,898,612,576,921,759,905,793,605,439,162,958,043,499,431,
151,631,370,851,676,295,907,122,255,069,470,505,104,354,922,771,555,699,474,
440,312,475,538,652,974,516,325,947,670,617,786,283,479,728,249,009,116,340,
447,885,338,120,041,562,557,846,582,697,005,469,664,717,906,874,423,379,520,
873,934,922,889,266,289,461,152,381,437,455,085,543,621,334,846,304,615,231,
523,496,188,971,911,192,927,607,338,820,396,556,472,222,855,957,153,037,307,
822,703,333,712,085,075,373,207,930,807,437,731,827,508,754,949,632,191,616,
252,751,073,819,456,172,009,081,254,290,642,145,681,913,275,179,961,796,544,
117,251,245,058,616,487,658,423,250,595,922,267,001,553,906,666,928,927,665,
606,472,477,812,192,218,447,130,033,448,850,622,763,026,875,313,285,515,651,
110,761,175,826,963,369,858,108,760,717,937,992,808,976,530,538,636,730,421,
879,912,240,634,666,074,485,331,401,228,996,974,547,875,499,152,267,685,514,
296,483,041,271,088,168,671,425,803,083,404,548,855,120,408,797,644,312,168,
331,644,107,733,088,842,744,379,598,381,897,467,780,177,330,567,338,093,164,
199,417,572,854,043,358,482,724,530,604,226,300,122,187,952,129,400,764,887,
152,626,723,837,358,866,092,030,697,145,095,213,061,413,742,001,588,627,779,
930,225,111,802,440,922,020,915,755,684,293,008,980,845,013,042,746,045,191,
604,076,543,622,269,573,545,723,059,791,480,228,419,066,753,715,295,570,801,
236,412,098,244,009,202,223,874,004,211,662,540,153,105,058,128,170,406,383,
550,310,560,345,806,626,944,592,965,982,356,509,935,947,641,111,155,066,796,
855,778,812,263,474,889,604,936,071,651,472,101,658,669,024,786,056,788,148,
995,530,293,384,967,538,253,931,672,282,934,554,528,656,997,808,837,234,401,
045,469,630,442,862,796,496,582,248,141,711,266,615,663,441,270,835,990,864,
247,785,956,199,626,591,448,404,953,835,855,465,293,654,539,686,352,983,304,
796,690,960,468,571,123,003,912,450,020,920,101,388,461,465,058,025,442,804,
246,374,007,032,610,107,048,829,325,303,066,235,216,268,542,491,030,059,191,
143,584,621,040,086,922,555,225,942,718,995,822,852,675,039,276,855,093,302,
611,934,160,654,986,391,910,514,612,724,061,994,577,014,473,949,597,927,832,
468,716,850,445,503,828,462,041,205,397,241,012,197,034,362,673,324,632,774,
377,012,243,725,219,560,545,375,747,253,634,592,474,899,276,674,514,593,787,
893,490,364,777,503,669,777,621,542,194,251,498,332,480,166,746,630,863,210,
421,618,123,161,207,502,692,930,293,201,188,167,228,712,235,345,470,070,579,
165,471,908,610,434,740,081,902,410,404,054,147,352,048,429,175,702,038,216,
859,533,260,863,535,026,816,286,373,386,673,954,337,800,523,172,989,921,829,
402,784,208,667,925,079,027,331,678,652,365,058,754,704,536,585,860,729,083,
784,017,985,944,733,097,751,137,973,046,133,495,020,273,861,434,408,509,533,
863,631,891,249,871,611,280,198,079,446,660,092,637,803,730,293,431,237,258,
701,872,260,229,293,935,931,866,046,287,055,937,753,261,550,494,830,871,564,
075,663,505,596,960,968,340,509,912,511,274,113,234,569,669,236,506,598,887,
282,465,447,057,546,773,994,240,391,129,519,089,055,299,800,234,144,650,467,
797,331,641,297,156,809,509,381,902,616,504,489,828,511,523,696,917,589,157,
831,653,118,619,442,974,908,637,048,077,772,417,423,704,369,378,208,300,941,
191,007,820,233,027,136,234,900,273,841,812,026,227,691,267,590,831,699,070,
902,794,128,517,320,759,120,814,887,265,814,498,125,372,311,907,721,283,761,
698,702,919,625,144,878,761,543,007,333,937,993,485,173,729,852,211,811,200,
484,788,585,350,473,194,412,131,806,181,423,343,127,653,908,068,871,976,400,
214,012,986,946,637,010,986,367,215,212,268,270,679,077,854,256,651,247,083,
543,387,632,420,102,775,866,327,688,602,852,658,308,523,870,158,059,965,568,
129,552,734,330,062,899,540,399,599,255,782,863,024,369,104,929,528,529,370,
000,475,097,447,676,093,937,779,657,201,967,321,524,072,560,613,460,370,390,
093,090,447,677,522,509,639,224,021,796,074,267,139,440,841,404,359,807,612,
653,573,763,804,559,264,204,863,630,781,488,156,179,536,969,757,391,525,457,
716,037,619,448,577,562,024,300,594,220,178,003,793,701,144,315,260,769,782,
644,710,402,980,136,585,916,722,413,832,414,868,306,663,251,411,961,874,529,
173,826,615,051,767,005,627,177,993,014,414,396,829,002,850,588,386,135,204,
009,816,620,922,002,918,056,296,490,738,335,250,859,226,587,074,558,099,271,
523,328,472,787,727,603,096,097,182,902,199,067,337,566,671,476,833,910,482,
526,987,087,046,083,341,760,285,092,758,016,365,842,537,126,397,101,624,162,
448,083,602,976,300,287,551,814,102,013,616,300,112,816,622,363,163,771,261,
090,777,672,032,887,162,184,210,696,983,211,747,001,593,560,540,021,776,720,
239,507,109,294,737,283,991,557,088,908,764,390,518,632,768,619,901,761,827,
620,164,055,625,986,893,336,686,378,544,164,412,164,140,062,881,120,637,577,
443,701,712,617,151,973,634,720,105,121,230,721,971,109,707,160,848,725,983,
652,368,194,448,876,419,416,209,135,598,443,390,384,491,477,357,159,437,482,
449,939,401,615,789,589,562,198,818,152,816,530,484,118,406,743,537,446,636,
500,916,753,049,528,655,356,030,854,712,210,749,102,725,694,753,699,478,257,
913,614,427,061,323,662,973,152,887,655,530,662,430,588,020,186,686,799,291,
086,334,551,928,083,564,135,324,937,116,179,786,820,364,476,204,705,562,593,
926,235,476,823,151,549,044,483,093,956,434,923,474,312,161,234,124,847,682,
893,716,100,428,370,782,069,227,556,631,711,704,833,905,823,092,170,228,277,
154,139,810,872,692,357,189,330,366,987,535,807,096,567,125,692,888,992,885,
152,752,007,937,610,122,556,311,055,502,554,629,188,677,273,457,991,183,098,
051,763,043,275,149,601,813,110,155,472,795,084,673,281,908,926,058,117,415,
961,941,942,460,989,057,216,710,233,137,164,423,653,872,477,722,361,198,365,
778,821,584,537,969,732,026,829,959,510,134,018,298,242,342,902,397,596,612,
943,337,082,255,024,230,308,286,053,754,663,728,134,030,505,295,911,619,277,
044,974,056,924,937,961,827,329,674,017,875,332,518,419,409,042,355,946,469,
340,374,051,063,251,565,406,078,062,322,863,768,472,620,876,370,371,525,569,
955,104,389,077,571,320,249,684,246,385,273,485,062,218,972,270,659,987,238,
130,349,468,938,666,919,362,025,301,126,797,135,945,828,215,550,063,190,942,
002,040,111,859,000,080,316,278,920,576,885,356,553,913,650,988,872,511,656,
152,097,104,029,221,359,434,369,132,965,406,278,687,552,968,073,308,166,756,
861,918,440,787,679,539,202,754,614,241,013,486,811,847,589,134,386,020,870,
203,036,065,619,936,495,532,723,439,864,609,793,574,269,186,210,994,374,565,
078,693,356,448,750,788,059,999,746,021,163,957,800,486,565,018,445,869,362,
115,515,097,396,060,397,519,126,407,328,228,928,614,860,817,077,276,394,229,
245,250,792,020,875,174,237,813,757,557,782,524,863,212,135,348,150,345,081,
998,627,511,528,130,921,767,894,092,161,355,605,831,295,139,572,160,383,980,
325,544,196,354,528,703,778,248,051,513,020,510,826,639,017,779,141,094,701,
463,197,823,470,718,343,424,982,150,017,496,594,795,250,741,604,528,582,963,
827,051,513,689,668,642,925,821,231,398,415,554,810,497,284,381,332,332,080,
188,688,942,168,488,719,023,332,791,524,973,822,202,916,889,932,206,586,330,
209,248,478,886,185,026,029,582,700,032,135,502,942,665,297,921,523,493,520,
063,866,439,185,149,887,581,943,946,845,010,053,596,906,072,208,052,763,026,
237,142,185,520,599,241,986,338,460,354,919,372,970,922,435,367,868,856,909,
450,197,676,957,005,400,547,293,317,546,253,235,482,234,541,531,204,232,853,
629,613,798,084,399,022,239,119,298,219,444,048,154,201,999,881,926,631,262,
853,357,545,405,619,221,229,989,333,996,581,574,756,636,579,503,274,008,511,
426,079,934,007,288,503,614,549,542,907,207,031,399,011,944,196,937,813,438,
375,639,448,413,169,907,239,952,274,752,486,944,461,500,089,171,235,968,509,
576,183,822,329,984,626,791,146,084,222,210,802,924,845,302,093,142,414,907,
588,999,798,430,580,378,084,271,905,206,382,411,205,533,787,268,598,784,127,
625,310,664,484,613,002,712,099,833,843,682,362,619,183,732,052,340,887,469,
162,998,908,573,568,864,612,990,145,894,121,197,875,340,372,145,984,171,917,
221,637,776,254,855,025,962,813,045,148,479,936,481,815,969,064,571,866,716,
182,095,800,636,801,809,329,856,237,352,676,893,136,749,247,184,808,627,183,
000,770,350,763,134,264,802,906,191,971,640,082,809,716,761,435,236,263,647,
530,269,342,095,196,172,533,549,070,592,562,688,363,581,481,034,119,214,578,
869,699,404,872,328,582,285,612,412,851,886,089,940,062,332,658,103,376,730,
679,097,329,815,131,969,738,216,434,301,891,691,766,593,405,047,867,911,562,
884,281,504,903,934,708,275,381,982,953,588,873,072,674,129,299,888,478,784,
437,958,306,058,011,656,926,663,060,929,497,879,898,698,069,461,762,483,786,
067,771,336,620,567,751,860,336,062,893,044,322,925,097,512,128,312,645,645,
813,698,776,257,895,822,426,241,427,079,842,465,902,849,141,385,902,639,296,
182,792,937,731,331,187,130,359,928,978,942,254,849,645,164,366,067,154,340,
556,732,314,110,772,519,055,851,056,702,807,266,395,341,587,378,629,103,960,
297,352,179,964,491,236,518,536,242,117,012,867,395,084,580,186,577,478,745,
487,449,138,930,181,802,668,878,079,615,204,381,488,663,723,797,975,568,366,
499,467,573,520,547,276,730,341,176,471,522,136,743,305,556,599,419,129,704,
819,511,650,006,280,859,872,597,588,583,052,388,768,264,762,413,322,304,599,
516,577,027,608,647,663,631,739,782,850,067,267,653,203,142,843,875,517,372,
594,563,575,807,636,142,744,149,076,645,658,636,251,132,216,481,637,339,873,
089,440,273,207,983,874,073,545,440,303,813,681,122,341,410,565,808,461,459,
547,740,142,105,745,552,582,212,490,884,546,845,591,439,893,408,293,929,662,
628,969,447,701,574,835,494,915,572,664,898,288,495,870,557,292,531,636,199,
637,025,163,969,374,532,844,217,650,507,659,160,373,267,804,353,011,122,751,
382,318,156,667,380,050,637,119,095,069,278,435,201,742,031,520,924,603,450,
891,402,592,178,787,534,821,310,646,509,982,698,569,478,046,928,445,277,380,
168,068,284,567,965,539,342,354,207,653,592,643,641,045,508,271,884,229,196,
316,225,852,911,810,857,424,249,826,911,941,013,226,432,048,398,470,555,718,
270,937,795,137,242,163,716,327,204,223,891,881,847,885,730,950,954,300,182,
681,286,533,547,607,548,978,254,917,820,877,077,569,843,824,816,926,566,963,
248,382,756,391,643,559,873,233,823,864,181,560,875,574,730,296,582,778,985,
430,842,367,747,164,309,609,952,878,874,465,765,398,671,363,520,836,083,464,
005,528,593,254,732,682,114,396,062,933,498,261,397,239,685,658,010,238,854,
820,139,193,466,528,578,760,392,244,512,116,850,307,455,286,871,947,124,267,
361,336,401,231,784,417,684,037,805,285,944,642,972,368,051,861,946,485,264,
498,775,824,440,183,354,401,720,947,973,212,411,542,625,219,735,625,278,157,
821,032,367,662,489,269,453,065,754,833,981,613,122,998,805,987,332,604,077,
891,205,625,560,216,393,350,175,442,263,881,034,212,832,003,380,143,459,792,
269,743,651,650,016,681,484,359,749,190,117,122,268,910,350,411,837,510,417,
946,515,743,169,897,610,444,773,311,759,010,016,441,660,117,986,076,014,447,
669,196,957,235,082,954,637,252,955,724,825,793,059,673,895,466,577,826,394,
936,020,284,198,694,428,131,314,519,309,038,078,136,091,271,510,051,653,939,
655,773,370,449,105,710,343,225,014,355,926,814,211,286,374,295,435,969,095,
598,342,156,931,006,773,563,115,827,861,058,231,656,376,251,350,885,327,432,
756,678,443,591,207,883,688,422,078,433,728,921,988,964,437,113,443,425,445,
779,857,798,741,477,344,837,374,947,379,822,541,372,753,684,941,583,611,615,
172,100,489,573,466,710,261,224,837,860,412,132,709,886,293,192,762,826,186,
445,824,739,854,592,281,059,630,867,345,214,976,268,588,558,779,644,387,914,
237,210,744,557,968,428,907,030,861,060,490,707,390,865,804,405,704,991,890,
711,824,142,024,996,406,571,761,924,763,252,472,210,090,706,865,299,360,364,
226,085,766,324,085,325,018,336,486,056,466,992,121,633,172,636,040,187,572,
159,079,328,857,371,791,944,744,214,729,146,442,105,276,886,407,983,043,604,
268,563,098,463,414,200,646,501,136,694,723,353,570,008,340,045,097,058,290,
212,520,139,374,599,931,285,923,248,373,451,352,875,992,218,911,205,890,324,
875,794,953,140,167,040,073,351,484,420,214,395,432,895,680,905,599,587,257,
916,233,081,142,422,217,211,834,130,782,291,085,246,348,522,348,933,746,313,
990,150,942,435,336,843,251,598,683,323,016,935,132,327,659,267,973,726,252,
671,017,378,652,567,392,458,681,610,202,150,279,645,614,649,717,895,723,860,
191,154,180,536,928,889,596,060,582,026,989,945,685,343,646,938,945,508,200,
986,407,993,243,382,484,522,398,845,912,373,363,633,462,192,501,444,382,907,
680,263,892,961,713,265,840,110,778,578,761,150,166,207,931,740,334,574,433,
299,138,981,686,123,007,295,328,179,688,911,628,406,459,634,400,878,520,508,
201,578,750,607,191,483,137,512,173,390,011,064,896,366,711,035,055,941,984,
876,968,396,082,241,363,184,751,653,697,305,000,579,528,067,292,029,215,124,
733,882,243,164,091,291,882,492,018,180,799,300,246,830,030,318,805,866,210,
364,889,818,327,990,694,270,585,383,441,408,767,957,336,564,950,088,726,189,
301,207,339,732,731,191,997,556,901,888,388,682,059,348,949,894,319,952,505,
647,445,400,259,693,512,178,842,615,659,593,202,790,059,485,887,475,262,096,
912,015,113,428,325,660,508,319,349,255,733,709,694,033,173,296,120,619,187,
284,175,314,552,015,232,320,161,808,724,358,555,750,308,685,906,302,004,252,
830,182,047,489,507,003,440,480,275,226,676,133,322,884,247,764,584,640,238,
102,949,494,650,302,921,339,739,553,966,456,272,808,116,150,608,728,112,021,
185,337,840,707,010,038,984,508,396,138,856,578,890,315,853,721,507,336,394,
857,691,739,991,504,677,678,651,458,858,043,487,080,981,889,711,149,123,418,
624,902,478,327,228,758,237,437,776,704,183,136,403,965,012,250,742,695,566,
468,498,278,729,464,247,042,386,289,234,435,746,220,167,736,326,083,845,187,
209,157,425,107,447,540,747,124,362,286,511,395,427,989,951,154,688,401,408,
442,368,079,483,784,606,477,112,721,113,810,470,308,891,087,976,460,879,745,
420,634,223,684,552,212,872,859,134,556,966,367,905,808,384,797,251,550,291,
481,707,570,258,156,673,145,931,476,085,650,484,355,036,694,928,120,178,775,
632,153,598,522,238,054,067,151,248,303,127,945,207,008,854,182,454,875,196,
581,909,879,058,327,590,276,307,114,323,300,668,232,423,997,028,365,864,929,
291,854,933,259,721,299,960,575,389,519,136,161,354,349,212,746,678,926,085,
808,060,030,255,959,632,104,837,880,281,105,067,371,675,799,984,002,007,300,
843,961,947,334,798,559,314,413,671,135,093,493,595,613,155,956,329,294,742,
473,374,975,017,138,440,896,585,210,304,685,620,303,770,299,827,589,990,007,
671,136,723,190,645,278,826,166,863,368,231,095,992,702,905,319,155,717,817,
080,648,730,595,868,988,020,710,721,805,998,678,062,033,913,163,709,842,973,
298,310,929,463,497,409,981,779,285,306,143,225,203,760,744,691,412,675,893,
528,245,055,670,350,215,003,466,829,901,881,465,721,473,545,603,812,885,414,
295,624,002,896,027,819,946,805,276,539,296,464,180,981,430,217,028,966,791,
433,591,291,276,313,027,449,507,772,054,126,053,076,253,363,642,901,018,143,
943,578,631,437,065,242,352,014,010,209,343,263,389,013,908,681,836,434,032,
366,728,971,864,322,910,955,071,391,967,223,485,416,945,040,219,633,760,569,
756,665,255,877,513,586,034,897,357,970,988,637,998,577,970,272,269,280,482,
805,686,593,022,963,665,094,750,848,787,748,842,650,250,734,658,097,962,679,
054,553,060,080,001,341,016,226,219,456,762,574,053,826,651,601,219,833,716,
952,441,177,280,075,791,316,734,645,289,088,419,737,551,005,776,956,864,223,
641,414,263,232,262,736,736,789,504,057,040,747,301,229,874,695,039,429,905,
529,881,312,497,811,716,501,355,750,688,568,944,506,079,569,737,298,537,284,
172,838,402,524,608,465,502,613,664,386,118,484,354,335,070,064,165,434,923,
860,477,020,109,521,389,939,839,033,921,766,773,499,453,579,492,681,554,865,
984,396,166,066,414,870,013,159,606,654,585,043,672,446,271,937,360,797,159,
426,366,411,077,189,542,993,334,839,213,222,128,816,402,191,313,100,712,398,
521,580,366,915,002,007,338,964,089,772,419,129,899,516,354,108,294,441,382,
987,387,483,927,896,761,507,967,161,070,314,341,557,681,039,911,033,691,728,
472,839,225,808,971,600,220,027,930,450,353,394,552,792,143,077,057,400,475,
361,410,623,415,251,030,684,092,522,324,958,218,593,533,668,051,901,802,681,
049,227,953,310,214,479,590,910,962,019,235,168,670,880,299,736,558,065,583,
990,590,417,974,926,034,562,182,591,496,306,983,879,996,406,867,543,124,471,
056,113,109,785,845,547,788,869,795,758,282,621,973,242,826,117,338,216,745,
578,593,244,492,662,616,994,435,541,697,146,466,534,666,179,824,977,214,000,
415,738,215,566,105,073,643,296,487,711,536,371,189,332,364,573,433,917,909,
675,664,560,154,592,671,972,809,237,747,841,856,406,324,263,256,618,305,418,
254,864,874,612,760,023,222,819,936,666,756,242,058,274,005,378,034,455,674,
660,677,768,037,146,251,011,103,127,179,332,249,684,158,593,222,778,362,456,
749,667,529,652,416,047,832,129,654,740,655,208,274,822,506,460,562,622,156,
675,059,211,975,964,788,142,096,396,437,720,732,689,084,089,606,477,767,617,
571,359,777,796,461,721,694,391,455,446,639,547,001,440,350,309,815,416,547,
926,921,382,730,143,101,657,567,020,800,801,775,214,714,022,556,756,863,312,
035,526,553,268,961,291,056,527,939,460,804,033,599,138,015,425,187,612,715,
215,365,421,177,960,480,937,466,469,827,712,491,443,409,766,104,223,815,654,
306,068,067,088,386,310,984,042,429,919,343,695,460,420,482,205,143,524,680,
781,287,953,067,132,972,600,270,201,311,888,733,196,733,202,074,475,606,504,
816,346,221,429,591,859,614,222,289,970,813,903,362,117,643,884,635,275,487,
473,337,909,754,708,093,179,732,862,086,667,072,009,492,629,464,900,805,095,
487,909,228,847,744,262,878,566,781,250,666,116,409,289,144,562,323,080,137,
038,395,564,867,228,865,535,001,504,609,740,619,228,322,357,840,313,649,102,
405,007,065,815,994,965,625,988,676,513,830,109,984,957,077,461,164,920,634,
647,764,477,934,688,848,858,305,709,887,084,728,787,877,252,084,489,525,991,
154,793,899,545,672,929,094,483,196,253,711,129,615,655,597,586,650,204,715,
538,652,087,358,677,285,671,903,791,018,115,841,072,351,115,087,556,836,695,
090,332,822,741,071,059,651,242,852,861,807,695,492,308,158,043,920,796,326,
874,035,563,883,105,695,165,880,613,605,029,972,237,469,522,566,282,445,405,
575,724,888,667,605,907,063,866,529,712,616,228,806,093,843,514,591,632,149,
168,810,390,512,887,121,579,134,032,567,366,904,166,348,312,033,336,159,636,
530,705,540,612,307,452,616,217,855,182,625,274,358,229,952,679,436,383,569,
996,134,879,758,928,923,988,216,134,668,725,992,150,146,218,794,352,270,143,
764,648,893,204,698,524,797,188,488,569,822,754,437,983,862,487,861,835,076,
493,392,383,398,444,855,512,407,883,735,834,821,731,512,785,826,277,217,167,
845,255,501,369,661,566,786,876,885,764,335,226,736,807,777,098,655,732,656,
274,749,894,907,218,698,135,724,683,381,685,926,031,968,600,542,194,650,821,
396,429,838,034,471,795,240,079,733,570,120,646,478,220,306,355,335,678,997,
612,733,730,585,001,602,058,802,416,526,827,292,937,107,592,661,807,154,077,
635,287,592,731,338,195,170,193,457,883,402,133,353,285,722,914,596,433,799,
985,871,786,417,137,161,190,298,995,984,279,454,832,053,574,359,086,287,302,
734,898,224,792,691,834,416,358,349,905,718,457,304,064,543,454,571,181,725,
923,445,562,102,478,518,217,801,543,341,125,139,934,262,211,100,437,637,435,
038,110,394,176,735,370,760,950,725,327,124,706,073,909,531,128,594,934,271,
440,930,359,783,982,303,020,714,880,851,146,824,029,429,957,637,160,587,584,
667,876,028,475,678,675,239,398,821,547,824,109,589,051,572,696,709,412,258,
294,900,437,831,426,644,860,562,670,149,206,247,452,261,893,890,120,421,129,
842,075,141,299,352,987,819,689,556,735,126,776,654,448,110,287,313,511,784,
160,396,808,556,668,172,371,130,497,420,958,096,633,789,266,522,003,299,495,
204,693,823,541,149,785,201,562,515,619,564,002,441,740,885,833,361,648,864,
671,514,597,490,187,643,966,235,052,370,308,729,717,231,600,330,049,624,929,
513,580,715,476,323,437,093,361,375,161,620,057,786,753,783,098,918,853,963,
891,205,926,478,949,003,485,157,023,345,406,802,493,225,274,503,150,469,255,
704,697,912,812,688,779,621,438,313,204,549,348,333,401,728,117,773,510,621,
267,805,864,323,402,677,710,690,531,672,053,533,835,218,759,818,693,879,662,
484,231,202,566,107,950,922,612,685,387,459,673,190,639,039,544,737,895,939,
811,746,678,491,852,576,579,575,604,930,331,203,449,972,843,266,126,469,052,
807,446,447,077,378,811,808,545,695,497,996,151,042,416,981,505,973,794,465,
930,056,959,255,336,606,925,516,076,150,700,306,721,732,174,096,236,587,768,
170,045,868,445,207,879,041,519,828,908,062,822,772,649,902,971,354,795,820,
463,608,705,486,104,360,568,323,857,101,662,059,345,495,757,200,969,540,109,
401,412,488,107,315,501,241,705,291,389,015,617,638,622,961,080,770,937,405,
845,624,416,561,748,292,618,198,942,978,389,618,705,725,147,298,591,907,368,
818,407,671,858,635,313,943,269,180,169,903,896,657,500,121,347,156,337,317,
427,218,476,590,958,858,414,150,191,816,609,237,551,594,506,425,386,034,066,
262,797,088,591,799,801,130,698,875,236,731,428,123,901,671,707,811,252,714,
299,041,956,732,827,964,598,444,789,139,031,078,196,913,608,913,553,817,457,
275,982,719,856,294,497,165,958,590,770,950,606,455,887,259,619,608,819,296,
634,742,320,386,740,157,820,294,355,706,231,373,147,319,293,811,973,048,054,
252,205,573,987,401,663,347,955,441,027,505,864,344,060,285,311,626,235,427,
331,110,954,376,514,690,315,687,055,193,534,784,291,550,406,181,407,314,628,
145,832,292,342,024,273,754,292,421,871,240,411,528,681,028,367,005,283,927,
892,998,401,033,154,215,446,372,009,558,672,467,358,749,987,261,747,392,352,
349,814,511,305,060,091,412,123,151,691,819,164,717,317,659,913,067,366,203,
338,982,165,243,483,350,730,898,602,772,208,260,358,074,326,450,578,834,238,
673,211,798,951,851,011,342,035,786,267,904,575,361,933,227,672,144,002,840,
947,640,020,271,320,932,379,283,929,472,979,867,200,094,915,869,422,785,874,
404,923,208,682,218,869,772,040,442,487,747,542,740,290,858,190,027,394,547,
716,190,167,154,882,030,258,412,000,066,547,993,943,675,742,395,176,233,781,
191,983,989,302,435,104,398,510,122,146,010,859,054,305,569,464,214,419,791,
254,004,289,432,209,238,474,319,989,247,942,889,901,211,543,490,532,467,741,
446,996,922,045,777,826,676,208,890,084,726,717,943,265,584,203,747,690,439,
025,787,588,514,564,120,099,475,127,441,289,534,314,565,481,008,651,616,976,
929,406,038,681,422,036,943,344,417,749,122,846,248,715,109,861,386,187,855,
054,325,568,481,579,807,913,771,758,568,512,068,024,397,652,428,784,368,992,
925,898,620,985,727,288,106,146,201,692,738,720,347,715,376,791,680,435,029,
858,183,863,051,535,082,270,176,831,628,555,136,249,338,290,908,595,427,322,
428,653,314,232,107,001,789,553,565,208,759,065,522,111,450,162,104,371,359,
481,763,572,331,248,183,855,368,221,358,104,348,736,841,495,607,300,567,499,
940,288,463,660,429,691,016,110,857,313,296,216,151,835,030,676,694,932,221,
510,480,161,963,770,203,335,315,666,401,255,372,237,224,777,715,822,816,544,
774,820,038,777,779,721,737,292,568,349,327,773,826,137,750,116,715,863,009,
755,632,883,221,501,338,844,347,571,390,005,620,732,939,666,184,727,705,127,
518,898,852,871,392,683,050,668,703,879,772,121,121,809,543,215,091,511,492,
173,532,303,022,265,896,792,855,210,785,577,244,229,102,207,385,960,869,235,
461,707,721,505,328,616,804,849,121,887,111,240,263,943,529,540,382,602,028,
556,668,768,565,348,014,710,388,791,457,645,437,480,723,323,808,308,927,977,
032,238,998,605,364,347,410,417,826,932,438,472,320,417,886,020,408,597,885,
485,973,633,966,842,611,615,799,896,659,632,046,925,095,527,068,714,402,679,
589,435,151,497,944,811,199,765,155,124,213,955,884,994,483,458,569,706,833,
894,230,449,269,151,418,369,692,145,697,454,726,138,459,879,056,800,696,315,
101,841,959,676,928,481,451,842,924,314,068,425,953,522,874,458,949,337,620,
014,643,621,976,357,934,993,016,016,707,927,918,590,055,054,605,486,087,302,
153,448,245,661,236,339,570,998,233,261,285,306,985,958,578,464,592,781,032,
497,490,387,831,987,327,848,449,015,980,229,566,619,703,365,504,539,272,389,
252,641,897,003,571,811,820,223,796,093,765,872,495,424,350,170,967,834,367,
558,187,140,516,359,055,355,794,651,153,564,177,505,113,271,047,814,433,562,
477,534,140,131,551,075,135,583,535,527,095,737,463,206,590,214,649,830,830,
593,909,479,595,758,865,817,164,686,170,255,423,652,324,476,401,107,390,303,
474,122,027,210,070,872,262,143,415,138,554,036,854,034,904,599,396,684,983,
858,357,958,260,641,246,093,069,298,217,238,190,248,148,625,713,010,969,727,
064,222,603,357,530,329,864,620,888,573,848,004,754,070,439,760,695,524,165,
282,127,540,154,212,050,945,236,463,319,400,846,451,088,912,483,487,159,860,
470,900,237,675,817,268,355,004,587,268,501,125,478,032,017,541,663,231,441,
326,384,897,854,931,121,721,185,153,701,851,765,078,987,459,530,769,715,329,
582,262,856,830,027,629,374,748,193,199,899,131,650,095,748,924,770,057,666,
866,213,317,536,429,593,449,108,297,659,221,089,096,823,163,507,002,327,344,
810,081,653,231,043,833,722,345,950,058,976,583,373,660,248,619,491,063,775,
328,665,094,556,632,281,835,789,733,069,941,058,427,421,022,740,957,737,341,
899,371,506,607,820,882,345,930,398,219,579,078,875,792,846,281,602,383,437,
806,929,454,429,202,488,012,913,757,243,022,430,092,918,615,899,151,632,717,
486,069,803,950,515,458,066,338,943,513,079,862,731,224,250,601,001,920,994,
830,685,958,722,048,990,655,548,349,497,213,115,452,306,675,347,371,003,248,
413,004,590,139,686,769,288,449,428,348,861,876,582,310,046,974,172,334,761,
529,054,944,159,512,327,116,787,267,899,242,868,072,551,614,361,664,019,832,
756,137,753,447,934,418,343,706,226,430,662,665,795,741,869,673,806,575,236,
693,870,201,187,278,653,230,648,478,729,320,697,262,146,342,339,811,594,060,
069,155,755,275,815,302,186,854,891,825,761,984,704,858,427,063,788,388,912,
497,589,132,301,289,246,825,577,951,986,797,449,335,164,208,767,918,189,329,
394,478,955,518,737,417,249,242,082,257,081,776,745,898,821,562,073,886,821,
373,160,096,708,481,865,091,435,883,103,304,967,983,156,850,635,046,568,024,
420,279,323,410,243,041,836,410,687,263,404,585,573,222,699,473,380,994,926,
090,472,376,329,392,463,278,835,327,794,047,096,842,238,598,654,541,631,774,
837,237,243,427,539,523,192,880,919,988,982,844,772,487,702,093,278,068,165,
493,612,946,516,834,284,845,839,839,751,057,103,214,785,248,755,163,133,595,
543,524,044,668,252,666,880,074,353,333,504,353,357,992,298,947,092,814,760,
340,817,901,836,306,502,619,835,859,150,262,398,746,997,901,037,428,324,560,
373,800,395,212,544,205,855,056,246,051,355,288,195,497,900,726,397,372,275,
913,863,598,999,907,969,122,493,724,160,986,836,317,376,263,179,484,087,721,
651,907,647,941,898,187,320,685,433,879,108,819,242,966,912,006,036,581,227,
220,723,648,194,723,075,649,966,793,827,772,967,163,921,438,353,499,064,502,
372,667,392,639,467,220,225,102,786,886,124,470,234,613,769,723,458,827,260,
322,433,277,984,723,194,751,083,954,542,038,855,005,738,454,564,676,375,765,
311,891,758,126,009,605,403,883,786,044,578,798,791,420,194,700,895,148,626,
398,284,750,586,545,435,769,352,785,744,098,964,109,744,087,820,170,508,064,
270,286,303,947,628,499,925,651,109,896,888,217,522,460,767,466,036,294,308,
876,604,732,774,710,554,437,086,381,384,481,967,082,099,629,995,097,201,461,
080,502,480,186,254,513,532,696,390,965,876,195,384,212,117,416,567,505,371,
023,046,655,476,067,136,969,087,382,104,527,587,706,535,645,871,226,956,946,
764,746,568,250,566,201,307,458,236,697,865,680,113,067,283,132,006,599,118,
699,510,729,020,097,356,441,284,382,780,303,368,949,505,516,708,103,554,589,
201,515,928,122,315,625,747,365,272,895,340,932,731,458,450,631,951,007,056,
097,802,868,996,061,657,498,937,951,016,902,748,364,233,428,520,243,672,869,
950,541,060,793,633,067,513,253,479,253,699,622,377,886,028,828,790,226,773,
013,353,196,606,119,681,714,362,637,882,801,036,674,728,206,936,603,947,682,
849,990,568,923,637,115,687,475,967,174,661,498,067,818,862,176,758,452,845,
456,043,978,831,846,119,028,979,249,324,876,914,147,575,857,807,286,852,362,
661,995,240,259,288,631,177,114,850,265,399,580,987,132,795,677,556,370,067,
277,787,112,184,170,395,491,916,171,539,879,220,644,065,249,340,437,560,211,
915,400,913,904,587,417,101,718,558,797,783,981,751,071,110,438,903,689,352,
076,187,610,393,153,052,866,361,126,999,679,246,573,840,621,622,411,921,069,
876,441,160,689,885,663,867,830,989,689,789,568,376,570,439,085,953,687,183,
982,883,242,149,847,190,777,365,162,703,143,971,191,716,792,957,001,376,347,
910,586,207,281,399,401,596,002,772,860,513,926,527,057,592,667,308,604,198,
797,154,107,443,032,836,505,108,422,468,402,591,971,029,633,458,298,927,241,
768,700,201,336,680,041,547,246,606,751,487,661,544,414,304,100,780,325,495,
287,277,784,853,917,330,616,486,102,115,479,815,092,740,134,496,876,472,569,
925,641,283,407,884,166,165,356,953,137,377,272,300,887,619,507,342,011,861,
464,448,602,418,294,633,011,151,732,897,136,090,862,623,491,240,412,383,294,
001,242,898,078,923,980,284,490,616,026,261,610,512,538,474,780,077,625,964,
508,274,554,835,570,288,616,842,261,144,048,358,604,261,100,270,679,611,438,
858,969,108,234,476,759,402,416,709,584,553,282,798,494,131,478,502,491,796,
865,579,286,462,179,827,646,284,980,831,815,769,570,532,108,863,468,500,482,
180,843,633,280,549,823,004,230,132,554,740,961,982,636,251,311,100,934,193,
370,081,328,262,905,323,270,991,531,521,924,814,600,668,646,417,992,683,264,
984,601,570,125,395,898,008,534,959,930,719,865,195,719,473,100,581,286,437,
392,716,061,337,572,894,751,010,275,622,713,716,523,363,184,180,149,459,199,
715,986,079,153,427,048,616,119,039,131,192,089,569,514,543,874,889,198,642,
237,485,777,220,315,020,912,350,217,047,056,337,217,855,267,539,309,696,571,
395,792,165,258,260,162,220,664,314,727,684,789,606,613,846,416,856,617,638,
282,829,382,851,149,586,627,681,857,702,009,394,581,080,746,602,487,835,913,
958,464,096,187,947,501,018,779,763,405,994,408,694,643,608,313,742,483,401,
284,188,405,693,344,921,134,129,198,044,237,980,033,312,587,490,774,958,010,
126,900,626,904,732,729,822,399,065,691,317,361,515,542,943,866,718,419,673,
040,388,184,852,363,279,130,902,726,022,090,395,703,847,380,876,788,829,250,
526,525,564,082,128,844,355,055,434,691,605,586,821,136,988,101,785,049,255,
392,429,685,149,835,567,694,260,617,113,445,909,969,892,374,062,890,558,232,
312,561,450,293,286,684,077,334,852,381,553,189,163,229,652,020,886,769,682,
069,837,183,910,938,398,837,282,227,204,760,660,628,599,751,406,079,180,072,
856,134,317,288,697,542,030,441,944,612,490,028,568,278,339,576,612,140,635,
701,082,168,888,958,656,307,552,023,731,612,624,201,826,585,450,035,040,827,
431,959,786,948,846,792,465,308,038,796,061,074,388,570,404,189,541,369,336,
900,756,038,026,447,627,023,459,669,784,536,599,074,023,155,206,166,890,453,
870,406,815,325,047,940,051,199,637,489,548,333,580,869,449,744,931,238,975,
538,247,984,235,988,412,134,271,836,700,103,296,103,036,751,187,422,470,120,
443,391,325,356,116,599,669,138,654,008,172,329,596,861,132,134,158,702,588,
834,238,877,011,207,701,168,225,869,055,805,520,878,213,281,405,552,740,981,
594,487,233,229,514,014,932,520,437,973,941,200,633,561,074,330,268,763,401,
509,596,477,542,199,310,511,294,181,491,222,246,953,025,395,660,079,597,453,
816,444,593,730,007,857,032,555,477,049,149,594,117,518,811,120,887,640,090,
462,920,638,224,719,852,045,666,720,898,228,545,988,829,604,337,160,757,046,
717,157,726,309,822,188,703,343,411,797,022,489,270,033,591,646,657,271,904,
225,785,138,240,917,435,084,966,435,527,401,350,624,394,653,661,372,980,766,
883,869,976,889,929,543,759,332,845,139,137,881,488,145,867,556,194,694,954,
253,310,827,135,394,550,479,016,714,688,048,552,390,267,994,117,607,261,397,
042,405,639,230,156,807,007,969,292,150,664,605,168,482,021,479,596,973,680,
054,061,667,966,290,261,253,390,730,970,836,677,563,976,641,756,171,457,211,
559,436,209,320,843,583,216,913,656,542,408,931,305,307,350,922,929,736,239,
371,558,830,417,788,846,786,353,442,866,853,968,023,293,929,916,650,981,332,
785,143,146,603,998,234,767,042,548,512,337,394,848,577,449,209,317,193,202,
213,420,466,623,504,930,635,319,764,788,971,200,488,385,018,656,380,860,803,
523,218,483,673,620,555,899,643,191,504,965,793,752,864,392,792,065,754,565,
573,351,425,427,244,976,279,793,266,348,807,218,082,035,020,556,260,197,878,
557,023,418,350,037,856,491,006,220,574,371,039,098,838,113,212,597,065,157,
822,082,334,654,717,418,475,038,667,351,476,634,446,111,884,841,023,259,190,
905,367,342,049,794,816,546,457,998,732,726,911,416,605,584,866,524,296,255,
267,774,992,450,819,541,719,272,968,539,322,787,784,582,950,037,170,571,768,
210,885,662,111,820,342,659,471,489,281,558,120,506,579,204,592,370,696,099,
358,923,923,375,235,574,016,059,470,236,511,425,984,530,488,045,327,655,121,
805,394,821,764,920,026,751,542,819,316,253,251,294,595,561,897,266,558,212,
519,445,428,342,770,441,238,742,640,131,374,642,554,551,102,904,572,673,342,
520,990,382,963,324,557,992,437,684,071,937,252,708,504,672,542,711,225,959,
823,040,125,156,280,065,452,793,307,840,659,235,813,718,992,824,454,794,695,
407,857,679,306,869,745,985,070,154,643,034,223,346,898,258,492,459,128,171,
619,091,237,154,656,192,752,768,350,270,125,114,629,536,492,990,407,767,957,
539,848,086,847,639,938,087,563,111,358,422,600,026,999,195,421,659,835,853,
733,204,077,106,028,722,997,915,289,719,161,692,094,616,803,655,339,936,636,
480,721,824,427,133,475,867,655,650,692,480,657,164,506,637,056,610,781,292,
935,672,579,038,772,851,946,346,394,397,125,877,987,484,306,056,594,325,804,
167,963,158,053,899,588,107,161,180,616,063,165,867,646,916,513,383,224,449,
993,526,112,788,941,317,184,521,624,583,933,894,113,283,650,645,761,477,519,
765,614,457,091,920,740,756,658,700,126,022,623,263,580,140,449,448,342,204,
532,069,192,299,639,343,604,595,584,050,597,036,156,281,781,538,114,438,535,
178,443,733,517,885,238,541,287,697,130,851,545,340,979,518,002,416,280,573,
766,154,359,161,471,615,677,153,718,481,544,512,429,817,724,036,324,706,358,
882,030,111,562,251,895,278,089,864,820,006,916,158,928,297,626,840,768,570,
833,697,084,776,026,518,892,554,645,931,895,252,071,039,146,145,446,385,437,
354,849,184,567,100,539,430,873,192,729,067,377,016,285,154,877,221,294,338,
406,558,044,605,724,457,659,825,003,038,371,930,532,088,677,536,368,365,862,
485,072,444,666,083,754,476,097,838,949,302,935,681,733,439,751,501,457,244,
807,401,470,306,600,387,375,151,275,967,248,672,275,957,379,114,150,465,370,
794,415,952,463,512,477,425,522,421,604,105,715,416,280,363,775,345,154,951,
222,320,046,097,266,803,311,276,834,793,039,625,548,123,371,479,913,366,750,
978,884,155,387,075,307,001,692,922,309,227,027,086,126,726,443,817,008,872,
942,776,319,283,211,631,476,902,859,833,240,081,790,212,224,859,616,135,229,
467,230,108,324,771,735,303,529,531,691,921,866,861,838,243,392,109,570,726,
034,129,414,230,032,400,666,112,497,425,332,029,979,662,827,242,556,773,308,
984,220,189,257,045,724,816,023,770,239,761,292,015,578,225,678,339,104,545,
461,454,284,764,461,250,026,075,883,834,363,437,849,756,177,236,449,773,564,
484,350,317,223,053,027,327,340,129,483,418,615,848,003,445,902,664,080,867,
347,925,791,881,626,180,870,986,987,799,624,505,439,478,628,025,283,388,494,
113,127,766,412,949,841,138,661,888,861,612,116,140,368,412,314,085,882,953,
640,137,944,984,632,261,579,546,212,366,194,258,028,684,799,580,705,373,477,
468,744,428,759,142,359,844,978,291,084,066,989,985,206,101,488,231,340,756,
751,751,622,610,040,543,393,372,114,241,219,017,828,274,591,483,052,638,064,
185,925,900,697,362,823,723,242,094,825,901,326,855,625,062,705,790,995,688,
849,658,579,242,994,773,643,605,583,626,470,057,650,605,743,488,507,801,009,
274,988,362,909,791,391,166,621,367,395,572,596,176,268,964,765,265,041,541,
679,988,804,648,072,111,393,764,765,132,402,716,644,802,805,386,486,890,334,
244,623,566,336,932,115,392,683,123,263,228,324,623,948,141,281,649,138,647,
129,999,610,769,794,204,025,141,769,025,094,952,424,715,500,263,291,754,795,
726,143,191,283,776,130,385,498,191,675,408,868,741,521,811,372,185,849,507,
567,863,125,325,115,520,064,092,789,009,520,393,727,999,263,760,533,691,676,
943,675,354,825,469,704,775,871,106,802,850,091,673,049,944,246,057,040,906,
896,328,413,414,520,978,450,269,188,751,466,368,108,901,409,157,917,115,882,
485,968,605,708,527,306,778,346,936,068,346,393,979,175,649,735,988,083,411,
968,431,611,336,667,714,526,122,866,496,304,793,554,998,140,810,333,379,056,
055,272,224,733,024,193,360,074,476,566,580,700,367,197,120,842,473,293,235,
634,729,120,703,606,880,671,048,720,971,131,430,133,433,765,046,626,103,811,
048,645,447,656,398,496,546,067,253,185,917,738,889,599,760,413,589,865,392,
438,882,114,811,187,758,712,282,764,616,198,350,331,028,951,109,645,743,932,
851,992,960,280,908,779,136,109,284,391,171,151,051,286,241,096,966,465,469,
691,272,921,336,968,486,556,426,654,979,616,896,658,107,456,048,783,319,912,
609,959,172,062,314,123,421,702,450,488,129,404,521,202,761,446,975,589,836,
688,908,191,328,128,623,039,089,434,672,264,616,672,076,547,186,783,731,739,
065,148,278,133,612,797,189,970,272,301,771,687,507,889,871,680,817,868,330,
730,574,048,429,463,412,248,581,926,356,236,458,069,878,860,595,981,047,786,
112,125,800,538,560,320,473,182,704,909,677,219,185,809,802,426,698,116,029,
336,865,493,830,306,735,028,863,675,860,253,927,851,921,645,869,321,177,109,
784,495,105,272,933,495,704,414,012,280,339,617,557,167,168,445,595,625,958,
240,645,041,972,209,380,774,569,660,669,215,808,220,447,161,853,335,440,506,
017,563,494,299,744,048,278,787,991,190,720,341,308,939,067,558,172,838,611,
511,539,140,127,954,762,663,525,857,464,611,058,852,605,858,872,082,064,415,
814,062,478,337,103,335,916,704,589,003,514,793,028,173,779,948,835,397,026,
939,545,509,138,298,213,929,972,163,551,586,299,559,431,723,544,409,587,961,
352,530,017,631,900,719,333,129,718,669,111,384,091,574,289,941,047,856,623,
168,673,326,450,020,750,420,407,374,191,477,717,246,324,547,562,124,792,999,
391,472,394,280,619,229,008,610,780,249,420,826,264,756,043,586,826,193,351,
547,949,121,565,841,656,012,924,722,630,185,200,426,807,571,931,766,604,199,
894,203,799,738,188,769,051,295,734,247,251,048,045,554,590,885,139,040,910,
049,734,054,366,165,418,553,840,526,842,490,688,600,131,161,348,077,504,407,
809,542,127,440,496,550,559,347,047,545,301,558,018,174,382,298,691,103,208,
617,142,166,966,789,660,251,973,587,532,849,089,605,445,921,658,803,241,572,
508,575,215,490,809,699,025,825,762,517,097,140,440,874,628,430,746,717,572,
470,106,975,249,341,973,660,726,561,134,256,235,762,692,984,910,683,428,124,
103,472,288,551,653,838,936,409,148,420,029,974,791,128,663,857,205,576,432,
022,616,749,822,389,651,843,153,836,291,355,079,385,915,314,471,436,871,375,
828,986,024,896,333,549,414,680,200,221,806,519,113,905,978,700,168,720,631,
681,041,934,746,170,815,539,591,770,583,233,484,602,356,412,347,884,225,763,
772,905,427,428,018,872,492,079,736,116,940,487,613,540,045,670,599,316,486,
895,458,843,890,940,146,907,431,680,314,605,219,108,962,038,234,799,237,559,
227,284,923,181,875,920,470,955,034,147,454,896,750,653,902,930,700,897,418,
488,943,970,646,830,502,805,885,719,219,970,242,310,074,690,145,039,163,085,
649,397,840,380,091,769,447,107,031,393,074,903,552,196,329,552,491,831,771,
005,484,058,595,318,940,064,989,643,837,577,138,950,835,347,008,533,699,664,
910,682,054,163,865,163,680,860,989,004,534,902,114,420,584,882,263,685,497,
923,986,959,111,315,309,700,800,290,387,351,633,474,280,547,159,079,304,583,
711,846,046,020,773,580,715,455,303,444,180,261,146,437,384,339,041,463,319,
296,971,826,887,956,957,330,460,263,059,918,999,468,356,563,172,872,721,992,
625,873,252,901,652,751,257,804,508,551,659,588,277,953,943,458,449,320,898,
006,868,216,075,546,670,888,809,625,323,312,492,287,980,850,202,402,766,611,
586,557,928,878,276,128,145,582,105,898,861,774,009,750,984,888,009,410,191,
017,895,696,891,112,243,051,824,134,129,928,239,150,721,919,552,898,707,613,
971,101,882,977,731,867,599,159,572,748,722,703,053,493,016,435,815,436,206,
553,033,167,498,929,847,890,820,728,775,164,308,813,858,394,800,603,830,228,
620,825,281,366,386,377,378,635,914,547,645,441,288,333,540,446,467,872,450,
336,264,139,146,161,033,590,508,206,993,423,252,993,805,536,477,157,993,661,
291,597,309,951,376,892,391,578,249,558,247,908,766,810,821,175,599,445,378,
572,189,368,279,325,209,196,168,783,803,784,791,251,097,434,996,687,673,055,
647,099,347,603,685,095,659,705,264,145,913,862,522,231,449,786,460,956,707,
032,309,698,174,832,395,482,689,259,449,182,518,761,721,745,481,339,299,132,
604,126,446,872,171,705,870,218,079,421,414,255,884,756,790,207,499,067,003,
560,884,669,991,357,912,696,108,574,796,297,479,828,305,622,070,014,975,713,
380,064,864,702,912,693,469,247,468,590,900,822,571,131,743,817,402,550,705,
039,979,952,134,089,589,994,753,314,068,009,011,745,584,596,111,818,599,652,
431,617,457,145,278,246,865,382,196,045,193,549,359,090,996,576,060,762,686,
378,499,864,511,149,384,633,642,381,275,176,264,809,926,118,597,477,129,488,
415,750,991,030,215,839,103,691,435,201,038,817,493,176,343,550,902,559,327,
104,170,243,522,272,333,229,693,012,241,495,888,549,281,020,050,757,811,099,
933,362,663,678,822,804,883,414,975,937,542,619,139,313,863,980,313,337,089,
293,198,383,046,622,850,916,562,873,762,737,272,269,653,047,138,657,778,987,
838,527,785,077,882,782,991,207,924,138,550,668,561,358,725,929,340,816,157,
351,162,989,128,661,157,126,556,482,172,122,120,373,927,264,353,225,883,263,
942,376,787,678,663,618,726,590,076,369,655,876,071,891,289,787,171,015,050,
422,013,632,782,255,941,796,444,067,190,307,363,608,513,956,466,663,677,034,
886,348,199,549,503,000,369,916,729,259,106,222,494,236,231,961,951,825,723,
407,162,705,049,965,396,677,470,194,524,375,136,335,173,984,378,962,744,894,
535,368,374,299,454,725,733,292,125,510,194,036,995,315,533,979,256,866,385,
097,634,578,352,503,696,084,644,674,774,762,476,143,092,567,800,435,882,582,
350,445,283,198,836,268,697,855,595,908,553,255,951,630,047,931,898,723,110,
925,823,947,897,119,994,831,012,711,462,077,231,458,846,550,879,545,324,331,
199,098,719,918,066,093,137,323,802,787,212,842,466,586,091,162,198,153,407,
169,493,096,490,949,685,826,818,821,291,330,642,751,629,198,011,867,198,888,
690,472,389,019,430,089,717,844,502,484,110,449,275,156,757,782,200,167,966,
134,818,489,562,821,045,523,360,244,888,784,701,903,586,417,065,343,124,317,
169,179,176,672,101,189,723,729,587,605,842,868,923,489,748,535,816,216,737,
500,519,540,009,121,726,680,108,653,700,959,583,262,089,573,847,126,349,461,
195,860,192,920,113,751,463,213,186,205,061,332,434,795,764,752,884,558,995,
332,087,484,341,176,748,225,156,985,044,146,275,762,721,452,127,470,215,620,
179,748,710,644,119,132,777,735,896,030,512,732,832,966,303,600,147,297,589,
687,495,529,642,942,358,964,040,664,424,077,023,162,071,363,290,044,895,525,
749,094,411,062,596,962,856,914,960,368,637,593,443,776,551,494,425,402,002,
754,566,398,583,894,857,200,699,220,356,466,798,366,278,397,752,877,370,537,
437,413,177,583,712,537,686,013,837,243,559,871,366,044,605,609,407,082,878,
989,668,255,229,500,048,726,303,124,659,577,083,340,816,250,921,382,942,782,
624,778,694,732,963,853,395,069,670,974,798,495,479,445,335,125,924,957,608,
456,205,717,026,219,147,037,442,516,695,106,342,836,977,687,014,874,900,887,
695,822,404,116,689,035,525,134,109,255,466,197,735,424,614,226,933,054,049,
869,775,977,384,216,645,228,555,406,860,454,652,458,155,500,343,900,958,291,
146,452,979,219,867,689,862,793,742,644,493,875,479,613,339,456,923,621,085,
421,989,930,597,950,473,393,412,898,871,696,102,344,455,711,756,227,787,987,
830,614,402,381,474,046,441,457,793,870,287,680,555,034,765,422,738,514,504,
150,654,261,000,198,124,504,803,651,873,958,795,375,509,062,074,236,974,467,
472,309,474,070,866,883,452,526,056,977,761,328,360,748,175,904,164,718,887,
806,503,764,753,554,580,060,346,043,500,472,371,697,484,498,434,106,741,745,
194,342,011,164,130,093,695,253,687,111,553,129,257,916,502,654,934,198,447,
291,909,225,474,579,195,925,080,173,280,772,803,890,058,733,662,509,709,323,
548,108,519,198,266,343,497,157,300,790,709,774,937,746,054,861,153,456,235,
595,390,886,013,626,291,208,692,363,227,618,826,621,407,094,410,630,619,114,
080,204,650,452,414,781,677,762,701,241,500,346,691,554,809,885,465,356,840,
733,708,140,603,537,395,312,437,468,309,264,165,675,785,712,639,685,823,142,
336,447,689,863,978,567,467,126,305,694,442,139,662,956,041,146,014,368,302,
263,399,006,273,571,078,148,350,203,151,043,040,706,984,647,036,074,149,491,
431,832,045,239,347,069,426,067,305,312,529,282,289,227,925,066,375,181,058,
453,294,978,152,490,679,586,562,197,748,649,062,674,832,672,983,390,139,036,
007,763,934,868,198,187,854,110,807,336,350,937,803,863,858,552,585,921,614,
199,898,914,991,475,523,584,788,482,767,442,548,769,106,465,741,489,241,510,
756,448,811,015,741,233,442,121,244,502,365,273,027,928,360,541,875,160,172,
087,650,641,366,900,706,129,829,329,199,577,362,214,131,088,413,078,460,897,
023,142,570,047,456,950,927,399,240,764,071,115,041,964,250,692,003,664,329,
861,249,432,820,267,876,149,171,678,678,723,495,139,769,311,251,365,084,240,
144,872,012,718,259,544,415,022,214,044,010,649,794,387,780,850,784,564,063,
366,892,606,523,349,658,290,600,535,028,165,700,781,991,549,785,768,724,332,
909,383,089,279,782,002,495,281,397,526,833,764,913,926,417,300,605,733,580,
806,490,727,725,225,282,232,524,080,105,270,054,009,114,043,111,430,227,350,
160,525,767,141,595,551,209,758,553,274,628,653,447,342,668,415,524,007,266,
696,847,471,198,911,117,566,968,506,432,242,353,478,168,851,506,545,314,919,
612,954,358,528,707,222,237,985,426,251,434,021,413,716,735,218,680,803,952,
046,847,045,336,598,198,189,232,081,385,192,511,545,324,365,983,899,596,941,
655,740,580,541,992,882,045,675,474,246,008,716,678,477,420,495,355,097,403,
200,887,396,001,564,556,189,807,665,625,460,521,354,208,849,453,535,750,141,
508,572,745,144,652,296,601,931,535,191,223,718,068,567,764,412,985,681,941,
651,731,843,897,163,219,068,157,916,696,976,274,545,749,574,510,213,645,259,
448,159,825,827,923,925,170,782,208,466,591,086,852,425,156,905,028,183,459,
426,009,605,105,440,471,581,493,159,186,657,589,516,999,391,038,119,927,391,
951,655,165,513,472,800,007,628,377,916,409,172,270,845,263,371,557,802,514,
903,083,097,965,480,595,587,527,072,103,549,852,498,770,268,927,001,957,793,
639,284,893,782,807,698,436,675,817,480,366,316,428,051,913,499,388,163,705,
637,491,733,586,653,815,962,376,251,284,030,648,015,023,454,564,310,781,578,
231,639,250,968,271,365,768,097,807,469,002,016,286,764,610,832,176,269,439,
692,119,526,123,024,523,712,094,372,173,456,801,038,357,910,071,102,947,580,
070,608,569,089,929,073,339,787,365,365,592,713,243,850,403,682,594,054,704,
570,075,202,456,610,606,651,865,330,093,135,475,799,247,232,019,369,795,765,
218,166,192,579,996,978,726,856,492,377,943,164,658,366,276,634,721,076,170,
185,365,761,281,757,226,509,203,147,599,261,707,846,306,914,011,183,287,780,
459,272,152,955,250,715,247,888,398,835,367,831,133,320,901,380,096,837,553,
462,912,370,592,564,748,803,014,309,181,744,378,963,284,345,048,685,398,635,
792,003,623,803,703,075,621,533,108,027,490,108,429,678,194,101,582,422,574,
462,405,725,663,719,034,472,465,362,488,899,846,057,915,577,716,350,044,221,
468,657,991,423,128,898,730,608,637,720,527,018,901,544,254,374,205,155,678,
912,040,180,879,592,218,105,772,960,767,401,434,508,864,184,426,691,356,544,
715,826,045,737,507,718,759,293,249,552,019,078,407,769,664,362,766,335,320,
740,129,025,380,899,577,425,544,217,537,779,637,780,093,785,123,685,443,923,
154,690,755,378,229,076,270,712,965,721,157,438,531,965,013,082,218,959,091,
496,844,971,876,146,472,923,377,583,099,118,386,501,166,454,555,574,807,961,
335,765,818,085,176,740,384,078,465,676,664,925,844,214,380,142,946,359,035,
765,500,859,421,144,437,223,631,884,457,388,024,423,607,273,529,862,094,646,
957,308,558,561,427,732,176,558,067,567,452,510,464,601,942,720,948,470,257,
471,469,001,538,660,804,481,471,945,968,169,029,712,171,757,778,802,868,252,
410,980,561,897,709,824,584,369,541,302,542,901,688,665,742,150,999,968,333,
428,866,262,283,554,216,246,276,390,338,215,994,700,321,392,898,788,078,614,
669,058,494,499,643,608,554,409,292,747,285,390,696,438,166,509,801,412,244,
513,717,038,923,310,822,242,710,949,345,036,272,415,823,955,483,277,989,430,
913,093,009,894,516,706,924,717,417,392,223,560,954,266,347,178,073,241,463,
917,719,473,360,989,288,630,025,617,843,932,436,838,257,665,052,869,986,232,
313,795,335,010,440,499,219,064,168,422,879,258,159,689,199,016,298,606,232,
016,587,202,383,856,953,453,582,363,830,910,489,482,842,468,418,172,416,077,
277,368,371,335,522,422,388,622,336,994,861,203,512,727,530,636,036,877,780,
663,911,735,129,055,247,382,140,127,694,114,376,514,963,814,114,547,753,130,
188,940,320,833,888,920,641,618,959,220,531,494,838,157,134,414,651,967,419,
114,089,557,123,441,980,398,869,978,192,151,064,885,548,889,762,081,546,928,
747,612,207,564,378,918,160,668,098,806,332,974,608,343,973,752,213,130,728,
518,872,273,270,754,048,787,204,747,221,990,436,994,302,840,683,460,314,359,
390,341,732,242,276,513,266,900,949,820,773,671,965,140,722,623,156,952,849,
504,513,509,851,114,666,224,865,874,982,058,090,304,598,056,582,859,860,971,
835,551,895,504,770,381,207,892,074,355,068,144,780,012,537,039,173,654,061,
890,502,667,527,571,352,743,389,042,806,360,465,706,390,499,725,636,288,057,
973,332,066,817,349,361,132,705,037,312,119,416,487,912,459,898,258,854,925,
751,925,851,061,360,506,371,074,218,996,795,604,180,171,168,026,809,808,335,
590,776,958,884,480,843,657,336,179,468,176,622,338,690,994,102,067,163,291,
093,319,305,903,856,799,278,586,699,027,884,995,474,828,759,147,450,984,754,
379,454,368,289,703,926,552,509,180,346,669,086,953,505,442,961,787,258,438,
904,822,660,078,956,798,212,297,107,896,951,670,984,233,851,519,265,757,763,
208,299,827,970,102,814,864,813,865,529,213,917,090,910,357,589,519,424,727,
002,355,734,462,056,542,668,181,802,891,325,761,579,836,072,069,212,134,000,
478,450,252,945,631,555,801,807,527,570,967,553,671,182,501,197,207,616,703,
240,882,322,377,748,037,898,044,783,944,746,713,127,817,988,209,657,348,737,
868,583,077,952,729,496,536,525,899,777,723,104,577,584,366,702,861,171,253,
116,297,970,909,717,137,356,560,666,840,941,469,640,216,350,520,509,139,028,
692,662,183,560,938,818,607,593,311,807,673,388,694,469,392,748,740,267,691,
442,032,155,688,790,390,762,626,709,253,340,210,147,723,588,000,159,708,691,
740,298,032,107,789,049,435,966,896,659,769,777,131,485,424,998,472,638,709,
229,384,380,595,094,134,823,434,369,068,242,302,821,097,838,183,246,005,418,
993,538,538,079,086,886,039,360,558,729,618,134,505,336,913,021,136,678,239,
612,749,663,416,376,510,093,839,003,888,701,214,148,734,111,897,863,030,680,
439,656,676,196,178,655,366,287,652,223,259,487,763,262,859,352,462,768,667,
971,825,740,791,441,523,391,925,926,485,616,734,463,786,685,803,297,573,727,
827,050,172,379,899,319,252,470,125,228,377,882,687,944,289,885,460,428,242,
053,766,334,631,639,515,687,904,617,638,949,728,385,449,472,748,848,056,277,
561,025,380,053,062,920,549,601,509,687,438,899,263,074,632,137,072,296,685,
439,797,050,221,159,247,649,029,909,861,252,308,886,386,604,811,560,035,208,
793,520,166,448,474,116,995,903,167,309,478,451,089,012,626,476,786,889,958,
965,349,748,854,451,627,730,585,537,392,097,772,158,065,643,567,291,482,075,
116,132,043,597,582,000,441,615,749,815,787,496,640,575,651,146,371,519,477,
268,790,325,572,688,568,622,080,911,517,978,245,462,903,551,574,697,140,720,
039,331,062,510,664,729,079,573,321,614,581,681,324,856,039,152,291,977,291,
234,756,340,987,183,211,250,759,760,006,980,136,955,544,338,574,068,573,238,
472,425,419,075,167,106,575,264,964,614,176,333,016,758,646,927,770,510,029,
485,766,739,772,562,959,890,851,562,498,091,288,921,248,756,214,566,067,704,
804,217,746,652,020,889,564,392,781,300,414,466,875,727,526,975,550,930,688,
648,986,403,133,611,459,476,531,028,519,638,949,837,992,099,494,238,284,312,
482,236,677,032,785,647,441,937,291,887,857,306,526,062,420,561,569,605,598,
255,509,474,322,994,745,336,071,367,180,686,358,257,485,334,549,869,319,415,
108,947,150,146,360,294,183,454,669,498,021,752,718,078,071,326,818,174,505,
060,612,429,188,994,454,685,896,452,299,963,122,670,576,768,814,869,979,163,
214,531,094,948,436,698,497,086,322,875,389,230,218,040,361,214,501,434,316,
910,006,270,931,588,519,008,647,007,144,282,336,799,220,319,049,662,089,249,
567,038,790,766,268,709,706,189,132,373,724,090,607,969,608,236,857,873,166,
373,126,066,252,027,237,873,795,894,108,761,344,578,041,036,260,938,110,838,
274,725,426,847,493,066,661,924,326,917,123,736,120,137,463,336,252,796,457,
547,881,740,343,804,904,709,127,961,829,105,372,835,498,930,944,062,160,137,
470,965,365,483,880,889,164,893,786,058,822,516,122,627,370,985,030,836,873,
664,877,284,655,572,617,250,594,806,336,005,792,417,214,547,855,849,756,488,
792,011,878,686,299,991,286,724,252,624,316,741,943,036,576,349,551,858,410,
787,501,105,090,161,934,538,882,759,786,590,903,641,608,492,359,481,650,983,
460,485,348,881,488,873,406,661,097,819,483,919,508,351,285,637,637,610,804,
976,886,912,150,695,150,569,310,323,192,075,231,034,693,181,682,147,293,930,
728,716,800,453,642,114,542,797,940,600,834,803,149,570,773,259,130,536,826,
542,767,727,233,102,745,362,264,933,445,234,153,329,995,496,977,219,966,380,
531,107,614,996,516,276,480,459,599,869,181,271,443,976,297,258,956,160,519,
039,264,664,925,144,234,565,256,222,121,876,636,670,662,426,136,239,788,640,
658,150,784,387,415,594,591,466,419,167,834,377,285,619,348,607,767,119,327,
160,994,281,652,997,464,027,563,799,877,897,519,363,530,901,625,686,840,571,
096,461,534,324,600,068,741,990,329,188,084,700,081,973,615,672,772,699,503,
706,050,559,183,103,526,056,173,788,432,417,682,725,895,199,641,762,271,209,
357,503,435,957,532,877,637,526,151,991,862,805,772,905,696,168,914,557,401,
838,006,343,236,374,231,978,153,411,460,374,106,245,132,854,706,399,672,734,
370,629,591,514,456,403,293,052,531,280,676,033,316,187,941,477,747,367,485,
971,049,906,965,093,170,354,917,063,403,258,366,635,962,546,699,842,005,497,
226,171,732,980,288,125,158,275,263,555,492,179,312,252,402,627,007,757,511,
015,006,679,902,945,924,230,025,182,935,967,904,249,071,657,759,592,044,584,
495,942,085,013,748,748,943,928,930,930,077,293,086,485,432,365,262,772,016,
769,228,555,327,694,993,696,565,244,428,378,346,574,947,717,121,435,810,216,
258,363,006,705,782,464,731,279,743,691,182,422,522,055,813,903,649,536,496,
846,051,437,855,057,575,925,224,442,639,205,278,227,116,656,838,338,882,388,
961,670,046,736,692,377,743,830,178,941,808,616,435,124,545,678,854,740,455,
623,895,610,499,804,506,075,633,479,599,464,023,839,660,711,531,028,385,717,
437,383,003,793,509,160,872,327,489,304,071,341,577,697,997,872,534,628,246,
320,369,107,880,117,259,129,731,839,966,803,193,616,759,771,534,004,243,742,
932,241,758,932,850,293,699,596,369,416,076,780,764,862,427,888,938,964,312,
273,522,943,299,029,333,131,508,480,310,398,530,704,402,007,983,717,824,950,
091,708,163,285,051,860,983,232,065,714,182,797,069,066,248,162,172,633,557,
807,498,190,852,333,374,031,729,729,813,209,622,368,019,471,745,771,894,726,
151,304,575,879,912,919,871,499,482,515,600,384,769,352,095,754,800,709,527,
169,985,281,965,954,721,974,109,269,819,550,370,714,486,517,515,164,846,274,
290,886,235,955,117,829,917,624,074,735,195,496,708,487,220,941,317,872,625,
374,935,345,918,444,591,410,505,008,911,372,403,025,745,406,138,664,059,447,
789,663,785,961,901,656,738,570,362,645,595,247,953,257,968,067,425,877,830,
997,292,585,406,005,606,964,684,366,719,295,180,353,903,957,435,480,419,455,
464,663,759,503,997,168,642,525,548,181,044,672,812,218,027,304,583,535,336,
576,981,309,899,100,523,762,639,187,040,364,278,101,168,473,698,419,820,164,
036,014,774,979,177,613,087,597,162,310,629,989,277,897,009,232,255,110,891,
080,307,473,080,282,401,452,046,294,370,717,897,205,719,254,873,120,712,756,
320,151,040,222,998,690,508,718,150,602,573,926,337,301,451,723,838,514,365,
895,978,768,558,187,406,596,677,243,835,483,698,997,232,747,497,448,424,171,
603,227,362,209,348,117,417,745,585,942,596,374,139,615,260,427,968,555,988,
704,367,812,273,346,661,066,662,867,025,430,751,770,611,878,780,526,797,171,
274,219,263,657,371,768,719,665,437,567,141,758,507,890,716,724,621,728,026,
116,141,518,443,243,431,140,686,230,685,768,741,794,163,726,984,728,088,434,
747,390,043,479,221,282,276,662,071,973,148,570,278,072,827,330,274,201,153,
757,307,201,574,423,360,956,409,121,850,641,915,106,099,526,383,033,878,158,
726,650,076,752,993,020,809,247,330,834,744,757,182,985,279,329,603,034,811,
252,246,615,721,029,100,289,006,763,406,192,846,169,459,384,814,908,078,012,
409,375,571,457,097,160,342,101,385,236,683,741,188,569,849,471,044,088,187,
661,573,733,331,901,227,405,316,740,234,928,500,008,322,619,521,252,791,171,
085,645,197,048,493,301,172,021,201,625,488,652,578,369,551,626,234,655,241,
180,268,814,177,224,278,671,700,001,790,950,691,199,162,429,696,019,634,671,
007,772,911,108,720,729,403,135,379,369,968,648,303,033,185,031,393,485,631,
866,007,665,312,530,468,379,019,780,229,624,163,610,533,670,107,609,730,379,
267,686,901,912,251,076,647,639,599,763,314,800,161,595,538,123,787,966,799,
068,718,637,996,479,808,034,836,614,789,070,256,008,420,013,549,941,603,091,
493,969,563,321,259,136,542,716,381,693,465,736,894,900,450,819,289,183,761,
158,634,888,141,461,788,180,152,573,256,573,632,746,217,886,022,288,376,184,
661,942,412,532,020,751,646,378,542,793,481,220,830,393,683,518,843,734,715,
302,213,266,751,714,560,362,582,784,414,980,687,674,737,218,249,965,325,362,
708,135,817,729,468,477,809,735,713,704,097,056,763,870,704,172,052,571,148,
501,211,948,923,140,431,553,548,641,214,074,104,979,018,790,044,185,356,295,
079,813,510,272,525,137,952,938,846,552,332,933,235,707,029,925,873,353,038,
202,729,129,279,298,025,264,543,250,508,438,616,850,344,271,542,049,761,710,
888,713,833,883,067,988,013,008,457,363,319,796,944,874,751,194,484,867,723,
767,383,218,558,439,067,758,655,303,493,374,754,651,284,854,576,415,353,541,
917,249,567,961,432,847,377,451,857,464,790,682,965,632,890,999,550,959,036,
489,034,321,321,606,453,030,544,276,911,247,340,083,929,564,919,957,522,515,
975,065,493,193,102,899,676,892,594,799,717,872,911,869,615,141,888,884,678,
316,953,308,937,642,999,340,690,529,269,022,608,685,298,513,486,727,767,146,
486,288,206,220,873,459,537,559,132,445,125,373,931,850,928,867,494,500,351,
559,334,841,492,016,169,490,168,851,262,987,106,663,226,703,526,763,387,830,
276,584,766,383,418,987,497,731,312,153,310,508,173,248,622,925,755,016,166,
890,104,141,302,373,946,442,361,481,214,242,740,068,978,418,482,277,177,458,
757,694,338,264,107,371,583,442,479,290,688,829,027,794,814,031,135,743,417,
909,076,115,026,171,100,376,684,161,673,004,057,219,465,508,621,215,841,924,
425,146,834,786,021,238,507,040,979,332,800,134,774,996,199,122,040,258,941,
998,481,510,793,169,857,013,131,257,273,170,338,962,593,875,936,025,626,843,
154,582,976,256,387,838,955,392,834,288,251,590,833,458,433,251,049,065,334,
253,012,749,101,324,073,565,461,183,518,819,686,665,030,003,850,445,959,367,
102,244,813,680,859,243,471,038,419,221,394,380,068,125,582,051,767,777,597,
283,482,699,421,028,376,442,470,652,389,031,083,400,295,409,170,499,529,270,
233,378,345,641,370,698,506,392,556,553,486,517,675,159,993,818,692,745,397,
522,753,768,248,893,103,106,075,152,338,819,323,956,342,323,585,908,202,871,
771,546,267,928,991,584,303,991,629,871,615,413,251,337,729,184,012,958,238,
634,971,042,817,589,594,025,480,913,393,941,411,423,561,749,038,846,373,923,
854,222,335,746,787,598,178,419,216,908,888,663,286,807,824,424,149,047,921,
220,624,079,754,156,969,409,779,320,628,407,718,806,320,338,741,585,386,676,
618,667,301,219,570,374,680,963,755,457,159,710,749,918,365,852,502,139,089,
061,432,457,103,058,344,454,430,972,603,200,669,645,939,178,314,723,384,228,
711,622,210,822,186,509,018,846,718,234,206,064,899,339,213,351,217,264,489,
929,396,245,857,121,344,937,042,803,742,860,725,193,333,552,823,240,580,525,
359,624,144,497,480,382,476,260,095,153,606,345,419,981,333,466,017,173,775,
488,683,059,257,230,131,145,880,834,143,838,772,149,067,382,619,760,915,051,
919,729,943,080,826,916,932,262,755,430,558,923,175,927,409,132,633,811,327,
166,050,460,012,615,939,305,508,666,811,910,028,312,939,806,634,605,708,793,
876,279,797,829,246,712,845,086,475,492,383,445,197,998,667,449,824,090,111,
708,749,039,989,771,726,815,402,737,684,007,937,985,628,818,796,608,656,593,
998,022,035,180,389,069,500,505,960,585,475,811,588,637,639,202,477,370,206,
865,733,729,059,604,676,958,257,010,579,229,602,673,835,995,859,097,162,239,
646,125,938,540,875,057,054,158,775,337,322,774,754,940,893,029,272,839,491,
266,894,257,129,924,639,089,540,641,548,458,394,168,834,435,478,513,077,972,
353,156,863,986,740,712,673,101,535,794,052,459,179,878,253,096,251,040,404,
756,817,475,319,050,925,006,113,866,117,129,251,110,913,184,807,887,756,885,
664,994,602,284,214,755,961,507,792,990,246,352,803,216,021,863,356,783,870,
419,077,794,700,639,872,962,914,748,290,493,522,633,042,341,879,186,839,044,
326,234,498,754,467,217,183,093,717,135,517,421,722,408,923,110,072,356,114,
662,168,479,236,607,092,008,205,338,997,879,896,011,943,612,641,764,562,763,
865,629,525,038,912,115,000,816,007,997,710,532,937,568,632,013,088,171,500,
391,730,535,503,950,400,094,076,587,377,207,834,685,991,298,837,940,263,455,
863,348,782,677,009,547,369,868,233,487,077,592,107,310,659,878,859,272,364,
393,118,026,771,886,680,940,341,852,315,825,671,129,085,154,355,369,376,476,
252,236,944,224,759,769,945,771,014,847,387,378,856,587,199,601,325,311,393,
900,335,079,573,735,411,208,734,510,547,605,791,846,846,536,645,601,684,950,
355,655,685,509,574,610,343,026,250,014,216,734,962,043,599,675,973,402,018,
110,407,616,240,782,811,165,351,740,931,679,643,733,476,909,150,713,967,913,
595,521,180,923,724,733,472,832,254,699,162,496,798,171,801,933,128,460,758,
995,761,081,974,154,720,353,452,559,366,521,918,268,585,689,744,382,587,048,
857,732,503,978,684,730,937,504,255,877,429,614,611,227,785,155,015,152,184,
641,267,909,258,533,841,003,714,422,901,184,321,127,115,545,266,104,106,940,
168,514,405,944,057,892,258,163,931,785,775,014,462,121,076,883,133,042,285,
004,138,777,605,484,454,983,251,663,827,590,066,355,027,816,834,410,538,148,
871,717,210,348,556,115,362,321,793,975,926,441,518,106,540,102,505,395,106,
424,841,892,678,210,099,759,587,819,280,809,859,812,381,766,747,653,769,962,
225,667,090,705,241,570,640,925,293,474,549,747,311,806,118,878,257,993,607,
773,711,953,053,391,385,342,087,102,939,689,270,253,223,935,648,432,906,121,
419,337,743,905,719,981,241,878,156,878,250,309,486,045,262,271,313,746,333,
146,575,286,992,776,796,470,958,175,114,045,925,454,609,779,972,127,924,042,
643,225,917,258,550,334,579,874,170,023,996,269,633,497,202,386,405,628,297,
829,616,871,711,169,711,400,673,083,289,671,312,816,378,353,293,932,785,458,
711,411,510,430,577,597,099,139,944,142,175,926,677,163,315,818,522,127,545,
381,735,885,780,791,708,142,581,037,524,608,014,503,199,970,198,805,027,460,
538,437,767,836,450,388,147,165,549,492,215,902,403,958,000,051,774,306,074,
080,403,088,292,839,393,225,866,128,491,041,527,465,337,977,459,873,726,829,
810,649,922,582,772,142,014,699,617,532,691,624,864,328,798,353,203,781,896,
247,904,639,417,022,046,316,517,888,470,263,539,375,392,795,523,057,127,696,
980,190,267,756,665,875,138,570,052,719,812,964,213,695,255,912,594,426,384,
366,761,367,408,620,483,062,830,927,235,175,653,979,909,868,395,330,158,151,
963,181,010,230,317,028,815,682,127,073,566,258,711,075,189,605,640,915,322,
059,050,263,148,360,073,491,708,005,848,454,050,282,222,658,116,942,865,952,
818,360,028,505,166,265,127,243,663,898,906,667,769,910,218,759,676,284,904,
762,170,350,192,186,844,868,272,086,207,762,574,377,212,501,120,353,267,093,
596,421,377,111,067,578,270,030,205,502,440,468,129,807,892,547,143,792,146,
779,856,810,726,318,204,181,852,994,758,364,183,572,719,327,542,778,266,509,
562,008,347,928,850,163,241,316,934,571,217,910,480,746,795,183,815,796,321,
922,311,574,689,389,241,127,416,187,660,895,213,848,312,579,156,534,872,185,
880,630,400,399,240,995,822,601,259,130,084,261,435,484,183,398,619,384,778,
991,389,151,978,062,741,836,952,138,393,723,131,521,533,822,092,856,595,449,
274,031,907,850,168,582,994,715,083,403,071,767,374,018,780,019,135,863,791,
614,991,469,927,980,479,923,370,265,619,164,514,607,482,080,040,999,398,360,
612,619,426,120,043,743,875,031,114,104,947,624,769,213,401,978,078,793,310,
082,430,885,510,246,351,906,297,860,874,053,337,633,833,803,644,961,166,059,
762,797,570,523,984,669,767,120,885,766,856,786,039,822,210,276,117,148,783,
943,099,563,982,237,999,416,031,208,057,022,675,482,758,732,565,502,379,827,
033,985,529,304,679,379,950,479,723,022,317,451,494,305,568,164,954,713,241,
202,845,458,921,560,951,728,645,584,830,526,632,620,198,640,201,879,353,950,
338,755,227,936,402,221,608,783,221,432,648,149,594,937,194,879,908,769,814,
349,855,733,783,040,802,707,073,440,113,077,532,950,126,081,804,320,330,391,
424,458,890,876,001,814,560,675,713,819,452,695,170,551,557,020,352,565,241,
597,352,567,042,314,769,828,484,539,441,987,794,090,316,829,439,278,731,864,
269,080,593,338,412,499,665,102,038,780,281,353,128,164,715,593,684,083,142,
654,398,970,928,703,005,296,784,458,956,203,902,561,581,772,118,061,625,664,
887,852,696,743,838,707,998,154,297,949,335,349,979,305,325,024,565,134,316,
679,846,704,626,316,104,384,352,569,804,193,170,065,349,634,850,033,217,164,
575,493,661,989,186,460,050,561,360,636,014,374,105,071,065,142,910,998,917,
232,798,622,033,129,749,878,669,724,654,386,686,785,507,522,904,711,747,938,
042,288,899,358,870,114,428,484,676,625,174,757,037,488,058,206,293,168,962,
850,867,631,214,661,710,081,584,504,196,516,940,191,477,690,350,381,484,724,
911,257,369,876,214,030,381,777,286,999,512,480,381,190,582,117,642,523,895,
694,239,919,298,861,650,516,156,147,303,421,594,978,207,102,997,728,486,827,
371,282,025,593,853,675,811,442,974,671,039,270,214,447,871,303,645,869,463,
859,750,193,691,569,484,714,301,332,682,825,097,588,322,322,944,704,161,674,
618,134,933,721,405,634,461,096,926,646,692,722,141,020,374,139,717,495,888,
840,531,428,429,496,743,375,897,264,664,276,628,323,131,411,744,301,811,322,
595,788,919,417,749,665,454,790,902,653,378,218,590,441,453,740,133,270,137,
301,595,142,509,831,400,579,147,261,277,498,258,136,443,318,073,863,798,457,
222,082,441,019,512,962,712,254,212,292,109,648,308,808,164,895,740,365,890,
818,274,920,718,352,614,641,025,514,961,300,528,189,893,902,071,009,511,965,
457,219,930,917,664,151,389,506,727,905,956,054,573,869,505,830,742,349,648,
376,478,111,929,424,691,162,548,690,113,983,779,024,421,701,420,801,685,534,
294,211,082,353,122,514,429,873,024,673,982,390,594,393,284,960,646,135,757,
614,291,623,868,055,235,273,824,186,506,585,490,997,519,004,289,767,333,243,
090,898,541,513,778,842,397,051,062,085,543,901,862,521,809,664,916,650,040,
371,616,674,702,091,805,944,840,936,278,701,542,430,287,502,622,617,841,688,
542,083,345,057,861,797,134,024,551,581,003,544,738,286,641,894,873,994,003,
493,855,747,478,951,277,621,622,753,141,878,637,911,130,402,028,168,143,356,
349,475,948,622,476,296,124,973,388,738,784,576,188,968,648,232,314,027,311,
560,870,512,121,684,143,196,784,696,298,478,498,981,404,616,358,703,319,523,
758,160,334,335,227,644,336,306,510,344,641,864,729,098,292,926,056,023,255,
711,489,402,380,343,370,156,666,307,274,567,035,742,199,549,802,174,987,901,
351,909,704,541,700,532,626,166,651,785,869,139,597,457,939,485,088,270,160,
826,961,300,036,155,600,959,588,510,688,378,506,797,987,220,877,899,613,080,
621,273,400,223,223,749,609,996,988,885,950,432,303,323,576,469,901,338,775,
787,019,094,973,945,889,580,602,057,348,167,928,338,521,301,209,991,853,956,
118,188,256,387,133,738,412,375,155,312,541,784,748,232,888,062,387,368,986,
103,327,087,969,020,945,750,822,735,847,566,927,889,602,081,390,576,359,730,
666,639,191,528,092,611,155,984,703,566,832,738,819,083,924,863,879,967,805,
793,911,247,638,565,552,921,914,880,109,907,598,470,041,130,225,380,385,731,
003,598,251,719,800,050,372,780,390,224,420,673,202,094,404,936,300,857,360,
559,663,993,727,515,567,538,418,504,628,428,278,336,268,102,725,571,122,839,
803,514,374,305,916,691,942,784,357,929,549,613,984,389,529,501,136,641,988,
984,935,399,388,676,822,261,471,158,519,885,137,138,575,575,685,281,949,277,
853,000,342,409,607,995,644,297,482,248,211,474,590,237,500,523,862,015,521,
101,824,917,654,437,582,985,306,534,781,538,905,815,052,786,670,631,193,231,
065,392,711,515,278,449,557,028,456,873,962,453,585,538,000,718,605,222,019,
042,640,031,104,442,595,953,903,069,475,519,240,296,231,423,756,081,310,766,
714,015,369,532,380,573,145,090,269,067,237,537,732,612,390,611,933,215,717,
192,862,875,333,775,139,422,358,820,995,915,093,704,840,328,634,056,011,227,
034,874,279,431,632,828,818,392,583,336,281,319,845,685,244,397,962,798,844,
414,918,000,700,619,862,825,796,678,975,534,495,162,098,151,385,865,026,810,
139,739,085,693,079,267,521,271,013,519,185,467,240,930,202,624,456,118,951,
583,559,384,855,192,255,462,696,884,927,241,100,463,611,105,929,390,337,724,
967,477,146,035,785,407,457,780,222,808,149,386,608,572,491,929,446,740,188,
772,602,984,230,789,965,459,469,730,264,909,074,134,370,656,908,694,313,007,
673,364,802,984,303,392,092,152,905,461,679,462,651,242,068,622,618,567,610,
073,482,631,307,628,908,985,263,860,581,255,028,633,025,541,844,914,980,143,
094,023,711,028,144,853,521,802,819,513,231,582,092,361,333,374,897,708,626,
976,650,657,507,568,887,081,427,394,959,725,226,446,754,508,456,403,907,030,
991,800,648,925,914,679,196,862,003,768,907,740,867,526,184,389,533,875,331,
172,449,643,163,125,848,090,533,670,783,811,785,832,715,976,390,256,291,634,
082,759,681,783,567,021,979,660,856,315,240,402,208,805,187,261,186,883,989,
385,625,482,654,941,334,141,048,646,783,209,781,797,525,335,055,741,662,268,
798,029,361,757,905,723,093,840,240,169,810,004,342,454,481,808,478,236,172,
111,966,239,911,958,240,233,605,054,990,946,862,476,484,491,874,886,682,582,
446,893,736,964,756,927,642,051,127,934,929,389,453,603,692,764,492,437,232,
069,348,182,689,949,219,309,388,784,138,175,091,341,602,466,100,061,651,013,
096,420,839,906,590,804,846,238,072,723,220,646,903,192,703,390,229,858,578,
124,063,350,392,303,661,127,770,379,494,118,064,921,040,231,893,170,732,194,
929,680,728,521,121,481,568,009,472,504,558,534,638,116,677,637,547,769,910,
794,027,071,315,657,220,555,382,054,208,256,683,162,142,124,810,889,189,092,
681,772,079,390,967,811,719,187,405,531,108,682,860,008,603,980,611,364,815,
591,913,505,656,111,451,087,667,912,647,463,284,846,066,292,731,567,241,687,
224,719,205,637,495,302,574,640,680,926,208,691,056,466,726,132,903,769,592,
537,766,806,041,926,864,414,137,911,323,602,904,108,847,975,737,293,072,185,
864,490,177,518,583,526,998,717,796,340,422,502,535,664,039,639,219,561,653,
554,525,020,927,981,480,794,579,105,516,440,683,840,565,501,698,924,033,950,
376,574,643,305,478,546,126,729,668,738,881,197,284,427,800,534,745,487,512,
311,638,877,801,513,270,988,684,625,994,206,165,695,281,527,002,243,903,510,
233,365,533,268,363,958,193,495,710,115,325,057,129,907,372,587,442,927,341,
905,640,206,014,060,882,545,433,586,630,671,090,332,977,263,168,116,970,506,
139,195,289,214,327,803,113,901,283,281,042,600,533,753,907,126,831,011,208,
913,831,512,600,700,468,370,139,899,709,805,689,793,913,614,952,453,805,015,
814,250,489,491,941,688,854,862,867,358,684,141,435,585,646,038,673,954,709,
138,650,138,650,070,651,818,745,513,352,283,374,310,374,662,096,858,498,337,
809,276,194,072,906,302,108,720,939,450,968,393,848,890,728,600,111,208,556,
447,353,217,230,129,449,700,590,887,768,049,483,462,814,383,996,104,967,572,
476,118,281,179,297,018,657,442,347,890,680,162,040,224,099,858,345,817,813,
772,167,076,064,410,068,696,440,585,426,941,930,960,693,784,705,957,339,508,
172,368,213,322,194,803,963,457,293,977,150,603,260,785,236,943,450,523,197,
283,606,718,102,550,601,229,649,683,338,184,187,544,958,929,566,840,829,593,
654,181,956,187,240,083,107,364,985,645,861,833,690,478,681,229,610,403,047,
399,498,889,207,706,260,944,822,740,172,963,486,739,540,286,454,086,657,392,
768,942,882,094,815,751,054,000,892,563,352,756,474,327,133,989,763,799,215,
436,512,357,827,165,647,781,880,330,071,725,961,136,760,371,689,381,654,817,
287,556,716,456,616,668,582,613,565,550,885,294,268,874,545,826,319,901,853,
641,260,717,951,627,423,573,181,386,623,114,488,417,131,471,302,374,150,682,
068,907,334,933,324,477,581,373,057,752,821,558,341,794,784,079,364,618,751,
775,022,389,159,151,433,144,947,010,554,930,640,939,015,839,636,272,475,149,
025,998,082,179,869,133,948,275,834,497,637,568,044,366,024,924,516,714,931,
685,975,890,806,478,015,605,348,105,504,545,832,196,105,547,217,200,608,940,
069,921,505,761,382,220,553,666,363,620,576,944,842,834,676,493,996,313,362,
000,026,840,476,904,145,070,685,246,596,261,954,731,162,679,575,436,067,881,
551,545,766,211,214,736,308,635,210,266,434,453,162,312,162,046,348,477,234,
507,064,709,800,084,392,674,660,114,879,178,236,293,567,889,324,986,085,549,
763,457,716,621,011,114,603,997,736,108,649,217,939,074,542,181,984,063,396,
517,108,854,722,422,392,938,099,594,185,589,651,493,221,059,247,586,359,914,
214,184,193,555,362,232,654,613,927,963,890,597,882,443,045,777,235,860,344,
874,319,280,516,797,042,986,693,116,195,107,844,359,132,400,727,281,114,926,
251,660,654,493,585,592,821,350,309,149,400,144,049,396,783,610,425,747,857,
091,459,301,151,160,610,046,989,063,099,129,477,201,889,655,123,149,200,564,
569,818,115,639,659,303,294,039,905,568,505,358,951,241,130,295,951,576,561,
202,395,845,455,340,853,429,381,567,872,449,418,984,845,739,413,819,585,509,
990,131,702,207,688,841,621,000,241,818,365,106,255,193,417,141,073,425,769,
875,414,896,852,074,485,521,262,326,561,739,555,287,597,529,136,329,878,485,
785,683,630,904,611,608,024,455,421,396,502,038,042,501,316,814,773,806,585,
571,665,628,077,671,771,631,911,561,617,476,259,559,101,918,416,086,833,101,
509,293,735,461,100,200,882,038,004,855,518,467,462,912,361,972,091,524,743,
352,730,469,294,003,959,621,833,518,318,936,808,336,125,327,783,236,682,376,
910,055,838,474,289,865,428,828,922,388,822,607,562,885,738,621,610,823,822,
992,210,336,741,743,023,317,608,799,013,022,942,405,627,792,677,343,255,049,
209,389,463,360,593,966,870,990,460,375,291,055,070,300,642,851,416,722,808,
371,934,327,122,273,538,213,156,776,139,021,769,579,867,426,340,818,457,895,
657,275,894,990,523,788,346,520,915,464,990,472,888,576,094,618,506,839,155,
985,267,497,195,725,997,244,431,366,548,030,160,014,905,996,711,918,632,923,
774,692,249,573,918,363,974,406,383,732,351,361,321,754,811,167,430,339,348,
969,890,158,486,176,167,077,409,610,692,820,114,594,309,458,152,037,852,064,
887,256,018,433,640,687,392,574,203,428,470,641,284,429,272,509,812,217,065,
573,149,264,561,614,684,943,373,025,657,151,146,973,742,993,003,768,014,979,
979,035,470,863,084,964,426,686,595,009,234,582,090,032,528,732,183,549,199,
395,106,958,393,362,242,421,747,152,209,715,251,264,982,308,758,990,255,873,
425,706,339,025,570,015,229,758,757,559,596,076,163,484,754,680,110,078,862,
095,910,172,113,033,634,815,128,983,898,662,510,924,302,155,923,736,941,736,
664,314,494,182,015,212,375,770,207,804,920,550,292,584,830,321,155,908,899,
938,961,923,706,845,278,851,023,266,245,223,882,278,207,329,782,183,724,327,
319,966,801,760,010,377,870,266,703,882,538,333,131,206,253,706,488,886,694,
572,094,610,705,149,272,828,913,104,873,309,211,952,439,295,639,365,854,619,
193,353,323,180,708,898,602,879,732,027,548,326,706,459,780,616,042,108,476,
988,489,096,242,477,026,563,177,526,479,764,030,881,214,374,130,067,387,946,
448,627,639,975,524,549,624,860,626,972,178,461,733,825,544,863,802,665,318,
646,963,222,724,094,510,960,181,644,290,757,959,986,950,661,357,188,749,040,
495,836,942,756,582,962,659,176,480,979,950,680,631,727,383,637,565,313,491,
347,266,438,823,586,434,412,955,255,946,469,653,816,943,467,153,478,402,089,
527,419,828,200,712,598,832,003,692,669,590,596,239,422,599,067,188,437,933,
208,319,048,658,338,203,970,302,984,347,162,857,155,021,737,356,822,948,502,
506,751,244,647,534,300,309,048,546,563,076,663,917,525,898,624,019,139,736,
497,989,478,462,589,180,378,349,796,303,267,097,664,616,327,710,694,005,349,
385,030,880,675,783,289,442,308,125,995,867,111,855,086,102,857,925,739,948,
443,661,529,787,001,542,972,145,650,631,771,670,305,599,664,959,051,649,889,
110,153,763,669,075,444,386,736,305,714,522,404,127,652,659,664,210,326,890,
363,673,599,198,337,726,806,279,984,509,551,794,673,287,027,077,557,440,457,
431,004,187,807,342,484,988,160,047,776,660,545,094,787,478,048,504,564,394,
015,939,387,283,302,798,520,966,884,948,261,253,870,354,281,589,120,384,411,
001,099,000,553,124,455,252,868,123,122,017,561,905,296,102,204,122,948,418,
726,381,613,037,808,890,585,761,202,614,670,947,818,981,625,858,857,530,049,
838,663,038,345,311,971,144,846,313,893,448,381,678,504,800,220,377,915,869,
021,331,535,122,738,631,773,307,248,108,371,559,330,828,840,549,675,295,030,
268,640,036,312,407,859,496,301,280,695,497,819,471,473,029,632,769,435,490,
383,853,367,668,231,804,884,920,526,384,956,439,609,120,390,314,149,538,512,
106,532,676,469,411,955,960,005,177,456,073,860,209,890,234,758,829,007,869,
442,500,663,227,007,932,355,410,836,871,980,119,261,110,739,420,080,364,036,
440,857,139,602,199,796,582,171,833,173,489,994,045,059,183,975,356,912,527,
467,152,958,257,471,413,628,606,396,165,720,353,453,595,348,079,443,309,974,
534,020,793,459,782,611,055,840,386,549,363,592,032,624,495,900,335,288,966,
178,068,628,196,993,866,960,546,399,840,757,496,755,684,949,423,704,743,053,
696,199,763,956,863,023,993,164,681,453,858,983,858,070,164,964,308,083,062,
072,831,369,710,271,553,957,973,100,229,040,387,394,650,308,521,480,363,154,
215,582,752,993,098,724,168,078,766,082,091,874,761,310,674,790,108,363,938,
158,814,045,856,245,915,599,163,507,856,505,029,094,335,155,506,154,419,032,
064,223,803,757,287,981,272,248,776,295,890,675,433,655,576,325,696,936,107,
092,047,374,486,844,882,990,143,957,016,143,746,063,046,669,768,757,793,788,
601,041,391,546,936,435,206,451,758,135,925,115,743,345,813,705,895,121,626,
417,127,243,038,551,598,427,827,368,743,663,328,329,859,407,365,944,522,242,
394,685,499,598,927,402,143,085,257,616,856,598,902,226,409,105,623,756,031,
693,088,924,642,531,020,516,928,503,816,353,325,925,813,390,380,676,549,498,
940,889,911,804,262,984,443,405,035,676,690,015,170,935,299,400,042,635,494,
469,639,036,236,916,702,044,802,444,725,255,908,388,791,310,587,713,592,860,
890,700,526,019,687,670,550,753,241,636,750,051,215,341,726,121,337,051,761,
651,258,629,475,940,201,630,751,755,843,249,221,584,918,670,700,884,510,728,
318,185,787,536,639,509,836,583,296,636,087,067,562,065,768,470,948,189,069,
519,924,764,511,875,959,423,775,212,892,454,693,226,614,783,435,906,913,219,
934,566,348,248,104,307,345,413,745,940,284,187,267,111,839,183,431,506,705,
443,136,444,239,814,766,199,956,340,189,263,092,717,687,953,814,272,887,213,
713,655,767,975,447,921,598,634,045,280,033,670,815,688,605,572,532,868,801,
620,998,345,421,598,453,554,269,642,832,804,591,754,879,622,070,524,096,262,
445,681,998,651,907,268,425,799,705,810,403,664,982,292,217,137,786,306,384,
111,876,874,977,090,831,373,569,287,810,408,027,584,496,196,455,435,715,900,
316,376,587,518,746,904,526,344,359,674,886,006,628,415,189,996,692,376,900,
605,211,926,647,280,075,412,678,367,198,979,284,824,186,488,638,833,087,385,
126,571,426,988,661,435,012,914,701,842,372,124,350,425,183,845,362,006,187,
261,684,598,048,457,076,773,222,905,935,170,321,340,761,753,174,244,822,402,
625,580,588,159,558,008,626,430,318,990,694,534,060,271,771,151,682,022,711,
489,354,626,173,185,388,769,935,760,533,876,177,110,816,496,930,350,151,513,
442,360,764,105,147,655,159,465,368,305,783,629,973,037,070,599,981,813,050,
539,962,324,144,850,257,702,193,900,938,889,305,834,421,822,553,357,251,896,
482,319,795,907,913,658,525,558,329,906,113,205,125,555,137,207,761,797,705,
291,700,082,078,838,219,823,132,887,451,824,050,239,027,408,961,584,245,754,
356,295,573,242,759,715,814,178,104,191,084,831,290,840,398,494,862,723,365,
005,874,529,478,544,737,708,436,992,794,733,911,062,969,027,947,744,453,706,
804,946,832,207,319,309,978,827,828,841,462,312,971,705,035,574,705,615,794,
122,739,691,469,612,067,811,552,219,387,311,152,998,383,504,098,462,789,387,
750,504,360,179,339,344,135,573,870,634,260,090,551,984,984,799,182,466,543,
873,808,810,249,520,346,527,711,379,873,176,596,776,548,428,826,786,312,745,
171,499,626,540,171,099,989,485,821,617,236,472,486,563,517,950,992,461,059,
832,951,340,459,286,178,108,311,324,941,130,326,263,296,761,267,850,490,355,
665,527,917,169,494,488,933,137,929,477,445,962,388,571,304,968,730,666,770,
772,369,324,752,889,052,982,635,838,583,584,902,213,247,615,924,241,114,303,
104,111,409,588,508,934,744,151,032,982,273,243,609,075,753,570,487,895,087,
816,755,688,402,914,096,240,578,532,624,829,386,343,420,976,529,753,145,032,
800,711,364,433,334,792,474,886,869,884,346,928,367,238,449,290,199,099,254,
226,220,518,811,830,312,167,668,605,173,807,393,342,732,898,278,006,585,735,
551,472,164,145,320,805,740,446,032,351,925,381,888,944,835,761,156,370,937,
842,311,422,573,772,271,295,088,312,533,551,047,219,987,504,943,370,454,779,
193,164,572,730,623,287,281,341,714,652,417,977,122,642,224,956,197,373,111,
875,253,305,498,013,866,497,456,542,846,952,897,294,069,108,280,148,151,876,
777,519,147,024,295,579,571,322,314,381,086,872,439,566,584,264,901,231,735,
644,077,726,913,091,171,600,280,188,828,370,715,131,963,763,049,077,729,804,
071,980,676,253,037,288,963,830,225,478,840,086,413,382,951,943,849,422,052,
712,099,159,813,024,492,495,950,591,150,450,129,535,035,879,588,630,935,490,
752,118,312,005,622,640,691,068,153,921,518,820,778,387,877,242,752,445,663,
255,880,940,581,540,337,247,467,271,495,344,019,184,436,093,714,481,934,018,
853,821,482,005,759,394,742,495,531,221,468,481,368,591,806,512,731,371,248,
810,816,085,412,016,470,188,270,749,341,420,309,993,279,516,231,948,614,411,
999,082,952,844,260,648,832,263,710,168,586,663,174,548,026,500,673,723,670,
531,195,703,441,295,678,637,125,647,414,310,733,116,172,103,590,740,709,337,
054,295,712,249,514,492,010,574,050,817,830,895,840,314,803,667,725,769,996,
401,502,376,675,621,252,012,395,580,060,646,496,084,447,674,146,189,843,033,
568,920,512,963,435,716,277,684,183,005,844,472,508,749,274,828,533,207,565,
390,100,827,609,499,242,051,211,130,814,203,264,724,717,339,195,542,414,261,
344,555,318,384,764,161,917,536,397,893,456,403,400,300,044,102,169,799,112,
489,398,824,312,463,435,345,311,222,766,232,978,615,961,974,334,779,437,839,
729,218,492,813,200,229,775,430,299,471,225,678,594,445,636,859,002,878,240,
531,893,109,064,089,657,239,385,829,699,711,192,483,665,270,386,922,767,120,
624,769,665,999,564,203,781,265,932,478,346,301,661,413,791,359,583,047,124,
839,682,099,026,607,266,233,203,499,464,880,988,787,500,881,143,192,124,060,
558,045,617,632,020,081,386,379,521,536,116,056,033,008,778,620,667,427,505,
912,907,167,962,174,544,782,554,842,723,022,749,245,809,401,497,849,002,388,
384,206,293,965,064,582,460,130,196,906,979,613,745,995,517,659,302,446,123,
928,197,606,476,378,531,601,044,038,946,286,307,146,128,342,817,365,549,979,
043,795,427,571,277,841,186,956,747,060,612,013,196,109,628,277,082,783,678,
832,195,711,264,928,479,516,926,710,181,957,074,705,029,132,074,235,625,111,
170,863,706,298,161,431,811,468,194,469,017,709,773,532,796,656,354,434,606,
208,995,133,830,284,022,063,462,087,726,052,246,164,032,541,522,467,009,528,
872,234,780,744,424,051,137,716,615,084,556,383,108,108,597,405,586,063,496,
999,232,662,508,251,867,253,201,483,002,842,763,073,679,186,799,646,151,650,
151,980,278,293,601,193,352,935,792,247,715,893,031,015,091,030,866,442,990,
780,485,873,242,851,856,671,148,645,293,570,353,595,310,336,357,756,679,379,
655,966,957,259,518,522,594,245,545,019,307,219,864,324,487,833,394,421,020,
068,229,611,138,168,221,627,908,131,929,356,409,949,656,405,333,070,807,135,
889,652,184,783,322,566,497,312,911,292,179,348,591,128,735,833,977,490,315,
015,335,140,038,213,359,842,645,315,779,423,600,864,745,486,979,548,710,314,
846,711,929,462,083,291,742,923,016,911,411,928,527,925,078,678,697,378,647,
073,955,540,426,559,799,856,310,187,495,407,120,620,812,119,210,771,611,595,
774,809,861,734,922,885,924,687,239,333,603,414,277,558,286,343,553,034,669,
646,004,096,114,573,774,140,439,819,087,986,502,802,168,919,266,050,037,182,
791,895,694,800,124,043,691,531,840,772,844,772,514,987,798,247,982,614,312,
338,273,679,973,092,604,242,158,366,651,470,154,824,722,380,314,402,254,413,
354,813,329,304,504,006,437,800,790,258,468,779,177,098,478,749,422,401,386,
174,479,815,294,625,786,391,552,764,460,144,136,325,210,323,116,447,792,358,
086,984,639,778,913,449,484,074,657,384,685,931,018,045,965,647,494,229,263,
068,549,048,885,448,833,685,957,442,889,770,853,530,908,546,502,287,465,598,
711,962,507,611,229,465,097,366,183,462,650,423,980,803,096,453,942,649,616,
724,961,944,892,585,425,223,836,786,879,657,599,509,582,208,776,712,722,690,
390,964,558,322,228,133,767,345,531,740,475,116,588,788,690,763,118,040,928,
050,208,864,906,761,745,889,500,245,576,228,217,948,863,120,651,675,376,873,
432,071,027,783,348,326,221,095,516,343,957,266,567,780,549,635,000,518,599,
524,944,711,478,668,593,606,914,143,955,019,739,355,135,607,958,954,816,744,
371,644,956,483,602,351,825,049,390,474,123,450,840,048,236,485,710,985,700,
691,767,854,385,000,892,651,658,788,103,072,988,045,042,453,729,350,611,036,
244,122,904,624,628,834,657,821,138,178,570,693,198,854,525,550,060,481,434,
131,608,870,505,418,309,182,683,916,298,584,338,211,477,310,035,045,756,759,
522,240,678,869,716,940,364,185,960,927,633,665,685,120,110,856,840,855,727,
409,601,979,068,177,544,291,599,327,332,151,587,291,418,661,107,764,005,559,
874,655,243,933,343,274,911,572,391,590,997,417,410,590,345,187,513,659,894,
539,404,204,336,748,389,916,312,503,430,292,438,589,753,886,150,610,502,217,
989,627,011,403,278,941,940,732,268,915,659,754,041,656,183,707,949,919,108,
612,733,332,418,612,540,399,376,294,455,604,767,679,274,485,970,046,057,397,
856,712,841,085,008,749,682,999,376,264,913,797,130,713,539,917,526,001,550,
852,435,594,621,780,649,062,112,385,969,403,873,075,309,569,862,273,557,550,
892,002,536,154,484,468,560,632,850,366,745,688,312,266,388,770,165,646,770,
824,984,190,542,965,322,783,119,021,133,135,989,173,076,035,656,188,148,951,
703,572,566,202,128,036,176,388,107,063,442,381,135,284,066,721,192,422,610,
726,493,043,676,989,843,284,622,120,999,479,325,334,412,282,587,932,359,484,
610,056,001,314,508,016,663,754,101,831,377,530,969,540,083,679,890,217,896,
085,641,426,027,710,978,264,642,393,318,744,894,282,341,065,206,733,334,857,
234,267,943,198,975,903,313,156,162,904,097,730,104,286,478,623,208,455,609,
485,809,437,791,098,188,153,398,898,153,804,096,702,248,623,444,947,879,313,
378,332,448,906,652,123,514,899,475,988,816,884,699,925,726,136,991,947,560,
048,514,735,075,232,039,455,716,990,768,077,709,726,295,442,699,949,340,986,
708,907,613,240,263,037,519,304,045,453,943,048,135,310,510,585,447,664,054,
924,796,823,544,157,414,157,313,677,029,471,902,048,177,696,828,104,855,722,
749,572,950,020,392,508,262,984,802,284,924,296,207,350,661,753,858,470,766,
616,750,437,486,494,022,838,484,943,758,508,731,369,580,295,745,329,490,910,
827,909,625,489,775,197,437,751,976,708,372,609,177,186,637,639,576,259,591,
841,487,161,012,724,948,909,262,649,196,901,993,056,787,680,761,888,694,879,
759,076,947,394,413,537,281,623,918,622,094,868,505,927,879,160,767,209,296,
045,066,597,324,641,223,254,188,510,764,155,117,055,692,192,274,932,340,416,
694,643,918,701,673,933,105,173,427,175,559,583,312,830,251,946,422,149,319,
430,679,213,452,779,851,632,974,220,645,013,918,101,843,248,935,724,454,059,
538,951,845,250,447,771,806,273,364,978,678,299,289,486,609,183,769,086,260,
945,930,527,409,829,527,122,235,284,194,214,371,596,822,524,630,031,411,085,
179,457,177,832,193,481,847,160,122,594,845,276,060,143,333,107,818,469,649,
923,643,931,502,900,903,127,489,517,592,623,626,549,693,870,694,321,284,517,
144,034,026,976,316,912,142,925,165,582,607,213,967,673,226,690,960,427,140,
943,306,061,129,401,649,012,236,225,344,674,146,398,438,626,100,280,382,118,
725,021,745,216,342,834,454,099,537,279,251,731,129,733,761,110,385,385,483,
372,140,365,663,699,245,767,273,940,608,173,376,695,243,748,857,944,889,387,
622,021,988,147,591,715,870,217,652,278,360,431,055,469,572,327,947,524,944,
748,553,686,915,991,144,526,715,193,940,665,582,235,565,048,474,701,168,973,
027,268,706,870,676,656,960,239,806,794,662,296,915,275,421,273,864,779,031,
107,968,414,493,173,607,350,590,476,717,608,815,905,558,428,815,836,433,583,
913,648,550,496,270,817,437,511,466,062,258,796,037,606,257,000,755,865,267,
193,914,055,845,821,822,162,610,813,569,457,815,385,050,944,034,409,612,954,
697,559,900,931,844,221,889,132,169,963,457,692,927,075,873,478,253,638,317,
429,150,671,853,182,046,967,075,165,131,386,522,424,277,427,555,792,676,077,
420,771,061,118,125,307,544,341,008,479,734,219,944,387,272,415,052,158,063,
906,663,790,949,189,437,958,347,701,730,550,607,130,630,159,687,513,030,001,
191,060,927,111,958,115,109,836,506,206,715,623,054,286,183,554,179,391,457,
825,791,495,467,330,256,743,058,926,058,146,967,258,524,422,286,368,619,027,
021,504,899,752,130,427,129,011,608,195,781,810,514,250,635,807,093,404,878,
111,132,839,910,283,102,206,256,447,436,466,853,048,610,953,236,221,714,884,
895,309,168,723,487,530,186,788,022,900,276,066,280,891,427,777,254,018,045,
729,253,816,906,908,648,470,197,212,299,778,092,789,951,594,130,854,509,695,
789,841,448,361,879,336,925,725,623,427,967,163,345,822,347,766,240,555,391,
092,479,983,366,530,058,702,770,249,066,781,972,380,691,112,914,429,437,071,
821,651,495,253,866,976,792,805,660,265,582,833,417,034,260,923,710,054,747,
273,396,009,639,737,929,516,535,898,476,654,380,237,156,475,990,001,708,660,
722,270,280,949,064,870,659,212,261,607,511,349,488,370,193,055,604,998,995,
625,087,219,678,350,429,697,126,914,530,103,869,197,551,015,817,993,309,717,
914,085,843,610,479,002,808,834,479,455,028,445,574,324,033,751,854,586,010,
796,483,342,121,919,263,534,770,788,218,918,881,933,006,341,145,037,758,696,
567,638,774,081,803,239,834,886,998,985,310,768,447,378,502,322,119,796,194,
761,948,932,314,001,656,213,974,561,143,970,232,413,417,675,495,862,144,783,
673,412,724,947,253,671,793,845,492,830,010,013,200,984,845,574,875,112,559,
800,728,809,808,644,136,917,586,115,543,447,749,641,893,744,335,561,918,736,
352,755,011,575,277,916,122,658,663,625,002,526,925,286,332,434,289,348,816,
705,231,647,811,439,120,708,473,599,495,540,796,457,398,682,044,590,203,617,
239,654,671,195,925,737,277,419,252,652,952,450,272,046,241,113,318,990,389,
584,669,248,612,716,245,218,569,317,610,907,719,189,021,832,654,643,610,857,
492,302,756,583,738,352,573,556,258,260,551,851,792,932,973,728,714,057,598,
867,271,421,007,480,842,106,147,631,082,523,731,122,305,172,043,421,385,116,
152,963,706,938,154,964,700,963,987,319,222,237,299,241,080,305,906,523,316,
743,063,999,430,245,194,847,009,106,710,223,058,715,983,435,506,297,297,300,
469,041,166,605,120,883,831,486,822,055,245,044,129,706,967,937,581,973,483,
690,522,014,500,243,593,892,893,002,070,795,829,261,255,408,745,445,386,015,
625,610,702,297,544,757,177,011,204,857,020,607,869,708,947,578,472,884,774,
362,461,405,659,778,553,773,026,827,920,643,024,466,432,314,085,694,350,695,
492,073,739,082,049,350,989,796,768,859,133,471,631,797,180,754,641,480,949,
079,750,043,098,569,512,545,151,622,365,524,543,021,229,523,077,171,497,058,
706,892,293,510,850,021,861,411,041,860,192,346,398,924,411,678,420,308,475,
448,386,562,739,192,605,111,779,282,620,520,812,611,634,662,217,981,351,722,
404,598,126,623,075,797,075,036,942,518,537,853,488,293,517,986,327,075,555,
667,851,918,404,455,691,219,907,623,824,296,184,381,311,781,825,854,446,185,
976,526,861,773,061,297,789,392,869,033,083,636,935,998,947,817,532,369,645,
813,768,131,731,092,547,521,570,372,434,844,690,182,501,525,417,408,009,839,
157,964,717,468,436,027,613,881,245,722,643,400,711,898,515,159,199,152,163,
520,696,029,912,272,120,959,078,480,111,837,389,377,234,930,414,317,811,494,
016,994,636,820,566,254,644,644,296,151,520,940,972,184,068,898,458,348,204,
449,232,697,208,822,528,861,246,523,221,546,697,213,767,462,848,633,998,226,
277,207,672,054,852,915,031,332,642,304,003,169,568,567,872,383,191,503,834,
860,653,961,296,690,085,700,021,207,307,185,383,925,703,592,474,095,847,106,
462,432,347,814,139,273,142,212,753,427,767,621,430,748,021,585,199,914,706,
579,907,913,575,705,212,445,544,266,197,855,000,696,671,519,476,009,895,356,
947,283,607,003,445,081,369,265,822,371,764,487,882,094,754,668,134,141,355,
452,776,405,042,369,626,170,243,744,336,685,324,278,215,171,882,291,781,599,
306,531,222,190,236,421,592,229,596,712,864,603,272,389,976,669,412,947,933,
018,176,049,267,358,846,695,475,796,251,828,014,482,511,237,259,883,474,630,
579,219,501,699,718,971,536,249,230,277,595,889,519,802,186,073,760,940,296,
377,847,492,891,942,721,810,816,378,913,000,433,378,295,277,738,055,053,502,
568,905,206,862,356,033,066,197,433,273,402,595,358,627,813,938,814,215,582,
237,698,396,292,003,713,556,665,526,440,241,660,386,857,666,890,412,045,096,
736,861,080,525,115,211,412,285,772,507,008,842,838,036,622,776,074,399,528,
290,795,951,187,358,957,137,696,568,216,530,918,082,746,222,129,370,496,156,
112,142,858,804,664,979,363,925,482,709,059,116,449,676,945,875,387,749,599,
766,594,920,446,233,481,506,903,598,537,202,757,919,907,867,204,501,369,559,
722,102,726,341,097,180,228,895,418,274,873,646,494,199,574,862,809,252,281,
311,134,033,582,871,268,909,580,376,646,251,734,264,989,032,446,855,866,332,
865,305,031,757,087,765,621,777,214,277,303,720,694,579,070,123,033,819,621,
350,582,844,953,136,686,134,613,375,360,755,149,361,992,859,558,110,167,565,
113,941,527,879,854,255,105,630,953,183,045,056,682,969,693,332,115,918,877,
694,433,505,823,736,027,914,871,259,313,804,337,179,073,085,540,422,878,850,
990,269,964,938,261,160,363,800,403,534,104,495,152,863,716,118,072,537,980,
603,080,490,937,137,061,130,461,037,063,087,959,917,802,931,483,934,281,826,
036,305,912,277,761,533,390,814,808,110,817,574,280,029,487,306,762,346,859,
011,058,290,300,179,101,939,401,611,402,410,500,650,993,503,249,426,408,944,
999,649,174,506,039,432,843,958,834,098,454,022,187,236,175,700,476,082,577,
282,218,970,414,716,297,621,831,997,692,215,415,607,541,512,113,577,043,835,
200,985,295,091,457,315,301,146,962,627,382,238,515,036,689,182,627,058,790,
624,072,632,279,434,754,557,775,077,341,366,095,954,231,985,784,134,763,038,
157,161,550,793,125,093,542,209,496,570,710,219,380,921,889,466,308,246,050,
017,190,743,735,553,679,646,544,161,275,379,119,120,273,116,489,599,981,080,
244,797,341,669,611,344,063,734,136,031,421,360,281,111,222,676,602,312,813,
250,994,990,248,887,229,718,031,674,194,132,049,442,312,075,415,052,466,106,
797,807,773,140,884,827,438,521,462,927,840,599,055,881,517,807,050,432,167,
063,078,846,753,995,752,758,663,939,349,070,158,540,769,752,927,273,833,884,
260,671,903,780,319,489,221,706,193,931,677,925,466,290,449,894,930,821,056,
936,222,753,853,931,267,414,750,190,250,221,296,069,444,028,975,438,616,215,
557,669,235,599,292,073,403,900,564,037,692,314,313,167,158,320,321,441,139,
071,999,905,224,733,184,938,441,856,096,054,645,599,190,476,169,034,620,919,
292,246,367,074,439,578,812,113,737,116,719,371,177,457,238,889,670,516,023,
078,640,049,610,734,746,636,336,054,194,538,918,645,610,429,544,573,852,597,
283,810,110,257,585,998,640,002,855,520,408,908,870,789,038,284,558,303,435,
589,383,291,740,155,045,038,821,985,453,911,459,348,256,967,057,683,929,399,
573,646,110,751,998,256,887,574,702,441,009,702,315,111,271,534,812,119,419,
597,459,915,772,866,138,872,127,993,243,078,393,595,241,959,645,839,846,403,
723,322,900,651,778,093,755,005,381,569,363,170,621,960,538,600,528,416,777,
773,759,936,531,248,544,227,126,796,730,861,599,982,095,014,687,363,477,432,
352,716,977,166,116,126,942,173,841,488,577,010,723,949,365,578,253,081,338,
135,822,762,092,532,891,145,796,564,441,817,639,354,396,953,980,878,624,240,
497,568,371,360,915,096,290,008,162,063,668,995,227,939,024,979,247,862,771,
902,820,345,948,572,069,379,832,301,087,524,045,735,296,693,934,985,820,366,
146,855,014,439,248,810,480,594,722,313,303,116,780,871,796,033,228,197,781,
541,299,599,198,884,208,833,270,582,348,338,608,108,257,516,347,370,954,328,
445,374,549,809,290,525,800,351,637,480,009,388,068,754,114,533,709,542,545,
749,496,447,646,595,411,001,907,221,478,409,658,251,652,410,015,824,079,751,
812,405,135,929,670,001,762,086,139,234,768,650,337,387,005,236,455,908,830,
691,059,790,052,420,587,986,068,597,340,557,276,042,856,663,582,949,532,087,
206,371,815,978,525,685,347,112,743,723,622,108,498,814,021,565,752,177,151,
506,051,239,455,642,931,353,591,842,901,368,446,124,696,637,324,956,273,753,
004,761,905,169,077,802,359,148,748,806,826,629,777,622,815,203,817,338,162,
272,391,248,532,419,444,214,269,618,361,762,002,563,146,191,162,802,817,962,
441,756,322,196,637,944,720,553,807,560,454,331,567,388,921,964,807,224,608,
076,973,360,754,341,481,889,019,588,137,742,139,668,404,114,885,813,744,360,
996,080,170,340,852,533,238,689,603,157,167,583,490,850,611,174,709,103,741,
086,592,370,925,847,767,870,443,496,174,169,087,951,749,258,232,972,193,848,
077,936,170,266,322,305,008,790,274,117,023,728,730,129,502,021,914,483,345,
117,866,334,800,296,639,720,600,807,402,038,250,392,255,275,116,067,949,504,
515,062,070,089,495,401,741,884,751,330,936,584,727,739,888,915,610,365,217,
269,419,589,328,429,588,574,306,135,954,122,985,936,999,242,697,170,792,195,
818,457,612,437,526,612,281,418,214,538,010,833,940,791,055,496,178,609,937,
470,712,207,600,138,143,296,544,534,213,364,921,855,291,857,291,865,487,771,
742,147,861,409,841,009,455,763,610,374,020,296,459,660,430,056,843,539,112,
458,845,192,093,610,094,423,941,948,913,895,427,023,203,671,577,873,086,222,
006,012,461,664,584,671,620,522,138,275,402,578,628,830,559,628,819,327,357,
602,557,331,480,909,318,024,104,787,446,562,745,130,174,999,491,599,454,272,
442,152,447,426,430,376,079,891,462,039,822,494,006,509,873,374,077,480,614,
717,784,321,977,048,861,880,429,499,595,517,394,617,179,017,888,899,688,434,
816,061,472,765,909,387,473,575,314,750,151,559,266,721,927,777,463,760,400,
885,635,515,455,634,122,140,844,232,131,632,476,338,178,296,754,151,624,630,
107,374,454,977,660,749,699,617,661,050,937,793,357,806,309,107,141,222,956,
023,993,096,060,972,771,446,869,194,673,128,417,276,805,115,992,075,258,270,
481,594,603,936,839,887,768,098,226,869,809,656,469,865,759,796,229,762,959,
299,355,642,700,616,121,896,154,713,819,181,381,546,510,817,697,184,848,849,
032,822,826,068,958,446,640,032,344,481,266,791,784,699,152,428,768,292,967,
588,337,827,803,965,206,717,072,565,655,304,888,358,508,328,837,308,932,150,
119,583,917,701,931,259,474,023,285,243,693,165,729,509,647,835,185,633,379,
680,970,300,031,505,651,863,951,565,588,949,779,660,212,231,514,439,827,256,
155,670,180,319,465,775,747,692,161,206,953,731,875,276,678,216,114,494,090,
937,781,361,637,313,035,124,403,066,259,625,355,752,771,796,864,961,962,880,
951,715,951,460,623,617,727,396,841,306,793,071,566,723,556,866,974,820,850,
723,307,405,937,347,684,986,344,729,183,447,560,374,827,826,276,766,678,804,
076,873,129,711,240,566,171,524,428,468,307,862,875,851,921,976,574,819,281,
211,096,852,578,506,681,550,226,809,548,008,307,018,596,279,506,969,941,055,
799,563,989,952,560,961,746,915,378,894,215,507,008,199,628,041,185,084,822,
523,796,643,423,957,844,372,966,831,203,448,904,097,498,029,631,995,784,017,
266,125,167,461,507,022,852,441,002,970,718,953,522,930,344,757,516,012,725,
130,620,522,543,363,658,946,540,214,473,596,667,120,359,550,103,536,018,071,
475,219,146,806,421,509,620,410,218,858,737,861,278,368,012,002,041,789,935,
197,377,906,141,322,478,971,978,800,919,786,817,247,924,839,903,749,608,637,
187,692,179,646,147,484,701,363,683,645,088,115,069,595,023,107,073,063,010,
619,698,574,735,384,136,054,551,732,321,914,994,963,480,680,160,086,232,435,
365,351,054,969,708,358,314,129,784,959,658,734,540,035,399,389,739,545,230,
830,663,438,521,445,349,673,406,080,783,653,490,976,826,223,718,425,234,320,
685,817,563,815,443,510,870,644,675,253,969,806,961,217,458,492,181,366,509,
555,070,738,421,371,740,610,081,790,578,624,382,323,572,008,744,267,445,569,
742,128,460,849,499,643,123,188,315,132,835,776,237,518,524,956,935,260,454,
479,738,215,426,703,061,315,250,117,171,336,686,225,716,060,008,522,442,231,
312,958,749,922,429,492,735,642,607,623,806,531,333,276,462,515,519,839,960,
371,723,707,023,762,705,732,519,199,178,430,397,398,192,378,857,851,517,943,
771,243,247,951,406,892,077,763,274,025,537,180,309,688,936,566,122,745,990,
974,846,429,141,485,375,196,784,817,868,786,129,554,704,129,183,193,276,638,
934,473,426,698,313,392,432,700,994,231,447,149,257,657,310,615,396,443,019,
159,100,336,319,553,264,483,208,386,558,607,368,820,138,537,358,816,384,601,
894,093,293,868,512,237,358,638,111,634,707,316,875,045,011,097,867,723,933,
609,125,181,351,611,538,820,500,676,007,717,514,614,633,906,264,970,341,828,
393,249,691,540,684,861,125,612,643,478,538,432,292,848,042,700,641,030,718,
065,995,463,878,010,770,824,353,608,766,466,194,872,586,112,568,920,029,447,
885,247,875,411,875,469,101,611,479,809,862,490,887,498,214,332,936,016,976,
345,321,369,824,619,249,498,500,562,791,596,187,809,330,492,851,080,358,082,
036,673,710,730,745,196,411,593,895,310,733,272,536,141,679,786,150,564,927,
583,858,124,035,334,406,778,681,251,546,058,357,576,505,982,593,383,396,164,
237,676,342,954,278,821,583,641,623,417,645,713,980,640,873,606,079,587,942,
308,035,793,481,545,643,553,563,805,366,040,857,858,023,579,115,513,791,939,
578,742,324,069,233,255,791,752,601,239,484,247,335,328,799,966,369,696,549,
651,728,363,230,978,900,576,423,087,283,243,026,679,378,157,571,979,672,011,
711,917,321,541,279,495,590,349,107,463,600,687,244,539,308,206,212,403,321,
223,003,951,296,178,068,653,824,649,905,124,262,848,757,724,598,417,128,888,
249,251,058,971,027,497,565,317,140,595,256,751,144,989,619,536,533,213,092,
706,562,580,565,994,947,189,936,585,826,555,227,338,202,255,792,011,912,105,
742,660,249,161,666,608,517,185,725,819,532,852,969,163,512,513,657,386,804,
413,203,794,381,368,470,672,865,274,379,578,144,310,569,648,688,337,474,144,
025,995,270,936,663,825,907,457,410,475,431,520,140,875,274,738,941,903,477,
311,864,462,239,543,080,939,374,273,297,503,625,410,026,079,015,520,125,757,
935,286,337,068,516,389,161,334,432,114,587,095,578,009,924,197,867,657,992,
045,005,906,682,046,956,299,825,511,025,125,126,258,015,877,114,425,430,105,
550,608,137,494,765,723,629,772,400,648,948,695,707,554,374,824,996,827,865,
619,342,463,705,462,782,600,761,495,961,900,514,948,666,566,792,810,358,027,
250,010,053,115,393,846,702,682,448,243,842,165,255,374,398,582,497,736,120,
066,071,494,462,437,877,432,129,917,449,334,385,234,269,568,567,580,461,270,
541,489,418,604,980,510,482,424,615,574,418,002,671,332,419,315,128,700,724,
001,195,922,289,951,843,360,178,095,083,262,363,001,383,341,961,771,146,000,
826,123,570,771,511,025,761,193,307,791,597,670,254,355,617,450,323,514,663,
285,884,085,421,678,032,815,286,782,362,104,517,915,466,413,726,727,664,699,
665,898,752,749,663,333,014,699,824,547,412,747,297,121,733,432,221,151,431,
067,902,645,734,072,852,189,280,341,244,304,858,252,272,472,341,067,477,043,
026,085,129,689,481,437,443,828,295,644,904,437,952,472,830,197,321,475,547,
840,498,638,818,761,843,224,616,629,773,619,325,179,947,216,463,252,866,090,
584,269,307,799,599,084,612,563,927,806,375,313,895,571,702,857,204,850,890,
886,538,268,782,512,846,066,229,570,693,674,245,005,351,829,964,282,604,436,
466,632,469,130,600,814,587,981,260,837,683,160,122,558,312,645,136,023,580,
401,139,869,342,685,582,224,863,610,247,737,705,604,765,631,980,674,671,224,
235,419,047,125,673,288,666,698,219,252,158,923,250,700,499,053,263,464,330,
708,669,790,278,265,243,094,766,849,938,890,103,832,727,683,981,071,455,656,
303,698,885,558,059,487,944,772,176,635,681,623,664,385,890,083,509,827,329,
595,629,206,412,664,556,451,385,234,252,570,630,217,659,030,743,587,336,504,
108,363,599,558,184,607,329,887,610,103,142,712,607,693,297,331,745,956,710,
578,968,152,085,363,192,404,830,923,877,167,593,702,130,924,198,505,838,650,
205,444,140,087,799,749,367,931,104,672,348,616,109,850,038,870,546,877,457,
181,151,839,641,282,409,670,850,425,292,633,201,358,473,768,055,673,737,514,
083,994,135,651,644,098,201,729,751,228,136,732,029,129,593,945,377,368,028,
420,277,632,309,747,305,149,920,126,544,312,665,648,820,929,286,563,391,501,
119,285,853,991,889,327,860,644,777,874,325,968,815,226,988,028,026,949,513,
590,386,825,821,010,285,353,443,893,646,348,327,595,267,101,254,327,187,697,
859,612,635,195,895,150,180,399,000,030,271,563,481,616,427,377,447,970,355,
905,371,191,643,782,344,804,979,870,863,989,698,413,964,165,141,802,792,516,
034,081,396,557,628,638,639,176,312,095,432,579,630,312,533,024,780,456,423,
939,597,294,615,914,020,776,705,608,718,372,612,849,776,755,244,727,803,274,
558,613,270,306,261,785,724,888,836,508,666,970,150,322,857,346,002,822,088,
940,303,007,794,866,255,280,759,095,468,400,769,238,339,848,119,645,005,634,
327,122,421,348,412,594,333,779,430,428,257,724,599,645,697,768,047,440,458,
596,597,463,718,185,473,831,367,108,140,774,475,144,035,620,396,051,259,991,
182,728,191,416,826,137,280,382,336,194,490,480,201,051,367,501,435,373,072,
391,270,273,763,365,185,823,311,508,444,326,156,808,628,516,555,985,623,276,
737,886,285,794,858,060,969,174,436,683,859,809,234,974,435,647,368,105,280,
080,323,158,683,558,335,063,856,051,389,112,738,022,880,811,808,598,107,549,
277,197,938,896,215,701,558,672,329,383,018,320,254,757,018,984,459,637,926,
025,604,461,909,383,627,675,600,538,959,365,635,317,730,359,490,707,610,294,
002,998,149,043,238,201,956,794,670,015,831,821,343,516,803,439,093,428,096,
495,437,085,443,866,498,711,666,804,902,506,922,018,673,351,104,663,700,107,
348,769,360,636,330,925,661,364,609,470,658,967,315,595,466,867,215,373,431,
723,312,706,351,380,142,314,926,227,202,928,266,612,778,331,683,716,140,050,
947,986,447,954,671,934,055,082,776,518,360,915,105,341,794,496,698,918,203,
944,101,838,895,907,293,664,967,323,889,140,900,273,305,849,525,365,676,189,
717,915,012,501,242,923,407,504,830,046,567,862,796,283,379,437,676,983,311,
937,876,770,427,316,196,636,022,638,802,166,445,231,679,751,355,232,948,468,
922,939,117,558,000,082,237,457,595,011,061,809,772,630,587,800,566,885,006,
376,761,682,728,892,264,734,681,850,582,588,033,911,603,913,312,416,491,348,
986,794,029,639,138,688,445,051,589,560,511,240,336,158,268,635,948,813,875,
310,783,683,470,454,454,327,887,306,958,370,869,712,038,860,695,688,478,410,
265,945,344,266,549,009,677,539,281,015,714,107,474,302,531,509,286,836,118,
996,608,856,651,963,854,244,235,498,211,589,367,518,078,190,861,939,069,327,
929,134,912,528,520,338,532,624,537,104,651,803,273,924,194,201,999,915,143,
477,247,964,069,110,813,777,086,030,283,929,272,621,668,420,890,236,182,940,
924,219,702,927,892,257,390,352,712,422,915,534,849,209,812,713,744,033,464,
223,141,614,893,273,250,577,281,995,001,584,284,711,590,384,629,415,387,166,
106,545,951,493,942,483,019,820,009,692,973,144,367,430,418,886,256,293,753,
729,757,498,558,279,868,947,281,116,864,593,686,308,872,227,420,421,244,705,
290,779,330,802,168,345,751,504,583,388,717,620,979,585,382,468,754,702,152,
710,381,018,355,161,719,561,242,592,014,580,040,162,316,922,349,482,424,843,
874,948,776,471,120,220,002,159,890,548,727,977,832,168,626,366,989,625,017,
587,016,141,658,644,251,484,568,421,564,174,305,615,836,738,578,119,850,948,
912,646,834,320,487,024,078,542,310,390,693,667,480,953,526,644,490,317,480,
797,626,738,098,260,503,767,584,700,795,482,540,936,307,651,752,960,338,202,
905,245,955,427,160,107,139,242,881,106,573,375,048,437,275,117,708,238,242,
143,597,968,299,884,549,686,532,584,656,116,163,185,991,044,633,913,845,366,
443,114,779,339,391,017,323,172,658,881,441,055,410,015,992,005,980,857,427,
308,316,904,953,369,824,444,284,067,046,312,125,037,600,465,109,537,191,609,
165,764,388,200,411,680,241,660,713,849,901,692,051,768,133,228,192,493,767,
167,468,266,462,345,739,311,289,626,826,840,101,136,284,545,259,993,787,427,
433,095,912,725,515,903,822,804,486,308,870,150,119,925,275,996,705,833,230,
268,776,139,411,335,496,687,396,127,520,154,285,086,062,606,507,001,323,604,
371,086,277,373,376,636,021,901,302,345,984,682,526,154,628,269,909,770,650,
779,084,986,032,299,704,603,409,862,659,370,700,741,013,454,765,045,482,247,
954,793,312,096,211,013,239,309,225,763,594,483,177,718,198,031,966,192,260,
676,981,773,127,649,762,817,693,269,792,643,661,587,706,634,867,704,315,285,
746,883,005,294,060,750,015,872,030,547,414,610,666,371,245,273,477,596,518,
084,221,139,395,046,204,892,466,130,977,399,485,938,367,068,305,553,982,243,
230,246,789,764,642,203,513,965,993,197,044,857,584,381,097,647,458,552,520,
132,073,338,977,590,931,786,300,669,583,962,997,717,915,259,140,652,877,833,
535,045,093,104,648,702,801,041,852,212,107,818,490,180,543,118,641,428,853,
380,520,757,563,372,088,349,928,533,026,026,950,072,703,743,368,075,230,703,
976,432,499,929,908,062,602,693,024,937,605,018,585,954,552,289,722,548,183,
912,208,104,923,495,125,766,080,937,333,365,067,361,144,570,302,411,062,008,
790,463,985,617,976,311,953,349,013,650,599,113,369,340,471,992,368,136,427,
960,975,629,830,780,277,429,952,007,541,724,371,316,813,722,036,073,484,341,
612,900,028,323,838,061,388,207,646,888,514,497,080,683,303,311,948,967,251,
244,279,316,838,262,755,106,608,080,901,902,451,006,177,353,357,269,450,708,
006,763,325,716,971,941,270,760,145,864,709,926,769,552,471,403,893,259,450,
215,682,780,563,245,710,965,734,475,472,309,832,254,374,417,511,602,254,567,
971,179,117,733,488,778,613,273,651,576,634,920,846,870,237,318,335,154,916,
226,684,141,974,765,194,518,953,343,818,509,937,274,868,130,768,104,562,680,
808,659,467,179,051,146,914,644,956,822,190,750,824,453,069,781,000,724,014,
990,364,357,825,360,381,417,830,295,852,029,888,724,730,774,813,032,979,139,
137,457,572,932,744,885,402,555,530,841,106,087,242,333,742,703,321,577,080,
324,889,896,180,388,074,716,787,532,795,962,395,815,388,652,256,682,189,099,
617,761,416,709,426,514,125,241,332,207,275,343,546,057,958,094,015,617,142,
537,251,656,996,098,213,631,843,149,931,992,945,056,594,256,327,164,099,649,
181,645,651,156,294,649,680,910,313,196,546,514,628,681,542,900,126,047,761,
673,337,053,883,137,354,062,660,040,456,839,433,851,186,435,769,133,181,398,
388,219,017,192,784,507,022,352,895,303,463,254,903,815,490,356,010,526,800,
832,000,607,052,959,811,779,091,116,425,743,177,927,234,201,482,068,120,757,
673,178,285,911,427,085,393,307,049,977,787,472,245,190,713,437,050,973,084,
849,920,569,088,398,674,824,275,648,867,070,608,538,097,945,727,810,335,429,
479,420,777,880,312,482,375,632,483,852,812,291,022,244,050,939,785,271,346,
517,630,857,801,517,487,305,643,151,938,557,906,385,684,925,034,214,421,084,
707,480,667,348,046,729,340,008,419,889,946,458,980,709,865,113,938,691,665,
700,529,600,068,950,657,584,111,998,448,856,289,538,413,963,587,895,741,397,
466,766,224,782,985,743,130,860,119,696,749,647,335,682,817,082,296,774,551,
565,717,607,190,061,783,411,322,591,030,582,037,018,001,221,962,587,106,362,
669,017,560,406,839,989,843,118,345,203,295,688,334,617,931,899,260,121,803,
689,266,330,500,862,651,664,443,975,753,607,173,483,871,781,508,690,235,951,
230,762,028,791,472,347,045,506,218,573,010,423,908,645,020,004,683,691,134,
723,237,438,961,207,531,416,021,332,858,655,722,536,482,565,316,094,210,704,
122,335,811,615,006,071,202,556,306,468,183,091,292,439,625,281,319,911,308,
851,013,173,908,959,925,737,805,397,408,732,734,462,567,507,046,340,116,261,
055,673,047,205,097,672,681,111,947,544,518,265,698,257,781,382,293,628,713,
519,275,797,934,382,036,844,500,125,234,024,058,344,781,384,898,410,059,810,
704,536,524,919,103,357,440,795,956,038,780,780,518,526,408,796,925,368,988,
273,041,640,293,699,112,458,912,922,227,510,376,013,560,240,419,730,757,226,
302,522,090,301,156,875,907,302,306,306,121,810,696,283,485,389,308,146,190,
425,754,499,189,587,976,924,745,480,643,615,879,772,255,395,825,952,171,754,
962,354,975,902,184,541,961,026,690,817,980,249,022,139,718,511,572,984,964,
580,454,516,531,501,277,490,893,660,148,651,898,239,421,789,480,810,776,543,
748,897,712,757,282,353,682,649,239,363,849,448,015,519,279,753,226,776,592,
580,700,956,779,558,655,307,167,031,247,596,787,923,144,707,631,780,847,721,
846,711,867,666,556,009,307,708,489,547,563,372,274,533,157,029,360,687,750,
820,915,339,632,840,212,682,239,950,155,235,704,693,962,923,806,905,151,015,
192,404,807,709,569,091,772,775,311,172,128,403,279,372,938,093,299,729,743,
827,350,118,696,000,191,893,836,754,731,595,972,719,995,284,275,521,228,363,
649,258,566,859,625,368,899,540,521,251,988,998,140,739,117,169,454,327,374,
873,970,831,100,193,677,403,530,801,373,082,844,249,024,873,924,925,371,417,
859,781,816,110,164,805,730,490,408,479,002,657,718,381,652,217,589,801,458,
860,661,220,202,701,833,653,937,072,648,486,550,619,144,484,839,040,213,162,
012,241,836,723,544,619,670,604,341,756,655,750,301,584,789,236,012,023,742,
726,983,869,598,896,195,607,526,585,134,523,849,251,753,811,595,220,224,373,
783,291,518,753,242,135,067,417,448,474,700,296,235,982,648,711,220,543,623,
842,641,057,496,220,440,614,937,754,028,138,807,899,352,238,467,910,194,543,
818,852,449,669,967,035,324,161,715,789,113,369,941,215,134,939,597,763,725,
448,497,237,176,455,088,419,295,296,724,988,799,457,380,362,477,539,114,804,
343,667,820,205,122,845,670,567,900,112,666,322,370,480,119,180,120,025,007,
298,534,040,579,165,801,641,600,547,563,243,271,426,360,119,656,992,493,957,
808,771,441,033,169,022,815,711,056,470,598,353,658,532,206,463,137,728,544,
421,284,374,844,194,788,247,869,773,559,425,950,116,484,224,438,816,298,021,
066,886,250,198,038,331,245,169,525,702,988,610,727,378,498,239,495,960,496,
813,761,674,333,378,074,151,956,010,029,768,060,544,329,591,147,913,843,367,
862,537,365,097,257,829,448,319,000,093,842,074,382,314,713,467,210,642,703,
820,523,473,205,200,958,457,937,182,516,129,653,877,102,386,303,524,343,478,
648,303,457,657,295,542,880,101,885,872,799,333,921,185,485,310,517,798,781,
303,452,980,942,072,899,983,940,834,167,386,470,472,551,667,850,817,157,506,
775,531,380,887,398,729,004,382,172,824,733,202,685,406,165,457,851,382,390,
219,444,357,939,435,919,999,372,458,796,836,860,933,760,767,333,674,213,661,
060,820,641,570,247,557,414,181,611,832,581,346,254,794,711,116,462,307,564,
770,487,464,079,652,329,967,646,670,130,080,804,906,401,506,280,233,696,200,
837,350,974,176,923,559,246,003,889,217,210,070,137,314,916,148,867,974,563,
512,070,462,852,606,111,093,466,270,139,506,692,769,164,813,847,023,095,194,
945,954,101,159,366,035,591,943,474,535,144,764,102,951,218,361,236,658,519,
630,648,810,540,410,304,110,451,969,214,714,917,725,575,260,179,858,997,040,
990,661,664,523,475,465,814,975,803,426,660,945,207,478,528,080,677,622,454,
020,906,008,902,438,358,193,989,120,475,725,925,583,691,822,256,804,731,925,
081,854,327,905,756,193,847,083,828,079,079,097,214,510,864,003,855,427,307,
792,319,862,154,387,542,661,968,571,456,800,926,935,450,626,364,751,473,913,
339,324,666,387,965,239,913,217,962,175,061,511,111,371,699,467,767,949,072,
525,885,106,451,633,360,550,018,567,114,961,075,912,279,735,143,042,145,095,
651,671,907,162,098,493,863,064,915,572,278,709,014,253,259,913,647,000,430,
076,085,540,802,984,587,618,807,384,390,389,421,075,560,641,130,022,253,089,
896,042,259,540,327,604,675,443,319,205,474,593,065,886,526,846,601,709,297,
736,684,729,735,669,569,970,841,323,060,666,751,691,200,093,138,921,297,312,
695,413,813,103,846,873,442,363,405,786,010,964,269,350,806,361,715,585,342,
363,485,158,067,870,594,256,116,930,777,375,832,783,479,429,566,087,597,846,
691,156,739,653,545,707,136,506,096,421,287,169,832,630,588,737,118,699,350,
760,870,531,525,493,650,460,586,728,427,856,022,843,916,965,291,502,196,607,
666,251,955,907,849,113,590,512,595,891,648,412,842,588,460,143,613,961,221,
215,418,640,682,244,501,259,389,991,676,643,802,868,568,414,970,628,318,174,
034,713,283,229,561,243,335,250,385,923,362,558,551,102,152,957,764,150,854,
493,519,284,237,441,219,389,154,945,100,662,900,411,998,610,006,429,577,545,
580,731,672,556,775,415,587,036,161,320,455,238,620,835,102,342,070,153,844,
653,414,641,290,110,810,978,451,984,297,649,173,300,125,425,211,908,144,353,
263,474,652,730,658,417,686,098,731,548,657,512,506,591,749,220,641,162,977,
661,486,342,268,261,623,715,823,613,265,818,652,930,349,159,916,809,898,442,
770,843,766,133,892,476,537,774,248,252,460,130,810,548,702,856,733,237,906,
595,209,856,516,732,365,283,822,944,210,732,966,615,174,576,245,226,960,186,
570,402,978,190,940,676,727,688,030,167,731,513,381,216,695,663,755,482,253,
755,755,793,956,867,457,479,128,427,795,665,113,634,696,721,216,960,537,471,
429,168,099,969,406,160,729,151,703,241,080,140,140,012,812,207,255,377,088,
553,911,235,755,962,131,588,949,889,795,238,510,261,610,253,156,695,906,403,
787,888,584,450,182,876,967,637,551,448,216,192,984,969,647,063,515,154,879,
374,546,083,648,714,445,926,724,805,682,583,426,606,180,857,708,131,616,553,
891,609,669,147,407,273,639,007,062,874,099,266,637,285,285,053,913,004,052,
120,116,813,162,045,627,502,212,805,073,548,258,129,979,130,640,993,088,754,
038,963,585,334,916,320,154,434,638,345,131,021,230,094,310,552,320,957,126,
138,769,387,239,087,921,194,287,827,388,990,934,812,417,603,739,792,173,796,
049,591,655,868,261,374,571,906,403,510,058,305,507,330,146,365,151,658,906,
099,196,388,610,688,753,252,902,382,446,259,813,774,052,925,593,409,674,295,
422,460,123,154,648,870,364,000,600,725,535,270,011,257,051,724,713,902,366,
239,890,725,324,014,105,072,225,926,442,599,804,531,215,050,260,574,735,417,
203,559,988,599,223,957,704,379,585,829,011,999,085,169,251,736,488,513,368,
121,339,801,952,233,521,191,696,378,182,256,648,180,255,789,881,299,658,694,
645,164,861,176,618,984,960,669,198,785,064,986,924,076,794,264,513,173,728,
301,045,345,208,257,066,332,059,476,214,116,957,703,649,229,032,403,044,692,
570,638,169,616,879,893,190,999,698,128,996,046,141,479,046,866,835,597,488,
138,481,906,834,887,329,411,697,152,950,744,448,250,719,116,962,208,465,877,
489,614,588,485,522,662,997,917,560,607,071,622,316,092,372,389,060,097,798,
540,322,606,244,493,914,647,765,184,856,437,440,067,877,248,615,054,992,839,
698,914,124,316,152,858,157,786,877,608,073,133,564,924,272,704,414,454,838,
558,455,017,305,568,092,027,500,674,245,963,076,493,484,883,395,335,012,810,
385,148,926,114,443,068,949,708,646,401,054,587,631,172,196,661,450,705,933,
289,652,596,235,301,815,213,055,195,408,778,716,167,157,663,677,525,640,111,
679,241,898,879,178,847,721,936,490,663,366,053,689,187,575,419,693,746,177,
701,882,689,853,873,167,520,758,460,218,894,829,794,724,519,676,490,945,053,
260,849,710,531,526,716,496,673,622,145,282,764,453,911,951,938,345,307,706,
207,978,413,010,011,292,363,791,294,678,858,257,030,089,946,652,609,803,801,
849,510,532,778,428,508,545,884,190,993,140,564,469,711,502,994,423,370,651,
452,795,201,646,452,173,399,267,889,834,755,211,789,944,938,720,684,264,687,
132,312,934,223,805,933,285,275,529,814,204,178,955,051,959,211,021,839,861,
610,467,710,617,103,732,156,970,643,243,299,224,269,733,489,559,699,376,887,
073,044,696,889,079,416,754,302,323,045,737,580,095,432,445,774,022,199,104,
873,062,834,405,438,545,829,293,735,495,593,513,371,078,104,795,546,252,499,
933,739,084,770,044,420,694,448,466,996,545,400,909,040,922,292,463,466,336,
900,962,453,235,552,233,076,417,967,040,427,668,662,491,949,333,663,622,051,
553,960,271,719,119,110,762,175,139,840,269,010,031,495,074,879,370,682,471,
455,485,772,474,387,414,355,637,575,641,588,857,094,983,015,865,990,877,380,
716,736,063,449,848,815,042,371,285,808,504,705,881,938,742,128,376,115,678,
580,184,367,071,347,734,462,046,585,197,154,223,245,384,923,167,674,918,184,
963,369,446,497,395,742,525,225,431,899,433,655,359,388,707,415,940,918,487,
140,243,687,858,031,918,302,252,049,500,809,444,039,235,085,166,450,332,493,
245,771,877,541,731,462,345,899,683,369,632,851,293,325,314,312,825,645,632,
658,565,330,995,155,269,587,267,296,586,772,056,884,447,299,591,863,789,845,
971,406,414,012,450,944,767,570,296,978,165,341,527,450,979,019,045,917,034,
321,991,457,830,740,293,452,895,587,051,199,752,040,401,517,284,932,676,052,
916,929,493,712,230,570,810,790,915,878,236,243,369,771,435,537,670,794,276,
966,640,027,895,399,880,371,262,089,607,968,489,206,226,520,409,545,740,263,
593,415,245,900,392,519,033,969,272,484,611,816,788,785,520,907,635,424,261,
339,424,075,262,896,198,767,194,308,283,901,925,724,112,129,751,346,347,313,
213,402,058,279,859,688,575,202,884,090,639,953,302,786,290,619,838,329,224,
752,571,739,701,234,742,018,309,168,235,758,224,100,594,686,484,790,654,210,
287,580,545,738,645,840,479,572,206,904,311,604,990,960,587,207,437,030,044,
550,044,220,216,975,899,505,522,298,213,270,904,544,387,923,498,688,278,711,
221,326,884,142,977,142,515,288,867,311,264,951,268,403,420,105,233,790,944,
622,340,554,377,419,506,055,500,794,050,581,403,339,210,985,984,658,996,860,
808,066,301,354,713,111,522,791,181,460,905,099,651,340,299,202,223,300,845,
160,230,858,296,252,757,727,679,442,640,721,950,028,899,010,530,797,240,367,
832,215,898,417,906,960,210,183,429,347,074,252,856,166,622,403,912,430,634,
803,169,809,385,413,985,893,294,477,050,571,488,402,767,560,057,787,627,831,
531,366,965,801,650,957,023,797,133,902,432,552,088,921,748,962,032,033,025,
184,009,543,644,341,707,075,970,249,082,335,389,722,731,604,903,721,948,952,
727,523,216,454,681,560,266,872,651,483,288,535,676,982,799,071,449,909,602,
275,064,541,798,708,031,777,016,303,353,368,094,368,455,803,140,066,895,177,
195,918,397,319,131,753,965,390,689,494,244,438,686,520,983,697,183,778,126,
873,741,007,046,789,884,282,374,676,543,412,723,322,580,024,705,545,360,108,
683,599,446,371,407,026,830,265,531,211,151,388,707,877,380,120,961,451,913,
005,278,245,964,487,442,560,060,580,084,334,509,857,829,644,555,185,572,414,
690,437,474,474,090,948,594,315,260,283,232,317,361,304,851,652,592,645,153,
425,907,279,995,205,400,040,978,305,180,031,859,420,393,032,655,976,483,501,
534,195,460,274,837,172,554,727,176,844,364,104,571,617,254,399,161,877,486,
606,279,337,508,989,761,018,785,694,326,408,726,393,673,964,458,310,656,929,
185,432,694,079,624,628,215,565,501,988,702,004,875,932,984,145,649,385,769,
211,112,803,579,942,266,043,495,289,810,431,470,901,153,205,027,824,630,754,
033,304,572,121,217,515,146,816,869,607,023,010,864,136,252,510,836,818,684,
830,172,697,357,366,411,399,125,982,296,142,807,516,633,992,913,809,239,101,
824,934,957,036,338,770,248,531,323,187,626,578,099,775,751,241,257,037,455,
686,449,109,378,777,933,026,674,079,816,136,704,052,585,739,349,796,506,343,
427,728,956,024,104,717,326,209,540,390,549,605,108,087,622,548,817,316,168,
460,786,170,398,472,636,235,440,199,005,856,360,708,545,326,774,829,827,417,
751,779,171,337,491,598,976,874,229,069,577,976,013,953,314,898,068,525,485,
694,017,062,581,772,955,097,167,523,790,731,513,025,297,945,315,072,585,151,
440,259,542,699,835,291,959,421,827,115,483,093,119,734,519,674,001,247,023,
004,178,091,789,823,844,271,238,392,138,742,922,279,180,441,474,410,547,192,
440,553,697,320,863,093,714,631,171,009,091,452,261,107,931,683,580,159,096,
664,082,533,765,753,436,965,842,750,361,267,587,084,453,370,543,723,899,470,
630,906,193,570,417,367,967,887,893,422,061,905,605,219,602,940,765,357,092,
285,999,648,886,062,729,174,648,667,479,163,288,504,051,417,933,005,863,291,
808,918,409,472,592,876,869,090,797,137,977,777,478,203,197,472,340,151,988,
059,017,709,300,530,542,668,651,340,673,032,798,165,986,835,574,924,255,919,
189,043,090,249,441,864,967,873,725,228,036,671,991,077,666,559,779,265,568,
138,631,925,577,064,595,850,946,697,989,585,408,989,829,855,891,096,478,576,
885,293,228,566,866,723,283,667,451,792,998,974,236,799,925,600,368,328,717,
379,119,403,783,947,216,320,983,472,101,787,750,643,080,609,214,080,767,172,
837,508,441,535,097,990,318,407,159,617,882,406,510,600,148,633,491,134,336,
637,889,073,539,200,280,684,036,502,395,586,047,020,175,131,005,099,786,836,
099,646,147,841,413,690,441,674,228,219,243,043,312,089,280,464,339,267,438,
776,844,599,646,066,932,453,746,772,305,464,806,575,254,689,281,733,827,161,
036,458,256,986,039,910,962,278,954,020,854,410,147,821,360,336,175,200,328,
371,269,504,073,839,370,725,441,476,587,771,514,528,565,562,011,113,142,188,
866,966,773,233,526,131,134,393,898,531,367,100,143,287,550,353,055,729,007,
916,428,821,378,880,608,378,825,999,227,531,047,180,746,953,799,914,236,365,
512,301,915,896,943,916,966,580,680,820,311,794,435,193,095,652,158,167,089,
468,766,517,623,265,363,987,062,898,843,640,738,066,637,484,309,806,905,579,
416,029,403,445,820,903,777,045,987,670,845,818,297,482,449,408,691,686,647,
780,060,015,929,839,964,563,140,687,654,808,146,398,925,258,935,903,374,583,
087,609,319,380,129,000,164,572,511,231,051,485,450,857,409,877,095,890,771,
123,611,881,317,471,403,381,850,202,189,178,119,887,576,279,869,344,298,162,
086,433,688,959,012,116,929,757,293,190,121,728,719,139,900,612,288,722,745,
678,328,309,327,117,090,948,696,043,057,302,410,874,356,741,226,666,154,349,
028,704,654,971,236,717,684,163,800,221,855,452,638,459,474,101,341,624,307,
603,431,209,594,221,384,587,354,129,054,142,417,485,234,695,658,741,573,705,
061,688,743,927,974,238,513,793,054,058,612,992,622,538,343,862,103,470,393,
800,524,048,533,621,030,018,027,812,068,741,019,707,005,368,094,597,903,646,
404,118,690,236,025,881,854,252,268,928,356,555,400,998,117,990,484,696,606,
946,215,167,907,228,435,438,497,714,783,608,527,554,872,797,717,349,028,021,
729,841,264,859,721,863,408,036,745,043,926,037,103,770,494,650,032,274,112,
664,229,401,139,009,349,469,096,161,042,579,716,670,092,773,036,686,372,726,
130,156,626,146,980,055,940,555,339,559,453,807,086,764,906,976,853,681,031,
790,373,812,902,177,807,121,663,116,237,234,777,883,179,511,633,766,199,303,
501,883,657,771,879,948,918,947,050,313,041,858,240,488,210,789,633,482,553,
765,479,130,280,395,939,069,412,341,479,623,196,103,417,963,355,850,885,038,
399,754,540,394,432,991,580,551,107,864,157,455,491,481,421,951,551,668,982,
631,512,123,074,047,444,638,370,779,215,107,774,275,506,654,278,393,438,282,
774,072,660,361,288,235,620,420,268,742,209,969,178,922,642,510,103,030,055,
605,466,198,233,074,389,611,390,495,021,031,255,474,015,842,683,519,735,210,
114,853,503,641,558,783,663,474,939,922,101,566,806,578,864,759,815,038,855,
113,028,501,363,772,429,060,984,451,186,717,182,289,867,365,867,087,632,329,
122,826,829,298,650,576,453,299,070,614,378,455,253,199,870,784,307,304,228,
226,881,789,101,021,158,005,142,433,991,763,161,715,371,962,077,243,052,479,
303,067,743,567,700,152,124,307,860,223,605,471,088,586,899,063,378,999,483,
116,597,723,465,888,817,425,738,211,357,366,116,557,547,681,767,625,743,870,
977,125,003,811,427,067,776,355,905,943,416,381,711,691,441,789,545,233,551,
912,171,424,204,820,646,501,773,027,889,061,363,451,199,539,807,232,253,506,
890,979,481,724,887,542,957,711,955,038,741,096,580,400,376,639,782,770,461,
648,678,063,331,627,668,482,150,866,443,987,497,319,594,663,336,098,025,885,
533,030,345,542,432,816,850,430,486,038,017,083,464,752,154,554,385,679,037,
577,061,384,708,180,244,247,744,485,431,340,266,109,430,182,855,610,530,510,
399,936,982,809,382,913,449,141,265,342,248,543,226,537,985,662,138,158,043,
792,540,754,161,908,124,627,402,002,914,091,663,564,692,735,173,437,265,064,
743,533,768,219,357,923,799,063,664,416,348,961,761,613,719,704,750,516,217,
335,670,911,048,952,584,466,915,218,346,953,858,273,729,069,887,746,651,287,
627,443,690,647,156,625,902,005,000,071,420,123,791,217,206,693,892,120,710,
795,364,238,246,486,176,061,187,513,641,708,717,783,859,175,718,570,356,166,
503,226,611,321,908,730,412,514,009,268,941,385,243,668,174,818,728,313,233,
959,600,961,997,121,822,913,584,568,876,381,393,613,957,304,417,961,377,212,
023,418,032,682,310,528,900,595,700,362,001,411,130,136,467,990,819,283,881,
596,295,787,111,883,336,138,124,899,041,438,373,435,479,870,402,384,161,401,
358,933,141,096,363,867,661,383,669,273,198,359,285,888,946,202,272,196,718,
636,662,848,480,780,877,234,262,787,616,897,984,298,701,818,761,189,832,456,
929,882,468,508,258,013,698,076,949,998,826,574,226,967,006,107,642,205,452,
396,214,848,829,856,853,867,946,167,277,307,880,582,874,666,170,192,566,156,
216,815,695,359,870,445,557,696,819,999,497,009,734,441,110,037,337,898,942,
566,776,842,644,264,192,862,739,061,831,830,017,721,521,947,665,704,941,308,
635,402,828,288,860,634,226,724,442,817,598,317,053,069,438,696,235,768,068,
958,615,573,507,248,009,336,659,531,329,425,813,026,860,769,392,832,641,158,
537,825,661,945,715,680,308,796,970,341,970,707,276,853,938,328,867,648,389,
506,092,250,368,399,471,555,290,807,328,857,333,749,595,393,021,877,709,408,
367,929,466,351,981,450,918,171,730,302,245,110,307,162,363,815,194,154,265,
745,062,162,412,003,883,980,189,958,902,244,279,170,468,433,007,390,523,779,
197,069,152,036,304,988,143,615,726,684,206,468,809,513,368,120,920,506,800,
086,279,164,130,386,482,732,220,880,524,994,866,083,392,266,033,262,836,579,
738,386,608,774,620,727,445,762,620,436,117,746,718,658,605,681,275,598,659,
120,476,843,639,832,786,988,167,862,428,106,449,806,100,824,785,915,151,007,
726,171,954,166,396,964,620,478,442,000,017,996,764,560,121,906,533,185,214,
147,889,107,898,352,555,999,089,252,876,980,248,289,640,762,120,316,875,500,
949,483,804,857,212,654,122,919,850,726,257,642,856,463,342,426,170,914,202,
002,152,455,217,554,499,657,948,822,995,793,647,249,154,444,873,243,727,484,
843,547,950,634,661,451,291,111,718,789,272,336,271,161,060,930,934,639,754,
979,736,089,051,258,852,383,346,387,485,072,499,828,037,226,952,216,666,626,
144,554,801,496,779,308,306,448,346,592,088,628,622,102,973,948,246,370,116,
865,410,148,713,583,762,953,541,274,052,542,183,301,687,870,206,548,740,821,
590,331,427,028,042,334,057,159,855,306,654,248,795,554,731,731,705,444,620,
432,679,703,519,203,384,429,889,128,819,050,083,165,952,706,547,943,437,736,
499,435,846,580,143,200,709,958,661,418,276,440,246,705,300,999,601,545,107,
552,949,824,398,895,008,912,594,471,306,246,774,943,112,716,648,146,367,183,
877,497,935,557,658,717,843,026,795,898,421,628,143,048,814,738,100,765,557,
138,774,328,524,007,042,439,281,086,923,831,972,348,625,175,284,109,102,271,
150,532,735,545,046,996,715,442,045,383,544,339,413,567,637,709,864,152,178,
641,657,634,451,914,455,968,748,252,587,849,987,566,457,463,595,066,820,145,
314,177,326,654,945,442,962,652,499,554,992,503,931,064,366,402,352,608,379,
991,456,444,082,708,402,390,093,793,491,935,218,295,461,942,850,752,891,961,
094,353,200,867,491,378,864,369,988,189,477,660,042,101,208,350,247,795,691,
363,649,522,111,597,644,121,711,361,186,050,894,850,799,162,927,374,099,013,
754,396,149,200,628,353,644,213,063,873,699,608,684,885,033,041,558,871,359,
071,937,676,183,321,461,049,128,702,341,248,364,663,242,459,142,947,018,838,
762,016,502,634,453,045,817,768,549,975,188,684,940,418,664,195,872,783,910,
531,538,601,678,467,943,885,213,077,586,663,016,803,982,279,717,582,380,546,
836,595,934,061,515,401,315,358,807,853,256,212,702,575,660,988,529,686,252,
454,370,376,626,625,782,991,659,560,154,877,501,416,853,187,518,570,293,893,
840,874,025,400,580,308,744,808,969,530,401,888,693,441,385,459,150,930,182,
694,120,411,855,107,463,039,953,243,358,740,166,181,068,038,890,999,579,602,
318,555,046,827,628,048,004,140,322,818,445,145,720,987,093,176,228,144,352,
286,215,431,856,216,521,232,663,692,166,117,896,782,649,457,632,658,039,392,
327,129,859,770,590,540,316,181,030,969,486,285,008,798,658,738,736,297,518,
069,817,298,802,540,041,979,008,780,176,725,162,496,809,764,695,666,892,496,
386,016,902,139,873,795,308,307,269,398,861,839,573,467,989,402,251,668,558,
434,653,957,966,260,264,356,494,413,327,918,902,943,412,001,720,096,974,824,
820,592,000,351,191,541,083,675,710,597,997,671,341,395,845,009,544,621,283,
746,618,136,774,874,873,683,593,722,820,284,158,253,190,284,550,058,616,780,
218,040,293,701,250,243,961,273,403,062,404,164,767,902,916,650,658,412,069,
798,988,907,784,764,629,067,134,790,208,589,860,978,495,469,099,948,708,692,
092,475,331,808,053,853,765,244,464,219,937,959,677,534,927,689,939,958,777,
871,922,761,303,590,676,534,653,646,860,449,292,028,150,960,330,282,348,201,
625,664,395,281,779,185,769,470,103,305,701,403,151,321,425,184,552,650,188,
038,393,702,651,985,565,883,855,425,212,732,680,763,086,192,331,793,784,711,
507,695,945,041,374,578,316,312,700,685,242,805,842,307,532,839,979,898,081,
799,416,910,340,612,662,990,640,991,357,774,959,567,533,087,850,448,726,494,
204,185,951,328,942,400,285,567,492,786,711,057,292,534,718,514,135,649,480,
186,332,267,122,805,868,730,611,878,786,173,584,469,841,932,126,980,116,737,
914,306,736,734,905,393,607,612,182,421,808,194,529,600,583,547,590,344,469,
015,361,217,491,915,307,101,934,875,612,928,105,613,735,279,639,412,072,723,
122,687,908,313,950,380,567,265,784,862,373,082,398,763,859,208,899,638,302,
734,541,947,910,131,628,987,696,097,463,428,052,340,607,786,514,986,973,524,
408,902,123,232,202,507,660,215,900,466,328,497,395,146,158,147,568,163,046,
888,640,863,327,267,040,833,239,447,855,253,109,029,721,933,401,727,700,107,
484,293,611,615,464,308,273,906,474,571,990,010,645,639,371,399,814,318,767,
903,209,162,996,603,043,889,011,418,961,557,353,713,423,551,141,552,522,874,
296,034,791,824,180,312,675,928,831,738,916,329,667,663,624,079,686,528,921,
356,534,457,614,173,695,976,204,182,255,085,193,562,408,585,927,162,505,692,
211,965,997,515,107,789,591,662,386,408,379,825,870,402,593,272,270,888,947,
224,608,079,610,466,262,861,667,161,615,495,220,775,057,816,317,999,210,181,
604,861,735,602,322,653,488,262,749,413,659,586,590,011,144,215,341,266,488,
228,286,383,616,649,915,495,356,178,544,275,374,070,968,144,203,805,924,140,
753,160,470,967,987,947,351,438,969,441,831,422,936,676,084,972,588,626,310,
283,556,204,825,773,545,825,154,441,854,008,111,455,328,139,399,483,977,956,
805,351,751,024,842,193,486,973,117,039,885,719,901,555,046,873,693,108,626,
257,469,047,643,583,687,121,122,853,754,000,162,589,383,368,001,191,150,915,
818,513,371,649,997,727,510,750,647,211,908,486,799,373,976,766,119,138,516,
880,634,689,535,053,105,926,975,881,541,802,398,027,406,629,090,169,499,225,
059,930,193,184,232,156,037,145,121,394,931,456,777,529,812,920,901,752,507,
381,344,468,650,341,681,635,848,654,433,398,115,227,545,561,707,930,090,207,
665,379,793,937,081,884,121,474,438,547,531,337,081,076,963,538,835,724,839,
316,527,517,125,757,772,233,492,409,499,248,096,334,320,108,113,408,418,641,
189,932,001,843,278,729,575,789,365,801,539,678,683,179,402,571,958,413,167,
825,449,278,618,301,227,639,134,086,035,692,812,551,474,739,936,315,784,411,
088,160,323,778,239,546,450,648,606,595,745,399,961,160,742,106,233,650,497,
312,911,438,069,835,191,633,752,310,719,106,238,225,297,335,162,564,296,392,
853,403,755,505,137,137,289,683,926,047,244,383,173,178,713,505,397,002,288,
009,822,006,681,008,397,032,506,712,888,555,049,153,729,872,088,561,279,661,
703,322,044,379,351,369,789,514,595,727,181,619,754,831,543,504,771,439,575,
821,882,965,521,171,010,568,224,035,926,367,831,925,504,266,607,978,017,884,
059,619,511,497,951,223,776,968,006,695,797,422,776,190,650,847,603,914,685,
754,153,447,685,045,878,180,029,850,719,720,909,827,264,715,233,722,525,158,
553,084,765,285,080,486,854,836,072,926,049,495,450,477,318,937,494,009,091,
272,576,695,733,750,930,796,394,824,292,498,500,732,443,058,863,475,249,891,
686,039,567,314,193,561,026,564,984,433,430,393,735,546,864,147,993,607,388,
297,809,625,617,075,375,291,256,684,641,507,844,288,324,394,977,896,140,312,
199,233,084,351,724,513,396,658,920,998,095,094,470,806,282,461,492,891,916,
935,972,718,343,181,918,834,697,139,410,304,507,016,962,247,971,525,961,217,
659,533,779,133,102,801,378,496,171,626,499,121,084,599,758,928,853,941,844,
310,317,978,951,709,982,656,774,667,645,390,019,805,243,575,464,546,429,845,
516,914,642,812,669,993,456,012,087,609,258,852,513,668,094,849,489,361,062,
188,691,355,785,759,571,331,042,880,661,412,813,929,266,701,745,243,965,263,
326,173,948,815,121,332,945,497,742,879,428,754,281,679,530,828,671,162,362,
215,456,608,817,393,024,989,187,074,201,835,135,592,677,357,516,550,046,009,
694,967,890,604,302,223,900,585,793,679,336,126,805,872,458,196,213,103,535,
622,511,185,903,827,880,542,987,891,567,742,025,749,603,486,839,996,749,868,
705,130,682,776,786,193,656,636,850,925,313,794,510,143,348,692,794,428,512,
455,515,876,205,598,173,414,717,690,786,263,478,720,388,994,533,579,981,969,
637,793,169,780,911,832,481,624,615,772,277,714,180,965,947,992,255,038,656,
727,562,010,517,538,727,524,995,134,844,052,718,052,604,929,524,193,190,831,
798,208,445,722,369,947,608,040,670,306,158,054,047,360,653,317,825,262,618,
487,384,222,720,793,874,711,850,454,235,086,181,071,651,300,782,875,741,773,
105,063,608,164,646,458,183,066,128,209,236,694,924,555,456,323,974,934,387,
512,551,008,126,511,392,649,365,572,053,899,981,090,603,332,154,690,775,055,
849,675,107,106,255,277,474,010,072,117,686,588,915,318,982,626,751,528,292,
058,926,095,153,343,085,998,547,654,447,564,288,554,916,258,787,128,423,633,
775,959,009,688,218,468,379,957,717,115,674,448,776,009,767,990,578,434,737,
884,675,411,609,272,591,440,308,633,698,262,025,216,979,082,204,517,382,605,
323,611,358,230,744,731,727,942,533,577,222,215,912,152,382,112,094,918,553,
376,560,122,277,713,728,339,148,176,801,559,124,451,058,541,632,693,926,443,
172,435,225,846,424,675,902,042,593,476,025,366,499,083,020,730,159,976,341,
574,929,834,333,853,173,789,930,900,671,063,910,545,416,874,475,422,504,236,
809,354,689,698,050,909,138,764,100,680,938,844,641,550,086,375,618,056,069,
803,508,731,137,753,280,280,468,707,440,971,655,536,243,357,809,358,950,386,
064,310,316,976,096,483,100,235,799,668,587,393,756,218,338,783,608,786,153,
953,700,853,752,863,085,785,631,345,148,646,439,321,258,508,309,643,812,455,
652,237,139,102,176,663,458,482,754,319,399,501,036,285,543,464,526,812,935,
458,666,884,279,331,777,667,918,176,788,206,370,520,312,470,116,838,608,770,
097,098,268,954,057,336,239,498,793,184,971,168,322,433,778,654,684,991,092,
996,166,353,742,876,407,960,272,030,827,827,694,747,365,987,136,973,503,500,
618,647,026,014,140,725,724,890,786,938,585,071,187,940,262,844,329,446,271,
604,158,377,094,626,296,925,511,911,253,413,198,517,007,335,725,613,029,742,
920,704,057,651,424,446,838,041,044,484,015,764,565,369,449,907,130,803,825,
342,795,811,247,856,983,744,854,377,945,775,378,343,763,903,113,224,429,367,
695,242,886,861,498,128,427,530,503,958,672,355,909,413,396,872,097,932,576,
606,739,597,732,675,511,301,665,347,302,272,805,523,577,229,704,788,261,503,
002,225,745,888,707,491,990,086,248,076,022,718,541,682,509,708,197,206,275,
266,913,479,192,680,015,814,644,832,638,146,715,768,313,752,981,931,984,806,
277,323,516,804,441,887,832,202,060,329,824,624,458,116,975,898,630,119,817,
522,639,033,858,039,337,917,133,568,736,376,887,213,952,182,993,605,737,577,
929,361,459,947,874,028,376,076,708,258,840,494,089,790,621,895,693,966,157,
988,587,598,192,089,671,720,026,744,206,406,960,551,737,673,234,534,756,529,
012,862,028,983,329,637,960,477,337,901,502,822,173,131,372,427,849,153,226,
528,264,279,096,505,359,984,111,563,643,495,437,868,158,858,691,655,214,192,
254,939,923,619,510,118,484,280,240,932,479,794,572,065,766,818,015,100,808,
878,468,023,347,058,428,585,515,018,358,573,812,079,241,221,193,589,244,972,
451,273,841,338,497,983,210,390,626,603,824,294,504,664,803,067,477,089,168,
114,565,804,448,493,017,686,316,977,468,127,090,689,939,733,660,061,598,613,
812,843,747,992,549,190,191,533,028,409,083,362,371,714,481,953,546,242,464,
352,834,265,308,795,495,104,777,489,423,207,745,605,952,509,638,085,061,733,
224,023,673,271,728,399,344,522,305,915,730,818,179,729,985,407,615,476,526,
786,872,400,530,635,627,589,159,413,780,721,908,162,462,243,058,912,697,440,
350,763,761,385,562,124,988,030,853,449,308,339,291,727,580,210,916,753,669,
172,718,272,827,458,867,694,806,326,563,398,466,594,834,154,184,666,541,575,
314,946,174,653,032,658,114,285,995,801,012,564,063,231,406,984,202,333,438,
110,078,391,192,217,771,951,961,419,234,703,332,516,776,019,909,982,127,635,
361,081,941,312,883,367,505,866,483,275,025,013,727,757,039,917,596,654,936,
404,669,918,671,680,610,246,622,669,815,024,816,192,250,815,695,462,581,384,
111,847,259,841,021,202,885,559,686,207,952,963,761,353,312,909,293,216,114,
215,484,019,808,068,480,169,421,070,387,253,297,488,781,509,336,564,605,692,
969,552,530,287,498,456,360,957,526,241,152,969,966,102,091,129,695,388,308,
793,394,692,185,300,891,599,293,478,260,739,632,342,551,003,631,092,985,631,
750,973,727,150,604,745,169,317,119,933,402,500,150,430,322,542,233,058,340,
576,436,960,454,155,297,737,648,499,008,556,262,487,382,565,158,473,392,979,
310,844,644,339,330,393,653,763,038,271,812,725,677,262,341,694,908,573,147,
506,277,541,410,038,053,106,749,483,570,965,666,286,450,144,424,434,021,581,
621,916,082,553,648,267,224,013,713,347,487,474,152,053,473,073,881,915,438,
037,229,450,534,456,746,828,222,623,176,490,918,792,736,253,403,117,642,276,
277,988,255,136,872,815,748,175,463,162,183,907,279,760,815,885,146,598,606,
165,151,697,313,878,011,734,362,720,946,560,549,559,506,284,597,392,376,901,
096,692,331,658,083,193,200,505,933,821,269,839,773,651,657,062,325,784,331,
368,118,332,398,636,950,502,313,675,328,360,627,776,558,774,531,694,455,145,
277,746,707,665,865,293,058,308,318,099,013,259,624,521,343,896,063,159,469,
355,056,740,482,448,259,129,943,878,051,018,501,343,546,481,360,972,314,995,
384,867,841,308,040,791,659,189,004,568,252,037,193,799,962,053,163,360,471,
591,590,313,340,177,107,403,804,380,937,210,624,746,914,946,224,031,489,662,
841,282,788,711,207,397,373,351,626,573,376,600,499,852,937,631,612,282,353,
659,262,833,788,443,985,355,196,203,072,757,238,976,196,826,289,519,528,454,
920,330,800,328,119,573,708,503,786,744,360,443,137,465,436,704,304,489,084,
158,024,656,839,655,390,853,211,169,378,159,241,762,658,686,096,870,485,330,
282,840,892,618,207,233,607,967,920,372,534,882,122,407,056,270,307,285,633,
621,179,212,407,759,444,955,205,747,903,496,440,656,662,932,944,330,385,890,
585,569,996,298,278,564,508,122,803,320,821,986,438,265,803,190,493,502,675,
826,202,624,420,796,116,889,824,638,278,730,040,664,097,194,623,239,774,669,
888,495,218,581,716,522,001,469,776,576,064,183,728,974,405,590,647,316,857,
818,348,105,206,921,163,738,167,224,072,843,719,791,818,607,097,349,728,109,
706,266,839,502,468,553,521,423,545,042,139,468,444,355,301,751,543,890,625,
392,878,193,449,779,811,081,509,299,412,858,216,280,369,893,842,305,469,022,
776,240,329,818,189,493,923,740,148,614,731,004,196,476,199,272,989,307,488,
828,762,569,665,225,635,780,331,928,368,958,654,028,336,816,743,660,482,006,
533,123,699,461,869,959,101,178,881,994,044,482,398,907,097,709,427,915,007,
890,404,617,511,329,035,224,512,718,119,476,764,644,718,198,928,165,025,329,
690,321,924,366,976,183,117,450,945,500,236,674,840,802,266,249,558,846,295,
291,649,937,158,593,858,164,544,470,874,675,056,491,879,786,145,515,018,837,
445,741,035,771,613,129,732,353,238,062,295,588,581,243,632,896,490,211,051,
226,347,026,347,224,272,010,532,793,357,311,130,979,317,880,046,655,092,161,
805,610,984,516,746,293,826,315,589,616,811,833,224,717,377,256,483,400,832,
541,490,677,361,582,591,933,162,305,194,377,876,439,903,163,944,934,259,495,
852,845,565,756,838,827,345,550,626,019,567,090,992,487,102,119,630,606,774,
444,006,777,556,129,111,456,711,814,807,733,611,664,887,725,302,386,271,989,
519,503,706,369,049,582,950,999,079,177,792,080,455,744,632,134,109,011,260,
072,245,904,150,759,950,905,735,079,802,538,401,269,379,288,452,161,152,969,
918,528,041,369,780,419,960,240,589,559,402,502,813,221,251,458,614,368,371,
195,693,106,652,152,158,805,597,504,059,499,155,398,242,160,137,211,909,164,
755,108,434,950,013,256,550,035,821,760,524,659,837,968,779,830,007,628,815,
513,395,533,035,803,527,636,218,208,927,390,806,829,505,717,450,959,609,795,
073,793,550,642,712,024,182,280,645,220,093,760,393,683,071,060,296,408,255,
912,724,857,712,740,419,976,191,731,878,646,160,979,313,528,560,473,977,705,
718,006,232,681,481,598,229,599,347,584,801,451,279,783,641,725,728,392,351,
929,792,295,276,266,221,603,151,449,189,466,427,333,850,149,285,690,428,888,
976,039,223,274,887,550,417,241,408,779,801,970,929,329,081,917,504,605,296,
948,807,890,889,508,013,631,483,052,634,737,743,811,873,089,769,767,717,688,
380,365,192,795,087,287,469,473,146,727,961,974,722,190,205,118,077,680,185,
926,574,688,812,749,781,846,526,553,942,285,357,128,783,517,861,638,696,031,
027,673,483,379,013,781,442,508,304,104,854,848,138,494,995,061,764,304,279,
103,528,795,402,306,331,505,431,668,384,681,422,567,689,979,228,211,909,525,
581,228,229,761,885,554,690,046,781,275,690,160,649,681,686,743,450,572,148,
346,498,729,759,757,912,114,836,032,863,624,872,784,126,457,465,284,018,471,
313,490,262,243,259,897,723,017,111,854,920,527,404,921,491,536,887,281,160,
157,470,197,331,229,731,306,237,644,961,220,379,200,659,149,278,138,523,936,
048,329,934,504,170,134,140,316,264,964,854,932,674,432,443,312,979,464,236,
404,238,516,645,898,007,669,956,382,955,479,591,085,521,924,775,458,384,676,
585,509,107,812,097,710,023,336,156,301,370,631,412,445,975,719,040,433,387,
962,368,183,658,364,273,272,162,756,160,737,357,804,781,922,939,885,384,337,
180,681,867,076,161,940,440,169,096,938,227,216,709,432,103,287,428,265,179,
612,227,635,747,375,844,839,579,058,184,054,249,434,149,958,934,910,486,822,
644,084,938,998,668,288,723,161,487,259,229,435,055,535,548,260,297,994,029,
995,179,381,320,741,691,200,731,520,958,632,849,092,957,597,758,139,962,147,
570,290,342,669,899,388,557,522,941,696,245,152,703,669,011,203,356,531,989,
416,169,262,093,624,827,037,062,564,656,381,363,415,817,073,339,984,167,602,
357,924,681,401,035,347,607,698,613,501,416,927,581,208,004,705,821,443,885,
854,473,701,227,171,452,856,243,658,488,708,807,909,805,642,508,703,174,229,
931,492,709,467,099,924,229,847,197,712,134,600,320,341,002,580,296,869,574,
609,478,460,907,425,098,127,490,295,851,493,478,901,373,669,629,914,484,207,
774,972,268,638,369,910,970,694,438,240,883,082,791,063,568,416,947,595,568,
113,416,458,072,774,676,160,249,048,269,878,857,191,615,921,363,776,367,768,
543,255,816,202,639,749,500,571,776,225,996,472,779,169,561,537,589,289,403,
551,851,709,447,872,586,995,825,169,438,989,708,017,904,657,005,454,697,608,
809,851,201,352,635,130,985,719,796,894,496,991,301,142,978,252,057,308,526,
565,677,406,152,247,786,906,502,967,822,191,798,612,589,135,001,346,224,409,
445,135,325,736,300,514,607,630,741,477,528,506,429,806,184,216,993,081,367,
266,918,324,496,561,337,158,110,182,678,887,771,972,122,316,052,574,083,286,
437,159,699,367,090,774,489,574,895,924,795,179,512,231,696,986,838,861,215,
910,831,245,106,147,753,149,921,765,344,815,570,413,759,706,709,456,351,857,
022,547,243,942,156,121,401,626,731,909,743,909,963,561,834,886,408,717,768,
805,371,973,993,623,610,758,857,023,540,823,799,291,804,044,590,008,138,328,
470,655,397,482,287,884,944,557,772,525,488,283,691,819,835,564,166,308,666,
170,248,543,458,829,051,566,171,070,955,397,609,530,072,097,994,859,336,695,
060,992,823,748,633,742,497,889,028,505,243,993,070,187,971,834,096,708,398,
518,289,673,649,544,538,038,508,041,559,993,085,847,892,521,554,138,962,634,
852,082,865,740,914,484,414,582,420,997,074,512,550,383,843,950,079,785,038,
663,015,399,195,666,807,260,216,194,332,962,422,137,760,365,554,182,006,712,
055,503,431,241,916,009,666,515,706,367,002,953,456,305,655,898,743,283,283,
180,168,048,511,851,589,444,278,373,882,302,184,577,356,091,099,769,976,006,
559,076,346,326,775,484,306,558,638,270,257,329,316,140,631,023,050,167,695,
542,262,314,383,338,286,656,713,603,409,333,227,128,492,825,253,985,085,402,
837,461,344,719,738,935,415,686,534,197,852,114,608,416,888,255,185,361,284,
533,629,220,744,085,661,658,295,264,257,587,765,234,315,949,252,518,571,124,
430,974,054,164,233,939,115,029,003,775,812,664,440,398,454,984,518,149,864,
897,645,097,824,527,588,091,124,938,685,362,737,106,073,530,148,792,681,323,
846,851,165,548,770,573,545,241,826,353,011,311,470,726,703,338,496,680,471,
432,898,456,677,581,092,488,687,798,993,681,327,817,448,072,688,823,479,652,
016,272,071,477,074,245,623,683,813,265,319,570,880,935,039,606,528,297,794,
566,416,384,851,995,992,817,287,016,920,859,845,650,242,789,846,984,685,602,
579,390,150,923,439,680,185,135,745,422,705,597,287,822,890,306,629,246,491,
232,232,109,009,469,957,065,558,013,439,451,804,665,661,499,470,618,329,495,
108,146,503,971,583,614,267,516,755,101,987,863,518,900,522,771,740,893,060,
187,568,949,247,919,789,649,445,689,653,867,367,061,216,359,937,516,536,478,
021,821,438,167,989,942,466,581,811,475,476,989,905,599,169,797,542,126,671,
516,973,078,261,897,211,275,277,272,549,238,004,078,384,697,329,313,471,807,
251,664,327,126,133,882,397,177,973,878,426,125,701,787,249,749,626,173,821,
577,564,254,599,080,625,154,518,438,354,558,944,912,324,116,292,619,703,670,
478,353,644,443,344,054,124,606,542,411,410,025,364,332,619,871,658,706,929,
988,045,362,134,325,116,989,384,321,134,724,359,582,275,630,984,490,944,979,
445,857,902,103,826,080,684,496,182,311,758,393,619,773,673,818,837,926,413,
187,573,756,227,437,690,739,210,135,909,611,779,817,571,473,547,643,788,837,
196,589,342,828,650,611,556,330,956,706,507,861,862,378,394,205,222,732,070,
248,735,077,121,457,756,154,776,619,888,117,855,691,464,953,424,578,202,344,
475,665,519,055,993,694,421,369,939,232,560,461,285,632,670,398,070,758,974,
088,200,664,650,583,811,765,392,113,486,301,710,118,475,021,858,783,561,744,
160,765,480,427,657,843,674,900,357,798,669,449,606,773,228,658,566,482,422,
597,021,926,339,617,681,138,032,576,322,478,117,920,468,054,898,625,657,292,
635,976,869,749,503,805,125,436,913,949,353,959,140,903,917,183,266,655,525,
290,562,393,751,069,856,905,172,868,829,140,917,256,743,315,328,914,658,817,
839,293,255,117,665,117,683,643,201,811,340,859,968,555,049,718,752,718,315,
897,346,065,236,622,283,446,345,637,253,029,363,941,668,062,993,563,163,841,
200,315,162,820,249,257,865,633,516,509,043,173,364,746,487,658,094,758,161,
530,990,800,271,540,145,393,503,603,117,825,982,501,094,122,028,682,160,593,
999,991,276,421,992,401,704,313,920,475,465,590,510,278,373,186,263,706,662,
073,102,312,073,315,484,823,516,767,494,733,865,477,823,756,096,005,708,081,
006,829,605,372,068,337,914,989,342,738,864,744,214,324,647,089,544,813,679,
650,982,711,843,078,577,090,000,718,748,873,731,726,444,852,442,571,891,258,
040,667,459,632,096,031,984,534,110,330,302,281,102,368,024,007,135,471,550,
708,132,516,982,053,934,715,938,762,147,510,611,110,950,350,586,051,953,479,
846,844,063,431,725,608,221,408,735,674,540,183,715,155,773,772,023,135,726,
931,378,165,860,737,837,875,599,089,760,113,474,439,773,485,430,444,296,980,
626,147,261,146,659,144,235,799,925,135,147,078,491,381,423,233,464,604,288,
077,659,649,906,866,782,561,016,580,518,501,616,166,130,780,000,172,317,071,
029,799,937,417,558,648,239,990,973,670,431,746,073,901,313,075,804,329,835,
701,511,771,439,369,829,777,234,867,784,503,992,226,840,130,733,386,726,907,
022,105,499,594,329,559,514,948,811,159,359,416,995,697,198,284,990,241,926,
131,414,150,944,579,652,448,427,141,572,229,907,204,194,573,418,759,927,709,
961,708,591,256,379,425,602,981,886,478,745,670,927,744,300,563,688,902,970,
422,564,091,041,546,103,111,175,856,462,349,805,532,366,316,609,769,431,267,
842,520,419,267,050,553,744,360,701,471,347,659,776,195,330,487,163,318,901,
967,034,514,593,547,305,721,463,270,385,835,667,543,750,863,531,374,498,208,
266,847,705,885,138,484,119,256,893,211,280,361,369,159,029,988,469,718,696,
943,261,932,444,905,071,581,999,922,149,166,725,498,821,404,919,477,784,379,
384,039,328,541,919,194,273,130,070,821,508,655,744,285,728,162,649,050,762,
505,798,759,259,435,752,130,578,872,293,959,458,681,695,125,036,234,869,708,
589,604,038,509,878,326,718,460,487,781,180,193,263,600,730,045,956,983,165,
198,691,469,386,060,101,455,061,221,370,280,559,683,995,676,819,381,143,773,
383,491,594,960,000,870,089,543,416,562,735,574,226,702,297,031,103,034,990,
489,958,606,518,215,491,535,968,822,292,304,318,916,119,441,400,111,509,300,
293,805,523,993,616,779,833,712,263,682,099,458,530,398,303,402,637,382,476,
505,276,506,337,565,062,263,296,082,594,264,566,690,394,249,382,938,751,660,
147,419,039,222,504,300,492,063,434,687,760,694,691,764,688,102,254,258,205,
866,199,394,036,283,908,493,263,315,240,917,392,480,722,821,597,837,592,267,
141,841,741,792,187,568,943,179,720,152,042,915,686,467,430,593,366,089,701,
954,342,394,123,726,070,842,531,077,209,775,220,117,820,599,314,507,786,309,
829,191,852,780,273,112,513,054,121,504,793,995,200,253,375,995,456,355,926,
729,000,994,733,695,354,116,064,364,471,315,077,474,318,098,837,536,151,218,
071,528,752,352,346,494,071,462,744,121,820,179,834,443,024,236,451,080,254,
112,917,409,763,239,174,216,597,783,821,911,964,715,888,392,343,904,697,323,
766,806,252,504,106,232,279,884,655,502,966,514,526,457,619,660,010,300,623,
125,906,532,320,161,886,810,816,818,592,332,894,403,892,579,342,821,139,039,
664,431,398,449,391,941,200,022,093,274,753,518,419,818,925,605,565,665,303,
122,408,202,517,430,755,936,970,061,140,947,632,731,263,023,883,094,602,702,
818,874,097,082,684,587,898,024,537,842,414,273,857,658,742,019,323,310,036,
509,410,896,513,238,846,896,288,170,594,713,188,996,163,448,029,930,325,013,
493,742,663,002,497,386,747,226,753,913,854,254,271,166,321,200,690,371,225,
827,893,842,526,500,688,074,601,552,727,373,839,642,429,828,908,762,308,488,
100,296,895,814,809,196,553,674,580,985,154,596,948,002,591,059,711,137,697,
416,994,571,930,267,351,728,351,572,132,523,778,244,540,400,386,009,472,914,
733,242,490,548,984,193,849,716,260,453,459,873,268,609,910,928,808,332,711,
214,978,264,394,673,954,243,649,811,437,043,244,970,961,594,393,451,025,531,
601,736,794,594,057,774,241,350,579,688,771,521,641,930,832,868,186,382,366,
298,451,964,615,844,988,939,530,014,508,896,670,222,701,302,958,571,564,803,
662,503,441,314,849,772,184,961,577,813,515,972,794,875,885,603,841,019,697,
179,488,271,094,214,194,349,147,791,545,796,886,142,298,851,619,529,289,607,
606,898,566,300,178,510,734,168,357,885,798,154,713,912,544,118,659,356,767,
779,896,355,821,773,698,407,796,983,469,892,947,486,538,336,577,481,642,246,
316,113,255,597,350,812,648,930,652,041,727,283,317,472,230,087,989,784,372,
727,572,305,685,983,130,498,277,708,526,866,139,044,992,724,854,823,662,233,
826,335,035,929,451,069,785,254,523,051,628,529,237,729,650,656,936,897,270,
980,309,306,468,448,474,962,306,307,692,663,167,090,152,731,247,627,356,835,
457,272,075,388,211,769,240,504,694,146,470,531,717,634,758,478,342,264,397,
417,004,812,205,235,981,054,271,552,923,553,267,787,519,807,569,835,049,707,
629,253,143,491,622,766,114,448,184,614,912,344,897,660,441,303,107,144,050,
385,314,363,610,720,700,660,510,757,838,736,158,880,588,234,784,708,905,079,
382,962,680,784,677,442,245,909,608,424,761,528,609,639,252,349,177,898,770,
838,188,896,604,362,919,560,833,433,000,790,838,866,559,361,226,028,764,355,
125,900,523,097,995,892,563,993,006,387,849,916,390,530,335,928,625,254,041,
635,825,818,741,997,328,788,086,411,802,758,722,179,755,662,870,766,851,843,
639,881,786,665,029,053,566,905,494,862,128,387,268,967,004,875,846,647,107,
868,773,910,880,947,450,706,315,074,459,351,212,440,423,514,306,282,407,027,
382,867,032,382,004,803,854,522,357,871,626,453,326,389,965,244,899,961,826,
854,962,524,747,567,358,275,860,547,961,827,037,227,441,357,855,645,381,192,
592,122,422,851,358,217,833,591,500,210,052,110,449,186,357,930,611,556,386,
942,036,166,631,895,019,130,063,082,479,901,914,149,681,547,001,437,889,464,
653,356,409,367,579,465,082,141,487,210,505,760,514,772,282,369,028,186,208,
608,833,495,838,889,772,192,278,862,730,931,662,599,471,843,143,342,794,161,
706,013,087,796,165,960,031,656,349,461,743,999,572,762,381,342,973,937,231,
007,855,535,348,506,614,093,656,060,002,893,416,644,872,314,533,923,066,656,
055,990,623,927,049,361,875,588,786,278,820,331,794,308,582,231,088,270,239,
023,019,662,354,964,289,055,562,927,673,135,406,424,249,335,015,586,017,210,
456,685,333,814,993,964,293,327,360,482,516,540,475,660,434,771,349,800,330,
340,593,660,265,784,013,579,456,825,611,731,773,446,112,004,197,359,558,894,
910,436,734,936,859,713,706,422,916,085,008,550,816,056,845,614,411,164,677,
299,926,307,523,661,492,015,815,869,443,797,222,959,723,047,432,206,905,469,
077,716,154,745,067,853,965,140,581,714,817,842,896,905,618,336,885,322,006,
124,696,232,257,118,180,843,062,148,586,943,113,850,479,999,980,933,006,193,
090,224,831,408,115,380,483,546,878,948,288,060,998,833,540,937,927,462,307,
711,939,989,449,171,756,296,593,752,797,642,424,779,227,771,535,250,015,963,
491,313,105,342,360,429,917,763,374,645,325,735,643,453,288,904,895,107,854,
670,074,483,237,658,274,112,717,947,993,127,413,527,164,043,741,669,001,266,
491,532,198,527,290,595,222,586,367,805,429,160,690,495,518,254,833,571,113,
837,856,617,780,114,842,551,178,545,187,159,364,853,835,168,007,210,233,228,
753,077,755,278,273,346,325,777,238,985,752,337,662,450,386,745,103,337,804,
325,905,698,152,632,508,100,111,269,162,323,890,843,450,576,394,730,270,699,
029,011,507,771,106,166,902,401,860,556,241,185,398,841,925,286,946,606,238,
634,119,658,390,811,177,768,101,502,697,838,359,017,627,520,285,393,267,640,
664,186,740,193,967,134,202,084,802,595,072,532,924,657,428,378,166,923,041,
321,986,444,344,291,542,538,333,661,648,820,109,911,977,797,207,270,124,727,
288,647,489,388,747,812,375,970,370,721,114,049,295,625,719,250,156,405,624,
469,365,267,963,959,818,964,648,555,643,312,924,790,698,856,994,384,827,928,
697,511,658,081,841,763,696,451,486,755,610,999,616,574,692,275,127,309,838,
667,710,486,038,217,390,136,402,340,184,072,272,446,478,755,340,920,962,951,
056,298,758,942,464,991,415,948,608,049,603,013,409,541,332,805,056,923,806,
843,393,962,785,230,976,313,204,532,493,656,308,644,674,704,726,539,818,669,
249,677,513,158,991,684,179,990,303,692,381,989,874,967,369,059,912,121,924,
208,157,243,987,564,877,906,169,060,405,841,482,114,518,173,981,217,464,244,
357,424,135,493,247,892,437,511,295,504,411,355,091,690,343,850,720,455,768,
117,183,453,196,047,723,307,041,985,243,608,982,548,444,462,215,382,250,795,
593,651,638,332,049,338,863,409,999,102,998,624,881,934,369,957,316,152,573,
035,068,029,499,830,511,274,445,853,705,089,675,181,899,002,734,033,352,441,
394,668,552,686,750,262,794,694,198,416,925,256,469,915,911,378,528,494,973,
919,915,933,141,675,259,249,994,404,385,045,681,341,944,467,534,017,788,524,
191,608,957,353,056,172,973,328,545,179,085,914,991,609,978,535,873,929,731,
489,905,407,459,808,617,982,407,513,992,867,095,375,196,205,391,876,408,197,
682,570,035,004,694,725,621,610,401,724,118,455,548,622,709,888,343,644,753,
707,159,618,581,012,018,793,334,284,551,952,339,810,825,780,195,432,933,343,
778,946,602,142,682,514,657,609,027,090,229,793,281,780,901,314,199,377,025,
399,951,369,793,545,900,905,289,227,197,693,139,639,939,244,183,252,450,720,
464,208,204,916,316,805,948,937,613,151,462,991,160,373,735,401,162,516,088,
737,795,718,431,988,879,688,543,582,950,642,748,632,767,004,570,355,397,043,
046,004,731,628,201,046,732,139,646,710,509,451,721,702,726,902,929,647,884,
541,090,654,871,125,800,746,749,403,137,985,808,128,311,959,143,109,856,507,
994,918,755,228,996,086,742,089,720,716,888,202,412,698,690,136,066,186,570,
670,315,895,824,766,183,650,854,654,473,535,360,769,077,921,202,411,119,362,
739,551,738,795,882,370,611,963,951,697,755,545,567,611,756,920,115,542,302,
175,356,717,791,658,490,096,438,611,599,894,458,529,025,341,485,728,674,388,
290,434,596,735,322,334,083,368,178,625,624,998,149,086,789,107,018,433,589,
184,937,106,675,926,875,273,823,806,251,091,743,378,147,457,692,616,176,843,
609,410,185,009,665,571,094,055,190,001,890,893,882,622,931,550,299,683,801,
315,686,409,294,487,020,685,565,504,537,325,423,147,573,056,556,521,199,740,
454,984,893,643,899,998,324,381,935,294,841,834,565,843,296,030,207,009,222,
610,874,255,688,149,014,474,027,302,642,470,688,133,348,248,088,062,524,557,
591,166,207,467,039,498,486,649,746,098,749,192,868,993,188,294,163,594,377,
505,831,783,924,296,540,053,867,320,195,512,206,475,271,982,375,998,115,108,
182,339,545,138,267,675,622,592,340,808,659,711,995,619,911,354,572,778,066,
691,159,652,901,210,635,135,873,013,322,917,469,632,534,994,534,432,463,238,
246,586,749,411,104,368,813,486,955,243,973,239,077,554,970,257,676,421,140,
813,579,286,846,703,587,667,818,236,069,835,529,358,176,910,391,244,699,950,
418,734,684,403,441,800,676,203,506,630,631,275,737,930,783,310,816,456,852,
721,607,508,436,355,056,229,631,638,442,748,426,683,800,748,776,795,752,292,
664,103,731,830,189,918,820,536,235,094,862,252,053,558,208,535,364,062,456,
684,830,156,541,284,974,858,486,852,425,168,871,212,016,003,653,975,991,755,
305,503,036,195,294,901,534,936,237,115,681,521,847,896,479,816,491,459,551,
064,234,989,379,258,406,967,915,382,407,829,985,653,812,677,215,562,383,725,
979,578,755,439,689,560,562,416,165,443,807,065,848,612,769,829,068,174,613,
025,322,074,029,461,939,776,744,049,961,110,624,863,175,585,775,548,377,515,
460,393,508,614,462,996,435,872,917,107,622,994,245,123,348,558,446,923,522,
253,950,160,071,203,825,876,952,139,144,832,254,254,667,105,810,027,896,218,
031,432,494,999,978,037,918,868,104,235,781,905,720,711,191,397,308,497,161,
141,083,520,901,432,583,871,265,899,243,447,123,596,007,803,531,362,250,685,
358,488,067,914,774,318,322,555,738,496,223,136,740,870,291,051,197,150,047,
147,739,465,232,001,103,549,655,911,744,252,104,380,101,035,515,398,160,141,
396,330,041,051,509,087,469,966,370,016,946,194,573,019,994,294,253,390,624,
258,559,866,172,427,652,821,422,700,124,743,640,832,265,129,961,477,380,521,
988,106,306,494,106,589,595,319,359,058,732,662,050,744,725,332,604,191,479,
760,287,461,180,283,892,309,962,391,681,504,229,425,421,563,630,174,474,032,
987,247,314,577,702,096,106,931,373,763,541,782,750,790,136,345,060,924,776,
989,509,119,272,810,063,335,879,573,526,543,699,929,141,211,009,953,833,258,
308,062,867,944,902,037,149,876,477,315,991,302,740,365,121,469,316,077,906,
241,693,282,219,348,126,537,030,890,963,334,680,350,753,252,330,083,660,498,
799,051,455,240,399,891,506,600,066,050,946,161,238,242,453,905,388,334,138,
586,797,173,902,353,115,016,081,749,552,008,867,331,010,717,468,390,123,843,
332,341,418,615,080,430,883,224,236,620,277,817,331,530,031,239,409,777,019,
536,586,493,001,573,077,065,332,005,226,297,351,275,406,436,805,048,114,243,
604,337,155,774,768,833,225,646,843,438,100,254,153,418,136,523,112,923,088,
528,351,341,775,138,661,216,686,635,204,447,139,987,342,101,114,775,638,783,
388,076,811,812,448,543,393,148,439,373,798,848,212,220,825,850,943,117,803,
461,800,015,186,309,950,853,575,715,786,793,776,160,392,170,684,703,573,884,
483,864,491,281,115,265,871,864,091,178,412,512,326,083,723,805,287,996,044,
073,374,654,337,561,423,850,662,128,543,964,009,771,201,141,826,551,053,149,
648,284,707,361,359,680,093,487,743,109,531,008,348,075,256,850,291,748,869,
023,623,167,179,574,898,369,671,239,489,952,760,428,220,187,302,170,455,635,
164,490,596,366,004,664,603,849,486,916,985,258,501,295,197,149,330,486,211,
342,021,306,637,430,589,344,577,728,350,069,079,439,819,396,842,903,177,857,
143,475,123,856,791,288,716,895,014,749,262,726,659,719,482,206,760,442,748,
853,844,057,586,950,501,788,370,792,685,904,172,814,030,338,474,603,316,101,
999,071,768,722,744,938,560,501,885,821,198,055,885,568,579,111,645,475,308,
381,367,116,303,286,642,360,600,363,431,698,163,783,400,588,131,949,613,619,
377,273,196,354,514,309,546,034,170,090,827,333,937,242,200,523,734,201,820,
673,249,210,835,513,907,655,153,200,308,991,526,943,240,338,102,304,566,144,
641,735,973,159,213,592,030,389,700,912,069,942,839,420,713,534,559,928,629,
448,994,824,504,550,939,171,524,010,974,651,925,654,117,286,224,449,878,111,
779,152,320,039,293,767,115,900,571,833,461,422,076,862,448,811,174,341,819,
788,311,282,366,936,068,985,685,153,930,339,835,752,148,865,033,126,945,094,
966,825,983,143,187,317,033,396,850,583,345,284,636,125,604,908,133,375,004,
012,398,725,954,095,717,228,116,160,693,570,041,300,059,140,613,575,076,436,
352,360,111,713,801,470,773,504,496,109,727,236,606,616,464,823,324,558,027,
677,613,584,895,595,556,126,701,534,993,792,239,107,552,314,540,082,953,436,
665,082,148,108,428,051,661,869,472,960,335,123,314,367,358,561,181,455,585,
635,770,265,902,443,954,692,240,733,106,006,554,296,193,971,617,776,719,966,
910,147,258,321,652,000,406,944,608,202,543,196,569,105,639,515,962,388,071,
158,809,985,346,414,907,446,811,005,291,916,425,654,978,107,738,708,991,530,
971,888,891,599,884,876,726,724,513,065,647,363,588,255,735,900,434,713,352,
430,728,797,439,953,346,734,440,986,273,707,952,538,187,949,131,961,169,744,
448,548,346,375,678,128,355,478,632,431,384,517,426,414,988,360,123,866,375,
405,199,310,807,063,303,746,503,823,306,869,968,621,646,450,829,079,050,486,
578,779,366,285,354,362,768,546,847,551,909,311,176,649,633,773,568,064,398,
126,311,397,792,069,764,549,507,818,363,934,551,688,951,227,573,372,007,642,
856,384,095,199,641,534,205,997,336,757,184,769,662,582,109,504,691,289,258,
848,720,414,618,390,996,167,175,461,491,146,425,178,846,885,845,012,395,332,
457,043,774,053,839,102,626,977,310,472,320,307,985,341,031,733,401,020,974,
686,967,312,447,679,401,349,891,715,405,271,601,673,961,947,319,835,153,575,
847,670,973,853,054,671,219,906,860,679,996,225,765,448,819,343,167,150,777,
409,677,322,167,515,928,156,449,011,051,088,964,657,401,694,486,503,835,505,
241,569,567,165,497,265,098,531,620,076,999,005,462,373,120,236,515,009,763,
482,926,062,795,682,802,317,051,501,429,283,906,594,129,260,918,669,781,219,
836,156,541,849,692,518,253,045,924,208,133,773,489,119,637,154,554,310,300,
108,675,682,132,165,310,642,823,015,878,761,852,861,434,341,681,455,377,292,
219,526,160,498,452,537,109,248,409,536,889,519,267,092,801,005,542,196,872,
125,465,026,386,213,498,335,870,377,862,810,321,071,324,506,388,498,189,519,
642,042,572,070,701,721,901,775,274,739,959,311,048,128,654,187,946,325,514,
272,388,114,813,036,354,900,953,630,324,914,577,292,758,439,213,476,832,464,
421,696,510,683,825,433,941,734,610,308,201,108,139,795,910,671,588,634,480,
320,318,650,038,753,716,259,648,851,353,425,614,713,555,393,088,409,722,695,
901,952,696,686,122,322,995,383,742,337,220,428,135,677,431,738,821,698,196,
651,288,459,295,662,885,075,798,368,519,545,459,141,086,418,516,674,714,485,
409,322,667,222,437,117,098,959,366,536,470,125,166,190,687,991,996,588,138,
080,946,142,621,930,247,257,922,044,522,465,185,296,824,513,770,138,252,166,
175,036,163,882,042,733,400,636,886,961,439,681,247,320,710,604,682,829,848,
567,194,481,178,380,729,590,298,290,873,701,101,350,644,676,740,721,521,425,
648,374,155,550,780,640,733,193,599,817,356,536,990,421,244,818,212,669,963,
644,892,034,486,627,730,951,601,329,584,962,517,461,621,686,255,480,217,295,
158,063,966,315,876,040,615,519,497,755,912,183,878,147,299,752,073,347,318,
401,233,963,958,130,244,136,302,640,710,389,821,646,288,800,826,490,939,010,
922,291,282,271,962,980,986,884,061,624,157,184,644,373,610,994,559,548,244,
423,009,057,513,007,060,171,650,152,245,618,433,547,940,106,772,617,807,777,
234,376,182,000,844,241,980,605,940,120,454,744,961,107,550,331,720,008,452,
675,604,713,658,671,916,180,316,251,784,557,384,040,656,595,842,100,964,099,
921,019,858,676,153,465,993,242,305,684,974,941,858,444,141,244,749,851,610,
153,715,685,298,069,195,783,242,768,971,865,845,770,101,498,136,924,031,018,
809,830,273,349,621,805,148,377,809,917,901,197,459,335,201,784,813,377,476,
671,677,004,134,901,626,190,856,260,972,584,789,122,515,947,643,380,870,355,
427,437,772,557,512,697,639,180,331,732,792,491,203,884,643,282,679,139,412,
798,630,377,324,931,362,462,416,975,244,064,505,115,527,760,468,520,088,886,
138,513,949,303,577,543,530,780,280,457,780,435,121,229,558,581,150,026,357,
863,289,775,908,379,796,318,623,512,462,218,761,088,789,134,925,274,822,344,
795,718,869,880,165,027,195,551,075,269,047,960,739,627,433,477,614,669,711,
941,003,394,648,266,813,833,760,005,801,944,308,519,725,913,248,107,859,430,
488,322,476,810,874,076,114,176,582,348,748,777,721,273,595,355,983,068,015,
503,286,928,888,002,476,723,763,179,285,683,158,157,065,646,254,687,379,259,
010,142,284,176,963,321,201,215,542,383,512,651,273,868,304,272,735,367,295,
877,252,367,315,632,300,251,437,381,686,668,667,108,986,462,734,157,604,597,
466,999,270,993,360,932,594,444,881,972,471,988,599,929,142,986,956,412,832,
178,111,199,162,358,581,249,176,774,192,461,357,438,247,299,240,384,504,499,
599,342,383,095,346,720,956,669,586,616,121,539,543,245,879,127,513,850,880,
143,178,123,304,985,132,122,047,671,913,977,673,723,245,379,339,095,374,404,
556,060,242,539,703,525,038,833,201,519,738,262,336,874,607,298,985,648,482,
717,972,745,302,984,605,383,507,684,840,196,093,972,658,032,152,775,288,354,
775,832,802,680,467,861,260,497,756,927,238,344,242,985,385,500,556,180,514,
249,921,127,052,594,104,522,719,619,789,592,295,632,269,155,757,163,374,399,
631,172,682,761,571,449,136,751,085,218,385,966,513,809,014,795,045,173,316,
823,987,559,403,235,973,149,280,979,148,336,811,483,184,389,197,656,510,850,
284,341,771,914,334,927,645,217,809,558,264,683,601,253,974,429,008,795,939,
369,684,287,991,805,687,970,231,957,209,547,368,469,285,818,355,010,804,497,
482,229,457,085,990,775,107,083,779,432,370,230,029,989,229,856,391,381,322,
889,679,405,969,501,797,313,974,513,168,632,096,920,098,888,600,345,872,427,
898,859,407,902,775,028,281,534,164,402,468,854,207,348,483,187,052,908,507,
442,746,306,489,173,769,853,989,855,655,943,328,816,777,961,853,672,564,534,
033,799,131,340,235,195,121,154,369,014,916,419,007,837,068,814,500,377,640,
144,482,650,062,057,429,271,415,318,405,316,917,013,552,515,311,381,660,767,
769,580,228,904,686,428,728,751,717,761,277,652,624,233,875,271,613,643,133,
625,371,877,151,797,650,313,304,633,723,676,177,121,395,864,911,877,095,855,
957,272,037,992,717,142,773,456,264,716,365,271,684,868,353,373,055,456,160,
958,914,461,766,840,215,389,809,808,097,762,523,459,877,067,160,027,639,718,
921,235,453,870,583,778,786,160,553,199,775,519,187,124,580,428,082,572,928,
890,242,053,539,083,157,542,906,855,157,886,401,562,177,819,973,996,408,459,
059,808,891,342,926,288,380,585,627,834,867,980,840,252,443,995,569,745,451,
336,457,495,016,170,762,253,388,467,191,222,816,004,330,527,901,454,951,545,
920,196,631,203,033,372,626,604,256,272,024,931,682,998,093,725,843,603,536,
718,488,633,827,071,378,878,048,557,608,044,620,550,104,561,040,184,694,187,
761,215,913,118,541,563,531,942,451,712,284,285,544,988,928,098,489,266,031,
448,176,707,676,739,624,460,454,010,154,434,945,747,060,921,464,400,702,144,
556,290,926,022,205,180,917,100,138,737,713,986,493,152,812,862,822,114,430,
836,717,004,119,746,805,169,635,293,442,351,324,162,092,238,328,031,513,457,
128,356,747,664,251,813,351,019,128,887,217,502,691,476,278,213,707,054,771,
600,801,048,743,182,784,428,892,646,690,448,758,143,785,878,333,325,651,847,
852,938,903,616,554,473,120,053,145,890,890,688,227,450,111,893,159,049,819,
194,017,300,787,447,925,608,443,250,913,491,833,413,707,138,155,766,128,761,
765,181,129,290,200,772,424,366,957,212,810,150,322,245,594,356,562,337,464,
175,621,741,900,574,123,124,999,755,319,987,480,489,073,875,579,776,150,797,
442,739,914,590,911,932,744,084,670,469,664,517,744,814,829,212,610,398,481,
896,508,106,369,275,171,078,201,158,282,923,188,288,056,661,651,211,253,566,
651,150,011,680,140,862,465,416,887,264,756,807,621,912,665,852,087,944,133,
899,367,463,493,338,187,030,134,783,946,756,123,243,162,428,394,166,192,373,
348,971,348,768,699,258,627,443,123,925,432,398,884,331,153,160,641,418,840,
665,957,042,064,370,500,598,762,007,736,226,405,957,144,662,102,832,146,206,
782,178,966,306,665,391,176,252,003,396,504,831,297,469,297,394,800,718,684,
172,034,890,482,598,436,919,995,414,222,934,942,980,471,891,046,643,401,901,
438,496,633,555,358,318,267,488,076,360,472,206,543,269,767,600,139,470,575,
467,462,466,228,257,313,945,005,626,369,660,035,034,992,328,629,365,030,423,
169,477,077,945,157,094,886,849,493,299,534,976,165,707,652,132,115,875,750,
925,756,453,113,514,705,865,732,588,836,486,968,022,094,293,256,101,199,337,
078,999,285,306,346,477,643,891,001,947,941,050,366,043,818,314,615,324,678,
526,552,516,211,584,144,996,503,206,382,976,100,103,190,709,715,960,566,463,
135,542,070,110,766,658,202,830,092,632,662,841,799,573,020,041,845,336,099,
884,232,111,818,917,627,374,983,206,382,151,055,620,336,057,927,030,523,377,
025,866,307,295,573,518,600,520,310,418,356,330,151,244,522,653,806,443,252,
695,660,856,961,365,105,547,911,499,296,624,059,898,966,117,808,832,651,781,
942,505,585,735,267,336,049,624,330,737,586,112,875,847,725,496,287,070,543,
486,809,095,115,176,047,695,634,695,516,035,744,170,158,521,819,785,386,136,
755,754,459,337,964,792,377,394,246,498,242,098,824,422,123,156,981,248,808,
632,824,074,515,280,393,173,713,777,280,868,309,846,077,737,709,802,291,451,
820,592,433,041,037,339,555,889,211,032,864,916,717,241,579,134,558,394,165,
447,106,235,576,234,105,395,351,966,988,301,905,103,233,842,044,040,726,261,
239,343,562,514,343,960,005,473,731,443,363,702,293,610,873,148,878,169,862,
524,214,395,601,532,142,582,714,526,989,542,257,886,998,205,739,216,883,812,
433,227,402,484,695,043,743,459,022,895,041,093,784,345,132,044,944,648,316,
822,259,195,992,747,451,288,313,354,722,143,921,935,613,456,161,148,481,083,
509,896,917,234,804,529,100,798,790,842,463,848,494,795,312,658,377,994,613,
624,459,817,803,698,716,940,137,340,475,155,700,749,863,218,012,783,061,979,
974,943,468,026,831,624,010,895,025,000,800,558,075,180,496,817,912,122,588,
097,938,844,511,599,768,227,723,893,813,900,577,028,170,779,385,398,492,804,
431,601,286,808,436,415,852,704,869,787,438,494,428,897,142,047,561,764,974,
943,801,322,771,616,930,758,426,801,433,535,351,207,440,665,697,784,611,643,
363,784,836,497,280,817,152,916,740,625,565,404,437,465,406,365,980,490,759,
093,568,245,170,770,802,087,832,060,079,942,688,131,379,368,579,748,547,779,
611,337,937,057,560,787,591,194,365,106,567,583,788,750,569,119,243,640,784,
244,257,099,221,722,748,200,440,602,288,423,888,124,764,008,776,374,894,261,
951,539,339,885,671,843,308,181,522,869,041,712,790,454,823,043,748,771,587,
344,857,072,671,769,917,794,488,397,047,559,467,455,526,119,255,220,243,637,
925,911,964,272,872,998,095,106,566,324,482,183,646,672,084,855,118,983,607,
439,074,833,765,380,079,123,222,847,738,736,470,184,690,366,253,172,543,537,
161,721,330,327,648,643,116,404,098,028,881,188,121,693,721,580,378,753,984,
107,196,731,773,973,207,943,803,927,016,676,650,277,041,629,789,721,386,128,
862,655,689,205,268,607,284,733,637,720,203,798,424,394,120,390,227,321,112,
814,529,847,996,450,666,434,486,042,422,622,052,971,736,057,150,153,566,788,
162,847,437,767,626,439,431,597,938,721,768,618,247,488,000,626,711,304,075,
078,911,251,988,664,703,440,348,622,870,889,315,683,115,356,991,273,082,539,
131,351,367,032,328,522,110,445,422,806,133,145,797,737,638,454,384,573,702,
962,234,628,723,376,184,310,782,229,793,785,817,097,789,026,122,350,598,861,
852,328,782,852,299,090,952,080,473,148,029,962,533,318,093,724,133,708,192,
756,028,476,544,477,923,413,198,401,891,722,905,082,410,421,281,503,119,706,
567,022,428,730,100,346,130,984,691,051,572,765,689,721,723,350,068,594,415,
641,536,630,127,291,092,842,359,413,341,210,628,777,467,949,133,205,115,533,
692,384,465,256,687,151,337,264,427,260,422,893,952,783,882,623,570,230,711,
115,861,956,622,398,728,966,138,026,086,961,971,796,333,785,628,326,088,320,
099,104,696,211,518,625,857,612,147,026,858,912,213,445,366,935,928,591,050,
219,515,872,991,871,042,122,547,798,545,837,458,709,335,679,871,895,055,489,
635,216,251,258,628,419,115,144,499,571,579,497,196,434,016,453,262,242,164,
229,333,409,963,137,125,588,458,720,288,705,933,784,533,385,260,264,154,086,
820,350,770,433,401,951,689,797,018,514,061,196,469,793,051,031,282,915,439,
522,495,531,028,534,227,500,066,400,330,189,325,879,754,176,303,675,267,878,
675,446,510,853,984,902,956,138,650,244,733,476,622,661,012,311,724,354,141,
575,713,331,520,897,832,545,992,010,768,712,829,249,018,180,100,581,885,569,
397,883,570,177,438,506,462,998,533,886,191,121,155,366,333,006,869,683,668,
397,319,041,735,744,191,320,515,044,166,085,963,835,119,503,305,141,425,742,
572,153,275,700,926,117,650,477,893,394,453,752,922,854,978,990,512,117,121,
752,464,079,552,192,085,879,876,368,785,121,486,194,384,365,853,088,356,814,
212,934,020,502,476,923,129,616,116,092,176,520,122,010,479,407,390,505,090,
312,176,859,342,882,076,904,002,244,727,049,012,345,798,611,403,382,310,771,
305,716,923,937,393,144,020,257,222,354,500,967,309,368,765,733,944,923,350,
050,159,893,298,697,914,265,646,066,993,058,224,460,303,833,652,568,328,395,
871,648,305,219,164,205,480,524,488,704,477,621,188,565,252,761,059,465,766,
410,264,266,360,138,333,028,982,609,747,120,947,766,413,712,497,200,271,517,
539,533,135,626,354,823,781,256,268,054,759,760,996,275,297,090,911,193,430,
335,346,258,500,691,628,883,263,098,739,440,561,696,710,173,435,103,292,679,
987,997,808,290,161,576,226,686,053,365,512,015,308,104,706,196,746,600,018,
108,137,600,415,493,005,899,636,582,710,259,089,594,087,917,473,021,561,859,
967,214,466,759,674,791,186,956,347,815,080,592,311,847,552,688,760,177,325,
327,712,386,378,259,097,773,407,110,468,030,547,901,518,453,150,030,146,802,
688,453,289,902,860,918,422,227,757,319,111,602,879,023,760,844,970,675,683,
776,866,740,188,208,127,165,158,453,291,034,296,940,667,811,027,191,472,650,
818,188,069,154,928,490,795,423,713,165,813,162,991,842,959,380,938,731,623,
728,304,889,910,518,431,703,624,824,075,957,954,570,051,389,109,951,852,378,
524,263,602,361,313,058,470,271,698,356,957,950,746,970,071,689,641,596,127,
661,770,558,400,446,567,075,913,930,501,427,652,520,360,600,465,254,726,560,
303,865,972,343,090,034,905,663,008,884,012,806,384,142,278,562,208,850,568,
461,522,381,056,541,318,998,776,326,967,752,926,568,413,814,719,874,773,794,
322,083,594,768,176,585,931,875,646,985,932,504,332,063,140,676,348,991,354,
455,601,303,680,180,156,429,261,128,257,281,726,121,904,886,969,182,240,164,
848,763,445,972,205,057,263,464,057,159,981,063,849,160,508,307,509,637,162,
348,111,673,764,096,470,421,004,164,892,207,888,746,582,249,264,376,188,895,
407,828,073,974,681,612,163,028,065,593,888,089,701,894,670,907,414,672,740,
886,326,176,491,431,545,480,191,219,182,278,807,298,935,249,144,021,359,695,
279,568,632,938,840,254,186,416,937,311,614,311,805,715,333,051,552,287,018,
740,462,124,020,828,025,275,491,456,475,002,331,949,975,430,964,724,262,776,
704,275,713,450,805,083,068,953,571,427,075,979,904,120,795,786,375,914,250,
109,799,332,909,368,145,809,228,075,767,376,533,751,145,283,157,363,103,908,
612,040,570,945,068,279,680,600,368,830,464,109,236,618,165,566,257,342,524,
748,259,907,784,303,339,367,250,142,718,369,920,158,742,608,351,101,450,849,
440,403,162,621,761,150,089,262,016,700,908,369,881,632,757,192,537,131,911,
903,287,114,853,251,847,569,449,647,885,533,036,492,336,477,720,524,915,005,
448,369,565,670,554,204,298,827,055,439,158,236,452,557,438,888,922,932,793,
587,736,266,405,449,414,538,525,724,705,286,147,649,430,464,041,368,148,653,
076,960,413,351,986,669,019,010,066,964,414,569,406,068,158,740,935,858,709,
370,419,062,592,901,077,297,080,628,598,781,529,023,985,229,811,070,208,775,
133,954,897,997,601,555,886,505,852,223,542,218,633,825,134,871,761,989,258,
705,505,832,449,376,585,354,740,501,313,869,551,336,413,519,281,023,670,098,
447,221,605,798,790,133,171,018,969,227,765,456,356,382,418,219,847,695,050,
536,933,040,948,994,168,123,647,247,550,119,097,255,688,272,939,334,399,764,
267,364,764,570,618,569,165,011,772,272,661,873,880,226,072,038,567,708,807,
555,970,458,552,969,125,072,036,168,879,090,525,585,672,249,857,602,547,902,
366,994,361,458,361,704,674,623,196,079,403,238,654,154,088,031,297,973,592,
787,782,191,494,135,376,122,045,275,631,818,904,506,057,127,791,439,360,995,
209,888,747,998,483,652,068,131,223,965,407,287,008,143,123,493,688,109,414,
123,577,807,299,560,173,410,088,665,638,060,403,983,339,868,790,539,354,263,
687,214,481,864,394,577,408,428,861,052,455,041,158,979,061,862,498,696,740,
045,455,908,050,686,535,052,818,953,305,736,805,790,635,356,320,692,776,073,
789,437,070,595,388,938,824,908,508,295,927,504,772,778,285,229,717,730,983,
750,047,887,636,999,834,361,847,271,982,984,109,675,682,643,854,215,214,062,
918,321,757,050,066,305,499,585,529,202,131,320,148,305,210,244,175,571,439,
508,807,143,400,612,363,379,433,055,483,229,513,664,258,636,066,205,696,900,
558,674,594,597,401,067,851,026,207,648,743,301,072,557,005,499,730,515,498,
827,755,235,948,078,483,211,307,943,197,386,110,811,453,173,618,433,710,529,
840,900,581,446,172,802,252,070,605,227,338,017,014,990,611,263,927,529,264,
821,455,053,296,167,722,337,045,777,613,454,700,330,775,441,087,787,475,119,
869,888,676,367,202,991,669,047,040,315,141,812,071,864,302,873,290,774,519,
626,570,411,374,814,985,341,527,695,123,119,373,900,621,615,555,959,871,855,
635,616,733,235,833,844,328,927,723,002,755,471,505,099,210,266,131,779,628,
651,452,380,222,152,518,196,563,866,191,618,212,398,575,644,074,761,208,502,
987,848,418,662,665,584,163,624,292,286,278,325,683,556,795,409,607,049,194,
763,377,822,379,207,055,079,111,203,916,389,570,766,642,134,223,995,226,804,
466,801,090,095,722,785,226,355,378,992,184,690,796,056,080,983,198,496,785,
887,717,731,406,453,443,552,625,750,867,967,518,586,063,164,342,797,491,607,
032,789,603,361,711,759,152,016,125,134,587,307,804,967,540,187,106,871,543,
413,773,566,930,885,706,918,393,295,479,492,586,179,907,906,009,100,100,685,
948,130,710,339,166,567,606,774,481,216,425,369,026,072,144,102,706,468,558,
959,494,306,126,794,860,160,413,888,476,261,528,191,676,290,257,307,251,483,
109,930,567,851,638,536,595,318,867,566,729,286,832,569,676,784,708,317,511,
292,947,291,407,992,968,388,966,495,905,271,982,789,518,161,882,828,861,638,
205,481,637,285,755,628,332,852,589,930,012,888,394,665,748,706,232,860,231,
757,827,354,192,694,685,238,753,886,404,981,740,562,910,189,993,838,234,145,
017,147,489,759,071,094,186,750,136,474,815,508,188,894,491,376,655,709,857,
794,474,689,775,295,762,327,262,269,198,732,223,706,103,440,749,017,938,296,
644,523,533,964,926,047,689,329,552,185,142,355,951,059,415,397,234,279,785,
389,603,185,669,324,868,225,955,120,590,367,615,542,307,068,107,710,805,049,
325,838,269,954,823,606,247,467,650,111,209,550,835,770,170,008,906,067,172,
539,115,618,468,957,092,210,601,750,394,320,251,504,725,506,869,553,455,834,
487,640,709,543,574,291,051,259,268,196,466,046,676,208,328,683,182,295,524,
996,302,246,715,195,589,393,240,934,072,471,954,343,614,283,581,718,262,310,
891,655,752,259,764,997,317,389,087,694,365,523,220,074,156,088,913,923,602,
555,737,458,067,401,606,328,267,355,512,598,875,907,528,067,751,878,568,504,
445,892,486,161,347,610,839,253,885,526,027,569,705,037,599,256,032,468,384,
119,357,428,319,817,903,314,053,698,435,212,621,058,671,373,662,020,361,434,
787,614,405,305,905,656,361,028,283,890,801,192,493,757,498,829,600,331,089,
984,433,007,234,164,842,979,089,507,610,555,072,276,456,592,729,850,760,105,
218,401,913,385,161,761,732,784,480,936,618,601,449,044,113,288,099,570,419,
150,637,972,813,468,788,192,987,164,863,868,411,864,628,217,846,116,066,245,
810,823,968,926,726,041,492,531,303,475,890,009,443,100,325,045,464,028,352,
636,103,625,888,378,990,687,926,130,910,596,351,846,555,226,919,700,428,447,
400,678,234,758,543,292,277,502,177,182,851,171,264,541,956,278,030,727,114,
981,700,952,728,530,810,765,727,523,656,387,289,114,259,228,849,399,563,170,
163,651,940,592,474,038,658,140,561,109,654,787,712,341,164,679,854,522,387,
159,643,531,067,808,288,304,068,288,118,044,119,651,776,905,569,827,521,965,
703,631,171,879,086,284,531,678,768,660,115,587,813,021,849,568,452,787,964,
761,550,807,750,217,621,640,522,253,758,903,137,805,353,277,253,548,005,071,
662,323,701,063,138,431,753,090,032,118,039,738,296,251,291,990,506,156,438,
203,771,049,280,128,506,328,810,054,485,540,158,933,563,985,789,156,760,730,
230,388,180,509,709,405,949,355,090,673,486,434,040,755,688,646,798,576,588,
984,828,483,307,063,699,123,017,109,209,781,905,202,147,406,682,666,798,849,
061,940,113,970,710,940,406,305,728,106,651,887,685,867,221,416,779,796,116,
513,536,848,822,370,255,940,503,302,603,727,866,356,642,225,707,710,830,711,
099,406,168,949,830,567,073,567,694,269,200,767,907,593,457,652,052,284,600,
802,536,124,556,297,289,967,868,669,041,434,486,253,674,030,415,204,109,043,
297,531,529,472,804,102,828,414,831,327,514,209,013,938,171,117,724,921,306,
594,913,431,880,690,510,827,604,636,788,279,253,380,673,502,313,885,434,926,
498,065,473,983,875,760,237,881,407,663,316,838,058,703,600,356,012,265,446,
606,712,237,964,141,173,403,548,345,555,845,299,730,749,237,950,939,354,185,
970,551,898,601,107,180,887,845,025,146,437,525,686,368,456,830,783,874,048,
769,573,117,522,618,858,226,695,399,556,100,625,164,281,219,614,391,071,114,
219,878,333,885,780,849,277,899,583,606,146,013,547,773,359,042,898,864,173,
284,402,315,671,741,065,684,638,222,936,579,034,995,326,402,265,443,588,733,
345,101,654,056,963,813,385,757,586,543,857,960,582,911,134,935,824,022,270,
618,219,057,873,654,240,438,178,522,860,994,360,103,950,251,157,816,646,144,
944,451,109,745,502,954,565,685,878,664,599,046,748,681,244,927,328,913,197,
982,391,178,021,210,226,029,629,149,775,048,518,256,600,916,192,531,326,860,
141,469,269,561,888,579,611,275,745,896,118,281,693,713,071,685,068,894,599,
184,306,488,017,775,432,253,564,338,802,471,506,750,913,148,388,154,399,733,
976,259,737,003,372,424,850,125,660,429,847,816,552,027,962,627,461,987,020,
333,186,366,799,995,972,712,073,726,084,863,912,365,401,349,183,898,798,078,
085,591,097,371,557,768,193,138,303,073,390,581,838,321,233,012,264,092,147,
852,044,254,332,731,703,528,335,999,188,489,916,477,070,380,916,766,495,857,
577,041,002,079,584,633,459,814,424,271,446,200,835,116,617,150,529,033,501,
471,520,434,619,263,485,306,653,425,757,655,694,396,315,253,192,073,795,805,
631,442,956,093,866,774,673,830,606,476,140,541,383,020,584,724,316,534,338,
108,186,188,878,548,724,389,025,226,168,851,643,687,109,868,442,718,912,500,
747,428,839,661,874,613,574,252,280,383,416,912,178,030,837,000,389,265,109,
388,371,125,292,958,342,804,130,533,062,732,309,867,986,077,294,964,366,467,
359,606,405,593,470,529,369,138,499,006,004,565,130,471,152,077,585,299,949,
054,512,140,210,413,822,006,611,401,035,157,041,492,765,139,696,074,532,819,
784,237,512,136,339,454,810,621,178,648,278,155,034,533,655,152,951,941,543,
031,967,869,922,963,344,240,468,430,555,205,848,427,193,835,535,882,491,359,
053,829,642,841,171,790,128,208,328,863,428,194,101,502,000,379,056,852,429,
478,590,743,484,668,872,199,647,981,337,071,422,617,678,906,011,296,136,110,
589,692,529,846,798,942,567,553,436,514,071,744,193,608,771,910,911,466,515,
108,812,694,092,939,184,016,743,258,257,537,173,848,373,526,823,417,529,144,
569,455,315,430,782,162,453,448,709,520,425,772,717,700,262,528,781,519,158,
644,801,750,099,607,716,594,192,832,805,616,129,994,006,193,247,555,416,859,
304,072,429,366,224,279,479,419,569,665,407,712,472,687,691,206,180,214,395,
046,032,268,078,825,937,669,205,996,940,389,451,472,910,536,571,631,564,277,
393,130,589,874,422,182,205,829,778,462,599,948,142,917,263,769,940,118,169,
242,478,854,265,924,402,968,930,758,747,746,405,408,852,079,207,224,927,385,
711,175,000,431,396,700,080,978,490,764,627,620,329,918,165,259,352,395,875,
159,331,794,514,974,364,538,158,589,767,182,088,042,438,035,578,421,771,166,
127,790,116,321,375,999,153,824,264,816,670,651,554,194,990,771,778,414,263,
384,250,453,079,863,072,693,877,512,268,272,122,122,789,816,329,910,420,677,
367,035,145,288,147,019,024,960,392,232,861,548,090,685,392,976,214,681,081,
771,623,958,186,687,493,218,622,833,665,353,182,447,122,032,708,435,135,473,
291,459,993,333,444,373,411,956,415,787,932,759,296,088,380,121,803,827,169,
079,109,066,330,861,261,249,078,492,163,640,715,278,951,336,923,496,244,797,
206,587,999,988,163,767,591,866,701,366,342,113,060,617,918,219,261,177,732,
425,431,244,222,462,619,380,423,689,978,352,252,957,698,456,560,604,383,244,
946,910,118,870,613,455,197,897,168,865,155,614,156,222,905,513,743,363,219,
056,751,420,240,351,247,911,546,678,595,801,458,475,341,094,495,436,676,739,
852,426,787,747,448,119,454,308,360,670,204,029,209,966,446,926,945,175,464,
198,246,535,478,665,123,911,270,400,967,808,141,885,491,492,350,598,225,927,
340,185,680,831,901,539,552,845,434,134,169,955,035,734,362,142,903,340,425,
718,144,320,022,990,819,994,541,689,741,663,164,865,503,557,155,698,047,296,
274,191,486,068,114,467,299,228,336,557,717,765,923,565,027,575,623,382,655,
431,555,210,737,068,586,066,698,531,750,504,719,300,692,628,810,839,379,065,
472,224,984,808,640,769,103,950,701,861,818,935,177,336,119,599,242,692,979,
500,742,658,315,360,160,597,732,325,844,170,668,203,271,162,606,943,989,073,
505,073,059,759,673,126,810,744,116,435,666,736,745,580,344,758,152,444,021,
021,210,491,643,981,609,131,116,482,545,592,036,160,301,002,404,785,989,643,
527,245,652,389,661,515,439,829,126,883,184,934,593,332,175,032,055,171,172,
255,110,117,208,963,267,297,582,614,669,837,412,314,421,345,793,602,232,428,
714,140,059,312,956,507,658,038,464,301,724,536,546,414,638,226,902,799,239,
238,074,581,817,258,280,399,706,052,856,965,765,355,243,583,507,621,123,120,
250,606,640,333,607,195,976,129,198,739,763,137,853,745,808,396,999,763,503,
253,166,625,869,924,804,111,616,447,425,564,004,048,829,626,242,498,624,967,
709,042,066,376,541,765,534,701,423,542,345,902,127,050,481,149,133,482,639,
816,425,776,046,653,237,885,128,959,775,720,013,851,532,260,522,085,144,666,
415,541,119,121,289,136,995,768,811,790,932,974,716,410,991,411,952,329,679,
847,755,269,426,327,444,728,717,725,752,609,808,416,008,225,237,445,827,430,
031,020,514,182,915,069,309,229,380,559,151,699,786,476,594,708,373,024,711,
150,718,982,950,801,791,660,574,940,898,293,101,922,145,140,668,404,480,313,
558,723,099,411,694,121,156,065,276,843,973,043,393,839,414,271,547,454,198,
453,738,065,500,758,171,960,531,540,336,263,643,808,488,685,526,739,155,610,
665,023,052,378,489,402,113,997,599,736,375,273,353,863,551,854,263,729,638,
002,395,441,208,649,417,166,440,312,330,672,764,441,797,728,027,695,937,572,
199,368,449,923,293,631,822,222,562,831,320,436,047,790,613,534,611,416,766,
222,243,778,702,670,903,396,038,227,567,190,921,922,218,956,502,146,759,793,
751,228,551,277,042,209,152,821,843,352,300,171,228,792,325,113,650,100,986,
307,226,659,125,397,458,821,386,066,820,867,422,165,689,545,488,895,288,732,
923,950,518,813,425,493,026,091,732,917,726,676,008,300,149,863,187,737,050,
007,318,536,253,139,803,704,149,367,096,116,688,715,435,249,536,086,419,487,
783,687,803,256,989,856,450,010,946,966,673,028,438,681,486,690,204,352,255,
713,877,015,366,173,655,647,841,525,537,476,767,858,697,164,567,247,941,382,
388,804,923,964,668,559,797,537,549,004,795,650,339,276,232,818,114,174,616,
368,221,192,248,716,493,254,262,221,680,526,905,325,205,108,193,071,096,911,
006,741,726,812,602,865,174,767,867,368,176,788,920,263,142,737,731,586,586,
713,399,071,872,038,702,186,190,190,387,078,621,321,574,612,331,969,876,648,
804,963,351,848,943,710,863,828,162,081,777,746,912,818,387,532,801,546,676,
234,316,346,450,040,330,373,395,471,650,528,916,353,015,926,602,126,167,019,
000,049,695,288,064,501,675,274,363,312,516,912,441,328,030,725,951,649,543,
079,135,550,106,302,634,913,308,294,890,493,856,235,461,612,009,805,517,367,
768,559,823,748,230,003,070,900,155,145,699,066,687,608,912,600,382,479,835,
677,126,890,470,009,706,463,741,062,060,860,483,438,925,482,746,837,944,131,
201,525,801,778,953,812,044,615,379,128,533,017,642,700,180,539,284,940,192,
304,503,593,663,307,629,281,819,385,893,182,119,014,157,069,020,095,850,804,
866,559,711,638,076,594,206,952,467,168,445,478,787,489,736,764,764,308,196,
535,429,068,496,995,905,885,307,116,673,012,177,843,691,071,845,014,082,779,
557,364,456,004,252,994,018,965,313,005,590,790,645,209,646,163,300,355,607,
789,315,009,083,428,031,425,063,275,087,355,871,304,269,512,556,313,970,745,
527,746,607,034,233,774,085,873,631,523,919,784,547,201,653,710,764,351,614,
769,322,904,193,479,081,055,673,184,769,122,573,852,914,132,669,929,371,091,
255,816,351,874,948,257,998,769,192,324,438,772,792,627,711,414,235,524,235,
891,061,937,808,003,934,128,505,233,374,919,088,567,946,253,482,132,756,346,
456,230,244,400,558,748,451,021,306,898,905,222,328,142,653,195,693,851,419,
042,229,337,056,261,536,370,910,983,706,955,176,721,428,845,974,344,992,490,
855,738,649,764,607,343,272,592,993,437,208,671,611,386,363,667,924,405,407,
606,205,051,921,761,133,657,066,949,567,839,253,632,935,523,579,686,587,035,
168,771,672,720,684,957,712,906,970,218,984,483,254,226,804,066,873,808,697,
391,622,442,801,177,564,371,986,371,563,553,344,946,384,303,852,825,939,076,
592,787,728,221,457,720,383,767,107,106,635,951,411,942,160,478,533,438,275,
851,723,331,556,949,682,701,709,594,876,956,363,653,729,319,172,558,452,796,
967,402,272,399,485,306,355,735,313,900,255,313,364,789,120,161,950,052,676,
826,105,196,639,059,748,293,501,599,348,084,583,376,761,089,658,677,066,930,
237,927,227,000,154,084,417,091,997,950,692,702,378,979,573,273,091,352,457,
715,136,581,370,139,239,467,392,104,165,581,030,068,172,006,357,252,102,989,
820,081,632,937,044,189,991,624,992,896,367,171,520,142,484,535,014,682,984,
379,198,364,483,161,291,417,325,197,480,392,327,524,904,344,468,376,400,413,
466,899,109,110,296,212,708,720,096,525,825,870,288,921,382,146,066,521,442,
410,132,662,405,981,192,567,412,748,758,819,579,252,930,056,122,790,298,498,
137,598,196,495,008,890,594,422,343,161,304,546,362,364,954,117,894,060,479,
897,248,060,479,925,501,719,713,727,758,949,077,173,208,885,783,633,301,027,
658,600,196,177,132,717,209,950,202,357,801,105,559,322,870,223,095,316,907,
392,854,301,839,414,170,253,239,641,293,489,648,432,034,642,225,949,575,848,
214,412,522,869,777,280,018,094,206,697,094,316,560,472,263,684,023,380,534,
276,791,490,309,719,389,345,585,607,731,865,339,286,130,121,080,327,717,441,
881,078,157,371,373,506,690,745,374,712,765,055,620,054,947,576,363,341,291,
878,375,342,008,526,231,145,186,451,596,082,884,226,616,586,841,604,907,995,
962,304,427,597,162,392,827,334,515,251,976,459,752,700,759,153,211,124,185,
882,850,738,565,860,339,907,336,457,522,515,642,283,526,464,235,858,845,039,
685,273,179,315,802,409,690,078,019,232,820,715,952,462,939,513,970,425,660,
807,299,178,476,852,514,672,669,901,438,833,462,952,257,204,224,112,616,299,
698,689,678,045,622,325,387,313,072,198,965,425,937,384,826,195,591,937,016,
100,460,778,289,928,025,341,886,940,803,050,405,263,835,767,412,756,909,266,
010,818,072,055,525,747,116,206,075,881,496,655,337,109,609,890,311,226,444,
983,415,028,730,965,123,831,119,752,958,701,180,710,185,399,787,435,524,142,
792,401,484,665,634,226,254,314,792,199,036,326,438,704,060,356,172,460,808,
822,766,776,754,669,480,058,596,677,763,635,565,573,394,180,676,493,212,681,
361,840,492,943,238,605,412,447,205,727,552,627,726,683,973,956,050,084,595,
509,989,571,576,492,894,430,456,394,834,796,184,751,235,339,203,201,157,059,
296,761,072,963,966,160,459,651,258,499,761,687,105,104,996,723,909,693,903,
458,752,574,430,692,331,599,347,250,289,736,916,209,606,902,057,482,016,929,
957,644,240,790,602,665,981,995,308,117,519,697,644,817,905,156,569,736,834,
549,369,395,237,132,991,017,429,417,990,977,192,430,919,042,125,336,288,467,
884,769,909,470,987,936,942,637,147,940,873,789,772,454,942,491,528,618,697,
778,581,462,473,694,533,578,348,532,559,088,375,331,224,502,063,488,036,649,
839,159,074,019,073,802,024,334,975,438,737,924,622,436,857,116,062,257,353,
758,248,070,532,175,320,113,510,764,089,119,659,435,666,258,025,421,257,146,
997,237,853,189,051,618,003,277,212,495,504,574,597,728,631,545,308,294,659,
234,979,790,138,064,036,283,201,523,674,308,937,576,233,413,731,665,954,218,
379,276,501,608,151,029,492,500,746,937,868,662,704,510,079,155,430,967,560,
119,509,765,834,819,453,820,548,488,009,502,969,311,784,194,610,431,741,829,
378,505,211,688,338,822,659,589,003,437,021,718,473,761,857,387,365,745,311,
864,498,021,984,578,711,514,345,647,140,320,565,176,979,745,395,637,858,665,
904,512,582,278,905,379,906,307,395,335,162,844,216,327,817,432,743,230,689,
958,822,103,799,021,066,149,167,036,978,713,429,420,631,404,402,750,491,963,
376,930,855,489,813,170,428,877,381,376,724,656,596,191,060,429,185,651,581,
260,894,543,899,246,080,641,074,844,844,354,706,541,974,931,076,106,064,984,
836,590,537,522,232,152,074,351,596,582,115,078,500,952,407,987,861,215,668,
905,379,648,719,913,527,782,348,523,383,687,271,746,765,536,182,782,168,320,
947,550,174,285,468,400,137,424,847,385,690,333,900,238,142,540,689,954,182,
126,463,035,337,918,217,533,943,134,015,309,632,526,673,936,222,386,077,638,
696,005,046,271,319,123,952,431,678,829,712,359,243,161,622,164,498,659,765,
564,460,042,956,589,107,597,779,602,392,521,104,053,991,768,908,601,566,020,
811,831,563,587,747,892,012,725,443,013,271,102,712,649,764,946,797,882,372,
478,720,667,510,803,902,100,795,807,875,721,651,004,009,527,208,393,611,896,
017,397,040,441,860,880,517,205,524,668,285,358,665,472,871,892,899,962,966,
736,062,419,092,734,239,852,254,994,734,891,202,723,700,428,113,985,063,603,
432,329,985,210,130,152,020,889,008,476,128,114,706,952,444,279,324,684,195,
961,839,224,645,665,190,719,060,352,352,471,543,965,245,940,058,684,275,700,
442,920,078,572,035,466,513,599,580,771,162,502,857,112,603,234,341,818,319,
156,230,715,745,455,141,823,011,703,782,601,007,893,300,675,645,347,487,711,
999,034,224,895,044,471,787,230,195,528,890,233,208,292,488,231,459,603,132,
561,873,664,488,693,126,520,232,994,584,423,968,764,355,897,723,739,663,886,
391,285,600,681,086,048,595,816,914,244,137,854,120,117,567,709,270,701,713,
450,816,615,097,829,163,733,441,693,518,833,424,594,238,569,126,398,484,184,
361,349,666,265,624,543,993,512,784,737,944,764,925,049,089,897,746,444,154,
313,650,054,652,716,103,124,624,116,280,906,050,563,081,261,989,243,846,559,
438,825,114,793,263,391,221,490,789,182,538,680,981,269,914,464,400,118,794,
226,879,973,363,578,544,668,029,330,885,254,977,990,824,184,377,675,817,019,
916,371,985,589,376,718,662,267,082,530,793,903,843,252,015,676,830,897,688,
405,374,895,032,006,010,558,483,314,082,319,921,813,484,439,041,823,361,034,
175,020,692,366,483,220,510,103,682,682,931,141,715,852,959,530,907,096,045,
736,708,008,903,246,805,128,204,936,478,943,988,375,720,092,933,272,175,675,
122,663,510,041,172,875,260,436,583,534,725,769,914,247,879,020,908,674,845,
351,075,634,352,367,856,333,306,866,804,378,411,196,059,918,508,156,472,375,
849,146,956,294,797,770,887,217,073,731,297,299,832,767,916,943,050,775,260,
393,932,667,645,930,583,317,927,909,558,262,058,752,939,852,494,968,885,219,
619,826,895,811,490,110,576,530,132,551,830,080,431,556,752,619,580,537,973,
742,695,587,915,364,256,846,248,549,908,039,475,429,148,077,541,868,455,057,
999,827,785,817,625,912,323,369,549,080,794,726,658,982,675,298,141,117,094,
390,408,287,031,888,731,679,923,361,364,453,703,405,977,547,778,916,358,637,
445,612,364,463,082,982,151,238,005,172,368,211,109,939,461,171,006,646,400,
376,523,807,539,804,884,309,392,147,888,889,406,932,347,211,994,172,138,230,
108,383,010,070,578,346,695,048,855,672,734,637,417,757,769,223,902,938,851,
803,617,098,906,613,474,300,061,399,978,537,664,061,492,553,111,972,722,611,
470,425,143,916,128,834,988,260,199,835,253,825,207,285,614,025,345,351,401,
971,079,419,632,588,872,125,099,659,671,430,420,542,940,838,306,470,985,829,
205,093,139,305,365,428,193,300,605,279,816,860,694,104,601,333,101,622,524,
609,998,627,275,822,162,061,287,505,135,630,109,206,290,532,022,314,812,900,
769,331,838,386,920,579,209,318,880,938,309,862,629,222,084,013,855,934,503,
342,377,010,048,955,067,031,831,865,188,117,442,461,883,270,658,338,164,898,
543,516,427,205,229,100,578,918,185,051,607,469,917,328,976,774,653,141,995,
540,843,681,534,222,766,745,876,674,260,140,220,284,783,985,526,180,778,707,
137,305,053,571,734,430,184,526,980,790,288,984,440,237,752,101,218,965,436,
280,797,940,754,492,042,475,261,781,474,506,402,480,828,472,894,045,060,947,
082,787,407,199,766,805,015,606,105,150,615,875,996,169,288,528,589,987,454,
285,436,472,756,470,566,014,824,060,310,739,775,686,906,293,426,156,005,723,
474,522,007,215,497,505,640,370,159,577,571,689,749,410,672,087,501,976,525,
181,448,495,417,820,869,729,742,934,018,579,126,807,744,431,048,918,096,312,
167,051,811,702,351,799,063,433,850,090,014,984,488,478,505,492,185,787,001,
568,010,466,950,111,149,393,336,999,797,109,884,665,963,523,390,918,895,920,
426,111,859,183,106,430,208,388,182,331,099,532,008,032,295,271,938,279,814,
328,203,591,478,792,064,110,636,611,092,712,321,184,468,185,909,226,719,472,
047,027,875,070,551,849,816,033,003,565,600,847,723,053,446,310,871,934,902,
058,416,938,031,352,573,199,600,995,159,988,236,625,953,019,197,715,094,156,
637,394,340,263,746,947,520,872,947,282,674,823,495,108,453,009,682,976,157,
036,258,681,187,533,694,101,008,489,295,236,057,302,341,982,325,225,816,371,
221,513,365,504,675,988,975,439,994,642,665,864,434,454,248,198,049,598,955,
924,606,939,117,074,423,623,571,185,346,500,194,314,578,543,303,642,254,559,
606,956,591,834,093,537,694,799,739,509,956,590,026,407,652,942,390,951,765,
028,151,505,239,129,480,310,303,087,741,455,849,320,888,156,544,294,504,983,
383,020,362,770,064,862,735,778,712,827,367,915,051,646,366,371,830,126,181,
259,829,540,516,313,178,687,685,556,613,844,954,433,122,369,293,784,692,662,
310,424,474,122,017,880,613,184,483,386,473,229,802,931,078,288,413,067,887,
784,637,533,017,104,121,449,165,857,380,740,953,072,742,586,872,601,136,980,
614,103,190,026,167,829,778,049,607,005,304,661,477,672,665,675,679,327,452,
651,807,326,198,376,514,831,105,866,355,465,699,303,981,108,094,946,899,900,
964,739,991,703,456,072,464,964,127,432,467,789,941,375,087,411,697,919,322,
557,083,371,148,377,871,498,764,836,190,257,016,480,752,207,565,818,916,517,
003,014,389,358,516,434,007,953,839,520,302,804,230,079,891,584,191,380,068,
975,428,584,986,317,194,309,382,095,466,455,168,422,492,292,114,921,148,086,
839,239,546,449,879,197,121,944,997,420,382,543,435,932,382,804,998,803,059,
456,671,516,264,912,943,363,767,201,818,972,799,970,962,273,649,262,887,130,
459,705,765,005,175,797,438,679,697,305,441,908,772,807,643,644,771,569,293,
790,123,242,767,941,088,839,924,816,342,687,716,417,584,346,211,643,280,159,
800,402,038,940,998,505,838,022,978,437,279,370,832,603,852,339,570,216,236,
608,619,281,784,069,792,812,479,042,074,935,163,816,475,432,762,243,502,649,
645,876,567,278,764,254,296,661,972,446,650,855,213,430,346,216,482,851,496,
099,179,837,977,559,295,604,826,961,386,662,915,646,971,373,644,613,322,262,
434,150,594,305,861,696,039,900,461,928,057,601,195,109,039,514,285,405,295,
694,035,529,082,706,327,976,146,183,965,720,434,931,137,480,135,676,472,782,
356,260,517,191,388,108,065,755,611,155,436,896,089,247,441,688,512,436,843,
997,615,524,584,657,038,486,725,092,258,423,231,505,308,003,880,350,705,621,
849,098,866,592,063,623,138,430,911,336,777,633,563,709,437,857,596,175,112,
766,909,594,768,114,728,654,278,089,716,798,923,783,116,880,102,691,357,951,
849,099,115,584,960,978,087,844,239,152,270,884,323,710,756,060,506,531,461,
086,912,595,308,334,086,465,344,781,739,539,592,542,636,128,536,276,167,675,
104,958,670,193,479,364,892,725,727,317,388,758,484,749,069,873,674,129,575,
519,112,153,960,026,615,500,724,984,672,765,348,872,729,587,357,953,202,651,
113,334,697,260,962,522,881,636,271,698,669,987,758,035,087,374,854,376,325,
260,213,601,132,377,719,240,529,842,598,116,302,028,766,462,025,903,886,533,
063,970,752,047,582,919,206,448,355,310,311,191,797,942,372,093,884,065,679,
068,640,205,685,808,794,489,117,570,697,895,527,295,858,349,754,807,175,688,
394,656,745,933,925,233,051,367,634,875,138,876,091,516,658,261,524,823,120,
424,219,295,268,815,023,558,111,898,245,303,616,818,637,610,232,013,969,593,
124,303,183,483,338,450,492,934,289,329,280,165,757,215,287,859,620,087,211,
952,577,104,836,235,418,199,742,822,069,438,368,768,199,307,009,306,159,943,
303,949,569,108,761,382,658,723,559,605,730,695,071,498,386,296,168,885,429,
175,334,994,979,619,943,738,555,358,119,032,845,000,742,789,742,814,281,821,
499,967,543,696,232,331,183,611,303,953,819,104,179,793,454,648,781,451,659,
180,922,017,208,309,855,118,112,958,060,254,702,965,497,980,704,260,270,566,
336,518,385,090,656,313,029,697,588,622,229,618,790,030,123,882,227,495,003,
718,377,069,103,810,512,775,940,857,110,932,249,764,392,366,888,629,203,338,
251,625,499,629,029,987,387,549,125,274,902,566,503,962,895,343,245,850,423,
831,443,301,568,838,337,002,538,179,329,260,070,295,620,949,278,003,970,047,
024,975,461,115,022,933,716,404,315,246,189,789,120,959,761,115,185,683,984,
657,302,743,452,322,305,919,851,340,985,034,500,033,430,035,547,178,412,964,
020,756,625,988,648,704,250,825,826,527,565,479,030,289,033,370,258,727,561,
361,906,578,795,576,237,052,813,740,340,251,433,366,397,801,896,403,024,858,
202,454,493,029,646,378,865,517,697,243,756,616,190,093,882,802,062,049,506,
204,094,471,621,387,034,036,282,794,639,575,594,392,719,773,567,182,302,679,
264,157,627,886,286,552,684,956,571,789,991,520,177,864,407,496,468,451,255,
182,967,052,395,046,219,161,102,307,959,745,169,558,866,974,809,666,987,976,
139,110,838,077,906,006,293,483,729,982,364,079,833,595,225,549,419,729,310,
703,990,739,558,849,874,685,053,654,763,624,110,902,117,590,113,745,799,929,
266,245,481,276,486,402,715,892,660,123,058,327,446,361,577,080,167,251,076,
335,724,992,141,672,766,381,225,890,290,786,202,878,416,812,252,861,642,881,
923,042,340,766,557,474,029,996,468,861,741,287,767,179,424,551,419,940,626,
914,616,628,343,388,419,152,669,031,570,743,434,691,697,257,182,361,071,239,
196,737,735,934,936,128,784,652,394,327,808,648,992,029,666,690,883,123,929,
088,293,986,235,281,153,746,788,239,158,152,854,767,730,493,681,503,771,721,
440,821,174,252,585,213,130,359,097,750,900,516,564,441,351,507,806,876,388,
955,881,174,186,788,639,138,848,897,022,003,033,811,829,901,340,495,800,107,
696,907,435,826,893,949,317,281,548,516,510,278,137,327,188,565,904,338,600,
692,011,697,885,241,715,967,888,777,118,526,584,333,966,537,929,047,708,107,
845,153,076,216,526,964,944,758,966,328,976,880,010,634,821,194,198,590,062,
782,122,253,715,027,295,810,463,399,967,174,983,384,199,810,883,386,675,557,
780,499,645,512,331,526,128,698,214,923,726,482,033,092,292,086,440,784,217,
012,492,745,925,843,354,849,541,932,749,945,344,483,080,777,780,944,024,353,
537,665,830,631,505,938,188,823,239,237,604,928,297,790,917,653,914,302,091,
091,976,142,364,139,002,815,271,360,943,563,185,799,285,975,675,174,765,807,
365,330,990,693,427,461,090,241,018,402,250,915,790,524,542,417,132,736,635,
694,379,687,813,894,226,604,334,132,479,292,501,232,194,547,152,551,955,243,
365,702,451,566,443,760,731,295,213,360,387,545,641,552,580,332,069,721,317,
924,245,417,870,312,385,669,262,382,473,903,028,182,249,912,736,860,229,333,
559,684,301,701,315,465,224,659,712,689,164,400,369,985,463,661,544,056,398,
057,493,020,682,274,461,921,917,409,777,690,308,682,871,321,320,411,076,550,
816,072,007,763,766,066,140,291,320,788,551,273,435,420,571,339,209,064,269,
697,979,098,971,548,099,416,037,560,361,590,913,173,638,693,736,259,391,017,
775,299,252,779,944,623,598,619,613,817,823,714,984,233,210,389,114,091,849,
060,495,747,857,528,474,582,642,086,337,618,369,672,868,106,343,479,437,821,
863,402,576,587,850,399,846,943,692,404,478,790,902,796,978,074,826,013,060,
989,527,154,651,131,461,127,136,569,212,964,257,886,967,904,123,233,181,331,
226,257,201,238,890,134,207,386,549,595,710,559,497,517,483,410,091,555,468,
864,811,600,903,531,242,135,323,199,598,091,816,643,951,277,570,168,187,815,
146,636,597,448,459,860,566,331,707,835,124,079,759,714,202,067,255,589,636,
949,658,077,985,256,736,356,053,952,044,165,836,024,228,034,203,584,742,618,
895,290,500,776,952,603,027,949,764,087,035,398,700,787,786,743,331,205,306,
118,091,492,131,647,771,319,617,090,132,103,402,250,350,204,583,243,211,408,
846,325,756,547,141,417,254,087,314,913,935,318,938,933,109,677,111,177,179,
948,763,583,276,472,401,517,702,084,515,362,567,147,719,512,129,458,988,342,
475,151,149,461,304,613,450,828,450,052,473,861,001,017,556,387,005,108,567,
061,677,936,836,812,750,104,049,174,546,670,667,689,238,461,961,817,770,443,
890,169,950,916,204,244,975,541,466,508,170,183,908,715,792,088,505,469,768,
963,837,460,848,524,663,203,492,061,143,825,476,103,957,975,097,167,256,371,
135,930,862,158,992,011,253,918,748,520,075,913,451,869,304,570,735,437,082,
549,974,334,822,464,918,775,588,435,893,628,908,600,720,220,727,833,221,180,
096,399,298,593,936,626,168,643,231,014,947,025,307,283,645,172,226,118,242,
726,746,654,110,479,747,623,641,922,969,528,275,663,731,390,372,022,095,162,
535,445,083,958,841,185,160,456,379,567,933,943,725,145,385,599,030,013,406,
642,838,390,104,397,423,138,477,145,412,875,438,262,356,479,917,678,683,466,
902,424,380,431,133,135,981,414,688,600,065,636,201,638,818,153,735,247,490,
342,618,485,929,877,780,765,739,795,747,334,381,482,281,696,721,010,327,561,
083,918,112,235,924,922,928,962,699,537,478,371,374,979,643,134,369,078,399,
757,832,042,393,407,265,829,488,790,891,982,134,507,242,402,198,474,339,192,
280,636,903,715,278,394,750,513,190,366,655,964,232,373,544,197,102,103,924,
941,547,898,814,646,616,990,615,966,921,470,517,504,131,191,871,154,579,175,
247,915,570,028,727,330,634,876,552,813,027,644,037,547,908,575,879,450,574,
483,674,587,644,983,434,899,750,633,335,456,355,396,377,652,748,680,620,087,
987,954,990,439,374,451,444,729,556,289,457,521,340,237,281,757,978,075,454,
851,640,338,985,697,917,204,242,651,029,731,091,465,137,258,825,354,117,208,
065,464,737,593,257,141,559,571,074,200,832,042,089,700,134,097,856,389,350,
193,771,347,316,157,774,655,718,795,182,968,298,951,239,479,988,276,485,580,
212,760,374,944,369,698,903,535,956,550,050,235,043,491,091,008,013,819,048,
872,352,691,513,454,964,457,705,321,443,627,229,407,734,082,287,000,463,912,
824,694,462,058,982,560,068,426,697,814,557,808,733,883,874,001,420,757,263,
179,000,726,861,326,955,890,049,374,429,508,857,823,776,829,208,249,320,858,
344,658,297,942,848,047,640,049,901,262,794,388,371,274,130,870,640,001,034,
063,889,575,082,161,186,014,172,940,027,261,387,478,822,407,336,071,329,925,
239,150,930,216,349,329,992,025,479,536,322,033,281,015,279,561,870,977,441,
946,570,034,211,872,466,531,261,397,413,078,010,504,175,122,570,868,278,191,
156,544,326,985,737,674,151,492,737,654,861,517,743,804,574,848,090,468,039,
865,230,658,386,657,528,834,591,631,464,598,788,052,936,537,470,434,848,749,
658,019,162,474,682,007,776,810,927,738,740,695,545,351,842,747,595,298,608,
907,254,540,194,022,443,180,166,459,681,019,018,457,907,496,195,437,665,415,
000,341,904,262,263,734,513,306,651,736,717,703,482,726,806,810,917,075,522,
412,584,972,178,220,122,262,254,687,190,463,889,073,403,958,117,931,185,064,
895,062,619,446,842,188,506,279,905,630,124,808,569,729,344,331,299,837,333,
833,576,889,951,856,182,481,633,988,673,837,294,566,467,027,018,637,436,764,
041,435,628,239,820,974,312,012,248,683,495,361,802,177,614,341,046,426,961,
774,854,422,122,633,233,342,568,556,659,061,389,629,081,904,768,243,484,822,
002,681,229,528,668,734,823,449,904,883,670,975,111,580,129,931,386,705,674,
006,749,565,680,144,044,066,567,756,504,429,415,497,342,306,752,878,442,891,
588,015,930,858,864,776,615,325,625,495,973,091,077,991,456,486,463,326,385,
731,867,458,224,007,237,131,938,957,212,619,986,701,795,285,717,540,975,202,
712,059,103,726,478,674,370,015,242,610,717,029,082,479,263,106,829,517,421,
557,168,256,225,497,499,486,803,231,365,656,275,304,071,452,711,035,175,920,
660,388,179,646,448,231,484,390,299,312,871,105,718,422,770,569,690,864,277,
115,544,151,833,028,712,251,040,729,895,997,399,651,216,968,541,495,251,298,
582,455,084,466,424,803,102,161,674,810,954,817,392,306,525,688,700,845,073,
344,076,115,177,126,561,143,902,515,193,355,912,975,639,336,513,832,425,218,
618,768,502,375,529,075,051,325,743,033,566,832,300,332,071,688,112,000,756,
682,250,184,743,553,188,023,843,241,114,088,335,450,935,437,937,945,546,466,
647,074,496,178,813,130,592,475,736,335,699,132,247,804,309,117,507,898,866,
553,744,301,094,090,976,721,611,086,873,183,716,019,089,673,579,331,051,075,
254,499,995,471,081,297,383,281,181,297,513,621,237,596,614,709,209,702,827,
801,998,199,650,041,836,837,053,919,811,787,577,511,785,162,022,710,852,466,
702,317,734,763,248,888,606,393,297,135,572,714,177,404,281,644,340,149,218,
276,627,107,606,077,938,330,981,210,357,855,788,837,122,417,116,101,823,917,
009,608,820,350,789,157,099,663,738,976,465,089,705,747,915,281,529,451,808,
836,309,669,659,311,703,495,150,883,808,496,519,252,041,690,886,727,445,196,
826,093,768,447,828,903,104,943,512,632,817,143,899,077,009,114,735,671,124,
713,774,397,685,415,101,167,422,876,507,343,959,305,828,392,045,389,523,072,
177,654,736,754,046,404,938,558,925,308,285,581,651,370,389,783,695,773,599,
220,335,134,303,570,409,312,010,135,958,634,035,440,734,515,676,824,097,701,
386,445,043,923,426,682,283,417,450,489,377,867,254,932,881,341,489,002,905,
872,498,883,325,429,705,584,066,072,239,968,595,794,055,979,436,450,830,048,
389,307,970,730,392,912,564,414,617,479,663,198,585,470,534,268,880,432,760,
377,643,848,889,678,532,534,002,469,778,442,508,810,846,435,554,347,117,772,
557,813,324,035,644,433,857,154,838,438,357,458,376,210,985,723,911,456,670,
912,615,592,993,601,466,009,126,085,774,651,743,398,227,084,516,384,320,337,
722,867,235,776,908,094,236,896,445,778,737,692,137,519,708,871,430,278,902,
277,926,159,378,663,549,683,693,989,413,912,521,444,944,619,210,518,764,698,
484,253,594,973,865,923,351,925,270,830,651,004,627,806,228,065,681,943,760,
851,292,908,502,419,842,669,513,900,039,177,253,103,700,196,551,995,224,387,
488,964,926,911,632,591,372,600,791,778,667,626,346,697,420,265,727,756,589,
585,798,986,715,502,516,776,087,620,484,742,208,949,129,644,300,893,560,417,
330,743,236,927,148,501,915,159,685,902,505,594,293,236,464,992,792,513,207,
618,745,965,724,125,454,600,300,536,084,868,150,743,353,889,485,108,394,540,
823,729,544,240,898,213,818,024,514,846,050,443,118,369,525,671,312,740,380,
282,198,217,610,340,010,545,275,943,821,107,969,724,593,559,596,752,901,704,
778,231,767,276,402,296,133,066,152,835,491,139,297,481,976,571,052,347,955,
195,877,939,178,526,507,251,168,542,529,761,035,222,643,602,054,405,378,431,
429,609,897,434,170,583,400,366,960,598,914,336,169,345,201,090,610,494,871,
937,303,965,833,327,924,396,050,023,854,441,641,234,599,309,017,633,911,202,
787,420,943,007,242,230,765,817,437,735,896,662,345,772,060,842,534,643,388,
882,544,078,047,222,965,950,763,339,043,479,912,293,537,725,221,446,878,336,
169,157,036,256,658,874,689,247,585,941,894,523,055,971,000,875,164,501,441,
865,073,294,855,383,422,381,479,453,380,578,526,532,197,912,926,957,141,495,
514,419,305,311,190,266,041,224,161,915,365,882,831,441,943,899,579,133,911,
996,353,711,929,558,284,551,941,597,538,326,214,998,581,857,315,811,451,520,
657,984,665,391,345,373,171,571,147,440,880,713,625,886,237,137,746,921,036,
961,840,404,256,011,934,515,621,653,708,820,252,958,565,599,017,411,608,374,
736,546,677,068,190,737,255,189,309,787,254,459,214,431,386,725,188,495,899,
907,273,583,505,216,465,925,755,769,295,642,090,552,799,359,800,863,466,611,
634,728,886,983,738,485,356,544,250,060,495,964,520,511,260,643,078,022,239,
469,853,667,132,483,355,188,399,282,571,194,492,987,516,306,534,408,182,055,
283,302,669,700,464,515,438,917,760,434,615,934,117,062,702,290,836,544,361,
512,750,257,728,606,630,490,293,251,083,915,429,430,614,371,587,820,800,083,
328,873,755,853,268,081,025,451,779,344,542,784,052,912,788,963,911,931,867,
292,229,135,792,408,547,804,789,225,646,816,846,628,209,374,262,894,615,506,
227,225,432,646,368,469,203,777,022,566,797,944,100,411,669,927,377,407,165,
621,510,529,669,206,758,019,052,844,567,967,875,784,867,191,623,035,707,312,
795,770,978,970,778,561,731,289,903,947,456,307,002,228,897,201,655,870,879,
569,778,933,154,595,962,777,916,073,914,895,753,291,492,892,724,099,065,237,
860,703,034,261,757,739,811,421,678,891,831,344,298,623,386,936,728,482,562,
784,150,079,451,033,863,081,367,695,232,771,469,728,637,684,262,784,101,386,
028,895,745,898,510,198,896,061,501,517,028,989,975,176,985,496,047,418,948,
998,461,760,656,245,944,274,209,329,006,539,024,895,045,979,996,869,844,374,
456,569,908,087,776,418,875,241,997,134,700,276,233,847,215,902,844,500,745,
056,415,826,094,074,889,227,819,195,163,476,152,707,467,525,745,048,033,081,
713,914,352,446,783,885,633,773,304,100,808,285,305,008,148,615,350,769,653,
189,951,897,384,996,689,112,321,309,755,254,752,981,900,336,568,734,789,898,
163,602,101,005,911,439,813,933,999,463,313,052,513,483,086,875,239,363,310,
600,199,229,520,325,169,280,310,013,475,295,435,285,908,707,214,234,510,656,
730,286,980,802,182,836,904,339,494,231,577,477,906,319,758,205,835,194,332,
011,464,636,370,738,192,915,104,679,728,818,207,014,576,426,044,378,178,891,
149,356,284,554,686,147,879,032,704,083,614,090,983,236,349,951,592,865,068,
957,200,947,337,877,658,819,638,635,261,323,910,096,864,090,675,664,050,992,
765,202,506,712,573,456,327,779,901,537,762,859,129,347,293,542,221,139,602,
587,481,346,690,690,598,161,622,945,430,301,159,451,293,170,356,114,098,085,
066,736,324,860,539,848,807,302,145,576,009,144,030,403,414,903,198,137,930,
066,120,965,214,887,062,799,065,611,599,792,340,952,393,801,754,672,715,104,
220,344,244,701,488,236,424,679,551,846,630,083,415,153,141,502,230,942,114,
244,850,340,945,890,456,179,991,576,747,160,039,715,790,645,087,974,115,932,
058,541,177,679,424,527,211,409,823,546,601,293,985,842,866,979,964,308,747,
990,017,689,826,178,373,095,311,575,935,448,068,130,996,151,113,692,601,884,
111,486,189,693,653,871,124,748,680,801,915,709,035,253,645,654,145,838,928,
277,678,983,132,388,764,576,102,377,943,061,311,763,402,400,983,586,869,494,
800,924,522,136,650,059,727,986,078,485,753,353,835,956,769,937,420,394,311,
694,671,655,684,591,574,808,963,570,294,428,772,563,993,236,988,899,632,796,
533,255,477,571,889,073,329,682,876,656,677,798,885,498,246,206,586,256,660,
917,958,241,092,983,266,685,775,114,965,140,058,120,132,096,638,964,993,738,
145,378,785,141,906,904,915,766,835,549,965,515,814,876,105,356,103,456,969,
560,909,905,007,767,559,608,659,553,025,084,533,893,776,220,010,096,605,359,
724,239,087,211,649,706,828,994,424,674,027,377,852,989,317,696,035,262,819,
577,378,233,162,968,812,436,152,095,174,746,533,158,808,211,802,309,497,159,
995,601,707,326,933,163,941,304,517,251,279,329,769,191,306,104,840,402,932,
739,019,713,710,160,027,298,147,488,574,576,612,592,840,411,997,444,481,410,
857,698,335,320,976,008,782,531,136,245,727,500,942,558,973,614,851,279,683,
758,105,903,320,875,094,251,309,200,653,806,938,856,022,930,780,369,259,349,
044,115,457,143,540,565,783,812,969,120,862,314,181,094,181,183,481,490,826,
032,307,399,820,463,688,816,053,435,294,948,839,180,010,317,592,907,064,774,
185,311,898,188,042,230,596,262,196,395,446,070,613,661,398,174,025,862,072,
598,377,044,083,090,354,234,857,891,311,412,304,979,293,851,666,864,975,082,
270,540,343,826,827,789,125,771,151,793,878,004,491,285,694,882,810,909,663,
870,500,737,754,502,340,270,725,143,953,950,206,311,821,308,973,886,591,485,
731,678,702,488,583,465,634,256,769,639,342,630,779,238,701,148,076,065,804,
751,418,647,957,607,269,637,967,502,040,994,932,547,945,265,673,718,033,737,
387,394,611,088,947,260,176,626,825,130,360,472,348,431,127,492,484,758,500,
663,291,771,339,951,207,785,429,503,502,151,715,003,216,207,363,121,615,615,
159,025,301,240,485,282,663,330,054,169,227,820,059,243,547,893,896,533,416,
154,477,670,800,810,225,439,201,641,163,623,265,122,435,078,488,253,380,167,
763,320,485,398,375,361,773,701,548,032,064,010,329,249,349,996,926,709,563,
650,557,713,182,203,590,249,543,279,786,356,835,768,890,159,689,613,193,880,
085,865,235,739,085,908,204,466,340,498,025,276,379,312,370,115,251,350,404,
740,355,718,149,194,301,988,300,122,591,954,289,650,754,496,192,885,008,747,
835,871,096,657,697,398,524,569,606,347,644,909,714,798,346,080,215,836,976,
160,064,588,267,520,199,504,442,200,442,500,222,611,232,278,813,925,667,056,
455,039,531,972,279,761,234,922,898,329,087,857,414,955,879,133,839,811,573,
826,821,265,386,727,679,135,919,120,272,046,438,571,669,757,837,710,142,571,
582,233,332,868,203,014,299,694,175,726,094,420,182,788,337,277,965,187,638,
223,560,865,463,451,455,856,583,074,598,419,045,942,728,168,807,200,114,882,
615,612,503,773,467,412,131,882,790,506,032,649,276,063,019,333,963,794,548,
393,294,024,343,788,617,438,245,764,819,798,577,303,926,019,422,557,555,930,
434,900,672,144,579,770,288,481,644,172,286,549,645,587,493,454,324,538,035,
453,595,619,251,257,955,421,495,757,963,889,434,874,412,076,143,993,575,720,
282,594,451,004,305,739,986,506,946,653,965,798,645,653,934,779,201,866,419,
847,897,236,518,089,743,323,583,280,167,866,568,009,614,320,354,324,980,895,
105,435,887,702,473,634,493,659,644,936,099,362,037,351,783,108,794,035,523,
510,947,100,648,555,693,231,446,815,595,295,994,534,669,738,897,008,730,590,
289,928,861,936,947,738,915,471,920,945,814,184,433,643,743,646,319,758,460,
958,604,658,658,887,846,035,298,489,899,684,884,400,417,608,673,108,220,582,
694,773,703,833,279,521,835,426,847,951,513,596,629,230,150,063,652,605,125,
079,593,834,029,805,684,635,977,096,175,430,664,612,795,193,231,444,246,418,
724,167,131,575,581,174,967,715,321,231,941,902,207,068,129,848,255,386,150,
868,745,221,004,091,921,062,994,664,461,085,572,234,460,457,726,481,095,877,
344,893,979,878,447,491,025,908,132,038,038,941,994,771,742,072,464,081,976,
330,082,014,025,420,377,585,560,569,360,645,124,391,809,317,126,205,003,933,
456,221,208,548,871,075,524,768,310,606,195,519,915,706,236,354,879,388,139,
908,828,612,765,665,846,779,639,091,924,914,559,985,342,541,878,236,624,715,
798,643,995,294,635,210,617,280,221,979,549,243,450,602,075,195,553,525,971,
755,489,256,442,442,168,343,781,182,105,544,804,390,425,783,417,784,260,613,
903,503,952,997,645,888,167,221,539,489,124,569,197,558,294,063,951,413,072,
667,681,073,098,823,912,743,641,750,493,545,073,926,922,515,470,294,625,263,
309,073,690,454,994,470,099,307,429,574,495,774,690,962,953,742,387,923,658,
026,822,063,942,999,281,937,560,568,635,325,602,075,551,410,682,968,469,452,
402,732,333,983,338,042,397,457,568,238,764,408,167,343,343,047,068,385,610,
719,778,002,079,951,511,219,882,397,862,779,978,692,383,751,539,996,202,184,
371,374,530,033,430,007,089,888,958,619,107,001,760,251,064,473,110,179,529,
201,784,717,961,504,725,538,646,741,966,978,739,549,738,795,998,125,923,729,
460,913,742,444,220,745,780,600,765,042,881,758,733,156,584,755,847,508,265,
272,150,919,518,503,118,312,138,558,671,576,511,310,892,416,989,190,636,475,
086,763,727,855,367,582,149,061,562,992,258,157,578,744,697,511,999,652,214,
020,410,924,610,715,841,023,510,012,549,199,656,529,596,588,575,509,121,927,
545,327,732,438,247,690,277,654,118,758,475,922,034,373,089,855,010,514,041,
529,146,527,766,501,148,574,076,531,087,958,838,981,430,458,596,789,418,193,
007,354,412,093,481,032,722,650,127,118,891,580,207,885,118,878,251,070,252,
694,033,615,190,590,942,829,502,609,023,752,666,038,647,724,276,383,989,494,
645,016,203,205,226,223,942,027,596,118,310,204,297,860,588,378,597,061,017,
810,197,802,869,457,009,627,917,201,967,955,613,982,194,202,846,101,719,225,
948,204,543,449,243,931,582,353,472,432,754,500,533,958,510,962,479,614,575,
978,663,844,895,177,583,394,263,478,812,201,920,887,677,164,822,668,740,496,
836,496,091,349,996,244,687,718,263,041,298,237,441,128,848,441,003,433,924,
915,868,147,291,667,129,212,650,584,436,575,815,632,609,236,218,907,148,600,
715,010,593,588,533,069,851,279,858,552,001,373,264,571,644,399,314,492,617,
796,442,840,453,889,669,929,739,878,148,555,211,308,395,927,058,377,861,804,
166,366,482,602,158,346,905,413,769,763,407,843,604,720,868,225,209,627,432,
464,509,161,671,648,102,074,445,159,296,416,687,065,224,718,933,527,119,763,
175,397,414,092,813,583,109,729,467,620,653,001,762,573,048,216,216,881,297,
458,944,883,762,504,430,638,195,138,680,143,155,693,707,309,429,559,152,324,
364,188,582,976,484,148,057,305,664,031,998,429,989,930,361,594,569,322,640,
695,005,109,363,774,523,348,838,265,522,904,061,783,225,097,075,685,858,015,
850,689,715,279,520,549,856,296,219,142,917,831,549,283,225,176,831,345,802,
386,408,448,368,148,999,829,139,452,113,870,449,184,852,973,592,218,918,236,
470,585,155,836,656,821,991,534,099,787,013,912,039,590,120,957,992,993,317,
449,437,993,528,410,770,319,952,450,297,674,994,506,474,817,472,163,966,166,
564,943,170,474,097,332,786,400,413,484,714,240,968,969,259,363,470,945,882,
608,586,416,441,659,169,413,122,543,853,066,888,116,018,364,618,348,051,953,
291,382,139,999,163,127,761,556,133,725,034,483,667,171,615,617,889,202,417,
855,380,965,888,807,236,991,521,238,831,826,614,648,792,096,938,850,519,331,
536,890,262,687,074,539,439,927,722,523,580,976,080,877,281,938,248,951,841,
921,583,702,221,748,025,061,450,470,601,168,894,098,088,728,848,317,538,255,
965,298,875,572,229,504,698,654,783,996,908,839,647,322,617,740,620,141,627,
981,605,576,025,726,703,203,035,456,550,483,066,554,028,183,319,714,817,284,
585,660,288,561,905,711,303,128,433,268,083,179,773,620,045,395,833,629,747,
979,578,322,083,734,035,086,332,733,099,192,779,966,999,747,091,585,824,749,
408,414,123,978,419,319,235,340,184,394,573,419,352,382,807,167,739,874,463,
804,887,179,190,440,049,260,678,984,960,214,047,669,421,875,787,771,389,994,
678,573,643,965,524,687,525,431,310,264,698,820,902,496,388,168,954,848,086,
809,680,942,061,582,163,799,346,208,182,742,199,770,531,676,712,090,751,224,
624,350,291,335,166,266,015,714,321,585,192,381,601,691,946,197,008,119,453,
139,191,063,678,806,685,017,325,610,157,849,236,705,114,200,605,549,227,168,
009,726,032,629,613,377,386,600,751,119,089,155,745,864,806,452,539,818,189,
880,032,783,759,176,205,090,027,588,518,861,047,778,314,917,173,488,500,392,
766,108,000,626,465,126,763,894,924,433,624,041,290,271,175,432,293,638,743,
825,195,458,696,353,610,038,939,863,149,192,513,234,477,747,220,226,840,754,
405,093,039,655,143,580,949,365,820,315,027,051,750,296,597,937,308,927,872,
964,279,576,378,717,741,002,844,209,931,538,497,302,090,990,687,050,504,737,
136,473,373,106,688,545,175,366,280,108,428,351,300,568,201,640,988,829,272,
250,880,277,602,375,498,902,857,983,497,622,177,733,525,304,763,284,632,989,
030,166,182,781,825,265,002,398,163,515,106,894,228,991,502,757,443,226,404,
362,128,962,381,845,770,430,389,489,385,348,621,079,114,144,867,023,048,706,
010,610,745,742,653,701,794,915,722,963,304,002,911,275,083,939,505,198,542,
688,627,437,891,954,202,739,827,878,834,042,664,554,917,413,911,224,707,952,
324,587,702,667,801,612,448,837,419,999,420,382,658,551,368,835,188,355,899,
815,533,480,426,560,837,039,590,462,110,157,259,727,032,095,881,519,630,803,
383,750,835,258,143,645,248,475,362,946,380,963,209,833,318,871,411,845,634,
700,904,349,210,953,929,793,493,786,834,422,880,076,649,389,408,646,480,714,
837,436,442,951,622,506,159,949,119,601,693,887,073,707,126,655,037,092,200,
073,947,722,384,316,176,817,311,282,556,854,428,662,637,779,201,741,045,673,
045,195,490,936,620,981,632,244,484,841,651,403,586,420,065,504,914,689,111,
144,513,932,887,803,820,466,318,694,812,091,921,054,712,149,165,356,120,071,
030,819,289,669,805,014,197,833,898,225,777,745,422,460,896,663,530,920,687,
361,913,801,260,169,182,656,900,557,389,030,036,933,731,544,976,470,547,876,
059,174,396,151,714,073,230,483,106,525,120,629,537,788,916,110,556,768,365,
338,652,468,689,841,814,278,157,699,936,277,330,517,982,548,974,202,274,152,
907,862,012,630,894,347,208,530,515,102,645,855,475,429,241,679,349,364,275,
746,259,490,842,494,271,930,500,755,037,340,058,835,225,062,363,766,992,287,
805,860,214,067,236,850,740,209,177,358,829,213,928,525,165,533,040,964,109,
213,474,039,945,184,568,477,840,497,634,745,771,549,784,414,560,920,194,430,
709,852,411,068,194,545,468,903,370,845,742,910,147,803,054,838,263,528,521,
775,200,800,590,711,602,361,988,677,376,966,152,712,665,674,020,083,217,978,
334,873,954,210,471,099,852,754,794,159,129,847,496,339,002,782,353,415,256,
157,867,641,935,972,323,541,296,153,798,909,348,470,173,947,699,297,778,417,
688,542,946,888,266,242,906,220,462,279,493,394,555,919,302,176,109,540,113,
211,763,016,848,241,324,307,249,834,381,988,114,753,082,045,673,968,359,147,
407,675,809,826,812,276,277,520,735,057,069,741,821,340,041,609,797,295,453,
541,118,267,416,015,555,099,215,931,180,932,961,898,185,996,109,621,491,283,
135,440,652,473,900,634,868,892,335,949,996,438,418,717,370,337,948,651,542,
248,158,087,846,851,473,323,402,377,748,324,808,533,220,300,680,047,511,630,
616,854,349,393,572,953,160,755,629,263,583,971,277,449,080,606,435,291,461,
527,180,399,594,528,542,719,845,872,253,857,889,126,135,596,076,067,799,382,
707,906,170,559,743,896,271,934,397,877,672,898,369,142,153,995,222,437,675,
592,753,722,746,671,507,023,256,593,901,985,838,687,019,681,312,826,423,226,
569,235,139,809,529,558,045,639,816,610,999,768,094,715,736,255,993,144,648,
862,259,235,526,387,649,186,851,785,849,033,735,422,567,328,020,164,055,765,
222,105,006,007,339,053,907,558,266,174,818,759,690,155,755,548,940,375,793,
608,776,863,228,407,629,349,129,326,617,560,484,603,040,311,182,122,690,466,
505,559,545,279,509,482,079,538,293,878,341,441,567,705,904,400,205,917,428,
238,359,513,651,000,140,220,395,234,411,620,944,512,747,034,226,066,793,851,
436,207,997,201,687,836,677,984,048,134,124,751,135,636,336,509,461,048,116,
034,255,434,781,515,793,515,999,293,162,390,730,619,336,287,730,302,661,610,
110,280,618,139,262,745,497,917,187,760,983,802,694,104,575,862,550,754,295,
940,856,457,222,128,993,838,767,612,552,012,519,245,949,935,694,357,009,590,
440,724,843,802,100,945,808,050,268,292,372,198,491,690,186,413,301,501,419,
449,491,021,568,356,473,276,197,190,793,141,380,490,889,314,341,908,452,520,
563,306,508,334,369,122,738,897,809,978,958,552,744,976,718,696,290,545,452,
110,812,499,527,879,992,246,101,556,868,451,619,056,950,822,088,039,405,765,
859,640,686,320,297,310,080,482,916,930,152,712,249,264,988,365,895,687,617,
984,245,618,081,074,133,560,232,683,796,799,165,299,000,660,248,842,050,473,
755,985,303,448,117,454,037,938,462,467,659,749,752,179,001,109,595,350,817,
545,804,559,237,904,660,406,376,244,632,374,091,190,080,561,288,521,396,162,
611,811,172,511,640,435,137,125,742,625,814,907,246,338,165,636,614,479,922,
544,461,182,146,832,683,859,455,099,318,968,482,216,679,705,676,727,438,182,
863,259,264,898,024,406,633,866,379,646,094,558,333,789,825,723,023,868,631,
850,599,819,672,189,807,755,222,886,950,960,156,154,955,283,167,945,002,815,
967,623,108,838,282,231,605,851,765,897,249,987,817,929,906,609,461,771,751,
632,453,961,018,390,204,803,926,846,441,484,359,309,626,964,224,256,441,991,
132,426,814,375,081,086,733,658,462,316,814,554,682,762,742,569,580,571,780,
881,071,883,600,675,212,256,056,034,857,015,703,169,589,451,490,979,147,116,
660,630,335,567,631,264,575,532,537,234,830,167,322,249,453,035,065,943,469,
352,727,205,038,496,876,210,255,248,306,097,593,703,302,895,612,673,032,372,
224,840,919,269,048,080,650,041,986,667,676,029,345,962,834,088,715,430,681,
462,684,403,369,049,505,759,763,485,549,215,646,953,375,913,747,853,067,784,
528,849,777,560,964,414,122,205,663,525,417,256,574,992,661,857,608,307,266,
895,602,220,119,198,436,672,986,382,702,133,003,802,369,383,578,600,725,462,
632,210,525,211,494,702,084,240,250,538,297,717,088,239,770,034,916,352,959,
205,351,643,766,669,824,402,793,296,199,421,500,879,718,794,137,003,634,731,
075,505,919,327,871,794,213,319,964,024,119,754,010,906,931,061,078,160,645,
112,677,746,976,534,597,562,321,482,995,627,423,893,148,776,879,049,591,147,
423,062,355,274,168,757,952,193,072,011,595,274,042,521,479,220,348,296,051,
670,038,505,381,087,163,536,739,340,410,031,912,945,159,378,521,350,490,971,
729,646,417,813,669,251,179,226,868,626,696,984,937,528,977,434,237,926,519,
899,802,819,049,038,556,863,623,207,033,611,252,951,771,886,323,340,804,909,
935,965,667,645,217,967,580,528,850,532,986,814,395,988,298,710,472,983,090,
790,012,027,236,946,742,521,641,263,760,990,379,793,449,752,584,964,231,615,
892,623,898,517,834,569,322,861,321,789,690,652,254,517,247,044,336,141,039,
368,861,855,223,276,842,653,962,182,696,399,557,188,741,252,398,476,018,115,
663,881,731,472,545,048,128,137,813,313,853,904,240,794,618,577,948,863,332,
650,322,505,196,247,940,636,793,080,272,941,279,786,598,934,812,539,975,994,
981,972,229,923,312,989,535,396,516,265,191,454,292,017,821,575,612,017,041,
583,708,018,178,535,918,617,650,125,213,892,458,554,689,957,672,246,007,266,
938,945,877,296,747,716,032,157,140,512,176,213,734,686,355,995,256,975,373,
776,851,480,112,022,655,238,847,954,466,515,175,219,102,427,343,717,636,835,
393,862,447,507,481,666,732,203,340,699,763,848,537,016,882,753,925,577,069,
858,287,261,886,453,794,268,718,865,159,536,689,234,739,236,910,825,615,868,
998,368,049,932,720,145,150,898,232,867,236,497,914,725,064,880,551,044,672,
651,521,263,827,243,690,735,861,915,984,507,909,733,632,249,178,861,238,131,
182,099,471,054,351,902,882,234,759,890,704,131,445,599,876,771,631,826,836,
163,992,911,754,264,538,007,124,836,961,847,716,439,269,780,662,084,372,244,
423,683,595,582,107,157,202,722,628,693,506,533,759,200,502,598,616,592,086,
196,338,297,729,660,019,988,284,779,549,444,861,877,800,844,778,887,163,861,
797,516,073,114,367,838,408,582,961,754,845,732,131,105,573,507,477,367,448,
742,447,495,921,718,305,561,250,347,441,813,699,334,328,420,497,166,028,796,
688,625,150,385,849,945,802,632,929,050,300,464,651,584,267,240,059,322,546,
342,431,365,488,018,566,001,103,689,734,462,591,707,228,685,132,058,503,445,
456,338,417,168,125,916,181,409,195,083,284,933,714,074,405,783,956,461,832,
107,298,632,133,340,509,826,691,226,612,492,627,896,217,194,168,996,568,334,
476,789,255,925,330,091,598,545,066,715,672,154,058,974,716,869,451,838,877,
594,258,622,658,892,793,116,801,063,782,027,974,818,767,745,347,106,534,785,
913,760,847,345,877,071,879,161,017,214,185,821,222,885,471,628,270,555,400,
963,464,695,121,592,239,111,728,921,957,152,606,530,194,599,665,583,850,150,
234,696,176,421,924,031,204,744,177,868,204,835,273,554,490,067,711,204,065,
406,334,627,398,209,603,411,910,589,473,836,773,118,598,355,101,699,794,988,
740,338,661,387,415,875,099,728,678,603,557,353,800,130,848,405,086,578,897,
366,811,802,887,744,110,060,303,423,886,901,139,444,868,738,166,070,279,710,
664,431,825,817,844,332,403,724,901,393,325,617,597,863,820,726,394,086,715,
384,384,077,115,272,599,760,165,470,321,022,068,597,618,740,884,735,922,116,
633,757,946,285,440,411,454,884,596,799,989,244,354,837,675,630,396,567,073,
507,377,332,277,448,355,293,112,396,582,977,233,406,369,681,920,777,618,810,
996,327,889,767,624,282,780,883,777,717,467,436,847,256,204,025,875,885,180,
040,980,491,038,876,467,981,282,923,568,377,939,980,650,941,620,832,557,209,
929,016,919,162,536,472,347,039,369,270,520,890,042,176,750,347,174,399,542,
426,583,994,601,023,969,743,991,163,220,336,798,300,936,438,618,883,753,602,
075,362,974,390,659,418,292,484,175,807,472,967,096,966,460,924,246,625,997,
227,818,697,660,577,616,837,568,824,144,892,243,891,219,645,163,848,877,117,
387,733,863,851,236,997,139,085,747,611,886,169,870,174,719,393,434,236,683,
491,426,431,158,065,223,098,954,893,826,881,019,558,707,025,157,925,725,924,
789,716,634,684,182,070,492,403,910,522,668,416,544,833,111,539,777,344,573,
732,638,016,750,516,408,346,018,598,606,323,308,062,373,123,844,838,264,804,
342,658,797,274,148,050,437,820,148,162,348,463,394,164,601,634,762,587,853,
997,914,397,505,701,672,723,974,460,315,320,202,955,711,777,952,944,004,429,
429,239,103,806,865,874,128,654,889,472,244,473,230,768,773,740,499,431,165,
577,620,401,342,157,869,542,574,776,523,993,176,509,741,644,700,463,750,476,
664,107,744,567,944,883,494,866,611,691,604,099,261,869,275,751,707,068,996,
209,218,132,366,097,258,714,068,247,947,744,877,761,203,818,279,226,484,389,
967,771,922,154,888,941,913,577,664,432,939,352,162,393,579,666,541,023,228,
476,266,502,321,581,572,348,893,844,053,667,564,883,046,054,711,725,880,650,
426,486,380,788,116,372,671,055,380,022,906,678,192,677,388,298,187,508,973,
876,752,225,387,762,462,270,585,215,624,926,228,722,116,134,019,448,947,503,
260,430,608,038,970,483,487,050,410,861,898,743,751,172,672,200,767,086,006,
529,023,988,144,604,063,789,255,553,642,226,982,352,564,681,833,610,280,617,
234,463,673,175,361,777,437,456,397,922,608,443,069,507,603,861,801,412,776,
148,905,461,766,158,815,744,367,188,478,095,725,028,312,530,781,031,866,490,
901,906,635,833,029,189,497,838,004,150,394,852,394,935,151,349,797,123,210,
248,752,559,633,761,878,282,600,583,165,766,366,096,982,065,013,807,714,726,
150,734,336,735,967,689,941,375,111,879,759,862,206,812,827,902,479,487,135,
720,994,558,496,452,189,689,761,027,833,901,669,298,910,829,147,433,813,674,
304,746,500,658,708,233,644,130,698,394,658,983,340,714,553,918,837,518,940,
105,230,008,663,762,757,483,873,386,833,351,686,814,856,892,082,223,821,457,
595,473,524,686,727,015,766,994,534,583,143,531,690,540,726,778,217,108,438,
277,561,983,281,024,073,565,308,713,343,553,564,822,830,848,889,940,569,846,
594,844,727,219,070,152,618,032,451,128,165,857,669,614,181,450,407,295,730,
393,601,298,586,259,786,745,787,374,899,249,006,355,769,037,937,680,475,219,
502,256,090,092,663,700,168,949,501,905,930,516,073,805,537,851,053,391,055,
491,849,929,697,174,464,587,619,319,943,657,568,765,623,167,988,922,740,616,
359,190,516,150,326,494,984,239,680,966,495,417,462,191,835,703,976,393,826,
592,786,077,042,411,486,576,573,984,966,363,727,977,863,894,465,024,893,171,
021,120,040,887,575,050,743,268,488,944,891,169,560,639,858,205,904,151,184,
852,456,510,114,053,963,229,345,877,484,235,946,882,706,375,106,991,604,141,
505,007,171,869,050,192,004,666,004,060,452,302,683,178,048,933,041,202,552,
068,397,269,809,905,156,346,731,820,753,401,261,203,867,160,720,660,466,141,
672,503,208,306,570,048,166,901,129,161,651,464,014,157,335,717,973,222,811,
011,360,532,164,610,075,940,065,514,727,974,902,359,811,872,274,335,264,974,
984,472,542,794,057,504,540,939,236,677,813,881,032,341,908,774,073,889,562,
440,846,377,800,652,378,109,997,780,405,087,306,592,802,162,978,111,439,643,
157,508,550,395,083,051,044,621,995,923,427,992,564,798,921,057,054,008,111,
152,716,823,501,192,842,125,092,001,068,527,552,770,317,608,643,626,641,980,
200,194,113,292,000,419,062,224,641,421,561,098,404,902,706,778,411,330,899,
378,125,856,127,310,800,779,220,300,974,184,216,452,287,259,823,723,198,192,
033,352,850,433,896,502,121,847,786,884,697,002,933,445,392,279,484,945,114,
094,424,863,285,281,493,721,035,130,414,934,005,675,479,835,397,512,729,088,
605,392,995,650,575,989,226,763,317,514,735,578,153,173,157,123,160,368,243,
038,039,026,746,615,823,961,169,615,893,832,045,875,098,228,243,117,090,254,
512,944,720,641,538,673,341,750,464,162,234,219,611,655,489,941,971,653,396,
596,659,133,631,964,775,700,542,001,223,947,935,542,230,559,438,911,629,634,
774,296,744,851,144,756,984,415,223,204,895,421,584,189,976,230,014,706,691,
983,133,902,391,844,566,346,818,317,544,708,209,306,219,689,332,682,868,933,
517,467,909,482,753,815,844,669,992,694,894,225,313,062,582,514,296,483,639,
169,743,791,404,143,811,393,140,075,671,331,610,017,500,910,825,226,977,331,
483,373,059,393,482,528,781,611,731,506,150,555,819,119,714,462,429,461,609,
047,231,421,285,140,336,979,986,385,109,373,952,579,314,840,805,328,145,811,
899,922,627,590,385,129,287,165,538,871,654,952,818,781,234,002,198,300,340,
655,966,300,449,352,741,022,413,736,447,860,088,782,184,388,670,135,954,888,
683,738,013,318,065,501,380,742,092,895,261,624,398,098,294,450,449,454,686,
710,170,242,612,177,305,648,137,961,020,833,490,363,582,328,254,100,798,173,
597,871,406,444,702,683,839,818,755,790,887,307,818,162,786,026,895,346,620,
433,173,195,293,304,227,802,951,186,356,042,262,648,478,403,111,464,819,520,
545,171,454,029,581,861,294,664,358,371,463,494,900,762,354,588,496,316,449,
085,813,711,883,010,245,824,469,495,203,387,256,872,977,274,990,174,943,992,
015,739,568,578,298,133,651,005,334,617,611,504,167,315,468,355,471,310,356,
125,523,716,977,199,184,022,598,327,706,071,364,623,075,753,564,232,025,364,
123,766,136,464,694,689,774,316,624,852,803,040,332,582,973,949,425,646,691,
599,018,885,141,087,971,603,538,558,221,013,074,387,012,779,869,513,539,816,
605,674,746,196,907,628,639,842,763,719,278,590,284,578,639,266,113,023,738,
138,770,401,635,455,058,366,965,156,070,731,504,411,457,038,563,700,035,607,
480,847,066,692,177,867,385,782,915,367,133,711,091,987,296,737,291,110,434,
215,030,520,450,228,257,494,662,817,776,648,531,578,832,897,126,619,778,586,
531,913,913,698,457,805,573,938,032,121,517,378,621,162,294,562,516,126,041,
322,506,873,329,300,219,256,298,220,495,228,011,017,182,959,381,236,191,567,
141,188,798,303,055,632,231,975,776,543,919,581,579,613,333,359,835,611,033,
889,466,234,783,446,141,384,464,415,850,053,371,235,170,717,293,834,162,380,
402,678,314,059,524,987,798,878,973,020,095,672,961,878,709,213,226,172,584,
946,903,390,255,847,915,220,592,509,098,484,669,699,612,523,251,549,980,022,
049,807,071,977,712,359,891,155,718,111,561,810,743,971,715,147,345,256,502,
017,330,716,076,650,794,810,069,236,514,755,675,369,103,341,693,541,321,240,
361,367,870,586,785,534,178,182,730,587,255,001,545,526,938,673,044,341,882,
617,516,201,216,278,630,644,314,092,450,914,940,432,650,593,655,452,477,757,
769,818,918,747,255,450,520,761,295,021,054,174,377,449,468,575,051,629,708,
853,872,340,990,678,981,166,802,389,683,745,990,850,438,779,918,835,882,913,
590,978,847,016,518,005,372,414,124,225,937,533,252,745,334,303,955,238,659,
974,430,999,348,745,684,747,672,992,199,148,388,016,566,160,875,323,640,594,
076,055,428,284,231,897,840,995,371,527,166,599,097,963,785,690,126,395,212,
972,680,077,165,635,875,378,474,428,575,447,697,094,060,199,197,653,840,225,
732,304,837,383,221,243,706,171,076,706,359,821,375,263,959,059,474,355,410,
425,669,075,848,339,328,812,590,887,851,021,263,719,622,475,240,348,939,562,
055,653,130,630,137,525,505,870,161,623,531,862,692,462,598,678,165,218,349,
247,262,422,584,924,754,060,424,745,135,779,537,546,468,167,854,585,086,436,
165,360,312,333,019,246,303,729,769,769,265,786,013,503,403,412,085,016,654,
270,348,998,833,139,247,337,361,364,846,376,061,504,686,892,899,701,571,290,
076,790,609,450,927,259,432,365,175,517,063,881,184,030,269,766,340,389,194,
450,905,788,877,091,407,214,291,439,837,034,307,998,484,612,572,866,547,448,
653,861,213,876,424,404,435,307,966,377,425,614,255,238,095,950,341,520,798,
175,449,088,641,375,617,483,003,485,591,510,551,200,296,707,371,095,917,218,
709,534,124,454,953,308,540,309,290,593,074,475,196,401,022,256,144,509,931,
536,982,534,215,989,884,555,890,487,580,489,377,314,512,081,807,244,259,117,
200,244,265,038,191,552,966,178,002,161,300,748,994,886,767,984,897,091,371,
147,815,891,136,741,558,840,263,618,881,381,149,024,673,841,440,625,637,929,
315,332,430,396,134,427,546,267,040,290,593,875,396,837,104,330,972,410,426,
112,067,261,847,658,104,446,657,634,696,332,759,125,836,440,121,934,113,256,
020,364,638,556,247,666,733,087,756,746,642,661,752,411,888,847,688,899,268,
964,053,618,810,290,220,756,910,138,418,802,938,256,497,715,956,413,580,968,
495,288,504,556,466,763,835,295,402,411,786,357,626,245,176,394,005,820,610,
025,478,889,898,351,066,300,522,143,580,557,814,983,121,537,400,488,440,986,
086,036,657,491,255,356,826,385,146,769,210,675,752,991,993,095,943,441,457,
662,310,019,898,134,528,483,200,195,052,412,018,220,190,188,375,383,366,706,
865,224,221,329,201,732,804,038,587,815,778,191,671,499,753,255,748,777,460,
331,278,011,382,036,218,539,014,555,112,203,013,935,841,840,940,899,395,501,
311,477,873,285,307,708,319,245,478,679,483,735,141,704,285,430,889,213,135,
792,108,387,789,560,484,879,350,845,459,466,795,578,467,383,006,552,679,892,
039,702,315,775,806,860,482,061,167,257,498,197,415,780,369,978,253,685,157,
453,430,220,353,824,007,853,667,246,795,012,744,028,767,608,764,491,599,709,
611,313,375,838,092,228,901,234,123,749,737,587,594,025,125,106,512,990,525,
773,090,614,268,998,600,143,891,811,861,978,536,242,438,270,548,966,539,323,
921,466,233,281,380,437,280,376,482,324,976,221,506,015,434,732,625,040,052,
051,276,559,552,177,436,261,507,316,110,987,956,768,896,838,176,346,481,497,
247,219,651,231,979,631,159,025,912,434,745,999,146,748,398,394,337,694,712,
928,715,573,454,604,313,937,936,140,803,374,603,030,480,588,431,659,217,971,
509,020,392,228,393,794,025,341,205,600,845,846,600,851,098,082,514,073,250,
989,793,016,331,785,410,733,222,351,964,110,297,864,116,921,197,357,139,974,
053,374,624,494,288,803,268,810,241,765,430,658,549,216,450,407,663,415,500,
887,945,280,327,366,565,737,822,406,433,797,410,593,272,922,222,637,300,949,
577,952,447,753,570,291,081,488,670,695,556,251,263,017,800,887,540,561,846,
130,219,750,381,146,466,084,205,071,112,065,280,849,876,670,910,828,106,573,
262,147,373,204,644,914,213,094,143,935,929,041,593,798,367,194,426,194,901,
058,212,327,821,503,689,946,990,427,917,216,236,771,737,353,788,708,723,764,
526,894,381,858,759,902,071,688,949,693,390,774,408,332,960,089,771,819,357,
643,166,416,140,786,125,367,563,345,241,811,242,980,695,685,299,123,171,146,
167,220,259,447,317,677,573,190,539,400,263,879,609,940,574,868,790,241,566,
270,337,226,010,065,914,100,348,682,084,233,104,396,526,287,418,934,757,259,
701,133,144,309,302,959,122,924,950,953,244,215,394,632,331,877,370,319,883,
206,254,354,938,937,007,240,021,651,599,501,638,657,748,840,050,802,959,162,
626,869,585,775,907,162,646,914,177,229,712,407,044,345,921,331,054,051,339,
312,462,469,955,944,872,803,399,469,669,112,320,094,222,603,374,546,980,589,
996,170,095,399,754,945,256,631,646,607,885,021,158,890,228,567,121,518,510,
397,474,623,754,540,335,602,858,454,751,790,611,013,551,242,717,586,105,404,
160,788,046,710,857,138,766,069,210,046,639,870,138,394,496,653,826,340,028,
242,555,546,013,843,029,368,812,215,498,487,317,815,683,812,421,098,781,480,
811,292,223,361,051,031,399,168,065,185,174,997,686,903,919,206,257,410,031,
733,285,699,460,634,931,454,002,294,655,770,222,753,123,860,065,500,207,697,
616,974,132,337,642,068,002,399,637,241,399,691,943,396,476,564,714,950,215,
576,629,721,850,835,908,931,630,977,233,816,040,551,787,131,403,318,192,692,
337,518,398,548,963,825,051,838,424,545,882,762,424,063,899,717,463,634,877,
803,877,760,966,212,719,002,198,853,837,201,295,521,179,767,007,344,842,025,
759,375,744,838,817,990,438,085,747,205,965,136,615,921,548,866,951,392,487,
333,236,806,434,810,680,767,349,089,919,722,825,756,618,923,895,166,455,249,
320,100,063,552,041,617,138,719,694,424,304,061,053,245,293,942,552,427,337,
432,611,013,167,878,168,552,645,333,336,688,257,266,585,109,970,519,911,381,
764,379,879,181,539,415,289,698,810,311,222,173,227,101,163,930,013,203,366,
265,551,198,793,279,624,132,867,545,713,917,090,686,482,670,434,240,144,988,
928,264,849,910,327,336,177,340,667,610,409,829,681,065,876,995,187,692,084,
494,324,759,973,106,500,872,434,784,004,983,845,423,612,508,461,138,960,412,
762,820,829,406,620,689,191,465,201,315,352,049,985,401,182,175,075,747,212,
831,713,175,294,357,015,861,180,302,125,424,978,665,404,756,931,841,450,770,
481,093,015,825,844,271,000,617,752,700,409,560,748,500,111,461,741,195,389,
718,330,298,769,563,486,374,892,682,664,533,991,129,392,901,613,471,430,330,
620,905,129,006,574,577,272,558,013,001,186,417,511,310,618,135,150,188,669,
869,465,204,285,690,331,819,697,498,613,888,833,197,273,798,787,792,370,095,
404,032,436,897,110,079,414,377,778,771,278,738,611,791,485,185,322,817,024,
721,303,978,310,130,161,155,270,222,761,136,390,076,066,106,934,335,094,231,
385,837,906,449,812,606,130,757,818,392,268,435,476,448,137,180,099,244,288,
022,272,785,978,406,407,749,308,469,677,169,226,594,356,633,507,933,702,751,
194,902,987,579,417,120,801,920,566,069,293,388,008,641,695,013,338,242,705,
292,462,493,938,278,445,278,601,771,016,259,117,115,005,711,090,305,490,060,
729,004,862,330,397,246,084,158,593,995,243,622,178,985,575,777,907,124,200,
048,715,638,178,479,946,304,855,859,546,369,019,646,633,359,797,109,319,726,
031,256,040,497,714,133,469,654,855,869,512,419,807,784,897,624,446,683,748,
132,464,998,630,845,620,413,068,339,978,971,690,057,608,776,024,866,854,624,
394,489,706,017,877,158,311,117,200,964,182,968,747,981,246,650,789,879,981,
109,207,921,006,990,474,658,234,442,496,276,966,605,278,304,678,906,462,375,
289,925,681,791,298,991,884,164,583,659,162,611,387,710,045,343,467,265,726,
110,040,437,705,155,471,421,047,231,082,814,569,517,850,949,365,083,104,165,
137,728,977,341,642,770,240,461,291,795,936,559,234,205,532,031,625,122,447,
361,381,128,907,729,011,784,445,393,133,610,135,545,675,006,181,803,530,859,
566,584,232,298,933,063,779,653,505,405,651,426,116,388,324,180,457,834,166,
105,652,320,047,802,898,759,073,656,703,170,258,263,021,637,987,988,776,343,
665,280,560,614,942,466,378,951,007,217,861,658,305,218,198,373,609,234,957,
848,064,463,392,596,979,356,058,384,861,573,639,223,326,226,159,148,429,000,
976,855,529,999,251,031,433,366,019,097,850,480,560,312,029,517,658,515,657,
497,140,652,237,463,845,248,985,380,677,380,124,008,982,680,627,504,535,146,
694,650,951,391,773,042,725,118,657,579,426,983,656,276,120,052,618,720,635,
994,189,494,229,974,821,271,619,519,292,548,879,258,742,834,981,374,574,928,
297,341,408,378,942,725,460,795,551,591,347,855,122,176,764,229,009,404,433,
096,295,129,272,946,263,970,382,767,461,338,238,196,655,296,526,706,655,234,
321,217,976,346,591,408,907,420,145,744,747,790,385,133,717,101,716,439,634,
988,264,151,172,556,549,664,542,658,118,068,536,614,381,586,582,357,638,774,
240,497,439,320,134,449,907,372,012,308,199,368,904,949,526,545,136,226,359,
210,912,702,815,754,792,462,702,693,486,904,207,824,696,184,186,915,099,513,
275,683,967,096,259,004,255,700,337,992,576,935,972,205,870,885,879,071,372,
522,380,226,379,094,892,125,310,733,573,130,860,099,500,942,583,305,506,411,
035,804,811,990,227,511,147,101,932,356,123,257,495,087,052,671,158,644,534,
921,928,626,458,630,413,616,869,730,594,027,902,092,404,621,007,204,884,374,
090,114,920,442,507,842,988,561,404,334,492,277,319,745,038,542,057,095,610,
776,920,548,370,386,808,254,614,434,581,974,915,926,760,850,200,670,508,343,
076,873,966,962,330,877,291,219,939,422,022,401,077,462,753,918,872,776,174,
537,237,151,504,424,633,235,870,559,649,487,584,244,383,098,041,113,566,039,
843,804,429,097,589,673,799,439,049,716,034,736,533,021,813,451,674,024,440,
009,708,777,920,683,297,902,825,704,640,863,844,386,497,458,031,078,914,842,
539,880,405,259,942,812,581,603,522,202,562,338,852,177,456,351,002,160,800,
770,600,272,623,010,162,526,674,653,395,519,352,639,889,576,761,779,067,763,
449,153,074,571,774,602,970,745,463,433,224,640,605,595,206,177,354,743,913,
609,649,711,033,938,141,781,517,477,378,160,659,789,501,206,145,012,931,415,
861,700,580,615,137,901,241,174,820,628,128,050,014,397,244,643,784,182,869,
614,838,948,977,163,100,704,575,348,242,790,669,970,006,656,985,199,534,103,
141,230,347,153,201,270,146,740,285,148,658,425,628,888,092,935,305,909,968,
633,368,453,473,488,685,689,442,410,198,878,716,856,872,776,153,509,765,159,
778,179,009,830,473,136,684,533,221,817,609,185,888,175,178,488,884,160,062,
457,058,083,522,251,209,289,809,203,822,707,840,884,996,976,859,964,662,071,
302,958,661,262,941,941,508,353,902,790,841,401,490,632,879,036,921,691,084,
593,831,596,160,192,999,818,920,944,675,355,126,926,645,657,306,635,725,081,
818,847,218,503,877,982,817,129,853,374,830,216,388,786,812,903,771,231,756,
917,010,161,397,244,223,571,570,943,955,001,932,555,601,684,231,985,484,563,
504,902,059,650,913,386,456,978,862,659,303,317,380,289,046,348,659,034,076,
139,877,330,888,267,553,317,246,070,670,451,689,186,383,916,258,990,584,085,
404,432,685,498,103,128,507,382,368,453,734,877,476,611,068,947,236,891,185,
821,292,090,709,189,241,365,527,567,416,796,785,967,167,919,525,228,041,861,
112,512,664,582,886,709,672,183,483,246,221,849,169,552,174,937,433,322,697,
887,293,455,840,341,780,261,381,089,363,301,493,068,199,550,896,126,761,859,
216,557,909,815,552,880,612,759,384,533,752,469,204,744,878,107,543,813,187,
045,974,713,940,006,447,918,949,888,206,325,825,776,959,282,609,127,612,008,
524,555,988,864,990,625,112,796,540,220,832,415,142,890,115,870,357,066,856,
056,053,526,897,881,581,710,175,724,617,442,372,218,128,499,889,966,851,325,
459,345,029,689,306,982,616,247,510,563,247,142,540,242,941,712,031,330,519,
673,638,755,117,524,857,663,750,001,907,828,905,088,201,243,507,108,599,945,
869,154,353,757,241,220,704,301,325,512,044,700,018,722,861,442,209,523,760,
757,652,147,114,135,696,736,099,654,909,304,795,914,951,314,280,223,616,981,
768,722,385,881,953,849,377,551,682,112,223,321,794,674,190,124,650,393,334,
665,804,436,007,115,679,843,780,687,155,102,883,025,674,654,914,495,075,436,
426,425,813,999,340,359,021,506,448,849,066,106,618,185,046,067,892,164,310,
137,327,764,151,547,158,445,475,842,937,514,659,239,924,898,828,911,497,061,
252,969,627,987,207,581,088,561,344,409,756,639,964,063,295,686,535,881,132,
962,890,964,842,068,553,039,409,004,452,533,783,841,108,893,612,628,073,083,
397,276,976,385,443,741,519,335,144,709,013,875,034,290,987,472,080,051,298,
071,980,700,334,571,626,389,243,459,781,871,000,118,049,622,888,191,457,452,
845,370,564,164,804,061,979,651,468,310,907,282,827,790,858,704,532,506,684,
544,248,421,805,063,751,208,634,419,846,373,896,984,480,258,078,698,680,233,
293,328,005,461,221,449,531,563,919,315,440,411,739,842,744,383,579,613,417,
604,059,760,171,953,139,962,027,612,067,735,186,723,626,168,246,481,734,429,
430,639,031,021,424,060,421,192,506,644,552,566,417,445,173,863,057,982,285,
507,861,761,359,739,405,494,328,841,833,432,953,959,572,078,698,632,950,421,
209,896,064,583,022,678,495,839,176,801,285,889,354,646,913,603,397,925,447,
701,744,624,981,049,317,005,745,491,113,996,458,300,718,759,471,047,958,122,
797,291,406,591,864,885,161,266,246,466,626,232,217,647,334,391,995,589,417,
317,351,198,355,415,260,980,801,699,863,587,934,222,435,668,445,314,758,097,
890,019,941,413,757,631,145,624,233,187,631,842,742,741,744,192,381,015,380,
860,259,219,990,599,089,666,512,871,518,940,459,988,492,837,329,195,927,040,
506,196,600,256,000,887,687,973,223,804,874,599,735,696,864,288,718,821,074,
247,303,397,811,118,632,637,083,883,651,759,132,855,379,309,288,063,241,457,
787,706,325,929,733,617,792,037,858,575,854,682,833,229,787,087,269,096,597,
818,122,617,105,157,463,357,631,977,934,653,191,993,678,660,599,108,312,810,
028,261,323,423,036,303,316,584,388,087,342,308,611,387,631,827,847,033,125,
350,451,682,294,615,184,110,210,382,558,186,548,551,114,060,519,075,245,233,
589,570,270,951,884,502,129,413,430,211,578,575,034,543,212,456,621,611,538,
977,892,932,845,899,739,498,182,386,393,131,405,780,199,639,546,106,658,688,
592,224,205,209,315,257,155,485,753,304,193,825,255,537,006,378,088,207,124,
163,759,547,954,400,481,112,415,251,375,472,421,307,134,012,826,191,588,608,
939,827,704,597,547,121,735,656,920,080,076,958,205,700,613,029,226,064,601,
303,479,631,733,819,127,214,931,595,401,846,494,457,192,438,504,907,294,881,
857,052,726,444,785,178,778,110,180,518,967,361,270,316,468,524,136,136,937,
965,257,385,428,993,069,355,318,799,441,225,936,495,645,392,297,012,279,471,
147,524,127,927,530,701,096,063,707,817,213,797,670,973,250,670,075,825,339,
063,699,066,126,168,340,568,245,273,231,592,278,966,619,363,727,541,830,151,
763,427,012,964,996,743,748,714,253,618,223,922,791,387,943,293,193,812,257,
538,322,803,011,757,719,207,673,279,831,050,789,246,675,704,873,094,646,473,
684,992,069,155,752,503,035,461,536,467,612,572,910,410,502,357,851,214,934,
691,351,263,564,646,541,964,443,048,174,193,419,518,758,144,188,720,242,694,
001,504,741,771,322,330,736,768,270,508,687,709,622,443,020,037,685,295,098,
156,931,811,124,398,460,018,130,396,522,468,984,238,463,339,929,104,124,277,
993,865,614,893,911,816,924,962,688,645,511,813,935,842,743,060,463,249,663,
240,719,637,503,042,972,702,007,558,212,495,929,853,015,650,147,826,411,330,
891,902,361,088,300,135,822,039,002,305,192,241,064,209,887,150,631,660,792,
962,757,480,225,241,203,760,989,731,694,589,608,721,561,579,390,464,377,891,
667,795,487,324,834,250,646,530,585,074,429,156,769,634,867,461,387,459,585,
836,219,271,954,922,500,111,221,141,347,117,681,450,694,537,539,126,106,847,
406,623,099,183,111,751,400,968,961,018,009,870,829,383,919,840,197,000,487,
215,726,206,559,801,010,159,192,179,599,877,280,899,055,178,765,483,113,244,
584,724,707,148,030,679,998,843,429,454,342,425,058,034,791,720,045,580,730,
758,121,246,968,626,080,053,720,995,739,586,966,463,704,111,582,831,545,536,
084,477,641,329,261,123,642,074,662,004,250,964,261,050,853,197,903,543,955,
879,424,220,691,902,053,664,555,495,600,652,110,492,996,252,528,710,798,125,
751,383,523,602,514,698,406,590,569,197,573,757,340,119,774,401,348,495,945,
227,973,591,409,856,348,067,929,514,493,868,893,963,956,075,890,565,112,368,
304,342,625,817,430,953,490,399,027,101,941,944,513,149,247,551,615,405,800,
855,868,192,387,820,912,519,139,396,735,080,630,573,830,361,853,328,988,218,
434,805,248,389,480,877,210,498,226,516,456,922,338,957,706,957,620,781,932,
547,582,416,783,113,866,702,599,957,329,748,123,091,326,373,314,961,803,796,
000,378,040,134,682,092,686,450,717,288,021,377,956,084,935,873,429,681,404,
370,469,504,655,920,019,723,539,802,632,209,094,476,710,610,696,233,695,150,
632,835,986,383,458,504,541,467,382,252,357,926,905,660,639,053,849,165,182,
926,082,581,855,882,776,123,491,797,805,127,594,192,799,658,248,321,942,200,
675,311,951,643,080,472,718,254,775,743,947,348,268,231,937,469,944,303,560,
556,647,412,059,412,931,406,728,184,477,899,073,226,263,387,712,650,255,473,
418,424,558,963,923,176,197,035,865,891,080,348,085,420,596,595,436,382,511,
938,927,302,262,556,667,371,052,161,880,659,690,864,697,172,156,225,792,332,
531,619,661,831,339,486,548,655,835,699,518,108,520,272,882,757,253,180,921,
372,039,011,149,900,618,147,882,238,545,004,737,517,697,931,526,312,821,290,
446,057,711,523,097,969,556,233,362,191,399,082,818,675,604,083,734,092,101,
366,534,899,892,199,526,428,464,302,959,744,253,013,908,768,053,260,592,664,
647,765,947,491,210,625,063,949,913,891,891,096,646,252,283,559,182,850,656,
800,568,736,225,907,677,613,940,936,755,592,594,444,721,774,584,874,505,249,
065,528,910,050,548,087,752,729,036,417,621,682,689,931,613,432,612,706,660,
514,931,300,969,148,457,661,958,529,454,864,007,487,013,643,713,289,826,221,
579,503,712,372,430,493,678,979,154,050,641,479,683,003,864,274,647,048,904,
853,906,618,694,219,260,275,058,886,672,841,956,255,330,762,486,560,426,941,
409,828,737,323,936,468,411,133,462,348,650,561,204,685,872,205,555,049,334,
942,062,511,157,409,469,238,845,421,154,992,843,527,931,940,975,645,911,679,
112,408,473,224,098,080,166,001,023,667,491,819,649,640,137,077,566,324,316,
045,224,748,422,441,464,802,406,224,326,382,684,053,943,025,680,124,785,099,
078,939,084,649,095,818,462,770,326,253,138,105,090,239,642,055,634,080,795,
447,193,426,642,286,272,530,792,167,916,694,665,633,040,419,701,922,380,117,
733,559,936,314,287,895,249,945,034,224,625,710,620,896,423,065,622,255,287,
808,818,467,724,682,191,460,324,140,943,405,607,705,950,769,034,432,698,746,
201,957,388,291,499,038,285,330,570,543,652,249,765,275,383,010,094,827,826,
810,692,489,691,626,809,262,957,271,088,514,871,360,644,113,629,167,095,687,
216,560,067,384,624,601,542,609,387,475,130,570,614,183,077,922,063,009,202,
264,112,819,349,973,619,699,883,130,011,024,353,803,885,779,326,195,083,551,
367,176,612,054,584,501,730,161,301,909,863,896,294,772,660,270,490,330,562,
302,289,972,149,719,973,128,543,086,599,063,639,247,378,251,717,942,801,042,
241,744,181,387,814,911,932,273,682,297,874,156,316,872,783,793,662,563,670,
647,673,640,137,521,560,962,240,710,354,663,454,720,891,613,215,224,470,626,
789,075,962,978,003,149,916,094,352,979,591,107,502,475,287,402,389,870,605,
065,932,296,478,722,814,608,320,761,157,797,122,560,511,803,948,224,920,253,
206,112,554,646,280,188,368,652,314,285,586,562,198,015,498,736,875,039,080,
185,956,816,627,314,815,025,731,091,563,757,926,126,449,777,480,551,590,787,
238,640,580,291,907,309,097,520,466,636,691,436,779,774,622,180,918,729,293,
831,487,782,188,221,053,460,895,807,768,276,629,914,816,434,765,701,288,727,
530,198,618,418,475,521,786,635,124,981,466,112,322,714,050,618,091,803,885,
438,973,673,795,333,159,336,936,801,248,261,570,897,889,944,579,421,612,055,
338,671,742,270,415,969,475,629,609,205,819,554,643,682,277,022,007,895,551,
606,364,258,363,349,777,684,669,323,469,788,915,776,767,863,811,738,192,791,
921,961,620,167,379,515,379,630,090,561,604,244,944,805,703,099,101,937,949,
918,877,686,121,994,416,438,693,306,667,799,456,255,459,958,969,509,388,771,
366,717,066,203,457,997,380,361,434,523,561,901,888,575,342,712,110,392,729,
110,987,049,425,783,523,177,652,555,231,708,751,129,228,386,851,233,420,775,
385,715,535,505,266,546,753,494,491,037,329,152,629,720,210,703,396,638,925,
053,372,909,873,891,176,052,422,489,040,372,202,254,648,924,564,535,509,979,
735,867,749,515,122,860,269,035,531,261,326,281,718,091,162,106,161,410,158,
151,609,438,762,651,796,439,983,933,472,567,334,273,949,866,762,432,585,657,
822,484,974,397,602,311,715,245,990,266,537,854,958,889,614,147,603,295,396,
412,089,783,787,398,461,011,765,180,769,348,849,993,297,191,628,893,882,691,
837,111,919,731,713,435,170,386,058,466,738,856,523,406,720,087,615,367,865,
316,628,970,925,619,949,928,630,210,573,546,420,982,552,262,875,464,442,613,
899,573,439,052,549,167,607,013,658,157,041,422,841,805,787,487,444,431,410,
810,402,751,668,499,799,264,337,032,948,409,881,509,836,375,215,060,004,392,
859,439,419,550,245,145,226,984,542,705,922,659,757,230,735,355,056,356,183,
012,111,562,942,561,548,155,410,663,313,804,364,005,465,230,890,203,750,405,
367,241,167,788,314,621,057,073,584,834,762,611,061,368,482,104,506,398,863,
149,226,071,403,134,759,569,171,417,385,208,971,819,535,586,625,804,314,995,
170,981,046,788,266,738,932,356,845,483,139,866,550,090,555,845,333,421,978,
759,968,908,813,778,107,178,750,280,235,133,137,269,585,730,652,013,423,512,
866,267,757,848,758,183,115,930,140,437,937,035,117,651,982,451,687,287,018,
137,902,617,958,676,472,516,189,272,684,432,315,955,123,364,594,405,798,395,
299,982,985,225,356,386,121,679,158,436,121,945,195,685,643,568,837,462,464,
642,852,445,526,476,995,002,576,548,018,430,416,616,448,489,423,005,658,920,
723,963,356,659,073,786,775,234,656,137,537,442,530,495,016,837,067,216,715,
684,326,855,959,340,049,656,304,989,508,816,289,558,798,226,716,888,628,202,
397,308,954,120,723,012,966,048,826,071,788,250,379,552,400,094,065,175,745,
110,514,734,720,619,081,220,913,555,651,331,357,327,709,926,404,051,512,112,
803,299,114,006,048,163,347,829,763,656,334,133,506,174,808,492,093,388,864,
648,125,089,677,413,896,788,490,310,817,136,847,876,506,550,345,312,615,722,
627,133,785,991,953,419,003,398,940,552,707,312,877,593,264,091,891,924,482,
763,331,406,031,930,027,806,966,429,526,935,491,035,173,480,228,044,769,598,
071,312,695,137,668,645,988,111,847,383,402,104,499,254,613,118,771,033,526,
255,300,155,431,434,872,660,880,419,633,683,174,202,682,406,918,485,644,171,
245,597,371,342,538,343,563,426,255,343,554,794,324,430,691,275,163,581,601,
991,950,310,757,258,198,214,016,799,207,816,165,190,935,119,492,507,939,455,
808,932,314,941,793,432,217,419,045,805,172,356,756,807,622,642,136,140,198,
283,983,716,199,835,213,449,296,251,528,979,393,480,553,024,100,176,416,441,
361,770,976,514,808,541,803,484,430,480,452,050,664,165,349,803,713,097,992,
947,469,766,874,888,694,449,334,991,837,179,028,115,084,736,997,493,963,147,
058,062,264,641,997,432,352,927,341,763,410,245,836,725,245,304,934,160,792,
368,100,769,780,268,165,926,284,149,891,990,320,410,129,059,675,940,689,719,
316,872,048,428,855,246,480,293,813,852,221,389,907,504,455,880,653,382,156,
192,276,515,861,425,888,518,988,024,059,452,415,198,199,891,255,390,046,144,
580,302,317,241,300,907,240,628,973,746,651,954,009,668,112,145,419,738,013,
531,400,938,722,270,611,371,743,309,869,186,007,328,845,270,164,423,386,442,
976,045,917,966,545,472,902,259,358,776,801,900,862,860,321,384,996,986,123,
806,895,347,849,898,078,548,179,182,586,241,651,561,489,256,011,173,714,299,
406,691,950,873,837,944,921,053,882,364,404,111,030,470,575,596,650,124,751,
635,167,054,978,228,895,217,874,948,703,271,535,306,021,295,963,597,976,924,
814,161,614,494,996,914,847,559,869,793,921,467,485,253,613,316,436,270,642,
816,274,399,989,984,805,550,084,979,132,871,827,970,545,423,264,528,404,770,
423,845,970,526,332,566,672,093,211,519,026,221,166,795,870,806,827,984,720,
231,349,119,261,453,269,321,614,770,136,722,585,145,484,397,488,991,162,426,
545,276,907,942,066,150,765,861,013,646,236,536,041,564,923,861,915,859,590,
759,496,456,541,183,726,912,670,870,137,629,766,925,710,334,190,994,608,728,
810,449,630,319,581,905,274,772,748,006,988,303,942,828,912,620,943,840,903,
033,352,305,104,064,083,773,387,581,115,565,770,504,358,158,125,696,776,591,
903,568,936,045,798,624,152,258,677,025,549,841,383,264,291,952,319,888,430,
470,835,458,194,791,892,696,259,171,177,393,384,038,255,688,426,955,147,462,
902,868,540,941,468,934,118,740,180,086,570,607,256,103,510,877,466,223,220,
907,515,925,268,996,215,604,759,893,063,883,908,903,069,993,532,019,726,905,
067,766,548,156,086,694,555,578,406,513,015,243,066,324,901,431,583,102,783,
719,697,436,388,180,567,421,212,965,415,918,435,361,932,366,250,538,288,089,
611,072,831,838,568,675,558,825,454,357,189,711,667,632,815,265,863,804,574,
271,897,426,131,455,475,719,199,819,462,046,896,412,472,498,461,092,153,778,
615,040,844,394,209,361,610,402,743,052,740,740,467,232,889,738,102,929,724,
231,375,565,208,791,927,011,387,771,411,871,543,870,586,306,060,563,750,505,
429,852,756,950,720,856,481,470,246,806,666,972,710,634,981,238,360,080,064,
705,896,973,611,995,045,630,232,076,341,603,397,493,692,528,324,745,516,775,
792,135,154,626,986,582,234,809,416,675,713,596,080,495,306,888,633,148,553,
330,595,814,368,374,514,809,384,778,393,128,957,904,361,357,858,602,972,176,
289,476,460,499,330,825,031,662,467,266,860,883,141,358,975,243,203,488,303,
899,121,948,608,732,306,364,320,115,853,322,795,382,484,046,713,785,069,790,
108,385,433,752,107,782,241,484,184,086,344,565,714,564,048,817,583,350,449,
063,873,428,749,238,055,141,397,788,271,680,972,565,266,574,272,285,175,221,
761,033,750,711,126,648,105,457,712,324,578,079,271,512,886,963,885,401,800,
587,415,479,429,914,668,216,986,185,512,032,049,281,795,911,272,700,989,969,
512,759,433,410,317,530,878,133,960,764,224,680,670,474,077,735,092,160,293,
769,309,568,647,120,649,016,686,592,726,168,302,757,349,817,658,512,317,954,
807,247,460,114,787,184,869,191,223,455,430,950,632,224,188,743,515,708,372,
684,762,788,483,315,150,168,090,975,740,031,237,264,774,620,348,962,988,466,
932,067,499,228,159,128,806,190,643,554,880,091,820,247,354,565,695,529,989,
531,026,656,049,664,698,628,842,371,146,798,319,690,062,917,013,807,542,701,
233,867,131,375,943,103,675,122,915,656,582,450,445,864,646,505,508,408,176,
389,886,259,865,185,128,112,089,381,430,037,987,812,790,893,565,991,336,101,
140,825,837,530,091,202,922,397,634,207,959,147,025,730,227,329,425,474,494,
557,500,900,251,678,376,367,585,865,541,576,062,585,919,350,075,311,348,196,
708,186,700,976,182,678,416,846,624,910,453,203,385,657,677,867,390,913,382,
494,858,482,799,189,161,614,311,712,367,038,108,202,236,805,374,577,443,364,
264,088,357,127,755,967,138,046,840,628,785,278,322,875,124,662,990,711,095,
976,834,570,459,233,085,486,841,911,079,705,126,305,530,436,281,148,093,729,
437,226,053,619,943,824,591,836,889,989,893,406,837,603,030,028,424,076,378,
749,066,667,809,628,725,334,866,045,709,282,086,220,954,251,944,538,343,538,
353,398,890,127,064,282,234,789,510,531,275,531,553,640,296,156,883,422,905,
272,210,966,886,514,294,925,175,115,654,052,227,525,239,778,246,724,479,332,
167,298,646,996,720,238,192,117,723,465,007,187,976,359,086,240,230,200,833,
709,163,982,946,302,739,957,412,953,937,362,115,716,791,303,899,917,781,090,
129,599,526,004,767,612,613,572,730,642,810,628,498,461,621,542,068,859,124,
533,067,319,302,842,428,786,389,643,570,337,074,947,750,926,032,192,217,025,
465,702,999,189,973,267,317,046,745,362,366,620,885,456,904,990,910,902,052,
568,456,448,970,574,046,501,784,646,607,203,023,930,198,812,211,150,145,956,
366,344,286,455,496,108,819,420,401,085,955,100,531,849,825,245,364,899,635,
446,794,329,848,496,295,980,212,439,085,027,135,799,489,078,316,227,996,370,
719,761,335,478,486,049,847,516,315,281,458,017,276,076,270,443,902,088,376,
056,735,608,724,797,712,087,805,664,010,278,954,734,197,392,722,797,936,942,
884,498,378,014,474,321,098,589,063,317,781,254,899,236,148,217,764,373,508,
044,119,826,087,839,776,025,000,492,670,133,073,210,817,535,794,472,943,529,
470,303,721,438,756,205,608,987,625,903,969,885,613,383,007,775,245,283,735,
793,226,782,400,290,904,554,840,991,425,258,991,078,851,588,759,896,911,019,
301,779,084,276,823,365,680,907,324,641,370,758,341,765,186,827,871,482,734,
892,650,236,887,682,284,567,136,326,845,508,882,592,925,373,243,581,431,444,
126,992,812,792,608,340,672,325,828,022,289,180,754,472,162,927,592,227,106,
677,939,952,950,479,348,644,906,355,215,240,461,278,390,827,517,972,803,574,
871,165,765,901,932,673,807,975,225,807,712,377,947,281,545,824,105,539,337,
130,143,974,095,998,090,179,711,244,600,891,116,729,452,576,242,532,753,236,
477,822,839,279,312,314,063,647,262,426,983,049,050,963,348,800,083,543,393,
996,958,994,023,234,509,772,606,198,174,964,515,332,071,405,518,616,863,982,
367,616,538,913,741,445,377,760,048,464,797,886,253,117,894,222,319,219,945,
379,140,313,399,591,801,183,786,276,797,060,909,363,487,970,678,754,742,555,
056,653,867,480,149,625,873,274,301,592,608,857,174,950,084,171,269,871,679,
551,175,071,182,182,929,962,852,918,113,828,845,090,739,076,126,433,810,457,
682,133,590,561,981,994,808,055,709,012,865,768,907,092,768,428,602,521,497,
918,305,055,452,724,544,725,894,876,095,083,501,538,657,078,382,092,549,284,
818,332,312,264,922,663,606,186,168,091,809,268,778,131,671,548,404,161,493,
501,671,520,433,404,571,676,739,244,887,713,483,332,120,377,325,955,679,030,
811,192,093,803,632,286,146,606,464,538,663,199,655,531,059,808,433,814,727,
289,667,343,007,086,937,713,903,131,866,776,927,695,039,788,056,713,875,355,
518,742,751,863,746,944,179,898,830,466,231,989,180,943,373,460,057,207,749,
583,654,640,257,362,338,691,090,461,694,114,739,415,426,950,901,561,023,732,
462,358,095,395,539,368,524,441,436,974,418,049,091,499,327,328,203,066,837,
032,143,818,002,161,454,284,104,079,155,376,766,493,182,581,221,225,741,949,
567,610,437,879,059,451,998,892,750,506,440,009,440,623,972,223,759,351,096,
236,771,167,254,741,494,633,856,276,772,513,512,816,255,547,331,038,571,216,
740,691,030,458,147,671,107,386,223,387,589,292,773,843,350,678,562,102,418,
307,055,829,854,649,036,088,180,239,386,854,270,505,525,973,913,129,327,993,
354,607,876,876,466,427,178,142,470,901,441,752,845,506,859,997,612,810,392,
451,294,800,902,329,834,259,808,188,963,500,908,150,939,006,980,352,963,208,
958,847,337,160,170,948,346,206,858,332,356,960,235,081,180,246,280,773,189,
015,578,999,104,180,280,761,504,019,028,629,887,813,376,247,969,109,356,656,
109,417,742,043,628,255,795,957,477,331,022,184,154,590,541,311,119,952,619,
282,942,745,024,261,835,791,131,210,104,040,391,226,927,199,355,184,669,250,
692,164,509,211,193,194,193,441,354,789,707,610,914,188,528,526,413,034,640,
270,609,104,823,511,452,674,418,284,898,152,293,210,749,787,531,610,466,464,
279,069,366,680,848,901,821,400,370,797,130,711,067,399,716,332,980,633,774,
169,323,944,292,636,096,376,755,350,061,137,545,170,273,187,923,356,353,868,
930,259,314,898,431,980,302,698,962,528,125,975,575,526,189,229,196,775,705,
257,745,377,660,057,266,772,298,935,298,085,836,734,961,643,297,725,089,035,
872,987,466,945,499,939,337,500,916,538,851,858,262,178,785,764,791,285,173,
477,115,864,901,513,227,016,572,761,755,480,380,161,331,737,357,738,623,163,
256,426,145,037,526,985,493,675,073,056,613,595,414,483,575,509,102,875,354,
703,330,108,650,481,460,318,469,012,045,418,171,683,161,179,978,842,726,630,
991,915,073,255,328,757,599,199,918,134,039,923,428,692,122,188,804,889,939,
487,161,743,988,141,056,452,594,404,305,032,890,535,692,433,083,194,119,295,
889,316,002,523,081,607,850,298,375,856,653,235,962,271,919,977,573,959,431,
001,273,736,017,576,830,186,649,219,693,370,959,614,823,367,240,517,567,321,
296,253,124,077,992,317,773,656,983,830,403,705,652,647,854,780,412,930,000,
992,328,911,234,720,267,292,442,709,210,900,456,159,819,129,371,139,813,148,
976,788,027,801,680,377,151,088,848,802,137,548,605,245,490,398,965,013,733,
794,250,450,006,810,366,329,776,144,708,681,302,747,430,980,753,964,269,114,
141,383,476,516,537,961,873,428,869,603,302,544,284,695,314,328,772,632,541,
107,982,183,998,720,595,187,676,025,025,926,166,676,947,629,463,504,357,709,
768,511,439,407,461,010,235,173,272,403,204,527,877,128,746,053,439,369,592,
999,703,722,187,890,120,370,294,788,829,622,382,497,143,641,696,909,342,344,
438,251,006,239,819,600,749,142,201,390,165,496,172,743,223,082,199,276,902,
200,365,317,450,301,058,948,136,450,399,166,970,508,433,089,435,411,210,082,
942,793,802,092,069,455,320,492,761,156,692,142,593,068,085,753,353,079,182,
466,675,099,667,804,808,535,683,800,922,867,602,728,508,583,320,560,941,329,
690,343,016,742,651,924,522,993,803,695,035,080,661,412,993,941,077,272,829,
597,284,902,233,920,573,611,711,062,218,716,149,244,443,821,901,448,306,445,
133,508,637,343,181,623,839,452,536,824,366,215,402,686,247,040,117,416,917,
771,660,092,510,123,881,875,561,849,900,498,463,063,532,020,778,370,686,199,
878,937,019,487,826,605,110,518,385,904,060,330,889,516,281,597,500,687,167,
433,017,612,384,120,668,060,460,470,329,519,479,144,987,336,522,535,524,697,
595,435,735,243,951,519,964,774,612,715,812,360,964,167,454,937,009,680,735,
484,226,813,902,487,112,058,370,073,700,054,048,306,300,716,259,185,876,390,
237,491,345,697,181,283,496,982,196,494,836,586,315,517,444,555,057,452,450,
421,211,475,426,522,499,718,670,479,452,051,922,203,056,769,720,898,483,582,
287,840,868,646,345,037,949,614,145,680,805,155,133,987,929,495,317,170,458,
057,150,077,836,710,252,365,397,947,486,603,695,622,225,706,502,686,136,535,
719,039,949,357,691,453,269,187,513,155,239,228,549,113,160,741,161,656,499,
544,380,219,609,845,782,617,168,521,678,267,757,078,050,215,600,809,412,705,
423,464,496,844,937,854,200,044,275,251,261,430,562,324,171,457,155,134,011,
992,967,271,111,017,369,740,927,989,356,855,227,969,372,607,006,625,087,743,
475,733,964,147,509,144,342,641,825,315,675,216,138,226,721,744,933,059,535,
434,714,172,972,866,482,170,307,614,401,419,297,404,158,540,946,219,744,907,
054,165,192,418,827,603,183,401,697,454,694,141,509,426,300,169,619,220,396,
053,151,327,971,204,587,528,939,336,217,203,550,945,467,125,584,634,512,194,
862,854,697,904,511,386,187,529,884,450,082,298,400,713,558,786,165,281,603,
591,698,886,860,777,732,142,372,916,389,304,966,216,725,873,099,013,038,614,
296,948,570,622,599,615,988,029,126,531,780,926,589,497,530,046,769,976,353,
683,878,254,085,618,182,817,303,329,109,687,773,976,839,350,794,738,245,410,
414,575,521,597,773,793,400,478,931,546,530,803,400,341,927,009,520,591,533,
014,775,103,029,077,568,349,177,882,294,252,247,145,368,963,367,033,411,141,
181,405,326,328,038,446,299,989,693,317,546,618,721,955,063,272,586,578,659,
925,469,495,024,999,849,074,148,050,069,276,521,322,458,878,087,526,139,585,
755,232,291,458,845,524,838,959,983,777,402,977,665,975,075,018,663,583,107,
586,236,580,812,074,562,617,296,333,717,857,690,038,532,891,868,176,212,599,
908,508,159,226,314,036,491,134,794,014,974,874,590,713,852,834,883,042,041,
544,227,233,022,012,565,702,731,172,401,199,593,570,345,327,710,259,035,828,
209,867,765,777,467,643,388,651,223,133,916,656,844,564,657,504,051,664,304,
620,552,755,484,657,917,959,901,322,747,930,267,817,099,177,364,235,365,275,
545,088,088,218,588,869,191,016,004,655,608,790,157,162,279,315,360,371,169,
622,058,092,044,619,495,222,441,693,004,842,843,133,880,245,623,071,716,372,
699,336,623,879,202,632,200,262,592,770,493,897,372,659,584,817,980,660,079,
463,823,362,272,249,027,526,884,296,199,625,883,091,687,243,404,035,141,845,
932,805,935,006,851,957,144,940,443,397,183,954,544,835,817,392,191,060,672,
703,763,574,041,565,495,124,853,942,734,131,460,584,013,374,010,083,661,958,
084,603,825,454,972,113,736,866,406,418,967,655,365,049,972,422,189,364,663,
553,511,110,319,417,017,147,358,299,641,160,345,384,919,042,987,590,545,090,
371,371,171,518,033,659,618,356,041,885,127,752,739,807,962,889,747,304,817,
217,722,760,448,046,059,811,401,281,249,821,580,076,460,951,609,766,241,188,
504,886,692,264,405,520,634,448,513,119,796,624,686,503,475,883,884,131,207,
281,785,279,670,900,633,711,558,304,514,038,618,735,342,765,872,917,999,735,
249,240,568,404,026,488,096,871,711,633,374,688,899,962,731,541,983,230,966,
033,767,288,197,319,871,660,208,783,254,432,084,334,520,007,340,074,428,002,
991,947,863,890,361,789,656,071,587,063,232,578,527,773,416,382,631,336,245,
736,269,091,732,210,267,147,527,885,851,598,283,404,827,763,394,966,895,739,
938,058,865,759,322,339,340,188,861,540,190,199,748,918,999,255,196,395,665,
932,142,515,909,759,769,519,232,455,909,788,348,063,942,712,855,182,662,817,
391,583,491,782,399,523,999,309,962,663,457,131,720,255,117,308,344,626,958,
047,597,645,338,880,025,795,293,386,064,768,347,511,934,064,590,389,166,084,
096,931,038,519,577,675,230,519,201,893,646,580,515,337,399,607,503,274,608,
646,073,582,495,148,836,766,521,218,810,689,712,241,180,028,456,506,406,909,
784,973,742,191,418,457,425,171,366,583,978,913,050,605,150,087,683,572,873,
649,356,310,561,708,598,306,644,013,072,989,861,773,808,043,164,466,749,096,
985,466,605,518,672,492,654,963,213,563,701,281,802,426,320,572,307,939,980,
700,654,056,736,769,330,387,636,282,177,211,041,260,186,733,498,412,397,684,
092,790,561,183,461,474,787,293,511,996,311,591,056,266,382,324,109,610,311,
128,510,788,893,093,899,616,260,515,584,771,348,226,018,416,940,201,777,172,
750,758,597,740,655,920,863,212,135,469,703,143,484,389,241,827,985,887,725,
301,888,897,300,872,176,076,652,045,728,514,992,015,144,413,897,160,565,920,
933,885,475,476,800,522,298,318,074,103,120,074,427,084,611,011,371,402,549,
475,314,365,094,798,528,943,530,813,561,247,825,742,279,014,072,889,628,489,
529,489,141,722,695,680,600,520,075,726,536,672,746,989,848,456,447,120,378,
568,811,029,076,731,903,024,877,937,616,373,798,540,020,192,424,518,551,236,
647,495,232,743,780,684,111,145,650,802,105,727,457,424,122,970,526,855,942,
826,299,580,587,703,373,282,363,453,230,070,978,129,658,886,333,514,563,587,
742,610,309,144,225,994,705,738,955,719,028,188,899,221,758,233,127,886,860,
580,929,540,572,572,987,362,951,671,295,353,550,103,667,167,345,052,662,315,
799,798,768,710,924,803,515,089,381,136,055,810,657,907,945,629,036,638,806,
501,073,275,566,581,939,518,984,140,172,517,638,588,190,377,817,440,247,819,
992,922,863,436,084,326,925,367,408,203,322,152,641,240,931,327,782,267,532,
668,822,432,283,859,281,808,119,305,447,534,891,056,091,230,061,479,034,234,
731,424,369,681,261,523,068,551,349,675,393,594,981,032,886,079,621,379,777,
654,738,286,315,816,291,654,151,274,123,298,342,993,658,674,775,024,552,765,
634,510,623,055,246,584,770,779,598,902,391,755,359,565,006,595,518,472,106,
345,204,752,542,961,815,280,165,941,116,713,255,298,371,576,531,558,669,866,
952,114,428,559,043,184,066,242,957,560,137,029,838,414,013,738,158,421,960,
896,090,717,477,913,410,954,985,531,146,121,699,047,739,000,188,675,126,035,
093,737,275,569,809,544,859,040,935,879,487,256,048,805,456,988,086,556,338,
969,676,132,311,756,594,452,050,405,645,384,044,855,947,652,695,320,884,551,
019,299,306,107,921,736,042,083,452,306,136,314,806,437,572,397,323,368,485,
716,204,757,544,855,789,031,241,484,073,265,080,670,830,470,059,014,642,010,
853,105,708,498,315,553,493,046,985,707,883,043,578,219,030,927,716,085,772,
506,708,159,685,829,442,720,004,161,299,576,777,021,636,284,445,704,638,743,
884,439,942,896,799,053,215,707,587,293,392,818,622,180,290,138,187,370,452,
090,025,187,355,270,062,276,307,612,906,846,690,483,051,938,343,172,351,936,
193,643,948,040,428,600,114,113,726,821,718,053,429,269,210,372,201,085,678,
175,281,677,390,114,459,701,598,552,886,873,091,347,298,446,254,435,120,114,
703,664,155,131,210,097,464,754,620,689,279,062,159,882,875,846,390,364,894,
306,995,813,351,938,786,700,693,384,680,452,612,801,537,829,426,317,320,124,
540,818,432,440,328,141,777,820,614,344,901,148,320,294,337,693,609,922,145,
658,616,568,724,169,812,430,483,667,506,171,998,361,089,344,783,423,116,077,
512,810,981,280,960,397,910,401,753,603,908,762,100,311,786,893,922,041,861,
976,068,729,388,380,982,903,227,734,077,266,881,764,398,254,935,302,330,858,
851,188,315,191,809,459,439,954,617,561,984,070,463,005,471,107,864,191,751,
602,291,668,661,993,269,576,036,432,448,818,988,859,375,764,146,718,550,932,
145,950,827,142,990,549,626,230,323,596,625,304,175,265,333,030,991,952,274,
824,888,434,205,401,291,867,237,769,489,511,639,736,483,248,208,959,681,727,
014,752,403,452,684,902,812,995,341,966,557,148,191,223,270,830,539,525,792,
306,949,488,773,283,503,306,160,194,074,527,964,029,874,959,069,292,459,882,
233,838,240,554,964,984,032,942,860,269,484,708,110,177,252,577,322,560,363,
913,571,033,238,446,223,368,352,154,772,634,671,385,596,793,757,161,862,319,
802,994,396,734,854,306,488,927,756,879,744,697,858,444,185,737,920,219,089,
625,563,019,610,348,235,783,404,142,819,100,032,381,455,983,967,034,344,256,
134,497,149,588,126,127,934,703,828,034,519,393,424,164,258,603,933,043,874,
730,459,040,172,305,508,441,820,284,009,669,962,988,208,546,230,771,586,783,
070,879,498,680,859,578,496,865,945,126,171,937,200,441,919,208,518,760,088,
209,382,283,654,329,692,286,034,789,384,586,398,936,913,527,641,731,436,193,
629,726,924,538,107,528,141,361,732,708,265,289,191,671,988,915,257,216,758,
476,258,023,876,406,145,654,312,345,172,294,622,854,119,464,132,454,009,044,
889,527,472,125,515,813,870,355,895,104,814,527,161,692,179,420,320,163,992,
820,673,953,708,838,232,351,790,458,889,908,608,066,509,333,387,471,261,773,
166,154,633,381,780,207,136,178,370,429,711,838,857,260,517,178,399,649,648,
791,049,912,972,762,157,121,118,504,808,421,549,367,020,567,643,855,841,068,
783,950,126,484,549,529,207,740,421,392,650,963,577,014,016,001,262,062,888,
452,765,111,666,113,295,002,704,321,873,402,695,974,615,117,704,333,608,687,
906,151,963,765,942,595,378,730,043,162,020,271,580,749,699,686,130,273,898,
410,027,835,340,680,574,556,774,287,066,007,074,771,002,625,036,218,158,876,
080,118,244,206,033,430,194,097,460,333,978,117,350,162,311,088,650,979,022,
451,912,544,735,260,818,015,844,915,572,313,049,190,879,533,724,273,287,599,
789,149,139,665,480,332,737,921,731,559,459,498,521,675,994,045,219,318,018,
558,254,220,379,622,282,090,184,783,402,913,583,707,556,153,212,683,716,331,
441,825,153,535,323,632,176,953,318,573,321,654,184,273,394,557,370,135,669,
949,204,163,244,312,508,868,976,798,983,924,381,730,580,340,389,371,335,832,
435,810,282,972,891,841,694,693,838,536,912,582,796,325,620,203,750,019,047,
136,645,659,296,507,709,565,882,613,088,422,691,147,291,310,952,201,589,081,
872,785,226,259,484,839,101,027,877,342,246,063,450,752,003,754,912,072,123,
635,948,915,963,530,205,534,837,546,236,216,977,727,026,932,555,454,916,883,
012,638,006,952,915,781,749,282,916,138,383,993,644,604,150,396,422,283,440,
962,133,443,702,709,655,543,430,499,905,034,500,839,328,289,902,928,881,842,
760,916,243,053,647,954,702,371,604,620,158,673,825,243,031,376,575,707,946,
288,440,552,765,444,085,472,961,506,315,138,002,678,022,198,194,139,893,717,
345,401,909,127,158,186,023,103,229,705,953,730,717,492,618,452,977,764,250,
694,352,599,436,556,541,030,783,205,455,017,541,000,018,806,328,444,944,917,
170,452,890,717,355,748,998,921,802,227,157,954,433,979,506,727,156,498,612,
975,053,131,687,905,938,607,209,526,473,045,851,030,836,715,070,217,341,141,
123,196,167,670,772,980,402,629,267,520,100,564,406,132,044,279,606,234,554,
977,672,928,598,712,444,459,072,977,149,536,960,633,574,275,641,012,926,182,
998,287,458,833,777,468,755,625,962,787,794,437,926,624,846,642,962,618,699,
843,803,906,244,118,958,322,041,384,772,960,578,711,205,141,618,067,287,150,
030,420,906,185,465,876,349,083,635,563,762,079,772,901,464,697,727,324,849,
779,058,702,617,729,061,785,731,991,582,895,994,299,281,928,615,219,628,373,
900,592,082,448,059,331,526,637,877,391,718,645,610,842,230,357,662,958,907,
385,181,509,894,386,459,575,435,057,223,459,192,687,750,909,691,561,435,794,
348,187,009,832,139,865,651,427,177,225,742,153,793,780,308,708,861,537,090,
813,018,069,364,638,511,771,602,165,852,554,100,126,895,002,799,008,396,322,
886,087,102,050,702,184,521,685,378,823,754,777,536,581,258,502,912,723,578,
540,479,068,353,118,208,116,252,722,332,050,049,959,375,357,136,093,012,141,
786,535,390,873,172,005,781,387,610,631,801,313,787,951,522,604,391,122,619,
478,629,983,802,578,264,328,878,195,891,500,946,492,254,944,532,299,536,600,
831,052,554,696,400,515,542,030,861,837,959,013,653,985,930,929,086,913,014,
384,189,221,873,888,428,741,612,656,447,365,467,414,700,433,291,967,055,880,
700,313,544,115,453,934,933,974,738,068,674,099,964,859,777,351,957,413,577,
255,395,715,505,198,802,439,560,125,923,100,215,758,499,239,162,832,662,267,
115,443,839,380,147,251,220,187,342,709,679,250,640,124,402,340,875,684,486,
352,844,702,595,582,567,440,473,241,896,894,737,232,160,611,887,703,344,705,
105,802,330,940,254,196,551,089,221,045,722,516,374,228,625,552,092,694,158,
358,342,677,648,467,651,234,492,888,120,050,365,468,746,122,700,300,459,780,
455,723,620,044,926,580,933,383,220,026,957,922,581,301,052,615,224,409,620,
361,015,761,487,756,605,428,291,691,823,041,472,952,786,771,203,975,328,090,
573,920,533,120,999,089,454,206,524,990,461,234,069,428,938,906,943,654,372,
182,324,823,197,101,468,912,502,030,428,473,315,917,187,047,661,346,820,209,
005,863,199,918,619,358,454,431,109,947,481,327,178,169,126,766,203,850,290,
748,368,593,834,991,942,770,545,346,325,387,993,186,093,520,893,594,118,563,
320,653,065,333,638,370,218,934,655,765,620,482,457,228,345,932,619,288,419,
553,068,901,290,633,603,445,994,848,282,251,964,278,583,344,911,521,726,795,
867,804,181,273,220,114,034,828,479,885,031,145,947,200,747,552,470,151,109,
853,621,429,947,083,564,524,715,534,531,083,130,608,063,215,934,181,501,949,
161,864,543,382,833,016,355,815,290,712,912,456,125,221,180,398,309,571,957,
788,185,871,877,493,785,268,532,338,523,741,064,056,491,898,893,110,388,329,
577,758,788,161,789,002,099,909,794,418,523,432,622,646,853,083,347,228,500,
966,666,027,352,657,494,212,281,915,205,719,229,691,243,009,552,010,519,696,
181,794,138,507,922,159,073,869,538,385,252,943,027,692,314,350,723,038,770,
853,679,760,435,330,608,596,399,875,883,009,897,173,047,151,548,479,396,958,
211,055,778,128,427,593,815,055,902,335,254,641,489,486,646,398,389,817,460,
050,792,786,562,114,470,171,248,952,178,954,310,650,803,107,520,175,513,541,
965,363,075,476,954,249,628,676,280,228,131,283,335,526,029,927,837,002,644,
963,305,805,311,245,081,128,809,453,802,105,720,333,462,213,458,158,071,394,
327,318,673,761,983,874,690,654,130,492,028,493,893,195,864,356,316,692,890,
331,819,648,214,177,234,508,465,865,783,678,277,567,895,701,385,931,797,636,
981,441,987,268,163,354,847,318,375,075,354,310,989,213,020,321,295,150,581,
269,218,195,780,963,244,200,199,623,714,228,418,137,737,926,756,136,477,278,
499,271,727,348,641,580,655,731,729,076,441,737,630,282,695,952,809,394,743,
062,193,940,940,737,837,874,801,501,928,761,596,041,676,404,872,360,442,682,
823,641,268,096,925,320,905,496,479,629,839,211,359,130,628,110,935,481,324,
928,233,508,128,356,273,499,174,740,290,977,266,244,380,564,817,507,432,000,
216,582,425,014,059,877,424,364,021,095,042,726,577,606,149,041,682,012,092,
565,488,202,258,143,707,593,008,851,485,175,470,289,230,462,920,334,875,336,
624,450,704,205,084,895,984,554,716,640,205,917,189,629,686,300,445,364,904,
133,242,875,763,520,462,702,920,560,507,924,003,952,730,664,159,802,822,932,
239,935,242,094,505,169,332,781,536,516,204,520,368,843,586,811,477,960,513,
256,812,087,453,717,639,801,117,822,497,707,847,894,935,511,130,269,802,812,
423,409,099,511,646,129,154,465,661,238,774,940,011,110,274,527,257,834,968,
088,903,814,094,971,723,025,351,252,500,206,695,231,508,709,937,246,338,903,
727,819,250,873,409,191,190,954,034,921,422,320,280,999,174,918,768,177,632,
852,774,193,725,471,479,449,761,823,420,299,038,605,159,092,129,560,053,485,
799,758,570,005,891,919,525,873,007,272,326,018,818,667,087,326,311,704,463,
631,481,973,646,323,242,564,828,648,808,524,561,798,472,583,991,091,131,726,
610,771,368,284,373,621,235,844,924,672,112,639,877,809,762,205,716,255,173,
721,972,484,831,197,515,087,976,235,275,531,551,239,033,276,306,961,869,087,
200,808,278,331,826,000,419,216,086,811,911,980,646,830,281,766,314,985,872,
052,579,809,358,358,283,422,679,092,930,401,369,221,274,839,041,941,959,150,
210,895,985,717,595,967,440,559,948,167,699,854,951,158,442,941,054,192,277,
902,160,684,165,767,575,858,191,819,831,143,350,363,633,912,338,107,315,401,
362,590,288,354,763,267,634,129,856,139,713,970,069,249,147,675,883,231,995,
735,043,828,540,973,662,303,473,002,458,339,518,605,144,401,519,751,482,996,
307,433,979,845,579,386,433,286,144,845,809,564,733,998,552,336,904,186,951,
698,064,887,244,626,162,938,513,485,695,652,328,073,783,848,018,134,427,710,
256,684,703,749,402,187,422,957,383,851,851,791,216,781,016,907,395,961,177,
326,884,268,315,752,457,188,254,257,939,428,354,304,236,087,419,142,776,982,
330,910,060,733,590,812,489,166,309,526,292,289,431,323,607,572,952,084,794,
150,835,154,537,378,453,756,388,496,303,899,618,063,819,322,273,225,953,111,
171,199,735,612,092,657,101,223,657,487,157,014,733,980,400,999,885,910,712,
724,704,840,809,233,017,826,596,613,404,007,149,688,222,484,025,614,197,882,
809,874,984,254,729,699,024,111,216,871,536,048,005,753,593,864,358,939,115,
555,683,231,864,636,625,387,202,656,272,941,329,429,631,143,473,775,702,764,
574,043,844,864,291,461,268,244,695,459,060,658,627,148,754,739,522,301,718,
131,644,196,233,034,293,621,894,501,452,968,708,649,404,418,329,932,839,654,
021,667,768,864,880,787,952,413,233,014,030,161,214,092,853,194,530,118,115,
918,512,574,649,434,272,061,128,836,631,620,021,989,941,086,777,029,381,760,
364,463,841,131,375,799,461,110,347,441,721,289,923,777,027,761,213,970,515,
238,039,438,340,872,953,293,869,474,300,408,988,234,022,009,686,199,861,269,
663,671,530,270,572,779,134,807,764,972,154,549,281,624,173,884,083,469,481,
018,775,336,049,071,839,687,222,991,407,300,833,618,259,120,542,103,223,440,
264,803,985,182,359,381,696,142,231,727,002,383,628,583,536,080,118,908,455,
476,957,163,992,113,800,321,426,356,926,793,221,532,079,249,645,605,320,202,
698,607,819,180,319,929,485,793,170,518,766,727,916,197,399,699,961,960,744,
145,203,916,865,320,468,775,749,219,965,506,656,585,082,090,665,590,193,184,
556,558,349,570,480,907,099,472,483,372,596,915,018,354,670,213,809,372,321,
350,312,084,620,844,711,736,779,495,266,789,789,986,663,418,262,062,065,341,
859,002,147,684,547,054,877,673,830,576,761,256,202,276,064,666,696,886,028,
022,179,898,698,125,118,490,027,709,729,286,135,415,339,624,785,572,401,795,
273,355,782,296,439,288,413,448,189,730,716,215,122,136,813,116,069,979,960,
139,928,005,945,646,488,315,657,803,563,334,887,422,984,056,862,404,828,210,
383,465,180,455,214,655,511,091,917,630,056,589,988,279,233,353,095,045,579,
077,935,514,872,626,576,597,943,652,482,299,269,808,394,634,745,987,342,473,
053,449,317,950,275,272,661,166,599,116,868,599,384,384,966,769,143,855,061,
393,835,412,814,596,531,219,730,790,735,634,550,555,530,179,416,212,575,549,
158,418,085,359,737,361,217,828,943,455,989,980,735,640,203,556,198,858,895,
411,919,202,609,974,176,611,572,371,344,168,786,747,505,234,486,491,838,151,
933,305,465,683,896,259,299,060,859,903,193,857,108,463,981,617,526,319,203,
232,302,634,487,782,993,201,001,230,871,680,790,865,156,894,386,560,407,629,
924,813,498,947,819,705,101,019,664,145,740,444,977,085,630,698,923,135,208,
391,696,385,468,587,092,158,303,248,653,198,972,170,324,919,012,706,633,630,
015,083,735,316,977,583,465,957,225,201,630,468,651,472,598,798,596,151,958,
809,848,937,598,283,678,508,575,540,865,256,131,096,133,907,628,511,271,249,
455,871,349,214,802,145,989,820,410,602,515,033,720,902,637,204,288,364,006,
628,756,255,488,716,422,823,376,870,237,438,082,180,501,291,619,792,360,371,
893,777,723,224,582,015,875,509,815,723,291,915,487,782,238,018,010,956,013,
606,350,091,489,915,539,733,715,480,486,169,708,572,855,334,112,601,861,001,
592,371,971,705,871,004,157,301,827,832,029,265,826,026,025,450,809,084,835,
863,002,582,202,344,348,323,251,991,595,570,691,161,423,295,346,661,614,982,
750,739,659,046,196,090,749,740,722,143,245,958,451,840,344,324,194,529,345,
288,602,050,887,311,559,330,715,030,850,454,571,117,824,405,611,079,778,995,
639,218,133,071,556,590,899,745,083,262,928,994,492,883,119,722,339,400,732,
754,908,841,825,695,018,007,723,475,165,029,030,403,277,147,987,908,831,606,
505,848,151,715,816,807,845,149,464,684,519,256,846,007,636,651,092,026,211,
906,884,318,940,156,155,634,159,825,060,527,437,296,195,528,636,319,983,671,
363,164,436,610,874,215,579,731,586,337,011,042,733,321,103,778,422,633,904,
514,978,156,117,965,290,302,340,392,791,615,019,249,902,973,495,527,739,333,
273,738,587,640,237,438,609,844,355,762,073,052,883,067,271,459,822,764,907,
272,268,522,431,192,909,765,335,195,398,686,053,787,288,955,093,534,678,487,
219,537,920,319,252,327,950,685,857,253,866,849,351,390,837,831,518,272,557,
338,424,590,138,705,943,280,582,219,163,318,911,120,588,255,474,242,663,853,
415,116,794,706,974,609,251,884,920,253,655,812,553,792,159,531,497,635,219,
107,145,801,072,016,650,432,944,597,285,274,282,745,277,377,258,147,875,714,
212,034,891,066,449,936,785,635,983,412,151,635,763,464,616,561,860,774,575,
434,165,534,381,156,935,375,643,988,361,310,741,454,235,416,548,002,112,096,
007,684,556,426,766,344,521,575,656,929,887,500,061,552,863,083,524,218,181,
208,306,880,774,698,527,166,775,358,586,360,783,657,503,137,852,615,508,664,
825,040,744,939,006,604,987,214,461,801,647,973,116,165,750,260,894,237,466,
199,720,945,890,646,945,547,525,093,487,352,386,732,107,254,106,587,437,260,
621,101,742,082,617,217,190,768,029,992,129,967,392,939,840,310,534,074,065,
623,938,401,638,185,012,651,342,606,899,814,867,438,299,108,683,105,272,035,
953,768,914,094,249,895,357,942,195,222,885,239,189,273,028,394,205,169,762,
017,087,406,873,796,520,655,866,804,287,490,088,867,665,649,574,523,786,801,
773,937,854,139,768,463,552,380,152,544,696,763,519,757,239,236,324,674,460,
586,756,603,782,114,662,469,522,451,802,104,739,717,436,324,719,815,701,106,
431,552,146,999,271,252,957,462,779,686,053,510,294,791,978,732,265,357,882,
184,376,763,468,693,302,264,753,850,372,237,445,878,778,109,753,131,942,367,
972,131,129,141,726,357,125,864,159,155,059,480,634,547,397,586,800,613,919,
348,581,248,421,137,692,685,448,419,223,174,255,829,679,756,738,698,246,571,
723,098,635,131,251,769,173,323,113,098,401,911,536,005,424,190,026,059,376,
655,561,110,088,622,125,230,208,899,256,193,502,213,718,407,452,078,851,137,
201,129,428,239,735,121,313,069,435,842,574,317,745,166,537,209,602,309,064,
913,655,824,190,514,201,732,260,454,850,929,958,071,975,815,334,652,405,136,
910,982,428,017,017,047,213,754,523,367,787,165,242,428,446,167,349,132,038,
465,783,062,535,228,724,847,665,838,718,944,484,696,288,514,858,885,570,574,
817,060,822,060,327,648,162,260,861,341,000,219,506,925,047,289,637,540,289,
285,828,838,085,623,176,210,445,402,342,871,854,799,953,351,476,038,558,388,
024,689,392,023,573,876,221,221,773,724,781,606,810,107,637,450,935,662,160,
576,879,158,057,816,274,988,457,081,231,155,821,688,246,597,334,786,638,960,
771,660,523,943,451,076,365,421,896,827,436,006,075,159,258,367,906,800,486,
548,998,701,894,535,232,545,465,868,267,646,940,632,855,908,267,053,642,533,
765,691,377,095,968,377,220,157,695,420,510,766,922,718,302,325,488,884,379,
014,570,330,213,822,962,430,919,241,952,655,783,354,017,275,012,008,387,700,
642,736,000,609,377,335,829,658,751,223,207,474,455,885,039,485,159,432,665,
861,598,281,470,456,890,244,702,734,724,112,175,642,390,115,605,824,054,430,
977,114,430,608,819,680,340,853,925,636,215,620,695,140,631,217,943,409,697,
255,362,768,207,879,714,735,961,440,170,943,116,193,305,281,973,503,405,576,
390,024,962,741,861,032,017,509,360,046,889,816,363,807,859,304,781,448,052,
001,081,485,556,168,015,327,738,596,775,108,873,967,895,882,703,382,289,619,
968,930,916,249,710,180,931,871,181,995,553,175,071,629,359,042,217,476,423,
328,962,037,742,841,115,292,036,997,613,480,663,738,849,120,970,855,489,499,
994,793,398,937,207,044,997,499,653,835,716,389,030,159,537,206,983,230,035,
066,449,750,077,433,343,302,267,300,515,311,467,084,631,337,984,584,171,727,
204,018,902,594,940,917,080,732,503,777,210,006,477,618,557,164,499,945,332,
644,978,220,924,563,164,707,109,643,653,531,436,477,177,635,453,223,689,048,
130,502,532,469,001,922,588,475,958,131,819,189,100,032,151,130,095,484,662,
013,729,959,176,155,214,805,884,862,927,939,819,578,209,995,889,151,348,424,
077,153,659,895,243,293,486,572,202,377,560,767,268,055,957,747,449,331,030,
276,727,301,682,164,605,891,916,750,942,471,422,118,156,478,649,875,571,052,
685,357,657,026,269,337,691,012,989,361,129,933,314,061,704,115,176,689,142,
727,750,450,712,401,699,507,733,608,491,282,540,808,371,091,407,128,453,282,
223,736,137,746,658,716,894,360,515,160,252,968,074,201,466,960,948,019,371,
441,547,165,074,065,586,446,541,881,598,545,324,018,057,372,389,171,316,499,
213,648,805,872,546,013,883,209,743,692,271,088,698,183,402,986,172,478,292,
769,586,107,769,824,972,432,700,672,470,929,451,690,117,076,502,762,885,456,
128,460,655,288,826,160,547,988,863,514,391,393,411,855,800,512,611,110,661,
523,062,474,702,115,046,239,082,015,708,520,722,623,885,347,136,763,149,959,
988,940,346,615,553,232,205,988,246,010,746,495,300,600,156,076,090,840,835,
167,744,814,334,413,457,976,084,790,839,097,929,094,931,612,641,203,546,797,
295,338,993,231,625,185,794,853,165,907,839,794,395,318,631,091,268,480,618,
648,873,580,274,386,902,150,880,981,530,861,481,794,809,307,236,390,375,430,
533,890,281,952,663,422,052,658,046,248,529,428,490,754,939,273,627,704,155,
440,482,731,820,280,597,482,553,460,895,440,640,713,111,158,278,332,455,789,
005,764,917,670,169,192,936,181,742,918,576,647,626,334,632,295,533,566,275,
910,941,063,833,105,264,847,269,853,559,147,146,855,098,156,123,320,154,248,
993,960,132,962,700,133,569,416,205,233,420,923,504,948,333,775,174,169,984,
989,935,757,793,832,846,217,101,277,230,335,129,374,796,878,890,992,380,535,
176,682,230,920,686,440,167,683,568,287,442,070,933,130,380,113,694,592,203,
872,077,815,120,178,074,776,676,265,253,174,043,240,060,481,860,166,493,132,
337,429,061,030,715,133,547,204,766,563,342,705,924,510,702,249,977,494,958,
292,375,532,459,850,663,748,128,506,434,912,651,647,302,003,553,075,350,289,
635,588,730,272,864,642,128,340,960,687,449,307,715,239,043,734,249,416,283,
197,533,046,895,848,421,062,084,954,012,384,841,382,671,202,899,210,849,012,
933,483,636,605,319,555,226,671,552,245,933,794,828,179,447,332,285,606,548,
258,958,890,482,904,650,856,029,598,753,129,459,321,471,594,652,487,937,001,
382,570,465,811,833,586,714,119,675,850,904,305,126,167,177,262,032,991,898,
853,450,411,814,979,759,540,858,882,525,768,184,142,332,832,670,120,714,325,
702,856,677,799,682,819,701,295,625,348,854,404,516,522,974,052,753,463,081,
907,781,324,866,779,925,947,868,468,852,247,875,355,663,984,821,557,503,704,
450,192,718,600,229,041,346,761,881,369,938,058,823,391,853,347,382,303,261,
636,158,317,420,623,879,181,201,717,591,058,113,153,106,360,641,945,024,756,
038,934,408,348,804,036,455,071,845,923,482,047,508,569,792,145,356,678,582,
786,513,884,299,387,454,233,448,860,071,965,278,788,935,686,456,098,970,019,
678,028,437,435,911,198,947,171,517,578,980,164,309,886,956,089,199,550,663,
740,280,394,018,605,247,677,017,004,470,910,647,264,225,930,061,341,637,620,
887,806,687,012,597,740,052,897,962,732,987,436,683,117,284,807,889,067,507,
900,910,188,640,839,992,996,241,788,411,343,528,371,067,709,502,589,606,084,
185,171,045,565,083,094,663,653,538,088,248,884,831,187,268,872,747,751,874,
596,415,310,578,035,048,010,773,810,894,435,229,713,773,770,312,551,675,344,
827,820,440,735,776,604,011,931,723,148,955,389,699,746,238,829,981,610,762,
670,698,932,273,340,150,415,815,493,928,410,489,252,127,472,366,227,529,678,
746,051,846,453,820,759,236,283,480,297,745,160,876,365,789,414,776,381,029,
150,586,705,381,928,990,620,565,265,845,241,904,778,113,897,984,357,387,555,
632,649,981,320,124,837,069,417,320,337,949,018,336,652,052,332,339,394,382,
078,715,954,699,781,920,452,218,933,566,698,634,817,514,022,578,802,834,606,
403,649,758,488,861,342,993,524,347,422,775,691,550,366,453,462,609,104,729,
253,367,292,088,312,374,531,430,826,957,924,219,838,242,020,277,270,828,708,
449,202,875,875,066,949,291,065,906,907,085,970,915,291,173,766,632,993,333,
064,935,291,009,757,847,656,519,478,515,494,188,903,949,958,853,060,817,186,
406,500,313,981,245,833,833,184,373,602,238,407,230,608,752,033,022,363,735,
522,698,705,013,737,272,405,270,027,535,554,606,663,419,069,195,233,140,557,
974,981,713,532,819,545,612,000,979,891,302,968,979,972,596,294,869,905,061,
317,358,297,449,639,685,948,238,896,652,462,834,711,986,253,477,691,571,425,
590,201,580,866,006,817,653,524,763,052,821,878,138,204,506,535,650,508,227,
909,241,079,074,581,073,771,965,534,492,303,256,811,149,373,160,363,400,735,
505,179,352,599,738,370,156,363,888,148,068,959,841,854,617,872,236,461,959,
706,979,992,913,739,559,542,835,824,210,747,247,725,248,776,007,277,155,870,
370,319,022,210,798,408,398,671,508,539,897,753,064,989,270,560,359,294,445,
211,831,615,747,163,924,816,935,061,111,079,046,420,228,636,796,468,020,135,
865,266,179,444,750,707,524,834,888,238,031,029,467,141,324,970,623,306,437,
631,377,163,551,626,013,603,449,314,630,648,085,210,353,285,906,356,190,299,
448,369,023,066,322,814,272,961,765,725,234,185,769,316,924,885,682,816,476,
813,036,083,062,066,837,378,049,599,187,512,083,627,601,753,544,887,332,666,
507,499,872,091,467,740,514,191,111,128,259,224,093,209,002,370,488,114,111,
300,234,482,079,774,931,048,716,447,014,225,954,925,632,801,690,966,041,720,
931,128,676,943,644,495,421,269,926,709,956,821,219,872,324,691,512,202,317,
987,158,904,421,151,927,212,270,022,653,604,634,364,588,242,083,412,621,440,
560,614,973,784,202,625,469,010,828,017,296,011,511,556,169,469,597,627,637,
013,654,598,285,424,262,983,748,612,314,057,283,944,903,810,815,771,994,242,
787,630,160,525,720,052,282,538,461,390,952,967,000,313,009,545,954,206,724,
427,689,905,978,393,413,074,730,402,377,111,783,894,465,031,175,957,516,114,
774,488,076,426,818,797,509,827,382,539,635,164,491,776,831,093,424,021,595,
245,641,315,434,020,064,934,241,539,447,105,347,025,041,598,708,216,652,499,
048,700,234,968,871,697,322,672,573,736,332,740,691,028,144,545,010,188,151,
189,587,710,977,261,914,856,419,160,713,262,256,392,005,310,369,501,833,601,
117,981,672,717,961,130,588,864,588,226,009,662,797,011,662,816,310,584,524,
898,148,520,300,720,561,553,536,848,990,638,752,117,165,805,706,033,095,972,
397,189,787,946,988,445,706,091,043,396,266,096,556,659,042,598,971,388,668,
267,925,495,232,582,540,670,286,302,809,873,125,710,141,163,429,030,951,641,
378,949,909,596,429,011,227,768,023,117,815,793,193,360,858,739,446,862,782,
123,208,106,724,594,705,225,935,741,331,574,961,627,661,023,692,899,410,389,
466,262,369,476,375,592,022,509,220,735,232,226,594,961,680,899,484,417,198,
142,193,280,442,093,025,189,296,786,249,240,948,282,557,996,978,906,559,283,
837,511,655,654,299,170,575,214,516,996,081,120,994,004,044,398,387,552,353,
819,843,546,548,393,361,915,053,471,950,935,881,638,320,679,053,407,674,210,
853,182,793,681,788,186,737,998,921,873,897,576,949,700,884,713,075,524,649,
639,443,669,401,362,325,761,101,103,278,170,215,537,662,351,828,330,082,877,
144,176,171,351,694,520,832,694,617,980,518,515,254,978,738,904,486,493,119,
809,960,414,977,324,621,448,391,210,229,041,785,513,543,651,295,676,648,337,
049,788,439,408,389,756,051,575,925,131,949,662,341,668,499,268,180,429,980,
434,805,412,225,948,052,192,167,393,080,313,104,129,777,006,875,420,634,724,
925,129,063,631,479,927,690,567,835,203,133,485,776,551,028,014,713,010,343,
643,960,015,016,096,556,571,159,454,207,327,992,188,350,472,782,968,878,687,
307,688,335,453,037,371,021,335,481,055,688,401,663,030,737,942,271,307,179,
458,435,683,967,594,975,362,750,080,598,763,465,101,546,021,712,829,791,650,
065,700,170,162,711,791,637,263,806,094,090,418,220,764,780,247,328,398,455,
812,399,026,214,618,824,633,121,769,370,950,376,122,202,902,597,471,062,774,
166,199,174,181,170,097,418,517,221,281,518,596,174,690,396,345,126,449,327,
370,134,854,410,548,679,766,685,437,533,328,148,840,566,962,404,463,685,287,
691,581,029,067,492,483,054,343,347,357,072,529,382,701,078,166,323,866,323,
999,913,061,838,237,126,790,142,663,829,899,462,203,651,862,544,572,790,330,
252,023,433,011,302,591,242,401,827,024,000,909,952,231,007,812,521,190,178,
385,216,539,375,657,931,535,485,212,046,788,479,346,765,421,215,613,919,444,
687,127,659,290,786,065,762,066,069,989,310,572,516,405,014,692,151,032,510,
167,506,081,237,376,052,984,255,703,007,123,616,503,238,895,264,225,244,206,
177,512,423,313,408,679,464,018,550,127,801,344,464,563,672,768,721,492,014,
348,786,477,458,426,321,526,189,779,824,942,486,418,671,554,973,637,715,816,
373,559,708,785,247,137,689,169,561,695,260,442,904,084,190,243,214,297,902,
714,648,785,210,632,706,494,221,750,775,229,724,781,104,213,455,606,096,045,
371,271,459,953,522,779,708,518,527,176,037,152,696,378,752,126,048,853,433,
440,235,689,971,333,116,008,166,509,900,671,877,514,609,377,749,229,088,882,
592,264,550,246,139,689,319,258,738,596,688,872,133,818,095,463,949,822,164,
319,702,666,251,188,499,117,691,656,724,379,223,374,736,689,546,946,269,700,
205,158,951,151,417,351,490,142,241,221,435,494,441,322,850,944,105,128,429,
171,803,133,684,602,309,651,061,299,669,139,981,531,392,506,775,442,290,588,
893,839,563,571,202,096,250,478,158,970,679,426,514,718,612,509,738,671,710,
661,049,339,671,483,386,282,560,622,898,212,591,931,583,045,445,937,221,706,
720,420,021,777,212,275,739,693,976,781,687,544,582,570,065,440,212,979,174,
875,625,656,451,907,052,444,312,630,690,297,647,840,656,748,484,774,260,478,
097,950,788,351,250,365,352,202,767,014,887,108,572,425,516,708,447,185,975,
457,533,852,984,795,396,044,037,977,318,661,099,081,917,731,636,955,047,117,
144,232,719,443,121,221,421,831,763,529,232,520,147,689,044,044,032,041,784,
643,189,418,603,380,835,627,061,740,990,695,999,132,794,624,082,472,880,092,
313,102,126,900,244,595,652,280,173,043,110,351,940,345,410,560,707,594,512,
731,320,347,320,626,284,030,420,127,246,776,838,713,601,013,015,088,041,498,
017,735,384,935,236,253,921,549,746,377,637,036,744,266,995,218,548,597,518,
359,469,102,419,545,663,273,580,599,519,939,220,283,551,901,356,969,213,314,
316,061,359,074,636,993,803,972,843,317,844,853,761,770,510,220,429,233,461,
936,260,278,831,901,917,224,076,926,086,985,960,155,089,115,419,594,031,411,
222,490,222,209,641,067,023,877,565,807,478,679,268,720,275,002,744,825,109,
890,798,347,647,382,185,127,789,918,470,602,173,080,061,286,627,082,203,055,
231,752,152,744,032,990,376,954,628,572,441,904,838,655,078,005,645,124,159,
047,336,110,594,384,635,001,525,599,967,134,053,705,659,236,581,288,054,254,
193,654,999,699,387,062,367,357,980,842,315,227,965,626,984,486,668,814,072,
154,874,925,567,134,197,164,355,655,201,667,595,867,032,946,971,119,004,453,
763,691,139,271,512,069,913,996,275,125,466,924,587,812,501,556,685,130,680,
236,095,839,677,174,867,449,454,458,274,150,069,504,539,182,863,309,086,185,
945,716,376,900,683,215,050,379,224,309,616,363,740,411,063,456,413,467,818,
166,829,487,701,425,188,463,053,487,242,608,860,759,526,023,409,520,374,995,
322,432,754,707,093,615,405,173,192,167,132,321,106,832,250,661,709,221,584,
003,562,916,196,221,259,498,781,462,108,200,266,552,213,428,328,754,348,606,
557,718,253,253,723,597,465,476,336,539,130,560,143,296,208,478,873,149,017,
823,537,033,308,671,187,390,059,642,236,586,607,237,418,514,522,609,218,411,
074,914,869,992,716,285,893,472,513,377,048,297,325,507,545,678,032,946,407,
729,673,855,886,405,954,299,058,489,612,348,075,084,848,111,152,314,997,553,
749,064,422,077,038,663,596,791,056,636,874,870,533,455,334,019,389,410,949,
238,657,071,657,394,024,289,800,754,736,229,655,644,731,813,816,667,800,652,
763,426,730,277,184,351,255,973,111,823,653,904,059,190,337,990,674,681,137,
313,175,718,246,305,501,883,552,409,816,420,003,487,893,905,159,227,240,307,
628,688,951,049,480,950,186,544,848,536,307,727,919,870,977,151,758,786,708,
249,491,968,825,438,845,105,474,834,377,695,566,774,588,958,296,138,512,209,
305,354,310,436,399,590,845,830,358,280,097,022,091,529,902,068,187,712,005,
984,707,032,508,582,922,364,321,050,877,714,421,536,288,041,664,237,277,762,
353,273,373,975,841,841,785,726,102,272,980,231,153,037,804,131,472,866,005,
360,012,960,345,158,672,086,561,821,355,054,473,733,023,900,992,712,548,303,
780,609,010,299,121,248,595,461,726,259,306,970,521,740,795,798,659,886,177,
075,074,101,651,028,814,600,416,823,070,692,376,980,471,705,353,688,991,014,
935,843,845,044,965,967,716,351,911,849,815,370,043,750,326,825,307,594,880,
009,594,493,853,692,657,447,126,559,758,254,438,887,270,533,924,103,205,697,
397,592,027,403,862,488,514,664,352,592,087,192,242,053,417,137,483,089,349,
689,280,563,597,687,904,185,430,146,520,509,050,215,256,770,816,669,851,630,
072,675,892,504,845,423,143,543,321,066,263,385,841,921,958,024,787,354,083,
945,618,105,903,772,409,686,745,026,998,449,455,136,924,295,215,475,557,604,
562,128,183,336,767,191,225,727,861,711,994,205,270,021,932,898,969,058,951,
997,413,233,618,099,778,975,819,137,048,347,819,033,263,682,709,732,262,698,
552,468,959,205,485,466,775,400,833,675,156,136,867,499,173,841,374,424,148,
335,499,379,842,478,346,205,910,207,588,336,625,990,195,046,299,344,042,865,
696,475,268,149,985,906,350,830,658,103,089,656,151,778,105,901,896,798,863,
069,516,057,733,385,402,596,318,586,136,891,110,487,373,482,351,035,724,582,
730,144,657,824,852,065,794,679,115,738,603,231,817,622,083,339,433,811,511,
557,114,235,479,157,519,398,743,370,447,463,776,844,013,784,130,265,578,216,
208,306,137,219,947,836,423,879,489,941,266,780,064,357,285,025,697,336,911,
824,340,237,448,380,656,980,239,193,837,928,001,377,490,372,360,442,867,340,
067,036,974,939,766,482,974,035,744,617,110,657,627,469,451,049,894,469,186,
512,689,133,620,293,192,182,151,506,077,424,126,985,948,038,697,255,074,527,
329,491,329,449,254,251,878,354,898,865,740,492,204,465,777,502,977,406,122,
136,441,712,795,062,437,909,749,764,057,123,486,401,928,535,454,708,765,822,
796,626,635,430,932,236,240,807,069,255,348,065,248,432,699,700,511,085,816,
534,796,449,250,605,334,948,291,261,919,556,561,369,640,177,708,089,911,741,
758,222,063,698,391,742,406,613,290,096,106,547,840,577,730,872,533,211,667,
510,924,975,232,455,511,518,312,152,576,076,223,173,777,791,175,041,820,169,
173,791,786,529,222,516,400,429,481,362,659,639,310,273,896,388,773,928,778,
459,190,772,944,949,834,564,445,205,160,369,956,041,974,347,264,933,618,695,
716,803,554,862,912,604,801,871,463,178,879,474,776,620,562,294,727,204,113,
239,474,161,165,481,385,536,638,561,717,246,147,375,429,655,119,601,618,253,
101,473,379,727,017,995,457,376,214,326,449,638,576,822,800,231,525,123,340,
414,379,150,420,645,024,825,630,143,364,843,655,593,542,483,892,748,186,173,
815,598,516,244,125,327,488,477,744,694,588,605,116,093,699,864,187,499,794,
150,860,040,437,630,042,096,788,508,280,278,017,584,302,820,764,476,419,418,
041,654,326,318,658,566,936,749,256,945,938,106,855,883,850,738,536,112,772,
850,964,123,069,351,583,187,243,210,859,946,534,430,986,799,365,404,606,534,
266,372,746,099,375,348,156,284,104,447,688,710,642,412,582,237,458,988,796,
384,952,460,153,042,210,933,100,123,027,224,379,143,862,199,670,361,080,482,
077,711,015,883,520,754,383,329,331,718,320,455,307,228,565,007,599,948,777,
934,747,249,022,883,275,927,359,722,284,070,008,372,894,668,213,173,928,084,
828,399,316,628,215,435,130,030,570,004,638,329,915,370,677,419,456,137,305,
391,167,074,917,607,860,565,541,074,459,646,772,021,610,930,437,016,367,940,
907,044,270,898,694,591,106,408,725,967,441,424,208,055,624,294,304,041,854,
828,452,015,612,329,556,379,429,595,721,246,728,023,449,000,133,280,882,634,
792,895,236,131,556,417,458,557,047,822,067,863,757,386,114,950,850,876,238,
357,147,258,481,312,683,118,777,456,174,505,373,826,199,990,832,591,633,221,
657,058,721,665,162,467,186,311,607,945,249,020,668,843,766,269,666,406,694,
698,958,591,151,803,822,792,851,972,674,764,182,650,796,624,550,492,143,463,
942,263,125,205,472,460,977,560,240,301,800,639,291,425,994,673,942,994,716,
483,669,038,008,827,664,251,903,144,369,128,302,517,700,393,001,131,899,305,
135,991,533,143,481,118,930,153,946,353,552,277,778,612,106,087,968,481,842,
174,070,339,401,371,746,697,401,913,815,199,706,227,459,435,996,943,296,985,
602,687,895,238,080,603,201,546,530,546,144,637,381,594,726,707,895,669,384,
507,247,749,712,111,908,720,678,504,961,909,674,991,448,799,312,002,905,497,
967,217,678,163,498,428,490,469,954,700,120,031,664,879,504,526,361,333,797,
441,288,513,803,917,673,611,329,319,280,825,818,617,836,236,980,889,616,163,
299,050,128,113,304,426,967,618,540,900,642,304,688,607,863,013,028,102,355,
812,965,580,988,359,428,872,197,974,985,765,213,286,280,132,941,330,869,779,
873,624,566,742,293,125,914,025,989,417,543,329,444,169,194,497,464,909,881,
428,058,650,247,636,179,434,728,895,280,056,598,881,758,898,409,561,248,549,
320,977,887,466,401,910,161,756,055,783,326,718,983,620,638,827,242,271,227,
042,582,374,653,943,753,993,782,211,152,324,347,265,645,179,964,102,809,691,
347,872,679,773,648,472,860,022,066,532,199,835,843,650,141,159,078,550,955,
464,462,330,592,934,694,262,200,970,440,606,721,702,349,537,117,777,938,082,
575,446,546,064,107,039,843,163,994,241,560,741,628,023,283,656,372,573,283,
452,985,254,737,337,890,445,391,441,748,481,565,761,808,365,293,983,149,641,
910,153,293,532,141,242,201,898,010,122,450,657,950,927,548,957,609,796,386,
771,337,096,794,789,856,881,790,471,076,217,333,617,314,751,046,729,023,732,
614,740,063,899,288,271,760,922,052,466,503,025,868,996,707,882,714,172,455,
598,298,262,231,045,593,955,216,547,776,941,089,506,746,495,271,991,681,210,
599,015,477,024,073,431,948,634,811,657,690,742,669,916,910,304,527,131,295,
558,254,643,409,221,197,636,046,806,173,171,063,584,922,847,013,661,746,064,
526,619,314,604,291,175,506,568,376,417,957,136,885,497,220,482,829,801,219,
412,232,072,826,285,402,231,252,019,999,696,877,572,129,483,511,247,141,673,
772,187,250,883,493,771,309,828,748,552,505,306,564,970,005,531,256,026,785,
465,619,207,185,702,687,604,253,344,903,757,026,230,894,396,110,326,046,244,
897,815,236,032,859,488,840,470,979,764,385,305,283,248,159,233,193,368,785,
708,757,415,797,426,880,360,324,366,713,169,370,430,787,471,400,045,710,876,
900,354,162,072,919,036,802,831,899,030,691,052,955,593,803,517,211,063,415,
745,302,591,677,061,763,457,829,790,961,308,143,016,822,513,088,211,101,667,
487,770,188,468,244,861,532,593,027,155,305,473,197,972,383,567,391,353,990,
450,253,383,459,822,931,626,511,285,891,345,051,180,238,073,888,861,894,095,
563,897,403,364,915,875,832,863,023,783,772,508,269,375,171,919,224,463,646,
329,752,783,430,673,929,450,505,670,520,943,200,746,574,876,657,074,812,902,
994,858,790,679,856,307,263,068,475,205,304,029,769,276,096,456,791,027,337,
696,628,048,824,859,145,764,395,516,774,052,285,089,118,633,512,164,292,695,
198,456,348,923,524,944,422,023,921,313,429,272,353,157,765,085,712,585,388,
247,784,758,044,569,899,283,425,661,344,082,825,514,191,814,525,139,351,472,
512,427,872,188,547,279,760,214,867,925,768,576,630,592,823,684,205,960,543,
014,900,349,887,204,730,575,206,882,976,374,524,446,450,065,190,878,530,573,
985,160,377,028,753,208,752,137,113,148,819,445,866,129,426,647,493,780,968,
483,147,243,240,236,188,558,456,103,741,390,799,988,431,246,662,555,738,239,
174,481,573,699,564,942,445,291,794,856,264,795,423,299,842,516,108,141,919,
118,977,685,658,728,201,098,059,219,108,877,983,082,246,137,446,970,418,909,
558,541,420,334,347,642,073,784,491,907,896,429,953,707,061,757,790,681,629,
922,674,527,850,994,456,344,584,573,817,542,688,727,589,455,622,420,068,460,
017,753,745,930,780,139,526,321,565,945,448,730,164,447,109,156,360,766,505,
965,810,603,988,974,397,206,660,068,040,971,920,969,758,215,398,985,727,049,
476,730,744,955,997,251,231,225,552,742,839,420,192,417,824,743,681,501,907,
260,635,960,971,097,911,347,304,868,563,921,137,317,515,286,730,969,066,665,
928,918,741,052,231,722,488,365,042,211,350,074,490,187,995,854,682,356,265,
512,833,927,636,789,739,876,283,181,247,443,198,258,029,610,486,446,767,642,
012,785,051,356,761,103,683,186,063,167,752,086,186,790,858,992,799,869,965,
177,412,645,064,708,907,619,803,499,681,062,690,232,675,688,662,879,147,527,
231,292,547,757,238,547,344,457,061,441,111,977,990,400,853,951,452,919,220,
860,441,968,041,601,364,497,932,213,845,303,773,459,349,739,096,652,749,379,
388,675,320,976,306,957,445,474,245,380,637,609,192,153,376,670,857,583,146,
280,875,472,855,671,294,143,555,788,795,976,583,291,658,550,060,415,354,753,
934,718,686,182,757,369,616,815,164,734,118,808,842,113,711,773,120,115,178,
912,296,486,179,094,813,523,426,808,554,046,590,455,649,962,323,494,521,007,
592,365,364,313,682,608,674,909,691,925,473,859,854,086,612,527,966,160,441,
631,667,322,075,774,935,351,928,525,613,186,118,979,914,653,631,450,237,118,
055,619,965,307,607,956,280,065,552,168,035,771,013,242,501,858,457,355,173,
762,203,215,571,365,186,359,809,554,829,555,423,279,994,483,005,788,096,887,
215,089,791,473,277,776,452,272,883,608,755,859,681,209,271,624,921,317,319,
475,834,147,393,866,714,985,267,843,573,037,030,784,173,009,829,336,987,627,
133,331,447,435,121,510,594,609,793,785,102,887,656,143,077,281,495,401,767,
922,283,434,255,547,660,038,422,684,305,855,494,185,734,166,246,758,522,912,
624,226,064,997,014,719,068,004,044,595,793,801,634,288,102,405,928,528,547,
835,180,920,370,897,281,545,294,071,145,820,939,469,560,425,680,734,641,963,
815,609,063,219,733,710,620,341,754,143,389,824,200,963,097,449,162,976,175,
009,984,231,033,790,211,968,723,993,414,544,260,046,342,012,713,422,946,392,
663,568,129,817,452,734,698,482,664,222,745,743,897,693,259,331,250,441,036,
994,551,134,832,075,482,786,436,581,003,412,047,636,111,408,134,906,997,997,
049,909,671,596,868,218,336,895,240,539,991,637,510,430,673,034,332,955,776,
076,864,517,951,112,372,745,111,801,771,559,525,737,869,000,988,286,904,650,
091,688,492,131,409,070,788,838,261,372,473,284,767,633,725,201,618,888,841,
016,509,000,499,944,405,774,576,033,945,731,389,565,582,576,584,179,551,718,
008,424,327,227,608,443,172,676,971,201,868,873,097,577,358,967,097,335,030,
591,602,269,459,256,165,319,100,586,870,995,917,296,678,305,360,287,408,346,
224,893,915,019,959,403,734,275,177,007,461,599,725,312,975,855,374,713,863,
831,133,037,590,278,880,975,205,285,872,383,906,101,960,344,454,307,519,005,
720,166,705,575,889,317,524,643,886,596,231,758,585,414,068,084,902,513,643,
474,024,157,928,693,657,880,027,236,912,448,826,257,906,885,660,867,744,230,
405,893,290,034,261,788,415,003,603,828,081,369,979,382,940,659,433,737,670,
263,261,594,981,002,965,862,809,123,133,072,766,797,375,994,033,246,313,567,
206,927,564,709,596,394,343,464,340,599,159,657,191,658,350,877,528,479,251,
971,564,335,983,402,008,246,518,513,273,737,745,039,933,051,744,364,903,377,
794,017,172,887,177,514,517,305,146,987,876,335,345,641,719,377,920,487,423,
021,778,139,369,475,398,470,483,608,391,312,028,334,169,722,716,242,824,220,
014,271,031,110,445,250,854,320,007,479,496,353,461,650,869,709,721,373,079,
738,197,238,554,163,017,227,914,285,182,081,763,373,036,951,568,946,298,967,
434,742,281,782,040,150,144,235,141,735,003,057,739,934,558,481,756,714,780,
200,223,946,958,799,660,274,225,579,061,899,328,853,589,337,031,697,589,038,
358,890,642,964,957,389,522,362,152,177,267,406,228,042,639,189,538,755,311,
054,125,408,663,550,468,454,883,236,340,905,489,822,768,270,689,063,117,461,
904,404,669,236,138,705,662,457,808,413,188,097,817,980,422,138,681,704,072,
438,404,100,770,637,915,474,798,710,105,063,253,155,834,359,930,635,250,316,
617,759,409,246,889,522,753,579,489,712,100,215,953,040,601,191,362,964,929,
442,201,447,866,821,711,805,024,279,270,145,230,057,657,292,370,718,156,539,
887,464,946,705,697,838,931,404,773,032,530,722,608,683,604,862,062,490,585,
035,143,495,003,972,890,015,962,787,603,295,005,596,869,604,817,602,481,288,
802,161,381,724,965,589,503,697,182,991,325,417,695,823,349,529,663,136,103,
777,925,684,010,694,962,879,069,371,201,717,651,999,036,074,901,604,449,844,
715,476,651,543,942,271,246,559,831,283,188,075,207,365,122,040,469,652,383,
472,380,082,120,751,506,040,742,534,281,364,062,144,240,357,042,745,881,557,
951,716,092,693,443,216,037,676,578,532,399,268,131,416,468,089,777,420,225,
429,178,113,876,696,961,419,909,346,064,680,790,746,216,086,850,315,464,809,
861,800,221,300,182,210,313,511,582,443,772,031,174,135,494,245,746,125,000,
896,067,446,728,736,979,309,317,477,114,121,004,529,485,722,875,523,206,938,
403,118,633,815,784,664,071,557,124,068,124,293,056,758,476,094,331,709,228,
108,967,502,484,674,819,955,999,503,054,284,700,889,933,523,615,756,425,904,
380,366,178,905,786,107,075,423,376,545,458,676,514,296,526,083,663,639,944,
948,242,846,427,138,929,801,489,732,119,923,402,912,083,970,867,574,581,011,
860,528,180,542,670,858,508,276,433,919,259,244,418,239,819,751,859,856,378,
209,780,929,596,990,023,580,578,529,330,656,271,104,124,109,436,165,278,357,
893,021,219,436,339,580,332,439,025,928,499,167,187,248,172,951,690,401,360,
634,152,428,632,184,824,769,309,919,145,960,779,907,370,192,630,247,669,101,
675,361,659,279,756,434,477,508,844,759,959,906,340,429,735,887,857,028,476,
748,480,346,794,880,600,668,716,115,005,205,786,158,967,217,463,513,762,829,
349,319,291,480,177,445,864,983,812,176,750,006,343,763,423,808,076,354,445,
390,614,717,472,086,943,892,975,570,947,236,322,140,395,832,606,431,622,343,
773,874,036,933,810,116,417,354,231,506,570,248,565,537,659,542,475,010,230,
752,999,388,522,802,231,252,488,696,586,262,688,773,073,831,050,281,866,858,
357,845,356,730,310,551,425,648,563,048,377,239,870,914,102,571,362,254,374,
846,426,827,314,624,274,331,268,401,693,808,240,685,909,593,798,446,300,591,
292,160,914,348,905,413,945,711,976,791,640,756,402,492,199,874,138,584,728,
292,317,353,041,599,414,951,556,652,367,058,085,861,521,096,466,314,685,786,
751,504,255,611,913,779,864,879,636,162,778,328,679,278,909,295,006,743,781,
894,616,698,408,532,368,063,718,102,223,194,365,616,614,625,442,730,237,368,
029,013,954,199,944,803,242,155,131,360,434,668,098,876,027,969,333,027,327,
984,999,793,380,082,641,554,810,499,767,382,811,049,649,836,392,232,732,248,
078,123,476,971,898,351,467,310,096,258,577,693,442,176,338,921,806,227,513,
898,222,670,460,315,242,371,158,267,792,637,382,544,935,057,933,001,572,146,
938,366,287,250,075,911,894,612,401,981,963,789,990,920,639,049,577,223,590,
431,428,023,393,676,076,154,397,685,757,076,101,494,098,200,980,523,759,282,
018,565,874,031,672,523,107,111,947,585,458,597,271,100,831,240,518,279,063,
226,161,061,933,364,645,204,496,901,587,184,473,854,578,262,114,472,518,493,
654,052,658,312,343,621,067,133,306,855,049,180,203,295,212,465,166,035,097,
199,642,955,014,589,117,207,029,611,211,809,663,041,386,731,383,165,768,630,
930,313,663,207,279,550,118,940,432,494,108,079,111,787,672,652,692,168,353,
499,449,780,225,324,930,507,438,591,577,077,789,035,778,709,672,058,723,845,
910,308,865,873,690,873,030,188,645,404,182,108,542,539,332,974,470,783,144,
338,394,774,741,930,978,387,150,537,718,845,381,541,536,200,474,112,577,940,
730,779,078,139,087,918,127,057,973,857,506,672,290,798,698,850,912,220,686,
269,977,638,831,473,604,741,680,761,907,210,719,867,752,044,165,589,271,679,
773,835,337,201,623,704,856,027,350,410,690,902,856,631,997,240,982,996,229,
143,627,769,524,081,939,787,255,958,281,639,747,334,688,113,875,544,348,956,
280,383,983,268,968,327,246,217,877,071,849,205,704,215,521,999,489,643,661,
581,258,459,781,560,891,873,852,823,135,551,341,400,941,304,032,141,795,835,
256,528,096,036,743,652,852,337,141,956,174,425,494,628,299,237,299,524,779,
321,035,772,709,142,119,028,451,625,959,627,186,755,427,450,307,544,223,963,
864,345,295,420,511,222,858,029,317,328,582,016,206,354,776,467,402,201,457,
974,836,587,392,981,333,041,646,540,430,423,860,363,142,357,259,021,670,855,
892,479,740,012,412,594,151,614,841,311,977,613,794,302,544,927,787,815,215,
866,281,493,561,710,676,056,097,720,901,856,960,401,528,511,455,863,179,224,
637,151,067,264,464,261,905,600,970,954,587,825,323,863,065,541,483,791,666,
804,630,222,133,096,950,393,113,084,175,927,932,917,008,022,063,530,106,911,
569,120,309,239,125,319,184,478,080,781,607,329,694,657,417,572,582,213,051,
036,181,266,844,298,603,197,055,845,088,054,460,580,408,705,795,685,909,077,
255,459,308,986,528,837,662,043,617,615,512,410,849,048,415,117,937,992,687,
764,248,068,591,311,655,746,312,094,649,319,684,758,511,891,133,830,110,186,
958,030,813,922,890,046,490,621,882,868,539,163,153,110,820,696,362,580,939,
096,233,904,512,681,116,115,140,605,164,699,555,229,511,393,635,911,518,034,
763,622,847,718,110,355,605,252,448,083,650,804,906,121,300,566,059,337,411,
868,738,835,439,534,459,231,199,899,628,511,475,012,419,064,448,686,650,672,
654,354,501,620,844,714,558,378,074,224,534,916,798,125,163,861,882,321,691,
137,304,536,160,677,815,900,150,024,308,548,151,745,817,585,808,841,095,842,
009,801,808,772,063,835,201,716,051,169,580,808,685,064,123,897,855,056,439,
271,159,761,466,396,259,791,477,635,904,609,971,060,032,877,305,107,460,519,
539,968,884,518,875,102,451,238,872,597,455,140,363,397,747,648,095,590,294,
583,947,145,954,495,651,549,317,653,242,452,326,009,508,752,528,140,656,654,
850,612,003,933,504,241,594,485,054,037,551,886,559,353,762,617,101,007,859,
001,060,592,189,385,977,710,432,992,365,712,730,319,161,998,805,350,854,104,
437,648,730,092,344,069,035,499,584,173,203,195,377,238,881,756,267,240,409,
027,575,338,291,039,994,810,786,624,506,608,690,638,409,960,890,352,074,257,
321,760,133,658,121,614,055,536,630,651,828,635,672,145,579,008,602,340,113,
910,491,632,453,952,795,411,218,635,973,739,490,363,779,834,878,500,508,596,
275,815,122,439,503,119,442,163,245,476,876,026,657,008,504,120,720,878,652,
010,206,048,912,103,693,453,807,317,019,146,470,052,199,278,905,193,405,639,
981,387,360,969,065,911,372,520,572,395,832,758,328,421,647,411,090,146,520,
105,982,954,737,925,616,999,077,667,537,020,454,325,460,503,750,509,851,185,
243,819,020,638,132,730,204,657,696,455,235,576,722,660,458,101,992,065,811,
632,658,570,783,076,063,648,557,068,600,961,834,436,928,804,223,528,549,499,
486,747,641,204,613,733,730,962,306,297,704,745,348,892,761,857,764,468,942,
878,812,244,812,993,364,220,592,849,726,517,350,149,863,644,918,374,722,007,
492,637,512,546,267,866,419,205,617,147,440,515,379,857,055,940,345,879,084,
467,691,109,963,835,891,284,647,036,428,880,388,433,947,449,426,136,882,293,
639,460,212,424,004,271,763,676,010,577,642,898,132,225,128,089,770,440,738,
699,317,537,091,324,189,111,778,454,350,051,817,232,469,849,784,181,710,666,
972,584,557,389,960,919,894,134,610,451,325,672,193,818,838,242,882,868,990,
878,446,898,073,735,093,369,499,685,319,022,876,474,739,481,687,172,652,453,
893,030,595,845,881,380,343,274,960,703,540,737,222,537,912,854,081,426,766,
609,464,952,294,421,961,294,060,143,875,213,000,554,143,549,059,724,746,123,
907,196,918,499,559,180,111,250,413,588,641,978,115,025,709,771,143,494,155,
089,271,684,683,161,905,251,699,879,450,925,121,735,180,352,248,432,331,806,
168,236,250,006,972,145,713,810,892,226,540,242,036,603,548,005,073,342,733,
902,903,562,748,338,473,767,640,930,583,628,495,796,906,372,270,794,709,991,
799,750,211,492,177,854,848,424,766,602,253,224,296,941,306,818,320,693,679,
752,537,622,415,058,254,809,164,297,157,409,687,730,630,525,267,897,512,126,
883,087,147,941,144,660,513,807,613,672,789,265,216,159,651,451,589,439,172,
402,408,322,605,493,541,676,415,956,468,724,576,356,360,989,356,373,438,210,
809,272,125,478,594,845,051,044,580,717,142,574,006,984,823,061,159,060,326,
260,115,489,912,130,812,081,637,753,338,514,994,520,242,588,653,555,753,790,
961,220,587,854,113,099,648,069,332,547,633,283,213,581,126,332,003,543,047,
449,902,132,933,247,824,136,791,804,021,608,867,853,535,365,503,013,615,715,
141,300,255,494,166,370,479,514,642,435,476,178,309,284,174,161,033,352,840,
417,004,539,164,178,045,770,236,285,322,327,903,762,288,640,939,109,353,141,
470,848,233,503,313,941,928,153,279,136,710,698,481,270,294,788,488,937,699,
946,091,927,757,147,798,462,885,106,175,929,294,998,664,674,742,806,995,096,
415,946,810,648,846,695,612,678,963,385,318,149,328,108,553,350,189,214,315,
890,991,298,534,309,511,781,071,103,149,190,296,930,898,074,705,613,782,895,
489,621,305,720,109,565,740,153,650,608,487,808,894,953,993,230,763,444,358,
593,284,776,263,749,079,404,512,769,182,062,104,050,239,226,738,888,806,559,
146,739,883,102,051,883,284,556,715,697,025,435,768,525,735,740,541,322,303,
970,676,987,874,024,781,199,084,794,389,247,805,593,983,417,864,796,141,011,
445,327,519,149,509,471,118,311,719,365,821,315,296,359,470,793,364,080,494,
684,695,790,855,345,540,768,233,356,510,999,476,050,029,242,621,158,163,512,
060,832,331,222,230,906,431,304,965,064,039,543,248,832,038,229,444,940,636,
655,966,562,570,538,565,242,146,002,763,684,321,406,351,743,642,070,990,690,
186,096,122,891,876,687,858,333,434,428,242,733,454,742,909,339,097,678,436,
119,944,760,264,702,252,834,666,328,907,608,618,511,357,884,903,904,830,167,
627,438,015,608,603,192,671,565,582,759,164,930,912,518,592,104,749,050,515,
991,627,871,469,593,279,299,255,358,730,093,374,479,308,759,005,110,697,297,
779,048,802,592,313,692,442,422,359,402,849,397,721,985,785,090,889,866,817,
018,099,477,617,545,200,886,545,657,102,820,028,150,911,008,644,957,761,845,
039,832,041,272,983,683,398,027,221,575,188,968,830,522,139,609,723,502,460,
712,148,364,231,259,896,999,345,448,343,315,753,487,385,917,183,222,957,393,
050,723,772,221,947,615,888,735,910,941,580,405,825,147,105,876,787,874,228,
676,340,987,111,726,855,333,680,157,311,803,668,570,078,502,343,835,419,847,
489,894,988,901,634,117,286,805,256,804,910,017,403,250,175,098,741,407,728,
104,771,771,678,646,279,958,913,824,747,682,436,813,294,214,440,872,499,781,
508,281,550,509,894,772,829,924,985,472,379,776,236,875,195,361,459,872,469,
966,881,380,799,283,180,738,791,748,350,068,676,853,604,545,805,960,349,339,
614,667,849,851,161,191,087,170,182,930,264,794,377,960,511,588,178,851,349,
861,233,365,091,226,736,168,315,660,779,340,805,105,265,679,950,177,552,810,
366,419,658,234,044,572,658,999,680,040,419,892,704,296,659,990,429,976,714,
124,342,430,524,380,465,983,921,241,357,822,134,666,008,389,898,121,403,375,
598,204,898,625,265,404,299,179,484,343,712,565,000,803,850,347,348,916,524,
621,443,815,731,386,059,155,777,514,902,066,625,036,819,707,797,775,763,496,
360,600,108,010,214,701,323,442,272,522,421,202,897,016,363,080,644,009,083,
658,353,076,270,651,675,572,070,270,692,619,018,938,670,486,144,171,554,211,
076,040,508,767,948,043,441,837,062,638,573,190,141,355,025,903,370,614,922,
643,365,419,149,059,664,054,014,192,345,126,350,394,509,243,322,199,506,631,
354,126,527,223,391,591,956,355,329,038,880,600,735,456,399,538,512,918,096,
739,883,224,356,651,618,212,785,940,943,588,916,133,281,163,352,834,700,125,
345,266,165,554,179,609,088,297,661,359,426,991,343,247,462,070,579,897,794,
064,735,472,856,322,773,879,453,185,748,161,741,281,122,985,909,126,361,888,
713,553,131,658,279,696,438,485,922,282,498,256,185,109,270,812,303,666,370,
109,893,175,168,545,143,963,705,761,702,961,307,853,013,072,906,488,490,990,
170,450,360,956,695,198,811,147,189,620,807,591,205,786,707,513,875,877,710,
488,354,939,923,893,804,790,807,619,068,458,410,179,185,927,332,249,770,937,
831,416,087,274,068,590,599,905,430,049,003,431,938,387,272,034,831,006,153,
097,363,363,301,202,272,701,637,048,427,476,580,620,009,193,451,371,833,485,
223,137,964,722,705,284,328,762,759,373,354,465,372,070,863,337,878,894,164,
455,284,291,168,612,865,740,684,886,598,719,771,777,914,825,550,278,015,505,
286,146,931,397,177,449,593,694,879,161,930,849,268,493,213,003,079,468,082,
972,558,748,848,251,728,467,612,073,235,508,026,420,673,066,346,056,464,944,
728,535,182,596,832,341,018,286,520,168,964,827,065,952,069,025,474,993,144,
759,605,301,047,809,295,070,661,906,400,667,400,176,106,470,780,042,688,643,
043,495,746,089,419,122,637,666,976,763,032,675,077,194,489,080,272,084,789,
735,439,091,228,176,181,987,376,275,033,621,490,819,030,662,030,609,606,909,
637,650,681,730,570,420,596,467,690,840,279,379,908,460,094,337,504,216,924,
541,540,687,425,853,863,938,520,524,356,995,956,700,649,784,905,830,955,699,
191,434,134,809,574,598,061,672,654,989,463,358,841,247,774,889,072,107,806,
943,098,190,018,906,135,024,600,903,283,636,961,857,260,805,705,257,274,358,
792,561,800,005,668,086,773,698,218,854,341,723,054,296,286,619,161,374,450,
362,095,572,985,482,464,713,319,259,422,177,711,554,377,968,280,286,074,613,
546,091,153,313,212,408,830,235,709,235,074,636,827,661,374,673,243,911,053,
392,596,313,543,783,289,022,667,228,720,579,365,031,384,371,945,522,499,917,
763,970,858,274,100,685,448,283,897,274,380,785,975,094,323,984,591,208,289,
582,497,333,375,176,044,108,470,970,230,652,621,936,860,888,166,417,055,978,
725,077,095,425,504,141,500,076,832,093,765,491,342,046,951,612,517,982,273,
627,521,140,062,604,460,442,372,460,444,349,381,709,536,831,919,608,013,648,
178,346,437,008,206,910,502,794,516,504,732,210,592,459,298,234,744,294,845,
293,984,582,475,064,513,012,830,705,815,764,766,056,095,473,098,979,016,466,
915,671,185,418,658,042,295,815,160,830,058,606,623,012,203,442,859,347,267,
621,092,113,717,002,662,241,702,682,967,782,974,908,864,861,433,638,784,792,
042,697,593,300,276,728,258,623,926,664,021,348,953,981,728,479,439,881,151,
044,096,227,542,661,936,614,324,709,326,504,036,874,845,702,225,892,893,157,
778,872,613,794,490,245,569,617,009,998,217,707,827,055,875,067,264,895,577,
943,670,693,904,705,366,601,342,599,196,923,877,894,700,160,807,146,347,146,
610,439,577,866,943,865,818,570,960,326,523,247,193,133,089,824,635,168,224,
183,231,817,148,564,482,574,302,064,946,157,719,350,005,768,526,491,702,331,
361,646,461,863,350,793,905,834,347,184,690,851,031,111,014,186,137,861,120,
929,477,754,211,891,541,511,421,862,580,713,620,380,016,784,716,169,958,281,
815,606,861,173,117,274,734,985,206,846,928,720,448,541,862,505,332,458,961,
840,317,310,434,652,230,773,132,080,515,020,532,855,933,210,829,376,266,948,
631,706,664,667,283,010,075,062,575,811,701,771,690,808,072,410,167,445,117,
086,339,067,496,638,476,409,063,774,341,613,685,018,310,567,813,256,068,791,
198,080,359,766,749,042,490,137,367,260,408,092,886,663,801,433,719,049,016,
386,304,120,675,251,925,793,146,091,368,250,607,344,528,989,973,346,997,686,
885,410,693,100,996,279,529,319,391,171,447,456,711,746,947,839,978,786,446,
178,001,258,365,322,995,766,507,659,510,198,914,080,445,489,758,292,676,300,
260,299,298,363,298,374,797,037,493,318,345,148,711,011,602,573,988,998,911,
467,050,911,293,479,721,584,205,527,695,057,471,604,674,029,307,871,976,450,
233,261,301,423,006,493,337,223,985,950,209,812,855,174,117,165,025,721,334,
971,135,122,672,488,168,046,819,571,519,207,252,811,234,020,442,115,284,064,
224,260,556,698,419,373,720,547,055,807,870,600,834,757,559,443,243,793,466,
271,612,326,554,090,544,856,856,815,442,856,762,010,843,499,992,627,468,881,
568,066,604,628,027,821,044,907,490,108,881,040,509,166,685,104,110,333,223,
304,196,333,477,090,863,167,243,924,073,664,858,680,744,969,031,985,602,026,
201,155,606,918,502,764,772,339,536,649,995,777,642,835,685,882,997,495,942,
960,509,512,263,630,611,631,493,420,458,082,188,937,432,034,524,228,543,370,
446,827,578,816,035,384,196,768,082,628,726,171,929,945,478,239,793,275,912,
695,725,656,216,495,549,968,692,194,049,402,141,260,362,531,177,594,268,025,
185,441,529,814,986,769,778,942,665,375,830,879,522,835,390,844,032,552,719,
582,085,977,447,341,145,363,306,944,995,743,494,300,182,421,284,837,419,873,
984,631,035,346,135,436,981,905,023,431,484,679,108,698,710,905,039,652,067,
079,382,346,792,885,439,185,715,671,127,941,944,209,663,218,844,904,866,984,
437,908,749,207,273,002,174,985,760,798,533,957,476,790,717,973,519,335,695,
098,042,454,002,578,358,541,471,812,810,570,945,587,743,203,170,850,645,111,
573,523,675,728,359,889,411,912,770,573,728,924,708,210,352,021,209,198,673,
200,377,336,658,065,375,631,064,212,080,154,945,585,508,071,272,123,997,442,
571,732,095,882,073,612,500,734,706,273,135,269,550,669,222,783,354,686,917,
657,058,517,275,579,219,727,003,291,929,782,607,976,711,500,674,345,738,320,
706,490,792,388,939,542,512,481,430,762,683,563,056,956,877,239,521,365,381,
451,187,184,400,062,842,152,436,892,524,367,291,414,069,572,613,552,241,510,
372,762,030,778,637,644,745,024,224,092,128,528,697,121,868,069,192,592,961,
465,215,579,828,295,721,433,901,479,803,833,744,011,911,412,739,804,608,937,
744,484,922,079,736,131,370,765,258,646,764,237,163,044,153,684,725,786,321,
268,775,652,265,651,552,381,112,995,640,959,293,370,255,115,369,187,841,674,
427,960,675,662,898,326,193,377,490,215,736,393,676,302,839,361,012,644,336,
761,803,111,735,147,769,740,905,423,047,530,838,394,107,239,118,960,400,499,
689,087,307,292,419,108,888,827,493,078,948,655,384,987,756,915,483,206,784,
705,742,925,756,134,533,918,797,470,541,418,499,529,824,243,888,008,558,003,
459,273,894,790,374,044,332,876,728,534,364,229,283,944,814,881,481,822,301,
514,810,919,941,726,755,291,535,043,049,180,941,802,858,457,067,815,218,928,
596,540,057,520,904,670,673,300,743,787,041,553,702,754,327,477,961,014,309,
890,690,367,430,697,217,047,186,634,553,741,306,184,900,428,249,180,535,380,
055,139,681,127,241,587,116,798,283,988,203,078,707,649,548,569,431,802,808,
927,952,066,803,312,160,833,090,818,080,059,041,054,089,146,196,589,067,333,
334,478,450,525,978,202,434,822,273,029,150,851,958,385,043,801,893,608,520,
417,844,071,667,582,063,040,438,242,729,298,793,718,726,049,866,325,640,594,
164,190,541,790,938,167,214,525,640,245,137,794,177,067,218,420,053,256,744,
866,256,888,550,476,945,736,403,877,258,324,883,403,473,764,924,569,392,028,
141,945,330,254,079,661,994,474,105,293,414,489,576,947,024,878,841,542,712,
840,333,955,410,729,701,181,994,738,315,951,219,299,079,757,808,360,318,708,
560,480,483,959,407,792,749,303,209,630,147,069,746,921,948,814,618,490,816,
011,222,831,660,348,670,234,301,967,118,221,238,571,504,422,253,665,652,578,
725,427,728,835,999,081,563,208,515,476,256,005,292,646,356,261,489,583,660,
836,456,954,752,360,283,986,749,414,469,252,037,158,718,721,456,073,425,319,
926,191,314,377,547,360,550,760,694,375,963,503,799,994,241,578,585,468,652,
543,433,931,226,066,732,177,853,699,675,166,296,458,037,511,704,064,674,325,
041,296,454,043,962,057,344,654,121,234,918,058,204,240,954,566,450,341,640,
419,047,590,882,872,258,339,356,633,701,934,370,849,338,815,820,157,542,186,
978,245,066,606,891,238,712,759,586,079,051,810,888,763,176,734,080,232,031,
248,428,386,778,117,969,343,289,248,471,691,466,810,429,985,352,089,376,923,
984,402,064,235,078,714,277,410,785,842,426,186,522,189,404,286,966,882,591,
363,655,934,587,102,776,784,339,384,624,052,726,651,805,781,301,099,051,015,
862,592,380,457,248,590,861,445,245,414,275,959,813,676,572,732,832,732,222,
694,160,153,041,975,452,439,507,393,788,133,748,373,039,472,322,745,416,738,
465,416,770,707,583,406,638,990,426,258,260,248,506,687,377,716,085,365,410,
796,592,455,671,594,613,747,300,490,108,457,530,342,031,260,694,377,193,803,
038,337,779,917,714,063,287,628,539,982,377,739,171,234,888,653,958,331,373,
339,245,198,977,136,764,368,980,018,640,963,459,659,657,664,547,285,454,681,
800,441,361,921,675,453,404,062,659,904,660,836,626,085,660,025,364,135,297,
427,299,851,442,567,247,810,427,930,646,651,272,622,413,158,972,872,945,564,
719,769,207,798,601,512,914,338,134,711,539,131,743,446,940,348,892,147,244,
996,391,774,676,242,674,943,654,488,208,409,604,347,829,451,253,852,023,762,
073,084,456,042,022,734,467,607,565,755,227,757,869,603,261,472,994,120,742,
800,201,456,568,274,643,543,668,719,987,085,805,653,411,081,864,836,966,151,
785,228,259,438,410,628,303,345,589,139,452,517,426,343,729,827,067,940,582,
243,771,449,814,922,394,229,911,312,497,240,883,886,507,895,695,292,674,255,
290,656,032,668,304,571,412,699,198,599,995,725,571,727,779,802,266,155,335,
755,338,786,001,485,429,420,790,692,200,628,464,572,271,377,659,192,823,068,
065,201,758,301,706,135,243,310,588,818,096,838,189,808,108,545,599,615,517,
013,199,399,870,573,545,156,490,459,488,217,932,794,752,083,255,497,497,625,
513,495,736,869,029,028,755,133,257,164,336,698,184,023,566,216,062,540,139,
860,415,723,838,192,596,418,674,016,380,944,246,489,934,057,787,576,271,540,
870,534,972,787,715,018,418,525,159,551,447,071,145,667,284,734,222,142,197,
639,113,394,880,531,805,235,967,730,761,905,772,666,192,040,533,484,139,332,
740,579,414,297,978,525,264,525,499,894,319,970,671,383,518,529,380,866,575,
410,926,344,808,720,680,343,840,810,586,670,190,144,000,053,126,901,879,012,
585,559,624,042,971,362,566,772,693,738,015,914,378,622,183,552,608,258,095,
689,605,608,638,573,773,199,523,412,370,935,768,239,205,893,101,922,914,050,
876,780,900,711,276,845,541,435,889,350,535,683,627,001,823,567,702,072,512,
694,360,488,442,204,188,175,648,517,590,183,829,385,709,432,525,387,241,507,
067,814,387,627,966,947,299,657,918,639,585,060,957,816,773,553,587,138,444,
882,694,613,734,673,559,319,050,115,784,260,705,635,975,018,671,187,226,849,
631,619,260,042,005,416,236,504,232,532,687,102,813,929,820,124,237,691,547,
849,432,169,107,171,723,379,134,855,254,929,902,134,654,253,247,660,382,878,
205,815,791,814,390,230,304,951,848,432,301,877,236,746,266,293,570,218,306,
132,117,158,537,391,324,691,034,347,712,041,685,598,277,229,812,712,105,921,
341,933,793,606,357,467,081,986,676,956,682,477,841,204,748,002,378,208,244,
917,537,005,028,641,099,739,288,391,967,591,014,503,302,132,154,783,648,662,
803,911,757,747,845,161,144,104,386,180,605,825,660,245,615,818,334,006,458,
862,166,845,225,340,285,745,934,721,360,950,382,376,995,292,461,844,285,510,
952,131,758,298,913,624,515,278,897,473,206,192,802,232,230,882,762,379,035,
047,020,567,774,382,070,119,111,530,966,226,704,406,568,939,938,624,170,389,
234,638,023,937,351,065,381,891,493,777,328,212,658,607,945,277,925,734,382,
948,763,433,051,808,063,823,731,979,274,022,955,040,162,087,419,071,536,476,
108,002,159,151,029,855,485,086,665,559,235,434,028,659,310,965,697,242,139,
650,796,480,697,349,929,396,676,125,396,009,835,901,024,339,003,327,255,399,
498,155,734,022,102,171,446,811,189,550,859,816,585,376,108,053,834,218,111,
505,469,771,365,378,469,838,720,275,733,999,245,253,206,387,410,891,404,273,
038,862,567,428,426,967,078,961,159,391,966,036,525,742,484,403,517,902,827,
314,616,082,833,635,232,771,364,722,152,592,560,970,334,445,940,394,284,519,
848,693,191,549,411,533,834,292,186,398,834,149,345,395,499,427,311,599,969,
968,205,021,167,894,508,321,114,196,197,452,023,070,091,815,977,312,260,949,
744,366,133,544,461,438,418,178,455,744,820,443,096,569,547,518,120,130,368,
834,749,024,351,917,006,403,984,516,542,305,941,229,235,781,384,281,075,728,
494,917,608,441,818,265,645,212,227,520,513,137,394,846,300,095,564,806,201,
124,582,140,123,947,543,454,056,445,583,108,748,924,390,383,131,423,637,497,
523,261,434,830,202,123,339,230,725,940,127,967,440,537,566,297,061,629,462,
597,939,379,908,269,780,165,839,626,942,303,702,853,686,080,597,015,533,927,
160,783,458,048,686,893,893,819,384,234,835,778,153,207,012,905,672,439,455,
689,345,486,742,111,274,086,732,444,117,276,347,590,583,999,295,376,124,774,
993,750,521,877,534,524,076,943,864,378,537,602,973,437,414,817,657,425,131,
269,654,722,727,531,857,469,310,758,527,672,162,990,234,989,072,656,794,011,
026,033,475,524,217,041,412,352,479,450,544,035,915,326,174,945,936,523,136,
100,603,500,089,844,517,294,067,209,225,591,972,927,136,956,356,236,472,283,
201,504,967,622,651,634,435,163,898,327,230,266,959,407,768,198,085,979,521,
534,099,756,425,769,522,964,133,148,934,491,632,588,054,430,524,970,739,205,
054,123,592,792,063,276,303,627,455,838,168,911,378,434,609,173,007,067,387,
723,726,750,350,300,043,222,779,488,600,571,786,525,811,711,845,247,471,483,
509,494,680,106,409,673,445,583,472,311,434,453,181,153,621,901,434,596,347,
640,640,862,297,756,706,003,875,927,565,536,699,129,906,279,080,338,185,871,
163,386,588,875,239,707,606,591,430,538,919,943,266,688,653,222,086,802,896,
195,432,142,935,229,025,002,118,562,972,975,311,484,315,744,635,898,251,113,
374,168,148,086,603,460,091,415,787,723,016,443,980,875,513,204,764,773,949,
752,869,209,688,601,987,323,086,125,890,860,997,124,941,581,067,225,539,659,
172,457,500,045,952,318,467,394,143,185,232,102,496,855,666,315,787,237,506,
252,003,720,551,350,548,137,442,488,925,736,750,786,602,710,705,649,598,536,
218,102,665,297,878,212,794,499,514,988,619,853,926,633,340,301,393,234,755,
239,707,247,066,555,154,851,975,557,023,456,703,991,907,963,188,347,494,989,
313,114,976,340,061,387,060,883,530,421,939,385,836,201,279,621,025,685,909,
865,422,365,213,930,537,562,439,604,084,459,034,811,838,748,682,401,307,197,
442,823,277,025,869,443,315,420,437,522,267,994,194,627,510,247,052,705,740,
869,475,861,515,978,370,730,039,114,534,962,036,386,817,079,674,011,671,167,
179,948,122,341,970,424,432,194,327,990,752,924,363,501,244,584,604,931,586,
487,209,433,108,427,971,923,281,665,078,012,790,478,047,501,789,623,463,738,
341,503,764,493,637,890,243,848,538,758,942,969,690,021,253,362,395,434,340,
130,773,222,604,591,117,360,382,793,687,099,623,269,085,154,186,202,418,303,
448,568,143,370,521,568,528,815,782,552,214,770,072,767,220,015,073,204,754,
327,415,349,501,921,391,889,741,590,535,704,522,821,379,866,647,620,007,003,
572,105,147,653,762,190,235,901,282,707,883,216,053,042,677,057,274,446,494,
148,258,470,141,415,481,278,791,488,837,999,051,215,150,668,617,918,211,803,
252,362,175,824,309,947,417,754,569,650,684,882,221,656,055,369,030,887,756,
484,697,693,364,831,505,268,259,347,834,115,155,963,455,678,412,705,144,464,
536,892,332,501,102,538,402,539,081,637,866,329,793,526,449,501,542,260,645,
093,496,675,703,027,536,890,488,101,680,261,524,538,373,994,218,864,917,513,
607,429,537,752,131,698,364,077,528,401,840,096,223,596,399,798,879,241,296,
412,528,064,212,649,878,224,386,023,402,357,029,351,943,028,134,494,651,042,
789,272,829,695,521,798,189,559,298,313,846,518,564,631,509,243,616,981,446,
445,548,609,680,557,624,391,967,759,800,953,665,653,051,593,472,668,505,312,
198,014,208,192,961,189,305,927,837,257,302,116,239,163,300,739,882,902,738,
356,232,247,053,502,810,845,425,872,394,959,431,825,712,036,170,977,730,689,
288,784,829,153,360,892,531,522,167,534,838,522,025,039,582,081,073,324,574,
555,787,094,963,774,840,848,878,763,544,937,426,259,429,120,434,957,782,077,
847,676,252,015,890,597,906,073,620,349,288,634,819,673,961,552,749,093,759,
642,375,615,457,705,919,341,130,619,262,658,519,724,458,531,426,704,242,944,
897,567,609,191,196,693,322,631,214,904,095,644,776,722,957,592,064,288,429,
621,042,957,263,942,133,128,039,013,317,828,400,394,079,048,657,138,528,836,
313,942,746,514,143,840,889,768,128,121,663,464,627,115,958,319,951,199,108,
141,788,987,720,448,759,772,265,072,306,164,843,432,016,594,761,175,730,246,
334,954,409,212,637,241,651,067,893,843,077,405,179,939,414,588,279,839,303,
997,776,459,981,835,656,355,606,647,748,429,698,905,217,745,983,579,876,664,
658,602,002,315,910,332,687,445,137,000,596,314,315,749,678,801,734,599,432,
842,377,777,251,396,657,608,429,844,128,261,648,894,541,076,788,891,163,863,
111,904,178,352,111,549,500,226,042,001,501,157,024,081,080,605,090,877,425,
657,197,993,792,120,706,102,294,797,253,729,365,001,914,291,548,680,890,438,
720,897,902,195,258,274,153,772,669,338,361,580,424,628,171,622,497,781,135,
825,590,503,100,829,029,427,550,077,289,539,212,767,652,794,444,507,370,531,
161,516,822,498,276,906,517,663,114,734,581,542,032,153,550,563,376,789,697,
047,990,773,659,985,364,156,717,532,418,927,359,469,554,043,460,111,757,016,
808,630,199,182,118,827,511,319,044,460,097,532,557,253,782,078,327,550,176,
616,053,435,929,863,726,952,968,702,033,891,292,216,765,262,534,481,030,491,
488,708,709,414,086,445,272,827,693,611,647,074,710,212,289,007,343,034,103,
945,188,922,718,521,437,419,638,632,623,189,519,516,719,308,900,759,478,988,
242,337,503,856,529,586,265,383,096,573,581,765,083,022,368,773,395,252,459,
289,201,073,070,589,917,671,721,269,110,558,984,338,031,081,802,909,811,890,
804,908,175,273,653,239,250,286,729,680,848,540,465,970,238,129,477,445,758,
535,826,836,129,457,988,650,124,556,974,634,961,974,426,009,020,022,291,279,
002,724,900,620,260,148,567,468,821,622,747,932,931,924,547,613,510,675,941,
292,910,304,664,311,520,867,053,676,035,003,637,433,526,116,370,715,142,581,
547,391,024,044,599,561,466,195,199,249,771,598,725,022,108,244,291,615,236,
472,450,093,701,213,660,996,492,586,842,385,014,521,805,869,896,640,717,288,
040,088,457,887,833,184,167,438,024,266,386,651,532,680,436,310,587,878,606,
524,811,530,506,292,343,810,702,922,083,523,786,186,637,950,807,222,037,096,
587,665,021,356,596,556,931,725,417,019,227,275,032,596,226,573,065,297,120,
640,952,309,618,777,299,761,530,766,716,011,795,662,128,343,626,083,930,140,
293,966,223,123,929,265,350,595,066,867,132,892,596,615,869,717,490,541,180,
669,551,955,075,145,613,021,337,223,786,446,777,861,595,854,776,594,651,637,
494,185,395,590,186,928,944,787,244,803,744,918,212,180,808,578,937,346,989,
136,434,735,033,525,236,976,638,933,226,717,139,417,441,451,474,241,405,945,
686,405,292,690,185,018,884,032,472,643,379,772,009,289,532,344,411,163,175,
401,784,062,452,358,009,786,225,129,696,957,337,403,938,767,420,996,515,782,
369,816,604,039,156,160,336,294,350,128,865,577,584,061,194,994,833,436,556,
917,926,707,626,280,682,402,244,059,021,340,716,019,457,559,346,149,767,584,
760,330,076,270,246,144,347,232,994,077,587,563,252,901,146,814,377,201,161,
505,972,089,582,053,782,644,363,197,562,599,305,126,848,333,320,375,246,469,
483,310,554,158,931,059,663,833,960,193,558,153,224,825,479,085,720,279,404,
296,621,146,663,343,857,711,890,884,763,347,711,021,046,667,045,836,214,724,
263,588,792,943,630,283,401,117,632,871,927,149,840,679,750,210,943,601,426,
079,185,529,433,114,481,221,539,300,423,910,215,328,645,323,140,729,309,515,
980,753,708,641,386,164,499,574,306,405,008,248,107,303,346,238,544,212,045,
707,076,520,489,420,898,649,164,459,728,252,147,181,199,784,315,398,999,239,
181,101,341,445,404,186,186,419,955,839,201,105,580,474,583,690,748,482,385,
799,556,692,035,710,669,102,209,370,733,713,931,038,792,221,773,510,697,830,
979,820,162,299,612,360,509,565,175,406,980,910,603,868,425,872,696,488,125,
576,940,129,693,680,556,326,633,530,616,473,808,835,011,516,134,954,922,606,
643,754,482,938,280,923,095,837,793,700,444,798,599,592,989,381,890,805,582,
722,256,667,061,295,167,955,527,155,434,169,428,255,200,866,358,243,358,225,
784,043,559,999,356,682,276,906,225,789,588,496,456,312,534,147,212,210,819,
092,395,127,745,603,287,255,576,664,963,779,785,987,974,027,499,526,686,239,
065,336,750,118,074,509,012,842,034,736,342,154,215,785,920,557,154,186,950,
674,815,060,995,240,409,263,241,861,356,147,330,037,384,489,911,067,001,739,
710,170,839,987,328,950,718,017,507,016,860,412,630,402,503,597,545,117,402,
597,272,387,612,430,921,735,052,013,398,089,847,186,152,145,131,454,161,716,
749,506,466,594,668,731,938,028,024,588,450,352,630,804,131,990,738,087,697,
382,275,811,338,345,156,018,395,792,723,488,823,103,444,195,137,701,772,336,
109,796,085,967,262,223,282,491,041,663,260,277,629,024,913,401,588,487,713,
032,271,394,537,420,747,747,862,350,578,401,902,335,397,398,768,477,972,713,
246,968,347,781,150,966,892,635,214,276,654,023,689,371,924,425,625,756,313,
567,581,180,169,999,230,184,885,297,060,168,922,865,718,604,690,155,708,040,
110,646,596,288,570,084,060,293,250,785,354,273,220,522,586,525,943,246,149,
446,575,618,229,963,328,745,991,574,975,698,621,874,169,214,206,571,384,511,
753,401,748,416,055,825,194,033,386,657,843,954,084,042,719,264,720,367,573,
087,506,088,939,675,313,864,317,626,042,251,177,218,617,770,935,606,685,765,
656,656,077,971,303,985,447,144,158,024,750,202,622,110,429,224,724,454,542,
708,966,100,494,208,558,277,525,051,199,308,348,085,830,811,543,158,263,901,
336,735,808,411,476,672,237,623,281,146,766,761,570,166,980,602,039,502,267,
025,637,646,413,688,936,951,039,110,937,206,495,984,463,551,776,098,402,507,
066,074,314,186,130,506,499,854,554,670,680,666,740,362,596,578,036,549,124,
159,828,474,687,026,167,422,180,796,545,855,640,161,784,783,267,793,917,341,
475,481,836,839,261,760,158,585,140,897,241,119,319,791,424,030,340,259,956,
475,818,464,821,864,033,728,520,195,574,744,843,177,651,652,357,675,116,918,
658,730,052,300,031,824,219,756,013,575,438,177,936,568,779,947,294,235,169,
474,849,417,316,577,265,451,756,921,656,595,585,959,728,333,501,163,089,026,
248,699,005,441,873,527,983,596,921,277,341,604,091,557,105,942,568,822,722,
595,500,432,398,278,888,642,334,985,408,531,503,000,014,439,604,250,654,557,
805,936,326,969,268,615,063,333,462,433,659,142,638,250,720,278,296,783,061,
353,072,847,939,318,089,189,321,615,927,506,956,968,721,348,844,420,519,611,
453,991,550,863,588,785,962,620,226,142,473,036,180,021,452,325,380,730,203,
155,711,927,513,608,152,828,000,743,499,824,974,279,591,097,023,304,312,511,
867,482,880,260,251,138,394,674,000,145,049,547,129,993,088,821,121,850,925,
721,156,880,038,840,218,997,253,748,842,341,490,300,723,946,701,471,738,329,
464,288,831,266,731,472,500,347,892,782,454,467,996,131,247,427,169,666,051,
637,373,951,078,449,677,085,596,992,218,294,475,157,165,446,206,459,667,724,
314,053,086,207,932,009,665,493,102,836,222,559,146,001,405,080,562,780,753,
881,119,641,539,833,895,142,678,103,952,681,246,040,051,230,421,360,617,391,
220,748,818,914,698,604,195,508,029,645,971,994,790,274,753,860,762,849,154,
735,899,722,207,431,062,991,875,459,009,649,669,912,740,402,066,272,972,422,
020,221,072,756,653,906,465,658,461,653,127,466,278,211,726,987,770,295,093,
317,621,451,258,511,002,779,306,096,580,505,884,962,571,005,411,675,148,758,
507,875,738,736,763,412,502,173,854,632,708,536,911,922,356,825,530,614,523,
153,640,979,182,488,687,488,231,117,582,642,507,905,605,282,820,817,178,383,
488,783,060,376,585,690,174,223,404,212,129,906,623,031,824,436,932,027,655,
020,835,545,489,174,516,668,425,631,178,774,121,757,102,638,764,572,010,244,
658,532,535,134,108,515,449,990,271,388,978,614,594,348,475,952,298,678,302,
000,421,756,811,134,180,851,361,460,605,924,922,957,462,488,432,039,043,406,
821,821,446,282,903,200,610,883,930,040,684,258,690,248,909,742,710,037,884,
352,062,923,642,162,929,671,693,567,640,926,012,517,305,956,424,741,784,898,
838,195,287,559,278,798,283,165,377,077,835,680,007,814,004,072,548,477,073,
800,488,576,127,103,246,655,541,195,935,848,738,410,027,934,562,838,239,035,
105,822,678,691,965,438,693,380,961,080,815,121,808,839,783,122,665,360,979,
988,227,979,763,033,551,129,303,577,773,556,283,072,310,666,846,624,752,322,
835,030,630,408,742,554,961,077,514,628,592,500,189,909,553,049,020,284,108,
940,387,972,126,650,505,914,842,859,746,327,200,543,228,086,555,537,363,003,
530,142,438,356,511,011,062,767,392,791,812,693,588,355,581,023,409,244,405,
766,890,864,633,139,288,057,770,256,759,074,084,406,360,298,976,252,044,197,
154,817,644,713,135,070,708,397,320,737,057,903,626,874,751,616,941,777,412,
732,615,540,435,851,029,378,953,855,309,655,607,147,485,859,330,988,056,542,
258,243,550,212,129,049,810,359,327,967,810,732,009,824,687,609,569,846,450,
018,146,464,011,302,674,962,788,697,387,843,300,057,601,184,100,058,429,887,
040,694,270,396,370,332,862,018,016,251,784,312,660,296,650,390,259,623,993,
837,067,904,248,244,398,839,599,167,740,472,620,682,203,779,291,188,391,469,
355,110,346,677,311,633,751,471,967,893,948,583,892,785,132,408,045,547,498,
101,225,620,262,505,681,209,803,227,279,054,994,108,876,018,841,241,073,003,
431,995,397,367,123,881,760,056,313,359,150,617,619,600,702,414,767,900,805,
158,960,312,484,705,655,897,022,931,949,932,482,185,687,290,372,185,409,550,
951,188,330,216,237,304,586,391,727,125,032,665,329,957,135,914,380,135,137,
793,562,831,305,420,157,668,275,948,301,911,572,191,930,050,782,550,345,750,
870,046,624,302,150,086,889,575,241,261,032,077,122,069,310,772,244,019,334,
164,492,558,494,169,746,770,817,664,370,541,661,452,308,057,206,341,509,281,
103,420,931,986,844,414,746,047,650,281,436,155,796,004,795,511,005,751,775,
174,154,917,917,445,020,461,397,553,637,318,458,469,758,094,345,065,091,023,
471,161,488,302,193,238,523,719,945,645,127,356,788,289,054,724,805,879,821,
872,124,239,307,002,827,006,465,384,210,819,044,001,737,933,588,585,414,672,
866,308,894,432,352,015,167,419,989,134,097,921,665,601,003,693,808,790,249,
826,018,232,921,780,522,324,742,778,033,641,489,810,984,405,975,533,246,430,
957,516,549,050,733,762,269,765,777,405,720,147,027,771,736,067,973,071,629,
016,713,717,934,200,188,417,289,079,260,109,631,823,125,278,467,465,769,595,
069,464,905,593,785,385,734,775,751,039,445,657,369,777,211,689,781,887,548,
215,348,820,288,220,728,760,712,784,692,426,514,939,945,971,686,889,932,345,
989,211,814,701,844,575,820,822,675,498,502,449,300,690,508,267,349,264,931,
733,144,692,260,747,618,681,698,478,526,807,971,949,202,443,567,121,295,696,
007,965,178,438,798,116,617,802,169,004,034,118,977,862,653,716,955,663,627,
603,817,729,750,354,750,559,228,177,138,798,016,907,803,702,117,622,759,718,
594,958,715,280,576,537,985,473,183,496,344,418,846,212,266,947,566,918,832,
619,582,076,426,260,281,812,811,236,624,714,738,032,725,911,672,024,375,415,
198,244,859,637,027,396,599,308,809,725,207,290,666,532,436,837,712,996,174,
369,831,661,431,143,151,612,630,962,119,017,904,241,245,422,795,911,206,143,
879,671,477,353,725,053,020,015,952,805,144,338,711,707,379,842,527,320,000,
836,863,356,268,548,573,646,123,271,200,914,259,827,960,692,943,508,412,786,
692,141,674,678,565,631,738,849,739,705,075,391,507,197,082,363,194,815,704,
908,054,649,793,273,078,695,686,391,458,310,044,019,211,377,266,615,555,188,
811,299,423,273,226,429,810,669,908,049,362,892,663,907,175,892,024,315,878,
930,974,550,052,881,077,310,400,703,439,850,121,799,518,924,732,911,293,700,
590,416,543,902,865,359,390,858,910,948,961,737,446,985,483,279,626,506,254,
518,023,450,966,698,285,685,229,909,597,000,715,799,585,255,573,935,632,431,
599,706,777,722,222,759,075,241,838,638,059,703,542,536,346,471,358,560,544,
134,871,809,060,051,201,781,647,273,759,686,004,161,230,950,991,047,231,258,
482,892,721,370,489,296,480,869,495,308,148,078,468,970,521,563,684,535,467,
799,759,515,671,068,877,667,824,326,410,551,898,675,072,044,844,846,192,037,
511,148,644,311,797,717,932,748,943,307,486,619,181,437,354,094,634,728,416,
266,550,583,473,549,843,773,525,444,133,253,368,556,687,838,019,288,724,430,
080,373,230,611,233,328,908,608,597,730,919,658,279,257,109,476,478,307,244,
891,546,323,099,027,876,096,455,150,065,793,602,611,032,297,124,565,658,321,
873,064,511,198,771,095,167,912,428,365,661,688,217,954,575,761,113,064,135,
133,004,409,165,872,840,340,535,700,986,673,234,612,454,150,975,970,040,174,
156,212,110,806,116,036,955,952,363,483,506,589,599,057,259,227,094,334,576,
581,545,044,456,020,431,616,814,072,503,939,373,764,812,760,793,676,810,315,
803,042,610,892,584,908,606,482,688,149,222,200,355,567,694,335,140,477,288,
128,253,983,690,046,670,494,625,793,959,774,887,001,833,044,370,159,711,303,
857,076,518,510,962,210,656,812,145,571,060,706,598,734,551,999,849,929,931,
452,668,592,481,134,993,437,057,824,381,673,570,663,694,075,755,194,754,732,
650,838,609,596,595,449,847,267,423,878,891,691,073,982,637,585,448,558,365,
490,070,935,903,089,364,579,195,532,472,804,762,839,849,523,818,050,249,158,
624,056,947,443,096,124,821,800,705,515,317,190,932,759,511,275,380,850,411,
951,218,526,940,882,487,581,077,099,602,270,895,995,067,732,764,491,940,056,
923,938,657,709,295,034,866,739,442,517,347,029,992,622,326,853,124,360,719,
459,628,858,822,993,155,688,900,276,177,471,877,694,463,887,211,808,435,978,
368,976,036,143,665,579,201,927,101,846,471,889,909,331,730,954,239,421,618,
073,817,703,268,027,148,089,177,002,263,582,291,402,485,174,400,994,852,294,
413,368,258,847,956,744,900,547,510,081,220,959,270,832,470,995,300,932,595,
573,817,411,481,735,493,621,039,165,556,333,844,302,996,237,429,472,927,212,
117,493,754,028,372,673,397,939,076,151,510,909,486,253,908,079,581,019,459,
822,675,845,044,732,946,747,270,963,998,773,210,214,042,286,473,153,075,836,
461,905,735,127,429,061,111,219,717,889,934,793,291,408,526,477,034,916,798,
377,497,234,213,679,396,175,624,736,526,191,639,675,785,710,454,129,025,420,
987,868,399,413,153,236,997,364,469,003,223,211,305,260,192,209,061,939,811,
116,975,692,336,610,959,019,214,604,611,874,588,348,663,912,212,211,408,711,
882,327,159,737,046,446,086,596,257,468,001,747,454,060,890,141,303,358,160,
541,296,286,760,300,251,491,178,426,060,867,920,351,729,350,936,778,739,053,
860,549,540,233,631,335,646,114,782,240,776,802,772,158,824,633,930,578,556,
128,770,810,269,032,723,516,772,616,846,703,870,622,606,011,781,635,952,195,
630,031,949,721,817,239,806,365,453,172,472,911,476,219,703,368,750,127,329,
149,043,048,967,173,519,362,192,183,165,102,311,071,831,796,804,014,918,456,
035,192,593,589,426,352,863,945,743,450,132,161,156,520,564,015,755,054,248,
772,065,716,628,048,873,183,106,180,780,899,770,008,033,385,657,508,601,639,
629,225,636,465,346,876,325,980,599,004,273,013,011,291,987,735,831,550,187,
467,201,733,571,749,884,295,727,908,912,429,879,962,351,600,883,869,271,084,
158,501,171,034,175,397,420,235,315,775,633,173,084,220,219,165,825,436,303,
194,986,234,519,442,998,061,382,113,655,068,529,171,866,538,243,130,016,826,
143,189,708,602,741,677,222,674,529,680,357,822,188,654,807,990,460,186,059,
460,025,867,122,148,415,268,773,382,154,505,946,339,081,054,286,346,499,879,
651,655,217,317,775,614,905,894,897,151,826,848,399,678,709,375,367,507,629,
623,343,088,546,760,128,136,801,224,361,344,476,406,282,791,415,847,494,321,
943,614,366,682,028,367,005,398,756,271,171,746,902,339,564,491,166,688,359,
798,294,067,585,662,468,528,729,429,802,371,199,998,251,232,247,438,922,379,
063,363,471,094,870,028,598,100,751,020,926,725,745,995,395,514,427,867,794,
588,963,666,962,221,319,975,687,821,523,368,709,743,627,316,300,395,468,515,
187,765,059,351,351,752,846,043,990,082,796,318,264,164,820,740,140,681,114,
905,168,277,051,936,652,811,684,649,279,121,463,593,370,638,677,452,976,409,
685,937,863,568,526,073,197,654,670,716,403,781,210,096,835,770,611,963,297,
367,136,095,187,410,363,779,839,333,380,132,084,456,306,881,366,698,595,020,
730,806,082,834,501,416,330,789,926,154,759,649,889,508,115,979,043,744,924,
787,487,238,802,334,713,514,962,520,396,244,396,247,671,530,789,786,584,600,
499,253,121,061,416,059,878,389,379,517,607,291,340,201,902,738,512,130,095,
635,059,669,550,847,691,194,947,096,355,503,604,906,149,205,137,723,160,760,
066,507,193,099,973,138,382,112,051,314,455,064,413,742,578,749,601,521,034,
643,307,210,076,976,503,354,400,246,131,530,179,283,793,334,232,956,826,898,
260,271,310,564,460,681,354,233,324,340,860,434,631,776,074,514,600,676,650,
895,681,096,808,146,664,223,553,140,303,350,563,540,791,187,329,862,861,941,
545,388,510,994,140,075,379,402,120,996,917,114,285,317,041,895,901,523,528,
990,815,900,200,231,582,207,199,241,660,936,496,766,701,931,708,345,139,250,
907,277,493,407,031,589,286,254,338,932,653,389,230,162,794,149,587,666,606,
341,978,473,662,119,049,398,636,515,600,819,542,873,881,701,856,133,676,537,
516,471,006,548,206,217,224,057,301,343,958,805,735,146,325,424,745,422,431,
388,126,011,038,224,577,998,756,148,834,189,780,374,801,534,370,504,741,026,
123,344,651,434,371,264,012,270,031,034,296,337,500,905,314,103,195,303,338,
858,433,117,097,972,388,164,489,351,869,834,451,351,687,486,257,470,410,637,
554,504,229,572,206,719,255,051,377,723,637,674,027,362,865,825,843,105,116,
820,643,227,746,680,602,262,272,029,503,774,902,011,089,443,488,068,548,077,
472,599,255,841,768,492,601,543,796,552,322,507,180,964,933,780,045,063,915,
334,841,694,198,036,464,220,257,217,333,263,713,636,965,863,956,488,388,885,
970,838,805,540,478,429,359,377,991,448,643,343,342,083,145,674,294,250,861,
989,643,664,190,159,302,953,744,404,447,146,125,229,863,828,819,779,133,802,
841,525,011,641,580,848,740,552,195,967,318,662,682,789,667,874,140,677,841,
398,164,344,695,347,486,777,794,603,641,100,956,491,202,181,099,623,347,896,
169,473,999,500,453,776,909,169,489,614,962,564,187,092,139,564,911,524,330,
618,550,806,008,892,708,149,502,500,705,121,800,925,228,821,190,198,286,691,
159,331,483,381,034,172,306,366,273,247,655,304,785,489,628,191,542,758,851,
472,396,315,279,393,800,774,558,411,398,690,210,140,917,550,139,493,600,555,
256,836,424,221,921,679,046,881,338,293,531,025,293,171,685,830,865,853,356,
982,518,122,887,131,403,978,780,951,138,465,026,219,953,708,845,470,138,744,
407,410,787,763,864,421,497,772,761,948,707,972,625,267,875,558,384,582,141,
192,982,023,108,702,500,073,063,748,606,314,175,028,892,271,528,702,395,188,
910,283,321,970,278,798,542,821,043,153,955,590,646,649,258,559,950,776,025,
586,949,587,463,563,448,645,256,141,596,996,469,363,596,550,237,924,024,154,
772,378,621,458,938,355,149,601,348,015,723,935,464,465,133,112,973,116,665,
982,731,167,677,807,455,256,519,636,415,487,132,207,610,037,112,049,534,069,
704,019,186,282,556,228,685,493,849,514,418,878,065,907,893,382,086,911,539,
643,552,665,352,880,073,445,874,352,643,903,664,117,337,132,261,102,723,095,
510,378,498,909,654,006,925,552,107,517,988,406,645,234,762,787,246,329,354,
213,027,486,318,120,409,784,136,386,431,803,305,409,623,171,341,067,258,310,
672,425,334,043,632,095,570,753,028,520,924,435,104,807,657,067,062,888,484,
610,897,385,602,323,457,910,237,721,452,831,800,493,526,528,654,618,293,537,
382,928,653,186,077,517,322,467,674,650,114,316,498,318,622,793,923,433,692,
513,351,714,833,763,093,155,886,657,963,757,468,415,466,722,986,953,419,136,
349,490,843,780,574,518,744,486,098,895,903,633,680,871,040,054,961,235,622,
075,245,067,681,155,345,466,937,091,001,943,703,754,583,052,398,728,709,531,
801,138,277,594,932,791,835,854,399,475,778,211,517,962,587,203,694,803,469,
511,540,827,834,750,025,580,746,150,829,730,764,816,833,050,935,504,083,770,
219,442,015,319,837,574,055,441,302,245,834,510,773,361,557,297,629,739,621,
227,252,211,439,686,963,229,264,098,943,579,747,562,514,221,347,733,077,006,
155,081,933,199,394,519,914,603,681,562,440,285,272,950,632,681,294,496,730,
959,093,482,766,786,096,613,974,048,083,948,450,369,355,894,501,106,424,988,
230,351,230,425,615,712,785,324,124,175,739,904,743,257,000,409,295,618,280,
167,255,806,590,816,501,947,233,115,534,398,499,682,081,262,607,316,381,723,
282,201,848,876,098,621,977,477,014,878,972,127,836,169,666,566,931,365,275,
872,117,504,313,884,867,624,681,771,848,689,887,773,910,215,668,474,647,265,
439,161,704,889,260,486,009,905,786,057,617,738,977,536,623,482,685,477,354,
183,200,650,345,466,411,496,376,000,139,309,130,401,983,728,180,185,868,716,
043,322,769,934,007,643,997,790,009,024,290,245,530,822,876,201,817,831,391,
878,915,435,490,391,994,033,813,487,349,846,076,241,336,298,212,878,777,717,
095,693,826,582,250,822,474,180,944,834,752,721,046,349,704,698,107,992,108,
399,609,303,483,556,572,814,547,150,145,844,753,215,483,250,004,724,315,211,
084,084,753,131,082,718,666,998,921,750,670,623,430,796,463,619,916,821,355,
780,038,201,541,613,615,410,583,985,980,457,002,569,547,319,985,115,859,416,
865,320,840,288,769,062,830,007,641,010,127,012,769,683,036,675,955,398,218,
504,667,637,359,149,911,856,570,446,118,932,530,251,378,419,872,057,541,550,
677,861,146,069,098,994,244,700,675,065,955,877,876,546,914,147,745,195,089,
708,686,122,236,152,307,565,538,048,003,402,811,218,300,953,304,185,908,664,
300,903,277,759,849,334,020,790,618,174,774,421,050,846,801,931,059,004,117,
732,289,388,430,340,673,583,342,304,574,519,173,041,091,043,008,214,627,414,
346,860,678,931,391,370,710,418,873,970,970,856,239,683,552,165,935,688,971,
573,600,320,839,658,701,963,427,972,598,349,066,942,799,562,512,878,109,459,
366,252,206,163,697,439,168,041,855,734,940,491,214,140,132,239,305,828,393,
918,174,549,363,281,072,811,008,211,803,546,874,402,776,773,543,082,073,884,
029,557,976,242,473,337,975,087,124,788,208,989,874,897,798,002,680,892,931,
785,352,544,219,753,837,579,573,226,260,096,715,519,183,561,133,824,708,678,
537,962,815,286,946,277,216,866,502,113,866,350,047,696,321,135,427,116,867,
447,937,829,829,409,273,117,136,032,788,446,780,933,615,828,577,197,805,435,
345,356,100,817,809,385,776,794,568,522,980,406,314,917,430,855,390,631,537,
936,861,158,205,790,540,199,203,951,421,921,082,402,427,768,472,665,996,634,
935,425,603,975,378,388,893,836,763,315,103,005,724,902,727,393,517,346,822,
062,369,458,673,400,606,909,458,824,411,045,692,335,907,019,481,175,997,153,
556,965,118,606,566,151,730,691,534,477,947,603,054,665,570,834,523,654,347,
632,306,093,924,987,131,682,992,599,045,521,385,484,617,653,505,442,652,637,
174,858,276,199,736,070,700,451,447,710,603,445,751,703,410,699,617,265,383,
852,833,801,773,551,559,573,256,355,881,430,685,242,870,837,622,537,869,316,
946,857,535,501,127,500,937,451,970,450,759,251,985,817,260,963,890,826,206,
854,661,644,859,203,191,960,275,900,168,341,578,670,287,894,935,908,443,944,
192,318,316,871,397,192,496,284,516,228,318,687,267,918,217,511,484,127,052,
823,460,505,130,976,877,764,041,604,411,454,873,446,135,847,217,682,746,531,
296,070,693,392,869,283,515,918,396,725,281,800,122,785,956,457,375,227,615,
733,597,345,845,379,814,784,868,671,795,684,397,264,898,786,047,892,350,362,
025,774,543,110,000,025,579,086,351,311,459,272,126,586,809,474,131,195,122,
710,639,205,805,105,240,265,952,359,016,473,957,194,858,433,976,733,010,141,
800,369,973,308,194,833,949,225,915,830,654,518,945,829,175,466,855,037,001,
330,618,319,317,571,063,828,240,947,395,696,706,125,845,950,952,533,183,808,
715,605,576,891,284,640,717,716,965,935,971,061,164,133,482,536,358,015,594,
464,837,922,113,705,817,711,614,512,630,769,311,173,421,152,492,748,074,607,
123,721,609,417,943,834,279,817,181,473,848,078,291,401,322,619,911,024,623,
052,197,629,631,502,285,061,728,296,743,574,404,071,985,360,183,430,395,963,
325,755,119,519,897,664,557,031,558,588,604,916,473,903,571,879,816,841,506,
766,210,097,713,342,410,533,597,403,045,357,841,881,154,237,993,274,090,832,
476,758,232,769,455,821,330,521,054,802,096,422,998,993,469,135,270,431,228,
298,089,105,962,863,662,613,757,932,913,753,420,463,092,114,121,181,297,917,
555,819,742,277,441,011,390,613,613,661,345,096,714,967,429,762,831,527,586,
236,598,405,817,865,801,692,365,069,220,045,626,779,259,894,622,514,342,270,
735,846,748,307,467,600,167,299,692,970,907,845,126,738,328,943,952,208,327,
407,328,264,580,857,062,981,032,474,667,390,875,412,349,302,284,649,284,870,
099,416,928,193,960,777,517,306,951,621,675,982,944,895,021,426,239,068,807,
439,511,935,874,039,528,113,607,296,207,008,447,987,958,992,772,237,012,999,
008,251,766,949,114,270,903,067,680,874,105,985,677,463,540,380,685,376,002,
041,975,360,661,351,381,558,942,039,076,950,860,846,127,629,495,764,193,415,
070,825,619,340,263,456,300,687,355,908,765,831,677,392,101,564,082,170,660,
839,637,148,492,175,709,655,237,285,649,650,449,706,866,727,192,338,628,050,
094,357,691,825,331,033,202,063,837,212,696,522,003,084,856,676,341,142,902,
105,264,967,996,764,722,645,209,973,652,129,280,718,683,679,162,864,781,220,
690,744,092,546,105,839,219,363,947,914,822,680,311,530,196,346,321,248,851,
456,291,629,997,327,241,071,542,239,105,506,028,481,452,588,272,226,202,185,
315,320,472,498,311,399,429,696,461,889,882,427,801,230,315,758,889,063,436,
666,570,590,743,140,191,172,424,675,149,924,453,244,014,653,054,735,572,445,
613,119,978,683,566,692,389,254,727,184,124,843,238,575,966,392,047,319,166,
034,540,063,374,249,486,252,281,883,274,718,195,827,743,123,261,861,487,045,
879,114,184,490,923,147,009,680,252,856,261,068,382,580,592,999,620,220,745,
144,279,017,086,047,302,457,941,540,740,945,931,821,624,252,637,220,096,287,
639,842,468,178,946,209,093,841,913,508,629,713,152,856,118,696,809,639,251,
678,410,416,358,540,582,621,254,330,218,401,780,098,226,525,171,028,028,996,
977,653,331,888,553,191,985,333,325,116,467,373,139,678,968,821,073,633,250,
818,359,471,554,176,206,559,816,886,704,479,333,823,323,876,555,616,840,681,
534,003,370,788,353,233,471,608,737,541,148,953,550,249,665,717,321,142,198,
940,456,023,827,905,655,407,620,543,484,037,257,308,031,417,216,502,664,271,
043,834,458,299,533,105,199,020,634,424,332,805,854,253,583,173,696,898,910,
421,392,327,126,176,207,878,840,114,163,551,743,796,927,513,398,337,315,490,
623,950,731,441,929,217,484,059,853,851,649,228,457,329,515,472,904,103,256,
058,831,719,647,745,433,220,409,697,603,334,812,755,157,207,320,561,895,959,
534,988,094,076,640,817,329,086,419,856,945,756,003,538,412,835,229,305,324,
740,679,133,730,166,266,378,637,840,804,691,586,999,087,435,268,990,115,546,
147,801,182,488,591,725,575,885,220,916,340,520,971,873,334,463,572,069,746,
666,121,700,398,951,599,712,600,096,997,369,489,147,059,119,499,962,539,659,
678,699,325,338,066,600,075,875,653,901,253,138,848,710,449,530,589,175,799,
325,462,977,645,701,853,566,145,123,460,427,330,593,579,953,287,681,051,658,
110,841,451,989,822,079,444,554,334,876,729,906,783,552,562,914,435,326,192,
658,182,020,139,196,579,708,447,599,386,910,788,411,606,510,839,477,470,874,
943,954,439,769,428,003,547,417,786,771,495,646,625,228,940,691,869,187,041,
782,437,441,887,599,479,013,661,012,391,294,885,088,004,685,622,556,736,072,
523,405,571,388,255,778,901,095,901,903,411,618,958,293,848,335,334,250,285,
932,996,553,101,399,502,807,736,854,591,767,474,990,680,434,105,150,700,577,
002,176,378,297,156,166,253,109,823,834,483,932,215,101,667,766,742,857,740,
647,276,551,957,038,825,896,831,011,717,654,726,392,915,283,990,423,286,843,
858,317,831,642,760,732,453,929,654,294,459,753,250,803,536,632,618,257,321,
704,915,866,198,041,754,795,748,936,167,247,601,512,446,292,504,621,606,834,
634,480,760,041,406,897,538,537,848,649,910,830,325,802,658,885,278,262,057,
083,807,310,501,919,137,109,727,808,642,984,206,658,098,451,133,350,211,677,
016,054,454,906,667,642,081,260,973,230,259,941,195,555,639,930,788,611,307,
673,985,982,873,893,911,949,390,673,596,243,992,598,007,412,405,897,042,288,
828,123,706,675,050,808,854,577,932,462,229,840,944,165,240,195,358,481,831,
354,601,282,195,443,501,592,004,516,647,219,507,013,531,097,276,037,831,694,
975,784,071,134,459,401,088,843,584,445,556,476,581,220,447,199,792,116,564,
297,882,207,822,015,602,214,163,036,970,449,803,630,717,517,021,965,332,717,
342,201,962,773,378,693,800,985,632,983,420,218,941,010,545,054,181,217,454,
342,325,226,785,214,556,616,743,774,200,270,122,938,041,540,968,035,496,952,
407,916,404,912,193,505,180,270,475,830,121,979,413,860,736,327,086,932,688,
636,903,880,295,433,732,908,923,015,283,495,515,478,239,632,711,452,701,877,
180,145,086,861,206,995,046,589,136,462,116,713,535,942,740,463,451,271,712,
559,670,355,488,455,189,226,034,612,545,335,723,939,462,751,948,824,072,203,
005,515,734,612,939,112,791,886,018,105,051,239,055,933,240,636,257,755,611,
064,430,504,424,913,865,099,248,336,858,838,368,339,599,828,057,536,886,546,
275,481,902,658,969,618,058,834,386,378,253,342,441,366,056,799,929,402,550,
782,844,620,700,702,345,478,476,392,207,321,726,183,482,782,582,685,910,028,
129,882,886,274,276,637,910,989,795,404,806,674,363,048,735,337,124,402,824,
765,726,979,665,361,825,061,488,532,772,769,606,251,676,530,533,987,562,479,
005,054,235,896,742,736,759,804,182,264,428,163,369,863,304,645,193,539,630,
840,604,379,161,805,470,081,826,104,139,647,782,030,322,831,382,395,399,424,
537,103,628,264,231,180,361,832,516,543,320,485,143,475,111,279,111,761,816,
045,410,855,695,041,008,328,138,244,174,800,680,395,891,117,245,945,123,916,
290,731,195,568,918,477,269,686,154,741,859,454,796,913,300,906,874,918,058,
849,096,623,355,132,236,153,587,996,159,274,250,043,994,741,160,311,494,538,
168,096,455,185,809,660,257,553,290,963,555,982,724,697,443,462,786,869,594,
526,589,899,454,511,673,411,182,464,479,751,076,894,020,450,998,416,990,850,
052,012,851,296,575,545,499,338,227,235,322,292,186,076,046,323,079,809,203,
222,723,177,374,298,838,998,227,031,339,983,967,149,874,860,236,099,748,208,
951,658,159,320,160,205,305,629,590,648,895,663,160,476,138,040,317,158,160,
413,213,355,863,812,307,688,742,370,478,196,099,855,180,117,479,500,935,078,
962,673,885,770,770,540,281,375,199,087,947,014,386,481,119,812,949,087,489,
942,929,913,146,400,183,215,846,405,915,277,293,516,173,620,612,571,262,344,
488,059,407,544,383,728,239,942,620,139,686,448,928,042,886,791,516,875,814,
820,767,384,958,859,999,327,431,589,352,200,619,146,319,780,464,001,370,909,
033,349,632,844,132,760,800,395,116,292,377,303,776,812,592,910,458,452,095,
143,727,174,215,253,938,055,731,449,711,320,370,274,523,164,057,756,540,856,
245,278,465,374,172,422,014,244,466,676,970,437,428,026,961,225,633,362,523,
486,668,819,608,062,033,363,245,401,377,697,827,231,881,943,605,993,715,852,
178,939,318,932,915,241,219,441,687,478,186,185,529,910,774,458,100,082,191,
243,593,743,601,978,671,977,369,293,491,137,602,674,843,334,445,730,676,267,
281,252,923,881,572,195,868,035,323,566,893,035,053,265,728,396,950,890,375,
381,950,479,941,170,534,637,985,893,498,661,439,473,856,304,641,614,744,852,
442,826,228,823,987,712,184,947,635,401,343,296,325,159,841,880,271,043,444,
250,433,416,723,629,014,492,219,042,763,718,005,480,659,334,727,170,900,622,
923,645,114,279,664,122,979,580,509,015,531,118,003,824,435,949,672,639,620,
842,308,561,611,253,573,728,246,525,882,471,852,804,121,611,362,240,123,899,
628,147,010,008,760,895,646,651,378,305,975,558,955,028,112,573,102,192,691,
625,025,241,613,188,768,409,374,885,953,880,675,772,560,736,686,794,471,197,
674,156,636,802,610,685,705,127,482,569,946,506,797,546,243,294,218,773,194,
858,494,648,982,470,779,665,214,267,172,614,133,938,727,996,351,092,690,817,
189,966,804,813,823,058,226,841,308,428,591,131,968,970,708,763,004,086,289,
483,516,506,074,161,330,494,369,422,830,400,278,643,141,547,773,721,257,485,
446,241,856,915,823,303,304,638,423,153,253,492,083,663,801,300,013,425,797,
146,132,226,862,854,971,846,389,415,212,888,576,383,024,183,934,419,736,189,
186,960,314,400,657,966,865,762,479,221,965,131,959,378,629,389,928,235,788,
210,230,854,622,410,653,952,179,382,666,774,606,971,754,593,899,233,777,827,
459,398,151,033,495,065,953,945,140,719,956,421,913,561,791,268,221,954,662,
521,058,947,010,270,176,617,664,123,554,356,165,535,307,001,994,948,751,916,
640,409,758,893,180,197,164,590,703,814,622,379,403,390,118,967,183,390,101,
909,255,710,236,670,438,513,698,895,901,160,633,901,671,123,133,604,360,267,
920,855,112,488,953,344,299,482,528,937,729,135,442,905,275,936,870,630,434,
790,357,954,069,716,083,389,513,810,327,310,688,152,054,807,107,094,847,447,
582,957,885,286,710,314,987,132,849,633,494,457,202,618,705,850,445,386,865,
732,123,797,272,825,478,831,499,984,348,855,547,833,477,164,759,059,833,183,
196,583,337,205,045,144,638,425,755,371,371,455,647,297,467,927,441,385,125,
422,928,541,615,954,109,567,085,199,086,512,146,456,062,231,747,139,472,678,
995,403,058,465,499,352,121,889,493,616,999,665,869,466,035,154,520,185,118,
978,278,932,299,449,877,417,310,607,138,475,182,530,726,510,122,429,631,119,
181,650,421,711,250,102,667,874,328,911,872,318,808,580,809,457,872,872,084,
077,844,108,033,678,793,691,315,471,876,834,329,664,101,306,419,577,570,721,
854,695,252,200,518,352,039,365,230,465,800,709,572,468,325,676,605,223,562,
946,557,556,363,136,352,426,455,007,587,720,659,413,618,908,922,246,630,060,
908,870,313,351,231,350,132,888,163,361,869,312,368,160,486,076,696,572,192,
503,240,462,879,635,009,462,824,066,165,280,765,467,447,513,024,716,132,309,
928,314,142,566,576,452,240,771,948,957,166,592,204,639,025,008,846,144,417,
027,916,278,256,713,169,830,318,704,402,666,601,175,522,728,618,224,815,087,
301,339,316,581,550,043,279,689,032,614,251,261,607,489,136,500,180,995,457,
569,046,959,022,776,481,235,976,929,820,729,709,979,001,555,728,623,616,228,
386,986,131,527,642,533,501,016,071,908,418,195,906,900,230,815,063,364,644,
599,428,045,969,500,290,106,789,093,565,656,915,581,964,457,779,726,522,388,
811,124,719,968,688,868,645,311,077,077,898,726,398,318,875,166,299,082,362,
178,389,198,639,438,336,309,076,396,198,644,312,284,465,097,136,782,959,340,
614,224,198,127,019,287,654,446,747,020,455,097,281,183,119,821,658,294,282,
918,814,778,998,806,305,851,481,446,260,811,952,093,725,121,966,900,483,129,
983,032,201,736,265,021,920,069,898,872,037,800,844,250,888,189,004,965,740,
639,936,044,470,467,709,279,561,475,731,233,659,795,396,565,425,451,873,240,
124,796,965,862,336,139,587,281,157,769,014,661,551,687,175,225,787,818,993,
661,961,611,566,534,712,215,059,905,671,157,240,790,093,156,855,385,651,118,
146,134,107,759,135,411,343,419,501,095,831,548,974,083,042,152,167,972,613,
336,569,431,340,407,863,988,746,593,591,129,692,602,014,647,241,539,176,037,
785,175,819,759,004,231,060,357,118,920,455,658,234,164,966,384,495,299,725,
840,239,054,899,508,364,836,448,855,867,234,565,403,604,402,412,420,384,468,
353,118,280,859,766,163,224,947,342,257,797,363,978,508,993,420,808,657,469,
571,689,283,705,333,268,452,239,407,455,103,258,107,172,181,764,875,429,652,
529,974,162,052,227,590,499,538,782,665,398,542,312,591,149,992,386,524,273,
121,252,574,201,081,827,428,042,767,284,312,674,021,690,856,104,535,774,095,
522,668,552,750,115,221,260,541,154,443,104,796,036,894,168,036,067,016,966,
864,377,126,030,520,697,409,022,745,820,470,016,479,130,322,472,569,060,730,
607,834,897,704,996,592,130,301,163,310,138,207,694,237,833,941,263,775,235,
990,613,869,788,055,935,054,102,873,204,640,011,007,549,234,562,329,153,785,
008,066,617,936,202,072,554,236,606,682,086,365,151,089,990,789,798,902,266,
357,893,942,528,645,688,307,124,695,889,412,605,493,918,460,591,290,380,748,
241,738,779,260,208,153,854,070,530,867,309,218,609,915,323,672,337,926,152,
375,627,957,267,912,218,476,315,910,824,330,725,573,082,384,907,997,441,327,
006,874,073,763,326,125,911,160,680,389,385,523,556,377,200,037,648,592,251,
703,495,072,042,438,809,533,442,881,251,832,869,895,792,768,590,197,073,162,
468,951,384,416,239,270,437,699,174,641,034,126,062,553,108,020,178,494,126,
861,675,308,335,522,069,010,995,717,248,054,096,187,446,629,121,707,429,388,
715,420,812,481,103,786,401,988,426,804,958,002,989,536,751,207,054,851,673,
190,759,314,693,878,385,774,908,208,301,654,452,111,354,822,370,730,647,763,
051,768,367,151,608,738,238,563,217,387,277,069,587,205,810,034,826,686,458,
686,462,256,826,061,870,149,522,107,746,920,238,915,303,883,224,691,444,621,
673,170,302,084,094,436,564,943,365,836,951,377,171,805,312,255,319,384,093,
441,408,520,881,329,537,350,198,146,349,695,531,534,627,346,398,650,686,044,
820,269,228,284,464,815,469,575,471,082,895,638,511,941,326,734,298,912,550,
929,420,793,176,285,550,671,871,598,031,971,429,273,281,352,937,124,100,708,
966,708,834,108,160,562,937,970,968,915,638,975,132,953,294,157,800,202,211,
073,923,922,287,657,442,581,320,565,266,808,896,411,321,648,492,262,766,259,
191,483,755,458,111,843,903,671,251,525,522,753,626,419,732,229,853,319,399,
673,457,204,152,687,173,469,510,317,661,336,157,450,501,405,412,170,436,931,
240,423,591,811,345,716,597,820,770,400,800,426,521,432,727,613,350,263,313,
901,618,303,191,853,415,756,938,879,496,773,118,516,438,943,807,685,229,294,
879,396,449,494,636,407,142,392,370,997,874,201,647,369,417,363,293,988,887,
669,021,214,387,286,220,398,822,294,713,669,494,316,531,512,808,275,697,314,
107,449,700,338,575,882,083,363,622,448,496,526,243,592,743,894,640,391,907,
356,914,963,285,098,662,235,093,980,499,064,771,127,275,522,730,817,426,414,
298,324,370,609,544,250,352,657,562,406,152,459,394,654,917,890,983,327,284,
879,422,896,012,872,039,424,689,392,920,016,681,076,267,306,315,165,655,312,
919,838,606,268,032,575,750,990,882,435,285,489,201,356,941,997,844,279,294,
810,051,391,026,476,265,436,239,690,328,619,539,589,402,740,658,967,064,511,
864,710,339,344,052,027,058,724,708,604,841,107,607,289,006,056,263,729,876,
827,153,371,262,668,857,971,689,711,228,053,043,633,307,234,972,069,267,906,
232,636,561,146,126,181,073,663,351,327,365,701,294,358,391,217,695,332,241,
575,975,385,863,112,485,210,788,080,553,752,072,664,562,581,828,161,852,113,
339,313,170,850,863,239,318,116,666,983,750,943,380,920,247,738,383,426,318,
158,915,318,781,551,208,082,164,887,423,470,895,062,497,049,684,049,944,621,
180,785,306,050,467,029,768,800,670,978,298,451,057,535,484,459,748,234,689,
793,980,694,855,237,226,259,610,075,889,968,703,365,056,009,268,235,584,667,
315,524,581,514,911,964,981,297,167,168,068,617,342,867,728,327,882,011,287,
886,452,464,565,662,190,094,444,332,450,116,023,755,659,430,653,873,795,236,
670,761,937,225,362,014,127,213,680,693,994,521,528,120,003,650,742,206,744,
974,494,848,254,386,997,332,201,226,701,373,312,778,276,016,398,978,874,073,
247,425,058,763,983,998,460,754,719,219,141,971,103,144,567,214,013,264,134,
312,731,996,576,610,463,586,172,929,117,309,893,200,457,639,928,108,354,574,
223,346,532,100,498,517,734,158,310,789,315,831,637,491,562,053,270,787,875,
544,698,211,691,205,257,422,996,548,706,582,637,451,881,854,130,481,899,364,
129,718,447,512,568,691,477,775,565,475,331,267,644,242,792,153,217,546,951,
547,865,245,170,928,960,703,890,595,689,541,103,213,502,500,979,981,024,999,
542,594,948,800,643,840,743,892,688,592,688,727,790,047,223,741,216,086,822,
819,078,186,109,368,729,026,273,679,538,609,006,099,850,194,639,809,261,048,
514,970,867,295,385,434,002,664,724,100,628,340,623,426,024,959,388,545,252,
183,394,138,007,660,264,304,139,007,740,505,343,140,940,577,454,721,570,895,
148,851,173,143,493,174,138,941,370,813,844,202,258,098,608,383,643,148,983,
537,853,194,375,398,350,501,510,639,191,312,356,810,456,987,945,086,016,328,
786,903,062,897,536,685,068,180,263,059,040,679,624,014,309,143,268,111,440,
384,533,799,235,095,387,128,651,697,969,254,023,836,538,090,123,326,249,315,
747,351,543,363,128,321,701,178,100,961,966,439,432,959,945,951,197,589,915,
269,693,210,986,947,751,408,671,016,331,534,652,590,475,858,196,147,457,467,
830,821,329,283,925,557,136,209,803,154,163,109,682,146,642,167,437,528,825,
684,731,057,895,296,505,981,704,142,408,372,001,270,291,202,702,365,908,261,
012,544,736,049,126,971,860,753,059,361,014,765,700,477,944,276,623,538,510,
284,838,911,744,900,326,957,740,866,347,708,351,342,555,517,079,215,928,415,
708,220,449,379,184,934,047,607,918,440,580,400,859,626,677,942,806,286,962,
474,625,412,805,667,786,656,557,005,156,616,420,040,188,600,800,467,722,761,
854,890,133,491,743,426,547,978,907,286,056,268,713,285,072,643,074,273,136,
150,293,458,888,249,993,415,600,741,353,155,535,293,608,272,397,404,549,006,
539,579,760,869,718,990,315,784,824,697,709,508,528,137,052,970,600,881,286,
498,740,804,684,772,190,079,981,387,568,735,548,177,596,857,930,270,313,850,
316,858,869,110,472,237,435,436,904,775,619,806,086,465,824,418,343,171,919,
590,922,380,108,146,620,346,936,805,791,490,463,859,279,329,038,997,784,715,
362,518,556,366,574,181,355,348,027,992,601,989,020,843,144,617,021,399,926,
901,493,509,042,302,649,230,464,908,838,122,035,108,140,426,513,769,504,520,
224,175,760,270,179,329,971,897,376,586,418,777,944,028,501,644,933,603,020,
699,211,764,046,340,862,484,199,776,887,676,776,064,225,426,473,225,906,262,
959,589,187,252,141,531,887,745,075,933,883,949,261,955,681,085,201,903,401,
346,827,798,227,738,563,497,607,221,825,265,445,961,390,942,710,125,926,747,
864,898,112,661,638,129,921,559,174,372,189,226,824,745,126,958,839,887,082,
035,008,661,169,483,088,315,159,705,740,757,405,341,671,516,962,491,612,543,
935,807,688,486,183,735,941,631,444,471,648,924,839,549,173,066,747,718,071,
295,604,183,747,981,546,605,087,822,712,303,493,587,148,648,812,256,645,840,
624,702,850,943,131,805,048,212,911,356,903,266,915,380,456,418,891,589,592,
328,148,497,636,347,619,762,303,239,066,450,100,876,382,403,844,271,205,778,
902,309,363,237,250,221,861,445,464,487,691,568,050,576,671,800,210,352,852,
902,122,278,460,617,839,136,847,354,500,355,109,873,776,431,621,036,126,806,
435,268,257,549,660,296,613,400,199,003,516,268,431,016,728,812,666,928,740,
423,382,778,017,049,217,036,908,217,705,151,930,591,243,386,628,582,333,660,
412,314,459,481,894,635,508,290,260,753,271,676,227,040,535,927,246,707,304,
943,990,967,354,793,119,178,883,765,518,052,940,591,997,690,476,355,182,269,
290,222,164,384,746,151,690,493,538,963,429,500,748,962,698,741,242,261,057,
547,741,528,401,273,067,426,503,684,696,276,401,356,270,072,558,433,695,190,
999,250,826,867,521,972,150,003,848,698,568,130,366,706,846,532,577,626,467,
521,497,890,406,801,158,311,902,642,678,361,598,816,022,872,285,442,280,969,
720,910,570,980,487,498,650,548,962,429,632,024,768,466,977,106,830,492,304,
147,954,195,244,728,583,632,461,317,956,291,662,603,265,360,508,909,931,354,
050,846,875,265,435,774,083,824,338,406,972,256,662,040,604,620,595,618,169,
197,205,321,786,599,658,839,446,199,570,433,357,486,275,122,730,723,966,224,
191,178,974,425,061,430,827,929,092,649,249,989,424,081,539,096,499,250,473,
304,294,292,525,483,873,455,672,118,842,897,070,118,506,224,420,492,274,995,
533,974,001,087,275,071,422,845,134,873,012,041,372,164,914,041,639,660,709,
453,982,031,813,325,270,849,706,175,485,192,077,886,389,401,186,163,946,234,
195,128,556,513,096,605,057,472,805,899,191,397,224,171,577,827,375,572,107,
516,954,611,445,963,687,026,008,911,250,911,648,413,809,175,416,871,032,786,
515,971,962,129,058,710,475,647,086,656,362,945,986,009,684,279,091,181,235,
317,081,863,564,093,072,690,442,728,855,105,103,950,741,278,063,260,958,705,
858,268,333,373,718,644,062,044,351,565,315,654,931,345,127,628,185,295,168,
683,065,621,205,277,865,785,132,391,087,597,517,170,436,915,319,280,409,232,
658,510,423,574,648,410,953,246,201,389,785,425,364,230,479,112,826,516,761,
349,931,069,560,796,476,624,867,889,235,504,417,432,749,656,492,325,889,010,
042,225,127,982,522,158,066,101,569,471,838,261,361,411,005,626,048,589,698,
802,330,230,878,608,376,193,839,275,357,111,544,811,691,661,549,470,912,254,
449,817,565,902,098,862,338,923,050,126,265,459,537,766,952,023,697,189,579,
806,563,230,590,815,544,851,127,292,866,264,177,970,774,587,424,430,853,353,
203,004,655,713,744,405,438,959,715,518,408,149,963,524,007,953,773,351,460,
122,522,914,068,104,849,964,650,549,461,178,713,289,023,866,096,283,438,712,
457,224,134,956,296,078,139,115,115,908,799,814,041,258,816,828,107,276,753,
286,014,151,772,472,162,638,312,827,273,061,469,075,216,620,318,359,402,397,
665,220,486,558,720,827,093,442,945,252,253,746,373,917,180,051,356,432,261,
836,398,898,994,461,645,017,167,549,983,932,462,300,777,785,728,835,943,648,
401,925,462,650,194,907,072,004,737,331,067,933,495,735,504,735,034,889,785,
822,807,252,003,618,155,745,191,613,693,904,216,327,090,160,773,592,300,129,
269,254,618,040,191,366,477,852,337,743,893,018,574,942,295,681,341,170,405,
516,830,440,724,934,640,946,324,373,354,687,419,028,422,483,573,260,336,874,
479,820,254,020,473,886,161,228,867,070,898,939,840,904,568,429,914,404,443,
570,991,192,348,662,954,297,682,397,977,031,496,569,470,657,057,413,435,957,
374,603,626,905,685,286,206,204,518,709,564,870,052,657,903,334,868,701,452,
046,014,710,802,887,447,904,398,413,637,320,660,691,830,181,565,456,976,293,
957,044,762,468,051,976,016,294,978,923,640,362,257,768,889,592,682,049,144,
121,324,194,026,394,976,149,901,616,276,240,049,488,604,570,369,895,653,144,
844,136,814,909,444,730,641,155,671,026,927,735,568,533,779,957,288,375,522,
618,847,124,200,196,621,942,516,652,958,220,653,040,018,386,840,300,121,096,
579,835,076,217,536,880,683,259,125,162,876,451,059,722,206,625,728,168,446,
267,932,936,243,883,790,815,366,466,031,082,032,544,371,896,352,290,448,039,
088,897,122,763,622,978,471,686,530,776,813,183,131,630,449,072,624,459,818,
497,187,676,975,146,413,252,736,114,370,742,628,710,401,723,586,219,145,122,
013,064,828,601,912,683,000,497,239,489,979,240,703,309,814,938,474,528,424,
760,235,562,508,084,260,921,447,394,592,958,586,616,420,189,754,892,747,373,
211,055,085,542,595,528,858,742,485,200,706,775,905,909,743,639,557,465,459,
887,133,446,010,531,452,854,594,914,015,695,561,125,807,759,625,887,431,887,
104,906,876,498,150,006,200,252,973,176,355,356,238,654,138,361,959,997,257,
217,696,240,247,747,218,218,784,816,006,668,055,495,449,277,044,883,353,188,
252,883,617,949,360,227,140,794,492,555,703,150,379,825,825,879,731,651,960,
021,928,347,806,613,373,983,071,579,397,759,861,980,454,155,173,274,817,916,
652,996,059,482,613,528,573,417,773,748,729,605,842,020,137,076,370,149,529,
666,679,472,545,264,762,077,157,283,312,963,505,771,185,260,498,558,915,403,
602,140,802,928,172,491,054,153,071,237,851,481,953,317,615,845,596,036,440,
591,907,660,309,539,591,211,459,124,622,650,568,864,303,030,981,587,499,598,
223,692,141,485,020,511,393,463,911,266,264,418,193,164,308,361,762,398,592,
822,343,518,990,371,519,508,438,502,768,078,288,289,635,698,848,343,466,101,
240,321,959,132,003,389,732,647,869,098,835,377,244,726,387,051,344,296,589,
733,113,750,633,662,213,485,537,678,578,945,540,284,003,322,568,661,955,161,
906,470,169,124,228,761,932,216,737,485,772,222,413,226,848,886,443,489,076,
150,148,271,180,402,312,375,512,112,633,841,157,839,248,852,735,826,920,341,
229,290,156,074,675,126,630,970,555,680,415,808,862,131,899,312,595,920,723,
478,674,714,923,224,373,341,969,287,054,221,661,537,457,275,991,794,429,779,
161,575,847,177,835,611,726,494,303,491,521,609,508,896,504,807,586,204,871,
023,407,925,209,011,786,048,144,532,357,196,534,262,344,984,624,218,535,090,
779,184,488,642,222,903,753,581,203,775,818,280,835,925,330,705,008,534,992,
873,518,408,253,303,053,248,497,265,615,895,988,368,893,048,175,215,134,528,
643,614,349,679,049,647,685,500,116,464,220,932,357,916,609,622,042,238,717,
835,328,077,147,378,102,633,953,224,426,438,265,847,647,823,954,777,051,211,
831,529,415,031,918,992,204,645,805,258,584,674,588,554,359,272,373,359,645,
494,866,460,422,769,911,619,347,030,045,150,989,144,711,872,231,590,826,607,
263,286,993,188,662,136,193,622,203,640,439,835,075,103,882,927,337,461,454,
526,926,721,430,889,816,456,208,188,192,749,469,894,102,597,961,144,174,647,
977,540,437,517,661,792,915,383,960,062,564,119,563,374,538,910,505,452,847,
559,826,405,976,118,530,572,288,698,070,868,946,813,875,983,590,667,632,452,
626,178,848,004,030,450,647,556,456,846,729,003,363,055,391,529,792,708,054,
025,144,009,738,820,049,232,883,527,207,107,377,098,768,589,008,562,599,878,
578,899,065,142,364,380,576,950,991,249,072,518,258,512,302,169,220,263,803,
781,345,242,272,769,664,327,987,571,122,100,192,936,746,039,611,228,210,570,
190,892,567,627,315,211,156,175,321,985,831,945,922,576,246,114,844,438,729,
115,991,079,376,755,903,832,555,347,346,531,477,302,318,921,053,917,984,587,
665,401,105,299,405,820,806,098,795,921,289,681,133,376,297,650,545,165,845,
288,344,680,093,147,832,107,583,845,474,115,941,564,780,628,097,869,987,190,
121,767,129,761,301,161,265,194,959,641,716,056,550,349,320,868,844,525,902,
105,859,047,388,536,477,580,810,664,227,721,485,870,619,445,116,823,780,037,
518,014,875,447,716,414,443,005,621,823,919,964,212,979,165,905,612,917,388,
976,110,515,942,117,704,462,481,887,980,501,181,227,608,661,232,966,829,854,
983,161,234,798,169,349,855,962,441,282,765,322,736,304,590,664,454,849,519,
051,596,169,693,038,729,183,829,909,521,508,244,896,991,442,047,994,347,204,
756,979,660,175,630,926,426,712,794,030,432,381,746,944,232,601,840,192,841,
767,675,965,922,615,283,672,725,462,824,845,888,555,146,996,202,201,719,176,
636,898,209,142,703,144,593,901,617,445,577,013,931,477,952,338,924,426,977,
656,341,902,115,181,194,605,132,347,414,706,094,804,899,139,624,928,634,181,
109,462,064,598,356,592,179,882,149,265,434,475,954,536,940,360,900,446,930,
211,881,396,642,566,552,749,880,528,080,950,923,527,651,410,564,710,537,402,
996,267,919,501,480,565,749,051,093,280,665,362,942,255,767,833,471,297,183,
649,712,491,787,043,102,607,466,167,792,818,008,201,732,353,982,050,379,419,
634,662,638,994,329,581,613,171,675,037,648,247,999,904,124,781,639,148,065,
063,534,428,343,120,199,608,279,740,289,553,128,373,078,896,281,527,373,291,
754,481,667,674,143,825,703,554,595,133,320,893,138,414,660,000,852,246,918,
624,947,320,238,025,100,628,070,542,998,327,964,941,120,517,873,689,928,702,
226,915,070,227,719,126,734,538,441,614,472,731,234,943,962,163,772,452,708,
691,514,912,599,765,475,998,144,861,549,920,263,699,073,030,994,731,233,936,
966,907,174,788,869,104,764,926,849,458,017,218,121,015,718,389,861,016,908,
454,827,789,878,132,848,443,287,221,539,340,097,834,635,397,609,065,761,370,
384,989,053,933,536,360,569,007,116,374,852,541,582,026,364,135,235,199,491,
323,115,772,146,265,937,414,701,010,631,879,290,212,564,223,692,148,613,043,
276,543,185,953,028,699,214,631,581,160,751,680,254,884,590,776,061,561,995,
106,711,767,070,892,543,924,446,109,017,069,610,287,858,326,490,447,970,529,
657,267,389,126,297,472,469,744,749,180,443,025,615,034,280,198,054,826,274,
377,872,073,712,993,937,462,816,281,747,802,774,372,271,257,314,862,041,456,
006,638,558,153,130,951,232,235,847,750,715,940,243,722,056,312,441,709,246,
337,006,608,903,068,788,461,105,176,615,074,444,907,425,712,478,468,941,286,
762,973,969,516,081,368,186,722,715,252,706,115,617,831,448,389,619,589,938,
718,681,179,390,473,494,740,809,569,300,317,940,558,852,577,779,700,185,766,
217,306,871,021,564,027,465,314,206,953,332,593,396,963,634,516,654,122,575,
216,095,591,938,329,065,364,223,095,797,278,544,810,542,415,891,634,659,530,
794,518,293,360,926,443,897,331,786,472,879,518,301,799,712,303,288,284,571,
115,611,461,941,270,704,656,190,797,750,062,764,260,463,223,548,292,562,567,
990,703,298,915,541,208,233,160,274,780,471,155,110,678,458,935,439,943,077,
708,371,946,647,520,086,792,364,299,403,820,321,009,785,111,343,439,840,656,
867,367,147,283,090,195,392,830,981,717,506,188,087,921,584,035,818,736,481,
321,900,732,350,465,093,755,215,723,326,787,833,641,319,968,855,909,409,386,
062,097,406,303,150,621,056,435,455,539,033,582,489,762,123,218,064,483,653,
144,531,622,396,894,566,122,397,678,694,876,633,529,645,325,236,878,787,611,
097,151,400,136,970,739,966,097,278,171,248,251,120,986,081,725,319,078,334,
905,229,505,886,671,993,137,531,834,271,947,413,947,251,733,316,931,886,439,
390,507,221,879,286,451,364,138,741,331,951,592,426,356,562,709,430,402,922,
389,658,862,816,807,173,101,379,662,399,267,013,091,610,239,829,257,950,917,
825,506,095,898,583,956,850,334,448,598,530,205,027,228,736,701,236,785,557,
924,056,466,481,406,784,340,837,603,180,831,300,073,894,262,123,814,594,523,
648,028,012,694,130,246,496,579,157,538,268,996,391,813,157,504,183,083,797,
937,023,460,232,533,924,661,361,470,038,618,875,747,501,416,196,588,830,406,
561,124,936,253,810,205,400,777,809,045,235,260,291,228,831,434,296,103,951,
134,821,603,395,626,044,289,006,087,196,014,895,809,604,919,705,286,379,424,
126,748,044,223,091,381,344,572,690,122,425,818,453,028,583,515,198,062,862,
201,304,761,743,258,347,903,466,035,673,321,160,814,799,826,740,532,706,888,
093,238,832,934,940,810,866,097,835,287,354,652,453,706,582,299,985,214,803,
429,468,040,451,853,295,424,037,699,679,128,406,004,066,115,675,665,373,691,
042,013,667,794,554,536,640,064,426,396,438,107,557,136,218,248,983,996,600,
590,758,552,025,974,607,170,174,887,010,556,471,396,504,291,563,375,537,142,
693,818,699,324,355,183,125,241,122,379,123,160,499,362,233,824,955,888,448,
002,201,260,626,226,989,107,392,309,873,216,419,157,631,149,389,533,383,491,
337,644,429,570,209,293,057,146,820,348,714,988,529,409,515,834,395,569,139,
583,791,153,058,833,593,907,787,919,229,664,747,115,614,650,505,180,866,278,
329,236,014,039,029,749,188,377,304,597,663,729,761,735,543,095,559,755,288,
208,912,932,395,042,476,486,432,007,399,854,413,216,925,827,314,414,273,491,
198,568,550,001,015,923,594,970,086,502,396,604,279,408,710,401,710,031,011,
237,096,756,077,160,760,690,918,941,078,549,109,699,618,753,056,707,480,646,
187,814,421,917,909,075,212,814,739,132,547,225,349,713,937,623,509,803,625,
380,191,114,011,110,216,399,357,504,389,650,035,546,610,001,940,743,404,661,
763,568,935,510,828,677,085,010,749,450,412,755,850,798,879,310,012,476,384,
947,149,712,357,134,643,050,902,671,904,582,128,243,080,938,312,494,343,080,
211,588,240,764,726,340,909,667,604,187,812,584,563,055,662,466,672,638,633,
680,639,066,060,957,229,502,050,197,115,184,101,291,603,474,998,146,879,748,
084,246,926,032,092,726,941,204,565,653,983,489,365,721,562,485,883,016,532,
729,631,002,947,859,019,192,032,358,779,435,119,139,591,118,477,118,764,629,
189,545,468,077,563,424,002,955,447,345,820,986,842,422,042,771,571,515,663,
203,143,296,014,133,340,143,938,476,768,584,236,036,879,686,937,806,241,954,
105,184,765,947,771,384,928,389,618,335,674,532,157,485,152,344,111,049,224,
370,691,603,642,360,028,592,679,787,430,288,540,843,260,033,513,281,882,493,
766,514,222,664,818,203,760,069,210,825,220,340,848,798,452,717,201,311,644,
488,854,861,943,409,188,307,652,972,897,667,114,248,596,823,649,934,385,815,
301,133,588,837,071,048,112,906,321,748,760,909,554,162,336,854,604,230,160,
474,768,557,110,888,368,063,579,083,240,047,303,068,469,130,960,895,251,923,
537,928,555,828,574,963,134,037,801,066,640,989,286,049,593,571,875,945,294,
735,999,038,431,021,148,361,271,319,535,945,867,910,257,359,686,792,231,031,
898,945,754,925,619,918,282,791,185,833,738,591,480,411,328,920,545,970,493,
286,752,639,033,760,269,491,331,858,497,839,791,721,765,496,099,541,354,094,
186,237,862,493,115,354,077,212,232,785,768,136,234,213,924,450,681,994,514,
011,814,337,198,158,929,848,029,302,007,621,969,348,357,550,245,753,125,489,
629,412,670,011,406,464,741,940,533,333,607,740,809,973,914,887,126,082,131,
285,977,424,962,166,043,696,198,191,794,395,929,652,947,290,286,293,931,888,
711,701,979,037,851,299,329,769,802,356,785,663,261,622,019,684,476,843,302,
350,983,912,430,281,739,641,107,973,693,367,303,254,143,251,169,753,632,656,
186,769,929,324,616,900,544,329,892,817,742,143,349,459,494,257,555,933,642,
445,584,170,255,071,245,164,065,327,469,528,172,538,619,298,006,635,617,025,
355,650,847,617,215,209,673,526,968,830,349,691,062,182,373,813,327,389,922,
871,124,762,137,636,145,539,537,297,878,469,735,717,838,963,374,285,880,256,
247,504,233,222,725,736,815,604,790,738,153,608,903,228,010,528,859,107,116,
098,698,310,697,662,261,829,023,741,429,990,711,556,078,383,994,706,430,177,
926,335,055,718,637,551,608,128,018,570,048,294,309,550,171,895,574,564,689,
739,680,485,483,250,932,087,991,520,128,205,579,635,516,337,929,033,746,178,
748,293,209,569,213,356,616,534,905,772,850,062,889,518,263,016,247,889,527,
180,545,017,095,484,974,270,052,809,634,583,372,674,987,075,583,213,877,839,
196,077,778,184,181,881,755,502,439,026,710,015,142,395,387,670,208,454,136,
046,676,214,165,069,169,995,970,442,110,479,964,891,120,200,544,722,012,906,
186,645,338,389,799,657,826,784,143,175,124,532,715,358,976,589,734,372,811,
768,357,527,742,672,226,937,661,071,401,651,947,138,210,279,395,104,464,671,
142,493,775,659,730,624,366,623,150,818,909,854,316,714,858,747,221,169,260,
265,987,051,653,215,983,923,749,966,977,299,828,929,860,205,149,734,605,253,
114,659,177,496,182,022,370,602,273,954,975,731,320,006,875,062,823,521,034,
310,317,373,514,706,800,538,450,684,067,155,588,244,126,084,381,308,652,492,
209,863,214,038,187,979,215,816,504,216,514,579,849,400,014,097,426,952,453,
263,414,669,211,310,112,579,900,923,220,608,919,778,113,233,042,666,519,768,
087,492,726,588,014,650,936,173,022,842,160,050,854,980,135,708,031,769,692,
213,760,783,095,003,146,928,933,492,477,387,983,501,859,717,028,928,143,237,
718,796,568,025,389,724,316,026,987,103,448,504,730,333,141,762,842,724,611,
524,090,854,925,052,385,410,273,106,770,013,717,150,049,263,691,986,374,195,
753,467,421,336,718,944,167,252,853,773,067,343,733,801,182,803,826,634,230,
929,452,619,127,665,657,290,339,832,228,807,019,617,829,789,519,536,453,962,
480,829,158,376,105,038,202,590,795,875,061,350,052,623,230,827,726,996,144,
935,477,315,290,659,385,625,892,005,415,590,379,078,518,240,775,340,799,031,
908,609,183,373,046,667,796,043,457,452,413,040,555,056,967,721,548,777,149,
274,960,189,283,322,036,317,442,339,285,559,603,024,754,084,165,902,369,712,
131,803,813,984,952,055,639,131,424,291,189,149,354,863,504,494,925,591,219,
262,206,254,524,184,459,850,116,652,185,660,893,217,353,784,540,241,230,090,
121,515,149,367,732,341,333,189,775,700,139,146,837,536,507,037,615,334,464,
814,153,761,021,517,003,755,162,197,572,743,238,585,327,705,249,668,124,559,
540,796,419,861,468,326,918,882,934,687,986,456,090,690,242,323,635,743,266,
452,247,451,721,337,875,858,288,223,045,863,455,574,875,974,899,854,581,213,
185,328,524,791,251,633,821,872,903,316,914,785,470,655,914,240,462,502,968,
458,477,011,816,832,559,220,897,219,827,391,629,134,724,252,557,697,312,786,
453,464,263,515,357,282,051,550,218,538,764,713,614,511,351,314,027,917,071,
226,460,565,526,191,019,924,165,429,523,487,064,656,445,828,794,277,594,028,
442,037,296,601,897,373,615,788,612,750,295,959,156,801,300,508,208,746,910,
377,731,047,376,667,978,203,561,281,700,874,073,250,341,917,327,812,402,933,
049,684,922,150,228,761,117,975,350,476,465,233,263,640,275,245,602,290,435,
083,115,406,312,612,906,684,028,322,825,030,339,754,589,195,160,620,232,074,
550,649,559,448,449,404,323,573,172,269,895,537,179,862,663,137,920,737,524,
148,804,797,297,212,479,847,777,401,352,706,798,733,079,907,729,165,405,938,
338,426,504,180,514,645,316,669,455,454,076,673,440,165,677,824,282,975,859,
151,175,114,153,905,034,836,574,580,617,703,214,579,169,025,315,475,769,021,
955,236,600,992,996,061,908,192,931,790,932,116,299,744,157,288,603,901,539,
489,349,834,289,236,504,579,279,411,016,432,657,215,400,141,970,808,329,247,
830,713,486,407,223,771,282,993,101,160,675,262,492,024,576,780,253,211,101,
468,740,456,791,092,436,402,756,299,121,542,083,766,519,694,548,004,920,333,
398,567,966,934,880,165,803,866,760,733,839,232,243,526,650,816,152,204,041,
866,807,126,542,763,793,225,632,110,703,513,213,337,290,923,100,911,495,248,
053,286,511,279,724,205,477,270,983,962,678,111,461,715,739,440,959,744,379,
174,864,311,478,905,351,500,230,775,089,408,122,497,154,679,443,249,423,410,
694,442,517,626,826,240,895,341,804,240,896,084,565,819,363,017,140,824,280,
643,608,146,866,178,297,090,489,822,180,774,044,585,094,383,258,854,330,289,
345,275,089,285,223,739,797,929,856,441,644,098,723,991,617,118,820,595,587,
265,855,086,074,704,722,007,635,916,143,384,461,954,900,360,690,627,235,434,
951,648,133,908,580,182,411,369,100,811,760,601,928,025,420,562,733,069,201,
169,604,394,564,196,461,815,819,456,676,545,820,828,226,597,446,346,858,124,
693,249,598,099,604,599,727,822,814,320,636,847,388,365,141,975,871,876,350,
525,932,816,916,758,656,746,542,174,952,075,625,142,630,772,140,713,733,099,
449,710,210,807,430,189,913,317,849,116,234,803,056,228,819,093,094,981,252,
641,183,475,417,853,082,553,039,475,690,226,464,343,703,277,264,585,736,341,
326,146,999,642,208,529,861,097,682,684,145,053,996,647,430,681,757,911,724,
790,680,070,463,758,796,431,658,025,219,424,724,038,464,163,322,108,023,434,
338,195,870,975,240,775,403,675,500,542,946,106,792,012,837,478,663,439,852,
105,775,225,815,652,118,804,986,872,831,162,946,559,465,469,701,121,486,059,
496,606,628,097,760,620,447,881,377,167,607,246,466,293,436,998,047,434,046,
088,462,272,470,307,054,907,907,402,823,266,410,285,223,292,125,046,371,536,
586,688,247,353,215,107,832,975,460,851,421,246,815,112,687,940,230,001,129,
199,314,916,142,784,541,576,537,650,857,439,936,096,539,080,700,198,288,450,
132,842,532,895,214,931,823,817,410,018,755,985,656,837,409,596,653,700,318,
328,100,710,141,068,881,193,238,452,822,717,170,372,681,582,528,710,112,990,
601,492,021,610,522,434,514,579,267,360,151,073,371,149,607,047,714,162,877,
859,786,560,215,718,877,840,303,478,262,239,011,049,884,740,636,782,807,606,
491,185,838,600,623,311,729,987,719,509,989,495,379,051,601,840,573,644,578,
683,846,537,376,646,631,069,957,616,340,408,957,211,362,831,595,444,542,316,
635,759,475,317,856,942,017,397,258,985,388,615,223,669,448,334,790,036,214,
365,094,337,316,532,312,890,309,830,716,287,090,662,849,926,187,985,295,829,
042,453,960,212,057,048,541,100,167,845,569,504,068,112,168,745,730,790,607,
837,476,724,463,882,617,501,537,967,633,423,961,219,913,806,241,831,127,225,
886,550,986,548,829,568,032,024,586,170,168,362,772,044,037,723,634,364,111,
837,015,658,267,369,830,414,335,942,739,403,397,827,623,927,037,291,504,566,
856,878,905,194,452,163,103,489,136,261,022,907,353,774,695,309,963,338,327,
384,953,084,242,071,665,986,043,697,250,446,194,240,305,844,202,299,874,214,
007,605,027,751,949,237,291,138,548,842,606,777,058,856,692,635,034,631,314,
253,456,172,858,218,336,924,704,681,377,040,565,706,643,720,728,676,592,223,
831,155,978,576,476,851,616,940,034,446,712,886,772,871,064,709,517,616,659,
492,614,947,449,371,080,092,132,404,716,702,141,978,332,007,874,614,310,294,
534,697,616,078,362,827,101,265,389,175,893,829,222,940,316,465,176,256,448,
559,323,513,085,123,492,813,943,489,093,797,263,605,907,710,560,747,392,463,
114,821,320,943,766,107,921,927,041,866,277,012,749,943,994,732,968,920,886,
761,600,511,972,609,328,569,177,294,898,130,160,556,788,297,419,207,137,276,
320,376,913,621,586,135,949,984,748,579,159,727,357,593,441,008,800,615,563,
500,989,131,664,962,674,984,367,952,362,340,340,861,118,355,306,126,755,253,
696,816,212,637,874,705,113,183,725,560,070,246,553,128,192,247,330,694,950,
556,614,453,569,265,937,564,630,871,976,221,920,838,558,326,027,930,895,197,
581,510,998,029,059,273,784,453,827,240,222,047,302,639,993,843,379,774,027,
904,843,129,621,137,388,924,003,085,608,737,711,884,848,442,608,202,773,039,
124,042,812,216,989,885,442,394,884,600,672,677,024,136,663,560,235,355,873,
815,843,916,331,984,811,242,680,620,531,991,300,612,561,795,080,106,676,230,
886,662,797,354,271,252,208,436,397,267,679,566,413,209,479,537,605,503,909,
075,321,746,303,288,432,846,309,486,466,743,141,005,064,767,885,310,051,299,
858,172,760,388,186,607,902,616,811,326,956,716,303,669,398,209,795,210,266,
928,692,947,529,229,157,435,790,228,917,513,628,660,056,133,814,941,664,053,
293,041,000,743,596,850,403,097,514,814,827,086,730,846,953,016,479,957,569,
045,179,751,315,677,999,695,633,981,679,314,889,112,921,863,736,192,888,258,
952,465,964,285,264,986,875,826,385,235,928,413,526,450,838,694,806,733,425,
967,746,362,920,172,415,082,021,383,890,219,785,803,234,537,418,639,930,548,
059,781,817,338,960,039,781,045,064,131,800,458,168,615,405,631,118,099,445,
180,680,018,408,073,893,683,862,258,996,391,248,188,372,439,681,163,468,346,
756,723,100,566,134,509,976,681,254,245,624,806,308,156,870,390,662,658,775,
089,467,947,603,982,976,281,608,182,893,643,741,142,725,231,314,917,470,541,
326,981,989,593,306,841,791,000,408,656,884,024,260,210,898,740,703,436,578,
884,953,385,506,036,187,604,171,212,775,463,912,243,732,084,529,232,849,769,
123,842,792,889,651,109,924,586,331,666,956,104,654,129,352,375,468,401,078,
168,383,820,529,583,730,062,572,467,687,258,238,503,437,370,563,341,642,852,
090,121,023,352,552,118,524,853,725,040,199,981,948,479,676,929,527,844,286,
578,761,707,590,184,554,402,815,619,431,140,332,698,739,212,500,465,893,710,
938,052,742,448,864,086,764,473,094,288,281,602,053,267,150,763,942,964,264,
478,260,882,009,755,485,760,614,968,226,789,058,761,675,836,541,693,726,428,
594,772,264,401,097,697,382,931,863,331,223,548,148,200,799,914,950,433,736,
441,168,393,660,154,637,122,879,541,137,443,628,348,661,188,018,198,845,736,
775,261,123,494,028,595,591,915,823,605,408,807,400,403,630,900,067,637,827,
891,624,878,040,643,555,694,788,425,109,965,057,116,996,675,943,220,121,699,
265,353,454,272,158,472,172,921,308,235,148,783,033,296,407,532,745,307,274,
021,931,093,474,736,321,518,541,902,697,698,185,302,009,090,293,117,796,538,
350,375,881,199,449,477,822,073,529,180,820,654,699,111,150,135,156,079,809,
999,544,790,004,036,600,886,539,323,344,578,112,288,888,455,694,098,376,925,
466,395,422,842,657,309,243,482,687,036,668,696,715,181,026,306,653,026,759,
991,845,584,449,911,166,207,909,383,574,969,569,961,033,381,185,058,175,316,
286,586,657,923,254,084,221,630,603,719,570,715,202,561,154,215,811,286,649,
139,381,683,127,652,762,721,483,769,225,444,180,290,006,822,446,235,095,147,
410,266,279,096,802,020,434,028,401,116,468,662,103,532,285,143,953,200,721,
045,425,328,616,431,922,740,157,586,222,313,966,248,048,117,336,465,793,306,
048,298,094,292,693,158,472,619,556,296,077,443,430,869,263,157,764,285,625,
781,444,128,550,293,555,501,432,806,767,350,176,964,696,225,618,471,133,815,
160,681,421,997,626,803,182,381,181,193,979,026,917,773,554,528,577,293,069,
941,953,852,470,876,568,485,942,305,922,019,551,800,955,430,626,818,306,171,
556,837,022,853,702,784,738,403,219,586,998,552,135,521,878,287,946,318,772,
270,590,179,286,736,894,677,366,262,994,036,784,868,987,964,751,634,342,270,
005,262,847,022,214,909,435,231,866,340,875,920,022,751,452,373,067,498,990,
041,022,123,513,130,161,726,586,377,246,089,815,972,584,654,695,448,194,476,
739,790,677,495,762,804,578,677,024,377,587,035,898,829,888,378,348,615,466,
701,630,795,565,143,375,635,012,758,737,835,225,554,995,560,317,847,032,843,
368,798,708,467,673,306,619,666,236,675,922,623,869,157,458,881,706,346,818,
286,936,628,336,643,341,887,528,751,534,749,657,522,293,843,040,944,416,789,
287,075,767,106,461,489,671,066,522,272,765,960,620,301,425,865,936,332,624,
703,973,571,583,001,431,133,616,587,769,249,426,552,472,881,706,100,512,848,
379,789,919,622,155,925,245,780,347,566,157,332,764,738,732,299,520,121,556,
543,761,195,827,210,676,758,289,442,229,720,162,572,951,314,324,785,972,068,
199,032,475,296,108,185,869,626,425,597,273,552,695,466,910,751,264,068,654,
277,791,263,311,402,462,051,554,893,317,786,602,219,839,920,568,749,635,715,
143,593,945,148,269,755,198,695,513,117,863,740,674,601,030,683,453,046,103,
661,075,784,373,536,016,048,668,564,512,480,738,499,028,019,583,953,363,472,
541,306,711,921,767,506,232,848,045,145,182,126,220,079,860,821,484,237,921,
818,942,685,827,773,538,877,971,871,312,429,604,367,598,670,194,151,799,641,
375,551,169,381,184,283,741,658,122,196,087,749,839,693,827,728,658,911,344,
442,772,505,677,738,143,538,940,065,811,435,330,850,846,161,853,981,672,084,
981,275,094,064,822,408,621,688,836,893,340,040,977,365,792,774,766,164,833,
102,794,059,291,279,374,878,220,341,721,285,194,899,980,830,043,496,059,418,
715,299,825,536,086,521,390,316,062,591,146,884,426,704,036,787,298,903,780,
652,156,204,629,416,325,196,947,806,015,822,647,311,762,895,419,960,137,158,
807,520,507,079,598,400,276,594,070,093,687,833,281,855,707,658,462,914,664,
244,629,004,884,182,418,365,555,046,612,197,125,369,192,166,652,183,535,998,
306,839,659,627,972,602,857,511,221,064,980,842,413,851,621,133,725,947,699,
739,110,018,097,654,375,282,982,965,546,404,530,832,296,767,328,989,647,325,
516,655,491,056,719,965,989,446,747,157,190,656,353,231,003,213,762,483,790,
653,787,900,388,736,100,562,295,429,013,261,865,286,240,248,486,624,029,006,
704,077,918,058,894,684,455,861,717,250,760,993,097,753,978,304,203,076,210,
578,685,392,996,602,595,347,017,106,648,124,237,413,746,827,883,806,212,757,
428,471,456,322,126,757,965,739,582,106,307,328,433,203,236,079,435,969,002,
745,921,701,196,701,087,684,771,553,974,886,390,032,014,459,008,013,364,328,
507,007,694,168,818,571,253,500,366,810,132,985,969,430,538,720,543,577,337,
144,568,943,391,084,250,002,251,002,053,452,160,502,699,376,110,539,170,642,
063,494,044,754,058,791,234,648,437,690,170,988,027,165,815,337,090,296,220,
469,460,726,355,856,509,003,065,012,038,168,356,639,937,333,136,334,339,683,
647,778,023,485,659,022,667,914,515,230,657,018,737,647,496,705,710,348,205,
895,910,462,225,720,967,041,544,152,812,412,560,904,050,700,480,741,247,795,
673,737,406,709,611,125,719,956,299,671,795,564,334,447,561,938,487,174,213,
428,927,629,243,327,431,340,415,557,517,912,801,475,324,029,177,775,123,081,
826,078,024,959,915,995,562,980,924,249,211,549,641,739,736,056,878,317,867,
534,374,392,879,738,089,621,444,338,992,991,962,386,332,508,159,851,621,576,
802,920,784,275,790,069,428,282,781,094,927,879,487,671,379,325,428,313,033,
965,228,542,611,415,347,477,826,942,752,157,283,065,841,228,725,021,981,763,
779,207,153,270,511,349,011,805,457,310,165,552,464,395,147,246,829,570,970,
189,025,825,431,864,427,309,919,766,043,559,741,391,272,187,246,405,272,799,
283,898,733,569,220,687,775,502,544,436,440,901,176,290,745,908,993,392,153,
065,327,301,169,788,565,789,582,781,358,695,982,669,628,600,489,521,949,777,
956,896,724,236,999,164,182,657,516,621,853,418,723,894,508,424,847,485,499,
230,014,134,049,020,423,198,271,154,192,218,817,772,231,567,486,656,275,652,
525,703,891,304,247,439,861,135,932,134,282,995,191,481,383,481,399,876,263,
953,909,343,087,695,968,877,751,961,098,380,269,634,468,408,341,631,648,242,
104,338,124,556,092,207,341,310,940,386,356,275,739,937,227,729,145,602,100,
676,815,496,879,237,156,317,011,414,373,970,659,438,587,073,204,142,603,473,
691,612,995,041,500,498,779,972,537,573,875,788,956,959,480,273,266,776,834,
610,100,315,491,475,069,542,818,706,767,513,100,076,736,630,690,687,455,388,
872,228,650,504,109,645,674,944,367,655,334,173,943,598,680,862,872,697,011,
008,358,237,402,800,202,993,523,095,826,956,842,435,698,324,942,151,610,078,
714,155,071,170,681,872,429,912,383,016,084,437,250,328,173,335,503,236,794,
902,954,156,318,682,820,905,675,144,611,920,709,480,581,890,533,978,730,842,
920,236,975,847,404,164,596,579,792,105,296,158,384,676,932,081,084,411,251,
660,554,858,438,888,921,484,733,376,852,395,599,362,696,381,812,842,116,623,
395,985,245,907,792,608,394,954,305,317,970,640,491,810,750,000,276,690,378,
792,044,436,407,171,452,961,071,294,449,599,252,982,600,179,626,287,093,596,
883,492,106,770,357,031,855,930,703,368,376,572,978,408,580,244,619,385,647,
927,947,846,858,683,502,928,984,002,560,576,151,184,807,853,216,941,878,871,
582,335,534,751,949,012,463,039,957,729,951,693,272,090,668,740,198,574,576,
633,027,311,528,190,585,818,892,463,028,541,964,337,570,098,469,608,699,815,
383,466,978,457,424,597,459,345,237,604,381,908,996,670,002,710,566,131,777,
747,610,338,862,444,835,163,076,540,094,382,559,672,416,873,582,878,944,286,
614,197,313,541,358,308,878,279,000,754,698,829,084,165,274,923,640,273,521,
353,895,886,739,477,548,171,261,959,915,964,087,060,020,858,755,024,374,020,
318,148,950,775,425,190,207,037,597,992,756,124,054,820,443,816,548,988,076,
038,810,704,616,495,671,932,683,097,560,315,565,097,264,483,101,400,700,794,
626,998,907,920,929,903,189,246,298,489,992,705,095,482,775,645,742,692,844,
606,441,333,665,659,466,887,473,501,416,284,028,280,947,953,063,225,168,105,
804,564,517,999,355,973,756,853,785,381,657,850,393,540,696,454,109,065,123,
800,770,752,663,423,959,429,723,714,621,991,132,187,639,690,498,985,032,935,
134,086,256,201,855,544,530,395,922,558,033,794,232,991,329,104,120,984,086,
681,199,136,571,284,444,876,111,361,838,730,322,699,166,745,291,616,422,774,
709,519,230,079,092,563,366,817,142,617,961,463,237,226,972,910,944,716,362,
469,739,911,977,782,710,419,593,618,280,901,065,683,334,367,088,238,538,255,
394,863,885,401,844,544,003,148,211,174,654,413,562,345,983,475,992,545,292,
831,514,492,181,016,843,515,695,245,207,019,387,799,211,628,440,050,018,320,
597,896,362,911,265,460,075,259,091,836,991,903,674,464,375,277,025,948,648,
154,415,629,170,300,397,566,256,593,746,620,967,417,342,828,284,424,375,886,
494,410,033,048,069,055,753,934,456,372,830,251,970,180,797,472,004,528,241,
488,360,628,174,702,331,670,866,670,435,811,742,953,069,465,795,788,620,899,
967,087,290,970,778,613,433,517,820,172,010,565,997,117,182,516,893,522,772,
539,734,063,695,739,021,477,956,721,524,682,204,283,466,103,495,450,793,782,
268,530,952,948,235,455,705,309,530,357,264,881,796,190,117,857,309,339,713,
606,132,748,534,789,690,671,099,690,330,147,938,906,203,312,994,176,121,652,
465,946,194,178,824,547,729,425,897,574,680,047,049,516,963,041,889,370,735,
234,585,131,635,132,285,018,028,155,260,686,521,257,991,963,815,255,626,158,
999,615,486,968,786,019,464,099,413,364,154,247,548,680,236,694,720,939,483,
224,288,489,210,892,863,667,354,383,129,682,111,127,473,290,483,974,273,273,
300,790,068,130,111,336,952,458,174,230,553,627,269,031,801,977,648,572,446,
482,017,440,263,262,637,982,717,475,282,283,354,440,136,163,431,863,316,085,
980,000,328,319,746,021,211,549,340,772,688,889,261,901,678,142,995,210,770,
293,947,723,997,452,027,908,255,318,518,468,134,518,319,225,866,186,863,290,
254,617,443,728,004,521,707,127,778,283,520,491,671,890,502,266,206,298,902,
376,861,766,969,001,934,116,291,714,649,652,225,852,360,483,913,044,525,868,
264,882,294,151,439,351,849,795,102,053,873,101,682,435,279,691,540,880,113,
725,224,916,557,971,135,543,169,092,894,136,956,420,350,836,194,141,538,774,
764,299,792,216,091,628,152,933,186,389,775,355,990,714,419,971,140,282,827,
787,317,963,146,973,411,243,059,442,760,158,477,281,587,695,852,588,861,740,
062,472,076,804,881,923,024,267,089,504,390,669,689,287,551,060,126,128,603,
965,128,930,272,243,968,028,406,733,433,361,139,836,863,285,681,490,201,664,
261,161,286,648,699,531,885,649,445,687,994,599,652,359,037,141,531,577,612,
143,503,410,672,072,123,870,424,926,075,591,567,148,911,228,252,241,403,017,
982,179,663,742,836,439,716,199,431,121,502,026,160,292,007,309,594,172,815,
195,096,973,457,259,370,111,099,117,506,885,365,745,944,983,961,668,996,455,
617,746,412,251,896,916,249,441,980,940,928,291,958,077,898,651,716,411,321,
887,270,978,891,867,247,237,112,908,710,252,911,634,606,740,568,764,418,483,
023,541,335,928,638,018,684,940,947,533,884,563,340,164,002,001,861,479,349,
019,985,460,234,849,660,290,518,741,172,685,390,456,967,959,938,712,986,456,
901,097,469,463,621,704,945,125,561,149,107,996,285,603,303,043,384,759,361,
393,690,074,405,859,312,623,926,255,230,840,914,736,361,024,183,415,169,324,
829,524,771,879,944,407,595,157,159,546,025,264,302,908,356,951,696,741,839,
934,175,372,198,525,162,709,781,060,836,643,449,337,826,884,356,613,539,120,
458,503,830,874,263,224,491,418,585,341,668,210,063,804,361,105,082,739,793,
507,910,115,634,710,470,458,829,210,021,193,552,170,039,168,027,463,486,148,
612,426,917,055,540,859,476,809,614,761,772,248,336,003,532,157,487,325,507,
084,897,158,501,721,483,834,106,600,549,624,733,217,228,746,234,769,054,093,
246,272,533,967,549,327,061,448,596,329,331,519,198,941,469,276,054,813,305,
580,869,445,959,550,844,121,073,047,218,592,772,877,820,693,255,628,572,936,
382,568,548,585,729,922,567,727,281,236,010,164,368,387,114,363,164,729,736,
819,888,183,950,869,752,980,310,249,920,777,551,151,999,846,891,378,200,551,
787,106,283,843,570,850,168,203,827,424,118,371,105,180,794,164,375,943,129,
655,316,942,561,925,910,682,573,273,983,508,866,217,122,971,271,141,971,532,
348,405,515,783,134,064,945,743,113,751,813,291,145,849,721,340,118,875,997,
788,162,549,269,160,576,833,156,061,712,838,640,128,120,614,046,743,411,585,
202,990,154,351,043,086,722,175,021,621,967,135,871,188,468,448,077,523,697,
392,610,183,810,903,701,696,608,534,926,826,057,354,788,741,792,026,680,612,
800,667,806,110,041,789,555,533,670,459,471,556,740,230,215,823,158,039,332,
315,868,455,007,333,132,606,001,557,784,347,998,941,995,230,835,376,985,084,
569,892,539,037,504,183,410,930,917,803,480,900,366,670,971,715,277,013,270,
465,799,663,869,436,794,200,722,253,483,000,366,901,233,701,734,065,233,884,
411,443,778,285,571,109,724,546,640,991,715,671,302,900,897,381,331,366,198,
681,194,515,540,951,561,352,370,761,800,881,590,302,639,078,153,105,963,188,
137,057,649,399,484,082,406,844,380,814,916,273,593,343,447,410,273,300,830,
071,908,725,553,255,802,414,118,294,245,463,458,616,920,818,818,866,498,467,
230,498,437,682,244,657,414,532,819,658,893,503,212,152,462,210,381,280,839,
874,822,184,702,199,816,866,687,022,075,290,364,219,738,351,178,416,346,166,
611,320,042,575,534,333,086,062,732,836,734,384,336,351,146,053,981,731,876,
023,269,110,660,746,043,760,574,689,045,924,075,886,454,913,830,119,169,126,
241,217,583,244,516,533,059,811,921,398,428,746,428,912,751,274,257,002,632,
284,680,269,274,456,317,433,977,452,892,955,646,056,625,349,556,562,350,271,
187,735,578,778,545,446,577,061,050,418,096,944,619,375,542,432,228,269,251,
756,756,730,530,800,894,512,693,533,575,446,045,637,403,959,836,190,849,277,
991,064,249,998,730,258,428,764,476,497,160,552,146,191,287,672,511,027,053,
667,720,663,694,595,437,162,756,906,141,462,483,836,178,026,327,139,044,157,
930,694,276,784,177,748,317,935,729,426,678,466,003,442,051,589,315,464,157,
268,457,384,364,952,965,256,897,348,151,499,096,697,035,929,592,388,599,037,
014,356,372,232,144,755,854,782,566,765,139,342,892,266,186,713,578,097,970,
076,201,825,858,218,519,864,096,309,399,357,980,826,905,503,052,611,735,544,
168,043,830,334,636,763,056,890,607,296,757,558,047,501,523,198,302,163,724,
068,017,873,059,373,479,174,700,441,345,338,110,167,926,184,769,110,814,852,
025,776,740,696,776,076,232,451,715,485,653,537,582,998,702,856,205,488,015,
019,517,725,107,096,673,309,626,238,136,876,189,635,758,546,087,240,263,930,
601,575,575,102,279,731,439,523,393,661,891,210,369,518,357,267,368,903,019,
704,807,182,608,476,298,729,538,536,758,776,926,823,728,718,955,351,955,226,
721,081,306,128,849,914,282,033,199,311,358,034,876,066,545,787,576,225,156,
728,079,899,500,430,046,313,439,926,864,948,000,658,865,039,371,624,457,860,
990,636,617,639,501,150,321,064,140,717,379,872,594,392,098,838,369,284,212,
109,879,120,577,783,535,078,569,569,211,336,327,782,734,935,070,862,823,846,
276,212,398,040,461,341,474,701,253,116,000,970,947,879,896,341,168,024,131,
063,948,439,453,549,052,734,335,090,805,825,938,564,221,901,954,296,732,288,
832,503,491,556,756,949,395,712,202,547,107,412,793,256,380,572,364,772,810,
245,665,586,499,196,085,365,208,581,750,774,649,321,966,366,753,867,761,084,
040,505,101,522,552,461,698,059,253,499,379,560,584,811,167,343,404,630,142,
231,176,134,839,322,240,128,457,856,158,944,058,385,465,137,027,066,281,346,
044,090,569,654,539,457,763,198,504,180,086,692,914,657,877,001,007,497,520,
828,986,460,486,138,253,392,193,649,582,049,888,117,117,286,061,398,635,286,
475,468,512,885,154,453,613,016,449,308,746,985,891,063,986,257,324,990,681,
763,942,392,507,586,860,597,342,540,028,034,076,255,045,122,001,708,773,740,
602,412,814,609,486,523,128,461,633,210,822,362,291,175,647,954,074,958,502,
882,193,831,790,038,634,207,606,533,775,110,435,934,820,103,551,163,623,048,
927,923,402,770,951,731,636,794,476,930,775,853,331,601,607,137,825,540,388,
396,743,713,665,799,787,038,576,711,688,290,968,734,150,113,322,381,457,244,
303,908,120,967,796,888,539,538,931,538,187,831,965,549,847,119,933,940,632,
068,579,430,551,455,276,875,428,293,097,169,809,062,711,575,688,431,261,253,
950,201,526,717,129,523,671,321,743,716,686,791,109,680,670,392,274,044,003,
518,027,647,424,750,223,587,754,850,959,316,805,962,659,171,109,528,192,917,
492,909,556,923,712,561,889,386,264,548,639,763,966,730,890,888,476,373,272,
334,571,572,769,584,513,314,760,607,768,119,039,197,924,241,231,107,114,655,
512,550,688,515,834,882,643,457,461,159,303,964,046,957,967,319,078,885,896,
698,046,749,328,730,519,966,635,890,193,770,881,465,059,857,414,735,747,307,
675,794,911,410,500,605,876,713,964,969,050,086,878,619,277,657,421,803,745,
534,916,097,704,223,579,407,167,346,288,885,429,776,680,408,715,025,358,574,
366,434,249,973,239,271,726,632,770,140,988,792,913,343,328,827,101,420,894,
284,946,800,197,263,944,216,344,561,174,993,391,919,196,532,499,191,316,442,
339,726,254,602,609,753,349,912,801,930,627,244,561,545,803,219,536,635,176,
268,766,030,367,283,967,654,181,003,264,538,385,418,440,596,610,340,116,849,
422,021,235,527,118,449,680,345,037,218,306,751,048,981,495,120,172,116,679,
827,649,696,878,429,087,987,081,222,688,553,014,254,833,785,993,994,272,451,
630,447,838,968,052,506,736,487,199,988,463,212,442,542,623,534,494,350,227,
607,291,673,422,478,067,644,032,030,056,885,209,378,099,232,301,146,523,487,
292,712,908,700,749,984,347,066,419,478,979,271,777,406,209,930,249,893,285,
997,524,189,444,225,743,390,158,244,888,109,568,804,390,177,577,473,595,034,
169,286,439,196,847,870,606,723,386,639,361,085,358,979,106,384,123,158,401,
650,460,208,616,422,296,267,595,027,704,259,674,771,648,959,269,429,325,938,
218,413,789,378,630,440,203,651,162,548,984,060,225,477,111,736,515,579,050,
731,257,431,735,845,338,994,448,526,967,404,668,049,287,971,124,796,192,635,
556,547,372,548,343,739,611,700,002,226,701,566,601,307,052,898,166,984,037,
920,629,943,374,314,241,161,690,232,614,290,634,036,105,121,625,768,325,870,
085,276,078,859,364,174,319,417,694,205,643,953,421,077,054,574,069,591,909,
032,463,818,342,109,948,069,113,890,659,209,474,437,027,688,693,369,853,877,
287,924,950,815,910,976,715,684,075,024,061,892,698,684,843,805,647,199,334,
097,872,290,038,898,081,356,992,336,902,203,940,420,779,487,455,940,330,469,
575,717,191,375,925,839,942,757,399,937,367,507,232,779,904,564,699,674,308,
156,606,272,779,588,877,068,473,254,532,163,038,262,774,781,798,834,127,609,
750,308,413,238,674,035,372,094,518,162,021,816,531,728,515,755,561,214,261,
157,664,333,352,372,307,370,701,463,333,396,746,791,637,238,763,040,800,970,
953,083,788,525,708,583,381,103,366,849,813,433,408,229,573,867,737,151,783,
430,048,540,347,652,143,061,084,026,369,786,697,208,481,809,233,092,099,235,
929,554,595,682,914,146,687,989,369,691,230,420,888,974,378,140,879,522,565,
886,074,076,811,500,364,942,456,023,756,286,068,349,772,829,506,276,832,958,
642,241,203,337,505,522,134,909,085,939,618,215,079,198,934,560,255,848,980,
090,705,770,443,659,924,478,817,449,468,249,274,290,732,943,353,679,585,503,
123,310,210,960,795,540,766,062,920,518,846,929,639,255,616,647,538,770,675,
950,573,334,863,175,902,814,694,002,999,668,054,971,024,943,372,795,792,863,
897,719,380,486,100,396,014,278,394,984,836,859,094,086,882,111,958,646,956,
729,570,377,600,817,688,808,520,117,559,600,435,270,854,213,980,416,608,271,
134,342,342,291,587,034,257,330,203,803,618,738,010,789,093,959,042,901,244,
612,497,147,366,681,779,788,610,639,875,685,590,182,992,478,620,866,159,423,
133,828,891,383,972,311,274,839,310,945,584,713,570,061,265,321,563,058,083,
322,434,736,946,444,325,934,638,631,563,593,216,460,336,661,195,558,059,412,
069,543,180,726,171,001,481,651,455,661,108,769,332,388,903,993,124,816,881,
560,855,974,589,350,017,602,649,923,001,360,957,567,246,564,591,429,664,133,
024,345,765,273,449,546,846,049,062,589,406,821,249,464,573,489,284,111,505,
212,212,524,019,276,650,535,647,461,327,418,493,038,907,996,092,454,914,972,
910,222,383,198,056,988,461,008,303,554,567,957,875,725,287,607,988,927,532,
405,431,379,603,051,019,277,726,562,176,222,790,683,915,539,134,524,669,133,
070,496,902,416,451,135,738,417,669,573,591,687,713,475,097,186,038,519,403,
635,163,721,898,799,140,403,820,831,804,751,332,391,193,466,004,436,694,420,
328,563,797,087,357,115,882,217,111,471,281,463,379,497,054,991,498,591,942,
504,836,140,357,068,265,624,511,047,737,397,964,550,838,333,446,439,005,311,
797,483,447,519,726,308,418,350,170,810,851,357,888,228,088,614,202,625,065,
601,388,181,806,811,330,910,633,363,333,330,155,483,162,370,362,706,171,273,
504,188,748,813,166,983,538,940,907,672,871,658,919,686,759,878,069,158,589,
086,042,721,801,738,251,903,249,894,928,731,267,019,530,891,198,565,399,444,
544,745,703,319,066,883,459,428,315,552,273,507,712,564,529,423,418,472,141,
760,782,202,585,824,192,134,106,881,241,415,651,636,990,043,616,758,872,952,
059,268,890,280,103,071,515,731,633,056,351,886,431,640,265,602,976,633,366,
812,145,903,662,711,642,471,541,588,273,905,474,759,938,116,777,434,720,241,
516,196,462,480,083,999,808,190,743,277,278,498,006,171,134,092,366,744,472,
027,925,690,409,159,016,318,366,600,080,491,937,142,066,509,162,855,241,734,
255,730,696,497,913,728,289,184,900,274,829,759,215,860,580,199,303,349,989,
409,719,589,377,426,460,591,029,788,159,923,737,653,747,564,996,233,324,517,
690,922,948,035,123,716,118,154,018,133,206,653,604,508,361,894,105,860,346,
773,919,723,093,437,028,693,400,991,751,710,210,747,235,169,569,140,412,709,
879,100,127,012,111,324,507,751,414,998,903,940,188,158,214,994,218,686,413,
800,948,199,738,777,393,692,412,726,015,393,705,818,908,115,421,185,955,665,
476,865,228,421,797,360,906,161,147,308,054,969,345,289,987,319,898,736,027,
596,856,351,546,414,986,094,197,786,623,873,309,770,133,390,389,097,004,156,
195,415,784,783,863,015,633,755,627,247,176,535,396,836,853,925,930,036,552,
296,444,727,422,647,442,293,364,787,097,430,294,467,671,864,546,832,994,440,
661,824,799,881,350,618,176,133,072,344,486,752,549,253,071,529,201,623,257,
558,923,439,518,156,251,587,454,414,759,447,983,049,009,302,717,918,174,861,
028,960,413,826,847,125,953,979,126,741,503,782,269,318,547,318,329,243,217,
066,435,146,310,727,908,796,073,499,803,372,137,844,695,586,933,833,028,678,
487,346,471,569,502,697,708,334,150,796,766,384,573,947,935,011,405,659,897,
941,016,008,200,212,773,142,004,890,034,383,070,375,895,703,756,097,109,908,
602,971,416,945,311,025,462,507,041,349,911,564,145,261,732,744,461,719,082,
079,712,612,531,947,159,590,482,194,433,494,034,275,337,747,258,401,475,591,
037,197,348,740,156,314,565,655,693,974,810,394,322,858,544,003,833,347,095,
462,647,183,675,977,855,359,899,118,954,474,008,076,798,760,455,139,511,617,
582,105,524,460,226,583,007,309,070,135,548,346,892,981,300,474,018,788,011,
147,310,698,588,388,724,889,678,249,841,880,317,878,831,473,454,403,024,574,
243,046,555,348,220,515,473,902,698,276,348,658,839,262,545,765,411,790,441,
226,761,314,425,050,387,423,812,147,883,891,213,766,517,097,112,891,009,321,
433,675,214,787,610,411,200,433,465,332,655,357,619,861,679,394,697,911,251,
953,599,714,607,319,133,842,573,251,931,616,226,010,186,748,401,589,710,516,
436,372,905,535,228,205,924,107,164,181,798,148,410,677,010,004,909,234,453,
018,214,789,064,691,711,834,886,605,597,534,354,984,540,493,388,083,137,903,
261,220,096,275,855,017,920,432,238,846,722,197,128,639,199,383,689,200,870,
342,693,437,566,967,807,449,293,519,689,317,464,375,019,823,201,350,274,105,
475,375,199,473,947,323,284,304,642,020,342,521,426,213,046,360,564,066,272,
961,361,172,099,725,789,496,260,014,464,686,337,579,873,991,792,579,549,188,
423,957,062,762,766,494,607,953,610,035,974,609,037,564,971,204,612,427,700,
871,355,242,698,293,856,290,970,424,191,431,069,110,135,861,463,751,942,873,
817,726,809,055,485,140,495,678,465,360,582,997,289,207,027,501,503,809,839,
481,391,014,780,437,852,595,618,330,264,512,457,003,766,766,425,207,171,661,
848,803,563,670,739,758,034,128,416,440,311,464,147,471,759,595,715,087,860,
588,963,869,981,838,293,379,020,381,785,398,221,290,764,582,070,259,857,081,
467,343,702,528,870,482,834,207,814,725,211,115,810,774,310,445,393,021,128,
066,692,241,362,928,097,727,584,606,670,125,085,696,968,250,844,934,209,814,
555,149,944,450,064,079,994,041,939,797,500,223,754,761,779,542,389,318,380,
775,311,217,779,655,569,268,020,666,117,919,438,205,129,479,849,435,742,850,
494,328,432,889,756,640,386,890,459,508,436,530,404,827,228,683,496,419,409,
480,641,758,490,526,613,812,580,068,245,059,663,052,820,896,554,181,016,288,
097,919,458,587,965,370,860,500,529,728,180,389,547,936,404,555,534,393,301,
322,080,672,343,958,711,044,795,645,515,199,722,875,151,509,376,534,817,279,
778,738,200,972,230,433,893,174,770,020,636,521,985,464,716,787,595,662,455,
682,525,328,807,069,696,019,986,600,487,871,954,322,579,889,406,783,678,547,
598,007,097,949,328,870,464,000,151,033,677,408,635,388,712,453,258,609,486,
711,874,651,152,275,335,571,888,124,352,709,371,417,517,239,164,666,155,803,
391,080,720,183,407,859,667,595,750,884,478,843,700,846,468,634,761,175,170,
561,064,445,289,880,091,252,406,609,989,943,705,271,662,149,204,599,381,883,
005,080,960,262,351,669,550,399,436,261,652,772,495,845,624,377,772,246,534,
614,042,325,034,367,369,431,781,939,743,753,253,344,506,152,443,108,029,695,
681,949,854,559,514,717,817,102,411,506,302,739,343,485,127,043,543,837,137,
858,545,872,338,977,727,477,380,618,688,026,959,529,783,285,207,761,304,974,
634,303,045,731,019,889,819,095,356,669,218,836,676,867,337,446,079,803,457,
285,678,257,186,157,374,361,615,646,255,059,013,975,232,224,972,464,732,044,
869,685,582,987,283,940,421,678,547,179,047,514,200,182,805,831,566,837,444,
260,422,645,132,938,527,187,656,136,237,311,960,369,751,663,472,371,890,972,
244,244,481,994,683,979,274,003,067,444,766,403,447,522,600,201,568,263,829,
316,064,252,419,333,345,479,638,321,842,102,266,591,482,637,879,176,850,368,
705,929,587,246,481,024,608,263,682,294,567,243,660,771,113,724,311,659,268,
561,215,972,496,149,466,756,189,742,643,683,623,462,532,092,071,634,337,666,
624,978,875,306,995,013,847,176,371,047,566,274,493,474,146,077,020,821,074,
753,713,593,238,829,296,926,481,958,289,140,755,134,345,898,222,230,905,253,
667,457,803,121,013,610,619,968,860,694,893,557,747,242,026,037,690,939,802,
932,390,410,187,786,033,950,399,779,541,884,939,456,846,299,251,772,571,914,
791,977,364,821,018,352,708,471,579,481,704,317,836,440,996,678,948,831,547,
852,546,731,701,429,882,774,015,024,691,404,750,830,167,055,433,062,421,211,
009,146,624,675,503,846,482,707,698,265,055,634,074,312,557,097,252,298,161,
648,479,675,552,169,992,986,950,829,122,521,370,959,104,794,325,128,346,958,
339,186,742,979,019,840,731,469,787,392,618,429,600,207,576,207,762,282,278,
077,610,535,931,652,700,216,855,990,583,851,596,085,058,184,629,535,845,259,
851,578,068,820,029,574,042,000,883,912,379,779,802,789,622,073,050,742,305,
015,293,095,606,767,870,766,541,051,859,990,067,658,918,496,167,081,405,887,
180,752,501,698,294,960,119,797,129,934,932,854,651,708,661,613,033,314,705,
637,525,904,494,384,238,277,353,595,895,148,464,949,745,060,556,645,502,372,
964,104,770,317,643,738,443,646,006,959,462,030,775,598,522,501,034,257,477,
325,621,249,501,045,528,432,300,256,360,627,074,928,624,751,385,719,633,398,
292,630,850,101,486,235,913,540,784,685,413,007,461,081,853,965,748,044,075,
094,582,500,500,062,037,013,750,918,346,613,352,216,856,594,699,564,472,732,
601,559,566,769,498,248,723,369,419,738,457,617,036,050,149,383,499,311,643,
711,408,357,926,682,351,332,966,531,081,679,462,190,749,975,276,049,751,528,
412,365,697,399,812,184,397,023,691,750,646,125,108,398,172,622,627,645,423,
446,084,751,535,619,424,857,571,517,036,821,220,909,684,280,923,326,052,254,
972,257,524,219,252,682,986,260,724,490,518,926,232,062,612,507,301,015,221,
541,915,410,365,700,745,746,696,604,356,533,624,800,545,553,762,682,082,861,
417,335,237,841,109,694,159,626,932,906,314,479,057,265,892,894,316,322,528,
204,814,254,195,379,374,259,447,039,505,438,650,139,745,775,070,546,992,734,
992,173,156,555,094,760,136,306,743,785,055,881,425,806,575,869,486,843,493,
525,657,902,086,997,287,319,470,492,194,571,218,122,114,386,574,714,768,586,
002,168,976,864,876,780,767,214,715,671,316,039,585,010,358,602,345,326,022,
568,485,350,135,781,715,313,037,197,705,481,604,646,282,406,365,804,267,421,
377,519,866,510,678,136,860,295,468,396,245,187,569,917,684,045,770,057,821,
879,562,676,979,989,458,804,023,631,483,257,375,806,685,923,272,118,660,089,
898,605,872,093,626,896,297,244,185,773,584,127,705,000,137,498,377,996,676,
011,483,727,710,421,499,216,686,114,105,791,403,388,810,489,596,880,542,096,
998,956,234,737,942,698,197,566,107,044,337,122,717,201,967,827,598,045,907,
165,276,416,717,519,712,686,783,957,599,122,777,215,713,591,414,371,074,283,
376,926,927,250,468,335,328,263,212,206,871,459,890,327,212,518,573,822,952,
584,021,724,057,255,588,412,271,850,957,574,032,169,659,086,828,432,473,133,
180,726,365,998,892,250,620,821,410,058,347,121,461,644,601,553,856,879,633,
971,159,010,159,736,987,113,707,589,435,339,708,013,311,357,376,040,865,715,
820,561,651,059,259,954,091,100,770,354,416,451,983,439,586,806,155,167,440,
341,015,938,988,631,156,863,244,673,873,954,434,343,840,278,395,725,883,980,
940,695,204,488,579,799,595,353,079,594,003,974,943,573,871,823,297,671,504,
343,650,618,972,812,337,058,121,923,215,441,450,400,748,208,096,566,968,288,
334,237,764,166,673,878,052,910,123,456,472,286,102,972,479,476,162,471,226,
148,242,379,040,720,888,555,325,800,912,780,867,309,949,046,653,058,626,545,
758,641,558,074,232,982,796,117,920,302,521,355,910,382,220,746,858,954,287,
136,984,407,322,384,139,738,019,280,289,833,049,349,740,143,212,291,523,869,
047,414,175,651,673,728,523,918,995,463,838,693,321,139,848,451,796,318,157,
638,522,269,737,067,326,261,928,779,087,492,437,121,979,196,204,715,368,865,
773,511,649,659,939,220,517,917,485,862,185,560,990,683,583,550,019,235,908,
037,307,816,771,315,225,427,921,834,512,477,912,217,961,853,348,278,788,861,
520,967,967,018,943,017,860,834,298,211,318,844,588,450,341,020,828,157,247,
278,700,387,111,599,952,187,528,683,988,288,328,680,100,257,783,437,084,081,
558,442,537,513,395,795,379,718,521,270,400,733,120,474,375,313,287,692,707,
048,432,824,006,635,508,719,228,927,042,420,483,143,342,222,009,307,812,888,
342,978,595,416,662,934,867,363,774,981,474,475,431,595,912,119,886,435,997,
075,698,319,279,111,758,517,632,721,528,609,242,544,404,155,492,462,978,478,
353,274,505,055,498,398,328,583,897,713,151,579,952,887,721,265,017,583,273,
687,446,256,832,523,447,872,017,042,245,382,035,569,786,740,404,896,139,070,
928,516,534,718,236,629,540,588,011,066,131,436,634,243,355,451,608,639,182,
323,343,709,218,047,207,808,963,691,213,865,086,214,499,696,632,184,437,780,
218,739,071,661,130,195,147,484,658,299,617,351,314,964,104,228,623,720,702,
645,779,413,195,469,350,365,884,110,848,994,040,099,768,438,730,047,841,060,
879,730,081,074,405,693,842,861,708,439,343,700,550,015,995,031,997,590,097,
549,249,806,719,016,175,047,545,866,954,341,099,109,186,618,749,505,347,378,
349,378,277,602,511,413,324,028,929,916,790,189,467,397,198,864,211,217,044,
557,125,971,576,796,755,440,763,705,644,502,001,582,488,205,069,740,119,398,
311,943,935,212,237,440,423,800,605,992,106,997,811,158,785,208,314,639,313,
381,457,982,472,380,561,768,771,733,077,017,243,563,467,038,243,688,293,513,
645,296,635,906,246,507,418,530,701,686,148,235,537,140,381,235,100,038,794,
922,338,997,355,554,040,046,941,171,360,237,281,084,740,068,780,139,191,557,
611,208,646,904,016,379,955,051,297,992,412,533,104,038,840,116,730,293,210,
869,551,461,900,310,924,255,091,963,644,060,427,101,885,117,119,569,286,451,
915,971,715,804,287,112,671,643,184,475,665,093,892,260,725,265,208,434,915,
642,093,411,769,184,821,814,392,116,103,780,535,618,867,158,109,502,616,821,
970,420,186,742,281,467,472,639,217,403,845,577,067,215,199,498,847,250,873,
825,028,670,239,933,988,847,078,457,457,093,795,033,000,136,477,251,680,116,
885,510,340,300,919,211,732,431,508,257,955,040,140,189,949,501,992,531,658,
415,273,170,273,292,951,133,917,748,871,195,694,454,572,055,113,717,852,010,
806,432,133,736,262,977,468,705,892,318,243,899,247,690,905,159,721,485,923,
892,858,897,050,998,868,792,100,426,140,975,950,497,615,637,131,399,283,642,
322,163,857,570,341,901,018,485,634,683,475,212,142,793,488,599,868,665,897,
374,737,603,409,063,685,733,778,066,978,036,028,997,217,180,805,195,546,887,
518,658,572,765,941,228,978,499,678,899,941,427,751,781,646,297,492,272,700,
446,633,283,766,715,350,318,395,527,302,023,671,015,210,515,027,049,129,695,
860,663,400,719,924,597,717,345,866,053,047,556,163,394,403,586,268,009,543,
646,605,242,208,645,393,499,055,355,727,730,052,632,576,568,740,647,447,635,
142,427,423,276,755,924,477,892,439,899,411,656,361,367,457,988,393,379,781,
533,514,399,669,938,879,541,919,814,473,761,771,386,402,649,954,484,664,474,
565,880,765,528,475,391,647,538,287,758,137,931,595,481,803,728,691,658,476,
485,060,596,547,312,020,958,509,630,742,689,763,191,787,520,678,459,561,550,
876,393,139,265,095,396,663,461,258,556,145,167,406,272,163,362,012,294,209,
958,626,818,622,222,746,299,858,006,132,090,304,834,270,583,221,906,083,992,
910,211,544,184,923,058,809,983,847,467,872,195,738,641,344,132,807,373,070,
810,728,856,594,661,554,151,614,991,077,168,990,916,115,466,070,609,502,901,
840,014,866,456,694,945,257,118,497,565,108,374,450,522,593,937,496,741,580,
725,334,220,936,109,133,994,173,840,861,558,273,031,677,351,385,677,326,828,
562,515,125,372,845,137,261,402,543,528,335,654,537,136,652,331,934,867,969,
754,530,509,512,951,278,686,618,642,259,714,578,225,874,513,516,358,648,675,
598,437,566,258,504,594,096,224,819,011,815,140,498,328,127,319,528,713,867,
286,072,003,942,894,941,385,156,055,083,306,090,611,486,947,232,776,596,583,
033,032,220,579,453,170,838,303,225,186,827,916,691,210,763,795,879,088,246,
007,669,071,890,025,291,061,642,737,775,213,693,961,250,561,005,689,761,012,
626,631,569,111,981,178,717,664,360,576,557,947,521,072,589,684,861,847,946,
558,271,503,326,846,865,756,649,195,553,092,512,210,464,777,713,481,907,460,
280,123,641,575,295,124,111,987,514,392,226,702,717,084,446,779,517,988,494,
537,566,236,506,201,337,023,363,365,585,929,469,316,096,412,544,564,775,689,
494,431,749,935,862,784,943,022,157,168,948,501,624,222,974,207,080,412,338,
521,646,070,582,739,136,560,739,022,229,670,156,108,916,972,381,522,913,083,
233,326,426,863,924,816,757,717,968,378,183,087,334,903,573,626,253,549,755,
676,491,205,916,191,755,454,978,909,739,760,458,385,235,665,077,701,591,039,
904,990,551,739,467,675,527,627,298,477,302,294,652,836,602,888,559,330,922,
985,453,717,354,278,072,812,029,260,167,182,003,433,563,764,690,490,681,387,
667,936,436,843,318,994,219,310,421,798,238,828,298,440,250,014,528,573,682,
443,911,047,863,966,366,668,889,789,248,040,002,651,266,201,789,948,243,682,
387,928,991,999,231,845,466,913,941,389,907,957,371,850,039,378,534,774,811,
655,986,631,428,319,614,016,561,834,026,125,927,455,428,020,925,367,135,986,
552,792,693,769,123,787,766,225,762,771,935,209,877,740,407,849,657,924,820,
230,256,125,117,620,483,934,156,995,339,371,564,998,343,686,614,360,616,504,
504,291,540,631,488,847,814,846,140,482,843,375,521,054,520,786,525,029,233,
399,988,427,424,543,131,402,269,154,157,336,762,942,917,613,626,511,301,683,
290,290,437,463,039,845,430,804,826,206,369,148,591,963,924,718,114,232,037,
999,291,523,851,064,105,073,547,883,384,724,335,231,279,462,118,520,346,115,
121,950,670,610,430,137,992,771,718,004,145,960,478,442,976,484,647,542,844,
812,782,823,934,701,664,530,672,745,060,513,225,083,176,792,150,896,196,489,
584,093,220,947,080,062,012,251,908,773,105,835,666,759,599,222,599,817,762,
686,268,068,439,017,046,545,733,379,906,166,561,534,336,759,897,159,880,367,
211,063,041,536,335,885,923,215,613,965,173,623,253,989,237,303,072,711,952,
847,698,187,594,436,266,779,396,782,361,450,755,748,635,477,004,555,456,199,
806,407,341,793,891,280,864,594,045,336,576,169,905,569,323,049,435,383,393,
481,833,036,950,253,146,589,979,907,841,694,859,770,481,491,630,406,104,755,
075,557,253,784,587,845,662,804,841,270,616,671,095,790,617,364,647,007,018,
132,134,967,872,502,673,075,508,774,639,649,273,900,922,677,236,883,936,757,
879,891,377,502,200,479,549,600,329,213,046,398,940,461,669,397,435,779,226,
002,550,634,284,045,192,600,061,005,587,623,298,950,503,824,810,142,082,733,
674,080,376,845,451,147,814,046,098,611,995,344,154,010,049,187,231,321,027,
697,055,902,549,851,008,769,307,381,486,421,492,749,613,710,592,447,432,661,
002,442,231,116,892,003,478,583,451,965,871,563,693,114,270,832,277,289,960,
511,020,742,547,811,765,140,108,002,963,864,132,995,165,690,468,266,094,391,
755,374,580,579,942,465,707,585,924,481,044,220,942,167,952,514,984,979,067,
427,555,668,813,716,730,707,393,826,770,003,965,401,227,974,196,120,334,281,
927,724,563,656,662,430,084,360,874,155,257,594,824,344,587,476,114,558,632,
401,984,572,127,978,591,415,577,396,224,855,789,744,912,182,379,403,845,819,
636,949,054,443,430,823,580,894,981,203,876,150,945,696,026,660,736,095,085,
517,466,911,714,685,729,938,029,422,482,393,707,504,541,839,861,732,032,346,
111,749,505,773,591,729,112,601,125,663,876,750,504,468,414,613,921,785,372,
176,039,097,527,750,073,167,130,104,838,012,175,027,265,303,927,727,705,741,
739,289,638,143,166,037,166,150,207,738,462,547,979,504,451,558,556,469,462,
578,110,345,802,179,233,507,595,182,100,927,065,498,651,865,458,098,985,203,
510,678,701,265,184,843,036,379,994,990,552,536,627,172,334,451,034,085,025,
848,237,388,301,205,379,464,044,886,264,011,820,994,328,616,843,924,167,278,
998,845,645,232,387,285,645,608,018,830,783,239,301,237,800,115,168,443,516,
390,555,267,188,307,745,787,251,995,539,960,721,779,964,942,536,705,659,905,
469,576,040,679,981,560,001,839,446,022,722,616,683,517,362,047,914,312,376,
842,350,223,978,736,055,211,736,538,268,567,236,158,051,818,634,142,418,300,
018,380,541,315,677,507,411,698,711,653,886,663,629,020,361,963,665,077,459,
749,534,585,499,363,637,230,139,383,019,453,704,668,397,931,085,883,920,884,
601,211,450,333,315,202,189,633,285,189,721,304,423,811,307,993,136,207,084,
016,845,641,238,527,700,287,410,016,086,815,954,346,488,407,376,632,020,268,
061,679,962,349,387,885,000,708,560,425,111,279,864,994,039,099,110,974,558,
301,700,191,408,214,259,496,204,870,123,182,034,197,866,346,638,306,325,173,
812,391,181,602,607,338,037,676,430,602,663,282,309,354,591,559,710,578,437,
626,961,442,124,702,401,799,967,386,565,325,481,287,845,596,674,679,135,693,
487,267,932,974,877,929,987,677,675,357,086,800,873,440,497,299,774,721,216,
083,736,442,449,735,122,347,587,967,091,943,003,298,268,560,896,152,280,482,
579,485,012,233,165,891,450,560,622,317,585,191,707,106,462,113,254,016,775,
327,765,666,889,978,433,058,727,611,312,958,504,684,013,878,924,801,284,633,
276,201,311,147,731,447,377,359,115,311,540,816,924,391,870,285,087,340,462,
578,737,987,754,695,710,116,561,340,560,572,299,871,252,946,218,400,373,482,
981,175,375,348,910,388,497,945,403,987,806,853,389,769,369,732,982,903,029,
605,864,210,026,556,157,168,352,928,086,733,780,119,648,299,586,818,677,305,
030,963,264,146,457,692,304,938,978,500,424,652,716,753,793,786,297,538,856,
960,357,039,076,329,313,543,633,269,644,391,154,181,409,246,298,763,070,027,
332,691,051,896,551,097,465,005,209,604,745,182,215,234,918,374,559,548,694,
143,377,613,075,761,620,042,724,780,996,076,341,282,702,915,215,816,017,186,
447,624,978,070,028,179,631,567,736,100,811,009,171,454,338,088,846,964,513,
764,805,198,470,173,916,137,627,715,298,810,471,122,257,082,800,137,491,696,
587,317,715,739,590,189,646,789,016,561,671,114,841,525,568,460,796,255,112,
139,598,375,534,766,044,649,903,888,055,437,643,423,056,971,736,303,700,701,
632,520,246,308,119,410,551,032,620,339,314,347,926,384,671,585,681,425,976,
604,267,133,570,901,075,102,927,227,301,841,339,873,458,899,237,043,679,041,
194,365,032,048,693,357,987,314,037,383,374,739,956,932,742,177,147,369,225,
641,934,068,623,980,953,615,062,695,318,839,990,170,789,150,842,470,604,176,
590,102,037,059,278,464,950,210,269,713,297,873,137,672,708,878,638,439,824,
714,658,394,216,621,587,678,897,590,329,649,551,847,973,824,145,973,062,397,
321,098,578,662,115,686,766,633,628,434,014,006,523,082,818,770,250,204,412,
722,249,604,313,463,696,293,152,445,680,857,485,296,196,253,659,282,686,682,
046,524,283,866,619,067,841,868,835,866,464,663,123,969,240,297,507,004,434,
860,932,232,087,184,497,888,708,568,259,731,258,660,666,619,722,649,482,335,
384,442,864,279,609,702,330,195,641,078,348,223,560,137,483,463,351,782,271,
851,241,974,268,435,561,318,473,414,118,634,368,630,254,223,627,081,600,219,
227,225,603,716,577,009,488,728,576,567,267,292,070,861,594,130,788,433,996,
357,296,446,874,496,735,470,724,326,986,721,761,249,090,802,458,465,769,866,
790,989,127,621,175,566,033,308,710,166,944,367,168,092,821,867,535,537,297,
001,310,489,657,521,892,798,967,554,498,121,176,954,928,141,276,362,651,922,
916,341,000,019,965,571,372,728,370,491,406,877,176,540,468,068,506,817,484,
219,727,497,357,712,347,058,829,875,462,298,234,962,068,137,791,070,022,410,
850,791,587,563,170,532,165,945,845,494,381,714,386,204,970,447,303,919,000,
856,836,413,306,439,771,349,315,476,458,956,600,723,848,211,418,026,226,081,
992,554,850,435,220,781,954,104,594,906,861,199,471,707,178,011,808,012,636,
031,490,991,425,769,062,973,004,873,475,701,065,439,598,826,091,357,361,504,
278,511,975,927,073,199,101,609,860,931,067,427,923,040,873,811,769,334,540,
268,079,225,380,918,600,492,318,982,364,435,167,056,148,126,062,664,794,463,
704,334,948,773,998,924,336,434,426,804,212,234,113,067,731,036,839,344,132,
436,197,644,604,284,372,905,412,559,490,808,183,479,658,661,084,798,981,591,
108,563,334,546,950,528,138,902,076,522,554,679,102,313,504,390,424,025,425,
848,348,781,752,734,792,161,045,795,344,482,248,551,673,261,265,736,194,790,
977,864,891,283,145,863,844,132,381,203,250,403,585,534,740,872,423,514,040,
026,983,934,932,350,393,905,953,676,009,928,159,541,936,973,728,602,049,068,
203,535,296,206,411,304,984,846,900,331,316,885,695,810,257,864,330,217,267,
603,635,947,537,785,063,426,644,214,166,750,019,311,284,405,208,810,275,910,
378,709,043,005,886,837,276,210,584,855,322,430,798,021,407,920,847,344,568,
300,994,792,277,511,947,209,730,271,987,472,475,634,562,461,974,582,037,609,
160,247,606,489,898,233,771,693,301,817,438,541,358,269,968,250,982,669,104,
672,286,228,890,838,929,364,540,037,876,089,057,455,606,381,214,719,238,515,
517,398,378,361,538,331,560,977,409,366,771,324,046,578,903,179,382,681,269,
718,763,209,324,794,147,064,285,776,564,587,142,048,549,790,440,755,483,200,
184,379,050,376,843,317,092,100,615,645,801,667,540,800,585,340,068,037,306,
438,411,135,334,519,305,532,193,932,619,127,845,820,803,895,268,768,069,785,
360,225,532,642,900,937,620,066,406,874,027,368,412,705,631,844,024,910,651,
295,692,183,275,853,107,493,714,907,116,734,950,029,036,686,285,114,303,461,
138,643,517,324,240,113,363,361,142,333,877,836,064,358,402,589,503,513,763,
668,686,870,055,406,143,197,098,683,663,491,407,329,728,315,289,654,692,381,
955,176,557,194,997,340,147,310,634,628,319,591,512,371,769,032,668,484,968,
591,914,989,821,049,196,538,008,073,651,753,157,978,402,584,262,784,147,869,
011,665,875,910,909,791,870,487,747,494,646,243,167,290,502,251,539,701,966,
993,541,877,034,768,604,032,056,065,311,271,720,499,626,830,276,934,316,085,
631,405,308,411,864,738,988,562,894,726,986,938,861,084,694,839,441,554,767,
365,205,959,427,183,865,665,257,905,185,601,925,918,788,573,673,788,183,928,
396,145,432,809,843,972,163,161,917,650,071,971,266,296,488,376,162,544,839,
566,971,905,978,617,408,242,046,013,397,878,083,992,335,495,283,284,086,922,
649,636,143,418,115,897,439,080,283,877,163,755,052,694,755,398,547,796,514,
998,367,646,424,516,317,527,621,343,207,224,595,859,636,292,820,152,661,965,
261,349,046,795,123,722,599,284,855,473,570,872,470,801,549,071,236,472,202,
820,940,396,763,714,240,306,563,133,831,060,658,576,178,143,637,725,810,123,
365,532,770,424,217,379,338,612,911,112,602,642,705,938,662,401,911,794,209,
005,751,897,149,265,045,730,156,428,820,224,481,393,137,563,840,821,930,488,
132,468,090,678,909,324,750,464,936,062,338,731,076,862,880,121,622,564,545,
799,652,421,604,161,818,422,682,068,909,508,111,313,535,541,058,784,370,745,
745,830,866,314,435,115,232,887,495,399,610,196,673,177,129,726,532,623,640,
032,238,542,203,226,123,527,517,729,752,811,845,169,270,530,397,944,070,563,
417,681,586,154,001,877,735,086,315,313,350,213,487,214,962,879,907,706,569,
088,394,794,424,675,852,636,038,637,218,226,134,942,269,412,052,284,645,440,
095,132,496,831,619,278,505,819,305,363,845,361,107,626,149,559,587,388,883,
126,515,934,717,249,884,902,166,616,988,141,085,715,371,696,169,539,906,431,
336,747,776,214,971,426,954,201,798,293,035,534,582,606,514,552,227,680,009,
008,318,282,668,858,886,892,819,481,095,219,710,887,365,819,359,392,796,311,
805,006,651,633,541,410,474,374,369,454,394,555,909,001,781,814,050,355,367,
370,397,492,422,971,613,427,973,932,795,655,314,079,819,326,058,338,290,106,
046,959,887,158,839,892,147,378,996,493,860,031,697,915,562,260,074,937,852,
993,565,499,289,010,103,112,934,488,305,175,640,312,111,740,040,961,936,749,
820,721,057,687,196,020,747,621,170,677,575,030,282,938,530,027,952,838,141,
433,849,783,735,542,942,023,415,040,757,303,333,548,297,289,391,241,423,225,
824,522,941,407,516,115,040,363,536,589,713,969,556,592,382,374,899,450,863,
878,939,791,050,366,259,510,228,140,767,804,558,874,187,286,590,751,942,005,
777,513,920,917,067,369,415,877,282,053,345,642,423,282,600,770,257,668,641,
570,005,208,354,757,148,308,560,041,095,633,769,448,053,107,297,054,984,075,
742,103,381,446,395,051,666,519,661,850,569,370,752,351,005,281,384,885,800,
704,933,343,231,721,423,558,646,160,227,918,811,349,223,417,635,236,959,708,
388,964,273,336,059,178,634,613,882,540,634,108,960,983,744,707,446,279,436,
428,654,989,923,142,180,445,914,657,852,948,007,578,373,683,315,594,847,791,
247,075,182,343,092,987,509,193,858,326,066,710,016,139,674,977,425,990,108,
971,694,994,980,632,120,099,722,073,331,926,169,588,378,134,105,242,219,905,
297,579,090,549,051,237,427,592,749,888,851,739,426,094,828,737,350,490,563,
075,486,411,076,679,142,885,353,405,192,265,310,856,115,220,823,604,958,615,
217,076,613,169,883,803,580,796,982,358,494,462,883,058,251,011,568,580,417,
123,926,902,113,354,895,052,510,736,707,177,229,369,033,703,927,381,996,744,
270,194,705,733,713,889,903,663,521,931,120,732,437,498,369,608,411,836,653,
379,913,904,728,820,371,642,982,518,545,140,692,533,600,754,747,759,130,899,
542,497,482,160,952,144,847,102,071,103,456,733,028,845,449,774,918,763,526,
002,245,172,346,592,599,038,817,738,225,374,730,668,198,867,438,681,568,981,
468,544,826,040,713,767,973,814,634,071,282,973,104,518,629,127,339,878,772,
475,849,133,111,085,209,247,228,544,416,893,589,166,432,514,509,726,100,610,
421,165,095,650,064,932,036,799,237,995,841,484,216,850,112,710,163,261,107,
457,337,280,823,970,691,952,737,110,989,462,335,497,832,280,634,443,517,403,
484,602,804,079,691,765,665,435,617,666,124,557,579,918,687,018,767,830,405,
674,091,722,410,519,190,364,136,363,496,923,264,148,881,966,635,655,978,737,
883,038,804,027,100,455,017,564,957,035,459,642,889,775,527,181,004,010,149,
017,182,802,758,670,240,859,148,825,255,165,761,590,379,142,760,092,313,896,
965,963,980,212,097,811,421,746,306,575,316,301,123,764,887,536,494,775,470,
399,046,769,071,406,153,065,801,592,562,941,124,238,150,578,773,517,661,802,
129,660,475,824,121,477,673,184,195,384,354,714,352,622,012,007,015,712,444,
343,451,726,954,854,280,756,294,877,836,467,244,320,703,533,760,600,111,904,
969,623,792,697,062,650,619,708,530,515,209,158,745,569,631,640,569,546,513,
786,825,669,593,974,691,141,361,013,540,211,512,565,354,019,867,150,307,696,
416,265,596,500,743,626,489,999,586,298,423,784,453,781,923,080,212,572,008,
229,383,491,463,635,967,047,330,362,952,641,843,367,702,449,067,301,037,126,
387,261,717,811,233,427,074,044,694,962,811,511,243,365,294,367,678,478,979,
259,556,281,279,309,865,163,562,448,758,232,860,989,098,797,842,657,858,873,
520,405,663,483,066,377,629,941,180,917,318,918,431,688,975,700,307,514,894,
291,656,030,109,264,767,343,501,568,088,831,891,406,385,434,010,296,378,505,
512,529,781,043,474,999,986,989,200,014,256,253,579,470,001,445,032,066,234,
522,700,708,947,050,419,348,099,606,856,807,901,698,095,761,522,972,193,932,
898,927,910,098,966,378,187,322,774,197,781,395,026,360,102,325,920,791,961,
476,272,406,383,961,536,647,200,566,274,368,600,031,935,626,225,445,458,101,
609,817,237,536,398,601,547,427,664,764,078,281,325,550,646,927,040,712,322,
778,222,635,705,899,337,134,677,287,767,742,264,318,930,890,742,177,706,576,
619,390,850,943,619,480,584,549,125,455,129,792,561,848,713,251,192,892,104,
995,747,081,002,190,735,616,738,347,080,998,426,839,953,341,382,502,336,162,
929,846,728,863,051,063,364,762,156,938,494,189,785,644,967,871,567,994,663,
047,393,407,557,478,177,088,289,145,289,008,171,974,763,934,796,476,294,443,
527,307,122,002,838,068,407,852,386,846,470,406,586,701,166,126,954,964,487,
433,945,610,366,332,074,390,483,165,052,569,985,343,044,161,472,275,125,637,
337,686,449,861,111,270,476,773,493,993,013,354,756,122,553,853,595,784,703,
980,852,342,113,692,219,469,372,280,257,255,635,654,675,904,559,383,081,872,
704,832,045,580,718,405,252,889,667,605,006,896,137,516,311,384,387,519,617,
303,904,383,633,811,265,684,926,035,627,960,498,272,036,253,248,089,233,361,
603,512,380,943,354,385,250,789,009,734,432,274,162,413,818,890,443,117,485,
477,516,715,286,039,930,391,829,953,454,490,647,786,071,211,951,417,907,699,
059,327,404,434,545,087,929,104,476,797,094,071,220,668,594,805,494,784,874,
184,278,408,198,576,175,243,302,155,107,924,151,511,048,523,921,130,518,415,
730,595,903,694,679,918,625,954,696,120,739,382,894,177,285,094,273,977,052,
681,081,338,566,292,460,899,391,918,282,226,584,260,209,884,147,293,945,332,
124,057,125,005,354,421,861,784,133,673,410,172,178,133,799,871,444,403,697,
771,175,129,150,852,842,926,122,803,247,552,199,386,136,083,528,825,863,490,
089,096,338,497,680,480,209,095,811,069,185,763,315,598,609,182,925,203,830,
458,299,570,785,759,461,900,766,668,503,137,184,998,410,053,979,499,568,245,
765,305,386,251,328,726,769,357,091,449,119,354,963,636,951,479,483,352,853,
540,169,106,672,581,499,472,865,809,731,431,262,009,309,238,105,664,474,959,
980,395,443,998,116,809,284,652,774,817,522,708,335,783,382,391,886,500,045,
664,956,034,578,566,660,933,957,427,702,190,472,615,418,873,971,028,732,987,
554,600,228,790,807,885,510,953,063,445,774,431,996,597,817,219,626,267,433,
584,423,323,286,139,799,157,003,661,427,091,428,648,445,631,661,811,822,837,
236,513,072,181,328,722,757,834,446,895,538,547,966,800,214,527,296,520,910,
161,438,941,772,471,281,255,104,804,690,771,347,566,221,569,740,585,399,959,
600,477,262,513,229,629,994,063,240,304,986,672,454,171,527,699,215,887,500,
500,280,545,972,012,113,804,215,850,800,026,560,747,713,954,885,456,072,092,
129,346,451,986,748,604,524,201,737,252,481,176,553,009,914,939,552,797,385,
224,315,204,334,902,662,378,756,426,508,894,234,628,317,502,522,114,780,268,
475,813,930,105,981,567,479,163,434,665,341,071,738,427,266,695,326,350,306,
944,154,994,780,005,045,311,134,992,019,474,916,401,950,123,974,590,866,609,
216,987,995,943,414,547,695,410,234,791,157,029,547,571,775,344,247,601,930,
791,724,896,793,046,331,522,158,622,440,243,741,901,589,653,176,658,769,919,
194,912,706,577,573,436,734,597,959,660,206,257,529,993,122,754,005,613,656,
314,901,093,434,611,178,672,134,420,777,157,014,117,263,709,865,685,685,608,
884,844,287,244,577,510,030,673,947,052,173,447,473,992,187,926,791,729,703,
897,853,540,473,648,744,805,971,449,895,286,246,062,173,041,553,940,855,852,
550,390,713,710,029,530,849,890,501,873,134,334,591,339,023,776,213,883,956,
009,199,502,290,570,455,976,095,752,790,075,365,464,168,599,801,117,539,471,
431,548,891,537,292,783,634,433,681,122,249,586,994,919,873,775,098,731,107,
804,129,288,758,852,999,833,402,589,637,628,733,682,007,488,187,376,983,694,
637,232,385,432,943,943,845,279,411,047,095,320,412,770,038,287,229,383,937,
774,500,417,249,876,874,171,420,539,443,831,909,634,586,741,283,039,727,517,
310,137,525,055,965,457,530,155,090,365,513,933,629,821,897,049,123,206,393,
310,711,342,322,832,107,258,174,992,523,818,345,558,439,573,327,547,494,559,
212,011,890,738,249,567,144,217,399,078,973,871,974,131,016,758,573,062,378,
670,307,525,638,731,894,095,739,796,085,075,057,613,789,893,245,361,485,508,
524,746,134,509,789,232,403,328,456,479,736,674,122,710,100,748,746,733,875,
389,027,507,660,662,373,412,658,112,625,661,137,020,706,622,683,410,800,615,
800,910,061,722,366,664,226,735,673,798,013,448,221,094,417,221,073,509,045,
603,375,057,821,073,943,804,506,791,069,753,784,363,978,478,016,166,770,384,
928,146,039,698,440,469,832,195,838,046,526,021,575,900,199,194,501,007,738,
035,818,379,069,843,415,312,148,853,759,092,928,605,353,356,255,168,803,928,
128,234,661,507,093,112,293,079,147,754,515,927,133,286,059,138,881,901,312,
231,461,421,484,505,703,490,954,288,631,646,619,159,858,548,044,184,173,111,
959,711,707,248,066,215,551,126,980,648,377,369,183,030,779,242,726,376,913,
620,633,544,320,910,312,312,775,508,077,528,476,643,188,428,815,480,640,898,
339,693,427,269,215,888,268,797,125,989,051,251,053,228,317,142,064,722,405,
602,256,917,232,384,450,373,425,371,991,361,507,500,509,956,521,417,359,480,
295,264,702,183,950,206,724,957,630,921,699,911,334,896,273,200,036,490,029,
403,088,090,662,628,080,215,321,752,320,383,086,171,172,487,758,439,699,513,
249,227,645,620,261,258,624,181,337,024,610,296,376,715,743,645,125,817,561,
027,931,123,500,946,879,311,993,887,359,170,363,258,664,130,368,392,914,306,
698,059,190,536,219,477,988,263,272,476,528,161,802,790,443,830,666,975,303,
281,897,560,864,448,211,306,960,967,477,357,807,350,783,312,841,848,356,324,
271,109,080,059,333,143,950,877,671,232,772,103,097,247,640,641,782,231,960,
619,933,607,065,801,620,934,195,056,304,399,141,731,684,778,837,532,134,509,
742,577,770,285,025,878,589,504,716,010,084,325,678,838,153,910,972,977,187,
206,738,094,970,410,690,986,252,844,595,230,990,425,617,491,420,621,511,242,
691,234,203,681,998,920,052,052,769,764,183,448,342,135,076,785,102,873,040,
229,379,838,341,432,758,338,886,590,484,921,304,038,195,809,119,245,195,733,
706,437,314,575,825,891,189,221,330,926,337,655,927,861,676,716,360,514,194,
000,276,410,805,797,580,827,843,939,593,183,540,477,342,638,402,185,178,766,
202,496,386,355,519,554,945,466,343,793,884,475,236,219,522,221,153,929,593,
460,562,375,358,770,694,500,868,220,118,140,980,876,164,034,127,686,914,924,
810,138,584,534,456,727,249,318,908,764,094,905,480,322,916,235,918,138,986,
653,220,484,728,466,411,889,728,130,417,993,750,781,487,556,307,559,256,704,
289,061,767,376,442,876,042,891,978,987,133,009,980,405,856,451,756,429,289,
860,135,358,148,383,019,306,307,721,042,238,128,339,064,871,770,403,495,297,
714,554,792,848,765,474,108,228,008,638,989,121,648,653,639,444,173,337,610,
249,788,001,568,299,501,050,571,788,223,467,117,311,258,427,351,541,810,562,
787,276,426,833,720,415,999,646,620,738,996,401,007,790,047,542,076,307,402,
104,837,969,183,246,906,222,721,550,909,528,210,744,475,694,097,886,084,694,
508,677,289,529,254,685,378,388,698,382,803,922,524,356,789,428,754,048,168,
528,652,268,396,543,199,884,766,110,922,774,344,204,405,620,384,527,189,176,
852,994,837,923,248,697,490,194,815,944,634,399,346,287,772,071,704,511,251,
931,465,784,306,979,830,481,447,481,335,326,798,909,565,001,576,767,590,991,
060,256,866,373,794,958,404,193,400,969,916,631,301,127,393,172,346,125,718,
072,277,232,048,189,827,058,343,550,600,435,339,713,719,764,293,426,851,804,
471,347,919,430,314,076,793,930,734,259,516,459,452,873,066,380,731,292,708,
282,768,789,599,569,957,798,436,854,645,010,118,250,157,617,747,066,232,833,
783,189,967,068,987,031,570,808,966,244,807,335,355,691,866,365,416,871,106,
334,529,347,950,968,142,300,202,774,483,946,073,039,636,153,851,094,195,036,
439,464,275,575,001,184,935,677,764,955,762,686,882,333,598,046,472,111,460,
070,409,574,493,201,735,672,340,639,185,317,428,721,598,855,514,067,162,086,
741,009,712,459,262,418,147,942,702,371,576,437,445,342,394,501,754,758,846,
466,084,144,580,739,409,653,529,463,755,086,548,635,289,960,128,025,046,783,
354,335,554,121,749,525,387,739,664,204,121,752,682,154,897,878,453,083,571,
879,000,424,214,918,683,910,980,719,372,841,231,407,291,418,020,190,270,747,
652,200,813,671,136,909,625,759,131,235,823,123,684,558,891,192,931,915,176,
752,723,845,470,661,886,438,867,114,170,090,198,100,062,308,046,691,626,542,
941,186,258,554,036,570,058,110,104,964,311,887,179,170,137,316,603,828,793,
806,236,388,549,696,451,927,130,091,033,726,937,655,535,917,856,544,462,466,
247,185,919,225,008,736,192,481,734,206,392,879,318,054,868,968,890,593,826,
572,528,325,414,761,880,453,294,576,014,753,739,348,331,355,598,363,559,469,
281,498,937,045,599,568,577,125,761,513,711,078,824,226,324,576,939,584,128,
258,483,743,778,593,837,158,560,396,730,345,554,734,814,376,555,018,262,122,
115,290,054,026,621,994,578,736,431,115,429,128,411,265,354,231,995,742,419,
777,062,464,515,607,579,122,133,483,046,935,072,222,873,805,064,593,827,327,
123,404,487,000,873,665,549,753,025,976,942,243,292,813,525,834,689,023,698,
242,716,117,876,817,876,613,109,897,171,980,655,917,289,164,574,464,494,249,
541,999,166,418,468,032,139,811,196,139,553,570,470,910,969,632,118,589,876,
337,392,400,394,296,715,016,592,224,837,550,714,663,322,840,990,863,082,549,
868,533,228,513,573,395,900,462,197,932,114,490,804,406,348,524,670,342,143,
268,853,612,208,439,582,062,693,813,214,167,918,862,170,086,610,969,867,477,
458,328,067,690,345,562,921,771,271,718,901,544,603,368,415,674,680,166,604,
965,577,098,937,297,432,475,334,042,670,932,217,014,094,848,202,063,174,525,
660,807,239,077,968,351,822,561,750,452,489,963,848,217,980,139,684,969,898,
229,511,713,646,471,908,905,131,495,625,816,296,737,346,089,671,379,376,332,
526,972,203,242,555,896,644,790,064,131,724,270,401,188,221,375,855,593,184,
801,565,973,504,912,612,493,911,970,184,054,672,574,575,523,707,567,746,813,
950,564,059,533,182,481,733,489,610,344,457,043,384,373,304,779,440,702,117,
275,368,567,771,589,686,117,060,293,025,950,901,458,154,931,353,504,403,420,
020,902,076,862,472,603,386,137,428,230,706,960,129,183,880,011,620,009,095,
886,862,571,801,020,732,049,904,368,849,651,013,658,288,466,749,753,983,146,
811,189,930,839,998,473,494,232,799,860,192,193,087,945,419,422,006,187,272,
769,087,930,603,077,112,395,142,008,418,314,844,134,970,856,783,939,798,865,
794,631,256,168,576,450,551,401,785,902,786,551,542,688,580,924,926,074,902,
971,369,064,552,170,295,320,791,930,514,645,702,363,641,722,566,739,263,972,
907,764,039,789,030,993,951,093,587,544,312,546,460,130,554,513,217,414,384,
036,518,172,511,050,928,481,930,299,920,559,838,569,236,124,855,578,572,839,
778,261,769,079,263,798,034,711,094,997,459,198,384,110,505,829,289,125,484,
666,785,576,453,672,348,796,062,591,282,780,290,572,373,938,675,919,560,647,
017,415,373,112,081,829,837,605,114,387,436,875,929,954,549,507,549,144,503,
314,144,039,198,777,597,339,011,063,271,883,260,328,524,834,070,030,755,111,
001,766,655,742,267,790,857,763,793,699,526,827,117,012,650,388,423,991,900,
730,423,710,505,229,189,112,027,172,032,520,026,045,211,144,095,346,290,118,
195,168,201,576,799,727,655,875,091,291,383,340,712,548,246,073,914,645,301,
948,196,470,321,175,012,567,227,695,998,710,346,888,040,134,762,703,636,635,
567,856,551,209,058,600,402,055,501,836,473,997,514,048,315,631,008,263,509,
663,983,814,647,526,406,868,859,261,980,419,290,056,628,353,889,347,796,249,
753,191,751,427,492,330,328,503,749,274,652,103,148,864,927,745,186,483,486,
389,616,108,621,615,538,011,862,500,332,554,958,434,689,467,689,680,097,234,
993,555,374,097,145,881,098,995,152,119,099,561,704,400,518,800,868,645,120,
540,263,159,732,510,178,367,905,710,285,762,808,601,222,315,184,105,855,300,
545,084,404,664,905,169,008,943,564,106,482,725,687,198,985,808,956,616,603,
158,247,719,317,876,835,049,217,295,077,294,043,224,576,017,080,704,585,185,
433,662,345,502,990,867,517,679,811,912,069,381,881,205,462,306,861,594,758,
908,664,002,988,247,476,836,297,144,857,695,560,219,958,738,557,467,307,163,
551,769,442,217,797,986,035,470,963,282,047,073,256,262,471,695,336,223,195,
490,238,879,756,790,081,564,096,631,418,224,421,400,644,456,749,560,436,799,
773,393,378,096,179,261,984,590,908,142,603,634,579,171,082,542,573,683,085,
413,364,003,832,950,232,366,328,091,276,389,969,874,425,606,294,232,462,496,
656,082,486,856,622,798,145,326,038,925,405,506,799,799,845,175,327,387,206,
648,994,052,244,099,582,167,916,616,862,363,845,653,874,639,097,289,072,132,
355,257,954,089,883,275,181,824,439,529,096,342,353,244,221,065,205,282,550,
085,904,190,576,514,512,509,371,306,308,706,003,996,258,894,463,205,471,908,
561,503,408,498,430,353,732,969,904,908,963,802,141,587,833,250,323,609,647,
438,247,838,636,912,321,571,376,345,622,584,628,846,916,780,903,095,565,958,
353,278,749,025,880,787,992,116,665,490,883,868,507,607,338,872,662,114,025,
314,501,357,854,109,900,614,705,343,638,396,473,704,815,722,874,971,223,390,
647,562,045,051,474,900,466,405,732,194,307,746,739,299,655,213,618,923,506,
965,053,749,244,886,991,261,318,844,228,713,358,739,701,783,367,954,423,252,
810,938,890,092,716,221,083,615,278,047,051,612,978,144,646,548,532,911,375,
442,519,981,008,482,071,269,893,591,889,963,022,141,683,104,901,572,748,204,
408,037,398,718,007,119,270,459,970,060,995,840,520,500,211,074,365,781,719,
861,112,747,788,594,652,354,198,237,529,201,576,057,237,204,995,684,607,539,
460,821,478,018,645,550,455,263,981,621,572,350,810,745,865,849,137,450,168,
726,553,852,833,734,311,112,009,747,824,007,088,841,177,178,367,094,435,941,
576,280,975,301,202,819,197,243,856,933,599,265,094,012,145,307,241,261,627,
380,055,368,719,773,574,258,662,227,431,892,937,648,743,881,243,378,070,236,
333,244,898,448,301,325,373,898,841,904,534,138,839,604,001,526,999,362,814,
672,958,402,211,923,487,738,067,165,959,116,185,104,241,129,698,732,303,907,
226,486,283,846,546,483,496,057,153,684,770,455,124,508,241,841,114,861,390,
426,512,847,347,975,717,347,105,731,632,986,060,581,315,443,419,729,517,078,
789,653,779,897,492,095,575,347,766,923,061,957,834,443,579,511,064,916,431,
200,171,441,217,721,353,734,526,065,777,656,102,694,195,193,337,199,252,975,
149,736,044,251,331,574,740,942,587,967,377,254,654,130,336,741,256,011,566,
561,760,226,923,344,182,451,853,387,659,870,620,101,797,826,631,378,573,318,
007,787,960,698,321,669,790,601,383,582,996,201,799,811,886,379,056,878,934,
281,663,033,860,245,310,442,977,548,561,969,566,233,777,993,037,148,851,968,
264,459,065,636,182,688,409,418,875,191,860,066,868,058,622,907,393,313,169,
033,357,927,809,148,827,745,622,193,273,504,186,033,622,738,615,433,252,149,
658,721,385,228,947,118,193,407,578,529,971,299,342,634,262,087,839,128,061,
904,137,333,971,205,658,714,363,213,099,360,624,558,212,118,240,170,575,345,
498,763,296,596,140,047,713,388,683,982,498,121,395,298,987,851,219,859,897,
205,558,396,430,279,008,473,475,582,355,434,330,275,873,409,342,773,767,488,
968,762,889,426,871,608,489,693,695,630,794,696,026,323,523,614,959,785,190,
629,314,614,042,450,423,294,779,651,201,409,573,338,050,107,934,971,618,055,
994,435,996,033,250,531,727,628,266,288,087,473,738,290,089,323,682,399,962,
275,035,247,786,961,572,426,887,014,309,812,947,005,617,734,598,604,166,136,
334,831,170,077,031,632,170,609,453,702,397,085,379,138,453,430,656,287,876,
079,238,329,701,620,840,110,218,844,440,075,230,627,550,172,131,738,990,936,
846,298,912,370,314,612,768,593,324,699,333,655,817,459,726,095,711,719,156,
511,099,378,187,601,474,464,396,250,726,154,606,839,827,299,725,825,226,558,
090,254,762,338,198,561,196,502,911,113,643,288,052,487,922,921,928,663,843,
423,695,647,659,828,892,859,283,194,138,103,182,685,823,276,314,375,958,335,
029,274,998,561,946,412,768,128,269,114,805,059,631,515,566,810,423,577,041,
957,286,784,479,090,883,211,301,049,044,690,071,832,261,347,665,009,934,995,
149,135,222,431,330,062,387,643,198,204,070,030,166,672,571,981,262,751,944,
821,281,925,845,495,803,831,219,751,127,681,934,039,751,103,390,685,776,452,
666,448,592,158,715,935,364,363,685,314,317,912,813,449,177,735,665,799,477,
624,575,508,039,444,352,571,905,557,247,039,365,526,548,343,459,003,529,196,
748,534,190,086,601,104,800,220,113,060,501,762,658,345,802,450,608,338,423,
593,415,985,735,448,086,311,838,778,223,583,165,394,659,805,686,692,184,825,
656,469,803,595,753,763,842,527,858,183,855,373,947,685,132,201,339,351,853,
693,981,327,408,084,540,368,411,926,770,105,611,954,000,897,157,324,503,849,
106,404,127,889,513,397,865,595,949,036,925,102,939,496,145,298,698,019,291,
818,215,038,866,022,914,931,275,810,032,171,552,855,966,090,786,372,374,925,
242,576,311,088,861,404,483,695,123,715,230,744,961,646,136,538,575,895,883,
737,962,138,005,525,530,286,040,584,889,348,401,238,125,143,723,878,807,484,
223,498,131,949,360,741,122,217,574,310,186,763,734,743,000,770,371,650,828,
573,204,398,795,496,093,654,446,825,684,763,509,349,883,184,133,498,138,777,
179,744,199,271,831,758,232,043,553,715,409,759,671,748,058,286,602,841,066,
981,794,438,060,657,872,776,473,481,943,737,581,511,019,537,425,407,910,143,
032,525,791,915,157,918,778,692,305,657,683,452,870,502,543,010,740,767,546,
962,050,683,806,854,510,006,978,927,833,277,535,876,849,603,681,210,134,001,
086,948,860,165,167,579,006,699,437,930,437,162,063,137,435,141,648,035,767,
618,032,444,758,118,341,921,518,178,878,078,359,660,947,158,702,094,520,830,
138,889,346,854,476,909,929,867,058,352,748,450,075,328,127,221,580,056,159,
659,066,396,428,970,706,588,774,767,210,811,115,228,533,578,234,672,299,918,
561,857,915,950,773,516,913,761,282,846,601,627,121,207,963,036,175,682,158,
698,184,793,694,692,098,922,714,093,959,880,674,513,727,499,176,072,786,813,
408,577,249,525,275,804,582,685,666,572,432,617,080,090,288,200,557,632,769,
155,154,297,190,394,330,186,305,837,934,084,520,743,498,396,658,122,363,757,
539,351,113,159,383,906,504,214,409,089,186,110,817,677,339,790,220,144,924,
704,913,156,467,291,411,849,651,447,442,299,136,889,034,310,438,207,038,710,
483,758,670,477,993,735,139,311,531,568,244,835,197,745,819,764,243,075,434,
768,604,431,134,973,106,620,546,721,733,558,059,496,640,866,367,750,643,727,
587,580,539,768,654,163,809,192,021,618,586,943,277,903,778,894,321,230,208,
997,323,816,939,408,165,224,180,713,237,722,105,745,725,177,181,342,562,134,
714,869,824,858,987,641,194,574,726,427,390,863,553,526,343,762,933,007,050,
080,405,000,808,248,973,016,404,968,286,391,551,051,142,077,750,030,446,845,
994,216,241,580,696,505,082,734,245,972,495,003,193,311,933,960,204,286,986,
309,672,763,213,629,732,721,061,181,504,145,942,122,110,347,712,378,986,550,
969,656,536,975,652,370,682,346,153,768,746,071,054,731,981,598,534,821,756,
750,908,735,004,926,524,728,382,694,377,988,453,619,762,498,195,494,381,865,
648,506,274,052,344,060,349,297,313,298,094,373,473,167,028,583,098,013,678,
643,607,937,106,118,160,649,735,876,155,799,108,201,287,480,610,068,284,283,
454,149,267,580,046,931,264,157,122,519,232,374,305,464,882,921,986,519,533,
545,012,494,359,371,006,457,071,678,421,971,125,810,771,843,109,660,415,102,
149,993,622,517,410,269,926,498,106,597,114,687,692,879,456,876,424,135,544,
468,379,793,520,252,660,270,838,789,627,577,926,582,034,841,381,214,404,603,
993,417,507,372,529,427,957,291,461,078,688,216,271,183,655,807,832,390,028,
099,077,395,740,334,874,589,934,187,776,043,447,121,452,921,485,338,898,999,
825,310,699,770,518,357,228,147,338,360,927,423,600,521,904,495,238,968,674,
480,773,406,573,741,203,697,738,614,246,212,031,572,815,523,515,370,696,155,
242,028,845,226,106,490,471,370,079,759,895,706,279,860,746,630,852,931,335,
918,790,003,286,617,945,953,698,277,863,976,830,812,310,878,709,733,341,749,
327,951,401,611,275,410,485,345,374,868,989,007,582,587,486,321,087,397,654,
010,879,848,923,067,860,614,155,086,542,764,615,523,575,971,338,460,943,684,
383,522,371,430,107,258,580,535,308,466,065,621,824,846,896,802,633,727,880,
325,892,279,169,057,857,150,926,460,069,139,191,003,076,526,892,303,179,974,
310,391,288,030,760,717,626,888,588,721,873,085,446,110,493,558,946,019,946,
411,649,935,891,959,036,858,585,814,835,074,001,892,397,642,315,119,792,225,
313,811,743,950,984,441,883,451,414,927,376,651,739,328,691,882,908,835,405,
254,458,658,346,572,127,830,492,055,839,593,305,351,925,065,129,072,019,497,
767,263,963,122,899,427,202,404,642,011,449,479,589,459,423,523,061,361,288,
509,448,140,041,913,084,499,183,327,880,583,182,420,688,661,116,655,752,996,
595,571,400,373,281,977,451,957,321,392,600,275,351,833,387,017,752,243,019,
136,161,407,911,445,404,152,473,090,719,551,416,549,819,543,185,564,772,241,
942,793,341,583,645,837,495,947,404,798,455,479,602,679,027,403,415,701,153,
729,406,709,978,353,095,037,711,493,731,869,495,909,940,239,601,913,183,417,
628,312,441,716,640,227,881,571,288,897,895,137,347,123,313,371,853,281,501,
393,740,017,476,199,186,205,380,761,758,434,126,105,360,217,438,689,906,214,
892,098,933,745,408,867,943,495,108,763,538,880,367,186,741,630,179,696,352,
757,748,912,185,944,979,385,903,994,882,465,875,395,539,902,718,654,256,510,
375,026,196,863,667,707,677,800,517,239,130,813,150,618,565,807,695,032,983,
095,724,087,260,507,739,396,407,551,923,544,023,838,731,827,438,505,062,155,
011,297,571,964,199,831,670,944,839,759,118,015,422,856,995,021,392,030,398,
120,303,283,383,294,303,853,354,263,615,253,350,888,249,562,961,252,629,895,
233,053,104,248,672,364,884,947,863,838,163,558,910,946,527,554,141,471,896,
553,297,740,580,287,938,185,626,693,904,148,378,882,693,302,631,421,368,450,
778,423,927,259,517,756,447,929,095,993,564,455,206,237,393,336,207,693,593,
098,542,025,041,181,961,662,021,429,015,199,835,282,087,686,491,402,652,937,
225,604,096,957,910,833,104,991,618,947,268,163,034,608,323,632,258,999,480,
398,399,024,045,384,015,069,689,497,998,871,992,344,386,517,117,597,541,786,
306,076,376,189,341,492,200,154,903,766,826,838,150,134,902,560,198,329,856,
131,519,413,830,392,028,739,108,997,688,593,728,087,574,490,537,606,675,252,
760,637,525,321,964,560,992,848,242,388,261,065,465,415,261,526,957,524,888,
970,101,167,837,207,880,795,990,447,510,465,292,497,410,214,660,480,472,942,
064,527,244,077,569,682,895,992,900,995,309,380,814,510,754,091,015,087,144,
064,208,841,911,422,970,754,737,503,255,956,908,164,968,495,987,316,893,761,
951,808,539,383,492,653,378,140,151,685,076,036,622,980,559,361,564,354,193,
324,397,753,865,392,015,353,715,404,066,957,325,320,836,264,568,929,872,952,
677,898,194,704,214,304,074,760,655,094,527,577,966,136,630,955,713,722,970,
754,568,753,384,589,792,185,885,673,345,899,759,723,882,984,361,374,235,488,
624,702,248,979,304,573,613,022,078,766,263,556,533,138,974,460,055,306,699,
389,117,773,668,157,053,051,078,130,559,412,058,737,292,686,062,181,081,643,
708,590,783,995,245,583,131,132,535,093,573,413,065,214,099,619,722,256,603,
928,493,747,092,430,159,186,760,698,122,451,855,084,355,392,929,795,768,646,
756,579,799,446,143,245,003,899,646,310,762,244,148,258,196,984,910,798,489,
754,548,407,943,630,873,789,364,730,338,741,058,585,411,820,897,474,740,788,
018,005,558,195,785,267,934,511,238,566,011,951,307,948,241,703,159,583,601,
658,952,126,600,362,125,021,992,768,817,766,835,626,099,057,243,820,484,286,
931,081,606,218,615,006,580,350,672,342,558,204,044,361,726,716,939,557,648,
555,236,121,812,392,148,717,220,432,472,823,461,081,357,292,705,187,455,968,
135,021,649,900,712,346,339,467,986,768,727,206,915,308,998,539,929,072,686,
712,540,057,094,391,361,069,001,301,765,848,853,630,736,403,648,950,964,915,
007,375,196,332,203,038,466,305,943,182,179,061,209,733,224,210,098,307,642,
182,789,377,576,567,611,957,180,279,322,068,519,746,590,825,197,217,633,715,
521,601,661,438,835,530,282,041,723,807,469,488,306,341,572,006,014,301,965,
612,615,630,764,116,587,568,544,209,239,249,756,125,508,069,106,837,479,961,
968,399,415,606,679,752,319,474,806,229,201,380,898,348,293,304,516,630,939,
618,455,823,818,134,790,584,600,344,848,659,576,172,406,993,854,779,670,141,
250,837,865,444,170,874,170,853,663,818,969,047,090,903,011,398,928,440,081,
258,426,955,378,743,770,530,693,923,179,743,072,994,440,020,263,682,786,694,
061,287,331,200,772,282,228,876,060,871,593,634,754,179,151,742,266,784,349,
060,163,291,951,817,347,906,146,584,189,045,678,262,709,476,010,810,095,678,
762,159,258,997,570,522,410,108,458,458,991,733,006,093,413,076,905,148,248,
097,182,730,206,574,470,594,618,523,633,807,367,036,905,128,448,353,330,953,
638,203,030,094,573,244,989,618,666,594,679,487,125,711,489,288,524,164,866,
779,311,578,101,280,300,886,853,951,834,372,707,896,594,584,069,559,944,807,
600,888,018,149,987,345,344,399,578,103,785,051,676,409,848,881,374,488,277,
836,627,566,162,815,879,726,386,993,466,541,174,575,486,101,834,150,042,846,
759,517,431,983,446,774,260,882,539,201,844,188,333,835,468,396,043,247,946,
881,663,477,621,115,099,097,962,498,098,373,814,403,956,132,392,031,720,405,
277,474,811,688,249,754,603,341,369,062,235,059,864,546,980,237,381,711,159,
331,990,279,931,557,970,826,210,651,255,045,848,055,558,930,699,018,772,363,
890,706,063,567,176,460,666,174,435,483,063,566,351,646,071,242,626,372,681,
666,463,051,721,259,312,797,455,994,283,738,661,746,859,148,510,623,725,901,
421,448,134,822,221,581,723,429,916,595,908,889,828,730,487,800,363,428,266,
776,403,557,259,830,007,664,816,094,716,514,007,150,967,962,718,402,224,822,
725,407,942,115,425,031,008,159,912,867,257,183,404,179,989,609,420,011,656,
223,727,615,103,573,746,065,750,925,540,940,621,641,559,827,748,182,770,661,
565,993,387,590,370,964,151,059,580,486,717,787,056,499,695,248,236,096,010,
174,847,049,852,211,496,602,780,923,614,213,187,107,457,740,428,869,773,219,
831,750,427,059,755,480,424,322,963,159,146,917,118,212,360,378,703,466,247,
445,166,790,236,540,094,836,658,956,719,925,366,955,876,982,454,033,659,720,
071,811,571,644,065,393,725,551,571,777,036,941,553,064,823,528,801,703,484,
275,238,716,122,532,379,919,709,777,800,263,356,684,668,269,812,704,401,137,
781,103,652,638,962,570,221,422,729,677,874,485,823,007,422,633,058,783,104,
751,820,683,572,523,858,763,978,769,851,065,127,082,348,606,328,899,537,638,
415,307,798,589,772,011,871,830,036,753,646,092,146,776,973,968,173,184,696,
549,690,687,491,782,661,265,722,691,956,431,063,355,398,302,413,886,906,628,
512,012,198,622,969,259,045,376,783,671,541,223,133,204,442,638,169,062,864,
447,517,902,585,041,319,735,002,923,802,866,115,641,546,247,042,258,554,152,
717,961,591,503,818,483,051,143,341,031,332,903,911,900,378,090,789,033,774,
732,294,301,057,435,037,998,046,555,537,412,980,576,808,666,289,432,784,367,
513,745,414,051,219,087,580,284,668,242,999,524,736,705,398,521,768,382,225,
175,141,440,718,135,183,709,077,206,996,342,181,189,509,439,686,217,575,328,
825,523,502,186,893,739,248,270,198,301,913,033,720,972,565,030,556,768,958,
801,158,901,366,634,049,019,836,785,601,668,529,555,989,134,439,247,154,540,
816,873,417,215,889,347,277,914,245,520,183,392,384,431,060,948,991,541,315,
164,161,823,547,397,754,386,854,165,859,308,400,033,735,724,717,753,604,810,
061,303,183,948,887,736,402,028,441,620,168,349,009,446,265,332,563,261,276,
292,448,959,415,998,286,222,777,354,502,932,121,550,444,017,240,119,641,763,
360,620,189,182,394,075,462,179,318,593,500,557,911,086,796,393,481,276,076,
177,554,358,637,811,039,805,026,920,151,188,353,365,768,798,370,404,976,834,
513,527,035,235,706,521,622,648,247,096,396,947,932,941,007,791,304,190,373,
979,517,444,890,464,884,206,474,228,995,845,815,392,715,123,922,100,052,363,
812,317,911,316,038,563,554,601,569,870,305,563,619,463,974,850,443,986,746,
871,383,692,504,919,624,659,104,475,539,572,198,648,975,034,650,976,711,924,
730,675,557,751,650,191,768,271,280,729,586,170,010,189,789,952,277,926,045,
207,301,952,705,913,244,195,051,463,329,481,558,077,106,154,992,585,161,381,
150,772,026,406,353,460,536,004,542,654,089,539,866,799,845,961,051,050,262,
421,559,515,759,021,836,146,492,001,950,875,347,373,440,721,957,510,198,161,
082,347,481,999,194,108,321,945,816,670,957,186,123,234,999,726,669,484,172,
530,875,128,089,683,443,583,021,014,558,273,676,868,853,936,999,347,691,016,
468,248,023,085,369,531,312,682,772,680,489,147,370,471,952,408,671,273,485,
783,695,841,870,806,395,974,894,659,943,866,545,999,234,643,374,890,210,139,
984,598,529,236,620,426,243,650,069,667,454,731,625,404,565,037,445,053,610,
969,460,712,278,569,411,710,363,523,796,131,786,268,736,139,000,055,595,059,
386,202,442,601,082,212,278,457,240,299,316,848,108,731,223,344,230,088,952,
392,600,629,339,949,211,251,167,112,877,698,285,521,579,236,957,205,235,201,
577,628,875,675,257,624,178,572,771,849,558,256,488,717,491,396,486,221,103,
021,182,814,446,397,449,802,061,137,805,056,933,267,588,255,496,242,927,359,
239,715,513,553,191,020,153,023,506,718,428,952,910,109,338,602,479,641,800,
733,544,720,423,785,816,711,356,849,697,982,439,852,231,437,119,000,896,132,
650,687,558,281,782,029,481,979,326,771,372,671,377,049,860,493,812,805,122,
467,498,485,930,846,971,938,919,384,407,503,514,015,098,429,638,798,260,528,
878,646,928,800,190,691,206,147,424,116,640,661,372,466,333,901,067,640,625,
742,156,837,563,076,260,518,509,117,479,194,470,378,590,386,863,930,171,452,
082,554,724,485,965,393,399,503,748,873,225,497,909,477,728,936,475,164,873,
023,516,931,361,474,628,103,047,965,401,972,196,845,088,494,786,038,921,645,
116,470,915,826,848,484,353,296,668,169,446,988,028,828,661,197,058,709,830,
570,782,693,199,417,309,969,113,913,351,113,944,586,312,566,178,754,941,780,
261,199,961,747,909,109,117,732,500,979,146,023,171,065,677,806,016,514,448,
878,224,016,350,392,274,588,771,374,750,479,503,890,171,162,278,622,774,983,
550,730,317,604,246,667,909,048,849,809,451,380,087,266,179,800,153,848,831,
762,049,722,690,805,043,844,043,231,913,011,950,205,554,651,585,817,645,988,
866,880,847,090,408,322,422,469,973,191,015,901,158,475,592,522,371,625,294,
119,076,051,277,647,364,272,752,029,179,242,251,509,611,375,537,953,469,347,
117,012,322,697,656,774,774,684,181,313,428,365,229,476,721,537,144,980,755,
131,829,677,982,319,029,756,579,058,752,389,753,981,301,417,649,433,589,486,
321,082,010,335,884,761,043,763,830,409,716,597,710,550,860,348,569,695,859,
575,624,630,937,815,538,297,328,928,615,293,542,407,899,826,705,523,087,115,
853,230,674,397,362,179,407,365,090,398,502,209,174,354,359,395,197,296,278,
412,803,121,493,066,915,623,923,037,183,900,474,451,517,573,794,286,551,379,
838,731,065,997,896,564,278,459,928,986,217,779,083,217,012,443,779,181,605,
995,528,392,637,325,354,335,219,019,626,661,843,388,694,502,571,306,175,837,
425,856,051,616,435,295,139,711,987,959,394,919,918,764,424,475,852,044,046,
998,309,806,723,175,943,564,188,349,564,159,484,115,968,071,364,398,506,225,
846,582,118,857,156,881,518,183,746,008,307,183,614,059,453,436,806,517,436,
537,812,957,382,268,346,567,597,958,462,600,844,028,800,588,358,955,208,134,
935,435,130,349,694,561,846,606,472,565,825,152,292,160,464,951,264,069,980,
503,112,842,687,068,421,099,203,067,446,022,190,268,630,453,832,028,527,775,
667,758,491,016,977,968,895,152,513,216,730,252,375,784,020,143,413,595,069,
597,427,364,711,910,829,727,294,142,367,532,260,906,508,470,638,706,750,613,
825,476,429,785,315,385,131,091,645,487,703,056,422,968,715,530,679,301,546,
142,312,094,041,870,563,192,298,229,908,576,351,046,537,487,414,700,012,774,
612,978,901,352,026,036,350,733,362,892,243,233,792,272,234,747,324,809,010,
872,787,716,903,702,912,878,282,443,874,576,261,938,590,866,045,530,961,095,
346,616,898,387,833,926,591,765,673,203,435,039,582,911,824,824,714,366,355,
205,015,166,495,656,527,443,543,187,648,853,052,801,473,935,556,640,802,282,
177,075,705,257,997,248,468,910,120,373,377,274,648,071,691,963,626,551,380,
762,130,799,842,799,288,766,423,633,526,255,136,072,857,918,450,334,853,870,
101,804,910,487,860,043,432,971,543,113,478,853,096,164,391,565,084,650,925,
390,283,806,555,909,380,280,423,590,683,363,038,608,107,340,556,969,898,523,
051,882,162,724,320,481,821,220,570,480,100,432,597,465,428,703,413,304,072,
827,260,012,901,768,301,491,046,507,689,501,106,529,460,627,154,657,127,691,
074,049,115,691,704,716,040,645,566,547,158,230,364,100,805,274,801,446,312,
323,456,046,413,291,985,728,371,397,603,830,425,929,149,375,008,540,353,119,
948,983,096,756,348,486,896,148,348,105,312,513,523,862,059,478,822,458,877,
810,477,140,495,925,398,265,740,551,936,678,205,417,461,713,234,627,483,438,
654,415,261,532,793,154,448,731,774,694,164,149,228,212,268,542,698,457,913,
162,114,653,407,005,002,810,668,884,006,500,284,920,425,547,240,035,264,071,
617,489,942,360,514,196,926,639,816,486,999,214,000,502,802,095,293,194,260,
999,637,240,966,891,001,734,773,329,073,764,296,477,203,686,327,444,644,743,
249,928,947,429,214,111,234,152,184,036,156,698,536,960,522,673,088,971,693,
297,213,484,397,168,523,885,508,162,148,769,113,472,411,808,808,362,729,641,
975,680,214,112,938,421,544,893,788,387,310,585,790,252,975,578,635,780,774,
328,515,446,907,781,155,010,901,126,998,492,026,009,681,524,737,647,960,855,
053,990,139,379,987,290,420,858,875,031,843,528,602,201,809,656,459,613,818,
386,686,894,634,451,688,343,883,209,320,023,391,942,439,888,312,757,346,759,
070,675,098,315,433,025,031,773,787,966,315,802,843,079,191,208,072,584,003,
631,410,373,600,310,313,803,554,222,048,764,822,664,608,651,061,610,663,891,
110,853,547,937,312,208,539,094,464,846,034,696,435,715,469,610,487,343,306,
415,382,034,161,186,673,851,088,307,633,965,380,161,305,402,959,698,279,438,
491,185,554,053,834,879,282,735,458,416,225,685,659,619,005,197,343,466,468,
010,637,585,401,754,924,940,728,420,694,016,284,377,785,768,682,773,842,247,
159,650,751,595,470,338,368,924,632,882,100,375,788,460,883,677,721,056,796,
054,007,550,371,911,884,444,901,712,354,360,153,455,551,733,378,993,997,086,
599,213,056,664,013,062,190,434,168,696,570,511,278,325,701,047,081,386,115,
333,485,932,795,734,262,434,393,418,949,058,577,483,770,799,490,432,858,969,
773,904,549,494,906,383,178,082,306,027,935,496,528,432,434,348,774,091,937,
869,943,295,205,989,172,221,635,599,783,774,989,504,068,481,590,755,757,413,
875,306,249,939,789,843,027,433,488,444,590,177,447,727,608,150,223,573,122,
735,823,163,929,552,187,964,304,743,227,788,171,907,284,350,986,553,128,075,
149,633,773,474,702,792,252,691,572,769,051,915,810,937,165,650,296,199,134,
517,585,214,178,789,218,714,440,653,835,007,062,203,588,468,563,462,046,291,
459,643,747,830,373,855,651,309,094,994,071,165,970,826,602,157,864,666,547,
187,795,186,019,129,842,948,165,740,749,403,020,630,806,511,113,954,281,903,
828,807,369,018,783,217,328,139,105,692,258,228,063,109,607,837,285,487,058,
843,666,901,174,406,339,800,848,940,485,162,238,575,252,284,116,679,137,471,
051,268,897,578,442,767,863,732,428,553,634,826,848,914,855,748,307,361,019,
558,308,879,164,084,196,006,823,601,818,434,282,832,392,961,718,839,159,604,
354,203,998,706,998,971,464,912,700,440,026,862,722,449,692,463,638,690,106,
102,277,991,775,506,550,927,621,986,160,167,855,546,358,253,319,504,131,292,
576,765,497,441,242,517,395,541,422,543,408,857,825,895,660,345,143,757,671,
207,637,948,956,431,379,243,597,845,474,824,929,343,499,846,466,477,597,073,
148,830,631,117,652,501,733,770,747,287,015,775,014,242,902,957,792,332,002,
271,292,325,008,662,709,418,146,499,888,568,755,701,326,960,575,055,008,745,
252,836,453,773,420,796,120,374,539,465,811,814,816,093,474,744,034,235,754,
241,049,012,508,605,078,302,224,652,524,765,762,391,161,306,579,976,736,525,
422,028,410,337,319,830,197,406,752,786,928,362,872,175,422,285,173,359,714,
086,417,062,959,025,524,151,413,638,718,036,531,884,816,470,376,171,939,732,
012,068,698,778,398,351,642,122,175,706,168,781,314,336,918,128,733,291,528,
439,416,119,053,188,800,507,957,501,818,416,363,034,113,859,337,850,947,701,
433,566,507,199,432,276,392,213,636,393,422,817,528,386,288,936,417,227,100,
313,903,043,030,220,802,996,949,952,509,644,457,687,009,576,988,058,736,528,
554,359,564,675,167,680,180,651,013,154,905,977,706,796,971,202,365,622,127,
962,966,978,185,502,400,842,643,889,546,455,338,838,301,316,572,501,541,966,
192,551,679,905,476,851,763,421,218,640,715,010,569,699,396,615,835,703,915,
145,612,680,801,681,617,603,947,402,494,057,494,293,799,241,000,910,317,251,
934,185,453,734,224,886,985,549,900,782,680,461,546,809,200,725,629,887,034,
695,612,520,072,028,076,655,580,593,158,736,913,886,689,022,218,432,074,197,
380,846,041,073,684,344,463,795,976,925,487,692,727,411,666,650,844,575,020,
600,762,886,722,624,541,132,471,390,380,469,674,477,175,153,140,904,558,378,
534,422,085,131,181,871,010,777,808,554,728,215,899,006,491,529,349,868,108,
221,220,284,963,386,872,499,743,943,410,337,667,172,033,062,302,437,542,837,
910,353,831,648,418,837,969,505,980,482,693,806,406,808,701,292,832,682,970,
264,337,280,120,737,473,889,422,936,303,614,346,750,280,154,946,815,358,512,
884,392,443,850,834,483,035,616,123,911,728,267,099,822,348,796,546,650,195,
177,347,515,809,262,909,157,943,548,331,445,553,563,589,913,659,460,859,074,
237,261,900,468,027,889,025,911,005,690,328,674,981,565,178,075,041,395,591,
460,597,891,592,694,855,598,710,044,883,078,756,432,626,367,826,423,401,818,
508,475,969,790,667,487,815,285,668,076,599,293,459,620,793,844,162,326,227,
706,485,378,003,936,167,069,356,132,471,338,019,353,289,894,911,529,222,195,
479,569,814,642,652,631,166,170,265,141,275,170,824,588,948,574,904,471,806,
024,730,538,969,263,475,873,798,368,148,174,918,720,783,024,750,278,077,551,
410,762,281,536,485,969,770,784,910,631,110,026,555,497,882,341,589,382,099,
209,772,060,865,863,618,098,399,709,666,779,733,278,941,426,000,280,861,181,
166,923,137,153,082,656,771,233,230,630,734,044,449,463,661,532,232,798,697,
147,461,383,095,405,040,783,596,448,520,489,775,888,062,453,987,010,589,065,
230,726,868,582,430,171,998,446,022,906,544,059,538,047,992,615,200,616,809,
489,781,075,466,818,649,542,842,245,286,008,710,734,516,517,611,709,740,895,
658,846,451,457,562,998,096,876,970,672,846,544,957,508,757,462,768,059,678,
191,009,551,461,051,571,496,469,026,909,676,330,284,715,192,186,384,225,528,
853,972,828,084,502,433,873,866,353,460,430,494,643,383,094,796,860,211,307,
556,985,807,965,924,299,106,031,071,787,631,240,899,136,788,798,487,672,301,
710,041,031,709,850,564,410,831,322,998,883,409,212,716,342,867,444,468,724,
372,943,871,653,718,860,672,812,899,690,383,443,258,054,256,805,584,134,541,
279,516,501,259,814,452,557,251,872,183,302,715,432,402,980,116,612,362,198,
503,461,128,736,780,800,214,143,597,838,995,897,484,024,525,053,784,562,566,
178,755,134,150,374,506,566,668,606,528,775,395,946,084,377,800,047,361,139,
879,661,731,557,660,378,334,507,763,605,091,861,025,223,319,629,731,751,728,
412,604,113,700,579,980,391,842,650,221,922,435,536,198,249,142,503,599,006,
729,967,286,986,926,038,042,601,984,540,672,970,483,323,991,965,424,541,838,
378,932,217,316,380,930,937,052,940,347,952,760,330,017,313,385,326,044,554,
684,818,081,237,915,866,252,053,581,802,561,516,012,596,559,181,776,644,689,
812,190,729,842,739,728,522,004,241,450,488,833,465,481,424,170,402,757,517,
287,712,555,828,760,768,978,389,304,725,429,737,289,086,300,823,491,765,470,
313,633,563,105,788,578,756,194,065,994,901,271,769,382,231,870,505,071,495,
211,138,256,082,394,888,339,563,542,057,693,333,928,744,059,750,623,821,063,
614,100,770,772,206,461,869,072,942,007,945,187,323,578,465,170,108,421,413,
057,325,789,805,881,987,472,430,953,865,717,460,441,103,616,452,341,539,416,
639,025,679,591,159,033,537,228,342,697,717,797,384,008,426,393,459,600,493,
989,710,194,704,787,022,344,966,602,014,106,448,296,084,424,158,608,244,075,
687,382,777,222,429,890,908,916,680,718,002,791,435,528,644,758,135,549,656,
218,058,583,056,753,355,166,877,343,865,851,844,669,080,115,371,234,307,338,
726,174,848,009,259,964,105,197,063,466,271,081,856,802,529,122,604,990,781,
043,012,193,852,186,061,943,165,967,720,387,695,299,539,315,450,065,999,669,
330,479,982,682,728,388,943,208,130,720,644,751,897,290,744,610,264,392,629,
497,033,964,108,325,199,493,212,386,596,723,382,398,379,537,427,039,122,544,
214,279,612,252,886,714,862,448,657,717,859,237,471,566,209,992,815,240,335,
086,475,395,020,070,723,379,307,286,166,786,858,746,500,459,511,846,257,840,
719,600,780,780,353,524,893,750,577,572,967,070,765,263,841,989,573,479,603,
658,354,831,778,061,318,413,993,616,093,468,631,318,001,046,044,442,992,988,
214,044,984,626,272,694,134,234,275,382,654,587,954,567,960,168,911,243,906,
307,627,598,346,674,846,509,108,292,251,253,591,803,592,276,505,190,701,537,
404,302,750,788,217,446,071,855,583,189,641,541,858,866,202,033,491,850,495,
145,581,510,967,157,681,671,403,813,981,101,289,909,886,241,054,958,193,097,
857,797,186,772,415,460,142,344,532,735,959,291,832,326,684,441,408,187,536,
017,626,793,343,509,117,208,307,512,549,877,553,697,641,737,994,885,204,976,
061,034,216,388,165,952,160,707,772,846,655,363,997,117,959,888,071,552,856,
254,180,314,226,696,322,388,629,063,589,240,623,127,960,538,060,633,841,825,
322,031,293,842,642,589,567,358,692,510,635,772,640,091,798,798,532,335,298,
531,461,516,621,330,299,558,052,652,191,401,994,031,991,872,284,951,790,797,
329,872,100,892,519,838,590,439,872,561,979,866,140,466,410,886,328,144,807,
144,970,001,006,035,936,925,536,356,375,105,709,836,813,595,147,332,211,307,
456,371,893,864,528,429,942,330,781,494,115,128,006,925,015,096,738,900,392,
294,348,134,171,771,946,870,704,711,370,492,217,917,688,520,665,228,273,225,
568,526,433,196,983,805,358,754,872,126,150,338,651,291,899,796,492,477,842,
987,057,921,072,335,462,045,026,688,060,400,564,273,694,808,029,973,299,247,
117,189,376,518,281,144,493,897,161,473,760,502,984,091,805,691,481,014,384,
780,899,916,063,201,825,350,416,251,508,188,983,652,579,230,771,586,233,081,
612,924,004,645,420,430,199,674,896,024,746,515,472,937,412,159,360,244,435,
168,657,252,670,286,966,336,039,076,391,297,206,323,601,269,368,552,030,873,
334,382,593,172,578,463,635,663,710,732,608,885,443,014,551,445,590,754,606,
241,574,788,942,013,304,141,994,565,638,283,608,287,932,040,577,854,774,175,
653,451,329,176,184,329,833,679,993,042,749,212,921,017,420,965,287,424,186,
294,875,774,159,433,536,085,216,539,324,000,717,509,465,412,835,223,409,916,
909,938,896,867,286,570,480,807,395,262,310,367,528,407,610,272,312,221,829,
851,798,423,245,689,208,586,547,674,858,302,429,713,968,823,705,351,516,113,
997,346,262,641,605,340,774,204,375,958,811,756,733,595,233,570,215,691,789,
377,224,008,530,076,446,781,703,982,356,940,405,413,722,035,248,018,323,487,
833,636,612,936,742,375,117,404,100,340,455,463,535,475,922,757,211,352,029,
982,308,431,576,132,003,366,597,928,766,668,096,805,765,039,586,487,758,707,
002,512,199,059,923,509,245,262,596,961,695,447,509,108,315,853,525,068,613,
871,489,817,301,318,838,841,448,402,082,577,309,314,432,213,863,531,222,129,
058,196,017,778,967,776,550,195,585,147,249,178,099,708,985,276,444,265,023,
406,055,828,047,215,716,874,160,534,339,025,310,642,819,708,065,306,875,023,
816,057,782,418,739,702,202,738,297,524,141,907,427,358,540,169,135,747,078,
870,969,721,537,201,704,168,936,280,572,120,134,978,634,102,076,737,663,106,
833,989,248,170,170,930,621,051,616,448,181,618,300,874,555,418,885,527,690,
774,043,727,038,630,253,796,698,050,694,679,890,613,453,279,113,941,068,498,
691,356,026,538,000,981,523,398,502,074,226,812,967,152,576,081,204,599,328,
497,998,596,724,025,549,909,263,136,720,903,177,412,893,050,349,617,063,677,
937,927,023,444,445,295,899,916,688,386,775,532,712,187,788,014,890,791,974,
013,533,737,795,756,446,286,430,569,192,878,310,641,005,945,344,669,583,488,
119,288,516,580,337,827,863,361,890,912,034,149,831,565,823,462,431,317,765,
390,653,467,404,961,235,115,338,487,048,699,628,614,365,381,100,769,782,422,
302,671,863,375,670,965,881,973,740,331,153,577,679,858,969,936,841,502,215,
520,201,323,447,834,589,431,662,395,139,153,496,128,295,198,103,675,971,741,
137,354,274,925,508,324,266,755,580,209,675,991,117,578,515,178,161,316,439,
644,964,669,015,685,246,716,241,301,908,852,206,439,928,645,835,821,876,724,
878,819,565,551,214,219,418,653,617,928,765,669,667,099,315,832,541,369,125,
823,422,257,149,288,632,679,344,644,366,634,152,328,128,710,392,016,590,720,
008,680,898,146,869,265,052,789,568,924,914,503,436,484,425,237,875,132,688,
760,141,015,433,385,663,859,219,182,693,881,350,077,557,881,575,906,305,776,
690,953,909,393,433,185,278,446,878,511,035,451,914,376,581,042,693,755,832,
138,604,567,683,161,741,671,263,994,454,745,825,904,301,144,984,265,887,467,
925,626,596,264,418,881,074,957,639,828,917,502,062,944,432,659,254,361,576,
244,154,994,500,825,007,362,509,472,960,145,209,600,847,618,330,969,038,982,
756,253,967,363,672,261,850,951,842,158,246,530,707,684,969,412,800,200,458,
175,368,568,662,926,534,387,743,598,063,377,834,086,671,282,169,831,723,697,
247,589,577,287,612,067,182,861,323,860,318,747,382,971,711,991,552,769,570,
089,816,935,391,447,015,004,404,234,813,171,627,534,147,846,904,447,365,707,
050,970,995,257,135,653,726,542,044,450,473,158,392,113,885,580,404,549,162,
672,924,206,738,423,620,580,834,676,737,235,313,034,374,602,727,197,723,450,
741,984,006,747,629,325,164,533,046,255,277,991,197,707,681,026,997,872,263,
551,319,510,159,018,587,051,872,374,272,941,312,976,541,521,302,931,469,761,
266,469,479,542,178,293,874,420,731,886,405,757,628,568,123,713,928,735,485,
525,344,604,800,435,715,294,260,798,958,873,563,437,856,347,479,047,971,053,
870,500,223,351,086,163,407,396,982,620,231,068,385,955,688,519,367,620,663,
587,960,210,606,067,747,128,165,174,931,842,717,456,571,026,405,702,773,733,
043,852,284,745,908,689,093,105,229,979,522,332,056,613,332,958,173,834,163,
040,623,022,020,302,093,101,121,515,847,080,453,748,310,084,160,936,388,939,
651,825,648,260,048,130,211,446,943,215,528,729,749,243,214,627,369,442,506,
981,678,922,616,769,392,721,285,450,292,255,521,370,909,693,444,684,271,814,
738,885,691,081,502,210,243,846,287,898,390,888,642,839,403,209,645,031,171,
188,994,414,563,384,184,618,989,819,090,908,620,299,760,950,222,337,461,381,
473,022,992,593,094,545,734,866,805,330,255,160,357,560,324,868,895,700,642,
827,014,912,582,164,223,043,592,268,716,763,994,944,944,649,273,610,982,711,
306,725,903,697,418,971,207,310,798,818,238,542,963,097,398,254,644,428,618,
566,720,106,350,043,628,614,571,746,040,601,723,546,342,200,587,837,846,840,
613,400,943,123,189,105,498,399,018,858,398,113,116,772,316,455,841,169,912,
164,451,902,573,288,009,043,777,607,115,386,385,508,266,523,675,732,817,009,
279,467,702,972,386,209,252,344,113,027,659,537,060,007,938,058,179,001,103,
633,068,072,028,157,889,317,696,806,334,726,469,366,604,795,275,483,093,292,
294,359,451,125,894,195,081,668,846,029,842,280,785,498,921,292,945,598,182,
980,087,630,323,163,651,378,860,768,463,525,326,536,678,642,565,500,429,501,
532,748,450,801,342,142,025,243,186,814,089,634,381,353,742,732,791,973,967,
311,830,881,585,213,042,951,903,643,653,071,161,267,436,777,925,983,864,141,
737,508,696,293,735,072,123,653,206,943,020,493,997,882,774,289,729,161,095,
951,209,161,539,985,631,535,113,137,253,038,128,571,686,293,415,447,914,745,
314,509,961,885,555,773,652,928,170,154,890,372,588,906,596,437,024,519,489,
082,894,798,272,992,836,447,426,864,935,350,445,439,971,105,025,720,011,634,
306,645,361,485,875,992,653,426,736,102,638,373,482,692,501,014,879,318,378,
656,046,243,195,313,414,882,844,439,704,544,272,027,736,577,824,807,571,248,
965,060,727,236,789,550,951,805,344,898,156,136,597,426,631,022,731,500,762,
542,235,126,447,249,283,355,521,973,144,061,757,098,362,350,312,051,595,624,
300,345,217,504,569,442,226,597,534,504,829,678,585,001,446,140,755,623,623,
839,668,372,418,596,525,701,685,422,601,111,404,944,301,849,016,780,189,447,
177,827,999,561,923,265,590,898,989,227,785,769,448,576,754,752,729,388,658,
179,400,330,729,519,724,434,373,622,096,927,097,438,738,215,532,208,101,371,
049,978,593,570,729,539,081,287,933,256,991,519,706,521,072,475,294,611,000,
053,748,677,322,933,429,237,845,415,657,754,943,969,339,442,617,484,181,768,
197,030,187,569,636,883,098,159,201,395,922,336,906,662,173,854,527,903,206,
276,464,564,681,403,119,174,623,525,935,309,965,340,941,684,634,349,429,709,
751,345,298,274,468,097,437,127,525,435,419,991,610,571,599,386,148,727,736,
256,827,234,013,450,902,011,051,382,500,753,168,105,258,079,870,045,051,663,
338,140,431,394,822,184,772,887,935,211,769,949,497,837,395,567,134,790,109,
138,548,963,422,320,428,129,038,624,700,113,120,879,007,518,172,073,865,819,
425,852,229,724,238,382,623,765,556,699,592,165,665,799,046,527,914,194,341,
831,548,786,502,027,095,493,768,504,739,480,331,683,018,061,937,118,939,033,
596,899,543,164,380,250,459,563,507,211,256,560,880,676,690,374,500,349,930,
873,650,242,026,215,343,255,288,429,835,688,397,711,745,463,323,453,769,623,
809,630,281,327,210,839,065,720,240,656,328,273,912,236,578,132,610,906,039,
519,207,367,446,963,563,483,968,270,499,849,284,699,944,719,473,400,219,637,
190,168,230,411,213,926,461,444,705,031,870,982,206,427,895,488,217,915,233,
466,745,011,880,582,980,925,431,109,247,733,183,753,672,727,188,878,258,097,
356,686,726,952,005,191,483,057,224,195,701,529,284,172,102,401,647,692,924,
109,797,925,535,556,598,521,158,849,150,477,071,983,964,508,589,173,136,189,
227,810,636,397,383,380,720,974,158,487,385,057,151,493,002,239,254,233,091,
323,357,057,557,304,607,018,044,273,908,045,695,504,912,180,491,548,830,733,
258,148,498,590,872,917,829,890,012,273,352,442,601,702,666,189,608,606,585,
870,335,312,323,940,131,831,348,029,682,120,953,353,669,511,216,675,251,887,
086,976,600,159,622,608,221,273,020,189,394,564,013,516,886,117,833,093,873,
906,195,423,963,573,856,436,072,433,155,182,584,529,474,484,858,966,060,682,
438,893,774,361,816,072,181,142,031,438,650,196,318,006,777,924,979,951,192,
159,452,610,314,399,491,587,315,968,139,074,259,169,328,739,822,369,704,699,
034,737,309,556,680,457,450,712,419,474,372,675,034,384,194,949,107,256,469,
760,713,539,805,006,441,653,313,138,922,758,582,972,239,484,243,017,092,632,
045,783,496,511,107,285,160,141,232,465,880,242,025,791,155,657,554,454,748,
547,450,445,341,224,098,545,805,235,026,908,112,546,932,092,336,648,953,192,
894,603,357,918,894,897,649,228,889,771,703,102,758,906,167,891,742,040,547,
170,346,117,692,506,381,828,016,575,359,237,910,456,371,916,544,854,846,032,
719,956,312,859,020,984,762,400,908,836,817,471,985,702,940,422,638,290,430,
592,870,864,107,611,908,869,374,497,684,809,614,032,829,085,471,433,482,621,
160,141,012,029,665,017,215,911,991,690,328,390,002,131,336,151,237,956,700,
752,044,649,891,355,102,770,739,728,813,141,146,455,561,768,950,302,905,459,
131,867,105,840,919,403,812,374,381,455,379,414,131,106,370,346,370,250,682,
759,645,524,590,526,991,641,780,091,944,291,276,728,676,257,877,560,307,927,
045,981,198,343,039,362,499,671,052,507,615,318,918,000,069,519,612,107,346,
747,031,549,054,371,116,855,161,137,786,011,600,270,583,305,269,805,157,046,
120,563,206,478,815,870,677,272,945,343,137,755,824,727,010,673,223,026,412,
588,695,526,026,455,549,914,192,445,009,131,117,275,718,767,053,402,901,052,
834,184,345,756,585,105,156,245,879,728,620,828,352,893,790,218,215,265,553,
131,997,301,377,903,783,391,640,628,158,441,269,086,298,388,460,412,994,902,
585,540,112,185,125,952,064,528,763,104,907,937,540,142,624,125,002,689,900,
039,779,365,098,767,864,594,208,708,741,895,734,258,796,836,450,740,031,444,
011,509,881,103,797,644,313,088,318,610,710,086,833,430,959,269,048,570,269,
428,324,935,632,510,221,760,602,356,630,582,277,676,063,324,528,715,769,067,
217,777,982,763,581,648,460,624,138,687,841,740,640,529,250,347,361,597,939,
644,872,145,309,918,216,076,278,958,159,299,844,101,510,844,259,472,671,856,
869,826,494,290,017,509,754,152,886,162,331,466,389,999,936,742,018,040,052,
528,595,448,308,280,137,390,617,163,441,328,229,458,369,957,976,138,148,862,
911,032,201,078,373,180,095,363,704,718,158,088,506,052,310,521,829,625,649,
666,124,245,102,115,612,707,132,356,183,272,709,532,031,422,190,974,868,968,
060,917,313,053,683,300,831,732,257,964,376,920,958,810,511,781,582,832,926,
349,130,141,622,283,737,909,018,325,819,582,595,581,627,988,112,984,454,641,
683,603,446,284,902,592,011,477,748,162,115,833,531,604,234,713,246,266,081,
677,854,109,681,248,871,114,321,750,784,707,910,142,979,953,684,799,632,718,
645,514,849,344,586,852,923,933,798,729,338,231,890,309,931,218,985,516,105,
580,632,201,040,793,218,230,844,807,568,945,328,842,087,252,341,612,220,136,
909,561,205,396,641,003,029,848,676,745,034,745,490,525,692,918,503,240,855,
595,986,684,875,549,224,895,850,516,656,482,040,112,609,211,573,372,609,362,
179,290,091,792,541,512,852,944,172,362,833,088,363,971,732,801,814,258,175,
494,262,396,815,066,169,233,642,691,270,623,169,805,714,475,525,432,137,126,
821,841,861,823,046,026,378,472,822,912,373,062,425,947,935,472,809,383,438,
232,341,803,020,655,880,038,840,749,561,621,744,589,335,885,258,242,058,809,
809,948,872,036,352,770,784,574,850,947,394,835,567,401,902,104,598,446,537,
061,051,573,513,392,368,282,861,932,632,370,439,201,558,704,934,931,681,142,
716,324,042,985,821,511,294,340,088,112,788,096,652,578,752,599,156,059,026,
307,056,541,314,127,705,583,682,224,970,693,506,760,164,099,095,105,267,031,
198,092,531,053,602,464,999,890,616,353,291,075,276,520,361,345,895,621,012,
912,504,210,702,334,024,442,962,539,044,632,254,672,824,489,950,985,249,294,
258,133,970,253,520,404,714,568,028,343,836,547,132,448,032,599,402,202,174,
091,623,747,508,118,800,115,942,572,217,124,407,191,877,996,598,638,660,971,
150,882,382,984,308,099,611,300,594,076,595,904,918,448,731,323,312,567,078,
578,143,540,232,380,872,548,739,918,179,778,603,466,480,147,557,240,155,183,
488,077,669,633,007,892,425,744,543,204,351,166,097,894,437,713,273,450,731,
299,849,861,201,552,027,431,288,270,803,679,514,104,643,481,475,914,848,014,
299,914,856,130,119,871,945,064,340,389,738,725,008,027,194,987,632,526,455,
430,690,019,716,901,686,370,574,548,092,392,283,869,890,128,399,865,942,782,
791,038,347,786,582,350,554,490,387,593,962,718,648,922,776,150,679,728,335,
396,822,618,961,537,653,323,854,600,911,070,686,193,648,341,788,671,944,552,
604,270,702,271,152,701,231,383,967,778,883,479,730,578,160,062,139,341,615,
362,473,429,526,077,174,621,727,958,651,612,174,115,901,227,872,275,151,907,
823,066,455,799,578,473,021,708,179,531,094,766,964,391,709,548,250,182,178,
062,786,880,886,917,287,272,694,861,417,515,884,803,445,624,604,339,845,985,
549,600,082,841,222,546,193,377,614,837,379,175,620,771,751,680,199,122,081,
730,708,612,999,309,798,782,796,840,712,644,350,252,916,735,623,870,019,203,
009,432,471,359,856,911,738,798,791,211,669,243,592,659,787,879,755,181,533,
568,889,278,089,164,715,298,624,556,817,321,135,654,285,845,708,999,206,653,
473,648,092,745,657,489,265,601,366,407,037,802,039,190,133,621,179,539,794,
093,032,777,385,427,211,207,922,253,917,380,195,423,658,060,498,045,288,113,
062,719,411,785,714,553,588,938,301,597,476,171,028,325,133,438,425,629,378,
448,949,669,208,443,919,634,925,824,943,152,630,120,942,700,054,347,552,285,
361,808,598,312,305,876,776,479,313,662,543,567,231,857,562,971,149,306,287,
747,653,246,107,201,763,171,217,799,887,325,435,424,035,897,977,584,698,136,
970,625,906,879,179,525,920,043,340,611,552,805,779,157,675,810,360,210,982,
251,770,152,377,627,315,329,236,458,318,465,837,878,915,890,605,888,044,626,
668,058,946,721,139,945,700,681,859,554,815,839,438,564,263,539,880,480,000,
409,544,762,933,071,710,351,342,258,349,060,525,389,780,842,859,328,567,168,
624,840,246,763,290,963,400,122,834,411,194,254,605,794,071,692,445,222,166,
073,778,884,034,563,240,595,684,294,829,478,431,102,878,666,424,789,053,326,
707,704,779,120,269,067,631,301,110,740,422,876,817,336,081,260,189,677,054,
752,728,448,206,455,872,483,207,267,146,949,354,796,582,413,102,352,396,952,
498,834,508,742,477,106,070,343,693,601,371,986,814,453,214,668,119,528,627,
784,639,557,493,430,934,030,749,747,522,641,268,110,892,835,559,990,490,949,
142,533,315,943,332,634,005,718,441,679,608,217,309,338,463,378,161,571,981,
951,525,094,325,809,425,984,706,582,407,986,848,861,289,469,948,961,723,415,
765,354,469,640,311,506,263,066,036,170,480,312,339,993,974,956,489,656,738,
088,075,503,035,444,349,595,515,220,540,899,990,476,234,098,156,925,760,038,
401,463,823,018,640,078,119,595,247,340,213,427,400,362,039,901,488,582,519,
800,499,296,190,387,948,740,321,982,149,662,041,234,606,695,355,532,657,524,
091,812,207,749,932,310,926,673,730,173,105,644,648,722,411,101,175,022,886,
925,791,129,581,954,979,790,397,201,189,603,796,492,565,898,333,072,473,644,
536,997,114,065,462,882,581,049,440,358,411,016,827,005,480,653,351,350,633,
556,051,622,264,748,565,511,693,481,482,416,278,172,514,830,964,497,738,486,
893,328,186,904,062,432,127,104,865,956,716,608,141,740,933,040,203,991,648,
638,077,766,214,281,983,973,249,805,152,990,389,066,854,503,660,408,151,206,
109,190,285,593,833,646,992,930,340,693,391,696,645,052,807,530,839,171,635,
531,418,172,155,044,661,746,330,567,610,714,731,143,428,452,275,904,574,991,
031,297,511,695,315,965,213,229,389,505,943,277,100,806,448,755,771,423,736,
867,266,480,608,254,675,787,640,006,249,987,642,762,272,278,697,489,131,915,
498,031,706,512,707,788,311,580,089,826,965,575,873,985,823,132,077,074,662,
308,216,655,014,095,161,624,625,742,013,856,101,823,398,752,740,397,507,229,
564,949,695,843,944,570,574,224,183,263,964,211,279,227,094,710,304,781,529,
230,639,541,922,280,117,709,038,647,677,665,510,743,551,205,640,241,025,445,
534,986,892,709,280,007,197,764,334,035,155,509,905,744,065,841,444,547,249,
938,575,669,970,058,887,826,556,917,392,465,131,159,608,164,154,563,088,939,
717,873,582,960,354,110,109,427,748,979,336,584,077,984,099,320,141,832,906,
993,411,602,356,254,199,815,754,210,740,373,092,097,785,029,844,401,885,413,
569,277,094,802,425,332,795,761,302,243,892,668,168,098,295,024,890,881,010,
600,802,462,650,934,478,224,715,821,041,493,819,341,736,277,724,933,441,728,
900,346,778,450,658,794,672,097,411,551,512,126,047,712,554,232,458,870,060,
750,904,606,182,631,648,675,560,263,282,962,921,555,707,650,367,624,078,630,
230,125,590,428,398,600,716,130,059,483,217,796,798,361,830,295,953,860,713,
008,508,092,573,576,070,225,267,592,152,853,780,379,047,048,911,040,291,532,
404,881,590,817,704,620,103,849,460,732,110,142,368,728,632,700,704,957,050,
182,573,205,424,150,745,711,186,696,538,202,379,443,412,171,295,620,506,850,
809,750,480,723,623,557,464,446,003,803,669,650,222,981,011,903,161,324,356,
557,759,874,286,155,889,745,974,063,399,181,232,400,466,575,968,416,561,583,
460,254,333,154,040,534,014,225,118,546,292,957,051,783,768,996,562,354,422,
733,598,466,483,164,045,306,047,816,964,413,897,184,330,660,187,761,194,697,
087,219,434,366,917,725,612,628,491,499,864,907,589,486,100,228,791,617,640,
966,368,259,911,435,213,153,788,013,900,201,248,046,917,487,973,070,820,262,
522,429,557,901,343,805,047,843,366,182,254,887,046,710,788,681,995,223,036,
457,903,974,920,328,981,023,775,278,712,028,057,353,901,761,578,219,874,706,
865,783,308,271,670,791,721,902,309,802,974,864,738,111,268,721,786,409,774,
431,322,447,158,379,669,080,086,422,183,804,413,962,398,278,066,245,732,661,
274,204,338,339,158,764,906,626,315,499,833,146,026,963,580,038,960,307,717,
136,391,490,604,245,971,772,027,580,940,131,612,379,743,104,303,273,358,251,
912,817,489,918,967,867,707,574,785,464,581,184,834,732,405,110,014,517,825,
414,601,174,290,867,629,053,390,871,714,737,659,612,624,459,698,890,468,432,
422,986,479,703,161,120,169,452,146,119,549,869,204,922,910,151,024,821,103,
753,439,110,135,421,396,861,049,298,963,207,917,027,724,401,260,187,483,974,
960,899,341,007,486,023,271,138,074,506,767,256,448,248,778,809,208,032,914,
640,249,420,070,174,274,586,016,911,971,701,538,270,810,616,530,194,317,696,
056,141,245,633,498,313,031,521,209,697,591,056,457,167,228,594,884,547,171,
083,737,576,364,107,119,264,970,462,016,521,539,807,835,591,520,341,457,211,
563,838,207,912,081,849,393,503,263,253,159,139,477,953,359,131,249,599,986,
396,724,637,754,535,107,000,911,276,477,163,680,441,673,059,646,517,624,211,
470,550,396,852,477,332,604,282,918,226,922,540,458,468,741,776,750,568,134,
243,137,852,652,354,288,038,875,235,189,378,499,746,582,922,240,452,905,219,
032,150,844,188,699,159,777,748,837,715,513,346,199,079,462,176,004,784,456,
497,939,422,401,476,709,499,352,825,855,137,032,236,337,118,188,612,799,858,
445,430,348,537,934,996,338,265,277,576,065,535,195,842,739,872,282,703,957,
776,010,504,670,871,023,667,563,220,344,038,674,623,473,204,180,078,551,801,
243,454,965,448,023,024,817,659,322,604,544,748,678,044,534,128,008,918,870,
945,316,426,837,113,193,106,839,702,694,844,647,472,826,750,850,503,684,982,
558,989,284,328,592,054,140,571,701,577,046,215,989,443,150,445,578,378,106,
485,660,118,195,274,751,558,037,159,050,603,740,414,369,481,096,416,077,876,
065,309,091,311,555,061,007,898,639,860,654,218,661,361,268,651,207,520,232,
650,876,668,167,338,464,652,831,561,717,367,789,377,049,109,867,309,914,470,
307,169,623,840,122,131,966,012,118,011,227,251,485,105,736,442,359,167,987,
767,841,409,780,241,718,582,794,839,523,158,996,879,627,681,650,082,122,001,
248,493,201,390,730,568,285,310,246,036,663,920,223,619,188,676,978,399,044,
800,269,228,298,013,626,258,241,663,609,062,788,737,261,785,205,417,116,829,
018,426,121,346,981,782,082,768,352,166,704,209,211,127,677,212,025,993,985,
157,913,434,168,190,600,446,503,695,549,568,969,914,018,037,298,604,620,503,
808,011,000,670,948,357,332,215,566,223,068,365,554,972,255,573,621,867,362,
998,907,155,861,905,785,572,601,908,256,166,136,327,725,392,153,303,374,110,
906,268,072,390,627,311,883,093,230,273,251,457,425,867,043,673,609,538,329,
873,740,865,158,126,967,487,910,260,425,576,347,616,150,037,613,260,568,706,
352,454,359,555,908,926,976,727,402,634,242,068,875,734,446,382,171,726,102,
904,752,577,261,891,686,839,374,878,114,791,952,812,093,795,479,672,251,312,
394,140,035,222,991,189,548,696,635,896,206,159,824,136,756,209,721,319,939,
323,608,421,176,239,588,897,509,326,914,443,943,449,313,375,206,263,959,688,
256,861,310,044,837,176,289,539,722,624,886,575,628,834,022,599,549,808,648,
300,686,283,183,558,603,949,914,996,736,398,186,644,635,233,574,779,846,657,
838,100,156,325,690,737,592,913,339,523,971,726,629,377,287,156,680,904,036,
447,915,709,300,092,224,908,028,852,224,148,674,174,434,052,479,096,694,311,
500,409,187,472,491,728,097,848,242,374,652,134,673,802,276,671,882,531,354,
652,170,252,255,419,317,295,272,325,563,474,014,729,916,605,332,287,644,123,
795,343,170,765,824,510,422,275,172,778,136,442,254,404,865,226,608,604,606,
623,488,569,428,293,627,983,833,102,919,890,565,982,256,958,340,417,690,480,
535,590,163,127,073,232,764,511,278,446,047,809,286,792,857,971,967,710,094,
492,289,015,886,896,243,492,243,652,564,013,376,657,394,132,195,037,603,638,
903,129,150,950,682,580,070,928,954,509,707,766,577,502,254,774,349,275,729,
804,295,624,243,899,798,744,649,809,752,960,093,383,320,669,945,010,506,150,
099,024,420,113,250,886,917,077,181,542,126,369,922,560,994,544,410,655,584,
648,561,343,919,673,617,562,017,599,244,831,478,050,439,058,506,046,749,290,
444,575,509,904,176,638,365,108,893,591,211,340,612,942,481,628,869,430,506,
310,399,660,560,792,533,075,358,729,727,383,219,060,384,833,349,004,580,226,
230,189,006,180,301,772,964,938,231,962,541,607,451,939,167,890,194,320,031,
939,388,104,636,069,536,848,715,988,207,646,346,356,485,474,364,666,765,978,
577,143,240,237,942,207,625,652,031,957,116,775,740,392,419,870,810,163,187,
861,992,238,076,438,997,880,735,137,046,581,577,977,921,458,565,304,858,350,
452,854,473,377,679,873,809,131,352,308,841,617,026,805,627,744,979,626,433,
938,016,475,148,494,844,598,407,229,752,840,005,341,093,648,372,409,689,703,
698,573,299,889,200,037,505,889,055,060,956,886,967,547,646,986,226,783,732,
698,925,347,492,729,100,513,672,005,606,730,457,802,000,366,793,344,405,073,
836,215,156,623,756,665,756,981,266,717,445,454,472,390,126,650,906,519,341,
809,492,833,382,189,315,942,522,201,741,670,515,530,592,055,145,729,766,227,
252,614,898,023,986,777,988,788,972,311,209,517,266,875,473,642,510,949,068,
096,929,255,317,977,608,820,596,109,612,189,116,567,795,054,857,280,724,305,
739,015,285,014,792,943,081,075,676,749,493,870,328,935,490,899,004,003,682,
059,798,185,265,358,983,261,848,101,839,443,846,158,229,886,945,862,507,764,
331,011,050,223,132,400,061,026,010,080,122,948,124,995,600,445,236,057,335,
893,457,097,900,701,414,165,634,144,465,603,702,922,608,204,506,109,433,509,
597,627,799,345,022,996,908,376,890,249,847,505,603,843,795,357,386,131,207,
099,198,448,736,050,838,844,259,622,745,692,448,261,180,272,866,786,058,676,
663,160,946,484,611,181,882,647,189,138,311,750,270,209,681,186,048,870,964,
801,690,846,945,500,359,579,439,200,992,271,057,854,064,616,551,456,475,817,
268,962,720,502,667,481,363,542,372,410,617,965,005,494,186,145,034,667,656,
524,477,380,899,664,265,702,570,902,663,184,553,848,761,967,741,149,466,956,
098,106,955,268,924,626,030,563,283,568,255,232,890,805,808,659,540,061,214,
331,551,652,645,295,870,233,536,792,472,064,779,044,937,133,410,710,515,479,
835,493,291,993,569,253,066,954,745,313,962,711,871,573,926,025,471,828,716,
456,472,033,992,308,638,315,334,558,354,951,288,820,756,511,473,061,683,763,
697,547,520,741,008,192,774,574,843,930,245,971,333,435,566,344,774,991,461,
266,200,227,645,676,473,925,693,642,948,582,694,494,726,555,319,731,079,130,
493,410,081,042,503,951,565,730,453,870,821,901,086,304,075,548,611,721,927,
519,708,182,501,645,351,288,737,400,637,630,630,435,605,033,884,087,171,685,
987,201,831,112,357,715,598,550,240,247,756,546,826,385,271,065,177,790,798,
844,066,265,193,260,686,692,528,362,075,719,608,234,269,524,112,414,701,709,
358,440,633,253,058,957,120,666,190,709,385,996,109,642,497,334,740,740,986,
062,362,638,563,486,818,030,085,082,401,333,621,972,603,352,972,475,822,806,
525,760,798,739,752,265,417,473,836,997,167,872,225,265,399,089,664,202,801,
552,624,301,652,804,718,629,573,584,624,995,533,180,402,821,185,194,924,870,
237,708,361,284,693,417,104,976,494,031,323,546,363,374,162,267,832,170,404,
644,162,009,691,501,272,647,645,245,529,942,084,758,011,668,361,714,932,218,
833,575,354,324,507,701,580,127,744,152,323,286,070,103,435,389,199,243,947,
435,059,550,580,038,758,835,186,720,130,614,201,445,819,751,955,874,160,465,
737,885,529,199,808,238,633,972,049,509,239,660,903,447,057,618,975,148,666,
565,603,056,717,257,695,934,815,681,008,357,711,218,868,636,653,427,644,668,
458,206,369,085,234,986,526,138,546,565,303,430,599,819,108,304,161,298,902,
085,393,276,385,329,349,135,577,121,848,702,872,559,936,952,988,735,811,306,
531,994,569,839,501,721,245,118,428,496,531,829,694,844,265,584,760,621,321,
638,516,665,708,845,578,014,614,485,475,924,266,038,741,436,930,425,517,130,
595,117,210,602,657,445,202,193,432,217,008,661,498,384,521,339,178,481,676,
830,537,209,129,096,166,414,334,738,014,793,514,054,508,118,641,843,160,537,
418,280,932,417,144,384,889,543,585,797,589,416,669,438,572,512,075,976,825,
488,614,908,033,964,464,466,043,473,714,696,765,830,932,772,330,640,460,072,
627,491,942,955,569,641,360,770,498,155,906,476,959,234,759,244,632,429,332,
576,310,533,699,295,548,039,640,248,154,821,719,801,733,016,635,163,287,990,
642,761,057,570,093,415,932,459,797,373,978,245,782,445,589,878,599,634,282,
076,968,012,272,118,211,875,028,024,565,131,085,236,119,023,127,262,579,805,
416,982,624,892,723,750,987,692,526,125,270,511,723,130,232,353,517,004,473,
167,675,398,600,330,973,574,356,569,287,038,088,337,970,304,511,453,868,935,
892,384,848,617,219,561,444,156,015,394,291,324,886,434,824,553,684,328,455,
409,542,495,765,896,891,299,575,764,833,664,534,164,056,817,249,217,441,582,
425,136,289,540,395,808,350,423,517,169,808,985,039,950,812,506,416,156,058,
268,620,524,929,825,730,026,358,870,937,640,833,831,901,751,518,931,993,738,
074,233,283,705,116,339,776,234,691,767,830,771,995,690,366,250,100,102,402,
845,068,650,620,988,215,249,291,676,505,917,403,278,889,972,466,618,978,653,
562,284,652,865,134,482,395,780,743,821,129,013,420,733,030,122,726,362,666,
534,470,368,450,065,427,336,999,985,548,003,949,698,468,893,990,051,586,938,
415,995,484,977,728,896,622,824,902,170,359,043,864,124,478,602,924,870,332,
008,251,469,195,674,716,405,526,051,860,045,566,914,585,159,837,915,814,090,
852,576,247,977,657,421,790,007,679,962,993,911,553,597,788,311,478,870,793,
900,194,598,016,148,305,161,898,537,690,432,014,805,921,215,065,908,509,231,
417,166,474,095,264,257,086,271,219,802,125,183,543,202,221,095,103,160,082,
314,189,457,750,470,007,779,223,485,606,254,366,246,138,155,378,595,620,326,
093,756,348,807,683,216,934,793,816,663,248,377,053,366,413,140,164,248,057,
261,808,915,283,770,922,784,612,027,367,755,941,760,639,820,255,174,796,535,
038,848,359,013,958,805,215,394,069,201,579,070,111,244,370,990,782,115,739,
339,284,395,047,256,189,794,804,348,959,124,434,498,453,873,714,163,902,375,
435,284,672,843,142,044,407,710,176,554,802,521,872,586,240,657,978,596,326,
811,622,236,842,583,133,998,461,743,014,778,848,264,965,652,742,711,700,167,
010,811,523,084,558,299,200,425,954,411,998,346,624,320,918,043,619,877,331,
127,984,895,379,310,082,312,147,307,856,048,428,496,725,838,619,852,677,381,
493,026,886,503,036,681,670,885,015,579,328,454,806,388,799,924,429,646,695,
726,678,673,778,908,188,993,062,726,344,375,054,999,682,873,457,519,500,834,
104,232,669,654,525,808,635,427,340,020,957,039,839,547,156,942,697,949,878,
453,936,936,123,000,841,266,791,784,141,092,244,135,249,515,465,571,056,941,
188,069,612,305,062,707,539,980,032,054,942,989,909,672,639,675,768,277,412,
755,347,391,559,127,623,796,170,179,285,050,441,836,983,964,688,174,159,906,
132,736,022,981,250,113,828,677,484,319,654,155,834,169,525,539,877,780,895,
836,229,526,743,091,048,116,383,608,043,378,481,391,095,797,873,953,321,946,
420,610,630,636,419,399,354,452,794,217,322,666,105,060,157,270,541,471,712,
387,569,248,472,862,172,203,870,561,095,003,090,934,983,090,874,311,816,332,
884,448,602,395,865,100,579,015,016,203,617,136,180,485,740,911,791,225,755,
867,029,413,477,992,176,125,550,683,193,941,829,155,475,666,506,805,597,227,
658,080,837,784,498,333,172,786,393,309,322,501,879,154,858,183,457,823,470,
061,760,673,096,422,623,019,130,296,175,095,122,326,481,383,074,303,843,536,
349,997,995,505,125,873,491,175,110,060,999,575,287,761,505,205,383,428,799,
351,613,411,031,296,260,972,478,501,552,026,417,849,651,863,922,057,772,569,
411,130,456,702,622,938,281,116,695,350,934,486,051,163,225,036,477,171,270,
706,966,809,586,752,250,388,689,765,279,101,504,555,784,364,092,816,529,156,
595,717,721,724,527,390,161,323,062,641,279,932,909,360,928,093,781,997,116,
138,525,083,558,559,753,054,619,958,279,292,823,358,049,945,283,885,498,499,
229,404,893,554,559,928,503,685,414,557,210,364,119,283,930,967,129,260,506,
911,428,052,704,476,360,481,776,100,082,066,580,603,944,552,180,892,808,039,
000,316,412,700,160,138,828,903,532,672,425,737,844,777,306,216,962,452,851,
718,525,037,754,160,170,047,242,818,310,802,284,291,355,674,473,902,617,430,
814,804,799,457,858,860,514,891,590,166,006,643,055,197,541,887,543,155,212,
796,428,463,542,891,601,422,055,959,288,191,945,230,156,466,735,790,687,492,
192,946,621,907,249,988,379,039,034,968,765,472,790,482,713,455,223,787,151,
784,698,633,673,661,651,953,814,381,808,342,059,357,321,271,300,776,068,039,
487,891,408,918,223,874,406,218,240,139,665,383,140,042,150,268,410,391,188,
571,840,376,583,929,627,497,216,579,304,400,971,255,692,398,490,990,725,623,
079,222,916,230,348,865,961,247,513,910,560,491,239,444,653,534,152,411,861,
133,827,111,756,527,319,178,755,518,202,830,374,422,016,811,531,797,348,281,
530,051,822,908,967,499,340,931,785,801,874,690,695,831,256,626,057,508,142,
266,032,817,829,698,188,350,917,361,783,765,885,839,133,649,628,646,373,932,
311,695,000,374,725,096,759,349,641,002,410,840,008,125,595,033,267,574,410,
371,436,267,478,484,154,115,473,861,191,513,627,845,037,352,488,427,562,845,
026,283,826,891,031,848,470,512,338,410,523,738,942,425,969,062,271,531,643,
888,551,977,866,902,586,939,610,302,800,731,673,567,701,496,873,386,958,268,
744,505,414,414,023,453,708,081,891,869,681,233,915,184,902,286,807,063,518,
168,053,825,407,996,704,826,020,438,598,674,976,543,318,536,604,684,639,396,
785,907,847,790,388,005,648,831,583,434,891,114,011,858,939,526,701,080,471,
700,493,357,684,147,162,191,427,857,137,762,988,491,571,399,456,775,635,128,
864,377,697,333,255,796,838,992,968,240,136,912,116,538,624,858,110,479,861,
428,813,304,580,199,303,720,026,340,314,375,847,644,122,010,472,636,248,519,
907,660,457,187,749,533,560,839,755,344,899,999,229,197,416,496,127,585,461,
953,612,143,539,933,959,656,884,695,056,276,991,831,829,049,587,834,827,864,
472,668,280,475,938,902,362,313,772,951,694,896,966,107,701,939,764,492,031,
731,472,297,640,006,333,267,301,620,637,868,268,906,899,628,757,724,938,620,
596,746,437,023,121,386,653,242,943,626,483,539,999,306,512,121,585,530,419,
044,392,494,718,740,260,488,786,183,436,734,360,793,160,609,858,885,559,550,
744,695,109,651,293,615,336,669,986,457,709,858,524,905,822,616,323,188,986,
196,808,387,085,150,987,273,079,497,502,189,704,128,380,575,916,989,984,960,
911,573,541,288,670,800,013,951,630,289,593,919,001,863,017,556,967,651,743,
768,430,070,589,940,626,301,442,415,487,319,265,606,750,355,619,089,863,310,
843,983,282,269,177,915,805,013,507,683,334,374,056,229,204,148,527,130,255,
613,775,658,841,322,982,329,873,682,218,797,396,079,462,397,125,494,884,420,
764,252,414,930,332,545,550,232,704,544,768,365,654,896,661,678,641,068,950,
857,349,199,005,901,746,346,646,481,614,703,057,328,565,582,720,034,445,228,
590,986,376,356,731,400,422,726,289,645,233,796,377,372,504,631,502,957,683,
117,917,529,616,004,531,944,506,663,547,428,820,580,017,578,990,390,164,443,
196,618,202,930,121,462,368,077,622,248,001,510,415,215,547,681,034,335,832,
574,627,516,758,483,573,446,326,612,148,368,298,838,645,215,428,015,797,629,
214,806,662,669,741,969,528,599,876,472,357,415,546,405,877,873,368,933,046,
605,617,601,097,808,281,321,672,562,206,125,213,723,473,931,256,078,451,190,
854,874,991,878,098,539,250,867,376,507,092,603,124,904,955,680,292,643,192,
646,273,085,044,234,572,019,193,882,405,934,774,398,903,574,120,978,535,687,
019,810,313,105,143,999,124,095,777,425,892,463,249,193,838,179,364,861,924,
857,795,134,138,757,000,668,049,689,435,468,902,901,994,420,597,773,076,793,
440,991,442,303,110,177,026,882,843,903,092,933,535,898,154,702,222,202,720,
497,604,633,213,035,908,992,382,457,251,905,437,733,987,534,436,102,409,592,
069,497,353,816,971,625,477,896,911,837,086,571,902,374,073,982,054,310,837,
224,102,393,926,065,259,040,664,004,104,039,428,954,743,925,657,740,897,942,
538,140,522,958,875,972,893,238,613,019,980,970,028,442,545,729,280,912,494,
892,940,599,920,480,521,868,854,580,165,134,793,042,834,558,852,825,310,682,
774,150,167,727,671,149,160,446,594,430,630,783,910,916,306,027,439,592,154,
207,146,291,062,439,792,821,379,824,747,650,023,071,720,593,027,149,265,233,
999,032,787,510,524,584,434,406,088,606,322,555,033,045,477,672,771,402,119,
923,245,112,761,873,420,931,712,399,238,350,451,586,929,720,961,071,045,186,
159,328,681,583,418,365,476,969,363,428,511,987,854,254,429,977,721,783,232,
982,426,306,016,200,328,079,059,742,178,838,603,487,772,641,469,836,359,340,
811,281,234,561,443,931,951,408,947,864,153,528,697,144,585,638,463,431,117,
295,668,654,553,949,023,864,371,730,396,452,587,108,231,088,189,462,854,500,
558,607,908,159,480,269,430,151,640,906,158,556,154,712,123,255,248,216,110,
533,849,242,418,922,441,768,140,181,251,236,228,607,725,810,731,102,888,372,
069,546,351,017,915,061,197,530,610,230,836,203,920,440,213,783,466,299,606,
628,266,076,671,568,877,442,671,411,579,204,854,468,832,518,093,919,557,201,
890,946,387,537,017,794,292,994,047,789,946,824,213,313,854,274,108,300,942,
240,739,781,173,976,653,983,090,204,339,024,011,431,164,804,658,709,285,655,
458,116,256,618,426,355,253,778,341,057,841,322,010,630,436,403,513,526,627,
222,215,555,506,824,973,759,021,015,991,957,408,200,198,990,049,914,562,261,
011,183,293,206,099,442,110,151,524,241,870,591,407,024,646,857,390,414,948,
712,918,963,811,051,881,014,308,443,810,770,591,311,007,427,524,660,535,737,
260,023,716,505,506,025,476,514,965,595,106,115,808,926,872,861,247,045,645,
199,809,199,382,925,317,694,414,802,357,487,456,313,819,713,843,117,571,786,
735,559,561,619,244,574,582,095,610,200,971,405,771,121,101,854,587,372,568,
165,480,216,578,883,519,704,668,143,148,058,275,657,617,276,380,054,288,821,
286,861,170,588,539,512,266,719,050,892,282,208,305,054,872,168,597,633,657,
713,777,525,121,799,630,632,204,328,539,705,401,052,366,140,167,456,035,668,
496,617,920,457,868,058,497,756,316,559,581,556,227,651,490,571,619,782,063,
647,820,224,186,740,891,878,489,749,560,287,224,614,657,232,468,349,387,664,
996,822,501,483,792,988,736,401,628,471,004,725,092,623,322,520,636,506,977,
676,968,555,655,926,072,647,168,595,790,238,348,632,900,117,187,216,539,609,
101,029,611,221,885,903,455,020,024,973,394,270,305,695,656,825,999,022,061,
715,494,227,285,698,359,219,106,949,057,254,359,555,022,510,026,466,111,465,
141,409,705,305,283,257,315,418,385,299,853,092,565,581,238,992,530,872,441,
677,528,265,390,912,000,788,537,160,971,478,899,315,530,832,132,887,809,455,
558,396,968,855,862,890,976,235,638,765,004,635,633,294,125,040,057,975,345,
174,172,089,752,054,330,545,178,982,468,807,037,382,189,211,382,192,916,082,
162,367,657,770,995,054,131,714,964,268,921,932,304,161,175,380,547,429,606,
467,714,345,309,337,264,367,702,935,732,101,304,387,402,546,150,333,285,215,
103,950,133,123,993,472,706,538,904,556,281,097,000,807,035,938,788,766,934,
366,065,635,710,585,299,747,040,412,730,165,673,860,264,949,946,172,971,689,
182,649,342,604,844,975,513,782,250,756,097,917,822,041,399,960,842,034,778,
467,153,460,221,194,452,425,689,948,578,351,867,593,198,544,712,595,799,909,
015,790,263,661,072,575,499,125,367,989,887,863,910,507,440,750,360,420,180,
285,550,237,849,561,783,001,126,392,370,801,522,239,915,140,534,488,943,245,
552,322,132,755,663,793,739,844,194,461,299,857,628,524,116,835,072,943,386,
218,730,536,131,506,642,200,071,181,104,826,437,777,100,771,682,831,719,589,
549,795,792,814,074,300,543,473,180,901,918,881,311,302,073,020,683,520,110,
708,221,326,101,811,092,489,560,108,982,666,582,995,807,222,886,674,474,539,
230,351,935,087,824,862,358,739,857,319,926,571,674,358,601,677,656,325,595,
110,127,664,463,792,165,583,257,123,429,349,489,265,846,519,561,128,936,636,
543,734,194,836,523,975,619,292,380,228,424,743,935,282,539,975,783,308,225,
513,364,161,915,936,544,719,897,832,883,721,942,272,000,713,242,103,417,172,
003,956,420,308,001,577,352,175,510,594,519,162,588,929,859,761,426,303,296,
239,265,667,132,924,226,612,911,233,256,984,834,141,143,266,790,804,858,563,
716,968,085,731,841,981,503,224,407,137,089,723,879,695,187,988,881,450,502,
686,481,841,956,013,473,704,444,922,572,135,960,087,359,824,612,709,581,729,
246,992,485,173,453,739,738,703,848,243,103,812,352,676,031,748,524,183,517,
546,939,747,679,370,480,100,154,090,387,990,146,857,669,357,294,158,226,366,
283,336,874,767,656,548,244,733,334,949,482,725,809,703,727,366,794,902,074,
383,132,764,510,408,742,591,994,328,446,128,431,700,399,537,716,662,613,341,
957,410,253,889,578,346,399,624,127,761,878,199,466,058,585,894,198,851,130,
471,794,226,182,050,709,100,983,435,046,464,593,166,388,423,098,607,650,622,
669,065,006,620,296,605,303,696,095,616,317,702,528,512,843,246,947,510,609,
346,019,454,911,339,588,976,564,818,942,085,351,744,975,461,693,210,591,791,
403,877,768,308,729,017,919,958,110,008,856,485,910,871,749,970,486,264,871,
706,530,133,893,383,211,984,673,111,519,044,472,891,965,879,072,478,388,591,
569,836,950,029,471,718,980,524,226,574,147,530,668,089,399,276,572,037,976,
358,081,428,992,146,094,715,764,308,474,973,928,706,328,939,520,161,734,870,
472,414,098,945,824,756,036,566,215,826,323,002,834,763,607,267,814,424,794,
431,871,554,377,694,958,309,595,666,835,804,353,223,087,502,802,725,238,697,
681,181,021,524,312,898,649,142,045,188,816,307,585,371,922,832,057,194,157,
310,229,957,126,287,391,220,281,397,414,136,609,606,418,369,175,125,079,242,
500,332,714,268,752,216,603,793,236,061,308,369,908,015,054,726,306,129,016,
126,695,388,053,661,293,291,097,360,491,083,644,502,160,162,209,424,915,213,
449,079,786,309,642,866,234,354,478,891,021,083,696,478,132,920,966,412,310,
270,492,084,192,549,241,402,683,347,097,128,278,352,251,730,638,079,062,763,
859,972,705,722,368,992,187,970,955,580,876,844,586,669,617,837,811,183,656,
252,310,559,896,403,472,159,242,298,841,380,524,885,654,319,347,355,946,286,
636,428,277,376,669,024,236,816,819,428,870,169,501,342,034,493,199,646,847,
664,479,805,179,758,278,949,447,688,637,032,831,496,748,920,926,539,374,421,
684,888,750,442,543,948,142,046,163,572,100,321,608,642,262,217,227,070,181,
704,513,376,532,480,782,153,604,194,444,339,032,748,966,928,032,349,767,188,
777,708,560,147,458,910,764,055,100,266,989,231,412,474,664,593,622,015,248,
264,719,694,164,770,989,890,657,810,606,783,448,529,074,737,841,362,036,024,
582,365,172,887,666,340,617,473,479,523,516,354,999,410,822,725,031,099,305,
597,279,084,021,950,343,027,402,114,832,410,151,274,282,881,255,781,944,594,
316,855,723,179,664,830,133,017,112,310,351,270,683,947,861,552,609,882,882,
308,378,927,180,878,662,659,457,511,187,510,173,254,768,926,827,220,305,364,
772,508,915,135,015,777,119,338,373,208,211,723,292,224,076,605,517,326,037,
320,198,553,434,788,116,064,701,386,157,503,063,595,532,646,889,806,944,593,
280,954,440,071,938,643,148,915,304,231,489,167,261,071,510,522,790,933,302,
586,300,784,969,487,350,474,795,235,389,740,802,587,864,253,063,152,354,896,
516,209,859,446,100,717,327,226,843,905,947,898,965,759,062,791,659,909,500,
924,450,966,103,430,911,256,830,295,917,777,143,373,529,385,216,900,893,386,
887,637,808,542,072,735,252,515,586,463,316,541,173,529,081,214,826,367,698,
903,589,480,961,240,523,778,816,320,014,111,553,637,801,473,544,663,854,762,
939,807,662,022,634,345,931,539,555,599,415,822,782,511,271,207,216,273,861,
041,887,525,829,014,279,104,817,718,219,765,988,076,751,005,309,835,883,074,
296,772,392,832,099,080,976,536,441,287,870,631,658,248,126,083,764,548,482,
995,608,714,981,091,633,177,384,334,995,775,725,338,876,207,943,279,798,817,
019,970,083,503,950,629,847,981,955,499,623,853,229,516,883,040,051,215,206,
598,769,419,364,234,829,535,802,469,225,200,197,428,244,530,549,009,297,843,
517,625,025,918,823,891,631,869,076,012,048,402,303,642,412,548,955,021,249,
310,119,480,026,590,709,447,167,464,234,662,440,705,196,952,265,825,260,574,
725,679,991,704,642,003,585,225,794,081,916,787,810,826,906,752,392,921,821,
294,293,267,668,329,643,225,967,805,863,262,539,701,791,282,357,396,177,893,
396,136,574,623,241,677,057,698,759,142,630,001,207,682,690,259,306,020,712,
740,685,768,944,369,413,543,811,035,310,077,679,667,779,460,610,084,152,501,
774,229,233,524,715,807,979,781,823,366,179,085,506,383,795,351,037,246,644,
748,473,736,848,399,262,162,468,227,465,860,547,175,333,527,904,078,224,942,
553,475,289,701,377,175,699,630,144,497,550,386,515,058,021,070,493,824,780,
672,705,862,712,330,647,220,139,684,431,478,744,501,510,060,379,122,242,172,
033,357,405,804,916,882,003,681,014,880,085,706,181,422,340,741,699,937,344,
270,384,221,589,866,699,492,890,295,252,208,526,961,365,920,357,604,259,402,
322,693,272,911,235,707,748,583,217,858,852,359,190,216,372,736,214,092,401,
965,669,566,928,931,880,588,794,071,204,254,177,965,070,903,332,283,899,113,
240,342,539,894,134,350,410,724,188,525,980,824,552,869,836,315,158,052,137,
719,350,199,610,324,530,529,756,318,854,331,379,131,869,240,026,610,646,084,
718,414,321,542,207,255,802,892,926,478,628,430,461,605,658,434,231,187,029,
956,689,350,978,809,260,556,812,955,000,542,622,640,578,523,076,939,458,958,
198,704,939,691,575,678,638,018,853,505,614,017,686,693,856,412,967,583,260,
114,160,852,896,770,940,055,178,437,840,302,209,611,049,405,441,452,703,332,
556,088,090,501,551,231,934,245,041,075,819,197,607,561,256,350,647,349,056,
427,849,362,698,753,708,441,922,702,641,592,926,103,168,744,803,588,627,016,
546,310,725,719,681,361,533,408,967,453,473,981,748,822,048,536,899,028,471,
442,753,944,040,921,060,001,280,655,230,178,852,835,677,193,294,693,959,220,
720,602,227,205,798,455,905,089,081,646,786,162,388,834,182,119,525,585,064,
582,123,671,785,529,857,573,019,410,482,785,560,565,625,315,625,955,617,781,
335,610,193,040,420,943,623,029,271,064,804,722,112,857,247,137,381,281,842,
895,882,878,862,918,179,009,065,477,583,245,151,211,955,952,940,754,152,002,
088,422,343,002,804,200,653,669,368,940,369,925,277,930,399,997,454,474,951,
076,072,472,458,725,984,293,807,434,225,957,444,059,612,616,989,508,787,139,
541,022,209,456,738,426,882,989,472,991,552,368,379,137,829,417,323,176,726,
138,463,764,634,073,214,375,635,399,565,444,915,281,857,518,326,410,571,211,
856,762,430,367,956,529,739,442,494,219,687,720,187,815,415,813,177,764,722,
358,627,427,605,674,096,950,705,129,401,277,020,275,349,687,554,793,876,220,
887,715,527,386,045,992,377,587,395,840,792,689,343,266,986,128,613,643,662,
724,350,150,810,836,069,813,897,507,606,244,371,625,603,192,902,371,289,864,
717,241,861,855,919,397,373,628,252,936,056,479,615,001,272,551,570,303,906,
213,672,299,800,469,357,380,574,385,495,174,626,614,418,879,211,348,323,454,
335,699,375,262,085,486,915,295,067,308,656,524,929,146,628,257,545,825,349,
705,148,659,479,489,667,776,825,484,758,042,303,899,308,940,478,078,291,344,
031,519,995,499,863,081,868,016,989,784,667,014,121,601,709,473,915,948,567,
364,786,672,212,437,684,576,438,406,305,082,178,837,660,953,366,319,773,876,
338,542,030,474,162,259,113,617,458,105,978,597,800,713,925,650,907,698,079,
366,328,370,566,886,496,578,229,658,091,762,757,183,941,961,663,817,599,213,
977,276,353,965,247,350,320,547,170,799,201,870,811,142,616,684,978,851,015,
657,159,390,970,260,366,692,895,520,119,056,132,695,627,174,254,236,903,321,
655,424,636,487,138,363,342,945,768,141,973,274,688,089,529,061,076,056,970,
318,089,084,460,819,790,061,443,440,450,433,768,813,247,692,191,273,051,510,
776,321,687,488,549,232,921,611,356,208,722,981,797,535,386,637,987,226,762,
868,500,736,282,359,135,125,983,033,229,264,193,503,149,115,667,388,383,208,
370,995,743,400,583,438,468,594,447,326,300,599,530,646,252,311,495,467,670,
528,889,487,227,477,542,192,637,447,882,475,002,210,803,172,648,677,275,610,
591,726,742,139,254,430,618,643,985,011,167,030,989,651,059,120,007,248,994,
442,459,339,814,096,247,514,453,483,599,566,120,586,016,768,351,739,578,843,
824,306,480,399,875,523,183,236,712,056,565,825,562,081,773,944,016,019,349,
733,584,138,090,351,679,025,423,840,392,272,790,515,387,906,170,764,752,095,
572,749,320,648,653,800,410,875,132,279,462,640,285,138,076,064,737,628,342,
744,418,134,612,325,916,937,450,068,010,029,229,292,360,866,034,663,899,834,
859,877,820,382,174,721,361,067,917,849,965,013,893,396,795,256,612,422,817,
962,012,940,029,588,873,429,091,235,435,106,987,814,394,700,555,350,579,906,
792,281,335,398,921,216,611,734,141,524,510,575,420,237,293,050,350,440,879,
889,394,789,464,309,221,145,557,661,501,693,785,888,883,737,671,212,315,024,
163,688,809,240,069,345,678,984,008,091,059,025,465,312,361,324,989,554,167,
779,026,304,537,124,871,751,145,470,748,160,779,911,609,503,295,456,128,055,
008,180,908,000,068,744,449,013,940,488,598,199,693,921,604,466,017,801,010,
201,771,233,448,844,080,719,400,754,691,190,624,384,298,015,410,135,079,355,
354,298,833,170,704,503,433,165,822,178,329,494,217,943,083,372,506,333,060,
160,902,417,211,623,467,320,876,663,096,046,916,508,451,821,953,545,744,435,
275,213,277,969,030,421,201,421,647,500,472,067,571,588,807,223,083,544,765,
719,782,608,942,683,448,211,068,214,656,197,960,255,688,914,850,136,982,733,
866,455,789,218,353,676,747,454,627,611,531,543,695,084,656,553,166,022,919,
269,242,231,019,596,657,265,637,252,939,296,061,271,447,269,804,754,170,727,
176,722,106,847,720,201,317,148,221,887,449,335,278,577,974,478,623,859,328,
644,551,164,714,204,580,759,230,455,474,113,239,230,688,576,137,664,144,874,
154,264,322,889,669,668,262,605,519,801,020,337,556,896,516,393,228,863,699,
454,057,106,190,958,549,775,465,422,873,665,766,195,694,057,244,811,129,002,
458,681,784,103,743,360,904,264,354,251,518,132,350,181,357,597,738,383,073,
116,196,508,440,852,513,232,350,331,836,863,808,004,331,215,726,833,324,403,
543,305,578,621,443,353,342,504,789,971,866,934,855,718,862,236,274,857,165,
198,854,734,451,243,922,683,552,754,448,038,546,921,829,575,052,931,194,344,
283,817,738,419,417,481,166,041,067,291,562,672,237,914,497,831,466,992,915,
096,589,050,442,831,772,301,174,032,906,112,228,819,122,463,056,044,191,700,
599,510,686,750,106,325,195,664,617,058,191,255,363,658,765,989,942,608,361,
483,728,609,577,848,551,074,707,827,248,089,478,618,033,426,197,576,438,804,
373,878,618,284,084,764,120,739,280,688,509,340,280,258,588,687,258,621,034,
838,698,573,395,817,304,175,299,228,684,504,512,253,031,022,265,640,781,333,
539,194,242,222,720,688,118,820,271,911,949,008,666,810,601,509,780,970,356,
794,213,887,420,000,124,469,743,702,824,344,011,667,157,950,511,138,586,246,
719,461,682,250,665,073,389,270,920,591,165,783,375,194,534,865,280,731,859,
078,045,769,193,796,233,339,373,917,868,781,547,205,241,750,763,946,616,638,
940,739,136,017,865,934,598,718,234,089,112,797,833,235,457,203,262,806,288,
459,903,447,025,670,951,653,079,680,269,947,521,334,787,303,166,002,703,785,
127,322,222,583,233,379,654,718,028,728,789,273,482,826,239,060,030,472,873,
345,415,339,877,339,803,345,438,172,832,566,422,381,535,884,413,837,380,181,
840,758,036,753,279,013,029,754,445,266,549,172,189,180,832,103,215,090,163,
434,882,266,388,457,580,787,043,084,137,570,797,828,049,600,605,267,606,917,
404,958,437,748,497,708,088,637,432,298,554,173,798,797,327,688,843,282,917,
672,344,530,101,527,211,184,362,241,544,940,249,878,093,086,056,128,536,467,
720,157,300,177,497,095,873,097,845,053,308,080,004,900,343,921,655,026,869,
409,902,669,895,559,137,624,230,371,550,468,818,164,019,698,706,403,048,063,
132,773,618,629,457,880,740,606,486,186,093,668,464,533,197,368,830,284,676,
431,265,007,645,792,733,813,125,466,724,267,756,269,990,625,906,414,994,305,
691,146,168,133,534,593,699,671,206,051,081,633,816,512,945,271,543,785,697,
871,816,517,406,326,059,495,134,636,622,796,191,920,759,322,994,507,754,518,
728,825,811,628,637,919,059,688,898,068,723,111,038,224,816,414,978,386,636,
510,916,771,697,038,631,125,149,146,602,382,147,153,701,760,059,745,152,832,
114,456,855,495,877,001,837,166,175,487,557,836,387,861,472,687,167,638,989,
206,437,935,385,145,293,631,079,265,532,393,653,343,424,151,248,921,990,660,
881,208,471,366,539,652,852,950,865,362,263,705,976,735,144,615,388,719,314,
793,147,639,300,196,001,733,548,334,330,470,837,616,627,064,054,708,606,610,
969,303,479,295,762,066,996,646,428,776,539,071,374,715,434,546,188,123,072,
833,690,123,349,494,153,051,295,456,142,012,014,560,102,550,542,019,915,595,
109,698,633,590,665,105,502,998,670,462,494,782,429,772,646,670,555,756,628,
733,631,114,509,792,817,159,083,040,569,705,008,592,487,433,980,491,587,601,
753,554,473,127,547,253,106,881,845,325,348,859,126,003,128,231,446,565,450,
592,671,525,381,489,501,413,561,828,224,159,868,344,239,401,004,107,699,516,
332,555,250,192,876,396,768,987,131,568,607,438,073,423,838,866,091,647,886,
250,085,715,876,773,555,146,779,949,079,644,749,217,465,592,214,954,546,779,
752,977,421,567,193,730,126,985,210,669,750,561,317,220,682,096,996,158,675,
710,421,801,516,861,241,046,672,403,593,940,457,249,977,344,465,051,230,276,
821,503,416,391,903,239,142,417,872,354,243,868,839,366,249,534,912,616,113,
865,235,619,269,556,749,421,538,311,344,291,909,826,382,259,871,915,557,490,
594,704,828,966,695,022,227,113,761,860,083,936,826,976,541,909,647,577,919,
440,687,940,626,010,452,990,190,858,303,026,860,881,982,907,649,007,070,105,
544,151,359,931,284,215,892,894,473,540,543,235,382,542,155,852,071,995,248,
566,525,721,316,580,334,035,645,272,856,610,617,819,104,179,408,074,882,482,
819,253,675,654,337,298,400,798,771,754,065,071,318,291,008,020,806,596,984,
469,701,627,512,545,749,747,349,324,703,692,918,576,629,692,987,185,099,060,
440,532,571,703,038,144,974,409,130,750,629,896,341,792,776,242,468,398,533,
792,384,471,204,219,347,023,329,492,198,964,570,432,219,245,203,818,338,537,
708,623,107,933,172,654,258,360,910,911,190,675,331,019,951,758,260,453,472,
575,039,120,114,547,469,379,784,725,124,721,630,753,705,282,340,868,667,934,
225,078,167,230,844,664,473,718,112,421,971,846,679,532,161,724,721,616,330,
872,599,455,753,997,972,586,405,905,655,716,253,207,262,291,917,788,845,438,
314,081,977,357,765,020,568,120,242,705,825,266,080,521,103,726,765,835,575,
592,553,214,864,299,459,205,403,186,926,028,299,666,137,588,226,286,292,780,
300,425,075,360,475,976,749,717,308,478,373,503,069,752,716,204,812,947,912,
488,333,730,635,384,504,573,182,624,936,423,867,808,224,253,333,034,977,535,
255,211,711,150,137,107,411,614,197,808,370,953,095,044,737,536,476,007,846,
632,188,928,167,102,999,624,213,810,160,935,681,476,456,588,361,151,680,637,
168,663,978,121,426,753,993,912,132,680,966,854,374,804,379,902,158,527,661,
641,791,809,941,364,521,156,550,129,985,901,651,397,355,822,923,174,468,222,
251,420,592,342,311,061,248,633,417,815,506,898,064,861,961,835,090,954,367,
109,015,967,838,932,357,195,006,814,667,165,851,868,699,896,638,622,983,258,
513,944,355,115,782,153,563,031,304,711,492,514,980,161,750,779,163,518,263,
987,786,243,170,656,682,006,141,701,313,846,522,024,251,942,561,577,212,880,
486,068,778,530,244,748,250,855,048,308,683,157,229,977,792,863,091,608,603,
524,035,173,529,852,148,754,795,324,410,560,231,437,829,880,962,267,954,100,
136,510,025,566,496,923,400,923,805,768,258,760,882,949,220,356,984,894,522,
522,415,727,229,139,512,835,266,219,502,674,413,161,194,133,191,786,313,255,
864,723,481,502,154,916,819,301,817,537,468,612,748,852,379,653,889,091,582,
480,393,538,620,111,582,043,615,367,162,124,184,884,137,230,996,639,127,130,
150,016,778,993,235,880,492,456,665,021,375,903,657,664,187,092,294,075,861,
174,118,656,237,559,443,936,444,709,231,278,238,425,211,648,804,613,079,596,
452,224,550,884,215,941,267,093,308,158,505,219,847,688,134,166,722,639,248,
736,518,150,349,549,876,833,008,983,338,229,580,305,827,921,531,471,051,975,
238,665,898,418,862,275,722,245,563,415,010,176,396,336,269,544,177,305,251,
866,267,957,883,881,300,918,153,003,382,518,091,741,056,997,094,510,248,761,
561,048,583,941,743,492,441,811,332,611,976,382,690,516,289,377,570,434,618,
421,340,460,053,846,483,164,851,044,766,200,598,334,157,084,025,594,649,588,
964,394,208,198,303,559,299,345,052,340,969,648,014,338,748,854,076,489,832,
254,333,375,152,626,543,622,713,017,628,769,000,576,181,979,424,159,147,628,
901,556,780,852,592,888,940,333,751,416,398,201,713,905,432,326,830,168,270,
191,623,452,645,935,877,751,311,972,210,100,594,943,197,508,746,329,190,461,
036,041,062,075,379,622,948,761,952,268,571,370,355,237,770,745,835,148,624,
680,162,111,248,172,948,859,873,330,389,482,251,108,725,793,336,632,804,338,
820,415,658,136,118,944,056,072,283,422,139,580,067,384,793,372,092,126,518,
523,313,025,552,214,186,020,875,304,116,689,811,199,240,218,954,375,761,444,
051,760,048,419,792,481,021,660,748,819,727,775,599,789,501,799,379,784,209,
329,302,775,610,819,592,394,607,826,373,161,598,843,368,512,738,639,010,737,
358,356,548,536,691,048,337,862,643,871,415,234,376,899,702,967,849,326,710,
632,975,846,096,343,604,211,366,148,098,655,788,355,546,028,021,877,992,970,
405,175,217,602,859,486,909,868,559,347,105,840,297,479,529,250,745,839,416,
197,831,251,527,351,028,500,798,755,447,657,366,516,937,745,021,917,917,715,
494,757,474,898,817,864,773,552,107,079,789,656,182,056,028,824,082,552,945,
072,748,496,910,233,868,462,487,742,165,877,365,107,064,409,868,857,577,912,
516,499,509,711,088,881,423,312,006,686,426,701,859,357,297,830,177,140,519,
858,339,740,326,593,599,208,365,692,291,277,706,101,033,908,514,469,938,463,
134,576,280,609,868,452,422,422,969,616,989,923,343,869,646,600,227,663,147,
238,309,246,878,691,448,301,936,619,808,722,128,849,549,504,305,482,925,918,
119,775,656,701,976,202,076,890,300,242,291,287,350,812,906,845,784,623,864,
045,621,181,378,271,941,165,566,274,336,201,014,524,353,660,581,328,192,154,
811,954,462,159,857,338,211,684,817,673,099,775,979,836,837,441,932,142,424,
844,413,928,317,691,139,589,232,330,766,431,945,644,233,875,517,404,468,842,
204,776,778,895,566,461,281,304,197,908,738,235,186,729,226,798,015,286,282,
673,590,108,731,247,267,596,873,640,229,859,380,551,779,816,839,971,021,828,
105,125,747,526,527,643,086,895,217,395,672,622,884,624,192,923,480,132,422,
807,704,218,139,718,480,036,322,169,412,167,481,493,929,883,543,627,834,772,
726,473,203,769,920,256,138,688,473,163,413,834,239,343,683,973,116,909,675,
301,650,492,750,166,083,864,572,199,003,716,535,822,414,912,721,254,598,589,
485,099,476,183,335,992,277,840,690,133,463,775,129,822,175,697,347,674,634,
271,950,460,419,608,797,125,917,838,017,920,714,684,065,798,521,240,482,379,
037,188,596,115,405,626,151,775,595,071,807,113,510,425,421,554,765,030,139,
724,049,652,180,967,069,860,488,761,754,730,890,435,653,652,131,194,266,954,
913,806,589,429,420,705,585,112,810,996,389,845,831,703,030,907,611,726,647,
462,729,329,673,542,523,054,244,508,326,905,859,671,185,879,276,762,279,183,
753,548,205,424,286,580,499,045,981,726,882,995,849,970,957,289,870,393,537,
101,101,745,766,851,316,655,748,196,456,187,568,963,258,099,838,349,349,281,
938,359,250,394,741,884,964,540,696,358,820,616,373,281,119,077,109,224,602,
822,121,570,979,006,672,202,964,521,666,166,986,873,213,227,071,735,963,138,
395,853,024,729,414,306,508,184,740,462,422,717,166,261,632,679,306,621,202,
905,486,942,842,609,615,928,373,190,508,156,967,868,371,014,900,356,782,120,
776,805,068,624,912,472,567,723,412,693,706,379,775,181,041,951,113,655,805,
427,800,789,358,613,562,591,112,448,251,828,559,255,425,641,407,829,555,768,
553,817,093,519,161,566,402,906,421,543,238,826,718,641,594,321,259,447,398,
942,082,208,817,229,206,770,114,841,536,737,744,468,080,120,742,042,047,613,
533,944,349,350,923,186,156,981,491,911,813,648,291,015,167,999,830,210,485,
543,273,458,055,028,422,284,896,982,712,809,192,619,269,307,668,766,938,006,
605,299,782,697,738,709,239,574,330,216,731,724,570,450,358,368,947,357,579,
198,352,950,892,471,951,864,939,847,693,690,939,973,434,778,675,566,944,908,
134,453,276,435,019,039,502,375,622,235,514,971,870,498,861,833,081,831,148,
883,801,186,430,350,850,617,293,782,449,861,781,761,441,001,416,127,091,269,
638,714,864,399,627,652,482,475,600,804,338,886,138,402,733,569,574,548,305,
874,230,994,025,325,760,675,200,501,681,295,400,951,672,193,284,808,357,161,
077,814,307,092,800,666,263,045,725,812,747,190,141,544,189,061,430,617,123,
689,779,431,051,980,562,810,574,495,738,151,744,959,199,115,594,579,044,862,
965,946,972,809,036,009,824,160,206,490,046,754,179,973,180,981,862,372,736,
632,069,985,759,578,444,846,305,568,303,057,799,511,994,610,202,812,680,840,
705,577,486,243,608,839,699,505,341,707,741,037,041,271,080,964,706,231,679,
948,241,324,664,451,159,589,490,701,620,516,988,560,828,550,404,102,856,114,
728,066,657,608,411,077,019,633,355,781,340,469,118,224,824,741,051,035,117,
081,343,178,439,613,221,024,526,080,966,975,905,828,127,536,770,384,059,426,
378,155,436,486,135,236,375,026,312,923,418,010,755,250,756,025,458,653,984,
055,364,658,765,104,359,462,944,124,260,384,183,163,706,468,966,272,758,940,
036,471,663,761,966,772,053,559,747,506,766,220,294,454,286,018,522,379,367,
982,931,841,037,982,364,219,118,399,481,080,507,883,413,897,307,081,813,467,
925,304,879,527,350,351,956,718,509,420,632,813,251,296,440,360,767,508,650,
381,924,539,772,984,275,339,288,075,369,716,539,491,081,229,786,130,245,447,
638,653,297,180,040,591,200,322,245,978,885,886,137,239,650,961,912,075,475,
322,637,356,130,172,296,347,514,212,365,485,094,273,232,999,267,809,241,422,
927,337,728,128,219,086,025,708,667,006,838,111,413,148,918,665,244,608,617,
765,482,744,892,916,193,320,642,093,790,941,426,932,127,467,347,764,070,948,
200,884,464,800,125,202,666,194,479,524,131,597,803,116,034,791,721,846,847,
976,459,019,370,691,182,006,424,777,103,621,182,093,709,965,968,013,678,206,
361,472,867,248,744,224,039,691,892,715,586,563,387,854,689,998,543,146,953,
825,607,458,287,629,697,658,683,880,883,180,898,676,817,235,393,900,023,391,
249,544,191,992,725,808,801,035,590,398,948,409,257,672,597,446,611,619,091,
181,337,221,969,260,486,876,681,024,649,861,458,548,963,018,238,972,927,107,
827,772,016,005,256,978,593,489,175,822,089,906,518,361,655,424,705,332,274,
905,403,803,963,395,972,082,231,813,728,040,677,021,708,361,166,496,435,260,
924,090,610,618,527,809,270,957,554,615,217,486,759,097,451,833,269,788,976,
882,271,799,041,315,692,341,924,452,250,106,303,540,216,922,017,631,150,026,
196,532,274,727,756,459,982,376,482,097,127,839,231,869,080,076,027,978,474,
155,771,474,197,688,015,447,584,060,804,157,461,562,599,915,413,965,113,737,
121,744,266,902,633,730,992,161,448,381,803,444,323,894,443,630,335,502,097,
401,190,838,292,188,490,373,500,645,987,642,854,557,664,018,953,051,025,444,
778,060,092,811,199,652,400,973,368,059,364,894,497,755,818,726,948,822,267,
053,551,389,332,276,845,521,046,068,975,965,951,240,575,623,705,537,107,822,
875,996,751,305,875,355,912,036,628,378,570,401,273,738,978,616,091,320,884,
155,956,245,275,079,294,203,231,407,281,969,087,680,041,297,421,020,229,427,
042,055,071,012,739,829,450,473,473,994,424,913,452,620,659,905,497,317,623,
699,209,661,280,935,576,280,876,968,216,881,868,501,861,774,656,201,215,063,
737,912,663,566,720,869,539,881,396,614,444,455,409,022,959,972,633,258,691,
724,982,009,799,317,898,483,544,712,806,331,714,787,760,334,170,657,475,491,
565,740,353,175,156,093,997,312,705,475,159,535,237,459,340,649,558,411,800,
311,427,181,401,404,025,673,423,848,311,531,055,075,907,471,744,117,096,072,
551,716,231,967,628,162,837,941,652,986,598,304,137,733,962,187,395,428,056,
950,677,485,632,802,027,989,491,751,194,985,124,539,493,067,291,190,637,704,
534,503,199,616,216,330,784,474,064,295,278,699,524,184,007,039,069,642,738,
369,573,472,942,086,098,099,209,841,786,686,905,281,848,724,320,173,338,996,
775,994,288,254,246,611,582,379,664,016,061,397,601,594,565,391,585,698,580,
176,718,930,757,343,153,502,550,168,212,062,162,566,032,775,703,309,576,048,
831,854,040,571,732,349,508,453,429,929,680,848,993,852,728,038,065,892,798,
302,181,549,983,716,541,218,031,866,848,423,810,511,966,896,176,489,574,093,
998,844,731,582,600,438,126,946,876,953,882,329,591,803,122,184,330,009,689,
430,245,756,292,990,787,370,904,245,874,068,261,680,274,042,792,914,738,138,
999,864,225,697,026,555,590,879,856,147,927,855,911,542,307,408,180,728,332,
924,654,364,410,852,715,951,935,436,187,309,961,421,098,629,754,908,753,530,
754,688,483,156,238,028,310,691,352,356,791,018,462,756,501,806,350,645,482,
862,170,628,056,080,585,194,230,031,273,579,255,909,629,607,473,465,414,264,
949,449,594,535,151,700,559,628,093,158,331,801,656,800,410,900,883,692,733,
125,749,283,952,608,393,781,283,962,699,046,630,147,242,436,494,494,321,704,
044,424,879,082,740,789,031,350,696,351,545,726,746,165,723,939,188,407,974,
044,072,230,500,878,051,169,196,996,597,937,195,999,068,158,253,438,488,028,
779,086,241,802,095,876,763,341,087,853,641,453,821,791,704,023,930,570,744,
402,164,403,225,571,662,175,185,141,239,196,489,840,656,967,165,764,273,158,
917,140,051,064,651,700,797,248,296,619,167,213,657,977,305,041,341,036,165,
770,377,090,850,254,495,604,900,344,304,111,870,266,865,075,957,780,259,682,
221,382,431,931,945,581,143,294,447,882,210,038,493,857,589,041,074,822,070,
511,371,298,493,224,867,939,383,490,057,067,558,570,176,268,492,915,117,186,
368,698,863,054,159,662,496,680,543,961,039,072,625,543,943,753,576,563,753,
409,878,019,156,590,814,816,941,569,646,196,914,384,111,909,429,183,343,711,
063,801,388,109,137,313,164,451,392,012,861,640,178,922,327,236,618,776,970,
992,065,344,699,392,192,210,519,189,855,133,295,773,590,345,034,158,689,877,
156,328,540,724,810,033,573,342,873,932,834,523,371,915,860,195,649,382,427,
893,392,215,493,358,875,759,733,886,798,381,942,285,353,207,781,039,920,359,
640,911,290,736,352,279,850,877,050,661,896,834,972,220,705,135,808,618,998,
449,411,084,771,666,661,471,191,004,538,760,689,197,257,724,144,286,286,186,
470,582,776,613,248,339,455,048,943,772,512,886,141,463,394,935,745,187,808,
669,213,240,580,293,408,726,972,384,879,193,718,400,540,924,833,780,124,421,
273,157,304,013,404,905,680,703,301,014,035,673,305,931,165,170,802,582,337,
537,817,347,679,444,989,514,241,763,199,684,678,811,616,323,816,404,490,180,
666,313,321,313,034,657,824,230,536,453,799,253,588,872,176,723,925,064,251,
122,265,955,615,896,330,254,520,320,515,940,433,656,140,340,325,046,714,456,
002,659,977,430,236,069,581,117,809,218,269,756,527,648,880,478,377,840,375,
438,053,738,987,161,440,292,383,889,086,908,634,418,060,457,459,494,274,265,
678,108,007,707,219,786,778,619,507,112,406,923,009,962,246,623,217,860,682,
420,755,800,428,811,815,291,441,774,459,712,313,547,309,976,694,788,071,072,
198,142,718,158,352,230,669,103,733,753,459,099,737,609,170,127,141,121,244,
688,473,264,406,183,556,728,962,972,902,840,038,580,242,407,500,766,341,233,
856,732,640,208,947,845,439,441,673,577,722,781,334,845,166,315,507,892,212,
334,457,202,468,690,264,837,483,821,927,074,181,030,530,466,292,279,571,476,
562,317,633,900,085,705,065,540,494,619,348,836,024,272,626,643,325,000,741,
339,037,215,410,229,272,332,108,693,451,375,469,331,004,069,920,069,789,637,
872,302,509,053,878,316,800,024,515,770,742,890,023,653,706,267,232,749,142,
343,562,642,707,838,980,409,668,471,927,765,224,798,993,776,184,258,993,177,
095,860,254,775,711,973,135,925,392,480,194,390,140,509,955,297,906,907,233,
650,243,555,594,202,725,185,607,989,332,387,153,745,962,485,365,668,447,696,
195,204,318,830,543,578,380,959,768,419,325,064,534,578,700,234,236,097,131,
257,445,209,581,199,924,353,301,570,527,952,302,448,022,608,609,644,590,372,
336,794,989,358,965,203,789,190,540,881,153,215,936,434,131,391,252,259,539,
472,315,467,271,433,599,016,819,417,882,961,633,175,809,436,151,503,967,643,
285,407,438,760,408,489,345,032,222,369,046,240,535,922,446,957,875,430,485,
721,721,852,745,318,731,731,326,957,370,338,238,097,653,645,505,486,094,468,
333,386,082,508,818,904,519,277,735,336,280,105,444,504,415,128,529,983,417,
755,377,391,055,045,384,944,792,519,015,489,304,225,056,015,547,324,435,352,
944,327,282,928,714,185,574,299,408,257,536,757,359,795,247,537,894,481,260,
098,451,446,232,956,620,359,441,267,248,023,449,744,098,281,384,749,512,123,
659,341,938,033,154,266,031,095,664,646,044,764,019,064,413,819,519,773,648,
585,161,725,713,778,777,721,711,669,968,826,167,057,566,610,223,741,749,914,
716,022,517,298,816,172,772,755,584,357,912,772,987,467,979,870,330,552,698,
110,654,997,318,783,453,577,277,895,864,691,478,523,087,948,999,462,245,237,
509,967,977,726,774,304,879,378,264,315,115,856,673,290,499,751,660,719,542,
650,385,608,794,803,187,243,645,640,985,014,206,401,587,840,812,428,476,194,
049,879,931,689,968,864,173,322,588,462,788,190,667,204,089,372,446,164,767,
614,502,884,904,180,393,782,369,919,827,957,090,734,981,393,514,096,412,048,
478,085,000,210,992,685,079,069,366,585,748,410,195,247,523,497,153,357,689,
090,183,470,866,922,016,827,935,593,650,837,362,648,511,705,525,434,591,413,
482,929,375,257,760,145,001,019,727,987,878,020,473,097,405,728,645,609,454,
944,445,845,623,082,897,192,186,453,513,770,517,830,531,242,871,918,496,450,
445,557,442,843,891,951,820,804,643,985,842,410,732,211,494,273,947,751,165,
041,067,398,621,865,085,376,488,487,904,881,948,456,128,580,770,636,606,151,
891,468,519,383,957,141,141,479,528,534,946,967,286,126,820,719,123,710,577,
966,907,010,804,850,306,861,262,688,268,986,756,594,210,556,132,712,413,884,
247,710,201,180,977,753,932,317,740,254,348,722,087,175,297,323,292,865,845,
229,210,645,917,658,394,774,925,591,588,948,281,118,234,203,047,726,273,007,
794,974,904,647,556,455,104,019,330,759,750,247,902,845,274,858,985,741,965,
728,797,890,300,455,947,451,531,229,659,292,889,819,471,120,402,162,346,206,
069,541,512,459,334,769,829,143,654,271,465,468,707,579,813,601,045,027,662,
602,261,616,852,915,925,338,754,538,347,178,900,903,932,368,426,534,487,817,
365,015,106,691,293,957,379,076,915,809,996,204,740,974,317,969,967,771,672,
654,693,214,923,405,916,833,173,873,275,975,699,183,922,468,495,434,790,193,
531,107,397,483,244,792,929,999,593,603,864,441,300,628,328,151,102,812,376,
602,463,162,789,390,358,055,698,647,016,650,091,976,108,765,254,277,552,189,
204,529,633,295,889,724,728,973,712,498,510,010,640,140,211,470,609,871,149,
677,899,388,657,133,155,660,073,810,816,089,440,155,757,326,595,555,064,840,
160,624,204,521,028,148,797,085,305,842,578,762,318,367,887,129,013,108,362,
255,027,602,210,323,978,000,909,266,456,931,306,056,792,608,661,478,508,831,
500,433,144,942,962,565,900,760,104,135,806,246,700,925,078,317,272,984,208,
440,016,621,301,160,516,342,680,880,063,989,797,126,833,000,835,611,664,695,
067,266,160,874,081,278,826,601,909,181,308,279,944,102,757,279,380,613,419,
900,276,162,000,279,407,943,197,422,719,531,088,930,163,585,612,237,969,543,
481,653,601,287,113,393,145,605,410,822,287,726,788,628,279,462,404,024,664,
506,871,756,883,151,676,475,730,416,478,294,937,164,117,251,195,862,263,067,
348,856,050,935,547,557,505,302,616,678,910,425,430,055,027,848,112,115,885,
550,906,896,378,074,792,622,609,319,552,488,548,882,171,541,492,110,955,276,
366,630,105,843,604,990,957,300,313,948,517,308,128,487,344,490,885,521,305,
406,876,245,060,077,719,888,240,512,379,279,503,258,786,173,280,867,724,879,
758,915,763,812,938,595,736,533,984,957,599,490,165,716,204,918,120,951,083,
881,825,213,370,324,199,898,388,979,161,122,453,609,554,117,522,094,169,783,
377,200,780,121,918,253,254,238,820,368,104,312,450,303,356,733,660,015,076,
716,510,497,979,604,674,985,026,784,577,579,034,765,705,757,379,747,042,768,
773,736,711,986,180,565,728,044,796,347,275,987,314,489,738,083,353,636,810,
266,897,651,418,401,004,113,615,845,412,591,900,305,685,551,887,740,427,160,
782,495,758,114,378,488,098,431,920,139,481,056,368,002,719,251,266,476,051,
182,211,465,392,229,621,747,247,702,095,783,411,484,066,757,072,762,627,767,
246,954,143,558,009,437,508,001,685,230,104,168,403,527,256,445,418,272,722,
813,285,743,384,947,458,718,168,639,123,183,337,734,604,046,145,976,683,085,
630,978,553,516,371,168,432,446,942,213,226,446,726,580,564,626,260,215,975,
480,019,316,949,121,535,549,651,297,419,420,279,938,521,208,614,035,361,485,
375,158,463,505,935,391,657,568,325,630,439,826,569,239,307,403,708,844,560,
129,974,088,583,770,854,184,822,512,070,604,654,639,867,310,503,630,854,364,
868,694,390,254,004,719,436,335,827,304,006,104,258,426,740,204,889,854,709,
770,109,086,031,623,523,111,239,390,712,292,426,550,079,074,106,103,432,801,
372,481,133,530,531,791,683,954,626,117,888,729,250,050,637,939,715,225,941,
143,135,087,405,987,226,968,587,559,715,705,578,071,939,124,530,664,879,903,
985,135,488,164,282,695,202,764,673,411,884,293,259,980,481,138,686,465,855,
874,649,782,314,728,369,352,552,977,769,337,266,425,327,349,695,503,010,764,
607,309,808,054,215,438,655,598,446,766,279,635,659,936,024,388,445,305,922,
610,778,075,777,313,253,496,861,737,509,842,131,966,468,857,565,044,847,628,
961,967,119,329,308,043,696,428,718,711,570,241,237,932,703,454,588,858,610,
178,264,190,670,800,534,882,520,629,963,084,238,975,735,088,128,194,311,758,
063,982,353,522,567,760,473,727,811,473,814,209,507,377,555,702,203,199,552,
898,755,207,013,087,828,569,824,463,774,839,323,949,146,573,668,408,505,874,
256,386,943,686,014,461,789,865,430,143,488,910,179,348,971,630,176,876,147,
627,462,539,443,428,614,786,314,257,451,000,133,481,718,587,919,979,178,667,
537,129,333,329,266,706,355,648,950,897,820,438,595,886,713,933,486,858,309,
087,561,369,457,884,787,548,842,080,090,305,118,176,057,016,242,454,964,174,
675,977,624,768,591,124,966,272,175,961,536,438,436,139,781,710,699,250,263,
595,518,240,741,233,473,528,598,958,505,025,913,228,778,629,769,817,744,811,
887,332,716,429,751,115,160,674,341,532,529,747,492,968,123,142,215,295,641,
458,246,028,572,388,666,521,821,672,403,286,337,806,060,057,880,585,630,762,
259,687,547,971,712,571,710,906,223,484,583,658,025,483,667,806,082,141,570,
342,630,245,140,677,315,645,547,438,601,613,993,549,595,020,714,311,953,889,
108,864,345,703,819,615,038,385,045,811,500,165,298,607,167,758,487,403,787,
685,634,569,462,079,974,932,190,208,266,092,697,817,708,436,264,835,607,219,
653,909,264,688,413,421,875,035,328,244,967,253,451,734,900,646,674,936,198,
017,505,499,072,369,167,511,517,405,965,287,608,313,706,894,913,941,853,609,
941,225,346,297,449,659,286,075,512,796,451,869,180,927,661,436,744,633,998,
214,425,025,614,729,119,743,406,335,163,301,102,783,529,412,059,432,177,068,
230,275,808,467,180,809,097,580,370,128,055,446,766,620,623,506,261,523,152,
054,204,338,193,783,451,949,024,490,471,514,968,866,960,988,095,364,689,032,
378,562,251,602,899,632,086,768,557,364,348,024,722,538,022,645,730,711,380,
535,390,188,430,246,507,655,399,877,352,905,628,215,901,822,304,177,759,183,
064,853,927,957,521,085,570,357,224,838,323,173,667,541,615,595,472,439,423,
794,502,109,178,208,437,844,501,817,627,332,248,771,911,882,652,960,167,167,
921,515,667,700,126,273,027,359,156,097,792,292,610,461,459,766,225,122,620,
938,203,733,860,212,106,273,499,056,104,413,744,593,799,324,169,449,417,804,
949,489,639,075,006,780,396,106,744,241,196,115,635,114,798,471,026,986,416,
356,501,319,520,502,976,895,858,641,760,089,375,127,057,419,505,687,582,830,
353,743,777,708,716,060,059,848,894,801,187,415,784,358,476,562,487,923,316,
477,885,873,230,674,217,162,441,992,520,018,052,296,562,933,368,379,712,424,
968,078,459,659,971,847,398,236,399,066,082,301,473,155,766,012,528,545,334,
102,762,631,251,225,993,033,200,140,570,171,231,973,867,317,776,398,309,325,
644,258,096,525,703,147,749,048,182,252,696,421,780,998,065,270,634,492,430,
461,736,132,540,117,075,099,334,083,940,331,677,617,322,131,235,449,664,859,
474,074,836,831,865,776,425,775,350,134,671,526,704,560,362,483,627,073,902,
663,961,049,489,142,186,117,017,096,628,300,587,786,592,757,529,980,583,013,
910,864,558,835,865,724,971,269,789,726,402,845,039,659,843,735,435,463,575,
873,360,011,461,133,444,488,750,039,938,401,812,284,013,509,735,411,396,153,
488,347,345,045,950,687,712,538,406,090,277,578,224,690,115,967,562,538,900,
638,014,687,879,522,069,039,425,662,100,726,676,241,323,301,485,989,541,838,
672,952,082,303,413,107,714,588,832,976,750,999,243,634,487,644,067,328,727,
165,230,580,170,796,353,515,529,774,808,359,760,228,182,315,757,786,569,781,
669,923,842,198,574,186,930,090,097,773,707,479,678,403,716,378,342,694,811,
455,125,863,053,219,139,035,416,297,586,553,761,224,149,586,800,288,090,896,
666,954,633,228,691,900,569,646,952,181,819,855,031,318,586,778,564,943,049,
632,952,468,556,001,512,421,334,197,974,529,436,966,579,541,692,820,939,164,
635,605,661,608,123,792,370,712,170,168,423,416,152,823,429,553,998,340,279,
893,604,558,006,296,279,701,804,631,685,111,133,051,255,456,712,022,406,491,
228,732,127,096,295,515,857,255,415,445,946,595,197,087,515,864,810,990,565,
510,949,670,854,375,561,178,667,441,028,858,387,138,056,228,611,728,174,416,
221,335,687,923,855,162,938,935,026,367,727,955,652,089,150,232,778,785,493,
894,798,157,439,916,564,770,338,582,984,871,064,485,480,768,409,212,869,372,
870,557,616,613,789,993,787,772,168,752,308,987,565,295,087,264,653,940,128,
768,768,308,044,849,510,025,897,309,793,946,925,545,566,246,347,236,091,934,
340,305,520,627,872,921,606,417,999,683,667,413,747,517,483,751,594,056,149,
518,618,526,740,442,661,012,885,280,214,563,623,311,653,807,434,691,173,061,
375,513,460,930,343,562,391,911,556,861,196,829,943,176,291,192,968,832,789,
145,568,815,856,093,932,472,502,635,515,618,829,123,233,549,756,583,477,196,
212,574,871,432,521,885,727,960,723,064,753,619,510,933,874,878,486,045,530,
362,624,015,090,323,398,314,908,558,084,258,292,925,185,405,993,961,188,886,
029,783,044,326,259,994,064,561,142,733,156,825,258,383,130,735,716,612,450,
502,196,739,535,562,661,314,504,119,671,835,540,312,974,648,385,247,890,648,
814,911,554,161,280,108,229,369,456,376,889,183,239,562,006,122,661,273,470,
537,799,469,490,607,555,032,860,461,684,151,026,921,099,772,968,678,141,194,
021,437,933,224,315,383,308,982,992,879,309,115,982,958,854,663,724,530,150,
550,247,762,293,173,333,532,026,761,551,304,050,430,236,716,364,043,031,500,
969,095,777,322,808,420,142,276,487,729,909,639,646,247,381,282,714,413,265,
732,784,028,234,253,935,723,427,093,356,869,032,944,164,467,547,192,583,346,
693,576,752,407,580,286,882,168,866,734,810,279,619,726,539,101,860,409,784,
912,259,556,811,875,953,488,553,410,202,372,727,812,578,761,086,194,472,207,
987,662,352,272,877,993,681,135,086,166,226,687,193,702,389,730,237,411,153,
342,963,924,895,494,622,973,795,701,293,837,698,536,950,898,252,494,133,841,
279,052,247,306,016,085,921,138,774,521,410,685,571,142,111,033,131,471,569,
352,187,752,043,956,564,141,122,936,942,520,234,460,368,860,026,587,572,142,
451,428,972,654,781,719,142,454,479,827,518,187,816,819,011,461,664,116,251,
455,004,091,731,196,801,024,854,866,672,902,216,322,296,622,931,628,281,697,
825,694,625,453,808,016,309,829,585,334,918,011,178,495,398,580,320,324,289,
751,538,207,207,216,405,936,521,052,639,782,819,307,942,781,751,050,388,871,
526,254,435,322,903,186,209,396,582,081,857,011,343,696,566,345,040,550,556,
413,019,234,017,946,227,561,590,109,794,275,797,813,951,100,657,127,549,745,
507,625,871,976,096,760,407,332,284,973,422,905,022,360,420,688,707,352,900,
351,357,498,340,420,650,045,774,999,661,800,591,643,583,542,861,293,346,826,
356,087,722,228,839,115,170,988,514,609,781,948,458,661,761,591,278,460,460,
999,567,252,248,722,088,459,797,611,859,927,335,323,795,908,927,345,355,073,
055,222,805,870,165,312,459,865,446,471,028,311,780,493,078,813,983,536,754,
869,324,151,552,440,602,508,847,484,821,302,224,682,346,949,896,289,250,262,
090,250,820,247,736,380,891,997,828,736,374,688,768,751,157,441,862,693,250,
483,695,191,400,381,319,473,032,988,030,611,737,171,633,817,799,015,864,826,
735,042,119,556,771,160,833,483,902,582,722,092,277,437,608,849,656,312,985,
806,529,686,893,233,963,863,311,543,149,697,704,197,208,122,801,686,385,877,
971,890,328,476,075,870,923,453,567,708,594,389,122,098,387,659,549,308,363,
522,729,709,555,180,469,836,304,307,121,561,200,453,649,860,435,967,164,321,
130,279,958,387,089,516,866,484,270,556,755,969,468,770,378,149,492,434,455,
921,869,880,643,083,355,416,025,920,594,214,609,676,385,674,063,237,093,301,
524,521,712,572,019,772,797,403,498,296,911,370,386,163,187,227,790,126,178,
713,092,734,261,125,884,868,722,773,683,319,974,380,161,288,345,771,699,501,
000,856,266,524,461,479,360,262,619,602,699,854,444,801,548,766,535,626,337,
397,962,937,852,344,079,557,993,611,433,446,987,071,374,321,941,379,734,391,
300,345,825,550,043,586,846,742,782,750,726,282,527,033,482,462,530,719,843,
974,606,925,076,315,294,182,104,812,970,461,115,509,989,242,565,553,172,826,
164,438,663,530,291,630,393,995,222,203,676,343,246,210,869,002,339,432,431,
216,399,368,170,265,822,534,043,642,915,545,035,193,894,128,262,639,569,674,
284,326,257,258,067,677,968,880,314,055,924,904,843,828,638,307,772,997,296,
728,455,779,479,130,619,560,706,159,723,823,953,777,672,750,578,305,910,074,
809,286,597,605,461,701,489,862,709,511,580,983,823,462,337,935,512,825,292,
502,479,897,092,428,155,100,338,837,704,767,938,520,313,126,831,311,692,226,
126,790,227,048,425,572,543,053,121,310,435,426,175,430,842,860,302,930,453,
720,647,384,882,740,090,915,323,285,074,021,910,001,379,770,392,344,949,931,
838,557,797,653,056,289,792,202,768,310,391,872,597,691,093,107,399,685,786,
836,162,328,306,692,559,465,892,188,554,488,356,185,482,170,950,305,856,055,
822,684,245,171,447,870,418,656,120,087,906,883,171,945,203,941,836,376,096,
402,764,617,779,756,850,993,708,724,184,089,452,515,079,803,127,919,998,258,
755,707,179,122,699,969,687,006,457,417,616,429,124,219,235,003,987,647,871,
475,178,885,517,980,161,086,682,094,262,010,388,038,554,111,501,787,540,503,
605,829,394,530,367,621,461,493,313,412,476,440,767,675,497,276,965,926,282,
979,138,971,066,758,242,002,417,799,048,259,980,836,473,853,995,837,459,497,
946,464,711,086,783,128,434,741,703,626,300,405,819,870,206,250,029,747,929,
212,032,084,694,623,514,044,303,953,757,387,153,119,299,374,794,096,126,381,
285,141,603,855,430,251,080,200,411,275,113,578,514,516,862,581,193,705,900,
891,853,689,415,687,534,012,384,370,318,306,999,388,210,139,201,375,312,579,
283,829,727,040,474,823,442,358,368,749,710,061,122,582,719,793,893,320,523,
320,498,626,358,341,094,504,486,267,807,368,170,552,003,052,499,653,613,607,
033,935,286,544,316,586,234,546,148,368,170,102,953,576,069,579,106,989,899,
674,028,994,954,520,188,463,101,756,174,941,127,933,751,432,546,586,763,094,
764,662,606,707,078,796,333,060,945,185,641,750,295,741,576,807,997,845,821,
259,371,843,345,410,257,412,679,683,499,339,436,010,993,347,843,570,971,954,
025,186,003,374,169,734,055,386,291,957,413,614,992,265,713,506,200,069,401,
432,566,245,010,231,876,997,334,678,225,634,954,804,580,508,582,919,066,399,
810,453,251,060,931,667,691,759,562,429,824,594,795,623,648,903,694,682,416,
859,578,599,734,685,498,163,634,064,743,037,087,667,560,486,974,856,677,060,
417,860,653,896,762,401,726,148,567,238,477,392,661,230,890,110,938,076,104,
760,570,702,466,911,263,848,595,056,444,965,058,856,232,334,652,640,872,165,
979,837,805,028,243,467,367,709,707,072,370,572,584,776,358,787,709,093,979,
613,025,338,603,012,243,452,084,396,868,535,155,127,927,063,046,215,810,586,
278,492,829,685,044,342,910,202,723,255,312,625,607,695,639,329,804,614,119,
482,773,255,731,527,729,418,464,615,114,963,819,551,084,713,508,495,775,193,
479,767,049,445,543,694,131,150,636,413,705,698,057,132,733,857,808,284,450,
390,374,576,877,518,827,460,757,951,096,697,083,333,351,523,068,650,192,901,
398,049,174,577,025,938,507,913,486,789,275,748,651,253,196,042,487,806,017,
106,902,888,803,810,032,830,471,215,603,149,361,023,916,941,276,682,202,359,
083,100,615,012,487,228,924,005,591,275,904,056,431,550,446,683,742,128,774,
086,596,008,944,745,109,635,687,107,286,933,260,085,003,016,453,774,350,585,
169,187,903,569,232,141,615,419,541,337,770,939,961,698,564,701,294,890,888,
765,915,773,072,340,393,076,002,229,520,010,464,031,588,961,818,093,598,045,
832,880,679,538,425,346,687,404,495,092,916,356,968,821,155,316,857,883,099,
444,568,326,675,291,727,348,739,842,891,647,643,746,279,471,434,125,537,607,
193,308,185,451,850,854,181,410,589,295,752,451,319,062,253,208,063,198,719,
387,399,655,024,339,272,302,255,580,848,175,322,251,277,870,391,656,499,941,
675,358,390,015,776,264,905,071,319,928,176,792,937,403,081,963,199,797,801,
081,106,968,474,321,174,897,391,730,420,065,401,499,572,020,242,111,137,312,
156,807,723,785,467,320,059,374,418,089,678,783,323,131,170,048,411,458,993,
911,531,993,643,984,568,590,668,268,145,976,071,742,076,178,687,235,856,550,
025,934,587,993,770,169,934,152,063,624,601,844,419,220,146,242,763,782,348,
887,613,297,208,899,387,985,523,491,102,090,285,341,518,878,556,097,886,250,
137,790,372,223,725,987,482,062,347,546,167,620,542,666,341,168,161,237,277,
570,006,708,204,990,891,393,733,222,892,614,047,064,167,591,238,497,830,187,
347,294,870,634,849,645,472,341,166,828,047,439,493,981,316,780,729,135,627,
388,029,643,286,746,222,987,375,469,249,471,023,420,411,893,630,591,688,193,
113,527,198,718,036,114,626,293,375,535,183,713,576,440,408,739,211,652,553,
383,894,056,628,729,709,773,339,641,114,899,958,578,403,916,053,201,669,071,
034,660,069,985,162,917,639,462,109,564,452,973,635,039,851,934,738,050,986,
538,239,713,730,970,292,824,896,114,520,453,083,458,108,296,103,495,185,072,
318,441,407,531,785,336,562,918,458,177,336,134,553,837,701,044,875,276,468,
399,712,395,265,028,201,651,914,157,554,708,880,630,115,796,049,548,733,120,
914,856,785,891,977,691,676,517,918,399,527,937,215,642,852,435,388,601,270,
585,226,770,859,153,066,809,007,858,804,254,799,092,667,954,467,073,987,424,
592,141,032,469,677,798,148,440,164,646,395,401,999,545,880,977,471,717,406,
915,395,340,256,315,210,232,424,100,727,714,451,375,807,193,615,278,350,265,
105,411,518,070,278,034,665,477,127,164,189,742,227,390,794,702,417,070,584,
003,274,870,538,982,511,692,827,062,430,276,388,522,312,359,580,193,864,109,
237,970,624,502,236,511,556,554,131,219,461,911,769,697,990,653,159,473,878,
990,592,222,139,156,972,695,832,250,386,993,717,652,100,140,807,637,873,053,
156,347,757,531,326,433,843,548,776,409,915,260,160,935,988,848,377,809,012,
209,723,778,047,662,855,757,053,418,043,481,538,828,303,095,843,834,758,658,
901,819,022,245,941,541,419,707,712,143,941,293,606,014,198,531,223,764,428,
689,339,587,871,411,494,885,593,108,671,572,884,128,527,387,844,938,015,622,
779,002,459,545,635,334,249,262,713,801,949,552,401,040,438,116,372,258,310,
223,705,431,570,359,434,594,962,991,349,544,861,275,221,244,932,361,052,765,
137,226,684,712,498,282,926,648,649,482,271,710,601,489,598,031,898,595,561,
522,296,210,698,479,867,138,664,432,244,617,221,917,809,930,695,514,489,714,
195,466,082,445,974,693,346,888,478,006,174,466,263,176,987,671,411,340,614,
217,082,566,575,924,766,902,067,305,046,302,133,377,659,830,534,836,751,992,
610,132,293,761,709,071,290,151,794,096,445,553,245,569,120,545,209,694,427,
219,176,777,171,354,393,906,180,020,866,719,682,087,087,459,732,439,752,854,
931,913,896,186,902,658,017,597,470,462,561,761,918,459,896,956,193,322,305,
088,639,861,735,614,032,745,915,564,038,787,606,543,725,071,694,470,782,242,
629,894,124,172,536,292,211,120,619,484,693,830,714,075,516,257,716,174,593,
348,167,039,781,950,190,984,908,181,046,017,649,128,073,551,589,140,841,356,
896,658,634,999,951,250,695,230,317,724,157,070,970,675,522,268,663,097,758,
814,096,746,222,007,708,433,352,336,411,826,696,430,086,253,391,914,118,732,
043,748,707,167,030,691,480,979,346,735,274,751,075,100,743,211,878,719,798,
496,458,601,689,168,703,341,344,621,888,612,164,538,165,123,538,239,331,079,
195,405,782,893,274,468,943,126,119,450,700,015,787,108,348,567,608,518,683,
533,496,494,930,503,474,825,509,292,991,768,845,917,416,847,079,908,482,582,
209,757,510,653,213,761,908,174,380,095,860,540,482,854,793,518,115,199,126,
879,559,163,084,401,568,559,722,142,918,007,688,949,844,580,952,573,873,921,
177,387,983,662,981,713,929,473,298,007,806,199,447,474,283,929,561,453,799,
629,031,125,354,516,271,319,522,719,629,095,026,621,661,034,577,461,823,893,
173,064,767,475,851,775,712,672,469,964,183,988,305,730,196,115,064,078,234,
531,356,666,114,919,529,612,932,366,202,070,843,342,343,678,787,510,564,338,
054,759,409,555,991,733,793,930,757,286,185,770,721,860,122,323,764,710,425,
995,354,355,501,419,906,429,422,279,059,102,955,059,666,822,195,468,270,452,
247,209,114,473,150,516,431,775,421,630,226,525,494,761,688,818,301,563,582,
617,999,868,992,335,348,093,196,952,265,756,884,221,797,723,064,284,648,147,
593,736,657,785,942,441,324,912,153,016,433,798,820,033,883,637,398,453,682,
647,173,289,048,003,102,711,850,908,855,681,798,468,066,684,434,415,294,209,
658,664,840,391,652,821,356,351,207,583,699,308,261,802,863,376,422,950,629,
306,159,352,816,344,964,373,413,790,111,569,232,349,087,579,276,126,360,666,
161,051,940,883,371,988,530,226,668,997,372,649,249,905,634,680,977,607,306,
744,731,971,514,206,843,542,957,552,262,703,390,086,224,905,781,038,930,059,
591,608,643,909,145,328,718,056,501,397,487,416,939,496,550,188,350,609,776,
560,119,409,486,673,747,351,832,574,417,375,802,797,849,761,578,406,187,083,
702,583,205,517,216,897,549,046,708,111,947,992,279,768,714,205,067,028,949,
462,258,050,623,688,593,807,052,526,594,958,621,301,923,426,842,698,916,160,
572,995,275,726,190,384,470,386,369,489,012,843,143,006,787,188,547,650,119,
253,343,386,251,065,903,295,732,529,709,876,291,355,086,111,877,927,402,131,
350,352,665,543,166,734,231,524,653,800,112,276,323,531,432,412,687,053,169,
550,269,000,120,257,674,749,604,944,585,279,649,705,498,697,921,394,559,788,
629,014,715,889,033,864,785,465,374,520,718,785,204,863,858,198,095,321,616,
809,884,418,350,095,028,158,969,391,356,215,874,222,612,912,489,273,361,350,
485,364,724,996,702,770,249,001,202,020,363,016,583,554,537,081,155,995,060,
238,930,220,992,149,164,527,569,995,696,046,205,181,596,091,294,296,091,868,
600,030,505,188,867,602,613,228,226,810,916,510,130,501,870,838,526,514,958,
657,635,064,089,295,444,466,590,916,042,659,490,737,538,536,609,511,278,221,
282,496,335,358,832,630,493,745,952,437,552,734,166,652,944,780,527,934,324,
562,207,834,950,008,896,778,143,095,010,656,302,366,584,293,365,985,524,596,
782,861,626,962,788,159,101,171,832,275,273,459,910,482,191,132,152,522,231,
611,900,537,561,042,976,429,245,281,262,625,345,573,328,306,284,655,551,496,
634,191,628,980,983,044,640,431,062,070,052,845,055,473,123,147,069,638,048,
036,858,581,743,317,368,340,062,808,493,826,795,293,325,836,118,302,249,388,
479,668,668,352,957,869,767,513,966,421,971,167,014,572,426,957,509,773,640,
359,865,005,408,934,532,526,294,428,164,353,170,918,913,045,563,020,543,275,
828,885,766,772,469,421,275,581,735,176,214,239,506,037,202,534,392,537,108,
598,226,744,257,104,719,678,845,385,348,626,652,976,590,302,558,644,621,297,
001,209,387,650,151,005,145,844,975,499,211,871,216,053,960,912,197,710,447,
499,950,852,667,560,550,681,909,897,375,406,045,080,087,235,827,478,418,023,
450,270,917,396,693,058,892,613,460,519,042,040,227,876,263,536,457,268,000,
928,360,589,059,897,296,856,801,153,419,817,859,590,241,332,464,103,960,656,
725,006,029,860,435,965,936,105,502,415,798,031,198,693,205,111,513,873,078,
936,784,063,690,110,329,258,752,392,665,408,493,203,583,903,332,049,330,479,
048,184,392,789,665,847,868,050,964,937,339,620,194,115,775,044,183,594,732,
079,443,042,981,329,125,468,096,145,096,346,853,071,052,269,904,869,062,785,
668,642,786,129,742,767,292,874,857,904,676,029,589,754,006,099,343,544,947,
827,597,216,338,532,496,756,816,842,383,874,670,305,773,700,087,998,586,195,
050,551,225,329,971,598,476,150,662,032,913,572,300,060,703,730,126,717,697,
067,355,863,123,945,518,774,071,132,938,651,853,511,544,906,214,431,348,706,
712,732,722,025,255,413,873,877,737,007,379,785,478,220,473,754,103,893,903,
150,461,013,901,849,071,086,507,582,729,549,162,590,902,450,003,357,740,083,
889,343,449,677,665,138,559,759,067,143,470,863,586,794,014,257,724,136,966,
167,324,753,717,277,238,501,079,196,308,628,540,218,455,778,758,367,389,385,
864,603,680,775,786,103,132,241,427,942,911,592,587,610,323,189,334,066,931,
383,095,772,207,931,816,856,758,444,534,106,265,839,866,456,537,590,685,410,
467,176,956,342,006,305,063,205,860,824,932,539,813,590,266,794,544,295,258,
124,025,982,779,419,752,955,722,629,074,147,113,744,766,588,028,966,801,066,
314,832,497,978,705,596,115,196,998,305,863,229,844,425,995,523,168,213,294,
448,967,569,640,951,595,804,341,327,724,005,038,725,149,813,014,959,907,301,
500,675,865,357,006,450,530,769,608,162,364,160,897,915,174,640,533,530,117,
471,638,996,658,167,458,665,583,761,584,613,246,415,917,409,804,001,759,084,
081,965,134,290,622,938,437,857,722,776,853,998,639,933,687,296,662,211,593,
004,413,038,469,194,866,292,591,239,508,725,543,510,037,539,797,863,463,754,
503,385,828,374,422,011,880,870,956,736,976,719,453,043,092,736,449,674,502,
489,310,385,205,352,349,294,372,007,891,523,572,572,071,125,241,860,498,767,
099,030,204,781,248,362,742,049,982,786,842,771,783,271,712,493,794,742,421,
908,315,303,532,172,982,544,496,998,239,967,526,000,751,318,846,744,584,593,
050,766,847,998,068,014,047,122,665,842,016,694,840,132,519,197,442,646,853,
947,633,127,553,711,961,459,943,246,339,745,501,696,037,026,360,509,891,455,
492,682,569,769,763,502,596,632,778,192,858,957,433,952,352,638,542,610,463,
460,524,012,578,519,162,188,166,560,305,029,432,211,601,252,890,414,034,781,
115,223,900,242,661,084,936,966,622,109,961,307,872,033,298,545,122,341,969,
940,873,262,437,308,580,543,946,633,576,837,667,999,500,224,788,980,440,316,
737,013,712,444,396,487,765,523,937,726,236,346,557,271,916,643,393,822,661,
939,406,241,075,935,391,786,963,506,634,179,965,993,126,104,230,606,906,684,
293,777,748,425,837,840,463,182,425,661,456,979,382,153,330,533,092,373,096,
522,526,944,532,777,904,957,536,728,166,417,753,909,518,094,142,267,291,439,
219,297,942,935,646,901,924,140,306,903,960,678,264,984,513,978,478,579,695,
756,968,246,531,847,837,254,864,857,416,178,039,554,419,955,613,046,232,558,
170,460,012,117,302,856,408,172,176,576,657,256,274,131,571,031,564,895,803,
089,313,811,687,155,125,194,288,568,283,135,047,830,699,001,199,330,135,365,
983,269,785,465,417,770,773,797,530,746,209,359,324,321,861,598,583,598,999,
977,318,465,488,941,718,071,968,177,184,815,937,215,135,264,170,563,679,490,
365,503,514,253,672,888,239,390,263,780,049,577,340,580,471,753,031,559,522,
862,364,369,244,290,444,925,781,919,173,356,586,546,979,856,352,420,607,286,
501,484,394,685,865,929,912,790,278,506,830,904,694,191,501,475,920,809,568,
649,082,152,343,958,475,317,188,456,851,010,833,585,134,702,872,007,973,970,
675,565,507,633,547,240,021,974,245,286,819,843,018,133,917,088,114,405,139,
454,748,593,309,991,921,520,180,225,834,756,438,758,890,094,189,392,779,486,
431,149,412,657,750,659,892,819,214,326,604,868,730,069,520,863,333,084,959,
129,407,217,613,417,059,403,406,135,050,050,752,255,367,996,844,469,580,212,
947,352,787,891,267,536,748,071,316,054,803,763,692,925,738,003,187,831,170,
628,648,407,211,449,384,940,756,313,681,669,738,049,933,346,223,041,323,867,
977,441,113,232,325,639,633,223,378,731,625,407,212,454,116,095,781,769,190,
593,535,437,327,749,371,751,937,891,047,137,134,282,646,912,075,797,445,586,
349,505,655,712,809,407,218,522,509,925,971,883,417,265,978,482,927,864,548,
657,157,143,287,466,713,969,855,648,229,584,884,853,415,897,203,678,371,796,
098,861,853,968,284,832,225,865,004,598,351,030,308,954,057,659,356,422,801,
155,464,576,960,769,598,704,119,657,971,285,972,513,061,387,555,268,023,889,
332,033,954,488,980,422,939,884,046,815,922,651,456,983,219,900,850,647,000,
529,910,985,709,602,209,142,806,894,147,573,585,473,870,167,203,257,987,962,
893,070,343,667,349,167,797,937,330,194,349,185,608,974,538,218,321,018,159,
118,532,019,818,119,678,140,582,526,607,212,276,916,431,559,416,032,001,169,
562,875,152,492,280,415,311,037,074,293,824,707,889,430,806,044,968,608,925,
057,892,795,312,313,519,257,063,174,649,659,188,262,669,642,177,946,011,970,
626,479,135,409,911,269,188,167,859,687,661,389,983,446,856,046,670,591,880,
705,146,756,659,275,134,808,130,451,373,556,462,710,252,109,384,684,989,492,
036,209,239,894,686,996,971,147,679,806,457,262,526,153,436,073,724,004,100,
883,919,538,772,011,921,641,265,021,020,402,125,233,475,403,824,811,427,143,
991,310,994,489,797,512,777,944,724,425,283,049,111,677,312,037,911,297,071,
693,915,748,188,716,128,699,867,084,163,700,646,193,861,229,995,407,446,694,
252,046,654,642,134,634,143,263,874,780,490,470,198,016,183,090,467,358,700,
621,940,206,421,640,931,791,155,769,591,741,987,119,354,039,911,276,995,362,
573,736,781,844,400,157,203,850,000,073,427,674,569,090,913,879,966,596,556,
447,557,708,831,339,150,109,830,526,331,531,779,473,309,629,129,819,892,243,
382,123,346,809,841,586,504,748,671,960,778,057,962,231,679,873,909,425,923,
187,838,494,440,676,216,539,306,570,876,273,983,180,037,912,820,121,054,669,
602,703,753,287,220,232,481,875,404,108,942,033,651,384,032,534,967,894,344,
184,545,726,954,391,121,222,892,166,807,738,385,536,331,206,738,996,592,381,
719,510,995,708,869,976,902,965,952,120,737,135,619,969,222,521,295,487,199,
924,012,028,114,795,101,706,590,490,400,260,517,584,742,840,635,006,293,552,
633,789,088,669,485,607,520,543,262,994,097,262,857,274,269,416,064,018,945,
807,636,468,221,214,667,797,833,364,668,847,430,984,342,743,095,446,305,487,
671,313,374,404,255,733,689,706,663,329,399,237,168,196,195,313,891,414,008,
971,835,989,909,567,411,776,946,398,262,680,450,757,071,639,482,297,995,095,
316,716,169,572,708,784,333,732,086,763,143,781,851,115,345,262,361,594,975,
654,741,435,698,069,511,367,880,187,934,939,584,873,416,123,862,350,137,106,
631,184,984,007,059,795,104,509,995,611,820,877,466,054,135,352,750,007,585,
385,655,936,272,522,169,333,248,471,696,496,991,112,622,013,542,409,451,679,
642,019,826,591,102,768,524,932,682,722,310,011,227,408,771,972,843,608,679,
713,950,395,539,943,958,962,865,627,308,980,430,813,245,108,561,613,702,677,
880,481,881,697,455,906,659,405,168,159,454,066,776,588,713,939,728,724,674,
675,302,493,053,171,108,738,936,904,275,050,136,312,467,067,497,617,367,798,
936,401,746,621,848,923,999,575,079,636,648,906,951,938,659,238,159,111,849,
579,928,513,098,941,429,825,051,363,178,196,465,538,545,138,645,855,515,197,
580,177,034,852,081,596,783,389,495,990,208,847,604,975,557,946,321,678,041,
264,115,955,022,980,625,463,802,738,507,448,905,609,484,614,594,402,695,031,
488,048,265,418,552,611,647,852,884,757,922,312,395,372,959,512,443,582,233,
223,079,713,810,267,795,774,932,157,190,915,019,006,625,892,173,082,677,255,
605,908,930,311,213,209,977,653,623,364,387,486,986,975,170,294,190,143,958,
073,080,531,399,685,873,087,534,734,968,941,977,784,341,356,656,960,196,843,
875,301,395,761,672,278,366,792,819,450,086,787,241,338,512,000,258,318,860,
129,971,778,449,814,720,784,000,017,075,679,723,425,095,795,556,344,274,214,
838,603,910,738,764,441,890,892,962,779,283,883,802,130,260,198,525,755,747,
415,285,712,435,865,103,743,873,129,799,680,064,831,690,348,236,935,960,184,
238,996,349,097,896,045,627,536,256,585,787,250,704,307,165,224,004,821,802,
476,323,592,279,229,051,595,690,480,486,562,969,002,724,540,631,676,118,892,
471,031,885,600,841,250,300,202,928,491,067,265,959,324,924,240,939,818,845,
364,392,427,710,614,413,766,703,875,483,642,331,613,733,272,373,661,269,771,
142,371,760,831,049,469,808,211,073,813,022,283,647,791,211,278,402,869,111,
498,985,101,358,454,969,545,587,910,891,312,896,420,114,991,515,253,662,999,
530,080,199,706,483,084,530,894,037,159,415,098,373,427,355,461,519,584,445,
459,881,204,365,050,937,059,879,765,397,995,367,504,309,612,498,493,935,755,
986,914,057,005,544,579,988,572,925,421,793,362,321,765,138,602,020,996,215,
355,186,553,418,713,103,775,582,347,494,063,287,435,802,734,022,907,771,475,
903,254,833,014,407,221,368,892,331,827,732,980,235,295,178,775,018,614,628,
530,541,959,865,404,503,812,506,728,368,100,927,132,046,877,131,589,151,198,
522,982,543,962,394,979,988,922,601,123,482,731,946,072,453,067,575,975,963,
473,385,216,328,119,076,991,137,032,359,421,845,081,246,653,770,672,767,591,
052,101,009,389,003,481,196,640,503,298,385,970,277,399,225,424,331,422,283,
483,397,810,819,085,611,537,038,378,713,174,560,908,804,154,415,351,559,679,
738,106,797,152,801,038,087,404,864,433,803,714,069,080,152,646,006,042,506,
320,419,445,626,177,147,665,127,225,514,542,115,456,125,109,804,664,792,278,
703,865,694,211,132,755,702,068,187,550,270,388,052,889,441,408,112,813,333,
364,122,149,675,394,238,671,418,046,863,777,844,038,101,769,188,787,581,888,
117,944,418,079,071,826,743,861,947,531,404,627,879,281,663,787,589,060,855,
854,482,874,182,123,759,323,858,866,573,471,832,656,321,675,121,707,650,750,
488,274,323,929,987,916,862,318,280,655,708,647,394,119,700,728,074,603,082,
876,250,666,694,575,804,553,567,057,345,099,700,579,318,586,966,238,158,239,
094,348,552,804,469,333,791,172,551,024,023,014,802,241,569,786,190,975,926,
447,178,970,999,229,797,521,585,411,303,089,122,216,423,444,682,519,720,564,
927,555,441,550,596,472,974,878,564,460,501,590,254,901,438,333,629,977,621,
253,812,450,477,572,640,837,615,015,507,249,996,864,097,702,212,959,061,406,
700,120,602,325,208,070,617,279,715,658,306,689,096,246,777,369,683,751,773,
557,207,699,591,354,815,563,514,307,135,101,559,151,947,783,716,964,319,438,
325,557,355,401,736,569,348,873,478,434,941,754,400,517,425,876,733,283,286,
608,343,444,240,875,169,293,578,252,475,507,073,570,691,813,606,903,519,395,
373,237,352,023,927,630,772,752,828,747,810,144,216,550,642,963,349,123,312,
997,911,689,425,707,109,757,159,531,836,571,236,680,998,573,950,876,526,258,
492,721,573,192,221,852,331,532,656,251,228,280,992,911,406,836,955,007,588,
974,817,929,070,431,781,231,661,037,085,526,981,256,175,344,456,203,026,054,
937,449,827,583,126,416,286,339,606,903,914,152,645,683,508,499,766,191,514,
946,240,288,461,623,700,561,501,452,313,431,135,969,759,473,078,066,371,632,
457,062,495,496,092,013,938,098,760,038,525,332,967,235,800,669,975,873,433,
567,190,938,486,991,916,943,613,850,550,622,489,655,279,905,883,510,915,113,
743,277,211,638,539,173,432,657,886,247,005,600,606,600,294,061,553,577,858,
783,637,194,162,172,842,479,639,940,499,653,134,581,804,682,815,618,275,637,
248,188,323,358,709,842,447,993,311,396,261,524,144,316,443,212,151,910,987,
171,737,232,532,672,434,446,482,136,193,545,885,522,919,931,071,576,887,045,
938,951,926,807,463,940,896,519,676,838,262,745,520,452,912,723,410,764,611,
264,697,739,835,825,282,002,718,152,349,147,111,597,521,665,602,570,058,012,
206,472,294,698,635,006,421,278,141,787,629,438,199,070,375,553,652,285,110,
178,987,614,007,049,306,024,985,523,797,504,007,447,722,384,586,006,686,842,
675,956,161,876,948,866,211,281,028,207,220,966,227,092,489,023,659,777,687,
379,496,328,365,488,405,730,261,464,724,863,366,011,483,803,068,872,327,683,
908,076,088,015,511,408,426,551,435,090,888,766,185,339,143,859,403,533,998,
066,181,338,340,103,156,709,183,518,417,811,394,123,496,939,573,364,536,406,
170,649,770,081,950,756,253,021,377,121,488,718,910,301,222,517,983,601,974,
864,189,313,040,104,876,348,549,054,626,216,954,548,082,671,166,128,613,085,
197,875,302,342,350,565,704,925,205,959,371,573,646,466,119,211,049,451,980,
239,721,472,035,076,913,967,366,806,319,897,766,831,106,284,572,676,787,777,
038,658,693,103,244,366,781,172,118,008,138,697,659,032,043,526,427,019,471,
011,669,438,078,069,831,791,075,743,014,815,384,901,337,767,781,681,102,096,
440,571,206,636,740,109,219,539,285,898,476,829,749,296,376,150,363,681,897,
880,590,123,224,493,032,429,937,621,454,474,277,419,454,375,450,738,596,056,
610,606,496,768,035,613,543,113,124,330,610,502,332,255,440,189,264,904,228,
132,346,191,641,243,561,094,723,213,705,752,847,351,873,694,094,931,298,467,
454,408,248,191,780,142,123,803,190,915,327,105,133,532,589,033,736,142,944,
341,085,302,628,789,508,996,543,269,703,240,341,356,961,106,959,410,027,250,
460,885,452,217,161,896,128,710,958,235,550,170,211,382,028,639,011,619,843,
824,885,343,371,143,141,785,179,430,721,191,105,540,725,543,716,910,586,634,
875,304,109,877,886,947,096,278,135,921,527,655,693,495,664,705,193,115,914,
502,726,718,852,078,713,051,110,645,343,534,718,599,900,330,080,484,780,501,
652,709,904,047,470,985,499,873,247,725,804,976,993,289,560,119,234,485,341,
286,144,632,373,975,329,317,335,669,353,829,941,342,654,928,398,126,953,911,
604,460,051,631,769,335,317,310,994,128,845,479,476,118,290,643,431,025,915,
154,049,519,627,648,331,735,486,723,061,872,292,661,072,270,445,737,148,921,
346,422,477,568,277,104,031,874,645,949,196,221,947,005,021,700,500,076,905,
365,464,072,449,261,847,653,818,650,971,900,154,591,278,688,808,538,909,532,
964,029,686,086,384,478,724,828,157,293,432,960,207,784,229,680,490,912,378,
302,192,719,207,961,275,867,839,453,901,617,093,314,509,239,911,335,439,299,
734,033,236,515,823,037,442,553,952,402,124,941,723,108,099,816,262,524,014,
249,209,906,416,443,511,248,336,515,156,311,952,750,164,427,196,714,591,274,
295,632,973,649,026,396,593,358,497,844,642,501,455,590,238,477,818,323,866,
434,339,484,482,098,247,743,006,560,352,517,845,083,737,521,897,154,278,083,
783,737,408,860,336,507,666,282,481,541,452,460,290,977,591,175,201,098,322,
760,340,703,784,480,736,318,238,711,774,704,918,595,885,502,865,748,886,574,
097,543,588,567,888,462,581,366,509,110,425,733,411,421,999,687,020,424,892,
363,177,266,022,696,576,098,538,148,101,905,597,152,137,577,985,966,120,523,
647,426,346,064,164,903,212,385,382,406,915,406,522,894,943,179,756,642,115,
175,301,433,758,544,265,918,869,202,151,878,788,332,046,251,695,376,150,279,
026,473,407,513,697,576,093,491,338,062,183,571,725,057,856,226,173,125,619,
773,311,584,167,835,635,084,807,446,888,220,426,635,937,402,891,670,942,290,
737,782,224,352,579,553,223,212,154,772,911,622,063,206,701,477,810,464,205,
862,946,744,202,631,355,726,254,217,419,329,113,601,512,146,162,308,880,369,
598,523,532,741,889,313,622,026,297,492,089,543,781,502,752,154,156,622,102,
222,826,632,141,974,377,241,145,588,250,056,037,896,609,573,360,200,158,896,
287,426,735,789,947,233,866,108,429,693,479,336,110,244,864,125,387,437,739,
132,926,909,744,458,343,131,046,834,536,920,464,699,854,008,594,981,255,167,
909,595,204,247,375,682,002,856,671,535,383,968,352,404,189,437,092,902,041,
652,108,361,112,047,752,374,332,160,358,025,258,158,468,795,072,498,424,542,
622,200,998,687,125,357,643,044,741,162,291,598,145,642,758,730,306,546,502,
364,885,604,574,326,600,572,689,623,834,578,502,298,714,621,006,462,914,935,
463,572,461,462,141,679,239,587,123,079,391,255,689,340,670,965,518,563,551,
980,105,538,268,363,195,077,388,875,015,869,771,104,934,591,223,711,528,170,
398,060,502,900,335,051,330,880,467,308,024,469,572,609,381,474,179,251,008,
127,009,745,973,719,752,542,979,104,196,807,805,055,118,109,164,903,352,966,
133,412,844,277,867,727,131,000,918,659,004,261,785,066,235,816,002,854,116,
973,156,718,307,125,825,260,922,590,220,666,472,838,203,001,866,481,964,717,
913,158,977,073,173,610,548,969,019,183,069,679,678,441,381,532,964,163,300,
454,377,298,463,445,203,187,749,533,230,806,596,160,809,922,480,483,340,473,
847,587,899,901,250,741,729,411,576,688,491,849,418,189,405,177,076,002,975,
418,686,121,181,795,776,448,318,920,853,107,393,798,356,991,435,664,296,150,
471,446,317,202,800,202,888,112,715,515,723,722,270,723,043,909,049,006,241,
288,271,915,236,945,523,154,038,370,020,849,686,188,951,164,775,406,368,200,
052,960,319,792,979,449,414,941,538,635,299,936,341,570,281,741,902,924,023,
371,313,136,927,992,263,611,004,530,217,596,941,723,576,461,100,026,680,194,
001,289,734,824,668,183,848,149,837,836,013,363,422,917,192,824,951,217,368,
536,212,551,906,016,916,872,662,912,488,047,437,860,417,728,255,180,146,661,
853,764,006,072,558,091,141,196,593,900,720,196,443,796,483,655,468,554,946,
538,695,470,800,455,464,851,213,268,390,236,832,834,847,823,721,096,113,622,
332,203,111,253,833,316,987,085,729,828,314,020,386,444,556,136,812,351,979,
128,868,222,457,725,332,897,665,334,675,304,368,412,446,785,611,113,481,486,
436,749,492,282,443,007,573,051,739,190,211,600,060,742,119,310,603,958,853,
936,146,410,585,684,903,650,712,307,928,849,839,808,867,633,401,064,950,773,
332,409,097,525,665,213,757,479,459,510,582,744,716,343,206,327,983,876,198,
585,411,949,415,448,425,285,723,432,426,775,077,562,632,563,255,958,012,824,
795,650,156,624,978,146,258,090,671,664,247,819,333,771,210,450,848,039,138,
099,794,404,118,467,380,759,669,949,856,316,369,912,867,360,075,934,507,361,
422,984,654,533,693,546,064,710,263,531,314,882,740,796,410,353,827,028,860,
163,228,522,141,363,668,274,631,006,677,912,345,992,150,568,938,850,805,157,
579,283,356,155,607,037,891,845,963,361,483,096,070,032,949,996,704,357,818,
613,040,391,863,667,703,743,480,074,013,691,404,104,090,515,502,233,513,555,
812,364,009,851,031,752,106,133,076,192,886,897,213,068,509,629,816,868,420,
539,612,288,853,854,987,379,799,668,057,449,630,481,719,774,860,222,882,449,
908,046,715,271,667,456,694,285,244,279,812,505,265,164,455,179,591,593,593,
667,071,408,371,313,032,484,847,730,998,189,984,320,724,987,191,433,203,364,
585,373,118,009,337,628,685,155,536,756,888,342,712,117,599,560,013,097,741,
461,415,637,266,705,571,407,132,442,482,824,368,510,315,892,386,218,482,073,
177,494,978,426,688,597,985,553,962,575,679,333,609,911,359,772,027,853,164,
891,294,172,892,986,440,541,163,193,819,960,710,702,296,546,002,335,433,021,
659,831,074,175,585,958,582,088,415,260,388,215,433,480,763,174,974,654,805,
789,200,301,748,241,542,191,936,015,828,478,356,431,796,735,862,179,574,342,
804,935,513,954,252,207,524,097,429,789,720,771,946,556,557,737,298,441,221,
357,560,261,206,940,337,534,763,624,332,287,439,829,560,562,451,982,242,758,
363,383,640,914,246,707,408,670,862,914,009,668,003,970,511,419,211,991,587,
428,890,645,900,758,925,998,121,651,857,237,109,394,751,937,496,733,044,034,
003,077,223,165,422,735,963,043,752,157,224,837,078,605,696,546,979,350,499,
771,060,215,559,211,820,211,884,208,676,942,974,874,708,992,297,445,545,805,
590,136,637,850,493,373,508,945,703,686,750,441,198,743,492,751,544,009,992,
565,181,176,050,151,912,119,755,053,565,970,155,595,919,624,542,587,013,144,
238,906,814,605,365,183,907,111,717,130,099,665,525,017,190,981,603,279,836,
270,195,979,899,210,081,872,837,974,688,982,840,615,363,094,350,708,243,090,
954,314,267,488,389,017,934,730,319,291,005,619,901,988,723,124,969,750,372,
367,345,543,209,187,280,818,033,478,320,305,561,677,551,813,202,776,753,469,
145,425,670,236,392,396,967,379,718,717,020,826,739,444,670,962,735,014,387,
918,773,144,853,925,025,127,203,113,615,177,533,991,349,715,835,285,060,295,
027,572,927,294,627,187,587,667,407,243,825,910,564,869,180,642,231,875,853,
437,702,439,136,645,412,552,456,196,589,975,752,449,915,316,397,639,656,231,
106,393,560,609,821,372,108,742,497,674,679,146,938,724,709,119,857,558,560,
230,391,266,053,508,382,245,249,100,724,027,202,062,879,201,011,624,407,174,
639,636,302,812,188,062,332,733,688,909,107,921,640,697,159,967,294,438,364,
292,392,102,459,192,353,816,705,572,041,155,401,973,553,594,551,516,818,028,
883,483,219,696,734,650,944,937,249,080,822,555,062,381,034,386,014,151,109,
931,952,177,114,257,907,231,775,611,488,274,696,777,866,540,927,926,048,676,
081,809,895,759,045,154,819,273,858,543,077,547,945,482,302,789,287,713,908,
504,345,080,893,833,335,223,091,262,588,124,931,180,065,198,604,360,692,440,
878,511,273,227,016,739,780,020,391,684,321,708,674,834,915,718,472,043,447,
728,744,655,903,490,874,124,871,884,780,260,541,210,643,188,756,049,308,346,
754,537,420,558,169,251,471,820,615,140,783,785,874,312,822,625,338,200,036,
161,611,843,185,011,124,801,248,832,531,025,079,664,089,721,633,694,205,236,
364,881,992,357,395,788,899,014,296,738,591,543,948,590,395,365,892,347,996,
770,679,564,498,890,544,189,907,479,635,963,707,605,865,861,931,132,961,595,
907,022,285,285,222,002,620,166,257,859,872,071,560,266,784,405,660,044,127,
939,560,993,842,144,252,281,685,624,419,314,535,612,253,563,245,760,263,832,
322,765,462,140,750,835,829,824,905,279,361,046,590,684,299,538,355,623,225,
359,304,856,229,985,303,110,227,376,455,859,324,896,829,696,897,024,963,201,
182,657,106,069,390,718,661,067,314,005,286,779,526,579,114,782,228,176,297,
073,117,568,792,908,758,639,060,442,222,305,569,778,667,647,936,511,775,680,
149,374,032,975,172,794,508,826,267,569,356,468,250,981,400,057,112,628,637,
172,436,404,659,442,473,247,077,252,120,820,206,114,200,488,999,591,968,108,
822,668,274,563,318,173,110,676,195,836,668,754,791,126,625,492,367,634,921,
962,924,054,982,516,866,959,069,055,136,163,015,079,869,801,619,307,678,191,
918,131,000,130,386,357,480,411,638,577,688,882,325,667,974,841,318,907,257,
989,943,750,538,353,554,953,725,128,435,778,155,311,201,580,818,493,308,279,
977,750,476,327,103,388,197,339,234,311,404,350,035,987,368,737,323,980,316,
144,134,513,029,855,506,788,012,492,741,879,027,902,246,748,940,061,711,740,
058,459,190,377,475,883,670,919,396,563,597,084,368,338,112,396,150,363,842,
470,369,226,708,596,214,744,642,869,780,200,264,325,394,556,328,937,887,572,
947,041,470,861,341,926,291,795,318,149,670,053,504,820,649,598,158,739,142,
949,179,765,142,920,728,817,991,645,186,974,045,891,647,710,039,853,575,926,
025,909,886,418,083,670,075,141,350,802,524,616,370,583,595,667,689,237,158,
319,055,336,865,331,443,702,181,379,800,685,078,213,544,081,630,997,317,996,
309,352,497,039,141,735,050,968,501,313,086,027,315,040,076,004,894,961,013,
366,282,411,397,153,694,743,718,492,225,610,304,561,666,481,265,094,200,725,
809,030,412,347,293,727,354,716,738,147,616,128,417,316,519,543,370,688,961,
761,812,801,469,500,092,940,169,002,081,189,486,803,319,693,165,101,849,162,
156,238,349,318,047,029,812,942,900,025,737,737,835,634,163,280,551,445,402,
082,519,443,761,977,566,650,367,282,195,593,955,273,092,086,646,405,792,449,
016,537,981,709,995,947,888,926,111,360,443,951,607,359,489,272,531,785,334,
109,993,971,521,031,037,250,416,627,168,577,417,474,801,583,675,512,747,833,
715,161,812,741,187,415,079,945,229,594,108,798,645,298,288,648,466,741,696,
129,348,670,019,399,493,712,611,171,859,127,224,890,346,643,078,956,934,901,
678,811,917,266,644,585,277,768,938,626,026,030,434,562,760,310,120,374,888,
016,049,975,462,282,120,989,429,436,285,488,152,147,304,225,889,737,160,886,
945,423,494,892,143,845,955,871,502,582,587,316,004,152,279,927,956,382,285,
926,059,125,741,380,656,055,122,157,868,223,268,582,477,626,794,038,241,717,
483,545,505,208,251,800,650,637,793,174,858,434,266,118,462,924,922,885,975,
671,607,246,805,103,170,420,006,674,733,087,233,560,104,430,810,461,267,090,
506,229,430,467,271,213,640,675,746,324,426,457,987,392,107,280,332,494,292,
332,924,627,988,070,558,067,026,765,116,723,077,657,205,442,221,755,264,219,
567,868,740,540,845,947,393,845,212,236,712,495,145,872,059,369,138,716,230,
333,080,588,352,909,479,974,773,776,953,474,816,962,810,798,160,424,780,402,
806,930,041,337,998,015,332,660,559,431,032,562,702,760,085,129,270,734,770,
814,171,467,093,106,109,543,223,325,167,745,765,481,206,321,314,618,779,202,
455,334,166,908,782,958,997,728,140,132,218,675,781,937,009,675,612,553,493,
441,973,733,010,556,294,105,369,965,543,777,566,378,300,057,831,728,454,729,
609,296,757,227,897,951,314,140,625,148,678,029,717,026,161,621,586,921,390,
737,683,221,354,383,538,091,255,163,825,886,837,933,225,194,317,917,754,222,
954,506,249,647,842,431,555,886,901,275,477,819,780,685,332,138,426,788,465,
215,855,367,722,441,692,822,048,057,822,235,329,342,442,006,614,611,420,407,
353,848,985,074,641,103,747,137,744,638,188,276,668,866,533,618,010,061,708,
398,038,075,486,914,952,953,454,267,373,135,337,041,474,027,488,967,790,580,
726,182,667,093,335,359,844,128,785,731,820,815,620,351,653,154,159,180,045,
864,331,214,071,501,092,813,836,516,004,841,013,466,834,479,826,069,985,656,
593,495,783,684,083,130,872,811,830,477,454,044,503,445,395,305,964,409,261,
912,101,416,040,401,510,727,320,266,558,753,279,182,283,683,542,741,078,278,
824,425,512,393,757,777,956,941,783,578,975,337,680,708,662,643,716,504,481,
416,348,306,660,197,682,846,148,450,266,131,506,546,219,415,912,065,467,881,
174,655,605,747,684,751,523,555,647,377,610,536,336,488,041,222,847,783,651,
956,521,578,388,143,379,301,681,041,544,813,681,793,029,998,429,631,171,583,
979,367,621,293,216,648,089,612,333,703,543,949,542,690,523,630,152,908,354,
432,281,296,960,540,826,075,316,925,285,078,074,054,989,524,532,697,134,148,
772,685,510,266,833,625,764,469,070,308,093,520,748,658,195,860,769,138,215,
029,378,503,353,937,536,187,233,927,319,649,687,408,246,595,235,976,431,188,
116,487,493,234,013,255,862,835,762,809,551,469,095,449,238,693,101,709,120,
686,997,543,782,393,169,898,342,169,697,379,322,886,861,970,849,413,885,259,
304,815,452,640,125,051,616,677,247,472,321,191,013,349,296,026,721,444,835,
313,955,258,224,913,944,323,803,482,252,551,784,487,330,551,819,541,024,564,
238,065,560,041,310,962,110,381,035,479,813,140,791,043,776,152,848,248,744,
936,745,924,439,436,261,215,301,847,303,971,284,127,579,372,344,981,297,032,
538,618,026,456,038,975,863,880,717,059,888,005,672,321,033,142,301,271,913,
776,837,897,154,355,782,342,241,204,995,562,145,224,067,984,027,597,726,919,
530,982,050,610,495,478,561,403,424,869,529,575,797,352,272,102,132,247,765,
968,776,376,475,124,297,046,204,425,035,499,503,771,119,342,474,882,257,500,
666,885,322,185,520,781,775,062,026,914,254,561,208,028,344,283,089,530,533,
997,206,493,250,180,356,343,778,876,097,487,906,731,326,339,887,068,581,287,
245,974,480,343,679,394,571,500,373,798,463,414,559,267,658,064,338,948,848,
754,426,473,274,434,105,298,614,080,021,947,649,890,594,207,065,813,753,790,
657,209,804,761,813,110,611,852,645,027,786,308,799,970,538,741,021,215,883,
397,773,894,297,587,347,564,853,277,442,168,003,732,948,922,879,817,257,373,
518,703,856,971,564,269,779,417,947,269,173,262,432,631,816,538,876,436,654,
812,701,711,716,688,677,203,189,281,457,618,354,293,379,441,416,256,332,052,
868,442,879,948,909,371,300,022,524,648,571,293,524,003,321,768,251,159,039,
470,632,802,544,731,623,410,577,342,760,708,291,851,689,944,192,818,570,341,
271,479,023,167,062,597,726,460,513,417,414,067,644,535,631,537,203,978,570,
398,019,540,752,609,528,045,239,336,366,761,765,388,038,631,399,931,993,546,
480,604,336,729,014,737,749,467,367,057,027,243,665,776,059,277,912,487,627,
908,453,160,528,676,891,895,172,781,166,612,141,199,956,004,757,047,847,739,
603,452,294,118,679,525,598,854,540,516,013,255,894,208,577,017,168,781,738,
364,876,350,083,735,057,286,543,868,169,533,253,109,943,721,688,722,854,935,
454,025,324,337,039,468,918,255,632,787,639,850,441,868,288,995,089,841,090,
532,512,458,797,631,914,203,786,812,832,078,625,861,748,051,433,712,857,285,
385,598,751,259,998,070,208,227,299,848,097,468,717,738,957,753,994,133,475,
394,097,975,507,257,412,077,129,237,830,957,449,949,081,367,480,030,814,554,
267,649,703,444,472,353,768,674,476,128,932,574,379,216,956,940,989,284,818,
287,701,752,602,011,686,152,869,205,453,032,678,634,858,588,737,781,406,435,
356,788,967,578,178,712,335,994,999,870,438,070,331,565,050,818,888,412,487,
210,253,387,966,142,068,156,991,923,404,655,034,995,949,383,683,637,783,252,
727,192,598,649,905,304,982,049,556,933,938,185,469,215,367,109,205,675,635,
928,541,530,397,024,198,233,556,164,234,642,654,678,864,539,553,797,352,780,
552,048,700,430,137,139,207,113,179,631,007,432,032,969,321,663,206,030,230,
909,372,971,477,885,700,357,110,531,210,853,216,597,248,918,833,967,151,183,
168,013,861,055,680,698,958,120,474,374,989,395,193,605,004,213,562,040,926,
271,993,806,750,635,382,535,939,039,635,290,793,857,632,983,948,848,500,452,
304,192,555,842,295,513,241,163,722,799,843,932,384,044,322,788,129,277,854,
583,889,819,554,758,279,026,634,196,022,905,165,118,620,900,395,267,717,004,
443,937,273,437,383,618,778,313,794,504,469,031,962,044,410,905,491,060,379,
976,553,520,608,433,061,016,109,505,552,054,388,694,927,564,145,326,176,607,
531,943,163,470,206,447,125,608,976,453,623,397,874,439,235,262,625,613,931,
323,377,580,416,783,656,880,219,696,288,667,456,193,359,104,180,361,972,569,
319,143,314,771,523,489,806,576,580,138,648,569,328,998,496,499,572,392,764,
322,676,212,159,671,644,308,898,491,362,933,248,896,273,558,907,516,349,012,
776,070,439,840,903,370,342,111,929,395,066,640,141,130,747,039,371,226,059,
635,857,520,972,347,661,686,146,298,225,592,458,641,035,479,212,547,897,474,
291,768,736,197,957,966,694,289,405,044,283,390,516,965,405,264,534,085,000,
190,223,106,154,405,367,125,276,292,975,952,773,999,229,740,057,602,740,064,
026,328,573,781,145,433,003,694,678,462,760,479,122,781,149,134,262,192,371,
187,001,726,286,030,295,844,790,346,430,845,330,446,369,173,402,335,502,102,
643,274,700,684,081,459,818,830,290,294,595,293,464,028,148,787,533,132,932,
308,857,241,784,683,676,185,488,655,725,393,119,185,761,007,038,005,623,601,
742,812,712,535,626,260,819,582,021,605,960,289,141,982,782,703,383,228,943,
918,112,337,665,407,156,175,329,173,214,269,250,594,513,381,231,843,383,631,
407,010,604,157,627,930,286,027,696,986,366,549,367,713,112,719,760,882,743,
896,304,706,517,044,345,546,420,574,341,400,734,756,849,882,601,127,813,382,
165,029,534,132,126,119,237,408,905,855,059,578,066,593,394,647,095,282,492,
792,477,652,641,733,629,620,208,062,059,491,183,301,994,445,581,305,238,189,
664,769,214,035,092,222,996,421,915,558,801,523,412,733,913,293,346,918,814,
520,150,580,845,479,823,048,864,180,875,701,620,240,573,539,261,402,849,414,
104,427,386,448,903,996,917,121,280,432,058,195,167,823,708,359,050,910,581,
149,233,529,412,322,935,617,896,759,947,938,950,114,853,874,173,246,449,250,
133,825,302,919,061,644,437,184,968,392,656,982,676,932,331,825,043,648,348,
677,685,180,443,518,204,007,949,138,814,194,596,946,501,508,330,791,094,497,
201,143,566,475,760,077,345,537,319,405,274,714,986,391,200,388,909,776,783,
740,339,838,550,630,817,499,729,567,701,618,274,308,209,019,163,381,164,702,
397,402,181,260,653,094,909,951,674,302,217,666,286,198,456,377,241,520,553,
473,668,678,422,771,231,838,185,275,601,276,822,266,395,400,509,464,391,097,
956,534,385,533,584,297,543,618,123,074,863,832,243,250,794,432,210,196,424,
569,623,566,915,669,073,541,551,285,656,547,861,137,840,161,818,868,858,624,
472,114,119,926,902,844,289,059,642,928,871,910,847,189,212,367,041,017,085,
086,847,527,115,200,929,601,697,552,545,156,124,203,438,144,897,116,515,889,
048,540,726,469,738,063,305,288,545,695,596,391,641,465,340,715,947,150,933,
207,576,285,158,079,492,297,581,514,404,981,081,270,630,243,351,999,782,353,
759,568,651,605,714,640,175,659,290,560,449,919,896,581,635,695,283,084,174,
098,753,733,067,398,106,503,456,497,290,388,800,625,169,187,585,262,095,296,
028,163,010,195,443,167,395,651,872,519,986,656,401,529,529,615,643,846,119,
489,376,473,659,773,126,082,927,170,768,020,878,468,693,573,529,762,619,679,
951,449,475,003,175,917,509,830,196,386,307,423,422,342,964,172,507,732,331,
546,443,277,526,450,488,530,000,327,841,238,959,268,664,957,220,275,774,653,
329,284,326,654,620,714,093,234,054,837,929,793,298,795,568,464,021,724,813,
642,009,164,801,868,166,313,225,745,771,576,936,466,199,909,564,901,341,167,
873,677,920,133,401,095,259,385,786,226,677,676,171,753,731,065,822,009,475,
745,622,088,299,245,422,817,425,343,307,291,493,737,092,177,376,471,193,782,
323,513,107,904,675,196,776,320,085,918,000,618,202,454,125,116,755,889,264,
684,243,352,220,948,692,837,139,433,328,021,836,132,221,122,416,048,865,423,
367,553,620,576,419,528,116,355,635,951,227,511,977,002,978,475,195,428,451,
654,999,759,693,381,622,019,733,567,609,578,488,887,222,244,565,730,309,232,
068,804,762,390,744,871,222,039,233,733,020,966,966,091,679,147,233,300,999,
072,662,545,090,352,048,481,741,385,043,407,100,011,941,708,404,513,801,142,
689,817,489,953,229,432,162,576,695,952,386,915,815,123,108,883,311,100,205,
382,622,732,128,808,234,742,267,116,273,112,859,831,645,160,227,133,806,040,
485,929,080,325,134,579,906,990,489,874,945,499,148,262,337,671,889,477,692,
416,067,808,726,948,648,992,480,508,854,489,057,549,134,071,602,631,664,961,
902,585,966,337,791,455,182,797,718,626,921,033,493,030,884,720,177,740,650,
613,829,489,213,356,425,682,685,232,247,169,544,457,902,264,393,743,675,236,
843,437,548,739,010,683,014,531,735,761,072,327,141,090,445,816,745,354,740,
248,149,596,327,663,391,751,710,156,927,703,632,718,862,271,891,777,048,490,
341,982,078,837,328,893,409,183,286,217,837,322,151,571,777,392,183,626,522,
089,874,816,353,871,007,677,943,711,847,191,663,456,855,818,401,669,430,822,
749,900,702,141,570,762,560,854,550,992,568,274,846,586,143,925,278,548,495,
854,150,048,315,897,128,613,542,958,138,754,066,460,428,326,987,516,476,234,
460,394,999,823,114,150,148,846,896,848,159,598,722,623,372,119,487,286,740,
767,154,142,894,849,680,755,645,778,409,745,027,627,318,750,497,522,670,499,
362,186,568,836,945,871,843,814,304,701,117,250,595,336,625,302,454,201,199,
012,904,050,091,211,894,186,915,394,829,351,382,635,466,176,521,632,264,954,
669,052,829,567,002,997,875,806,103,605,718,451,203,191,028,325,942,363,491,
536,031,481,561,185,555,209,505,907,287,374,960,819,006,486,300,675,353,371,
936,994,678,522,907,940,530,080,821,151,640,101,607,551,088,698,676,841,828,
734,636,273,065,689,791,847,508,138,043,795,684,875,314,164,767,064,450,412,
526,783,152,237,415,165,448,281,863,476,294,274,982,175,442,564,540,791,881,
463,376,437,151,330,292,764,541,762,522,506,366,362,339,916,538,518,949,316,
836,309,254,298,644,443,501,285,430,754,749,994,071,198,504,867,720,076,293,
101,674,072,934,092,281,503,393,995,980,484,619,327,839,705,995,417,459,935,
455,102,972,505,436,133,808,326,568,064,609,436,610,494,964,105,470,022,232,
242,007,431,682,153,085,546,755,543,594,408,332,366,294,090,783,561,011,069,
700,803,380,065,020,863,303,010,707,918,120,597,975,052,011,371,107,891,790,
762,716,144,462,343,714,807,494,632,868,671,119,448,942,745,950,513,384,728,
651,517,682,175,778,779,452,299,641,876,487,964,696,818,716,019,918,026,406,
003,791,183,039,055,182,121,962,961,452,484,394,255,542,945,073,199,313,482,
211,190,278,051,409,625,747,921,908,833,242,939,139,396,274,584,541,124,643,
601,740,927,423,565,226,014,762,076,550,007,028,015,228,980,936,685,889,736,
081,285,010,472,190,215,494,380,562,602,368,729,126,309,870,791,405,518,108,
122,131,703,698,808,205,718,085,997,598,833,082,380,072,524,267,085,477,881,
934,493,254,183,667,059,029,497,483,102,585,002,273,574,313,020,864,164,337,
210,837,852,232,692,893,524,327,489,889,839,539,730,672,691,500,933,536,135,
578,137,453,562,623,577,825,958,293,796,111,938,182,598,031,035,964,933,427,
312,366,903,628,627,581,958,974,774,953,360,149,940,232,548,830,020,615,185,
196,296,291,691,625,586,767,314,503,592,309,161,051,349,999,914,902,251,832,
145,980,955,496,151,567,820,372,645,108,920,706,873,046,064,826,879,068,230,
404,814,951,377,080,566,385,143,149,381,284,492,263,206,410,789,103,077,266,
261,851,010,165,359,221,469,924,733,168,150,567,071,701,371,069,440,484,483,
124,679,942,978,187,714,633,777,062,050,400,620,650,440,192,451,135,765,311,
994,302,091,842,408,372,265,084,742,636,091,201,322,924,860,016,900,973,183,
017,455,423,426,310,520,281,190,595,693,122,287,056,621,645,093,400,703,483,
353,097,590,988,693,395,039,855,075,186,388,317,493,727,082,229,966,674,558,
304,993,954,415,973,896,853,912,887,776,517,122,765,466,371,600,537,054,604,
548,171,815,914,730,981,028,313,850,863,611,005,977,168,218,147,987,189,655,
920,747,997,511,607,521,428,750,757,985,362,809,865,119,820,915,051,388,352,
095,163,338,323,602,858,151,619,440,788,864,168,471,189,950,408,870,041,861,
256,367,779,171,665,687,443,957,659,900,477,821,011,848,982,770,737,732,024,
155,367,056,983,801,961,202,646,793,657,102,236,891,516,668,617,225,962,799,
196,717,883,884,184,127,537,877,006,508,504,793,708,093,553,371,365,498,736,
989,595,177,363,834,603,450,580,581,291,448,574,825,617,745,648,859,964,906,
825,544,390,562,305,332,995,747,159,971,545,369,691,177,097,070,125,758,062,
744,849,804,124,339,168,048,170,706,478,643,285,139,764,680,161,463,898,687,
613,978,972,791,162,903,319,268,873,594,317,320,394,081,566,680,690,508,770,
265,354,846,713,253,148,756,169,980,807,257,081,350,345,948,172,653,979,099,
954,622,547,127,997,766,008,262,808,153,808,352,636,894,699,296,283,062,656,
062,542,848,028,332,014,100,050,731,857,491,030,031,534,161,410,821,416,740,
483,401,324,242,997,280,527,931,339,703,155,207,473,576,207,427,084,331,875,
555,257,046,125,482,811,967,017,978,829,743,198,759,017,542,031,148,757,120,
751,491,192,243,075,127,132,217,063,177,392,434,683,443,470,575,569,454,100,
366,098,773,673,890,461,042,701,976,824,418,135,488,486,827,876,821,610,125,
908,523,942,236,888,617,797,916,673,932,516,037,896,270,220,986,395,843,364,
340,896,898,619,178,177,239,654,685,141,594,027,730,262,809,275,904,378,362,
521,001,866,194,968,522,195,657,697,924,130,437,903,600,192,469,747,941,584,
679,886,844,068,285,055,225,999,328,230,360,299,908,458,110,179,923,240,444,
382,274,675,370,094,282,063,507,818,158,284,487,660,436,109,302,002,185,935,
101,146,147,447,126,289,450,437,176,681,122,859,059,801,770,646,544,874,013,
623,619,291,320,501,684,263,439,525,312,989,111,356,920,024,538,106,693,544,
358,375,931,597,413,141,839,077,385,064,010,393,084,150,360,753,305,410,821,
975,180,342,948,883,624,826,498,494,242,315,165,321,003,828,977,678,278,923,
473,754,193,025,894,848,990,603,057,177,147,511,764,060,431,004,399,501,530,
311,611,813,583,871,626,277,704,431,560,001,594,108,627,828,571,698,647,669,
007,340,259,655,964,803,832,298,363,130,470,232,004,895,976,847,356,251,485,
359,357,049,068,373,950,264,271,891,259,142,068,315,696,577,409,900,559,656,
478,245,760,504,695,931,659,305,452,297,521,196,000,785,643,768,546,945,744,
573,353,159,979,722,738,052,976,037,819,208,579,085,487,558,988,496,337,563,
732,055,431,125,747,284,538,089,177,225,502,152,791,120,664,987,415,550,097,
514,583,203,260,647,520,104,498,889,418,456,480,284,723,440,391,558,886,981,
362,024,152,485,508,037,352,343,121,098,235,421,963,766,759,114,396,620,763,
166,913,723,757,520,487,432,539,562,734,093,379,068,284,486,593,982,239,342,
680,488,664,558,865,103,146,772,825,832,656,583,529,997,176,433,577,365,497,
560,888,413,313,863,623,474,326,679,606,339,748,661,985,503,516,257,657,706,
100,460,893,998,331,357,918,982,711,439,264,114,476,708,791,058,704,458,778,
799,385,415,775,773,182,056,397,275,435,216,059,779,498,272,928,312,516,418,
178,674,911,706,941,076,627,012,703,831,358,661,471,576,028,831,772,487,485,
359,628,803,346,249,850,878,684,219,432,909,247,732,967,783,251,960,774,308,
282,356,345,469,032,732,472,630,102,381,832,591,254,059,481,199,408,480,135,
294,343,951,857,456,907,034,979,455,935,874,212,887,927,707,903,525,704,312,
773,083,666,628,564,609,991,143,606,541,989,720,146,114,544,260,079,799,911,
475,257,211,362,432,639,447,211,680,844,804,965,193,021,075,373,306,656,998,
615,402,120,191,979,364,673,505,075,022,196,399,666,544,079,986,779,829,774,
585,824,453,691,685,926,107,955,160,257,910,813,374,992,179,947,767,643,855,
604,670,921,076,057,093,055,436,062,456,469,575,930,693,319,896,283,184,148,
245,036,790,175,490,124,229,658,543,125,196,947,763,291,035,124,487,922,516,
920,185,917,899,849,914,970,395,995,954,451,210,946,603,819,658,868,432,320,
193,062,204,028,399,992,569,237,163,788,951,579,459,969,634,106,482,744,433,
367,568,394,386,471,051,098,584,632,438,987,893,279,555,328,578,803,429,632,
937,122,488,620,327,062,574,268,471,450,146,514,054,852,342,213,876,494,475,
318,721,745,218,017,767,866,864,668,470,241,540,142,780,006,038,532,615,847,
261,269,679,915,579,230,736,002,252,667,158,101,935,446,652,489,117,980,527,
210,945,685,754,055,380,151,526,266,466,248,437,401,458,573,890,244,507,976,
113,955,809,834,082,618,270,968,091,426,516,366,043,070,352,020,499,572,516,
287,834,538,299,953,749,719,782,221,639,876,892,886,300,301,752,899,896,761,
478,681,970,089,168,875,012,643,409,180,991,350,423,530,376,335,969,245,341,
357,418,973,560,896,187,545,462,599,410,796,288,122,571,847,558,570,135,650,
945,998,363,455,710,173,809,917,815,912,074,825,445,804,632,536,176,623,435,
179,534,848,245,778,824,431,012,831,128,885,499,390,546,732,334,034,453,424,
497,319,526,221,211,662,845,745,437,490,775,396,295,524,843,851,865,796,902,
995,137,573,890,479,693,517,628,772,918,622,991,863,447,798,156,595,411,321,
792,178,003,422,486,153,398,023,423,546,346,777,638,389,853,225,122,293,067,
274,341,209,867,018,208,271,951,774,336,684,236,963,095,558,712,766,249,698,
597,415,153,500,250,624,828,633,905,865,131,892,400,533,840,713,427,515,366,
852,690,615,799,802,406,653,077,695,608,791,338,167,891,768,830,197,942,308,
133,061,847,981,292,063,998,250,019,837,926,653,467,808,881,586,078,616,158,
552,531,213,573,350,880,977,962,056,422,101,434,836,533,892,766,295,234,296,
785,583,417,050,260,115,109,812,533,672,278,085,093,800,445,471,105,837,132,
775,569,978,686,604,073,924,621,473,902,641,457,043,389,672,115,026,822,731,
226,273,492,104,956,706,615,937,657,247,910,493,340,689,742,226,047,699,822,
754,268,703,406,717,938,971,100,448,372,909,212,930,678,309,020,385,835,824,
064,769,132,442,622,082,965,020,193,950,947,842,401,602,814,624,690,386,192,
427,249,116,978,258,644,920,694,818,663,354,177,278,661,002,283,618,389,102,
107,754,502,258,359,426,796,568,249,256,451,601,686,882,011,123,858,789,248,
188,119,688,636,171,768,839,672,732,974,006,063,888,620,069,384,838,058,706,
825,029,813,437,114,839,003,422,968,898,204,690,462,124,047,249,371,481,679,
402,407,717,465,698,601,443,464,537,244,836,566,436,820,410,235,024,905,659,
610,787,224,055,088,797,417,764,129,054,012,250,862,255,493,053,605,753,802,
264,708,793,239,441,405,670,675,171,971,385,849,613,240,508,187,944,521,583,
944,484,109,661,869,987,604,600,002,935,170,157,681,455,913,505,228,518,959,
060,093,905,959,829,605,128,399,541,105,666,341,893,315,996,841,714,588,140,
425,162,311,226,551,601,020,757,376,791,852,916,998,998,746,899,046,446,191,
287,186,132,124,383,533,910,016,085,262,591,884,108,000,962,652,804,771,428,
971,392,182,952,267,337,922,351,826,200,750,127,440,114,739,361,111,472,334,
614,257,348,564,294,556,875,910,617,988,630,358,352,234,353,580,643,803,683,
681,482,227,874,880,139,572,855,174,979,904,673,825,744,762,831,871,863,069,
767,819,695,246,448,626,927,070,968,112,862,657,257,696,560,649,137,611,723,
858,369,458,432,406,780,528,902,073,192,110,767,578,203,230,088,636,306,866,
280,655,365,407,003,795,479,618,480,877,450,437,835,470,852,073,312,191,804,
483,821,072,783,461,913,464,782,833,250,384,615,333,390,346,254,916,081,312,
454,809,631,452,549,953,095,883,197,392,771,757,420,208,611,570,686,305,355,
493,015,897,884,504,620,310,657,456,648,582,031,728,662,158,279,406,531,292,
572,710,885,425,788,305,955,086,119,305,519,465,450,028,948,208,252,773,834,
246,931,246,947,538,564,523,878,997,269,715,447,580,680,411,332,226,315,303,
004,715,776,161,776,454,156,222,905,612,234,671,678,194,541,709,850,042,745,
115,298,569,093,197,546,504,717,103,780,554,309,997,381,846,463,003,008,430,
355,945,713,963,603,622,663,974,838,844,919,890,206,261,356,609,870,081,292,
999,757,701,850,412,386,004,424,610,563,395,986,760,505,691,279,416,380,212,
108,948,273,818,239,595,820,310,051,507,042,919,762,402,762,444,254,767,780,
087,313,919,437,016,388,362,275,935,741,307,367,116,988,424,375,477,811,860,
423,460,837,063,546,562,594,108,011,017,535,819,871,894,460,797,850,550,107,
411,842,240,001,736,333,355,514,004,489,260,903,983,320,336,321,072,586,675,
068,044,690,339,914,752,967,128,408,771,141,450,491,060,512,076,095,046,240,
364,869,868,421,203,431,799,525,635,155,998,430,576,762,022,207,928,051,510,
984,361,614,762,337,396,069,134,238,723,311,320,827,710,120,452,440,311,349,
180,352,059,768,163,315,207,884,654,907,532,927,251,522,817,900,814,755,719,
710,473,061,242,424,120,191,814,827,134,841,311,917,971,055,722,505,150,421,
292,943,244,387,241,094,994,382,223,063,009,961,367,341,185,288,938,049,833,
106,123,159,729,969,308,291,114,529,514,370,966,768,408,676,937,152,897,288,
750,079,779,152,895,485,410,123,824,659,447,663,751,003,263,828,266,522,975,
234,989,400,987,685,412,317,331,914,576,436,063,907,297,232,621,508,822,638,
097,752,552,459,549,013,743,497,988,300,328,108,625,200,231,680,513,641,081,
773,640,625,798,639,574,594,125,103,482,585,065,152,191,182,563,816,015,189,
493,570,148,351,777,891,492,141,171,940,317,342,611,958,235,281,779,397,898,
324,102,164,239,005,779,460,995,588,098,668,711,049,395,248,335,017,373,094,
228,067,489,870,078,941,125,550,599,923,413,771,798,972,882,810,588,370,263,
134,760,171,329,435,096,576,831,965,538,776,052,265,257,000,142,580,813,330,
705,757,172,830,975,350,465,481,300,167,232,537,531,248,073,853,032,112,599,
118,859,626,471,005,945,262,220,579,216,940,733,725,264,526,150,803,220,102,
605,422,831,821,808,149,960,381,583,840,096,201,206,325,243,112,293,922,710,
693,034,633,615,243,585,551,382,607,195,885,801,751,128,899,337,848,822,005,
850,374,668,906,350,072,649,277,488,945,750,535,333,930,127,398,325,242,656,
858,893,429,948,599,135,504,610,571,983,461,449,557,504,103,699,319,953,386,
190,070,976,660,735,602,485,452,843,365,023,132,154,543,231,303,916,099,701,
849,701,977,383,889,474,821,973,278,810,082,597,196,053,713,231,916,154,570,
067,930,713,577,237,919,297,920,655,335,494,343,009,255,890,197,632,622,680,
221,040,764,448,289,491,446,587,125,995,618,705,888,831,659,450,667,974,425,
960,226,621,437,512,322,032,498,605,989,179,974,523,871,622,221,834,394,145,
621,431,171,882,726,687,319,373,765,800,499,740,388,284,719,327,846,375,292,
209,463,694,875,652,170,249,447,775,873,331,582,441,400,350,731,382,834,332,
761,557,205,096,617,721,593,589,878,686,359,953,164,951,655,181,440,481,572,
015,571,997,207,990,872,986,873,400,622,935,546,542,173,179,071,340,343,964,
283,586,772,205,756,405,897,806,735,391,398,222,479,231,435,783,875,358,725,
728,172,903,428,105,414,418,687,221,721,464,282,888,121,256,500,428,801,998,
653,179,116,353,958,699,948,914,026,443,576,283,488,343,674,881,891,486,667,
799,690,584,000,614,788,971,511,324,574,275,905,098,317,850,861,403,732,461,
927,861,621,782,246,292,670,700,686,684,458,317,084,384,153,646,118,394,627,
411,663,647,329,798,628,126,849,274,309,530,395,541,656,640,103,957,869,189,
347,788,388,170,170,820,292,314,813,009,088,110,942,716,802,200,368,614,877,
561,196,611,427,086,898,741,934,055,361,444,336,107,022,182,449,400,855,847,
319,450,847,936,757,470,437,542,408,324,313,296,477,488,611,446,775,254,259,
990,833,059,722,655,731,408,171,081,481,271,130,585,750,358,228,580,482,659,
261,362,600,141,112,473,784,127,847,994,134,965,059,792,396,838,407,584,846,
400,908,510,995,438,287,016,340,042,235,653,621,542,726,812,018,204,629,523,
583,773,643,414,151,231,198,461,376,588,060,485,680,191,859,152,890,849,475,
483,609,053,553,988,394,669,944,018,152,499,373,312,532,821,973,898,659,253,
318,859,638,967,697,042,135,505,326,396,149,318,001,452,997,107,197,044,597,
177,236,045,272,255,821,557,031,957,977,325,702,310,841,510,570,815,483,696,
882,952,481,228,938,775,749,242,605,591,593,655,191,367,397,801,532,016,878,
587,836,828,454,478,137,981,899,226,204,319,954,787,716,951,945,895,403,933,
131,143,149,624,014,236,532,988,990,546,627,500,197,308,489,566,632,020,684,
664,832,510,415,574,298,836,800,753,991,693,508,076,151,708,138,925,031,735,
118,405,025,905,591,615,413,952,051,442,605,448,617,619,557,918,864,458,198,
382,299,646,624,039,945,799,857,012,431,125,242,512,734,240,272,533,946,254,
442,664,113,081,995,842,957,435,881,651,592,872,414,528,043,025,380,577,789,
584,209,598,353,173,734,901,409,368,248,414,665,479,126,439,834,203,364,152,
689,350,347,608,648,665,432,992,077,946,675,289,103,194,551,378,728,656,615,
843,152,483,110,279,880,611,623,633,645,465,054,368,720,786,593,295,608,683,
041,936,976,403,806,706,924,121,894,389,264,339,204,093,296,298,008,278,715,
278,780,005,636,631,483,491,304,695,241,504,318,503,064,648,628,415,661,130,
241,534,395,786,821,695,092,812,549,461,171,793,089,350,684,652,286,925,827,
885,648,895,294,819,392,056,473,216,299,436,532,687,557,349,531,970,506,941,
772,491,467,325,743,453,123,968,313,324,521,481,497,985,586,060,428,945,370,
980,886,916,197,031,250,279,783,637,552,628,151,540,163,266,587,116,019,151,
088,735,001,801,764,848,738,156,390,347,721,066,245,683,374,562,430,663,836,
518,601,644,660,619,617,145,891,098,432,441,217,741,407,535,420,305,957,580,
746,626,620,016,171,735,252,851,778,880,878,919,676,981,416,562,827,004,122,
721,948,605,503,540,829,338,605,630,023,132,828,692,921,246,849,564,185,253,
282,173,997,083,745,955,039,573,673,552,081,851,243,464,677,513,081,158,893,
664,426,828,051,246,806,661,216,705,704,094,212,586,759,234,002,285,608,351,
697,043,985,285,004,094,291,114,334,949,217,835,057,828,540,564,391,800,809,
948,333,737,855,966,046,953,773,677,085,146,517,613,115,677,757,116,814,527,
553,890,686,675,523,876,110,698,205,987,544,957,919,899,337,868,670,540,074,
140,552,914,008,824,983,152,369,506,521,116,798,236,003,868,425,499,811,517,
993,299,097,853,165,716,904,872,125,024,590,651,024,995,856,305,795,119,797,
901,065,025,056,890,613,157,308,147,951,937,370,136,814,981,104,072,966,038,
030,719,837,259,893,870,712,014,121,936,181,211,003,516,001,157,807,107,696,
201,313,440,291,894,092,341,688,412,395,204,954,265,321,835,975,558,673,100,
358,180,094,608,266,592,732,607,697,703,609,450,328,400,690,511,068,201,721,
739,922,850,618,038,641,371,559,453,719,771,467,771,641,004,518,873,928,081,
173,711,284,252,140,261,383,119,249,648,424,288,036,468,226,904,506,590,697,
815,758,593,567,689,728,098,059,579,873,130,405,564,497,281,045,649,377,478,
361,258,192,594,175,289,160,406,374,119,202,238,154,489,609,172,795,530,669,
432,387,450,186,244,531,470,813,494,423,579,722,022,626,604,323,828,345,344,
236,874,306,413,288,800,960,618,154,332,256,693,432,623,810,454,899,291,495,
132,822,415,602,877,732,361,173,441,565,750,439,505,068,539,478,784,660,634,
746,755,483,165,861,433,278,223,377,655,599,378,276,020,186,373,251,002,110,
912,892,063,464,087,628,005,288,518,700,883,381,577,920,070,873,796,387,715,
501,036,903,762,804,960,318,281,254,913,057,731,576,634,484,078,033,018,362,
556,170,119,603,501,976,783,654,940,472,502,840,391,598,460,996,074,515,714,
996,029,889,248,813,262,559,993,770,664,860,350,133,015,596,752,837,425,532,
402,670,043,177,756,549,135,546,722,578,544,120,291,446,210,165,445,825,005,
392,146,277,572,972,387,408,951,218,577,167,934,043,770,315,279,319,934,586,
643,887,225,544,938,847,382,518,139,324,354,210,749,772,969,057,693,004,817,
318,012,161,896,242,118,802,113,122,800,079,927,619,433,464,339,435,194,929,
691,363,934,954,096,839,966,785,583,080,974,198,367,831,311,675,466,956,783,
398,075,166,128,165,767,766,360,697,677,647,439,008,203,639,107,894,549,947,
059,450,684,943,169,558,350,051,184,243,135,656,061,350,919,527,646,568,843,
767,193,451,128,071,201,774,145,901,260,832,244,029,434,653,536,799,915,391,
253,425,610,242,330,130,432,667,488,599,046,689,178,627,981,604,760,056,601,
450,467,488,001,749,290,430,541,745,883,433,282,888,800,787,420,625,805,183,
799,917,080,398,467,713,314,119,739,821,018,184,073,310,732,738,479,546,344,
566,047,978,137,690,090,730,547,861,137,076,955,853,263,593,911,215,345,528,
512,590,358,244,245,705,212,784,054,468,609,369,194,352,004,405,894,462,979,
211,309,008,439,694,658,356,619,153,564,839,648,665,799,636,981,820,663,335,
462,884,944,289,659,738,984,463,512,093,279,864,514,069,151,262,342,496,181,
477,674,766,136,470,284,972,363,675,782,043,783,477,959,399,183,391,260,659,
514,716,753,891,019,406,101,167,088,330,194,505,622,745,389,602,349,684,415,
987,442,013,076,631,517,392,915,197,551,516,605,278,574,990,820,789,075,995,
060,793,454,881,152,331,632,277,397,225,281,094,956,447,447,075,661,569,386,
465,040,918,260,705,388,493,751,350,096,189,856,449,937,995,795,647,197,434,
805,421,359,526,132,844,031,270,350,195,919,222,262,312,565,789,826,060,420,
412,061,362,695,379,063,996,132,001,671,983,707,291,213,213,677,867,341,111,
188,169,853,115,982,824,380,891,184,176,069,731,458,630,422,360,234,350,827,
623,472,727,492,767,749,511,613,620,257,432,414,525,554,318,509,872,820,698,
126,479,921,296,575,552,864,077,937,010,630,431,656,887,264,807,503,550,314,
102,325,848,752,309,204,761,422,574,402,156,528,432,588,856,093,221,160,041,
843,643,978,661,971,246,581,077,025,235,168,130,689,972,496,767,281,103,270,
977,789,290,997,388,500,741,276,142,174,611,935,298,092,261,698,884,215,052,
421,340,985,956,771,636,568,122,068,365,743,811,757,226,336,232,024,700,855,
500,069,799,617,211,809,864,324,983,045,819,466,201,400,156,655,880,798,808,
102,344,470,473,663,164,886,562,444,347,606,471,616,253,146,471,028,512,421,
336,861,843,933,288,037,050,680,593,110,008,917,430,402,971,229,634,966,531,
515,883,311,086,562,404,125,955,901,056,804,834,074,953,016,360,219,609,072,
645,548,469,774,395,049,740,434,663,044,198,766,196,099,587,694,153,744,177,
233,422,584,424,570,355,028,301,976,399,397,954,325,454,117,188,151,703,633,
591,762,846,813,047,371,147,752,036,601,975,790,999,045,599,040,668,264,154,
590,295,089,182,777,019,440,434,524,958,439,518,753,639,133,017,746,648,720,
899,759,197,543,063,600,997,527,882,138,365,937,474,634,031,176,162,581,869,
774,565,607,415,812,031,042,647,840,734,174,119,009,525,230,657,288,243,393,
407,867,312,219,712,873,992,886,816,851,419,078,618,195,162,906,335,052,567,
760,946,561,937,132,660,054,718,491,019,699,587,464,890,231,912,855,680,990,
650,585,866,394,040,485,664,125,734,308,775,811,698,399,452,421,879,549,898,
739,120,942,326,628,329,697,266,848,598,995,036,553,289,329,324,187,309,788,
035,528,402,622,031,669,776,229,914,138,860,297,930,644,822,317,623,966,984,
148,426,941,151,883,851,011,538,731,823,591,687,083,882,527,279,998,678,321,
750,764,426,161,901,585,649,129,863,426,065,457,060,494,832,242,536,738,384,
738,346,339,349,616,800,959,417,365,569,662,705,169,704,681,633,761,276,955,
869,060,295,660,533,168,716,294,922,956,950,815,764,447,582,502,647,768,992,
662,575,227,393,583,838,830,451,209,395,179,323,475,492,151,797,465,453,356,
513,621,570,442,430,328,968,163,086,822,049,504,314,731,723,639,303,278,525,
787,637,611,384,219,845,283,995,089,979,461,280,332,537,240,300,677,539,433,
107,742,241,618,747,198,216,873,193,838,412,373,776,997,887,574,784,389,232,
179,852,944,473,787,309,224,086,896,012,619,730,176,443,830,718,890,606,088,
614,357,763,915,520,263,630,902,735,494,850,074,013,647,709,777,727,203,248,
457,001,104,780,284,040,923,376,459,611,431,511,560,461,957,161,386,404,106,
848,346,668,888,832,157,582,102,970,250,729,221,047,839,397,360,923,277,366,
138,812,291,251,842,037,200,753,406,214,853,570,732,503,327,510,640,396,458,
509,891,673,438,399,769,930,961,209,952,061,579,028,217,131,035,383,043,254,
560,456,466,581,415,364,825,858,136,755,604,042,894,496,646,232,473,801,717,
934,551,209,888,449,848,817,598,784,763,852,368,018,038,525,225,195,152,600,
871,458,732,636,373,362,229,011,083,829,551,718,573,680,507,983,807,775,698,
087,551,522,867,622,722,408,222,940,221,510,881,864,058,094,607,427,297,135,
351,163,668,996,738,527,378,951,204,331,957,097,966,725,177,986,711,773,204,
893,315,594,575,635,802,340,764,769,965,637,481,000,127,225,883,781,857,868,
884,328,944,538,855,707,590,577,629,121,830,235,726,634,550,664,161,273,208,
434,969,436,301,760,337,150,105,315,440,170,279,631,653,693,314,885,661,932,
827,993,206,399,148,432,670,166,950,091,335,521,568,584,530,083,069,271,067,
256,602,977,163,327,082,033,558,580,120,146,103,471,642,228,896,656,564,906,
955,215,301,945,939,474,377,846,595,287,956,094,292,440,192,128,168,416,292,
071,988,405,287,217,737,932,609,690,881,116,998,249,443,617,426,038,669,023,
300,712,604,284,847,347,946,107,398,884,295,564,059,930,399,921,397,332,067,
180,263,914,930,236,594,282,425,050,940,006,556,292,805,924,834,412,001,378,
526,054,530,107,876,045,362,630,422,006,764,084,894,022,091,389,827,676,878,
687,505,640,918,332,621,541,003,806,553,390,344,336,476,299,550,343,375,210,
305,649,776,097,179,673,289,820,726,113,739,204,020,843,821,837,467,209,917,
561,082,852,653,181,130,825,917,092,303,261,484,878,048,374,110,189,241,196,
728,900,687,164,186,577,216,966,841,488,182,521,016,120,989,954,893,156,182,
511,877,881,601,966,781,696,257,277,545,162,414,744,057,576,330,100,440,874,
862,129,284,058,564,758,713,584,462,689,694,383,271,191,258,708,679,859,973,
458,750,943,101,332,666,689,306,853,894,702,301,018,915,526,362,714,596,737,
814,031,769,189,160,533,723,954,998,835,085,313,831,927,050,225,536,406,688,
815,309,270,215,063,235,795,087,411,809,720,462,970,004,713,092,832,308,566,
351,291,630,874,733,177,228,024,045,590,571,094,799,373,920,200,228,551,298,
439,346,683,201,851,232,809,913,967,370,453,172,709,498,988,933,871,642,104,
635,644,528,268,550,996,626,058,056,878,919,399,322,328,273,630,408,051,717,
138,966,724,488,650,038,456,596,324,371,734,740,662,960,636,289,303,321,431,
778,139,056,884,912,030,685,948,717,764,755,970,327,416,099,409,309,555,115,
442,831,382,410,000,397,495,810,223,333,590,201,069,308,061,684,719,638,754,
343,307,518,297,265,104,425,239,852,000,828,067,570,769,565,806,070,197,855,
199,388,310,382,182,412,180,103,811,762,880,066,860,694,699,192,387,003,479,
077,196,558,378,471,483,226,230,345,571,190,513,103,485,511,590,007,240,513,
514,497,108,133,217,788,639,168,393,379,382,944,876,621,630,401,965,012,794,
152,300,593,531,692,210,172,238,763,539,254,717,690,514,508,422,305,389,523,
869,744,400,790,902,259,837,772,078,239,908,324,481,875,806,892,045,850,822,
533,929,853,579,892,097,470,193,655,092,592,648,368,761,915,699,982,691,163,
645,753,194,235,924,256,636,014,415,708,973,597,113,318,785,978,914,789,587,
649,412,397,027,987,089,494,856,752,711,052,557,062,205,985,797,199,104,717,
147,094,931,276,718,548,302,357,787,896,123,973,856,704,033,332,653,877,848,
895,662,694,078,829,747,347,825,587,334,154,212,445,960,669,047,296,812,603,
608,682,172,912,038,562,778,605,027,132,063,131,062,834,038,697,707,178,159,
408,121,151,472,102,847,686,914,923,775,456,534,291,539,767,105,825,472,215,
755,976,406,127,821,214,552,362,575,534,100,275,922,266,695,062,890,296,865,
729,168,722,821,032,073,111,657,938,357,536,821,626,533,340,356,587,998,852,
770,197,559,397,238,778,279,432,988,066,120,820,528,665,796,259,980,744,445,
728,651,140,469,078,163,130,420,123,318,652,071,298,749,686,014,177,291,561,
481,173,398,854,774,046,426,210,934,581,307,940,332,214,147,341,398,568,661,
394,066,281,257,277,098,360,620,098,460,254,273,251,350,068,468,684,730,345,
775,135,064,289,185,993,349,678,847,218,218,034,396,765,013,343,527,260,425,
042,361,931,122,845,617,098,924,785,891,333,664,607,332,121,583,963,094,073,
088,005,145,718,399,393,393,522,527,241,292,520,333,536,933,674,711,037,281,
970,787,546,647,095,352,598,331,683,758,423,329,260,271,648,223,724,427,185,
155,899,815,180,009,762,163,485,402,839,164,654,746,917,244,848,712,921,736,
164,964,731,402,691,878,124,256,298,765,578,709,109,194,012,613,483,066,232,
864,072,944,713,063,287,844,423,752,683,850,329,484,427,353,549,113,447,592,
585,131,023,398,372,403,819,213,640,205,971,493,461,709,475,708,990,319,455,
802,694,447,292,388,321,938,560,382,580,412,015,261,844,703,704,843,033,163,
734,480,213,001,440,807,479,895,088,262,180,965,144,073,468,130,780,511,669,
671,733,712,782,735,223,684,544,579,186,837,785,498,789,155,517,894,122,855,
119,511,665,162,186,336,236,824,854,684,375,596,738,564,510,982,464,758,602,
091,573,830,858,589,495,674,749,167,357,367,366,965,039,236,393,033,345,236,
451,505,136,082,796,708,464,032,978,785,533,065,197,504,860,139,862,611,085,
727,808,580,570,753,106,665,577,737,763,781,042,569,561,065,789,102,754,814,
260,898,174,820,603,036,439,380,395,593,275,621,177,071,778,830,550,271,085,
351,532,140,427,664,394,533,383,130,136,015,519,337,495,551,371,301,429,526,
402,850,905,551,052,923,934,417,738,735,823,589,660,015,880,624,426,873,186,
655,213,160,833,315,670,318,836,377,975,695,272,025,663,490,178,987,642,138,
246,891,461,351,602,588,948,060,435,022,445,410,507,434,085,726,158,285,787,
103,864,298,416,643,677,604,733,040,603,358,667,335,938,801,762,018,006,139,
787,120,413,628,777,131,345,132,509,152,049,234,865,439,631,809,099,398,415,
375,020,903,542,244,083,090,132,350,606,870,871,883,160,225,762,609,606,951,
771,994,081,962,109,038,090,037,874,651,314,428,497,598,831,366,287,538,127,
450,007,444,000,411,205,936,677,034,324,786,187,200,651,769,496,191,469,069,
478,563,399,035,057,507,249,493,737,203,911,033,356,077,785,389,348,554,602,
532,947,614,816,636,234,509,162,665,191,302,910,288,479,249,204,110,510,965,
764,986,151,859,604,419,620,008,877,914,416,999,197,309,763,711,379,309,791,
321,604,215,284,941,569,016,169,440,704,664,226,057,725,101,799,368,620,418,
088,773,800,795,939,768,841,379,720,960,385,504,386,621,764,911,333,711,032,
824,878,400,749,104,517,867,480,338,450,626,401,921,511,928,350,896,912,044,
080,977,657,622,838,517,625,391,785,219,158,993,983,504,037,223,734,242,830,
107,498,295,523,459,451,826,620,172,780,074,177,242,441,796,475,267,018,738,
587,884,505,155,080,241,092,817,268,393,931,048,029,266,151,664,273,454,246,
388,448,948,469,512,889,976,789,380,119,361,312,312,551,850,837,278,550,891,
480,976,054,592,803,495,284,312,296,612,608,466,206,521,288,525,308,524,538,
759,820,754,002,908,894,384,096,439,205,852,986,126,565,277,278,126,417,480,
788,513,391,690,048,920,135,499,013,609,705,938,513,516,999,839,125,534,053,
226,369,260,580,780,745,817,412,140,417,227,988,654,156,417,742,604,848,441,
437,621,510,540,134,419,392,559,442,682,708,944,733,246,836,200,103,765,371,
267,079,638,283,346,537,483,756,778,464,123,633,142,315,297,563,072,181,855,
033,378,286,740,532,725,512,234,631,438,786,359,884,172,643,943,105,767,537,
184,360,504,397,277,922,370,735,635,751,445,903,469,029,392,064,821,637,557,
389,816,816,720,444,215,972,003,455,643,789,042,484,374,029,656,043,599,131,
235,366,291,048,557,870,669,269,799,967,975,004,962,209,467,208,536,798,975,
921,007,724,088,900,314,743,751,099,348,612,128,663,302,766,741,364,945,135,
121,612,650,180,237,550,349,118,425,207,498,345,231,402,529,142,942,122,405,
091,747,803,833,447,208,456,486,289,489,501,840,765,645,812,477,220,300,401,
315,786,974,161,756,328,674,722,828,061,023,653,477,579,888,886,521,354,324,
818,628,366,887,064,556,566,598,826,199,639,705,451,455,024,560,524,609,682,
385,104,757,036,712,715,276,138,934,616,507,537,253,833,508,837,247,902,687,
115,696,263,958,585,202,006,665,631,038,049,945,708,721,065,585,508,945,100,
429,502,487,109,858,616,469,740,495,525,634,229,407,130,205,594,844,966,151,
761,759,369,023,664,138,203,618,753,576,390,268,900,719,356,457,362,813,604,
883,330,720,817,970,522,143,346,759,294,090,504,763,876,993,373,523,278,459,
109,140,442,778,027,941,948,434,993,164,027,049,312,235,994,156,190,243,696,
608,813,422,219,742,696,509,082,310,720,012,040,943,502,636,840,344,663,276,
819,739,285,886,014,868,183,316,689,313,313,844,077,748,283,806,452,656,973,
946,782,412,682,251,233,407,593,432,018,193,733,184,816,789,010,040,687,145,
117,519,755,047,892,714,739,988,222,828,042,166,780,663,975,187,739,888,441,
212,190,068,651,213,594,281,573,629,672,875,420,449,293,580,044,877,820,708,
035,893,776,218,427,839,164,318,739,149,643,393,366,696,806,101,655,692,070,
059,283,080,818,873,745,094,266,090,813,326,687,240,227,940,141,654,768,215,
584,575,630,917,214,937,800,990,360,088,664,504,665,923,801,915,122,105,038,
284,472,536,076,257,081,824,945,069,445,834,765,785,656,724,505,831,693,097,
455,238,131,421,615,473,041,959,903,161,750,902,123,508,370,099,726,510,497,
349,198,292,774,487,991,339,290,675,473,390,107,029,746,862,644,937,861,158,
751,396,152,971,206,397,906,314,909,366,803,487,158,724,271,547,690,514,958,
587,691,844,088,835,861,126,904,474,281,705,574,256,918,796,960,601,584,878,
771,790,314,012,475,754,627,882,175,422,211,068,123,407,769,866,988,401,968,
274,471,203,113,876,858,945,370,625,052,494,695,871,000,182,421,797,417,375,
781,037,780,036,052,843,728,070,042,100,678,515,818,838,675,118,533,905,915,
033,861,095,174,511,411,019,043,332,703,769,247,595,274,704,381,409,709,180,
353,716,449,412,666,754,564,118,531,612,696,333,645,841,431,937,497,069,571,
978,085,115,627,557,582,253,354,688,121,372,563,552,273,455,669,110,319,351,
271,709,512,383,626,540,465,412,785,358,042,530,901,209,783,381,863,993,524,
258,147,307,668,066,250,984,489,936,170,652,281,246,786,044,364,677,887,480,
835,797,113,334,061,175,263,197,034,953,245,217,531,591,950,833,231,156,419,
907,237,681,989,711,791,876,031,666,754,408,526,088,401,010,140,122,308,184,
001,184,861,145,890,474,632,798,000,185,324,607,675,281,027,007,278,500,369,
895,006,475,957,005,739,709,159,466,196,017,843,604,332,267,541,622,090,875,
142,875,555,512,904,323,870,231,876,716,552,237,431,693,473,758,382,618,834,
743,093,832,229,210,537,958,850,028,543,728,555,219,209,338,230,370,951,267,
064,231,258,882,270,293,401,670,658,317,808,085,097,674,651,845,083,743,947,
415,605,589,975,700,785,422,749,073,301,882,261,963,103,939,260,756,161,400,
773,404,858,844,424,799,925,238,616,943,835,485,267,084,093,174,484,373,828,
393,839,934,528,540,508,751,261,896,210,057,534,553,425,772,709,934,852,862,
736,409,569,411,092,765,349,345,547,084,244,393,041,229,124,421,973,135,233,
191,751,206,647,844,965,528,712,186,500,429,156,428,866,397,400,767,945,965,
360,082,629,573,167,021,860,082,664,175,352,067,998,748,163,926,691,331,563,
820,389,298,834,862,961,702,281,699,225,095,256,032,971,305,754,604,167,937,
074,007,278,871,005,492,538,426,296,110,855,198,815,077,830,469,142,116,284,
336,682,774,726,442,177,574,433,906,522,289,604,393,372,911,904,025,210,584,
595,655,888,527,162,976,825,283,430,169,933,626,083,263,826,711,467,232,482,
210,962,250,202,450,192,593,167,889,908,565,536,582,154,187,356,215,502,893,
551,487,512,714,392,021,153,086,069,594,693,571,681,269,917,663,256,541,367,
812,326,028,116,667,255,497,420,639,339,117,642,040,333,957,066,526,250,135,
911,396,946,852,745,719,003,129,059,409,698,102,825,251,309,812,089,015,248,
037,370,328,810,995,577,633,808,123,044,876,301,536,278,312,110,697,657,259,
884,425,289,014,778,158,192,633,082,939,051,461,955,886,259,872,711,931,544,
792,207,076,860,908,613,596,563,798,925,402,995,134,291,375,318,900,458,633,
450,169,829,388,502,512,086,761,511,928,091,357,512,025,154,215,397,628,800,
721,537,861,470,057,827,669,493,409,233,589,928,443,474,739,535,904,837,950,
475,420,065,719,909,766,369,820,310,785,196,927,415,595,805,113,006,287,812,
805,703,913,025,104,851,731,425,479,555,291,916,159,209,614,114,475,555,243,
028,871,845,744,337,027,006,433,482,196,996,764,557,287,651,058,389,324,990,
516,339,357,636,623,873,202,816,926,438,351,280,870,059,399,802,809,319,596,
450,782,748,896,802,584,831,849,236,046,941,574,872,846,611,246,071,867,807,
831,114,163,563,032,748,370,193,613,644,250,811,828,804,085,563,433,050,441,
768,658,484,739,336,434,817,756,100,008,189,706,426,186,853,974,702,944,889,
385,467,672,771,113,856,359,342,529,369,865,203,060,458,030,460,988,915,268,
810,576,796,889,667,263,020,423,932,385,023,341,550,278,940,710,554,837,540,
466,142,944,444,476,495,487,513,610,921,572,860,768,820,532,207,913,907,976,
836,989,670,602,388,609,516,955,115,783,880,131,067,079,543,479,127,504,616,
737,207,846,289,922,243,311,244,236,947,961,269,599,525,970,632,472,479,818,
869,276,030,631,565,565,931,399,798,425,778,053,633,922,246,724,800,575,953,
357,922,771,959,214,966,891,035,653,845,811,333,638,510,293,822,115,925,321,
408,349,454,908,826,340,720,785,687,035,113,327,722,348,644,924,024,811,349,
742,474,753,862,078,471,859,142,337,405,347,306,877,076,354,250,723,925,655,
545,579,700,003,194,014,065,474,599,823,321,495,061,646,437,145,499,019,824,
786,721,588,218,825,554,579,474,364,462,723,755,367,930,256,011,014,648,923,
041,446,280,725,929,666,355,031,176,976,411,316,652,556,828,266,369,579,908,
210,932,886,323,189,843,199,506,106,274,512,314,210,362,857,647,317,792,635,
953,066,883,591,566,996,035,629,291,364,978,186,331,997,957,048,634,335,585,
519,864,685,045,590,160,713,136,021,537,959,715,767,434,795,266,013,920,024,
264,813,691,288,742,340,440,071,715,871,225,563,061,434,340,991,568,968,709,
518,856,507,422,617,473,306,458,008,991,722,129,126,100,495,508,735,107,388,
264,555,384,807,396,691,360,668,579,214,454,954,794,152,746,080,415,203,702,
661,263,323,285,748,048,107,484,026,616,617,887,102,738,185,906,829,504,561,
586,115,381,346,638,215,379,407,066,612,041,098,527,188,174,791,773,362,940,
280,182,210,814,472,123,608,892,481,008,524,551,897,495,835,763,249,547,012,
180,093,257,379,754,150,293,141,654,778,562,929,234,194,208,372,215,011,462,
059,228,463,879,307,543,523,439,043,285,301,115,821,151,628,348,322,730,120,
561,795,476,397,957,653,154,478,897,945,252,137,285,039,833,346,638,895,183,
668,992,803,135,712,116,635,975,065,532,225,466,780,639,553,864,803,094,978,
693,218,383,916,924,054,452,737,600,602,632,845,706,868,552,857,534,489,407,
524,499,625,597,847,559,644,337,613,442,816,011,775,555,426,220,648,742,585,
345,643,216,640,129,155,659,509,172,324,250,803,280,887,766,969,324,234,301,
287,496,541,091,544,972,290,590,250,195,787,314,715,207,546,225,201,998,725,
277,881,165,116,436,780,423,078,704,391,185,288,769,848,415,118,676,743,431,
173,727,439,450,144,644,763,378,438,190,441,275,279,676,121,012,221,978,192,
776,812,288,477,540,049,033,370,114,836,999,905,961,508,285,261,398,476,943,
522,280,777,750,031,070,890,544,765,643,045,720,324,766,431,427,293,400,827,
546,298,572,293,959,146,506,136,415,756,790,243,526,267,068,791,361,860,174,
778,233,670,412,133,437,103,514,154,390,901,581,131,669,283,541,620,761,825,
932,344,196,506,030,254,741,887,469,070,433,941,405,003,670,073,802,642,119,
482,884,151,349,822,979,672,888,342,241,191,005,537,989,150,588,335,966,793,
669,753,887,314,406,700,970,442,312,361,780,812,580,038,887,191,351,549,161,
692,413,059,720,549,563,542,821,219,696,117,234,252,244,790,858,987,053,243,
554,574,044,520,116,657,981,166,207,067,347,407,104,137,950,067,326,830,058,
725,681,366,703,289,598,611,091,725,354,631,828,575,282,762,575,503,541,729,
148,892,296,933,828,634,256,897,457,623,699,788,911,289,910,072,373,108,603,
993,163,961,310,405,357,858,402,835,837,599,537,898,262,972,301,866,675,236,
770,041,972,803,131,836,101,091,274,331,806,855,810,243,866,276,905,410,668,
781,645,284,006,510,604,177,115,925,773,803,368,551,910,010,103,355,725,508,
341,120,017,355,862,719,942,906,213,413,048,050,755,011,393,886,599,546,830,
453,994,527,008,647,846,849,828,349,280,574,507,991,230,694,245,934,533,133,
907,087,191,729,579,247,823,927,606,226,526,434,756,376,176,105,650,891,307,
964,643,415,378,022,583,102,127,681,891,512,901,476,201,930,964,730,223,011,
197,948,048,868,266,678,240,452,048,386,930,621,921,773,477,270,334,160,251,
606,959,540,061,396,603,144,064,419,611,808,039,128,503,742,527,500,442,541,
299,299,806,174,617,389,191,585,573,801,998,596,031,501,703,176,947,282,467,
707,377,760,835,214,793,090,860,460,867,230,666,931,918,759,259,862,306,666,
523,617,062,095,415,821,080,836,354,089,628,596,511,380,766,616,988,631,551,
566,738,915,835,976,522,922,611,902,641,936,228,610,168,691,976,765,862,563,
633,855,597,527,921,512,847,921,361,741,083,375,327,459,537,757,526,720,224,
886,535,368,274,510,639,803,875,160,399,517,772,308,416,883,031,716,880,672,
002,279,667,717,322,262,891,533,572,001,230,098,478,405,023,322,337,272,187,
501,328,276,013,432,213,448,923,160,441,983,264,733,031,844,007,503,467,378,
231,444,927,610,278,689,070,502,648,258,912,731,982,250,321,527,832,364,542,
874,617,249,125,084,308,946,967,114,242,384,027,860,900,004,707,249,791,458,
694,780,741,268,379,834,496,968,409,959,635,514,276,655,982,812,219,679,876,
306,042,693,819,812,507,944,900,944,903,396,514,363,826,554,939,455,141,698,
950,124,598,084,691,740,257,632,687,356,778,911,852,822,040,880,765,940,462,
902,305,526,867,164,024,435,536,793,381,336,732,664,632,793,792,197,550,324,
108,297,677,603,214,616,165,409,616,193,779,474,207,093,674,718,915,078,266,
747,538,115,575,412,544,237,289,792,815,019,443,516,145,734,042,329,304,673,
121,035,112,171,328,655,265,020,647,024,149,390,844,382,371,753,648,358,894,
310,931,392,641,772,893,135,289,887,964,232,984,630,934,676,134,649,191,037,
687,275,677,283,605,530,416,679,251,728,044,162,242,695,664,504,824,297,178,
486,797,367,873,607,364,799,394,084,068,383,710,908,165,983,194,641,425,827,
410,164,833,629,256,883,448,773,605,213,525,481,903,181,645,528,663,450,489,
061,945,703,028,318,285,679,882,086,978,154,438,648,117,064,763,534,536,428,
969,977,506,966,961,815,237,647,134,127,474,067,747,079,209,855,726,254,414,
214,416,577,512,194,965,866,599,452,854,759,133,930,786,456,702,496,742,419,
128,400,545,769,179,966,580,224,660,298,764,366,900,493,539,265,195,116,543,
808,714,464,105,806,910,512,885,604,459,939,298,192,752,810,669,121,435,387,
122,950,872,885,833,383,847,279,998,700,397,873,384,993,458,664,706,802,627,
648,973,043,494,736,285,026,788,501,718,226,222,274,923,960,308,051,024,561,
981,230,547,620,547,268,114,120,372,162,753,442,340,173,922,507,019,534,604,
090,554,948,810,302,300,934,856,635,830,473,827,239,332,464,555,759,744,046,
112,103,343,620,889,414,635,076,960,558,224,392,980,644,309,874,490,641,269,
042,714,198,541,948,144,519,745,837,316,759,104,408,117,257,489,611,038,834,
414,937,032,299,945,607,581,365,793,059,185,196,078,750,502,312,444,472,166,
113,635,822,509,857,046,278,780,936,715,567,188,189,256,598,339,815,575,314,
459,069,357,725,665,217,492,137,152,623,193,610,353,768,398,823,037,578,380,
465,496,145,487,801,698,701,245,400,339,901,996,704,480,829,934,329,671,640,
497,677,220,019,232,303,248,348,871,599,580,965,981,698,736,249,386,564,831,
758,927,584,168,759,464,485,978,297,990,371,884,970,864,987,351,009,816,430,
309,813,439,289,181,670,950,438,234,626,124,079,125,054,829,191,249,666,724,
897,611,708,774,778,094,348,781,969,203,837,655,210,055,914,355,539,359,463,
899,250,775,403,286,346,859,704,108,561,124,144,922,691,367,249,300,915,451,
841,494,206,998,330,183,072,663,693,850,999,675,022,075,256,356,133,872,661,
556,953,638,677,244,723,321,588,339,556,230,514,170,000,654,817,038,726,575,
050,657,657,676,819,982,502,286,651,456,409,985,840,801,506,101,829,033,172,
085,179,489,269,521,084,819,723,461,685,435,728,235,506,994,436,986,848,130,
032,802,742,288,626,810,924,276,442,611,510,511,637,234,529,397,968,176,933,
740,401,785,182,466,630,596,312,106,212,043,458,270,597,597,278,815,761,292,
968,641,192,935,124,897,494,561,500,822,714,215,125,921,554,554,332,278,686,
309,215,874,794,763,233,399,461,373,420,953,918,005,853,520,871,325,847,206,
079,865,266,972,998,880,174,965,829,077,394,266,262,207,102,332,906,850,853,
866,518,792,057,958,511,582,673,560,789,105,902,759,768,674,652,900,586,572,
301,967,060,917,405,541,570,350,116,739,635,043,182,639,305,807,834,473,954,
063,329,513,550,910,685,490,259,818,122,652,413,010,089,421,399,979,232,628,
746,204,801,817,390,197,780,991,692,384,650,386,720,911,282,495,397,094,792,
009,147,524,884,069,911,247,192,570,955,056,211,669,452,852,713,640,499,090,
123,507,887,851,613,571,220,878,424,173,020,673,608,309,986,935,849,512,537,
838,669,548,940,716,602,299,790,654,685,654,952,594,888,771,382,448,666,917,
389,118,077,410,524,895,115,834,924,067,753,855,922,572,876,721,529,199,406,
554,108,408,778,337,332,280,964,729,944,514,117,346,933,135,882,089,155,760,
331,954,582,601,228,479,141,805,444,797,218,816,274,591,025,988,351,973,704,
259,039,658,188,974,450,250,898,122,758,119,489,913,604,483,847,303,359,002,
565,986,726,797,604,006,098,508,568,135,285,433,401,606,026,107,230,393,578,
996,151,690,211,895,334,487,541,435,592,800,804,385,596,975,677,576,869,127,
812,710,600,862,543,251,203,796,624,384,065,334,927,894,690,137,870,605,494,
318,260,717,178,133,891,344,774,810,667,662,547,765,610,709,214,851,041,448,
894,674,321,552,070,085,191,499,279,268,130,103,876,752,449,255,029,082,516,
573,415,712,031,626,057,292,075,131,046,539,334,662,941,383,665,115,147,752,
094,716,333,009,647,845,107,087,036,138,918,548,138,218,904,298,438,872,173,
224,958,547,722,758,826,993,139,096,576,491,979,077,894,633,610,234,364,574,
670,368,552,900,385,209,283,426,133,520,160,954,837,773,015,390,922,606,368,
802,000,254,634,675,926,173,512,898,387,967,786,217,609,290,928,592,149,055,
622,115,942,861,107,115,296,898,887,851,391,583,305,055,073,979,431,244,938,
684,610,437,197,498,976,558,964,869,035,853,161,037,982,374,998,417,490,782,
979,928,734,018,398,347,900,706,323,774,838,780,878,402,930,964,404,592,575,
368,502,613,144,321,470,959,143,937,565,868,806,951,903,044,504,371,356,989,
928,639,499,581,700,456,129,906,979,030,587,489,481,426,252,367,151,973,528,
290,044,550,656,588,588,543,058,794,907,245,479,033,976,509,277,583,578,625,
546,108,924,569,650,571,035,629,713,867,773,431,867,597,413,202,008,814,922,
125,905,344,459,936,417,862,100,949,916,268,044,081,406,660,389,717,792,488,
130,472,567,689,717,250,832,810,271,650,350,360,641,394,747,978,453,315,473,
054,976,891,747,755,361,723,750,421,228,246,834,661,187,077,270,764,354,397,
579,682,659,823,129,745,066,383,706,319,197,860,432,135,740,489,440,108,997,
855,142,163,232,038,068,207,031,857,553,695,758,408,694,602,996,547,893,797,
911,829,158,106,707,782,441,521,506,705,686,105,654,145,111,705,824,041,386,
729,386,360,509,253,038,613,306,595,833,699,559,384,284,017,305,089,280,710,
153,818,625,466,050,255,075,455,056,123,339,841,315,927,722,989,474,718,598,
091,745,641,534,918,305,369,695,426,775,257,018,139,572,337,294,602,981,444,
700,379,365,167,743,997,662,689,873,297,641,310,516,247,148,688,767,692,434,
205,662,504,472,905,258,435,417,920,462,605,530,128,913,793,417,061,367,237,
297,667,175,417,606,846,380,598,974,049,846,269,533,181,235,143,461,980,078,
075,613,213,083,132,923,797,534,168,961,468,078,439,712,861,462,920,629,114,
156,173,108,097,890,572,618,639,048,477,997,689,722,422,718,811,972,004,519,
182,038,979,859,608,116,061,814,835,630,404,478,558,133,803,307,987,177,523,
438,972,170,548,250,941,024,714,147,889,848,632,369,052,651,913,958,534,281,
526,940,253,466,653,636,240,167,485,378,203,625,370,508,799,769,041,166,254,
199,719,627,967,751,599,340,833,941,272,906,618,557,866,230,149,195,979,832,
649,134,726,595,120,304,858,023,707,233,384,467,856,998,591,888,497,322,003,
704,466,419,588,523,002,876,921,741,222,968,171,804,975,420,775,446,367,460,
802,613,190,400,751,416,185,324,582,584,282,202,836,527,206,616,372,780,386,
256,415,277,328,168,615,509,617,578,934,030,638,462,602,320,310,886,297,402,
472,748,470,697,619,606,699,770,140,274,957,143,072,245,023,642,206,205,201,
125,057,521,780,191,040,683,994,089,360,694,966,326,853,900,688,685,762,535,
282,665,317,865,540,317,892,093,572,915,547,403,640,889,171,658,404,656,934,
552,561,131,367,688,523,491,441,312,125,472,308,456,616,035,104,122,119,469,
521,669,285,591,743,295,875,662,963,418,511,821,928,968,195,018,132,189,629,
147,432,253,108,017,920,887,092,313,225,027,396,914,174,963,037,154,591,332,
510,254,036,272,866,121,217,965,060,601,195,511,963,625,324,519,799,270,139,
085,355,278,347,133,386,836,869,994,442,797,038,283,618,304,246,382,515,360,
492,727,565,971,529,240,534,161,537,965,658,636,485,416,878,470,523,210,362,
872,088,067,066,722,233,951,350,727,555,895,638,935,371,356,176,798,284,375,
337,811,641,339,484,012,493,542,323,730,785,145,768,323,250,390,660,808,380,
348,177,562,498,685,942,029,797,605,889,797,747,122,859,230,564,451,884,976,
335,415,826,520,835,656,573,148,095,168,668,377,419,666,705,064,037,467,353,
753,419,994,157,336,644,168,370,809,144,095,110,967,294,623,969,420,684,767,
651,459,031,089,926,140,940,089,753,533,040,623,490,868,833,998,741,796,047,
280,418,975,998,843,116,865,311,800,891,965,850,958,990,512,296,980,937,199,
799,365,703,287,755,246,946,631,601,629,223,286,827,339,791,049,249,338,077,
976,051,099,731,665,446,618,394,680,050,053,414,958,118,555,227,020,035,098,
780,406,612,054,327,874,465,372,486,502,827,427,958,203,322,634,570,547,208,
881,105,013,117,309,291,635,741,191,442,857,529,298,695,793,421,387,625,550,
779,100,887,718,262,130,739,108,044,575,039,917,747,888,086,207,063,945,346,
451,484,740,978,871,091,467,744,396,100,000,202,695,231,104,312,857,963,354,
295,305,523,526,836,617,679,801,094,459,260,271,069,254,321,162,003,898,198,
341,739,448,793,155,930,973,250,685,218,172,618,014,268,028,184,104,404,058,
645,664,151,628,071,639,748,490,277,921,276,460,168,020,981,808,760,531,659,
854,892,035,186,528,586,821,208,380,715,097,202,925,633,773,437,023,773,753,
986,502,352,267,869,404,632,021,582,959,932,774,187,380,859,610,247,133,340,
422,383,024,013,993,678,025,254,552,609,405,009,495,191,824,358,668,000,090,
656,121,625,684,928,688,024,357,333,632,943,234,599,932,932,082,441,745,407,
966,978,153,273,598,622,060,727,484,333,611,296,458,497,611,571,149,103,059,
423,477,300,049,109,230,253,200,788,573,359,066,076,238,623,655,256,353,872,
764,168,429,951,500,624,662,280,261,742,425,473,285,499,848,328,606,922,387,
003,256,802,789,595,526,246,259,901,313,756,921,335,782,923,712,919,224,255,
860,228,135,240,586,468,229,163,695,464,345,143,459,430,131,279,399,923,111,
644,711,225,603,807,242,069,742,654,043,321,672,825,853,478,562,163,641,258,
971,253,605,324,992,638,254,343,646,917,279,471,669,515,270,841,027,770,710,
215,351,300,434,660,480,846,517,679,592,473,423,593,363,879,554,976,636,503,
841,735,744,096,019,763,240,995,511,512,712,926,633,935,581,622,133,567,318,
475,795,456,048,687,794,931,271,597,093,706,354,947,051,526,465,558,608,714,
058,641,423,258,192,246,709,207,031,301,120,874,115,896,421,386,822,380,306,
112,390,983,588,849,889,551,172,181,830,213,911,998,655,061,828,311,276,865,
090,019,441,121,439,333,581,874,013,230,557,640,016,537,015,540,104,772,803,
178,667,262,693,468,418,190,555,840,790,898,191,779,909,399,434,930,289,044,
851,401,634,438,696,028,865,570,208,334,541,067,344,798,177,941,315,532,088,
110,555,828,031,108,808,559,483,798,789,212,020,202,635,221,318,776,384,891,
855,119,971,539,403,181,589,546,611,686,807,628,100,163,171,666,900,657,397,
317,368,438,693,505,172,945,598,263,531,500,645,601,338,041,412,428,497,270,
806,856,659,355,855,864,384,902,895,851,959,812,854,133,235,974,660,016,842,
662,212,966,151,286,894,461,310,198,251,371,935,748,169,376,195,379,834,419,
632,065,681,035,110,470,452,916,088,368,473,896,235,009,207,670,587,820,115,
348,231,617,276,241,145,398,869,249,809,290,117,810,863,795,106,719,513,658,
112,121,327,184,752,146,246,252,991,415,282,920,443,183,115,336,599,902,339,
545,824,666,863,636,893,182,475,390,335,336,435,973,421,105,839,890,605,312,
364,282,293,451,378,754,734,831,611,123,251,733,447,414,045,281,003,100,242,
790,718,845,320,450,051,333,506,205,287,696,343,117,696,696,718,424,507,792,
633,356,082,105,177,502,068,704,365,170,492,604,933,940,214,780,752,584,319,
417,361,683,753,629,413,738,570,162,115,837,406,850,419,131,600,818,773,373,
296,336,002,605,585,094,759,921,444,458,518,814,480,646,753,858,842,346,483,
478,247,809,957,388,067,485,456,773,254,812,678,451,210,148,882,564,305,282,
080,484,807,504,601,172,584,265,608,795,548,865,599,218,696,723,434,020,014,
275,638,442,980,814,188,445,860,682,185,765,322,579,859,585,336,718,065,744,
764,465,302,051,957,663,023,768,887,536,058,067,908,255,101,527,652,376,867,
889,563,809,835,463,168,125,911,847,214,040,300,274,971,179,985,835,155,125,
823,839,358,954,173,905,364,930,801,237,644,855,596,155,258,566,263,431,268,
689,559,178,963,028,105,122,398,463,539,268,070,557,910,031,335,711,275,289,
639,605,518,629,855,598,224,039,610,653,884,222,681,959,331,257,907,298,971,
385,136,289,585,369,934,084,774,769,802,636,093,116,526,783,277,153,044,002,
902,034,337,129,415,348,405,270,768,956,629,318,613,038,063,109,857,282,503,
937,377,313,398,156,626,622,746,197,874,853,295,293,876,432,495,732,270,497,
364,611,886,291,838,432,064,031,706,753,344,073,641,661,666,209,898,420,446,
694,219,276,935,576,263,368,261,106,834,422,464,442,303,677,341,094,025,905,
667,926,733,489,535,309,667,251,313,230,358,880,826,010,866,776,038,718,745,
503,275,594,265,089,913,638,185,509,355,438,161,198,887,906,732,270,261,003,
894,651,508,630,272,408,535,310,835,838,238,362,727,447,639,434,291,291,998,
594,731,801,994,914,357,271,283,457,562,886,235,396,453,073,544,667,442,802,
677,622,189,904,728,825,231,463,891,546,942,112,453,791,990,766,536,998,524,
163,080,490,477,740,082,226,518,218,479,891,900,988,921,545,405,319,003,001,
511,409,128,606,459,079,708,514,888,224,700,874,833,493,880,406,643,781,238,
150,730,112,720,317,316,354,038,931,658,631,817,413,957,956,749,492,502,074,
362,165,584,002,978,914,733,059,839,101,272,263,549,424,546,984,543,536,984,
689,457,050,222,626,714,632,885,178,316,595,164,266,581,682,724,435,638,823,
674,062,183,352,349,632,098,101,570,262,100,307,963,948,577,043,123,631,507,
842,217,229,197,177,236,174,604,502,563,964,759,382,814,394,799,767,202,577,
790,083,712,198,010,083,231,041,910,758,503,144,053,616,348,997,297,082,080,
992,761,640,679,445,167,620,689,759,884,675,493,967,570,765,263,628,092,799,
619,958,125,900,848,979,295,245,846,129,237,819,630,552,691,504,223,340,356,
120,240,436,515,184,783,394,029,829,832,461,162,689,923,346,205,993,274,779,
831,284,152,199,840,857,494,243,026,283,177,364,980,179,019,220,512,318,879,
178,343,485,884,077,814,881,240,828,109,810,150,438,612,846,911,236,424,903,
819,450,603,467,409,172,879,784,241,734,487,211,426,002,269,818,494,825,348,
030,819,117,122,005,223,482,652,368,456,026,569,079,165,445,732,276,574,759,
412,400,718,667,692,673,560,446,423,172,502,522,150,928,503,876,629,656,294,
929,433,931,214,775,924,563,669,087,073,327,596,520,918,958,553,099,108,321,
356,052,009,706,146,869,152,727,095,734,154,579,383,826,351,829,018,924,198,
175,199,471,363,701,292,886,974,681,193,558,344,770,435,613,632,889,056,143,
831,707,515,421,946,423,872,411,186,291,652,571,177,963,886,262,039,857,693,
341,579,461,723,051,594,177,242,977,762,585,591,586,623,740,732,441,546,243,
172,463,600,598,021,359,633,232,114,048,623,875,069,546,011,719,194,865,930,
510,595,501,824,808,996,822,315,469,566,748,046,370,191,482,541,472,666,509,
818,887,936,287,478,172,108,419,431,114,642,004,999,623,655,988,134,641,820,
995,050,128,232,353,508,709,967,465,728,402,504,216,922,073,744,357,109,029,
837,801,481,061,072,434,903,636,267,579,690,882,448,977,536,315,371,670,746,
762,198,325,308,621,648,065,638,409,182,082,099,487,707,727,667,680,087,172,
117,225,111,005,520,986,214,167,764,593,620,907,865,469,949,566,343,396,291,
186,974,737,596,544,407,127,221,788,925,592,521,417,707,081,975,928,617,895,
776,512,594,070,926,267,284,801,495,362,818,443,180,869,954,317,720,913,464,
680,894,586,738,957,930,570,945,552,743,402,887,138,184,481,797,437,233,873,
345,248,367,991,994,997,297,645,691,068,016,932,529,844,077,928,987,311,381,
284,993,499,847,929,088,583,058,130,560,122,339,817,747,180,244,930,197,342,
907,928,165,606,258,878,550,219,217,811,308,165,028,658,917,570,856,046,172,
520,750,317,005,537,978,371,620,998,198,322,054,000,283,191,368,466,931,394,
650,119,427,510,455,301,837,375,080,859,888,358,661,351,913,220,125,081,431,
307,686,577,101,806,702,820,061,510,486,237,741,840,661,732,520,000,586,862,
818,633,186,692,184,580,686,817,213,728,728,510,957,894,962,021,426,740,618,
187,530,691,399,693,563,811,040,186,252,881,630,979,660,479,771,815,254,275,
339,049,642,201,934,624,773,831,464,463,146,915,138,945,585,179,632,915,337,
541,393,621,489,593,728,648,142,543,885,309,801,071,988,637,822,329,672,682,
584,965,133,109,553,346,114,696,772,162,148,764,262,683,445,205,484,091,673,
623,732,052,962,118,862,320,524,866,229,198,587,456,938,399,290,708,349,225,
950,060,601,468,596,092,882,387,486,523,578,225,597,111,520,345,494,581,100,
583,589,368,265,493,721,460,446,954,620,263,163,689,773,605,075,629,907,422,
166,557,198,528,549,348,395,304,931,315,476,670,859,154,788,536,730,436,847,
979,377,435,758,524,084,557,303,107,185,053,006,694,803,886,969,671,987,349,
705,988,422,158,526,404,190,543,563,382,489,430,173,833,394,092,699,052,598,
216,470,992,936,062,342,100,184,709,115,954,212,905,598,636,944,965,691,112,
572,062,296,953,431,213,900,851,593,929,734,613,706,478,962,215,429,416,501,
184,027,296,682,940,396,766,128,036,194,967,784,052,432,098,365,734,260,814,
711,285,747,144,211,802,499,278,503,261,055,032,043,715,050,003,041,657,489,
939,187,186,977,543,511,611,960,220,529,086,507,834,183,330,074,954,395,054,
532,880,611,317,816,413,328,038,449,759,708,991,893,582,966,668,334,435,934,
814,661,250,349,709,690,553,543,345,260,677,141,165,443,945,063,902,086,818,
600,879,853,898,743,859,264,347,823,132,697,176,936,942,411,879,782,815,223,
685,497,691,960,927,412,291,425,904,944,887,311,628,776,043,868,916,910,136,
328,527,034,875,467,451,045,658,778,494,312,753,726,635,023,457,735,352,485,
243,506,394,356,214,803,323,586,244,117,909,006,099,601,666,485,583,616,720,
320,251,861,149,859,752,155,183,734,750,980,024,235,577,360,785,858,788,551,
001,025,253,408,671,667,486,982,570,864,995,023,931,235,949,057,468,116,062,
660,821,251,712,287,718,187,106,123,763,053,770,624,922,523,439,705,342,475,
337,749,416,287,793,200,160,494,002,352,531,104,257,128,830,140,061,406,028,
443,310,245,200,775,568,566,887,477,846,860,170,358,152,570,565,649,168,290,
431,350,029,895,829,061,505,063,761,678,186,520,882,525,016,662,826,941,719,
902,261,528,008,128,584,489,607,306,202,695,110,682,673,960,475,759,406,303,
064,727,883,311,255,366,975,553,107,262,754,908,620,094,203,995,066,459,072,
929,860,869,023,355,312,910,600,604,032,105,740,267,397,361,893,413,147,650,
661,511,384,537,674,926,690,929,479,112,783,249,365,193,522,955,683,916,967,
014,346,884,253,787,796,822,090,677,790,908,336,892,203,100,180,273,371,419,
572,337,951,893,253,298,543,263,264,746,470,036,245,411,034,452,401,777,890,
761,295,105,983,862,980,899,619,166,487,648,797,073,400,619,716,764,649,087,
932,129,620,499,022,726,616,837,303,075,707,460,350,402,352,632,973,448,033,
034,097,363,321,323,648,234,305,721,113,861,397,917,487,292,842,771,742,291,
414,788,378,693,763,475,164,145,500,307,893,012,897,061,874,685,531,395,078,
898,815,665,983,093,640,522,166,354,983,015,987,804,905,656,158,393,004,128,
233,512,361,087,013,301,099,380,034,878,346,818,620,059,378,358,423,060,065,
954,193,911,155,817,495,175,494,400,514,522,567,230,136,601,266,485,800,121,
539,195,580,763,445,161,610,646,703,120,066,350,698,938,693,325,497,141,698,
001,912,265,002,385,378,461,287,886,591,246,632,364,106,128,889,806,727,388,
328,067,615,866,640,269,746,694,038,435,987,351,247,784,234,303,726,058,442,
996,597,536,337,777,928,486,869,870,352,905,582,450,153,063,201,004,933,927,
522,345,951,837,520,978,432,111,114,530,239,173,707,437,932,615,041,416,282,
102,300,199,361,713,797,324,994,718,215,687,500,811,427,941,071,025,845,375,
860,429,437,092,829,006,964,975,635,651,999,304,259,848,329,681,550,545,243,
041,690,999,300,378,922,766,955,616,462,972,589,984,515,382,817,424,648,969,
603,304,507,581,374,130,543,917,470,201,545,069,346,321,978,262,044,261,812,
092,244,009,054,476,062,614,102,729,476,897,548,350,731,869,224,729,634,528,
472,880,191,693,722,951,469,016,109,180,685,563,603,653,018,805,096,503,534,
743,077,801,945,656,398,915,817,667,194,887,543,283,497,160,356,599,628,794,
008,442,337,295,421,137,344,302,207,966,428,813,547,510,606,983,054,816,741,
306,282,622,527,303,795,183,596,537,117,160,241,258,770,923,254,039,371,955,
809,466,847,543,390,310,491,967,951,075,739,617,693,682,006,910,143,437,926,
366,237,569,345,934,447,528,312,797,376,592,079,350,287,644,742,030,737,135,
220,896,552,029,160,897,924,046,287,585,823,256,887,818,016,277,616,857,635,
640,398,097,294,791,162,949,407,277,887,112,670,584,183,826,702,490,320,474,
918,854,113,705,097,132,356,710,188,912,647,470,417,094,058,593,939,475,135,
736,381,131,777,852,054,587,544,974,222,145,088,764,932,663,112,052,987,151,
229,509,714,735,375,719,344,504,642,798,821,793,433,785,870,119,477,481,239,
975,614,692,075,354,951,941,598,489,123,430,555,845,728,521,466,960,863,108,
039,795,014,343,083,325,891,991,570,816,438,253,782,310,515,585,338,316,084,
783,350,648,237,757,211,589,054,094,416,687,282,741,818,628,804,532,165,531,
430,920,556,868,228,266,939,712,535,436,654,505,066,333,021,927,873,768,136,
167,108,874,681,371,746,338,837,494,472,506,209,459,852,965,861,454,971,286,
043,016,384,878,761,454,986,122,926,560,615,502,633,108,263,002,239,458,511,
601,343,220,361,302,987,616,428,846,913,472,365,358,813,567,650,935,924,202,
801,853,178,494,147,472,443,646,970,950,947,939,431,609,954,598,379,971,306,
715,869,827,787,511,382,076,898,152,502,660,817,097,735,694,874,420,262,379,
876,317,412,799,945,541,690,227,402,427,720,789,442,677,087,581,263,747,322,
842,777,305,813,573,600,710,336,835,661,060,791,055,309,765,468,462,922,465,
477,754,480,697,872,501,793,357,246,785,254,396,268,917,292,091,694,060,743,
719,006,504,932,721,775,024,266,615,367,020,807,247,885,230,581,826,034,967,
454,295,756,298,922,398,963,126,129,335,539,016,175,895,294,786,920,365,074,
309,193,214,130,578,351,836,981,092,101,509,645,407,148,875,090,029,431,626,
972,851,390,791,995,283,400,374,064,919,696,699,542,806,264,195,258,199,293,
546,333,357,751,070,000,330,329,143,673,737,896,703,481,715,320,313,356,635,
612,203,677,425,980,869,006,693,565,405,647,200,451,975,821,721,204,718,718,
444,521,933,440,376,155,287,453,996,340,323,139,675,760,527,026,017,919,294,
451,731,467,385,882,090,966,202,764,056,645,151,157,188,860,498,224,655,550,
668,932,127,812,450,038,565,615,060,122,867,144,580,080,894,903,211,201,110,
125,226,714,023,486,236,833,963,271,142,620,731,862,450,858,243,262,176,888,
055,961,791,902,617,442,350,038,325,371,184,652,644,377,264,891,987,728,270,
516,774,372,093,731,979,825,729,370,746,179,132,677,404,328,202,551,308,646,
932,030,618,240,077,508,833,021,058,397,542,173,162,438,010,852,911,253,692,
079,331,553,824,467,633,145,882,778,433,361,249,518,566,506,400,137,047,678,
907,643,428,622,915,745,102,769,861,616,297,349,625,491,755,089,136,319,680,
559,259,116,395,107,134,844,201,751,381,548,871,636,057,943,935,767,296,862,
618,107,256,497,080,104,694,801,953,714,275,276,969,026,670,282,907,378,676,
340,888,565,888,828,006,618,541,158,499,644,012,354,871,204,413,187,821,848,
500,287,394,075,169,753,706,843,520,436,981,509,415,100,564,799,810,136,740,
620,299,711,570,675,812,262,305,571,267,687,218,563,280,002,350,812,291,415,
044,138,388,079,092,824,852,319,211,297,891,679,834,914,372,383,892,693,774,
324,595,536,421,652,903,174,479,220,085,762,139,677,889,704,483,822,772,657,
571,571,861,733,867,042,331,539,096,328,883,585,665,480,522,543,258,239,368,
232,247,794,558,281,276,792,518,226,402,357,233,713,460,091,231,506,846,883,
765,410,906,636,241,909,787,031,746,027,612,453,143,586,396,347,512,244,434,
773,773,076,544,295,434,044,029,376,137,506,325,118,542,237,709,178,227,157,
313,137,424,427,008,523,712,673,630,086,132,200,822,923,497,008,382,977,656,
467,972,459,766,619,929,510,398,215,327,231,837,462,385,137,347,643,533,887,
456,829,422,687,571,673,501,695,863,260,859,371,185,884,011,781,097,154,166,
603,736,026,363,864,876,317,124,102,667,636,260,978,265,586,798,675,878,438,
479,517,300,821,010,599,074,912,881,509,674,116,945,663,559,586,083,756,575,
100,136,210,238,455,821,450,899,608,338,836,732,924,585,324,655,433,374,722,
230,581,604,532,256,324,864,705,084,019,335,948,171,525,848,566,218,050,198,
276,691,632,689,138,674,733,272,102,454,407,430,799,990,775,908,663,308,297,
769,151,129,561,278,151,850,187,692,759,835,094,719,525,515,360,439,381,295,
810,951,034,977,222,454,811,098,813,531,495,318,039,214,019,684,554,913,448,
745,602,054,180,878,016,642,584,584,114,744,904,038,223,263,293,563,307,817,
445,182,670,539,806,583,850,726,518,232,333,566,038,558,003,082,447,556,417,
673,411,914,043,176,829,839,851,529,148,737,514,972,099,113,440,813,769,555,
706,960,000,205,784,379,828,267,275,141,754,452,916,795,679,302,294,630,051,
358,241,448,288,746,918,971,272,210,619,697,141,755,480,976,013,426,562,615,
469,822,026,455,719,053,329,582,615,222,886,904,795,066,696,401,354,150,514,
974,986,062,226,191,635,553,432,965,502,227,581,828,290,096,434,845,108,489,
206,342,312,359,610,373,278,549,665,775,483,317,686,835,333,948,758,465,381,
151,433,006,732,501,668,346,741,506,401,857,107,797,281,808,445,921,585,523,
933,465,758,690,654,368,800,436,175,424,212,358,582,145,531,893,055,807,354,
084,868,567,282,446,464,992,869,896,266,821,262,378,871,885,073,786,204,187,
363,403,499,057,685,668,220,514,736,109,517,452,371,601,086,848,684,207,313,
555,445,832,868,803,503,834,890,239,361,517,114,057,436,689,203,224,266,316,
683,441,306,544,521,181,043,386,277,881,052,971,327,124,247,222,166,056,565,
495,012,288,790,713,868,207,015,596,954,165,353,541,400,679,969,714,189,134,
906,439,234,274,269,101,582,042,555,931,520,267,851,566,370,605,348,426,178,
811,550,820,685,773,814,759,708,460,513,890,570,306,901,080,011,272,742,578,
455,492,496,972,721,740,374,832,316,492,219,278,634,799,145,908,996,948,407,
366,299,554,116,080,673,185,308,071,882,682,079,643,171,517,446,141,564,438,
885,294,585,842,482,775,165,394,503,499,631,179,677,644,669,135,576,597,856,
433,201,432,224,650,972,993,751,998,710,979,591,635,716,520,260,594,802,770,
259,527,604,145,245,987,217,081,233,514,085,926,347,192,749,806,934,653,228,
197,619,123,832,173,807,022,301,217,805,614,210,069,462,879,701,505,336,544,
753,321,376,378,176,130,031,139,175,977,567,313,793,639,350,544,712,495,766,
382,574,492,155,539,037,820,570,249,304,625,794,408,294,219,971,897,608,383,
442,113,865,209,525,609,660,115,967,772,261,068,657,183,266,366,994,295,901,
480,677,240,451,638,767,015,804,645,408,378,453,550,816,122,109,211,064,480,
177,228,429,064,177,668,745,730,546,199,603,811,237,843,617,258,477,118,854,
342,183,806,108,393,680,804,532,466,197,899,537,948,592,084,107,554,531,473,
626,381,508,082,168,836,979,222,074,856,771,751,538,756,019,429,281,020,247,
748,651,384,240,037,337,577,313,432,121,105,282,531,055,314,185,658,186,091,
809,409,640,887,529,300,510,475,318,165,547,533,297,234,449,594,788,676,972,
284,018,881,065,542,767,466,496,935,726,418,775,120,509,752,332,654,014,966,
069,424,442,905,432,944,991,603,957,264,757,309,781,463,777,205,662,012,141,
395,807,403,388,596,998,121,609,812,586,272,999,889,628,133,365,374,399,569,
621,780,211,862,950,557,978,152,085,459,530,643,080,419,538,041,022,613,534,
338,664,106,020,584,628,201,783,521,973,963,378,864,971,051,559,199,411,118,
132,273,523,218,461,666,794,234,077,333,060,302,117,922,352,312,383,705,460,
333,878,486,215,984,845,164,637,901,712,688,176,229,038,549,137,703,549,992,
827,432,133,148,980,781,687,399,816,581,765,070,281,552,374,337,038,746,606,
021,740,664,283,668,589,952,457,130,053,817,836,844,417,269,678,125,246,972,
118,019,004,536,108,629,265,884,419,029,539,632,047,738,716,397,584,063,835,
840,060,676,300,839,075,784,878,776,651,502,300,875,036,568,961,807,752,303,
240,052,661,955,802,988,512,167,908,507,312,170,032,997,988,945,448,398,298,
354,807,155,838,125,349,414,309,658,323,015,181,615,143,206,906,627,117,237,
764,048,390,091,017,726,285,785,632,034,533,049,140,598,871,724,396,786,191,
701,710,828,033,547,278,002,552,197,059,196,044,450,853,221,332,895,616,762,
078,845,772,554,860,303,361,155,248,782,836,124,375,430,501,863,174,891,383,
021,875,013,524,175,477,249,212,667,500,336,283,096,873,432,128,279,835,053,
588,771,214,349,562,832,319,249,442,073,857,068,075,856,015,419,407,088,997,
579,306,966,871,418,279,539,440,130,021,268,163,093,195,279,284,021,754,738,
996,265,691,281,290,246,495,398,960,964,057,183,759,450,179,194,732,436,454,
168,733,461,803,491,536,011,637,576,101,145,741,569,832,824,939,632,136,646,
903,793,054,753,189,940,599,513,637,666,785,353,032,229,552,948,603,839,050,
514,118,980,095,115,377,729,374,494,070,202,682,974,815,049,283,798,504,355,
742,776,184,011,211,518,366,371,429,597,979,198,322,558,926,784,512,894,396,
334,439,589,460,167,084,117,726,794,418,622,616,027,167,420,684,820,944,308,
510,589,990,222,678,413,260,856,605,121,058,774,624,863,794,508,831,443,936,
895,669,909,725,251,355,135,976,057,150,736,045,890,293,177,387,479,781,885,
003,494,154,179,974,546,887,254,331,925,663,630,914,505,721,091,043,906,666,
632,932,725,514,773,980,456,996,095,339,056,699,981,444,079,877,063,255,691,
720,890,242,971,011,427,395,772,602,876,610,379,090,429,185,646,979,539,730,
516,731,363,577,601,203,944,899,152,789,780,559,516,076,403,649,421,839,107,
491,257,719,278,674,392,018,814,179,159,645,093,282,829,738,770,675,221,573,
577,209,878,195,051,583,481,774,806,716,734,111,034,516,821,194,187,199,123,
471,171,954,111,966,419,678,608,589,776,278,321,104,875,575,310,267,843,910,
792,256,731,679,633,366,334,263,098,177,580,981,507,905,411,525,244,536,940,
570,605,775,427,630,712,729,967,878,794,154,268,390,206,201,288,212,683,632,
581,349,148,151,157,336,126,805,380,299,183,920,583,828,992,387,824,863,680,
935,131,100,651,682,369,865,830,121,971,700,027,750,378,429,308,002,687,536,
576,074,275,185,814,908,632,029,020,163,349,066,238,077,853,901,549,989,203,
325,762,377,404,456,036,213,347,102,607,902,695,445,944,458,491,465,584,049,
047,196,133,784,970,641,377,896,253,803,127,959,346,216,899,925,575,542,711,
948,828,186,372,172,875,342,853,122,379,835,664,052,880,414,176,030,506,828,
062,926,736,436,075,203,162,514,704,687,058,035,350,277,169,588,827,237,878,
135,329,269,154,387,633,056,250,133,498,793,992,640,208,099,755,714,296,200,
171,776,533,707,924,320,536,861,064,218,813,603,635,282,240,026,768,545,137,
715,448,907,787,280,249,526,005,330,765,685,729,171,155,267,771,955,643,997,
048,011,730,300,499,116,517,784,971,567,917,638,994,099,863,540,530,739,726,
870,324,974,111,440,315,789,169,605,926,427,275,301,451,825,559,839,723,223,
701,925,380,342,390,896,602,056,188,190,751,138,709,607,048,649,432,727,526,
968,205,639,779,248,100,887,977,323,755,233,246,949,162,209,985,933,718,280,
578,903,831,656,329,858,342,871,316,076,380,952,505,349,367,785,710,119,643,
620,963,434,241,172,493,917,253,728,270,514,817,067,846,862,509,764,083,906,
827,131,056,587,763,977,788,342,419,779,789,847,259,703,080,516,002,590,551,
210,221,406,778,903,832,641,043,401,766,831,257,930,353,678,098,943,731,702,
783,796,510,073,750,140,964,554,524,142,413,606,186,443,980,224,337,551,910,
825,246,021,599,995,611,365,281,791,071,773,510,756,246,653,129,939,800,536,
487,779,590,229,766,213,002,156,519,166,034,807,666,662,729,531,477,072,360,
600,665,195,723,978,257,664,727,888,442,050,258,801,308,960,754,132,224,742,
647,607,173,948,066,430,836,414,804,922,614,913,099,793,802,485,042,168,390,
907,660,144,546,502,878,214,274,541,080,021,696,831,071,142,394,887,326,537,
392,736,724,705,245,979,997,696,494,794,528,729,571,031,159,570,116,476,554,
879,105,071,017,150,182,214,042,677,654,771,662,744,184,386,379,615,235,011,
958,754,620,757,958,637,074,990,583,501,351,418,125,762,999,222,553,562,326,
796,879,424,764,820,301,760,221,539,394,624,379,350,010,879,901,633,165,638,
806,005,003,928,576,330,090,379,086,578,553,285,362,371,124,107,831,897,661,
907,358,639,425,352,152,738,910,254,184,599,407,282,190,596,530,589,378,683,
189,549,652,893,308,195,742,833,418,005,938,543,556,463,397,204,973,783,178,
187,715,384,325,034,930,976,021,695,056,336,676,241,690,323,699,604,758,216,
736,849,798,171,841,285,855,863,200,800,656,974,192,052,950,553,227,472,330,
905,121,941,852,437,496,729,716,111,612,248,420,029,775,059,329,631,562,451,
428,927,650,053,998,128,085,556,122,356,013,031,999,921,235,498,820,538,757,
667,427,142,825,416,444,264,302,264,329,420,305,939,176,272,003,580,544,674,
215,617,984,575,903,675,120,867,689,955,193,763,325,810,820,255,338,811,506,
477,138,346,222,039,578,917,113,771,351,138,417,862,842,910,727,617,362,472,
157,613,536,259,068,223,387,418,797,314,462,664,618,663,861,190,063,525,782,
593,996,021,030,895,226,384,659,578,567,014,041,842,526,254,748,711,911,536,
764,599,662,177,030,504,111,201,390,006,645,808,682,578,006,422,508,222,281,
608,735,088,008,687,373,255,995,657,557,542,470,910,261,030,346,759,920,239,
878,142,383,157,855,091,346,946,824,735,055,469,045,939,208,947,747,547,943,
008,470,760,757,827,157,115,394,430,912,608,208,073,620,867,046,441,430,242,
225,659,471,149,127,454,167,983,746,043,767,109,773,613,746,377,578,216,544,
522,164,950,797,491,017,677,448,396,098,926,247,662,033,609,957,908,325,353,
204,022,031,109,240,065,783,871,485,000,004,162,687,621,970,602,720,000,171,
978,249,087,950,031,657,059,247,051,944,208,840,540,655,461,503,718,033,155,
639,056,343,404,621,510,147,313,214,260,074,765,252,601,802,733,495,976,488,
017,309,277,718,584,598,645,093,688,664,697,734,244,563,071,278,522,264,803,
071,899,772,631,739,077,009,788,240,212,951,063,023,868,682,969,765,771,152,
839,233,704,475,254,227,771,456,201,589,415,552,296,356,193,979,055,707,032,
294,865,360,146,569,618,594,490,390,792,435,685,611,401,973,734,240,802,615,
641,350,911,234,527,609,355,025,499,855,463,623,124,262,730,451,367,877,314,
691,945,431,902,058,835,795,108,974,062,892,534,949,144,357,766,468,498,972,
100,295,112,613,344,471,169,968,345,124,264,797,591,326,001,616,740,078,607,
470,447,435,163,228,646,692,790,049,738,149,356,171,102,325,379,698,623,090,
377,232,954,360,150,789,273,019,550,265,045,264,937,926,535,746,223,191,573,
907,460,547,037,298,740,794,141,769,861,244,917,680,535,381,287,957,334,443,
943,776,393,010,453,296,732,210,483,106,310,505,714,698,483,086,617,541,071,
620,796,313,512,638,360,366,238,386,882,708,939,485,132,774,555,608,300,454,
601,316,532,959,641,656,026,364,355,813,562,632,521,223,148,017,858,954,786,
151,099,534,703,582,572,300,849,303,299,629,785,612,213,916,984,460,354,043,
615,807,724,080,315,911,048,663,257,540,785,619,845,225,467,597,411,951,488,
774,521,315,224,685,014,692,150,388,500,133,185,972,319,754,067,140,522,555,
368,587,546,920,432,006,221,005,294,741,034,068,058,944,421,978,336,426,628,
683,443,641,643,454,416,468,666,048,135,167,598,530,676,716,173,988,270,940,
615,052,769,549,294,611,371,511,269,876,511,247,732,555,197,665,610,682,552,
729,275,405,811,040,267,738,441,089,207,685,645,929,561,288,452,649,516,219,
157,365,460,235,935,155,309,015,582,015,865,685,215,518,905,174,551,546,166,
894,339,605,403,702,077,158,910,627,153,501,900,208,394,767,617,483,241,782,
906,367,751,366,572,279,241,245,498,128,310,916,391,062,930,956,290,806,359,
564,045,460,198,455,741,846,067,251,281,674,824,648,269,046,880,794,898,728,
358,477,330,106,604,268,755,072,625,904,305,557,263,123,039,354,902,627,350,
512,498,255,242,122,415,871,240,934,018,649,690,095,313,916,860,117,795,273,
773,794,456,026,826,902,350,697,921,367,244,930,749,848,717,477,773,927,314,
090,797,208,846,925,586,183,781,322,700,904,051,979,314,186,208,409,132,848,
638,468,024,424,578,333,845,674,234,525,044,897,765,318,908,758,724,258,087,
330,468,606,091,313,718,714,956,047,754,397,818,052,008,824,707,284,759,980,
094,640,271,823,798,409,961,417,673,341,301,738,103,267,765,574,763,839,618,
846,344,408,338,884,557,328,037,793,856,732,077,748,100,010,438,223,338,401,
000,829,406,943,386,571,862,824,258,750,791,318,453,111,538,739,577,175,025,
383,848,573,452,293,558,960,771,531,365,453,506,375,087,775,751,726,914,526,
839,907,764,987,111,297,871,355,193,226,674,063,462,536,607,032,411,654,002,
737,194,644,238,288,284,917,134,042,952,931,477,192,275,003,928,750,317,003,
866,694,210,773,678,539,879,644,299,004,693,721,804,502,140,110,189,668,172,
447,440,326,177,202,768,391,720,895,753,242,669,897,912,835,624,329,144,620,
005,950,183,384,216,340,538,273,473,870,689,294,484,159,403,322,519,699,299,
766,385,248,331,316,440,300,892,405,877,386,022,892,223,608,722,342,663,983,
887,324,884,175,659,036,859,591,813,740,726,257,523,546,567,398,210,154,322,
163,650,240,108,248,736,139,014,418,335,497,056,228,945,052,145,191,884,445,
068,404,876,212,213,033,055,787,483,601,307,308,863,571,040,015,316,173,179,
770,436,670,159,502,061,579,255,387,387,777,042,073,225,401,885,396,459,766,
953,148,254,707,999,369,800,811,958,234,942,484,659,618,631,149,809,175,742,
651,855,218,443,256,207,736,525,767,999,613,464,675,811,189,892,834,580,929,
813,536,534,029,124,857,690,361,765,829,049,988,982,491,944,293,474,027,296,
298,650,361,179,608,964,088,888,483,373,894,598,181,584,190,522,981,509,973,
202,683,790,957,759,339,754,171,678,238,634,662,197,979,903,704,923,227,568,
305,312,152,747,989,618,860,777,519,424,000,336,432,306,039,956,412,166,833,
464,467,570,013,539,857,727,644,229,748,487,054,930,162,228,792,011,730,281,
902,468,632,373,094,532,994,403,038,701,140,757,202,541,215,544,828,698,579,
215,270,340,387,814,007,912,778,292,542,084,686,768,737,874,384,335,282,261,
519,172,297,142,801,420,292,993,475,093,448,570,826,331,508,395,629,275,576,
515,864,485,530,936,235,017,500,223,296,600,260,686,087,959,619,267,134,299,
745,451,023,595,237,815,171,538,242,148,327,688,578,955,719,840,237,152,902,
640,843,533,720,558,214,025,997,061,453,981,772,589,550,267,713,453,341,182,
420,482,359,474,863,162,849,209,592,919,212,906,116,482,465,943,075,674,088,
752,736,351,700,817,195,200,316,221,577,313,473,637,287,018,360,342,443,582,
017,276,831,364,226,621,732,393,016,913,973,625,435,333,451,461,064,766,390,
369,541,654,679,083,338,899,132,672,261,470,606,767,037,762,620,149,581,656,
142,444,646,493,727,909,263,036,894,136,278,719,685,382,819,940,585,277,250,
964,232,143,532,870,081,500,650,490,741,519,315,323,776,037,232,616,049,997,
249,819,387,925,798,439,910,801,442,386,632,191,017,495,179,673,739,334,202,
725,038,684,989,280,697,297,860,617,175,595,750,449,063,198,937,493,406,815,
522,828,705,493,343,501,648,047,602,005,118,669,846,799,865,998,849,343,251,
637,534,029,994,551,232,708,851,472,202,658,811,898,127,054,348,394,591,672,
118,385,931,926,364,263,031,139,368,660,516,313,124,676,358,155,478,810,607,
245,843,557,410,475,577,996,223,768,462,721,078,970,312,820,252,632,680,380,
507,789,266,092,260,820,713,977,092,493,257,301,458,681,676,484,203,381,315,
158,382,898,310,613,394,813,803,537,968,271,736,132,849,644,601,845,801,218,
006,852,936,702,628,065,248,514,492,459,515,073,518,380,759,036,734,923,393,
415,813,221,490,874,320,437,430,863,436,522,412,091,549,030,415,577,574,363,
191,116,459,889,078,454,467,062,520,234,762,677,706,675,365,149,832,316,603,
986,345,348,616,390,795,156,228,754,832,212,754,030,051,614,736,816,205,555,
408,624,082,470,000,440,247,029,030,555,197,387,679,249,186,276,755,270,909,
786,751,323,331,539,943,216,365,444,655,303,707,761,038,459,040,231,125,464,
524,243,524,536,010,734,826,663,445,446,194,692,210,930,324,662,447,990,335,
202,550,217,771,878,866,801,427,212,666,852,431,324,656,166,690,956,032,688,
942,406,071,912,701,013,526,904,385,037,009,792,245,854,521,855,009,709,754,
876,670,628,893,258,109,977,839,962,761,578,069,167,224,114,301,274,895,993,
033,068,400,748,481,511,376,689,221,892,200,037,938,152,296,467,930,934,234,
035,884,492,250,645,852,808,082,543,956,227,110,594,537,762,279,135,078,529,
007,674,536,784,866,499,118,984,852,145,240,411,178,895,104,435,480,563,105,
821,955,716,120,200,007,816,554,066,333,725,837,613,983,924,267,287,510,415,
967,921,095,109,816,088,852,813,571,724,361,965,526,492,419,908,002,563,156,
157,851,037,746,877,488,099,999,509,765,291,856,038,881,016,913,701,160,176,
542,724,942,155,132,820,324,601,132,525,320,907,294,817,336,829,603,178,035,
818,079,681,325,526,102,446,665,104,333,237,615,031,763,472,293,593,090,744,
506,279,210,268,405,356,561,219,290,422,737,547,296,564,510,729,387,286,369,
135,587,230,371,170,166,006,897,024,270,153,882,281,788,017,936,928,542,653,
084,769,091,808,092,013,768,190,033,111,043,881,033,485,073,307,255,482,807,
340,342,741,868,518,634,058,961,010,511,891,965,033,142,052,971,748,671,180,
464,522,559,531,131,575,123,276,787,883,899,228,255,779,244,255,145,036,522,
651,571,377,697,250,034,433,103,774,089,278,666,268,584,968,014,262,346,592,
781,641,146,617,065,601,307,522,304,376,970,074,107,867,676,632,724,640,391,
543,552,622,583,321,898,856,131,333,254,838,942,232,537,881,933,727,329,839,
394,388,322,040,672,648,831,218,219,723,445,513,243,253,019,397,645,897,236,
225,387,164,421,175,191,584,692,826,693,366,373,644,068,015,404,140,628,262,
616,860,001,828,967,116,130,684,271,527,230,877,196,489,184,672,941,406,989,
342,839,144,030,155,599,834,441,368,104,057,169,226,733,460,517,475,857,054,
929,662,002,834,019,442,308,217,863,896,009,503,492,788,007,791,469,379,881,
579,715,897,846,159,022,759,964,158,956,210,283,607,508,900,042,886,446,474,
173,433,756,023,017,537,683,768,537,212,041,993,088,377,193,917,382,630,244,
967,255,153,143,402,909,504,493,780,138,775,373,507,797,307,368,768,037,830,
841,090,030,481,412,059,919,473,430,824,847,442,611,756,231,471,577,971,880,
622,744,679,537,780,415,581,083,117,690,055,872,988,806,247,326,041,469,440,
145,136,609,360,016,481,826,958,405,475,396,842,180,470,473,468,316,517,731,
740,315,987,817,619,969,177,731,932,156,815,726,967,955,861,752,013,913,193,
426,589,791,075,037,986,803,934,378,187,303,866,072,838,636,804,467,664,807,
831,615,999,369,927,376,542,858,306,343,012,610,395,316,589,311,943,061,061,
427,480,061,742,541,610,488,930,054,245,679,438,458,605,759,591,195,285,567,
209,994,657,898,744,120,402,572,589,140,686,388,758,365,638,199,087,040,264,
173,201,930,732,748,501,704,020,631,299,059,682,398,757,172,903,911,705,444,
672,228,998,791,588,801,099,461,933,499,568,006,934,091,805,324,905,752,842,
937,563,174,619,928,909,319,766,506,978,674,253,455,613,850,492,117,599,630,
089,842,612,581,350,113,112,991,265,734,760,127,349,961,213,667,621,651,441,
415,319,539,576,219,185,633,371,426,029,393,939,199,455,808,985,777,770,235,
861,542,329,930,045,321,459,874,983,642,148,229,409,464,450,739,781,732,133,
151,011,681,808,855,524,464,209,028,784,032,790,666,780,767,402,377,217,758,
634,739,887,421,506,096,170,394,352,183,580,064,952,919,722,912,564,741,775,
881,766,480,299,977,133,420,346,201,192,399,522,870,619,195,777,364,718,246,
779,775,853,954,245,838,450,299,803,985,928,384,839,951,685,003,669,509,792,
017,397,353,216,736,730,342,645,553,656,491,729,588,027,302,424,944,302,898,
753,528,351,809,821,919,605,544,324,638,999,482,408,954,190,750,200,041,876,
759,713,727,205,687,935,166,909,002,769,671,564,133,414,594,489,979,066,883,
852,679,908,539,306,263,394,700,791,971,978,859,278,546,976,714,658,058,608,
717,310,674,149,201,468,923,587,136,559,085,602,304,985,416,917,009,908,594,
622,321,425,087,222,824,472,016,689,958,519,559,365,403,041,530,085,435,898,
719,212,171,732,570,031,230,451,916,946,978,342,084,434,943,450,913,139,552,
497,453,525,774,663,518,225,162,672,063,813,274,255,331,008,210,415,490,348,
370,845,024,205,924,394,875,419,430,504,797,996,577,689,841,074,476,347,798,
339,440,045,408,021,875,326,003,377,741,282,545,798,206,278,329,578,570,821,
572,501,174,729,987,268,056,647,633,768,457,612,472,120,560,858,066,596,588,
754,746,792,790,802,591,735,305,350,580,432,155,057,281,460,981,909,675,115,
934,855,288,566,226,894,820,915,533,067,835,500,173,325,857,888,080,347,843,
794,397,906,822,207,538,371,372,347,721,998,083,768,097,884,410,741,732,495,
098,644,357,585,447,304,577,136,101,232,411,571,233,023,344,352,513,198,513,
403,897,213,079,819,164,664,096,294,772,462,096,001,310,442,322,461,897,318,
806,797,954,760,677,486,185,268,727,249,316,949,528,747,964,691,250,238,336,
675,134,852,000,876,982,624,319,067,528,159,740,177,480,374,511,798,573,092,
911,937,766,464,060,932,098,324,935,771,647,110,731,492,214,449,716,595,536,
552,873,040,653,761,591,557,974,775,008,977,577,800,613,147,330,230,466,405,
271,543,225,465,361,216,857,399,466,433,164,525,184,915,359,011,570,969,926,
198,101,278,080,026,560,493,741,573,734,700,533,201,033,144,468,983,838,766,
691,988,615,609,003,327,275,624,284,688,390,537,250,945,372,904,439,217,474,
683,527,045,395,093,050,516,326,519,004,327,349,460,054,387,498,347,562,701,
418,950,867,603,886,551,818,705,600,335,121,499,838,261,786,273,736,970,315,
145,579,243,627,048,378,650,656,727,467,591,654,013,543,564,641,193,911,254,
236,927,624,137,717,515,107,902,594,813,130,735,522,991,357,755,586,952,354,
745,918,923,606,277,945,018,410,111,925,155,144,048,066,815,654,486,023,223,
299,546,803,249,389,816,629,112,079,633,269,207,454,270,739,123,035,966,158,
474,695,365,826,858,410,547,284,506,798,074,932,651,845,802,795,555,962,702,
268,140,572,235,323,921,644,629,066,365,715,605,113,328,437,845,605,060,713,
418,811,917,222,920,072,186,548,730,608,535,812,281,585,199,540,807,071,450,
109,308,101,682,881,527,654,542,675,582,553,447,875,060,314,139,940,857,924,
900,545,054,130,767,731,798,222,624,055,267,323,922,281,342,448,161,159,739,
379,296,517,188,584,332,407,693,903,212,545,466,171,721,922,257,297,433,913,
621,192,949,587,332,354,935,839,795,308,948,311,087,053,958,832,606,220,880,
814,363,777,609,565,543,361,951,733,199,094,342,081,907,165,495,303,580,463,
726,338,296,732,575,562,379,694,341,663,843,723,586,245,310,536,474,601,832,
783,569,783,362,027,652,684,251,603,689,881,434,318,834,127,552,316,661,117,
180,861,582,097,810,488,221,461,397,096,363,822,564,989,302,694,818,253,170,
235,952,146,313,975,006,565,160,932,679,927,050,023,458,301,733,642,621,089,
245,019,527,795,811,253,546,888,288,103,591,071,517,069,671,451,394,733,511,
405,548,674,253,607,190,312,906,595,234,313,314,639,365,535,326,293,326,390,
529,112,734,240,702,934,357,690,569,240,271,672,715,934,472,341,235,468,241,
480,700,338,251,027,231,222,432,256,468,789,061,307,628,454,669,570,728,806,
892,402,436,929,778,111,734,011,488,329,532,610,169,844,293,726,163,100,175,
057,892,454,454,242,192,471,242,474,202,394,132,755,500,349,814,226,847,077,
749,675,601,339,864,597,658,935,600,808,333,709,792,439,762,302,306,595,397,
033,597,715,534,567,304,984,657,374,373,956,808,508,892,605,583,632,097,677,
012,546,332,938,845,118,218,791,878,859,071,397,028,106,591,550,839,164,186,
759,386,615,233,516,460,756,851,510,510,192,189,724,486,543,761,080,372,514,
430,170,342,545,196,757,533,288,738,438,171,067,290,489,098,282,728,894,642,
275,115,370,462,149,691,274,329,919,115,649,258,449,261,389,055,327,423,146,
659,639,631,092,320,403,931,389,751,309,140,759,331,885,354,495,735,922,374,
324,582,539,087,018,696,577,781,504,347,835,209,992,561,795,156,479,038,932,
176,988,974,337,515,664,914,060,950,327,561,233,210,532,430,718,859,843,122,
536,377,342,952,880,841,982,703,768,545,073,305,724,774,131,942,060,417,087,
140,912,214,439,360,080,579,309,454,370,142,245,128,973,127,916,975,224,152,
397,654,596,045,786,943,685,380,641,917,652,719,547,399,845,115,957,129,866,
466,855,439,106,859,961,526,401,029,986,129,614,976,120,492,782,543,862,820,
530,486,722,536,073,287,189,726,581,216,724,786,651,894,312,869,029,762,820,
483,151,838,509,904,811,915,522,824,954,839,287,514,725,121,921,676,351,209,
989,994,330,527,278,861,469,259,171,876,077,675,592,014,604,536,699,784,850,
382,216,430,515,000,596,843,845,945,718,664,484,176,255,510,399,491,332,286,
938,595,470,120,124,288,903,084,986,247,413,742,143,270,357,197,409,802,387,
012,633,572,940,964,736,484,066,421,436,679,586,317,784,558,367,797,468,477,
559,261,963,755,539,215,102,582,177,083,201,649,437,244,769,997,263,694,601,
242,236,324,534,979,391,767,507,516,196,943,870,582,895,299,775,131,898,105,
332,358,635,274,965,864,128,384,370,308,433,177,095,979,111,096,411,767,255,
694,426,001,241,252,369,668,886,040,907,149,383,240,647,185,120,904,782,416,
236,954,149,717,646,991,415,447,004,141,750,506,652,151,678,763,157,561,729,
560,225,498,585,909,275,196,822,034,685,980,125,660,471,678,675,694,531,687,
159,807,880,948,775,519,598,187,259,858,476,410,140,202,501,973,807,545,470,
154,424,919,311,324,091,447,139,376,332,884,613,846,005,895,511,735,074,233,
490,920,231,527,863,815,789,773,528,081,424,804,896,764,463,522,378,074,201,
783,457,441,974,305,100,952,159,813,573,198,271,521,793,375,887,891,295,297,
144,541,137,276,553,030,663,098,670,570,949,563,763,264,384,730,005,301,465,
983,231,077,179,251,247,680,653,672,604,491,985,788,874,398,530,063,192,107,
671,566,601,263,027,362,153,060,977,721,279,540,550,124,033,803,722,307,317,
003,483,555,541,026,923,826,375,180,779,722,654,148,321,093,009,025,842,628,
600,397,450,323,347,347,954,818,104,885,069,951,397,460,313,542,121,297,575,
995,644,565,550,581,862,931,316,616,789,148,623,115,993,464,899,267,902,550,
530,181,641,320,485,881,011,130,837,285,744,515,929,262,218,440,421,254,315,
274,397,320,756,624,715,458,098,948,329,031,670,887,189,370,322,996,995,865,
928,586,222,399,209,830,651,035,456,514,907,528,240,937,857,439,972,962,203,
560,212,632,348,368,300,043,577,188,669,149,970,861,468,677,332,775,721,831,
480,196,631,678,952,211,440,460,387,474,661,736,836,722,079,211,834,427,787,
650,810,127,670,761,721,807,889,820,329,731,814,188,157,813,636,055,630,984,
187,038,974,122,240,834,585,016,787,488,666,735,133,405,015,567,215,810,887,
083,608,735,372,628,105,831,015,168,609,416,223,684,336,647,700,740,298,331,
834,935,199,197,972,419,423,097,261,092,374,435,915,256,959,702,789,175,154,
555,746,290,494,274,253,442,080,880,054,421,919,540,820,766,830,666,036,499,
091,193,265,518,813,040,918,392,506,569,979,711,332,648,839,247,626,862,917,
235,224,079,578,741,774,249,363,186,694,615,040,004,666,492,597,047,090,890,
687,369,376,689,110,388,174,957,099,046,264,262,425,674,373,878,074,536,819,
102,521,142,962,463,832,204,932,779,698,176,557,518,114,978,132,193,507,983,
082,797,313,250,621,056,273,055,080,372,711,507,113,286,770,132,128,592,002,
755,449,198,382,372,266,066,362,490,487,716,567,026,508,003,497,138,953,449,
844,775,344,408,343,788,232,436,065,215,100,671,615,612,462,151,272,636,758,
480,102,270,780,327,458,001,097,298,203,676,392,712,426,922,943,394,975,594,
912,307,725,601,841,053,358,391,978,678,205,451,072,497,427,583,032,397,098,
195,045,239,755,326,278,716,342,424,503,584,218,039,466,894,885,304,808,506,
156,695,134,246,453,946,234,764,218,875,434,393,336,779,820,665,661,966,785,
813,829,482,469,060,747,640,660,205,113,341,086,060,120,424,482,694,111,120,
344,467,488,895,462,694,536,093,805,622,331,122,911,372,212,768,283,177,318,
837,743,599,068,694,789,071,641,912,298,430,012,861,562,343,518,754,175,615,
538,725,544,387,130,363,728,011,082,953,665,228,602,726,744,810,430,880,968,
333,975,840,455,296,433,520,188,441,059,846,070,875,602,100,586,910,452,349,
683,065,629,341,312,720,850,329,479,562,963,806,779,240,340,649,980,925,547,
314,622,895,465,655,503,357,041,964,396,358,856,172,143,523,094,783,554,474,
852,892,083,502,649,150,301,607,554,819,266,378,553,381,210,530,532,136,337,
236,633,427,298,255,169,351,321,202,337,708,119,315,274,111,500,843,402,217,
355,310,547,406,644,063,669,404,267,470,838,817,057,920,235,297,705,403,946,
432,135,522,966,825,820,616,586,219,050,699,450,886,285,156,454,839,107,368,
468,964,112,483,897,943,270,491,515,014,547,749,860,555,183,784,976,304,669,
647,451,647,900,184,643,379,468,466,925,664,606,824,505,271,423,771,734,571,
616,399,872,804,617,723,633,899,861,635,811,501,037,715,363,399,776,457,804,
365,754,157,367,618,963,293,281,327,779,375,949,540,207,707,979,946,120,737,
892,464,744,901,159,390,094,214,863,756,116,010,599,959,950,936,414,028,418,
502,220,750,240,202,024,005,543,813,629,839,321,883,978,002,376,112,977,708,
286,000,872,082,446,622,701,500,269,222,698,937,739,742,123,306,973,980,330,
334,232,854,453,289,339,688,332,665,284,584,352,109,851,519,991,970,941,980,
384,831,028,690,742,351,115,896,839,788,668,017,298,476,699,637,690,734,325,
989,879,078,724,964,786,270,854,870,523,563,270,126,271,159,857,662,936,092,
633,846,590,470,554,280,101,556,769,729,717,176,193,194,125,670,094,711,140,
725,597,618,437,774,583,618,295,073,553,305,651,104,900,584,214,281,890,979,
320,998,483,820,675,919,926,778,106,452,994,105,943,822,704,027,584,847,311,
396,854,875,972,606,440,489,258,190,162,855,118,655,708,230,279,679,931,284,
932,228,993,807,576,392,035,555,715,549,095,359,464,285,888,690,130,859,621,
738,147,390,690,856,945,586,116,478,151,716,949,010,313,452,975,925,849,181,
251,229,403,828,425,318,338,001,614,841,395,850,597,666,071,537,482,738,700,
499,220,399,104,245,103,778,681,581,911,082,419,523,701,830,916,426,126,915,
691,773,961,184,366,692,236,623,462,118,160,869,987,961,878,245,326,629,842,
151,424,890,924,516,430,326,280,301,810,394,347,023,058,209,706,513,631,476,
145,209,873,611,222,623,656,966,324,234,709,085,684,827,144,027,401,611,856,
599,172,120,745,142,828,608,765,265,754,392,078,685,973,789,213,551,832,384,
250,675,489,939,448,793,927,692,980,319,244,222,813,682,178,549,519,432,503,
646,700,196,099,298,088,864,374,860,607,253,884,199,297,023,769,445,332,248,
875,503,376,999,766,705,140,906,241,033,343,090,401,693,114,018,709,937,197,
932,852,951,633,610,002,144,417,989,978,860,270,159,384,234,756,394,311,582,
832,722,125,293,939,889,708,464,766,213,832,871,443,707,711,458,872,857,259,
737,534,065,418,444,271,305,828,162,452,280,838,717,185,543,194,944,552,763,
948,028,131,377,567,158,888,859,593,048,595,299,735,874,199,475,292,300,902,
885,518,813,955,609,589,238,570,230,576,181,137,757,737,488,509,951,756,257,
920,516,321,482,953,474,946,382,149,951,395,262,750,462,604,947,106,064,853,
619,379,869,366,441,042,871,772,214,920,995,749,693,398,594,717,155,720,771,
159,555,799,350,666,486,078,764,864,485,009,194,621,629,970,964,866,482,067,
075,657,379,499,976,346,236,159,248,478,106,866,800,904,194,331,524,450,262,
252,436,075,234,358,180,406,634,826,795,977,165,454,285,420,301,170,135,459,
248,557,594,529,281,379,081,722,805,289,204,812,786,020,195,266,339,904,383,
295,221,889,877,157,088,680,524,442,078,438,748,232,128,916,194,543,556,557,
709,288,992,401,607,238,394,338,122,515,770,221,107,475,931,570,984,271,133,
601,387,360,225,934,834,017,330,735,621,595,042,380,890,655,041,767,485,739,
304,928,633,155,804,784,005,997,980,743,176,447,047,844,151,795,526,048,855,
710,016,087,064,156,304,819,624,474,342,362,498,907,023,968,613,189,283,301,
962,211,054,843,389,408,642,169,040,931,461,919,257,946,861,513,100,098,582,
179,705,463,102,374,890,019,891,015,744,081,580,024,912,982,548,570,372,445,
489,874,478,363,939,680,863,145,528,864,344,716,808,094,666,358,551,205,225,
905,319,569,078,190,266,277,465,047,473,679,272,270,325,459,852,414,017,773,
737,975,215,690,721,207,562,509,415,887,907,072,683,635,917,366,825,079,033,
453,022,762,700,020,973,143,850,941,085,309,274,989,080,033,301,245,109,111,
710,741,211,537,675,859,693,138,217,600,228,436,453,923,110,085,864,190,741,
788,116,510,801,873,475,920,413,606,652,640,568,343,397,419,737,697,590,708,
273,978,932,014,774,891,444,574,831,588,152,430,744,431,305,615,688,116,960,
296,575,081,968,366,468,405,104,638,771,960,443,266,101,982,936,313,972,079,
113,263,966,891,599,082,533,125,625,113,149,423,877,715,440,582,945,130,731,
151,023,312,010,164,269,646,808,701,715,786,454,192,775,396,013,083,364,812,
786,391,917,226,395,087,792,233,142,952,069,777,141,436,777,714,723,361,970,
533,357,447,228,671,044,984,864,668,571,960,219,905,881,069,344,897,937,189,
523,007,302,044,027,976,165,642,371,849,970,411,113,871,738,894,652,169,026,
356,945,329,229,712,840,915,400,692,733,104,797,133,195,186,238,519,101,693,
262,243,736,505,717,692,034,857,925,389,547,548,112,382,912,246,741,873,131,
974,494,511,686,848,894,845,953,462,005,546,374,680,791,606,503,888,014,071,
302,028,424,883,026,474,760,396,639,144,420,723,645,971,276,287,971,233,260,
997,370,900,395,769,472,385,033,015,398,352,094,111,244,203,659,946,416,665,
397,568,615,070,552,435,537,137,247,681,122,089,558,465,041,617,633,278,995,
739,482,545,617,365,220,483,951,989,042,265,399,911,145,743,573,769,869,185,
274,712,713,884,037,843,197,805,258,269,931,983,012,878,414,889,780,232,533,
178,456,437,572,930,680,368,319,171,341,279,654,668,465,339,325,786,440,496,
121,572,470,167,411,801,791,748,893,205,904,711,036,159,589,565,360,765,375,
671,910,611,698,027,046,246,207,466,292,475,072,849,808,693,704,792,562,742,
393,531,849,338,672,923,986,935,214,110,046,376,305,549,336,221,226,188,369,
831,820,181,939,649,773,518,509,000,053,804,770,153,167,531,777,617,857,126,
613,510,769,317,469,975,486,293,714,159,766,414,180,770,889,910,379,497,865,
339,565,463,930,686,603,750,876,911,178,637,823,618,709,499,846,490,453,540,
514,306,293,555,856,606,549,946,099,748,740,055,184,457,905,367,880,669,061,
120,800,794,789,369,360,543,823,509,108,035,039,478,468,079,605,020,043,552,
761,541,895,097,894,514,742,389,767,546,954,571,866,605,869,955,898,554,880,
264,168,806,791,352,240,861,575,307,958,569,230,853,911,001,882,030,795,395,
698,222,712,229,462,714,926,644,336,208,415,318,261,216,413,395,509,946,655,
527,456,905,335,930,710,187,020,659,275,002,592,500,073,047,250,416,776,214,
063,014,027,125,465,579,057,511,687,908,965,518,824,655,681,234,939,660,060,
242,613,254,408,822,299,940,968,565,391,699,102,778,182,553,891,809,502,381,
386,393,818,714,462,474,741,724,299,290,301,467,259,525,687,278,766,426,233,
319,096,846,920,271,835,447,948,538,274,463,052,997,481,602,200,759,189,626,
575,983,607,600,913,662,405,487,800,538,404,876,417,882,504,513,725,650,231,
544,540,131,368,168,640,572,025,393,017,816,805,479,248,775,720,431,575,971,
941,880,885,619,764,399,055,635,887,736,117,347,756,994,570,473,570,894,407,
020,960,120,745,983,324,903,516,867,609,942,489,056,982,035,583,573,380,344,
141,939,584,743,308,631,993,833,912,337,917,080,429,956,007,421,219,337,225,
500,203,829,042,930,933,237,154,391,721,335,996,953,647,069,854,094,206,232,
688,639,924,136,961,527,057,573,616,257,091,743,941,330,389,159,323,930,104,
212,550,662,911,157,124,959,246,625,290,645,134,343,899,817,493,445,008,196,
611,026,427,921,794,518,097,089,244,500,899,916,053,972,499,331,218,515,808,
333,645,824,523,904,204,212,365,561,509,203,472,028,936,929,490,891,417,681,
863,927,177,231,529,848,405,994,349,904,565,263,664,543,163,767,158,317,761,
296,250,193,347,169,740,050,308,092,601,421,972,242,484,985,379,652,484,486,
920,637,314,695,468,727,349,596,811,703,120,380,378,497,045,020,982,469,720,
308,601,280,341,612,510,846,735,346,024,079,903,757,414,618,550,040,623,668,
333,787,130,590,522,231,987,230,569,810,142,004,435,736,081,227,643,917,402,
616,379,393,880,058,054,944,131,419,250,727,985,815,889,901,187,106,758,294,
575,668,667,782,141,653,683,103,237,549,361,263,221,055,878,821,817,042,829,
751,628,871,285,440,118,888,270,560,229,595,699,559,726,185,955,861,505,169,
169,592,148,389,029,645,470,469,433,921,725,262,146,935,090,871,392,954,845,
217,797,141,324,679,560,525,176,495,067,598,801,333,190,078,604,382,454,580,
684,425,700,015,665,950,259,375,444,177,361,848,155,430,400,258,795,302,185,
994,751,076,452,724,003,699,414,164,720,789,183,312,106,492,619,951,912,902,
691,357,004,288,270,632,207,403,896,459,461,878,510,412,595,084,118,695,402,
821,607,340,705,340,589,682,807,951,039,290,767,742,222,337,379,952,987,504,
311,901,316,651,715,192,025,613,100,811,542,202,606,158,846,422,619,753,787,
166,876,743,030,037,949,492,452,311,674,926,327,057,319,128,881,079,567,933,
214,589,608,708,987,780,911,115,114,077,205,322,582,942,568,983,930,167,890,
961,296,452,905,005,670,344,844,948,227,212,495,027,162,980,582,204,779,614,
373,217,050,796,393,408,450,781,313,252,397,904,284,110,701,854,643,672,020,
945,183,386,209,745,132,340,424,044,309,118,509,350,427,192,907,449,299,847,
812,323,235,358,968,554,779,184,957,756,927,219,613,131,145,051,963,264,709,
363,965,798,246,689,808,908,143,045,450,038,845,040,521,811,502,417,111,167,
450,244,911,690,083,919,715,462,730,161,231,926,442,090,728,061,179,992,994,
875,467,252,020,531,386,430,397,781,206,909,925,269,724,558,459,185,425,314,
749,595,701,595,207,909,338,912,602,463,336,224,446,633,679,001,244,193,625,
148,975,696,792,115,819,388,049,033,936,821,869,701,059,964,701,242,376,265,
489,757,565,700,607,980,249,367,651,536,592,327,610,462,262,435,198,983,539,
715,297,515,299,857,659,185,583,128,778,565,165,306,540,390,318,943,941,400,
706,755,755,171,461,274,432,977,719,350,322,673,501,534,299,425,267,946,787,
235,725,295,343,799,238,576,296,425,126,158,051,816,482,620,302,006,278,172,
932,529,459,542,015,294,206,609,121,063,825,486,450,349,679,921,415,523,722,
122,225,645,630,659,770,404,156,747,227,592,000,936,559,149,135,613,618,364,
343,721,722,264,491,757,077,805,960,601,472,599,021,109,384,472,440,502,604,
338,784,360,042,533,092,306,594,680,676,517,326,815,463,925,976,596,124,470,
370,642,208,977,096,946,845,720,308,531,938,600,918,708,273,711,263,633,284,
117,051,343,068,963,975,457,518,516,110,845,775,654,621,533,060,607,682,913,
115,333,701,078,031,553,215,037,014,326,259,699,424,344,699,950,222,175,450,
140,131,883,612,127,051,603,242,316,703,260,019,567,388,450,253,284,366,784,
004,046,187,160,038,398,014,644,009,414,631,067,551,791,424,030,133,525,629,
503,776,422,918,673,983,868,594,897,489,764,165,810,234,329,602,961,280,251,
224,331,718,529,103,435,010,005,821,366,380,966,030,562,133,706,150,679,160,
135,918,412,875,242,292,829,846,547,774,440,380,074,351,365,847,475,896,766,
509,844,858,059,843,689,197,263,858,825,341,965,727,212,413,646,007,823,187,
260,091,314,635,811,628,508,752,522,311,806,114,811,428,260,665,626,788,799,
095,107,557,108,518,708,263,805,258,227,523,552,445,084,703,184,039,210,669,
632,651,333,591,057,214,899,938,805,199,757,633,209,423,687,941,133,884,376,
613,149,114,301,579,858,747,747,693,990,482,869,863,747,496,715,053,916,676,
592,327,414,107,881,305,035,069,295,441,592,946,071,694,030,879,698,135,075,
151,261,591,291,497,319,277,994,917,462,683,039,315,801,061,575,371,126,652,
394,510,716,185,073,554,856,689,881,441,452,747,256,489,528,338,855,606,827,
089,099,107,308,081,940,748,354,793,489,831,367,172,640,908,629,477,188,252,
107,604,642,105,932,657,285,829,091,215,282,145,221,991,776,385,236,666,399,
471,010,064,360,840,800,441,849,191,573,987,607,511,169,592,322,748,429,298,
371,462,494,551,320,655,933,061,637,113,544,325,905,593,111,795,558,909,559,
624,059,122,495,920,463,115,910,760,915,354,275,979,608,200,632,302,599,853,
242,200,038,760,806,776,968,675,978,582,737,474,576,854,869,684,579,241,981,
682,925,715,227,648,182,905,031,183,389,089,333,579,203,578,431,595,956,531,
553,896,561,227,965,146,981,397,301,663,375,370,795,369,334,681,059,279,532,
596,214,637,952,740,451,569,564,083,720,989,055,388,345,889,473,355,644,679,
656,106,822,485,353,350,641,479,962,307,278,033,036,183,043,586,681,838,520,
459,127,613,954,740,682,036,742,008,621,979,005,401,788,712,578,602,667,942,
006,012,411,465,726,155,254,767,951,954,552,236,007,091,053,694,283,361,951,
249,768,952,527,765,252,620,781,010,076,701,727,061,034,615,916,423,801,265,
126,130,025,219,935,147,315,899,513,563,891,724,406,579,987,696,322,270,864,
386,832,870,018,132,016,707,861,163,789,750,591,998,198,106,418,888,090,044,
242,198,923,541,026,199,671,030,250,198,404,332,432,484,323,319,523,993,312,
325,022,572,180,389,702,931,344,587,892,132,724,048,544,823,783,220,912,130,
029,117,966,553,892,975,751,311,853,150,392,284,913,954,483,953,436,317,766,
213,048,341,979,060,586,788,549,502,342,377,477,792,664,823,790,441,728,971,
766,310,783,165,202,506,423,237,984,045,335,314,982,433,148,563,897,989,769,
310,354,082,945,902,971,792,756,872,232,440,816,161,269,870,036,952,478,141,
853,548,033,040,949,107,225,044,726,995,398,685,556,121,875,301,024,472,325,
168,707,280,136,829,061,455,630,621,933,984,731,161,328,653,244,759,408,326,
963,022,292,090,642,488,175,999,011,385,943,467,895,896,441,047,295,132,530,
447,812,860,512,308,170,797,930,309,862,319,422,082,183,433,499,432,561,885,
823,505,687,296,131,831,176,189,381,786,291,734,384,275,827,402,053,082,307,
056,875,899,769,474,497,186,538,782,444,556,730,423,199,927,995,662,970,814,
695,732,440,011,380,058,687,229,211,804,774,895,500,923,448,539,429,095,621,
649,430,989,456,051,598,342,697,705,706,165,978,119,737,147,947,466,389,499,
186,095,820,855,603,900,157,139,502,235,949,029,971,025,938,254,407,175,409,
806,763,008,651,566,266,733,261,543,421,831,675,645,933,087,448,165,902,601,
862,962,818,659,361,087,689,729,424,407,034,948,898,699,052,721,078,374,614,
019,469,588,536,798,520,788,931,871,184,913,422,014,275,357,874,122,109,357,
814,644,766,165,780,681,969,901,036,678,353,484,068,496,779,676,773,932,906,
010,829,952,164,784,109,453,550,885,415,404,087,208,517,545,549,515,269,015,
497,353,197,579,916,895,451,294,134,345,449,791,378,195,268,748,820,817,202,
139,994,983,573,686,720,380,486,875,657,283,043,265,824,637,603,841,565,690,
710,629,963,588,399,878,495,732,823,008,024,423,931,968,718,386,688,673,241,
432,083,459,701,915,528,142,611,557,503,617,108,160,265,112,818,742,934,762,
879,437,515,555,904,521,760,645,752,569,609,550,368,001,921,909,748,451,145,
964,764,257,337,858,772,830,939,727,311,329,142,580,977,376,910,668,073,130,
812,334,074,158,656,458,943,872,603,179,031,576,364,789,406,668,108,040,588,
963,231,916,453,849,901,592,364,696,451,907,001,736,830,748,340,887,893,827,
008,117,961,288,178,927,301,542,321,062,079,873,362,183,307,968,217,557,111,
113,951,421,810,934,477,196,109,768,734,776,595,110,263,227,310,914,751,263,
640,353,450,563,102,220,261,584,439,670,298,129,007,528,927,477,593,670,639,
886,769,711,507,624,030,614,773,983,375,913,909,752,693,359,100,209,770,814,
324,188,839,385,300,001,353,259,618,849,815,599,080,197,425,741,321,628,082,
284,480,564,705,816,049,456,136,806,207,772,445,887,830,556,750,497,167,823,
246,358,722,694,370,838,343,750,723,478,924,600,961,810,475,494,930,174,921,
784,812,468,892,770,474,404,142,528,625,657,168,785,992,530,476,817,723,603,
220,703,580,927,111,002,268,407,150,392,759,793,020,892,192,926,704,594,676,
956,357,139,805,777,800,793,577,235,550,062,738,185,343,193,058,648,077,564,
671,022,906,599,082,021,860,355,566,413,121,050,585,362,946,195,536,119,788,
128,123,466,021,856,267,349,274,836,518,201,383,874,951,972,541,973,195,441,
499,967,352,322,586,233,303,256,584,447,847,251,351,280,028,659,846,199,928,
293,361,812,386,387,818,301,758,588,719,670,706,005,553,923,507,427,709,672,
458,772,267,929,409,620,764,143,506,913,525,951,683,998,865,251,839,224,129,
098,156,774,668,274,317,562,977,414,850,175,549,391,638,658,573,819,876,775,
705,930,677,422,547,626,416,253,940,352,027,084,891,075,111,423,647,911,637,
429,887,937,683,952,390,725,452,486,474,482,983,781,934,597,967,174,501,962,
043,201,172,864,609,804,692,468,267,766,046,248,259,697,966,823,187,198,555,
009,635,483,486,275,479,652,961,041,131,767,916,980,734,359,807,297,323,941,
103,936,579,357,946,479,788,470,492,874,640,011,047,573,189,531,943,834,286,
396,422,948,383,882,412,607,618,428,408,886,459,579,634,413,483,877,375,611,
305,956,121,457,074,946,798,351,865,712,876,808,838,528,032,755,096,258,820,
923,537,635,988,215,832,695,106,503,925,803,769,294,916,795,271,261,654,399,
858,764,413,370,546,059,996,871,265,637,485,406,056,036,015,824,840,187,270,
156,299,890,689,700,937,175,709,072,830,396,418,328,857,418,555,003,848,944,
944,882,051,122,367,591,713,384,272,589,550,754,975,786,855,058,821,902,779,
256,805,249,677,382,783,762,966,335,354,626,959,478,742,500,050,287,644,879,
016,940,130,689,479,489,384,625,571,179,770,607,759,350,061,655,295,947,350,
555,974,903,703,174,580,860,954,957,014,593,208,323,493,620,854,964,380,782,
311,547,295,406,203,992,501,460,984,658,567,750,517,938,974,208,217,035,886,
591,654,537,795,881,277,514,783,813,015,045,416,621,622,727,848,485,595,868,
505,010,647,964,489,802,113,423,388,079,602,426,262,361,601,567,052,967,189,
229,641,950,368,022,420,636,783,941,079,005,554,962,266,966,842,759,528,545,
920,298,086,806,208,560,783,511,205,184,475,385,876,435,369,285,267,046,758,
232,560,715,406,863,652,543,896,738,553,052,498,537,507,217,264,952,929,594,
427,368,314,733,222,160,925,983,132,302,811,630,516,011,343,965,149,112,673,
459,533,981,752,492,651,600,386,866,759,192,436,618,870,023,127,256,932,906,
638,630,343,360,085,490,759,450,133,967,003,944,889,726,137,172,934,661,994,
841,307,670,403,723,169,018,061,948,026,318,674,937,832,539,747,855,642,362,
505,181,121,185,250,635,582,294,590,364,767,100,956,951,170,136,373,099,528,
323,409,822,427,881,191,374,201,114,460,211,472,512,839,083,208,475,310,278,
752,595,190,736,571,818,523,585,858,043,122,814,360,893,333,230,668,507,769,
695,887,115,743,912,494,882,727,845,313,841,777,047,770,774,828,880,297,113,
348,366,508,454,371,183,229,459,941,814,876,272,838,788,276,824,454,809,907,
922,636,787,491,824,016,270,611,850,685,410,659,221,728,851,442,503,555,445,
780,399,183,810,175,519,980,318,242,721,259,677,757,318,579,443,783,520,074,
975,452,886,976,142,105,655,683,360,081,065,322,493,913,011,664,651,793,635,
898,335,401,190,219,758,615,679,243,706,846,697,670,668,940,709,252,389,520,
785,148,447,193,141,297,307,820,605,446,880,838,107,178,554,072,130,704,395,
139,849,256,670,214,954,971,462,055,031,624,069,250,460,958,915,956,169,698,
777,474,221,997,213,265,076,826,335,117,257,889,031,293,811,145,857,095,068,
260,305,315,149,028,474,432,166,012,706,452,190,811,267,641,601,445,206,822,
424,772,705,327,396,482,718,911,181,802,675,065,757,018,626,490,068,134,423,
474,235,510,350,528,750,420,001,523,057,909,341,708,903,838,599,565,474,603,
786,199,384,943,541,699,042,322,389,256,720,514,329,550,153,814,916,450,900,
514,628,534,550,630,981,057,510,796,398,642,543,220,507,581,296,374,928,805,
541,386,519,456,335,799,085,592,690,814,026,655,343,506,678,955,122,325,526,
455,182,415,699,889,890,069,097,156,583,892,022,970,872,522,780,131,524,662,
378,218,431,661,089,211,080,821,718,732,252,262,946,553,011,722,764,518,060,
697,594,323,256,797,773,486,807,913,618,281,351,213,875,829,304,688,503,512,
993,019,830,355,933,525,115,636,104,574,299,969,396,691,481,913,256,910,097,
978,492,965,166,103,329,509,776,365,166,654,082,063,381,217,005,217,176,506,
043,151,085,940,116,204,537,495,208,754,818,787,395,517,565,593,184,416,892,
880,313,406,752,374,157,066,464,032,440,153,289,285,326,651,030,736,677,350,
276,433,149,487,776,513,079,082,884,952,834,755,375,215,315,293,355,246,908,
158,460,666,537,354,519,228,011,020,922,343,164,161,367,777,947,807,473,076,
839,820,899,196,203,696,493,898,918,922,773,789,935,665,712,847,366,215,812,
484,042,540,612,655,676,449,347,894,917,152,959,957,256,200,562,910,512,150,
688,613,330,618,405,896,545,633,726,403,757,565,895,380,981,726,697,361,745,
574,129,399,925,151,989,852,456,720,384,563,978,279,188,709,988,999,327,278,
133,157,167,204,667,109,812,194,009,198,890,704,016,188,611,971,919,063,065,
198,168,951,864,335,357,821,984,109,235,253,070,389,146,121,839,597,871,326,
414,448,699,377,591,932,181,016,131,801,956,272,603,492,323,547,185,265,666,
238,659,813,458,481,662,827,475,112,992,582,825,175,616,322,193,561,303,478,
281,791,189,517,231,444,947,029,011,079,833,583,292,715,277,634,696,733,593,
579,535,264,180,438,813,374,168,798,678,920,146,624,336,557,749,115,824,665,
633,493,546,613,587,384,898,078,638,148,458,422,408,843,240,363,785,913,081,
652,197,314,523,749,938,495,749,812,847,859,248,737,106,516,664,319,889,208,
059,196,734,172,394,166,147,883,670,043,761,473,239,036,080,652,472,819,263,
979,312,788,669,532,572,885,563,257,745,951,793,437,558,703,268,991,530,842,
161,437,613,203,780,543,459,302,713,632,456,489,335,676,739,682,395,049,690,
033,866,900,729,111,959,254,528,544,278,086,667,436,970,002,931,566,552,260,
435,564,411,658,999,262,880,004,298,780,325,999,062,302,913,980,370,507,592,
045,642,919,598,196,583,919,533,962,260,026,819,967,399,911,719,342,185,835,
370,122,791,335,175,075,549,669,616,600,702,428,966,445,897,280,724,702,682,
274,794,703,854,827,393,065,831,794,752,272,161,706,024,514,978,705,412,919,
836,725,429,895,140,209,895,019,263,779,409,597,244,389,874,394,688,352,960,
007,608,676,647,268,037,231,235,964,469,531,767,478,919,475,394,418,376,282,
126,328,019,019,267,162,006,108,517,202,014,477,162,309,069,785,296,447,367,
336,647,312,621,245,806,225,694,185,782,422,756,577,347,991,292,894,949,585,
653,926,869,106,843,065,426,769,949,428,244,120,845,743,994,682,233,773,737,
247,464,381,802,146,917,862,385,902,990,082,175,730,879,264,826,359,777,953,
421,647,904,167,853,009,289,166,481,762,299,593,030,991,620,071,412,635,586,
910,409,494,160,465,673,448,144,593,942,377,936,416,588,467,757,241,632,093,
884,020,407,258,488,888,035,704,448,441,020,377,930,730,048,084,275,237,173,
320,603,007,055,484,630,729,951,170,424,058,066,059,605,515,881,292,129,409,
469,474,768,669,887,144,047,288,302,947,043,597,156,404,685,134,258,667,614,
590,785,064,824,520,983,198,579,101,650,146,762,042,071,169,111,361,710,238,
777,939,245,454,654,847,608,034,868,211,816,462,088,728,207,265,326,466,788,
791,353,298,973,218,110,585,231,004,214,324,390,786,517,365,159,534,495,489,
634,020,776,863,863,970,817,346,495,094,591,350,562,613,199,701,907,103,717,
514,806,579,324,087,523,322,917,806,325,215,357,132,574,680,572,640,377,254,
817,859,920,655,557,301,716,531,501,451,440,018,254,587,393,794,868,747,774,
721,839,480,999,254,229,578,602,503,347,933,433,964,533,661,722,064,050,007,
000,436,378,355,494,492,215,501,699,585,152,171,499,146,986,414,191,480,611,
226,666,879,828,754,202,310,087,834,645,959,003,635,588,136,195,673,630,436,
190,784,366,062,646,855,400,298,874,567,792,319,365,017,543,559,083,342,944,
117,669,077,758,356,684,151,722,514,857,391,126,181,546,608,896,015,107,915,
616,504,802,857,781,159,316,936,523,586,521,478,371,070,811,856,361,957,538,
950,015,897,492,267,137,388,279,385,946,793,003,725,586,650,065,468,602,814,
473,838,911,839,387,102,125,256,743,590,112,022,706,578,560,617,800,531,368,
597,753,988,512,835,077,007,434,770,394,700,925,267,729,747,631,348,306,106,
059,237,222,079,019,332,666,417,816,539,024,355,563,450,946,552,731,067,347,
682,996,209,004,830,531,695,624,516,561,073,270,786,881,298,050,496,572,550,
051,530,849,608,707,153,952,293,465,246,262,004,284,613,686,494,374,212,207,
606,302,697,190,706,994,213,687,351,873,025,669,886,528,475,892,671,419,515,
590,163,186,161,784,306,527,109,405,791,950,971,956,955,957,907,024,807,220,
921,130,195,797,314,974,484,048,796,273,052,418,710,127,776,769,794,926,289,
814,069,301,244,658,765,578,873,665,763,586,251,778,831,075,601,350,713,456,
328,382,866,501,714,143,792,233,497,602,557,746,523,641,665,491,677,476,975,
076,830,676,457,381,968,373,479,736,777,842,028,417,926,700,166,588,915,346,
775,765,384,059,598,984,512,058,373,576,676,556,012,061,910,122,939,944,597,
836,018,736,866,195,295,598,335,216,845,885,503,840,540,372,388,354,750,076,
060,205,999,820,293,077,897,630,893,985,001,840,223,764,677,694,803,398,941,
149,233,690,212,178,574,936,347,997,932,331,434,835,370,950,029,284,391,261,
785,411,622,370,185,732,304,819,000,190,774,980,987,842,578,457,851,917,820,
057,919,218,626,344,806,850,955,518,683,447,644,728,430,658,692,902,485,225,
734,146,499,442,725,203,443,642,407,071,512,511,536,796,519,400,792,813,364,
000,832,050,551,115,048,944,724,230,780,865,577,080,402,725,596,812,664,650,
535,146,736,180,149,080,784,746,771,988,820,431,866,752,885,212,904,251,897,
098,919,662,924,414,117,299,124,974,394,228,475,596,970,454,755,394,997,237,
538,469,730,320,426,312,276,742,866,397,266,276,813,086,628,189,275,208,441,
141,562,674,035,032,570,804,182,818,305,372,466,662,505,603,922,621,756,860,
402,042,990,060,510,296,864,818,012,799,728,952,206,904,647,088,703,950,924,
089,657,910,314,848,267,780,994,728,238,569,097,514,965,757,900,059,469,810,
852,668,549,614,010,095,227,859,242,317,668,186,192,524,868,216,733,930,200,
757,072,930,283,767,020,553,583,201,509,410,158,032,303,707,261,203,755,872,
702,429,184,654,355,855,538,858,149,428,083,658,236,044,334,792,127,711,170,
682,125,988,145,310,878,587,582,948,910,410,409,907,698,008,300,931,815,579,
259,355,143,888,394,559,193,000,179,187,271,707,625,851,530,824,318,861,360,
614,399,173,346,192,203,574,265,067,171,041,039,011,095,139,758,347,095,006,
729,231,619,134,482,056,563,399,659,015,900,811,786,822,768,511,733,110,486,
825,188,336,206,270,574,023,651,400,093,519,108,981,511,916,002,140,469,018,
047,251,111,757,962,485,154,413,769,217,246,381,237,028,902,827,752,076,869,
910,181,231,935,786,691,519,271,793,495,758,676,762,998,658,089,878,457,075,
079,046,247,791,389,557,176,746,219,812,159,285,938,930,667,702,197,681,353,
482,682,210,810,861,155,977,854,922,008,636,769,399,988,871,813,681,170,395,
439,667,216,130,928,378,743,070,601,222,704,713,091,931,610,579,658,740,717,
473,395,598,184,556,509,944,064,940,600,527,792,159,355,581,564,078,483,133,
555,325,419,203,610,704,814,942,242,879,783,390,099,130,468,089,338,400,860,
685,728,141,888,941,950,624,203,122,452,808,562,015,538,357,827,261,359,770,
853,710,485,027,829,252,469,526,856,170,449,199,170,211,417,429,141,884,449,
066,035,151,054,834,222,268,964,787,791,935,442,035,945,377,040,121,578,165,
067,552,072,704,058,644,145,679,641,297,862,044,862,266,307,004,397,775,947,
585,218,428,527,644,701,413,675,220,301,166,384,883,366,605,331,921,323,205,
958,958,527,759,836,291,327,476,493,748,385,579,872,147,380,699,342,305,104,
658,347,836,162,348,649,130,230,015,854,030,180,472,898,538,790,869,231,613,
083,454,338,953,187,997,537,398,456,354,469,553,807,127,196,739,849,788,362,
574,389,618,285,281,768,522,935,774,515,054,140,634,208,840,764,028,515,627,
117,816,941,209,564,746,008,094,799,185,802,072,155,244,014,463,586,613,466,
752,947,416,926,305,382,203,318,960,668,644,871,940,243,754,735,305,935,463,
739,019,198,058,780,363,144,130,332,129,892,297,193,742,834,164,122,741,724,
814,599,896,739,654,925,365,044,679,716,492,957,085,307,680,293,116,200,985,
304,657,214,998,018,429,952,125,947,360,898,978,333,628,485,559,314,019,606,
995,466,577,103,739,014,805,270,555,587,608,579,837,487,028,921,620,290,811,
844,503,568,333,846,036,624,023,788,745,724,899,194,119,317,429,973,795,127,
288,772,503,470,879,685,772,173,035,218,529,857,401,724,079,450,048,161,458,
639,954,255,799,109,678,118,017,136,934,515,372,381,766,242,453,779,769,971,
982,704,220,691,241,144,621,637,756,846,515,351,068,057,242,160,486,763,420,
198,158,606,482,235,487,348,950,504,541,744,961,750,830,267,330,537,098,401,
864,058,833,328,020,814,863,725,257,814,330,396,554,767,110,529,911,095,752,
608,780,147,819,129,091,622,443,728,851,724,943,360,634,219,762,563,382,300,
424,916,632,204,646,693,525,386,215,069,627,457,884,364,006,073,968,906,515,
982,970,592,374,439,082,144,754,386,644,894,580,101,576,957,897,914,031,934,
133,441,627,358,974,819,430,676,040,859,376,255,512,395,714,606,919,999,826,
611,282,551,981,080,377,450,006,236,183,973,644,596,114,406,804,040,189,178,
987,512,323,353,339,489,146,336,310,819,731,867,053,124,258,502,380,552,072,
628,342,965,228,057,055,086,964,803,030,720,882,891,052,367,141,199,121,906,
877,070,020,257,783,926,960,192,234,465,475,741,614,711,903,634,177,570,969,
978,561,979,967,617,078,863,682,654,878,028,841,745,177,096,557,422,140,424,
774,146,952,649,675,772,929,633,099,680,592,418,301,947,786,590,758,712,474,
473,286,504,059,571,169,237,739,110,160,456,645,504,863,176,331,867,037,966,
143,503,745,334,937,530,765,253,447,933,722,116,344,671,729,708,300,521,692,
244,760,576,116,764,810,529,599,964,291,441,938,467,333,652,894,982,609,943,
995,911,276,186,167,973,768,240,212,422,289,806,571,700,423,824,065,012,548,
015,438,008,034,963,012,227,936,387,606,432,259,958,608,150,418,687,841,855,
984,610,670,279,732,249,467,593,785,506,130,662,848,473,219,324,063,426,547,
710,479,494,596,262,129,770,793,864,373,446,742,076,197,285,562,408,733,238,
687,112,115,061,658,415,407,574,612,256,763,469,546,503,034,911,267,283,241,
116,488,358,543,756,251,992,489,033,315,441,467,292,911,190,939,621,720,504,
484,819,198,005,876,514,880,872,689,547,984,421,582,823,751,873,966,125,646,
249,063,591,659,634,481,413,109,620,147,253,364,684,739,650,158,469,061,724,
428,108,755,709,361,393,915,961,617,826,331,353,460,511,459,299,600,829,945,
646,182,313,394,705,108,115,396,602,957,063,666,971,214,033,910,403,020,490,
297,088,356,676,111,813,312,950,832,696,377,924,142,670,892,336,777,128,697,
470,827,702,970,000,711,930,010,631,797,331,784,805,842,230,471,483,792,088,
740,968,342,307,378,221,383,046,017,969,990,432,923,034,114,594,854,293,418,
183,901,022,999,747,449,798,991,587,513,283,527,135,548,815,150,837,097,116,
153,596,556,385,973,903,683,136,036,117,595,040,768,841,126,248,485,676,193,
137,476,103,859,099,787,196,298,152,272,362,177,361,859,154,950,910,560,271,
192,348,886,148,842,080,420,544,471,360,826,603,842,572,909,304,630,006,626,
628,234,381,511,913,658,645,819,864,193,403,154,255,663,839,270,356,686,318,
520,231,980,144,811,930,174,095,605,942,301,892,504,364,907,571,573,050,258,
591,969,561,583,564,341,743,972,127,771,511,285,351,366,101,204,050,926,278,
563,400,038,828,567,831,436,052,069,579,010,959,368,376,675,088,048,038,120,
224,352,905,001,588,488,878,430,510,685,923,320,727,779,012,757,575,159,315,
570,961,858,275,507,794,756,123,961,213,607,195,113,102,020,796,670,909,223,
221,925,454,278,475,265,094,068,646,275,882,268,826,454,917,389,388,029,246,
082,337,908,560,442,001,326,555,414,213,687,556,202,673,887,347,295,193,411,
513,892,698,170,874,754,650,458,482,116,198,512,754,685,637,738,658,637,916,
687,961,656,570,316,874,821,475,342,962,325,559,606,039,669,324,545,208,802,
991,408,241,925,737,437,917,307,065,699,174,686,229,959,362,442,621,694,023,
292,130,875,693,885,786,915,944,242,085,412,782,528,544,526,669,885,941,234,
344,216,437,300,726,252,011,479,432,986,276,346,904,755,999,858,320,009,432,
945,091,163,806,993,090,203,132,242,016,159,478,916,115,136,551,647,686,329,
602,382,988,954,220,937,057,111,065,356,168,723,542,917,168,500,653,104,475,
704,691,412,837,391,130,143,686,185,643,067,721,823,618,548,088,176,655,334,
427,663,304,735,450,426,566,979,618,770,689,263,575,327,503,486,174,792,693,
280,646,625,868,203,209,936,121,478,633,053,515,283,389,451,601,417,718,253,
094,011,993,035,941,649,566,585,957,194,961,478,715,431,435,802,928,896,076,
132,435,674,949,729,137,147,303,412,227,961,218,390,573,417,109,817,103,796,
557,977,544,510,828,711,816,604,165,440,515,454,862,958,557,594,016,802,572,
273,498,206,916,082,510,435,562,755,966,226,768,763,950,648,058,820,333,134,
620,202,028,012,430,622,712,206,633,458,309,178,300,165,507,169,665,242,384,
269,034,946,205,348,235,284,281,630,771,340,981,377,100,415,845,405,578,308,
643,953,334,824,257,414,778,404,817,504,771,736,252,135,221,336,728,350,665,
719,335,945,413,492,425,189,711,430,526,516,486,122,544,348,302,347,208,589,
443,022,186,337,518,363,250,517,232,805,636,767,945,065,608,646,210,045,721,
028,067,050,635,171,163,964,345,607,881,769,443,873,523,610,603,020,033,062,
460,704,353,439,244,823,597,544,502,391,767,783,787,370,295,648,483,927,049,
315,323,896,776,769,564,176,828,948,635,381,029,034,793,258,362,435,228,057,
411,770,642,471,533,031,017,540,597,323,239,650,884,020,173,571,385,728,120,
835,480,666,875,036,016,878,867,251,078,870,117,969,229,804,930,506,883,106,
510,835,418,431,083,567,838,368,426,692,803,180,995,747,111,270,913,032,461,
299,093,960,180,113,378,733,981,221,486,870,180,027,663,880,261,584,898,734,
419,805,239,716,195,066,544,418,643,105,394,007,687,283,086,315,846,189,563,
581,240,372,860,179,194,949,790,615,794,221,664,680,738,654,819,804,734,787,
838,683,071,457,509,077,301,725,435,743,072,570,291,241,879,235,448,955,181,
769,875,646,625,055,216,550,967,687,895,090,000,594,592,727,428,433,589,929,
533,511,952,967,021,166,597,905,290,023,182,463,764,194,031,643,016,787,431,
655,978,265,430,791,438,824,228,764,979,002,288,298,335,150,906,504,502,072,
566,688,848,669,940,951,001,300,221,010,525,606,241,906,208,499,969,629,317,
156,556,123,406,382,428,282,004,248,533,083,384,604,982,395,473,943,200,434,
777,657,342,277,761,158,121,142,728,296,382,659,093,335,185,148,470,216,733,
162,758,576,161,765,332,092,199,653,825,721,969,172,511,928,197,234,637,225,
262,821,457,696,321,197,666,564,316,195,246,600,327,534,572,232,599,686,104,
064,585,702,893,703,491,707,875,264,873,139,690,740,986,209,412,194,378,330,
110,323,878,204,081,577,732,655,414,239,858,075,857,418,091,146,448,985,975,
154,391,510,711,500,986,655,886,390,842,321,268,969,420,193,773,165,733,394,
996,634,002,101,130,272,791,792,338,595,117,335,886,836,704,717,266,729,151,
711,266,805,447,792,173,872,136,485,567,080,938,611,226,076,513,217,564,079,
775,641,078,263,223,826,304,672,933,702,555,705,329,876,470,020,905,260,466,
941,968,567,321,827,666,920,821,060,237,610,227,517,773,605,059,304,780,415,
423,761,495,507,499,148,571,810,630,880,926,453,192,296,036,537,396,312,069,
043,771,202,734,751,152,178,943,112,755,231,691,546,983,575,174,879,053,280,
296,372,936,949,309,911,258,844,511,924,043,712,353,812,149,473,327,438,433,
267,178,976,830,469,402,625,825,167,857,353,269,484,600,152,438,108,041,438,
322,545,120,270,204,184,866,968,966,320,969,119,679,863,642,287,836,836,849,
955,827,503,506,896,096,679,443,890,313,315,807,641,968,806,850,004,784,548,
478,022,744,708,526,043,742,425,494,312,025,165,264,354,450,977,581,517,403,
575,082,460,817,535,767,550,241,832,843,497,817,112,632,685,495,098,176,252,
299,133,906,530,950,468,186,239,983,326,921,190,675,122,751,406,069,479,717,
285,635,023,333,085,181,122,644,643,446,743,698,088,658,814,874,236,604,900,
102,241,642,663,215,275,256,463,380,229,254,736,849,407,574,191,933,462,035,
934,827,251,848,907,550,012,597,994,142,367,033,198,847,040,765,052,683,425,
560,741,281,219,298,534,385,602,685,555,756,643,446,921,096,871,246,051,732,
185,700,751,092,630,498,680,771,085,026,336,017,179,022,890,986,531,746,295,
684,138,624,671,165,864,111,613,249,390,241,644,421,073,049,490,758,556,637,
014,424,204,899,892,257,463,667,283,011,431,479,268,309,155,999,202,358,286,
980,477,187,639,785,384,607,360,767,334,275,645,341,947,449,745,804,016,756,
830,264,223,929,827,008,299,492,752,158,660,770,226,164,948,228,239,239,098,
067,954,481,865,832,347,214,972,161,887,302,074,472,908,204,353,400,964,023,
537,670,645,579,183,072,464,552,798,007,298,877,336,480,287,159,676,499,049,
835,002,850,466,842,291,044,871,743,862,842,281,337,051,800,159,746,078,709,
723,319,099,997,347,125,596,734,179,879,525,877,504,182,481,692,646,890,730,
718,603,305,263,995,002,839,858,315,297,598,757,350,827,049,634,329,399,521,
370,808,984,775,473,152,189,600,644,112,695,979,498,774,214,674,251,940,885,
668,783,893,147,711,218,873,591,957,661,725,213,185,107,083,282,263,525,513,
570,666,469,982,868,681,696,816,247,937,082,435,506,684,031,401,056,938,420,
567,253,066,359,840,660,086,058,580,756,551,013,374,282,438,416,218,768,121,
274,577,601,173,017,157,168,165,137,376,605,102,852,251,392,999,635,134,755,
840,061,054,393,368,142,915,630,496,139,727,583,295,737,664,645,849,668,989,
782,933,029,376,792,116,579,515,365,948,676,612,290,824,806,483,446,002,269,
864,712,673,731,581,314,417,009,569,751,948,279,419,807,148,998,921,509,391,
337,548,986,275,882,338,791,026,800,406,890,099,921,089,096,802,078,602,104,
554,066,863,361,847,904,196,772,030,632,856,220,609,488,779,926,761,361,871,
230,399,480,430,400,471,384,819,272,929,870,673,838,941,621,034,588,056,331,
020,536,470,629,321,587,604,290,195,161,475,198,681,946,308,648,805,275,496,
772,647,979,902,473,982,227,958,153,215,689,387,170,526,447,139,362,237,655,
939,281,102,103,375,561,601,828,452,996,534,104,673,136,954,032,126,387,169,
022,513,945,441,973,140,300,093,846,565,009,415,078,208,809,110,385,205,730,
168,232,575,591,166,112,331,338,169,214,311,960,531,322,780,598,108,679,386,
909,944,187,388,985,014,225,200,234,730,639,673,704,044,321,256,414,187,327,
357,329,208,836,193,882,506,726,322,085,872,409,536,597,962,561,000,277,676,
402,055,329,944,554,251,933,029,771,055,614,215,601,463,171,396,401,708,354,
272,433,769,503,065,427,247,157,779,092,164,869,708,961,861,017,851,187,391,
916,322,286,127,871,996,175,095,961,565,464,788,976,652,179,484,361,377,877,
384,673,017,080,540,472,443,961,252,038,624,147,076,318,846,338,187,737,663,
474,204,765,205,996,593,915,342,826,457,122,024,305,027,013,481,361,666,885,
874,726,578,059,209,481,325,347,568,504,386,318,089,785,602,555,448,874,621,
832,008,225,791,415,651,753,234,192,795,471,293,403,554,873,259,144,947,154,
228,149,622,633,096,457,514,798,562,631,279,217,662,383,540,548,515,537,295,
358,052,099,951,303,202,499,373,786,780,440,484,533,485,663,728,240,142,279,
531,666,924,388,113,600,604,290,850,768,549,050,918,557,080,643,520,693,493,
618,002,307,116,067,128,000,431,987,792,691,001,448,438,557,383,108,724,898,
125,842,791,038,060,372,739,702,725,218,576,351,613,534,121,540,696,758,262,
864,096,603,279,005,803,443,756,605,833,890,000,342,685,247,470,263,898,033,
728,966,924,232,390,558,692,507,938,584,429,561,666,574,429,642,168,325,444,
119,418,896,647,420,993,655,495,456,517,060,940,666,561,347,330,750,623,803,
000,923,243,925,611,302,518,753,903,722,253,191,818,021,030,754,229,266,199,
923,152,292,947,193,655,645,990,783,010,628,896,039,671,357,344,281,585,661,
469,935,968,739,137,376,499,212,988,834,629,977,174,072,229,163,537,117,681,
579,083,518,660,040,199,176,435,610,739,951,636,285,843,359,185,149,992,646,
690,567,640,374,186,147,322,104,942,496,227,143,224,411,690,239,143,144,417,
409,704,458,246,815,959,150,939,088,694,081,301,047,349,640,671,190,544,134,
430,578,326,831,530,919,399,031,949,380,963,746,939,394,907,863,704,712,417,
484,784,473,757,107,113,256,164,104,558,782,735,334,151,322,935,548,874,968,
015,424,540,947,143,262,097,546,529,747,187,352,834,604,912,408,942,728,727,
472,603,751,988,841,642,150,485,199,048,375,984,094,201,340,569,707,645,716,
104,604,257,672,687,044,078,856,858,457,522,806,532,795,577,562,421,459,732,
555,546,459,691,464,966,701,375,410,486,031,470,374,357,632,541,208,426,975,
525,306,496,643,572,912,953,110,195,876,920,003,931,316,132,320,485,051,290,
809,843,799,191,823,761,910,396,960,970,046,370,414,314,367,142,868,940,774,
855,961,948,938,185,418,092,834,921,129,385,403,707,238,716,628,058,373,579,
614,985,455,645,625,114,537,529,900,421,745,921,029,202,572,948,379,244,964,
906,640,013,455,899,153,371,153,393,443,499,721,238,360,418,206,383,180,905,
479,687,070,180,027,091,113,819,210,288,884,028,786,903,830,652,007,931,410,
899,831,671,772,531,542,272,133,829,127,965,808,301,003,095,964,095,016,485,
939,652,705,316,295,960,640,091,423,855,113,152,786,622,820,852,981,736,884,
296,039,503,774,835,534,037,724,939,719,759,012,848,069,011,008,142,622,234,
147,884,535,610,880,004,545,395,033,627,349,782,572,868,494,760,506,353,917,
509,831,931,321,155,930,095,638,749,316,899,169,605,333,817,763,551,241,618,
904,805,373,685,841,106,118,052,535,881,169,006,268,993,532,641,809,013,028,
439,183,732,590,000,764,823,896,274,041,678,660,208,697,919,544,331,355,758,
463,880,282,156,369,918,495,234,518,074,966,138,464,298,703,256,295,114,737,
401,717,405,562,610,495,984,166,877,145,070,134,308,753,491,819,510,370,639,
985,458,073,431,627,225,583,780,985,123,017,997,493,417,351,352,679,893,161,
870,289,980,883,287,764,386,734,795,705,913,978,872,855,128,309,507,183,202,
333,769,262,237,972,331,675,371,893,667,483,029,775,544,205,576,414,507,726,
270,519,949,740,101,472,993,906,249,619,319,247,203,828,735,445,352,794,892,
819,249,871,595,795,675,171,477,485,575,385,800,098,758,470,155,181,642,111,
023,183,011,094,325,288,021,702,375,814,279,297,163,083,101,080,392,007,072,
852,473,605,526,247,885,760,813,485,681,060,282,958,208,217,673,852,398,385,
697,933,337,563,419,035,347,691,257,969,077,921,228,678,761,804,253,994,488,
755,235,294,921,778,345,313,603,345,964,095,098,847,102,477,925,011,410,372,
305,755,081,821,362,439,232,021,715,275,574,842,889,468,579,134,444,747,380,
793,094,979,318,536,646,547,067,889,903,335,649,947,602,901,200,655,935,211,
158,627,063,397,846,894,224,063,220,426,228,198,342,537,892,626,390,792,200,
956,807,917,791,916,149,542,916,244,163,399,890,018,522,940,613,590,209,925,
417,292,546,893,534,548,340,410,451,699,264,383,972,503,971,825,327,014,084,
002,611,549,974,787,231,805,460,787,743,105,841,896,720,836,432,664,410,643,
989,364,212,643,746,678,946,162,999,945,336,534,103,248,111,204,315,098,103,
422,847,967,282,062,431,812,926,523,772,870,574,379,796,899,960,236,897,697,
240,413,108,351,580,585,091,249,875,810,937,156,977,463,389,536,983,382,752,
417,496,143,816,675,026,375,648,486,481,530,134,853,225,128,920,347,050,728,
808,229,194,567,907,521,161,152,917,743,545,791,751,599,134,037,485,460,459,
703,723,427,099,429,522,719,362,737,782,574,160,869,054,387,760,597,066,110,
194,426,134,390,448,717,394,658,596,468,147,155,932,088,695,636,681,048,592,
440,715,750,416,844,756,860,083,010,882,190,143,114,453,571,684,480,104,105,
049,628,966,505,776,078,091,050,624,681,062,493,608,133,409,888,273,551,869,
031,888,693,123,389,395,234,481,497,118,269,184,793,076,837,019,182,958,604,
301,870,393,384,065,559,994,745,216,942,837,264,182,725,099,542,971,802,996,
664,815,768,309,620,115,928,184,515,526,236,130,517,422,389,331,437,741,712,
697,171,451,369,801,256,262,400,764,569,910,141,343,124,868,305,626,058,715,
045,430,944,541,120,502,106,032,063,052,202,412,976,973,936,613,198,434,973,
022,049,763,111,974,705,871,181,623,911,634,829,383,767,889,882,167,964,026,
223,561,901,060,149,112,583,793,411,207,674,981,774,250,157,540,121,288,562,
721,291,912,455,592,616,054,675,216,648,869,353,989,609,025,893,390,985,610,
229,096,075,644,206,574,716,552,743,609,651,738,749,268,990,793,979,454,602,
663,859,210,209,601,887,328,390,876,459,452,365,160,685,637,372,683,585,712,
197,895,391,954,952,737,637,017,344,794,078,143,233,537,438,173,735,930,602,
497,090,777,936,365,309,476,565,982,396,518,046,434,300,719,175,593,425,546,
431,707,908,919,712,496,790,187,090,043,124,798,303,725,020,791,890,405,062,
876,524,522,562,205,190,474,990,299,409,982,201,397,197,836,566,742,957,943,
681,986,364,290,739,015,404,983,842,210,913,373,335,937,989,101,213,911,124,
706,955,902,418,635,491,605,603,605,653,305,080,219,155,900,147,234,349,002,
291,063,713,786,182,943,807,942,922,733,016,375,609,704,006,696,167,466,842,
962,241,327,377,476,918,589,128,807,594,238,955,176,052,766,945,726,676,519,
739,589,658,934,452,775,223,402,193,062,048,643,507,230,877,861,009,339,184,
055,155,680,695,832,173,197,500,728,812,957,550,629,274,300,339,502,576,791,
101,258,987,838,084,988,242,551,055,794,064,368,363,333,964,333,379,850,127,
695,659,471,047,134,784,300,971,755,699,265,315,153,203,216,161,351,125,706,
864,263,404,862,519,665,491,476,163,074,369,750,850,815,078,208,125,792,633,
862,854,355,724,293,152,469,972,637,404,222,703,211,580,541,960,710,855,636,
747,752,012,288,901,304,594,413,740,160,770,766,764,775,097,702,670,682,910,
854,573,847,140,521,081,921,978,758,606,184,347,366,050,120,889,546,089,227,
647,484,711,179,283,434,909,375,296,513,063,151,181,351,012,017,870,277,694,
744,953,582,937,827,402,558,273,211,935,133,504,420,536,612,102,176,597,658,
016,434,885,560,296,217,768,165,917,809,804,153,228,960,282,800,801,779,035,
802,646,886,393,399,535,716,760,077,168,324,668,555,335,118,209,701,022,608,
558,765,053,727,849,386,061,150,258,578,086,175,093,166,361,175,849,245,927,
240,470,280,344,431,798,072,572,549,269,849,726,445,854,470,724,883,796,061,
310,219,330,666,191,003,672,981,713,188,306,510,043,590,846,237,966,734,849,
540,765,206,503,280,377,872,453,030,723,807,254,123,134,263,290,465,706,242,
246,928,806,131,676,687,473,960,371,663,726,465,534,837,486,907,305,836,942,
169,287,391,573,035,709,671,363,437,681,175,687,336,750,164,630,602,727,930,
268,466,888,157,733,183,985,268,810,749,104,745,608,016,705,387,721,863,571,
149,959,392,566,802,010,462,497,230,585,276,332,414,729,728,722,695,897,032,
132,383,757,509,702,803,152,970,257,962,803,237,040,009,228,070,300,477,794,
679,501,817,774,031,167,578,457,569,056,953,937,956,495,482,158,575,281,868,
499,743,192,635,895,916,784,410,328,944,875,427,911,392,761,741,883,712,870,
268,006,003,839,448,345,988,847,491,745,820,507,624,653,699,064,017,106,269,
840,389,183,840,529,377,266,471,893,724,613,754,849,192,469,498,286,141,395,
183,498,878,699,367,349,324,296,628,236,667,979,654,853,239,878,287,545,507,
931,061,203,576,209,239,091,232,805,467,182,375,821,172,485,166,653,569,188,
517,918,699,468,605,911,240,446,228,428,423,379,581,596,678,400,091,630,100,
272,928,778,561,537,838,378,455,447,480,593,012,167,008,391,018,582,212,930,
871,722,998,664,245,578,570,742,774,352,683,457,192,702,563,823,661,977,612,
438,212,122,894,753,665,131,012,287,627,322,009,004,210,442,187,470,870,538,
684,468,936,395,466,232,722,864,378,198,645,763,992,928,943,825,014,047,737,
884,001,930,991,006,652,719,947,938,261,380,212,477,366,508,706,121,359,198,
858,270,764,369,590,420,869,864,628,078,985,916,472,635,862,923,056,281,719,
604,808,677,075,149,925,929,714,797,068,982,142,173,483,692,948,946,685,810,
562,135,262,762,898,453,790,422,982,523,068,990,618,287,630,057,118,768,730,
649,143,380,925,243,583,464,535,462,238,738,613,027,468,808,580,119,398,237,
415,655,964,062,408,512,107,402,171,998,904,174,491,003,902,046,431,693,359,
814,426,852,558,417,285,656,441,289,043,220,439,214,027,790,015,300,805,670,
407,902,978,579,121,710,118,245,951,422,788,151,120,882,796,366,333,132,071,
668,689,192,033,954,676,603,981,546,464,756,982,203,917,069,059,553,713,102,
563,004,963,103,904,021,602,043,653,904,048,072,484,646,194,221,160,568,781,
934,714,682,601,191,808,742,866,990,167,242,695,076,181,211,359,706,164,892,
040,354,689,741,800,549,824,603,816,806,304,989,645,872,912,561,194,518,281,
280,475,810,987,908,046,929,742,645,462,164,192,927,417,892,370,689,564,251,
037,717,314,899,287,634,197,595,564,418,206,213,003,440,315,720,757,572,435,
138,979,028,761,784,874,665,234,799,971,839,064,313,025,650,948,788,399,346,
002,065,720,217,741,660,949,834,725,367,491,137,947,755,555,077,527,238,869,
832,174,368,001,423,414,748,433,681,549,755,338,664,871,426,814,494,043,910,
381,495,525,523,178,807,351,971,034,783,236,249,490,401,049,737,353,674,859,
224,448,877,643,732,285,282,931,199,406,281,627,690,770,939,670,367,565,146,
622,960,135,757,321,609,332,574,086,579,510,298,271,136,428,024,107,736,856,
420,103,886,236,452,349,010,108,209,221,372,738,450,922,180,865,987,162,095,
933,141,042,190,097,888,328,099,929,809,667,386,096,773,738,601,553,927,118,
734,367,638,846,897,564,379,266,361,622,609,027,753,808,013,818,972,649,541,
601,525,885,826,637,807,027,159,544,057,587,773,779,231,922,077,720,172,738,
620,197,291,264,579,935,177,318,501,773,681,320,230,740,925,645,691,321,172,
708,204,032,741,594,045,848,605,989,478,427,968,662,153,669,498,836,567,629,
499,004,251,986,138,555,821,426,448,946,745,659,073,875,022,249,962,509,673,
205,897,285,199,525,816,608,442,296,152,924,975,953,637,206,081,885,781,495,
766,276,057,889,968,296,616,138,549,015,782,511,120,967,796,123,369,545,485,
915,449,107,292,375,264,247,970,322,646,600,983,055,414,982,318,444,764,517,
967,945,599,778,565,380,393,250,579,870,217,807,177,071,510,180,002,872,274,
101,552,960,291,190,059,551,620,441,642,644,841,153,846,451,524,367,138,719,
027,915,625,959,571,788,009,125,436,179,597,645,746,676,566,597,054,835,737,
866,147,194,222,264,677,159,617,698,217,670,699,529,988,021,036,789,046,562,
832,435,589,635,168,836,431,106,379,843,688,243,907,480,373,774,812,098,311,
975,484,319,785,650,764,214,267,868,153,298,179,419,980,829,737,321,447,243,
930,342,767,649,705,396,465,558,057,422,606,178,866,708,933,836,271,954,078,
710,233,167,624,255,495,360,617,591,095,562,693,378,317,745,749,487,902,835,
809,455,240,941,920,625,989,620,373,398,930,185,380,796,494,832,860,262,631,
220,632,881,997,878,392,563,389,380,190,760,039,272,417,181,442,122,837,619,
556,303,935,140,741,961,011,782,119,368,175,097,762,437,429,244,923,499,068,
234,133,543,538,668,617,176,251,860,647,845,585,761,836,948,762,211,268,680,
334,457,408,097,894,175,023,311,906,956,296,959,895,197,100,743,236,831,963,
592,413,012,645,341,945,563,970,063,506,575,954,989,704,278,628,672,386,194,
762,727,932,281,653,038,187,369,654,517,579,589,064,105,202,556,331,339,455,
308,819,682,661,140,131,395,827,958,604,045,291,790,276,228,218,256,595,497,
691,514,441,814,483,915,829,233,677,378,408,550,050,489,955,949,836,069,485,
942,847,934,452,931,862,976,961,171,347,034,344,854,794,541,179,881,788,093,
349,105,561,104,489,075,096,231,859,679,950,889,391,164,423,644,797,783,096,
190,812,918,420,579,478,265,848,496,636,257,286,967,028,503,682,767,582,374,
427,206,210,429,966,039,531,828,281,671,547,700,228,136,506,692,745,935,408,
662,118,763,213,208,743,643,413,943,441,438,325,340,154,004,148,289,120,387,
498,723,084,517,434,279,132,809,790,587,507,797,477,220,389,245,565,195,964,
489,697,452,207,987,154,624,867,695,832,167,106,734,373,537,824,090,664,648,
198,439,910,034,977,837,631,336,940,775,712,166,249,933,234,649,246,395,679,
493,783,730,390,169,944,834,614,621,345,651,849,152,317,671,276,438,227,556,
259,994,224,362,642,673,627,582,792,159,774,378,971,193,054,007,276,994,432,
562,497,536,750,605,689,592,971,837,611,286,011,072,064,170,081,092,659,938,
208,470,304,404,926,194,118,341,310,110,163,587,102,622,096,855,993,352,875,
745,871,513,234,545,914,924,500,435,637,404,766,503,803,188,850,020,196,217,
992,360,390,311,068,777,149,801,103,648,536,275,117,117,056,171,961,846,610,
061,430,210,733,452,045,963,938,098,068,588,976,805,973,011,816,463,701,667,
228,963,147,474,621,602,179,657,611,822,461,503,162,411,577,803,730,695,046,
219,201,778,973,435,463,617,782,708,798,966,492,208,115,139,220,479,000,831,
526,439,607,859,144,077,829,996,566,168,316,841,748,100,931,504,004,034,338,
770,011,649,383,242,780,753,940,334,972,585,880,667,088,206,787,790,485,079,
371,737,986,833,549,186,295,460,918,275,802,359,679,955,755,251,511,228,195,
194,272,534,183,003,108,209,750,459,263,477,025,738,222,227,140,686,125,578,
400,717,774,895,531,736,078,978,320,705,199,361,235,978,894,227,394,716,890,
141,440,136,755,782,430,316,621,388,715,011,045,290,273,700,642,411,018,727,
222,392,458,335,543,070,966,050,318,876,204,394,542,936,445,151,923,902,376,
864,079,068,532,968,145,313,471,420,311,399,956,508,410,586,163,079,850,565,
561,570,393,369,373,025,124,865,929,307,596,810,363,808,785,112,863,116,210,
833,426,098,140,158,511,959,993,721,432,729,962,496,485,128,934,858,048,337,
312,849,745,243,466,060,202,273,707,094,910,095,139,016,863,271,817,578,697,
565,103,058,058,222,067,839,739,821,024,277,825,270,431,234,306,324,622,203,
300,975,038,076,297,614,374,363,344,412,111,198,408,487,989,268,164,789,507,
438,989,073,177,603,680,448,970,860,023,989,029,489,025,943,797,597,897,509,
435,709,801,339,024,465,691,034,761,005,134,227,675,821,797,802,040,431,301,
532,048,375,949,462,624,091,557,279,362,109,848,170,263,628,712,327,175,896,
706,928,117,948,821,208,463,583,847,089,609,944,041,958,279,929,803,074,858,
681,903,097,160,798,419,970,609,785,517,651,687,076,391,257,816,527,044,248,
902,349,548,131,726,079,600,002,150,130,045,638,817,434,333,314,914,687,434,
556,148,715,839,749,381,801,158,339,388,033,402,304,185,466,663,245,917,880,
930,959,883,262,250,335,755,078,513,850,360,528,308,190,426,601,329,443,904,
543,103,526,992,879,383,188,163,174,722,345,992,152,563,053,723,580,337,346,
168,280,048,786,900,217,730,179,827,683,602,645,457,171,607,113,166,140,260,
735,952,438,100,269,291,264,730,180,810,418,346,035,361,842,621,931,923,338,
237,980,053,596,991,240,826,120,218,312,304,572,399,226,924,303,819,114,097,
752,510,200,841,270,135,135,413,251,589,331,940,843,175,630,349,239,493,741,
122,314,572,961,375,393,541,829,470,742,164,652,978,305,917,066,612,058,704,
363,322,734,914,424,609,193,080,993,264,325,405,991,884,353,516,434,256,167,
785,995,052,227,491,011,487,724,554,072,277,384,918,518,401,860,624,305,985,
267,943,387,849,312,494,585,674,587,106,306,206,815,758,383,585,918,113,338,
073,919,491,216,714,127,362,242,334,826,025,202,352,885,272,198,706,985,991,
164,996,181,674,065,021,576,432,511,979,539,605,289,626,665,741,053,438,475,
289,933,025,565,211,366,630,604,406,468,006,529,604,995,780,461,509,432,246,
348,820,224,638,658,964,520,033,008,173,565,527,335,009,336,216,944,300,824,
399,921,498,473,178,832,411,601,147,131,268,970,035,569,353,010,776,227,644,
970,377,093,382,828,751,483,707,502,600,477,977,684,052,892,738,754,871,164,
729,225,830,845,282,108,925,840,128,127,806,130,011,158,036,398,145,953,385,
892,450,079,085,874,503,564,566,751,711,146,665,766,626,092,377,468,565,655,
277,068,914,856,089,769,587,532,658,726,306,673,143,447,572,143,209,709,335,
480,787,887,916,634,974,062,926,531,993,473,758,635,449,724,434,143,954,870,
838,861,614,180,335,617,499,880,877,718,683,577,016,058,654,502,168,968,877,
515,708,076,125,686,786,315,168,684,585,632,121,269,697,169,061,064,581,214,
417,363,880,113,784,357,212,890,846,552,049,825,720,676,982,366,851,340,293,
803,575,615,376,533,348,501,348,159,469,036,088,418,389,242,036,106,492,347,
798,835,315,238,218,023,065,600,420,564,271,705,563,221,259,892,639,529,968,
675,540,217,500,611,944,365,378,336,754,540,252,422,966,712,634,093,221,451,
838,104,923,256,781,859,060,858,040,878,308,148,002,536,040,116,778,743,065,
668,905,284,349,607,995,692,291,081,525,312,848,015,928,956,520,358,524,895,
748,444,036,938,177,249,459,070,789,498,270,635,580,888,644,771,130,350,162,
343,116,010,307,045,465,264,069,596,800,740,527,346,263,363,366,946,187,620,
940,145,546,160,822,664,077,279,034,130,881,348,085,663,658,358,067,031,618,
940,901,422,708,952,451,826,912,460,205,515,136,170,184,223,445,292,956,809,
125,940,792,672,621,414,386,675,323,988,080,735,216,648,367,992,568,659,132,
692,492,026,358,125,997,845,466,000,172,976,945,148,150,339,523,123,684,980,
382,045,554,408,074,943,714,045,701,490,623,929,437,686,316,632,041,322,760,
745,345,004,023,470,370,922,165,434,872,085,291,809,217,172,676,291,374,569,
895,437,363,054,922,593,815,446,687,497,485,113,931,555,904,210,475,231,708,
931,561,819,773,182,893,562,054,297,390,092,481,822,106,978,067,055,732,319,
560,052,234,167,792,087,254,327,816,598,649,727,507,635,060,089,083,774,310,
705,120,839,815,991,427,773,350,983,201,785,292,983,978,316,179,402,004,094,
595,238,315,334,755,918,241,050,458,388,087,021,205,306,337,148,638,337,643,
233,289,792,854,324,804,089,769,110,625,033,425,895,160,868,365,369,462,924,
595,966,660,953,102,801,687,030,490,574,722,826,506,201,432,287,553,369,904,
058,241,787,288,152,992,592,775,743,336,230,775,653,526,981,599,510,931,225,
749,091,123,137,162,903,769,172,228,848,776,200,329,278,899,500,427,322,234,
269,834,398,962,058,094,267,105,616,213,129,388,893,904,502,156,388,711,487,
617,974,808,568,914,706,797,501,774,015,257,070,168,617,788,610,957,368,324,
986,791,720,079,205,522,440,014,157,183,122,808,203,514,991,067,813,060,116,
804,193,484,312,652,310,977,087,355,814,366,661,290,180,135,125,277,217,999,
681,356,905,877,713,628,141,946,671,777,021,762,280,692,787,532,712,121,154,
708,413,582,779,627,646,487,312,991,046,265,702,506,879,597,233,682,398,544,
261,545,947,995,553,302,593,210,857,074,759,729,408,857,666,820,734,192,944,
862,003,205,223,212,206,532,983,035,242,184,655,432,433,316,613,243,911,998,
721,723,655,357,489,723,559,836,597,824,074,789,094,505,185,891,240,581,708,
370,206,275,562,295,415,625,957,358,714,373,786,728,354,311,616,058,392,808,
170,688,460,614,756,298,649,551,927,046,628,311,069,944,902,677,372,688,518,
118,161,363,566,990,359,818,974,512,529,904,263,280,270,226,834,243,056,466,
608,192,602,098,807,030,991,332,983,369,282,107,201,323,780,606,759,901,485,
280,046,512,387,082,534,873,529,760,733,580,122,899,238,030,013,364,072,729,
900,913,897,447,650,334,899,663,041,776,826,074,478,945,111,619,822,349,882,
198,703,819,487,007,624,977,118,792,607,106,013,457,874,060,134,555,659,860,
571,764,333,621,809,889,144,698,927,124,620,171,083,990,117,109,830,825,149,
546,404,913,317,159,546,836,324,875,289,870,273,891,191,561,054,083,941,692,
453,582,272,629,347,036,258,715,014,455,444,291,623,832,437,325,761,421,637,
919,492,467,688,217,878,290,904,998,577,301,033,680,987,319,937,677,784,242,
645,430,992,016,320,284,596,084,612,068,890,796,841,893,332,429,704,087,828,
236,200,679,877,272,542,287,963,513,645,568,913,487,445,411,015,132,633,271,
657,921,589,983,044,187,722,321,349,663,606,002,607,434,068,654,906,498,638,
805,911,261,673,447,345,147,357,199,965,297,837,316,851,846,626,037,897,976,
910,871,024,306,618,211,670,527,179,619,694,008,049,571,382,701,913,439,654,
399,965,474,288,265,993,165,517,289,413,823,609,722,227,935,790,904,049,295,
607,819,195,862,332,582,789,338,723,773,518,459,521,773,571,179,180,186,314,
054,001,463,323,074,478,279,961,021,732,040,751,909,162,225,636,564,352,284,
895,163,826,986,332,365,482,063,359,199,028,665,513,879,886,556,831,218,339,
867,270,874,940,774,947,450,243,276,965,618,060,733,711,015,028,897,704,663,
582,119,262,811,231,752,322,958,289,069,748,262,158,102,508,278,467,853,775,
632,001,912,846,100,558,430,349,464,731,140,874,789,749,232,712,029,519,310,
103,988,875,139,303,206,165,003,878,322,267,421,804,715,738,287,373,830,872,
767,318,740,890,964,212,001,872,752,536,573,120,695,203,110,739,550,483,510,
671,448,645,695,223,676,849,128,114,112,546,615,746,409,222,102,172,652,179,
113,359,881,890,833,569,652,614,357,368,546,090,711,679,200,221,564,730,037,
084,535,505,429,832,401,488,678,672,458,307,848,517,255,286,270,719,064,180,
664,789,033,193,035,786,652,564,565,642,580,649,672,388,506,746,754,496,958,
479,107,869,069,189,603,778,221,419,995,458,208,057,766,257,188,740,168,909,
287,729,652,973,677,912,391,563,428,292,086,511,935,196,882,970,353,779,690,
916,899,250,984,092,929,141,768,076,714,877,440,579,059,305,253,552,390,594,
962,872,526,269,689,770,941,674,691,938,432,471,092,173,395,561,759,182,200,
135,384,014,598,681,715,685,786,533,771,568,748,417,807,995,486,917,353,157,
560,657,924,686,260,828,148,018,264,239,873,556,009,304,526,346,621,229,301,
094,934,557,860,889,291,633,360,253,950,967,359,781,325,796,414,456,740,032,
633,830,174,965,981,391,447,337,453,127,469,616,437,404,619,097,474,410,186,
975,586,433,562,231,511,611,204,074,779,806,850,966,861,315,511,533,618,621,
173,755,584,832,241,712,968,231,279,626,212,136,595,777,684,798,851,834,902,
078,936,213,715,228,522,923,446,760,632,199,075,558,982,992,686,984,253,148,
518,680,265,140,592,030,429,563,939,092,269,389,323,062,721,737,567,866,839,
199,463,570,950,608,710,039,860,695,240,128,661,403,513,564,851,226,306,154,
795,315,601,255,878,309,844,125,164,753,846,437,927,937,455,880,594,201,841,
709,588,448,469,275,199,824,395,269,217,642,824,260,328,811,305,382,829,754,
790,264,437,740,649,460,405,186,921,517,797,513,083,103,612,294,664,079,502,
790,539,109,922,269,143,499,318,182,941,064,368,741,129,571,025,205,242,062,
144,556,481,651,841,158,807,659,278,357,142,318,100,847,773,060,390,785,672,
183,945,159,065,322,911,032,978,169,015,323,328,146,530,517,954,642,069,790,
590,529,772,638,569,201,812,157,204,698,005,227,672,267,053,865,454,231,391,
675,482,267,533,891,153,680,478,738,326,385,022,671,507,679,204,568,608,913,
787,415,036,603,923,027,557,019,622,390,246,029,486,008,503,236,634,575,199,
622,226,529,051,004,241,157,309,817,943,841,797,010,037,190,881,683,211,024,
430,584,133,700,662,279,428,236,094,501,874,721,877,813,098,270,291,602,488,
806,757,847,945,244,471,771,460,442,660,727,550,155,252,250,687,303,362,739,
748,570,614,518,053,010,152,552,234,935,191,311,976,553,328,270,541,779,180,
785,579,311,933,817,231,941,293,774,628,166,026,922,041,124,197,825,177,308,
272,831,483,536,127,852,852,242,608,187,781,846,840,645,654,114,400,930,996,
702,909,405,690,503,149,055,855,667,131,079,684,186,960,109,576,467,206,313,
418,885,606,527,717,013,126,731,396,035,338,163,374,804,686,956,898,064,063,
680,846,227,175,124,289,795,906,737,085,383,876,414,538,930,128,303,007,985,
272,487,025,816,700,142,014,469,362,717,215,580,376,033,713,887,975,466,057,
159,236,692,680,221,332,854,085,020,987,159,024,237,012,628,604,760,796,092,
523,878,538,373,001,074,820,113,903,804,560,132,875,781,490,082,377,275,037,
300,487,271,388,855,084,193,707,545,623,064,020,877,139,013,191,875,782,594,
554,876,278,948,420,891,213,468,694,938,262,637,632,173,835,476,062,826,554,
272,006,194,587,917,017,107,796,839,646,879,259,279,485,879,236,450,531,498,
548,614,650,699,977,934,540,497,525,572,010,482,317,257,713,683,717,945,676,
957,332,107,132,184,678,629,570,304,485,824,857,443,741,692,604,110,831,936,
199,826,515,897,949,833,176,821,437,441,629,715,074,339,607,520,129,675,495,
127,695,931,019,087,129,689,611,295,072,976,418,493,402,644,844,025,203,310,
265,024,922,108,716,580,236,488,446,040,273,712,815,351,454,893,404,676,349,
261,544,422,123,322,568,261,013,479,634,250,254,019,655,310,996,394,520,595,
848,897,973,435,035,849,640,813,085,514,427,088,718,778,893,471,037,483,069,
584,404,437,062,707,602,921,874,191,378,900,604,509,096,006,890,952,003,742,
840,231,342,580,777,415,459,362,999,788,432,633,919,681,050,879,744,177,544,
755,491,141,836,231,107,878,160,799,412,452,713,886,579,205,799,910,638,838,
523,705,674,856,600,160,893,643,988,319,625,158,664,745,085,366,096,256,853,
848,734,334,393,551,516,999,584,749,405,543,756,955,961,905,343,873,506,921,
885,022,676,775,348,001,073,145,399,725,460,713,003,874,075,754,816,057,291,
642,236,107,368,772,462,900,068,599,506,498,164,607,980,357,200,209,849,949,
357,166,557,794,751,209,289,752,473,066,031,719,853,853,021,801,527,632,902,
462,440,842,821,179,018,888,975,361,204,800,534,414,111,525,355,112,064,012,
246,844,388,258,986,666,070,782,661,507,640,071,432,105,710,440,187,890,565,
935,955,103,699,541,749,233,956,662,400,040,613,275,267,898,621,647,329,690,
459,159,878,170,380,589,505,823,550,411,695,102,992,358,419,093,369,756,970,
367,113,340,534,720,773,641,369,737,588,206,795,024,172,138,626,087,019,563,
755,659,734,751,063,256,571,845,500,534,236,184,368,871,011,222,623,753,959,
790,206,072,623,645,704,438,605,800,990,868,932,837,190,082,362,170,872,705,
796,890,181,277,321,389,142,086,223,935,661,533,071,653,812,082,849,321,986,
815,022,802,085,876,071,511,631,262,418,928,103,675,544,247,852,729,614,709,
592,011,481,149,931,398,911,707,226,835,353,387,798,199,128,263,594,309,531,
873,425,280,924,863,813,232,895,986,942,363,307,978,304,233,834,056,915,516,
313,960,302,013,098,615,610,948,979,310,862,657,376,183,864,007,198,168,728,
344,065,949,150,267,505,371,466,848,615,475,197,535,602,479,408,101,198,309,
667,683,344,085,806,961,875,818,605,433,370,345,261,862,762,670,591,505,101,
533,429,312,415,586,203,811,362,374,877,526,582,182,546,459,843,482,412,529,
131,309,026,731,348,098,875,034,470,386,099,644,826,107,565,168,805,600,402,
731,968,084,353,112,877,527,037,861,668,922,325,314,993,828,544,549,433,478,
031,239,223,139,257,282,017,561,329,748,302,296,430,269,692,409,179,984,859,
236,891,070,655,209,860,664,296,425,616,746,256,630,043,777,000,515,005,307,
277,068,155,035,478,419,940,197,487,986,810,649,477,091,020,195,455,294,505,
319,480,870,779,222,961,924,205,667,869,651,800,335,943,008,563,295,711,541,
731,387,324,730,438,220,590,115,954,112,269,245,341,436,287,325,285,441,804,
233,811,649,331,362,364,262,239,849,075,730,171,467,782,519,795,268,798,164,
697,193,804,541,706,363,922,313,034,977,516,917,367,268,609,625,432,589,171,
941,135,739,344,719,591,057,505,793,732,615,061,220,071,248,593,901,022,973,
379,788,428,093,417,512,539,011,894,960,062,632,554,905,388,630,818,409,428,
099,986,564,759,916,370,118,866,561,871,951,041,278,942,731,514,410,775,421,
953,661,239,434,771,745,282,057,392,979,631,221,237,045,994,400,618,742,290,
725,530,876,029,541,852,023,256,014,980,824,427,660,291,357,641,639,215,115,
782,077,635,423,377,423,589,937,847,446,454,130,603,401,209,696,520,756,584,
856,155,863,826,371,700,339,458,789,979,088,093,872,119,481,725,417,546,621,
180,205,447,630,577,869,894,294,006,043,284,235,707,681,003,493,338,383,704,
665,111,117,802,774,227,060,694,224,178,582,984,273,167,059,990,368,759,418,
921,812,530,276,246,460,761,030,969,051,821,518,062,439,689,349,096,310,745,
302,843,069,368,497,970,469,087,682,914,725,373,917,514,349,095,466,485,753,
612,115,817,933,017,877,806,110,594,451,901,909,126,608,837,938,846,895,855,
141,353,573,714,868,510,150,503,194,012,898,019,963,171,286,715,763,511,109,
187,535,337,246,593,053,037,615,194,148,508,678,569,490,389,680,203,847,541,
210,100,173,039,576,005,673,322,395,754,107,905,306,343,682,871,716,256,615,
732,606,650,740,517,586,387,455,343,309,154,621,300,890,311,504,112,969,437,
252,178,566,947,128,698,895,467,077,321,653,755,684,791,692,650,809,951,231,
713,499,314,710,591,632,766,206,825,709,290,770,352,994,462,771,940,062,309,
585,715,224,296,407,330,667,494,619,699,828,384,877,817,032,936,033,174,133,
820,705,364,150,616,228,131,228,633,194,897,462,259,748,591,754,986,965,183,
630,756,682,583,497,738,790,908,261,600,557,259,783,330,200,075,293,763,190,
099,058,477,872,118,739,832,885,048,616,196,951,021,084,984,921,606,817,958,
291,784,373,953,565,906,524,265,323,935,789,333,350,540,716,032,079,069,906,
559,131,903,440,534,965,573,748,149,206,911,950,875,653,942,672,710,458,344,
772,142,049,745,829,015,562,983,060,677,657,867,006,793,972,819,456,256,211,
814,594,971,411,300,102,566,824,418,035,754,909,293,879,957,549,910,933,026,
810,430,907,161,748,855,946,455,203,468,597,419,285,878,592,990,477,410,718,
703,550,149,428,039,489,353,908,828,473,188,027,792,048,192,359,401,114,876,
428,745,204,929,058,624,431,783,484,041,103,852,930,461,997,807,476,482,211,
498,541,165,227,029,972,264,069,443,704,935,556,688,978,504,789,113,442,780,
066,534,213,839,189,830,114,058,038,778,695,329,464,648,126,280,525,249,036,
593,718,073,925,905,388,214,816,826,077,647,524,179,342,312,941,216,419,994,
167,600,875,153,032,354,247,008,257,970,051,983,548,979,663,929,542,049,537,
042,338,147,732,003,272,154,448,410,566,346,459,080,372,906,742,610,350,903,
640,258,382,964,363,332,252,002,680,815,739,357,227,873,332,302,171,663,159,
317,439,756,340,461,642,051,784,801,385,415,481,446,616,019,798,983,027,868,
509,236,535,510,503,314,623,287,028,664,188,520,438,219,581,721,534,100,040,
741,755,275,399,885,704,336,863,456,201,384,615,235,996,021,344,561,157,106,
582,168,988,927,781,908,488,552,231,283,178,375,743,429,550,745,053,259,390,
333,676,263,940,089,465,498,253,797,477,030,644,525,121,322,557,651,688,663,
198,313,079,943,251,552,952,590,009,514,068,918,219,382,414,558,461,660,191,
378,486,965,265,010,648,436,975,800,608,610,445,940,600,427,921,226,326,560,
812,037,938,432,054,900,826,823,551,108,150,260,640,919,450,211,649,013,466,
256,765,799,697,201,120,250,132,309,069,096,918,076,557,706,925,286,318,194,
725,707,133,640,778,137,683,207,947,441,669,913,426,193,737,291,467,683,960,
505,193,665,318,293,229,659,606,280,118,401,668,606,806,124,596,813,884,604,
564,212,431,194,157,227,718,450,883,727,844,024,110,651,549,391,427,199,988,
381,446,920,323,820,860,556,895,955,834,652,572,019,076,541,656,667,186,925,
908,175,457,919,615,732,016,534,372,393,936,137,417,205,158,954,982,401,857,
579,391,914,798,478,537,862,853,078,565,558,438,959,990,623,625,473,786,721,
131,717,398,576,463,511,319,801,133,655,154,507,399,102,015,484,596,882,660,
067,901,493,797,656,321,399,705,650,210,224,102,906,330,641,599,669,738,674,
939,450,778,243,368,897,046,905,424,472,824,735,708,222,218,024,575,672,627,
271,422,905,162,974,900,326,505,126,293,462,617,078,642,645,521,749,820,943,
223,706,932,917,626,034,074,342,615,788,718,532,569,376,541,696,705,381,536,
446,757,926,463,820,954,321,466,339,608,452,839,040,821,910,306,014,303,328,
120,861,884,853,145,639,171,308,170,008,627,285,324,859,389,621,010,029,952,
258,176,379,431,708,152,953,690,951,076,376,740,589,747,151,056,737,927,596,
984,545,061,964,849,390,202,662,138,441,859,214,990,814,966,895,818,109,861,
623,662,857,995,665,402,997,521,939,577,278,501,167,365,761,056,932,015,909,
530,615,883,230,799,501,011,689,026,426,095,913,722,033,928,174,981,534,640,
206,868,376,558,903,260,894,927,067,552,626,422,216,393,251,722,587,784,543,
760,692,346,509,266,148,221,910,615,206,100,721,294,118,627,816,614,422,211,
200,440,338,514,227,081,672,098,365,072,739,834,972,290,430,870,074,904,014,
349,715,197,621,538,289,960,478,030,733,424,042,360,210,751,873,746,995,826,
415,643,511,094,461,585,381,767,703,883,860,084,244,404,242,482,186,141,327,
803,318,874,565,095,282,051,542,390,244,056,866,606,103,999,950,817,451,495,
929,316,515,013,678,981,006,138,086,753,987,272,883,774,521,982,669,073,052,
946,029,242,227,703,835,929,459,643,164,896,144,763,627,130,149,774,151,275,
710,397,352,682,945,872,503,803,931,479,209,293,055,183,314,237,719,140,080,
000,876,719,270,452,297,937,931,660,179,577,065,256,652,762,908,810,495,966,
591,250,586,575,515,451,920,042,126,441,005,562,998,341,024,783,962,550,218,
910,563,826,307,918,949,990,308,284,128,267,958,838,484,091,560,802,220,792,
986,006,953,275,184,289,229,937,230,292,231,772,187,205,456,649,881,366,873,
715,565,634,594,310,980,698,732,527,352,755,282,043,854,422,406,135,978,939,
348,128,037,965,309,882,049,607,427,319,033,180,310,872,984,233,119,466,019,
035,521,381,552,215,319,804,141,634,306,494,859,083,658,634,951,341,097,806,
842,479,641,948,520,907,847,280,470,732,363,240,611,524,884,761,218,864,273,
727,647,357,909,053,826,646,188,771,527,291,474,010,959,596,469,925,313,592,
579,056,367,423,198,973,635,929,059,558,492,964,569,868,749,628,747,102,934,
921,204,835,951,060,139,775,878,022,884,128,511,608,086,239,091,495,869,002,
423,931,250,281,545,423,142,339,354,240,589,010,448,465,247,851,558,032,700,
075,257,530,799,587,387,760,835,079,306,953,872,800,704,121,031,901,101,355,
381,300,254,487,964,173,086,539,600,881,150,366,962,212,083,911,765,665,835,
801,556,456,556,547,266,877,973,360,672,675,019,305,322,852,510,656,284,351,
092,084,697,869,314,294,001,020,707,784,801,837,498,417,031,539,326,934,089,
851,218,791,576,639,695,909,060,140,232,697,663,274,110,476,578,193,673,369,
684,935,016,149,007,283,269,186,465,273,497,622,298,118,561,515,656,583,831,
499,013,879,370,944,474,564,259,461,687,109,423,614,392,626,553,669,200,245,
801,241,331,905,230,882,000,053,656,894,788,973,961,250,926,127,089,969,479,
541,292,084,042,991,153,639,098,109,872,327,954,770,122,582,172,795,529,676,
644,768,853,786,752,053,562,336,233,910,837,142,732,575,358,988,078,964,903,
195,208,350,884,454,301,964,823,529,577,562,806,102,379,109,802,811,680,858,
192,738,458,168,498,461,402,800,091,409,639,227,195,522,682,804,302,515,386,
430,673,996,985,984,570,941,153,665,567,726,003,279,616,399,318,202,619,633,
185,095,114,162,056,867,425,742,934,352,681,323,841,884,856,521,398,691,690,
111,921,246,872,596,182,550,224,112,972,978,857,634,151,803,713,481,408,133,
279,467,168,480,753,257,672,387,872,833,744,385,278,679,857,594,050,031,824,
098,554,286,065,994,560,489,962,239,092,808,509,303,646,420,964,297,061,465,
559,053,909,089,568,658,755,512,959,882,610,353,968,481,433,309,104,933,343,
696,358,359,023,149,527,031,014,538,029,769,510,218,672,855,929,205,885,030,
130,908,707,374,563,330,827,724,522,487,490,212,460,771,823,147,975,996,942,
547,284,107,602,329,453,446,896,342,479,415,240,628,103,895,338,216,339,181,
635,338,246,523,602,005,649,178,382,083,401,075,328,463,635,015,164,143,655,
991,137,211,819,376,184,304,976,879,712,581,246,141,157,187,642,905,185,140,
895,659,242,613,363,686,159,912,630,559,636,891,794,327,162,953,974,977,220,
274,822,082,758,643,468,296,739,998,814,233,325,823,986,462,437,131,501,044,
610,950,876,681,850,998,207,618,666,248,599,407,618,374,646,351,561,128,219,
937,734,095,325,145,098,616,477,732,101,915,527,520,192,583,355,242,127,099,
917,121,442,554,186,278,832,806,814,821,926,400,651,562,463,493,869,973,179,
964,938,637,027,413,137,587,822,360,180,360,194,647,098,296,645,739,653,533,
663,460,544,386,124,491,650,098,663,994,754,013,634,233,138,103,783,123,653,
385,067,090,474,744,487,348,066,629,949,577,424,017,499,443,568,242,878,274,
555,413,907,795,719,994,503,629,623,718,657,517,304,474,934,114,845,345,848,
391,735,190,200,429,731,395,747,074,787,419,514,416,189,228,831,431,094,578,
424,219,111,591,510,517,167,799,164,276,144,391,844,585,211,622,876,721,303,
507,629,110,328,881,818,446,918,493,794,796,620,318,260,332,689,081,719,923,
187,103,369,981,339,656,731,601,266,101,140,199,522,262,786,089,572,430,960,
195,352,765,254,789,704,923,864,048,322,600,793,410,494,545,800,384,703,744,
617,208,536,002,576,936,767,905,855,001,727,403,006,170,977,035,773,291,890,
501,932,154,904,685,232,762,063,197,661,234,046,235,763,863,506,688,022,060,
284,516,224,777,209,963,378,994,134,786,056,820,145,940,806,586,279,530,514,
211,769,084,568,523,805,955,166,726,496,740,830,599,223,277,932,494,300,519,
418,854,330,437,539,974,586,893,934,551,249,962,686,128,256,464,425,965,551,
715,194,645,199,693,753,190,355,662,117,455,182,549,228,082,559,893,995,696,
985,564,420,810,915,162,787,669,356,679,081,440,182,570,289,898,821,360,281,
750,901,010,580,862,757,108,126,975,131,693,165,943,125,649,317,582,938,024,
625,123,079,162,928,270,301,331,405,958,479,961,231,001,663,701,673,629,115,
755,757,588,756,755,732,582,199,289,255,507,259,577,893,555,196,447,260,827,
400,258,907,488,115,885,815,249,476,808,713,071,005,604,323,628,783,195,296,
423,008,114,067,577,764,359,892,136,231,299,054,370,136,145,580,868,350,455,
743,352,559,144,297,440,103,670,908,804,010,986,449,271,531,312,814,241,353,
332,205,816,499,536,675,087,998,893,860,943,783,017,110,398,385,718,606,136,
555,831,034,534,861,550,400,295,469,364,204,181,664,528,831,617,646,252,540,
495,167,833,871,939,211,895,946,025,951,129,663,994,487,864,736,398,237,042,
331,031,825,283,368,036,727,545,084,252,510,025,027,964,873,102,033,035,775,
282,903,193,901,697,043,045,963,115,952,331,589,275,249,022,097,936,656,866,
913,245,169,503,688,370,963,554,977,235,765,452,392,881,595,909,075,609,507,
215,672,490,413,473,461,221,744,243,038,105,731,374,098,841,300,829,116,501,
519,080,397,558,128,346,651,933,826,512,894,514,122,496,887,161,945,259,864,
449,279,414,758,839,449,437,448,783,563,366,151,310,190,247,685,485,702,705,
034,970,045,863,384,796,285,407,647,749,642,960,092,680,451,266,982,337,347,
670,572,507,677,786,671,939,024,164,363,236,420,772,721,860,723,129,291,264,
000,598,362,744,448,098,781,225,314,549,836,542,220,459,883,679,469,263,945,
878,977,231,444,845,468,141,613,410,772,682,923,114,969,764,225,824,824,174,
990,991,945,442,314,042,321,393,394,803,788,178,377,723,515,997,647,642,154,
408,960,696,981,139,914,369,235,244,633,279,536,404,723,074,651,474,055,803,
484,897,585,742,407,016,810,109,383,485,450,909,364,579,101,241,410,146,978,
681,888,231,511,489,626,086,309,896,043,453,012,005,606,046,596,733,826,724,
753,765,900,586,672,213,320,310,965,661,366,586,563,774,762,519,433,858,834,
936,835,877,412,851,721,828,426,239,946,000,405,245,768,571,495,976,892,506,
107,351,590,052,527,427,303,336,768,861,153,418,215,752,083,760,104,779,658,
237,790,025,402,430,390,521,545,280,265,730,357,372,125,365,095,239,747,215,
326,832,080,970,645,364,135,098,566,463,337,062,701,056,192,937,687,665,198,
579,739,958,867,136,599,901,598,676,994,468,536,975,844,934,053,347,143,533,
368,259,923,817,306,410,635,740,837,828,567,164,632,300,755,520,771,691,554,
204,073,676,467,169,213,512,837,301,639,819,963,765,110,990,376,928,884,459,
337,977,704,493,027,051,165,862,056,405,729,960,948,078,698,453,336,193,912,
468,158,320,904,650,792,262,756,369,557,836,965,148,867,562,363,097,045,024,
551,518,639,367,720,819,266,667,446,817,551,460,375,694,104,704,460,603,112,
574,339,008,123,478,431,317,520,021,921,148,760,838,329,312,068,263,340,897,
518,966,720,550,634,001,800,518,521,348,482,642,662,591,502,010,140,341,453,
883,993,575,195,659,089,716,196,955,349,771,508,306,476,575,448,041,552,269,
299,418,791,833,743,055,422,686,081,720,445,831,352,260,158,339,458,381,060,
598,746,695,232,781,515,731,785,746,256,542,893,062,070,654,076,432,835,737,
717,444,539,460,520,897,132,088,439,869,455,462,366,790,117,507,297,325,407,
266,775,094,491,208,423,258,809,561,544,236,692,347,314,471,694,949,242,436,
856,372,423,825,872,711,911,908,531,450,348,919,070,939,799,622,788,051,478,
427,131,800,238,232,849,530,744,884,786,988,834,483,239,996,304,357,255,311,
922,055,422,375,416,012,909,321,908,298,310,089,772,442,066,909,424,262,651,
053,461,151,141,332,220,509,469,745,966,871,367,319,145,684,460,809,183,704,
908,773,121,756,081,813,038,780,734,054,130,248,204,582,950,408,651,779,806,
272,190,883,888,324,803,257,070,278,115,287,402,846,646,359,196,237,550,275,
995,458,819,416,419,767,439,776,960,925,893,926,516,077,687,146,362,626,777,
737,767,196,222,723,040,890,903,249,293,514,104,307,316,465,257,990,077,389,
921,034,152,628,135,433,634,884,921,007,097,394,619,527,845,384,780,277,389,
544,878,066,298,630,013,010,612,798,546,209,406,890,687,034,986,400,285,124,
667,616,872,948,261,382,931,874,132,101,322,484,583,705,819,825,900,111,496,
108,694,308,851,932,830,894,350,238,465,993,560,843,922,105,929,924,961,342,
631,687,438,059,153,737,404,580,707,141,693,628,360,028,972,542,067,547,700,
127,149,609,621,407,476,680,813,494,863,747,414,758,131,119,444,775,696,765,
883,510,944,053,498,188,269,680,128,259,084,437,856,935,641,968,434,424,372,
158,735,149,722,144,993,859,034,022,592,246,344,066,516,213,249,237,453,432,
003,961,736,447,366,970,232,141,484,244,090,134,772,308,564,152,244,187,708,
060,631,765,069,028,274,149,550,065,975,398,565,210,299,172,902,495,494,344,
300,879,849,919,360,622,631,094,448,524,740,904,209,599,204,450,934,791,077,
977,685,369,821,651,953,063,567,591,172,313,557,754,778,933,244,465,122,892,
703,474,973,527,168,250,567,167,656,962,242,170,028,523,911,431,173,306,724,
374,079,176,209,208,655,656,893,053,997,343,631,379,231,810,072,577,513,085,
477,508,219,191,148,184,900,936,192,249,690,881,794,735,274,275,748,196,545,
426,656,021,978,327,023,547,951,657,284,312,772,448,222,684,793,521,375,288,
560,745,042,758,616,687,475,447,285,523,607,512,939,952,432,344,091,747,530,
032,787,897,756,104,473,209,984,613,700,717,553,601,710,762,536,704,111,533,
752,216,783,641,150,750,182,336,334,076,322,077,013,172,065,055,131,721,066,
401,807,984,740,213,680,321,426,986,054,110,555,071,369,521,948,049,909,243,
200,546,785,953,161,973,678,415,228,118,986,200,320,621,352,432,604,254,296,
501,899,569,773,240,201,307,036,289,264,373,692,929,956,008,049,462,929,243,
130,395,049,061,805,524,235,041,455,957,539,155,033,417,783,158,398,463,848,
238,190,440,495,566,318,371,543,529,535,873,690,642,807,346,991,683,479,687,
822,136,223,468,345,944,719,842,917,724,381,057,734,415,877,726,868,602,389,
651,320,645,378,051,083,029,938,758,629,580,660,419,851,157,436,988,735,560,
118,468,500,947,177,395,686,943,736,200,605,166,228,111,488,386,288,097,517,
978,890,151,468,932,226,311,277,184,961,443,022,787,799,493,546,540,797,005,
409,844,302,258,929,783,263,602,852,471,068,149,250,370,030,532,727,679,021,
834,310,838,595,421,560,987,511,298,423,621,101,520,582,368,233,095,984,871,
429,098,312,544,796,198,499,143,783,104,988,576,054,720,610,099,725,342,964,
703,335,305,790,394,620,998,806,109,997,625,515,884,191,524,413,564,714,569,
723,755,554,824,501,294,906,991,439,009,700,794,732,067,552,058,077,406,259,
538,075,465,943,476,807,513,214,529,021,723,632,652,705,810,669,876,357,913,
707,254,630,416,255,421,023,166,253,390,219,003,288,451,858,900,328,001,641,
617,149,836,010,776,323,478,060,955,886,010,453,920,242,889,334,386,614,350,
615,534,892,791,890,296,223,341,498,461,039,014,640,983,954,890,279,244,328,
028,064,093,025,465,712,937,116,814,938,218,583,489,408,293,034,218,790,824,
704,826,232,553,236,257,162,888,694,459,424,084,023,799,314,945,781,124,086,
692,532,614,601,197,389,005,282,970,353,655,292,581,753,761,253,776,701,918,
134,239,087,028,954,024,336,819,462,492,820,692,900,218,225,624,876,814,391,
261,336,222,811,374,530,509,957,632,377,832,964,902,158,825,621,513,600,509,
063,629,974,402,200,171,008,221,884,079,334,342,668,080,446,913,054,343,185,
793,394,608,199,618,475,662,279,815,048,307,559,630,885,957,553,173,142,819,
097,070,399,876,967,797,309,345,016,126,279,696,843,836,418,352,460,850,402,
342,003,428,792,364,703,539,239,578,909,951,293,655,875,479,988,787,914,674,
733,499,082,908,527,645,583,811,501,443,032,400,725,409,113,729,020,069,513,
653,493,435,381,502,054,186,091,139,208,710,359,623,045,865,314,037,293,108,
951,726,383,236,097,119,784,664,513,326,644,962,474,981,801,641,075,939,570,
508,013,056,921,708,767,613,676,632,967,728,757,230,683,820,132,719,422,198,
260,996,782,415,161,691,101,273,928,045,853,897,171,615,881,086,003,970,950,
370,884,649,995,564,378,457,450,050,801,165,001,204,982,507,308,391,663,874,
446,315,035,874,348,205,314,333,867,162,817,818,117,527,585,078,314,883,019,
893,736,422,549,500,126,702,467,195,195,622,928,743,709,237,193,145,037,205,
480,606,167,673,007,756,876,975,801,146,195,516,137,545,888,973,732,101,800,
381,833,122,552,337,887,880,899,556,266,377,671,108,328,815,134,366,043,272,
369,071,948,057,691,804,084,976,656,556,093,622,876,994,247,670,671,574,653,
864,971,934,848,963,075,282,488,895,105,078,511,637,248,722,470,252,898,691,
780,202,086,764,817,833,152,512,925,031,469,282,389,602,308,300,204,168,594,
884,966,030,323,555,422,266,655,980,719,190,315,212,083,557,171,648,848,698,
510,371,389,809,402,412,787,183,539,412,432,141,928,951,266,447,997,469,574,
744,713,359,543,969,809,710,409,223,411,909,552,806,954,252,775,793,421,922,
167,918,525,523,757,005,318,766,182,678,879,175,157,951,239,185,017,335,367,
280,504,576,521,722,250,394,914,028,394,932,307,167,345,662,485,479,722,347,
879,832,799,345,223,966,836,967,606,414,463,548,205,804,204,828,243,688,230,
083,562,304,146,634,108,394,672,603,546,311,015,837,703,510,751,606,984,314,
125,211,745,626,847,440,982,262,441,852,743,313,788,559,427,170,238,261,895,
869,167,615,577,977,008,711,144,846,071,920,297,386,578,143,732,775,809,283,
879,718,352,022,243,997,618,580,092,180,146,418,612,902,553,240,847,614,983,
663,412,054,121,696,097,279,623,424,524,334,640,480,952,278,377,577,763,366,
170,938,012,807,853,170,529,518,126,937,564,098,152,663,328,443,472,936,425,
791,534,539,494,051,494,761,652,311,557,283,447,745,770,828,935,953,345,548,
460,578,524,722,474,060,710,294,208,674,177,778,125,763,069,732,084,134,465,
280,079,086,313,328,165,854,822,933,021,142,076,794,638,774,573,332,668,979,
644,627,837,912,267,193,174,420,472,705,616,259,618,328,023,740,766,766,604,
534,074,491,903,291,484,134,640,776,870,759,967,894,496,887,031,801,755,801,
326,162,414,578,852,792,053,950,897,666,740,189,099,179,808,976,405,630,699,
621,966,769,573,191,359,322,144,202,697,258,503,736,931,530,713,971,776,930,
762,490,127,869,545,642,298,321,166,446,034,215,244,518,326,643,242,519,686,
583,498,572,858,344,891,529,451,921,690,974,347,851,012,919,714,689,937,957,
361,460,488,410,251,877,636,414,901,123,704,594,462,566,190,891,401,976,057,
510,131,691,249,133,976,494,698,017,518,874,816,422,288,209,135,970,137,724,
556,102,988,226,365,324,536,238,199,667,309,330,338,066,094,942,823,913,026,
725,059,352,549,493,584,218,737,395,227,417,412,060,334,982,190,241,831,939,
564,519,389,420,985,892,965,866,307,049,693,843,429,601,809,655,144,370,302,
149,726,241,825,400,055,051,540,240,955,382,623,121,997,931,771,926,039,776,
168,552,779,151,767,668,565,161,790,533,075,003,696,831,976,480,121,018,472,
869,566,658,530,222,928,503,282,966,412,778,121,260,490,678,156,735,961,123,
452,217,077,613,404,528,394,243,367,350,055,014,036,210,787,520,808,649,441,
980,578,812,213,507,413,738,298,498,210,788,033,405,705,289,009,811,268,410,
434,829,227,629,209,305,759,976,205,378,370,983,861,232,982,026,670,231,039,
430,371,446,131,064,492,823,846,551,027,576,422,948,757,668,678,956,375,986,
157,558,791,481,719,784,813,493,382,169,358,168,163,099,748,455,965,375,477,
827,822,970,798,347,388,371,271,581,117,854,836,566,044,748,063,435,925,199,
110,236,417,202,903,278,025,091,032,230,996,113,981,285,340,028,170,008,544,
096,849,057,299,621,560,526,376,025,079,173,881,809,456,013,786,529,599,417,
010,522,117,027,778,313,021,017,921,703,151,999,526,974,366,751,026,998,264,
394,592,559,566,358,276,587,093,239,900,389,540,666,428,406,263,826,826,201,
831,809,594,386,885,368,967,014,043,638,778,367,591,660,099,775,389,122,279,
677,744,183,845,050,272,367,904,862,706,491,106,638,452,996,255,814,453,950,
237,150,785,855,328,870,036,307,531,852,004,428,727,765,956,319,365,463,188,
016,082,504,655,620,006,104,273,714,306,404,175,921,476,668,953,016,738,817,
664,161,695,225,963,732,759,964,179,394,489,639,520,219,190,360,943,000,955,
523,006,964,897,576,506,241,207,955,892,492,426,085,855,691,865,856,915,005,
711,098,946,428,149,956,156,362,153,786,954,128,053,746,924,716,831,193,965,
681,018,246,014,544,026,072,293,267,854,726,536,423,907,574,295,499,751,457,
815,439,579,486,673,651,986,983,893,516,525,933,951,167,152,683,768,483,806,
475,442,486,886,194,920,851,123,591,520,581,947,225,915,887,601,524,438,731,
273,876,745,390,709,197,525,168,045,206,618,915,223,011,076,082,564,180,194,
878,159,635,977,593,157,736,920,419,727,091,297,521,743,722,288,511,631,003,
156,831,838,205,556,995,525,334,937,169,613,380,643,225,966,934,276,164,372,
425,260,571,420,031,856,124,398,367,285,483,075,805,498,139,228,628,618,942,
384,890,673,708,253,897,605,795,793,336,006,022,272,686,484,997,367,720,909,
448,859,408,874,980,687,480,202,257,988,402,484,492,451,762,977,405,722,452,
307,588,182,381,163,070,889,849,320,169,267,820,790,570,874,260,968,368,459,
625,515,074,209,419,376,622,535,224,300,789,025,777,545,185,296,721,385,185,
253,764,991,606,692,489,827,392,250,578,461,213,044,410,229,946,536,226,016,
510,467,341,613,765,398,900,383,305,439,277,730,644,250,657,714,997,030,106,
782,193,687,907,762,181,798,921,593,061,293,707,807,676,715,763,569,575,277,
780,965,931,683,690,105,004,094,890,390,306,955,655,260,815,364,186,049,812,
640,127,113,218,075,904,668,856,904,218,706,064,714,941,457,394,420,993,606,
162,673,840,030,132,617,623,073,739,368,589,973,659,276,782,183,631,853,430,
312,746,753,439,361,201,619,299,351,542,027,465,777,736,558,597,365,183,671,
675,929,754,546,330,632,799,295,170,240,212,023,653,714,718,911,118,281,580,
361,490,621,630,867,114,783,238,204,558,305,824,516,974,364,888,095,495,997,
511,279,383,651,874,830,097,864,938,515,415,185,454,665,827,416,239,146,228,
187,802,224,499,995,985,091,286,642,871,998,262,741,270,427,003,525,638,215,
550,594,091,224,322,056,766,110,569,354,749,109,724,498,066,108,006,097,775,
084,971,471,785,822,507,818,601,923,168,017,620,344,639,437,377,414,631,298,
590,674,656,216,197,239,264,758,478,898,406,699,347,006,380,217,530,118,417,
886,712,115,776,805,731,202,613,414,093,350,641,083,296,480,818,171,414,964,
652,913,849,205,195,954,484,855,603,550,981,372,457,155,636,020,680,294,466,
473,539,376,428,248,153,701,755,570,460,593,866,676,768,504,204,088,633,388,
724,458,652,431,981,204,029,446,094,897,230,973,006,226,511,213,882,823,921,
812,980,857,339,273,693,108,457,382,076,535,793,177,765,438,565,365,996,699,
684,538,014,045,678,540,133,489,778,787,205,561,145,267,640,954,020,736,262,
856,959,720,471,268,422,440,533,121,045,933,390,844,630,901,079,700,394,702,
642,246,133,767,116,628,868,704,284,723,088,649,173,215,792,875,617,032,926,
222,486,518,760,248,881,547,948,227,749,238,944,389,358,207,420,826,329,523,
214,990,047,448,861,549,898,149,874,965,659,881,737,723,773,960,384,354,847,
567,384,338,652,414,008,723,690,131,117,956,254,951,045,550,815,400,806,606,
998,184,499,494,414,559,886,481,825,704,077,238,738,420,557,351,839,717,501,
502,562,000,042,366,434,377,532,114,862,399,454,379,247,350,571,212,128,811,
815,795,297,024,360,913,371,199,966,432,195,382,803,458,848,443,690,991,860,
843,779,529,702,998,638,765,331,283,466,985,349,492,602,353,700,264,008,521,
815,962,414,068,276,690,371,224,705,818,630,517,951,237,607,854,846,065,529,
588,844,426,077,255,585,491,115,414,116,846,520,827,897,257,316,180,574,517,
705,448,764,386,667,171,418,688,483,446,818,646,887,314,218,202,650,563,210,
264,174,964,677,704,547,475,313,373,893,464,277,715,897,532,454,971,024,077,
599,303,479,734,292,270,986,245,743,956,430,014,370,952,817,839,653,414,921,
996,463,983,367,535,293,880,431,857,893,476,322,273,571,438,672,614,673,197,
481,641,582,211,137,779,251,722,049,697,412,152,715,134,734,449,838,701,788,
238,499,576,173,795,739,553,732,849,177,236,388,115,288,848,605,917,368,523,
394,353,237,212,055,054,849,575,736,078,362,058,043,318,909,859,018,126,955,
104,019,682,424,121,414,928,863,099,394,485,643,640,583,042,118,714,328,233,
966,726,965,088,562,063,387,949,578,778,384,302,853,266,564,012,350,748,881,
297,714,324,948,225,719,329,079,666,138,649,625,813,418,234,047,913,315,161,
240,897,050,458,636,969,439,497,596,075,628,552,449,235,422,967,812,758,499,
112,370,749,722,570,784,838,160,405,936,999,875,650,173,301,797,407,207,237,
569,207,926,402,859,874,130,646,106,836,003,692,853,981,548,620,511,073,836,
096,102,960,871,880,034,964,654,329,540,977,910,149,817,306,310,240,067,953,
257,387,692,507,788,498,887,116,956,015,664,135,166,990,692,317,325,088,669,
395,754,805,795,937,020,612,506,669,318,323,362,118,111,473,444,089,946,867,
759,325,862,216,096,429,315,660,761,014,432,555,089,009,517,306,188,513,893,
269,098,265,140,007,526,808,299,020,954,951,985,552,691,590,349,231,266,374,
472,011,621,588,654,740,977,861,417,269,668,799,517,465,600,176,613,397,918,
923,252,997,639,762,969,722,844,696,424,285,407,500,289,414,030,387,423,234,
958,998,319,058,675,632,949,647,380,470,433,608,067,933,597,555,784,919,485,
431,921,588,073,924,668,436,119,882,308,195,382,803,751,905,545,522,173,330,
888,418,107,720,975,814,819,294,515,754,073,279,883,597,796,664,353,767,662,
518,575,039,199,910,356,855,767,740,823,804,043,439,457,340,069,718,120,004,
192,704,081,664,903,045,187,168,971,360,481,160,644,839,393,251,986,970,872,
047,613,391,879,186,946,655,182,634,902,431,954,536,536,720,450,894,905,111,
315,840,330,931,517,382,059,447,694,372,405,006,743,086,172,147,867,897,110,
191,819,133,084,005,613,029,296,404,601,979,693,114,945,560,065,435,739,157,
290,426,581,072,894,131,039,432,924,785,462,855,850,098,949,493,714,671,528,
900,434,216,964,121,758,290,909,683,344,380,203,775,025,638,046,370,422,431,
795,294,885,544,926,017,982,130,079,917,050,680,561,103,521,826,656,616,985,
045,154,676,556,895,019,372,568,635,137,478,097,115,897,136,252,864,043,726,
275,829,529,170,500,306,863,923,058,880,276,713,818,161,662,954,340,414,503,
244,477,870,516,388,482,060,507,458,943,338,372,010,562,058,547,846,477,180,
923,414,603,906,673,816,264,145,788,373,708,704,989,356,885,245,874,361,339,
518,685,679,533,306,352,790,844,764,854,256,067,999,926,485,365,085,972,803,
322,613,696,303,465,569,499,412,441,520,907,257,976,815,523,092,051,421,401,
437,624,330,258,259,255,890,010,434,302,590,837,429,321,948,895,926,326,395,
854,241,648,384,264,785,214,090,112,054,940,076,756,567,750,957,091,546,186,
834,954,789,090,579,277,703,513,567,427,959,578,722,821,061,884,730,258,948,
400,570,304,941,031,158,157,631,393,499,107,686,835,587,204,443,637,531,983,
727,501,215,017,137,763,704,873,132,655,293,273,688,261,066,971,810,612,133,
023,189,698,195,962,163,250,253,237,022,945,647,040,225,799,161,412,757,692,
274,095,041,584,960,593,671,340,144,168,209,609,463,665,871,598,008,528,074,
431,961,740,128,216,039,466,588,818,845,203,605,696,333,682,744,904,265,996,
984,574,947,838,989,137,697,336,741,711,503,127,660,910,218,557,599,698,817,
687,007,322,410,237,940,615,202,554,269,070,883,486,989,229,745,758,654,727,
896,965,218,658,873,067,196,657,649,815,150,922,962,398,371,585,058,141,799,
165,045,418,100,421,314,468,157,006,920,982,658,253,707,270,663,357,546,083,
729,648,992,045,057,239,746,472,773,033,314,307,108,283,802,750,951,584,028,
589,071,318,790,595,582,513,788,585,995,352,950,608,679,729,186,434,758,892,
496,550,379,104,686,598,014,845,362,605,833,407,521,307,529,425,483,426,776,
791,241,288,294,010,446,143,917,286,815,882,918,256,048,468,979,703,904,130,
835,378,939,115,412,071,151,240,289,152,746,534,541,418,395,644,989,052,707,
581,030,809,674,518,846,749,269,860,874,082,968,323,444,920,292,165,356,151,
481,527,314,424,372,981,131,233,282,821,051,589,364,442,339,237,804,598,854,
192,184,347,298,065,267,453,689,458,834,553,491,219,044,136,153,495,192,437,
557,463,064,780,673,987,752,061,419,573,079,173,699,666,086,640,568,461,939,
962,829,548,379,862,331,883,159,234,495,922,395,164,847,952,325,661,984,311,
846,937,015,961,608,365,317,741,279,975,610,944,617,688,906,917,495,070,495,
159,795,215,469,478,272,076,860,420,395,317,108,773,056,635,833,080,136,688,
143,648,347,989,691,215,059,702,361,288,166,557,110,239,228,175,232,654,701,
557,827,526,242,595,166,574,284,808,839,682,880,723,766,615,852,595,188,631,
262,511,817,873,212,202,652,473,181,243,762,248,528,706,342,141,954,094,773,
015,796,592,405,478,409,754,493,122,285,589,615,044,183,880,129,743,129,911,
142,514,299,655,822,692,342,879,093,081,171,058,859,295,855,811,856,722,617,
822,294,504,892,925,142,154,689,988,087,480,001,305,970,005,338,920,436,714,
051,418,325,365,661,787,402,340,573,529,367,719,806,787,847,959,599,035,359,
826,384,646,339,465,871,426,857,800,413,053,032,262,353,694,808,651,347,873,
891,508,671,810,588,180,896,173,595,555,209,517,083,593,939,115,349,345,188,
687,406,118,548,567,231,091,200,572,227,253,657,684,699,829,260,917,664,185,
300,371,359,328,484,507,380,062,308,256,537,582,752,954,795,522,181,142,672,
490,646,251,175,704,576,475,422,136,687,661,830,286,332,056,169,062,002,878,
371,207,291,797,137,712,825,550,110,691,376,566,096,203,663,194,308,598,381,
062,436,701,483,311,537,688,787,399,346,013,784,692,452,430,771,352,659,120,
718,507,408,921,782,416,957,618,833,553,532,562,664,885,158,116,161,200,151,
892,680,655,931,111,056,334,060,596,647,688,414,529,576,248,524,256,873,851,
121,105,202,499,547,057,400,707,600,770,923,036,854,738,221,564,731,153,195,
839,452,590,326,546,105,297,822,546,322,376,422,784,248,365,623,607,594,932,
183,494,848,052,429,553,821,430,515,984,789,744,789,932,492,914,104,812,992,
481,790,442,631,733,844,863,917,184,715,945,513,046,426,488,459,658,963,679,
905,681,442,888,456,650,309,633,819,896,483,136,151,366,392,927,797,591,104,
755,217,621,236,050,825,560,216,924,571,569,946,749,401,934,410,126,580,993,
658,343,805,050,109,470,812,019,531,387,698,075,976,839,119,816,290,318,306,
101,313,457,359,084,748,680,244,425,667,153,322,364,117,976,855,547,739,887,
492,032,171,108,808,164,366,716,718,905,892,056,400,060,879,768,035,073,653,
471,576,533,234,043,996,224,573,582,372,558,038,348,564,571,566,303,576,393,
853,283,718,250,747,410,010,353,296,645,015,671,884,642,165,915,266,161,711,
721,633,940,777,693,180,709,544,233,645,995,819,279,393,378,377,005,105,747,
504,034,688,143,777,660,782,128,217,729,657,192,580,493,312,261,797,408,285,
897,300,963,365,890,054,418,364,303,147,826,321,899,597,685,643,710,024,011,
226,476,337,245,317,901,391,139,898,328,286,332,191,577,421,594,951,407,148,
352,066,898,396,431,331,106,089,858,258,680,497,661,174,399,165,204,955,202,
392,781,779,602,701,476,080,984,646,059,129,789,195,408,924,503,477,367,253,
145,102,111,021,447,417,579,431,531,619,199,609,190,321,267,358,134,616,685,
143,181,346,469,549,641,006,747,393,892,769,948,747,042,132,648,010,676,717,
565,076,616,745,592,878,542,041,040,883,338,223,171,072,519,043,289,010,338,
713,670,856,059,705,377,351,451,696,847,996,486,512,126,773,031,027,616,645,
326,227,606,362,996,446,237,666,146,059,042,321,060,202,399,254,089,528,335,
063,693,081,108,385,427,070,653,518,850,378,647,849,402,756,863,916,131,140,
106,130,846,879,347,167,492,399,175,376,703,520,332,005,420,557,943,926,911,
679,837,343,856,021,537,748,670,017,970,508,330,079,578,002,407,421,854,665,
063,976,304,205,429,913,951,356,818,961,514,524,878,628,687,779,059,414,123,
510,322,958,180,123,000,294,925,133,205,545,142,205,670,327,737,874,467,413,
285,510,030,900,276,921,384,320,129,950,579,446,910,391,029,738,639,578,827,
752,250,150,782,448,770,597,925,472,272,997,967,579,055,218,190,014,841,975,
063,383,300,486,017,494,446,344,891,883,690,507,948,269,332,347,486,170,852,
367,772,696,842,100,809,981,552,615,099,146,195,043,732,755,762,875,369,069,
131,521,273,744,278,843,511,710,935,629,351,595,428,745,359,152,851,352,318,
348,974,009,347,002,898,429,383,066,845,088,917,254,220,960,650,570,221,082,
632,637,571,165,260,808,901,512,499,463,236,905,422,943,891,559,604,864,856,
275,277,989,953,057,544,149,081,119,366,570,124,383,178,524,104,988,390,624,
010,843,992,370,909,030,292,946,356,130,500,842,210,473,366,745,915,752,345,
152,160,722,486,692,074,925,387,828,390,973,962,135,948,643,826,586,640,495,
765,591,397,130,085,545,211,738,439,114,835,120,606,716,100,615,503,931,312,
236,106,011,347,983,204,341,881,877,814,757,707,095,047,535,156,382,002,775,
761,424,767,422,612,719,141,230,487,933,810,342,388,932,948,428,033,700,657,
530,264,046,649,009,990,164,064,307,228,606,761,433,465,178,644,272,868,195,
344,249,768,196,014,707,504,410,119,851,905,164,419,506,025,562,282,551,993,
775,210,672,942,019,206,389,231,123,106,277,508,579,365,281,341,489,088,298,
182,880,132,263,795,144,693,770,511,078,354,255,837,393,261,348,621,732,420,
024,767,638,554,313,007,718,213,527,975,604,164,116,797,581,719,738,715,353,
383,746,605,029,931,093,103,838,804,104,894,488,738,559,619,941,973,736,170,
159,494,896,302,991,130,726,190,902,820,283,188,273,686,097,609,779,893,311,
368,467,879,110,569,062,943,970,124,789,691,405,871,152,988,488,607,362,006,
099,307,626,674,694,014,136,814,084,277,701,235,349,232,375,152,900,378,033,
599,091,715,043,797,073,029,378,865,905,916,964,505,045,793,242,910,658,951,
410,218,074,843,886,197,048,040,159,549,322,309,244,781,821,446,565,844,665,
565,152,319,340,147,253,671,617,441,478,771,111,919,824,846,939,089,749,169,
381,084,291,141,447,155,044,660,293,705,851,235,389,021,559,390,644,902,271,
745,695,510,476,745,327,915,385,466,153,254,797,711,577,805,302,479,279,376,
790,638,261,531,504,405,534,492,657,381,022,321,910,430,117,880,553,057,535,
696,876,062,826,679,265,371,263,322,385,946,553,087,542,138,057,751,860,498,
353,029,629,714,536,791,638,048,479,891,139,550,869,266,317,412,482,414,681,
179,386,708,757,005,191,704,371,091,112,924,766,238,461,235,223,712,630,874,
633,968,486,982,548,723,974,920,333,957,354,098,015,941,435,119,467,869,203,
566,958,030,702,923,186,311,722,740,124,655,328,380,535,606,387,802,933,475,
641,933,092,592,248,507,703,824,492,296,025,028,790,290,311,836,566,350,101,
145,542,332,193,229,705,852,485,691,099,305,540,837,484,692,596,453,575,404,
468,610,951,064,854,197,792,915,509,607,454,999,214,881,139,367,705,325,894,
578,011,507,688,530,357,477,224,170,858,306,729,081,442,721,741,088,316,084,
401,598,221,194,951,155,550,334,858,878,921,603,645,237,814,852,522,425,839,
767,973,466,944,521,783,551,926,476,691,247,832,002,762,472,159,547,454,710,
647,209,223,498,507,529,812,609,608,054,675,917,278,337,024,909,883,283,216,
578,292,902,355,196,597,887,912,766,503,332,425,816,658,545,502,553,195,869,
768,862,711,183,663,712,145,724,352,176,141,522,189,415,037,356,974,723,058,
542,537,952,978,684,321,817,461,201,629,148,105,045,325,601,374,708,561,573,
118,115,694,460,330,928,024,234,860,299,210,584,539,995,971,676,256,667,430,
290,529,976,357,945,753,259,024,442,427,066,544,307,036,151,682,706,804,025,
726,142,454,469,802,488,584,838,584,738,929,434,687,186,970,037,188,839,842,
150,831,450,983,987,376,933,332,823,338,349,571,057,348,329,789,698,774,511,
186,355,252,407,850,722,042,420,750,364,676,967,948,590,225,831,955,362,282,
031,093,752,485,107,181,400,650,326,405,133,439,119,491,713,785,216,070,991,
509,558,759,842,290,815,873,725,879,528,435,568,181,139,561,669,935,680,376,
607,691,135,398,516,881,966,662,432,898,195,001,132,521,197,086,968,993,756,
267,989,781,390,024,967,458,470,630,665,007,351,247,561,397,388,987,030,727,
139,354,318,232,994,344,060,783,270,278,889,091,972,651,724,119,266,789,759,
783,058,304,995,841,449,316,501,705,791,568,165,721,752,135,086,220,572,434,
706,182,468,149,631,447,212,943,659,468,540,614,750,877,962,608,597,941,124,
982,692,199,569,189,687,040,833,535,451,230,365,792,318,724,662,923,825,569,
897,130,929,053,366,085,615,449,141,058,997,266,244,168,855,651,034,596,452,
386,102,419,213,554,704,764,937,806,241,837,747,567,702,210,508,367,635,043,
847,381,565,430,023,909,963,803,560,302,418,767,520,363,709,008,167,119,591,
014,175,354,405,297,591,176,035,980,337,139,274,025,158,027,637,969,573,479,
443,680,827,378,331,049,955,739,138,249,162,262,176,071,929,461,245,242,165,
088,619,931,891,775,599,450,606,802,592,984,136,457,628,864,222,393,876,498,
652,419,229,426,920,496,469,252,251,931,410,683,126,090,773,798,209,305,049,
642,999,029,505,678,904,696,767,992,444,223,932,025,927,775,856,134,802,062,
202,691,766,230,958,130,797,486,409,269,268,094,263,989,014,172,522,763,631,
324,990,537,786,491,968,697,408,058,303,733,213,437,066,063,662,812,426,983,
295,043,151,398,460,250,563,906,620,063,582,537,535,256,469,094,503,116,348,
716,060,749,140,976,881,739,086,719,791,197,730,575,139,154,544,203,967,021,
160,495,651,959,467,371,275,428,774,778,813,442,020,102,415,374,629,812,141,
908,319,358,919,183,739,498,260,955,953,169,348,706,338,180,500,795,570,866,
406,882,805,412,380,487,301,740,720,074,033,418,055,453,205,790,177,540,782,
390,629,639,018,284,239,817,876,219,219,489,736,477,618,575,088,471,750,809,
953,906,185,633,066,960,146,745,463,385,649,869,447,629,760,593,443,582,320,
327,290,468,019,828,790,477,422,581,522,094,239,759,933,565,467,126,765,632,
842,122,675,298,197,699,501,505,842,423,802,139,831,541,581,367,056,460,500,
055,619,460,359,029,592,513,350,168,147,665,475,665,860,921,414,951,009,736,
302,543,926,032,781,033,090,904,436,540,168,439,529,767,031,622,630,489,926,
939,961,638,192,357,152,162,777,907,536,403,188,935,681,777,964,432,442,722,
852,718,494,045,757,650,348,903,966,725,077,120,780,327,959,788,697,683,739,
569,195,960,393,555,727,539,952,155,539,953,719,212,108,783,597,730,871,125,
444,393,484,020,884,367,546,883,978,523,422,084,609,967,037,869,088,922,663,
467,526,917,514,432,471,113,720,071,471,866,089,852,254,745,319,437,810,820,
878,190,660,231,996,313,420,481,412,680,998,245,704,077,805,346,001,683,255,
911,706,074,289,725,068,768,686,724,276,110,820,176,978,366,098,665,138,647,
083,935,591,912,329,641,163,361,352,292,958,932,527,628,271,227,013,238,994,
942,971,831,488,730,592,905,942,661,130,809,984,502,805,333,865,670,354,586,
040,540,848,344,430,604,081,217,936,690,104,782,233,836,673,288,838,584,956,
260,935,875,698,550,168,005,542,219,989,087,476,295,481,350,721,490,584,725,
007,704,957,096,611,291,810,553,715,119,984,797,791,549,239,871,294,252,205,
917,703,595,831,905,709,843,484,806,385,112,992,353,930,402,559,717,487,436,
124,756,245,565,730,156,441,596,983,004,629,026,224,614,094,931,061,121,046,
894,639,084,369,706,802,454,195,360,512,618,700,144,980,816,735,719,785,747,
683,586,977,125,212,121,347,972,572,509,955,584,209,430,806,257,754,167,791,
827,252,347,573,394,181,586,040,454,821,092,858,101,981,085,045,722,549,149,
162,112,206,604,555,344,481,248,292,779,621,527,707,990,312,514,178,650,628,
909,785,722,436,272,769,807,988,692,794,912,916,622,361,435,354,902,673,059,
755,913,958,960,262,269,419,305,949,730,235,073,985,562,336,858,539,515,520,
657,199,917,025,000,175,568,190,524,017,499,689,412,276,355,355,991,935,884,
988,683,734,884,403,569,637,376,311,030,613,284,229,355,798,196,354,372,368,
160,275,207,161,136,972,315,999,487,513,100,199,642,710,900,409,531,247,344,
173,264,184,064,823,938,695,310,849,264,341,074,419,249,769,826,537,007,751,
966,337,719,181,953,384,107,365,182,735,113,534,004,879,963,115,453,618,211,
335,564,038,661,249,169,319,755,770,014,058,710,354,708,816,117,538,294,377,
032,009,982,279,136,386,680,267,845,326,887,187,459,331,830,163,552,372,563,
614,725,314,663,577,673,554,065,056,993,643,165,916,860,130,845,996,863,573,
979,120,948,259,493,889,869,400,183,825,216,861,386,272,584,114,801,211,630,
393,680,992,701,333,771,608,044,577,246,091,341,767,917,719,398,619,551,926,
071,983,151,226,182,575,648,608,428,065,240,056,929,063,081,252,823,049,674,
467,967,451,506,013,575,708,982,272,423,895,407,876,458,135,101,117,413,366,
046,089,440,578,552,487,575,561,444,415,030,744,108,050,639,304,069,749,006,
591,646,268,635,072,098,823,985,771,223,841,624,730,829,506,059,052,044,172,
954,066,196,856,530,577,169,246,324,906,900,669,161,170,579,187,788,114,806,
981,885,106,238,411,418,354,279,905,873,391,806,619,642,970,139,597,433,190,
949,118,092,759,284,809,728,191,588,439,206,967,856,065,461,773,384,715,326,
756,066,247,102,019,036,601,217,961,172,736,360,775,513,749,728,671,895,656,
656,062,321,546,955,024,731,318,120,930,212,802,091,115,332,703,414,055,292,
677,796,104,021,019,895,124,064,294,926,418,335,850,747,051,284,381,867,359,
874,026,275,782,414,787,610,653,902,769,492,841,326,226,388,615,234,208,892,
798,658,648,250,544,458,366,869,366,025,072,864,960,690,418,073,899,934,312,
910,632,779,145,454,710,595,186,790,632,721,235,288,017,621,811,228,924,546,
685,242,720,020,375,251,057,614,847,383,447,144,401,539,710,701,674,083,031,
654,908,045,090,057,037,288,161,942,898,538,519,988,061,088,039,679,983,302,
376,500,758,405,046,923,190,533,548,637,606,071,472,833,053,639,519,226,069,
609,896,356,775,153,484,311,604,422,897,988,947,149,951,132,258,836,056,444,
077,940,815,382,242,635,312,231,124,760,637,008,197,813,737,119,467,015,536,
810,627,770,349,474,071,830,349,426,856,317,334,123,671,086,970,925,147,125,
542,987,330,025,730,656,026,674,224,474,894,863,035,853,126,020,211,313,679,
187,291,341,979,199,694,686,869,361,084,505,783,194,069,309,946,209,704,986,
465,107,516,256,342,217,559,186,442,426,783,386,981,932,196,803,143,460,826,
993,938,128,222,490,857,231,063,206,908,168,488,192,691,679,883,590,849,050,
152,417,970,253,550,998,816,957,342,536,012,112,505,021,552,534,303,589,700,
164,904,505,463,744,853,065,191,210,851,944,131,856,613,973,710,579,380,102,
462,133,880,236,142,646,066,761,685,936,513,340,439,915,543,758,712,357,858,
729,003,786,629,178,969,624,566,976,234,563,673,817,848,182,772,476,293,333,
402,423,349,890,094,284,981,374,465,813,480,827,018,276,384,642,709,869,637,
156,173,187,700,513,058,890,294,831,668,373,105,989,432,025,986,547,145,369,
145,224,033,658,728,555,156,042,842,859,335,311,365,693,207,409,890,112,005,
735,533,094,131,308,546,201,285,856,886,074,833,153,642,118,719,647,073,101,
541,111,559,091,613,194,555,624,231,116,606,910,317,458,676,726,661,989,952,
815,691,224,093,608,090,215,971,538,648,372,740,137,933,530,657,619,891,028,
998,946,567,708,963,369,502,264,679,456,801,126,513,786,993,292,309,070,958,
488,893,497,588,639,915,382,206,657,005,543,061,850,826,147,361,248,233,309,
072,941,478,317,889,328,316,667,093,316,068,211,981,152,109,898,589,964,790,
632,604,486,887,348,198,734,311,052,240,832,028,633,462,257,601,385,138,010,
084,619,401,882,142,852,920,469,199,588,954,098,182,595,824,919,839,920,202,
066,734,852,372,979,363,567,615,152,381,868,766,810,592,478,862,451,550,812,
629,043,486,402,016,501,571,841,377,984,084,228,521,353,531,000,388,001,566,
921,298,951,940,858,862,422,316,452,290,763,789,027,188,465,781,077,037,285,
260,644,199,300,005,280,640,044,096,905,919,254,929,810,990,249,648,561,547,
861,656,409,718,761,556,485,818,167,192,430,302,798,471,110,266,973,896,425,
993,872,211,626,878,127,165,567,802,240,102,949,979,523,641,361,477,967,749,
028,473,406,528,242,662,357,513,458,952,286,365,925,837,684,443,496,504,842,
054,118,924,239,205,457,128,963,367,973,526,935,549,415,943,967,068,699,521,
511,670,732,044,829,106,698,753,691,043,963,826,943,744,598,086,543,183,922,
355,557,746,889,834,436,299,093,771,007,709,828,049,511,395,392,440,091,358,
674,194,315,332,990,917,836,480,986,269,127,758,283,422,700,664,464,281,437,
667,976,500,185,265,646,155,266,808,709,781,957,823,118,662,505,472,204,341,
391,255,949,113,725,602,158,745,226,083,272,372,172,893,735,608,087,569,598,
132,867,568,445,413,891,939,504,845,298,799,727,929,344,039,243,980,034,055,
289,299,145,027,595,019,967,581,205,981,787,438,643,227,367,514,295,000,435,
524,970,738,805,257,376,578,268,873,190,666,263,657,021,478,566,255,724,109,
013,074,975,204,592,543,613,728,732,365,521,565,535,139,404,055,877,138,263,
200,674,352,174,339,309,542,188,096,956,035,003,824,092,480,777,709,378,997,
600,037,599,321,392,467,963,885,529,252,891,591,799,256,134,506,687,217,632,
078,469,258,379,060,264,081,224,264,054,067,546,137,268,298,370,027,401,734,
867,143,499,619,536,048,057,647,323,092,433,095,833,921,579,461,166,236,652,
857,443,283,426,686,741,227,311,163,703,270,915,769,998,725,111,420,482,142,
195,187,615,619,640,820,477,102,772,703,830,007,307,873,640,247,924,567,303,
574,889,786,813,569,221,171,733,758,463,980,866,495,617,156,967,561,281,363,
050,323,302,348,045,813,779,723,290,620,432,734,974,025,942,821,852,904,137,
767,721,410,436,532,644,619,533,067,281,347,239,803,806,255,394,632,870,159,
581,414,597,161,325,027,042,844,576,572,158,204,089,303,316,418,229,274,182,
288,500,282,258,541,475,694,559,313,924,823,652,071,517,149,850,362,489,443,
270,925,327,120,867,091,154,466,157,935,150,364,921,313,533,644,056,854,514,
120,963,280,524,057,162,327,259,640,623,910,290,422,538,402,558,319,765,604,
840,767,697,419,325,939,172,848,762,814,066,243,583,171,225,067,459,642,345,
097,000,936,051,345,446,574,892,495,511,889,463,240,611,720,314,664,348,051,
521,697,323,655,132,154,953,004,630,148,279,262,020,411,138,998,319,991,442,
033,961,289,774,666,672,820,312,756,429,033,143,866,728,669,576,367,569,055,
443,318,580,619,644,179,733,513,758,595,946,852,471,362,155,242,821,660,723,
585,257,991,233,657,378,476,454,622,646,287,091,590,950,235,734,081,444,429,
203,183,659,126,140,452,200,525,449,624,926,882,990,622,135,698,397,850,179,
836,446,740,016,495,101,187,191,386,988,378,230,181,839,609,593,607,974,248,
246,820,540,168,514,450,415,897,101,040,580,284,952,541,953,428,700,800,816,
302,127,284,070,798,577,222,852,723,736,936,070,279,407,471,008,961,093,432,
676,599,786,548,467,661,890,225,587,661,539,482,269,210,824,232,591,512,143,
632,086,323,646,893,066,180,669,707,031,500,408,799,247,992,495,918,503,380,
344,815,383,645,764,697,297,273,131,590,178,378,631,580,807,847,352,347,003,
192,211,991,638,337,877,087,513,085,337,199,599,072,841,051,139,551,655,287,
881,490,191,287,598,188,382,098,436,254,859,209,428,582,252,539,908,784,600,
142,717,835,089,997,388,875,226,366,541,525,260,847,329,448,759,492,483,594,
535,631,035,520,413,360,610,042,686,290,714,532,186,537,456,833,236,839,767,
316,646,279,678,057,196,166,142,107,988,118,570,202,376,190,078,394,552,627,
584,413,795,050,832,079,194,636,292,110,621,198,286,693,251,544,792,339,730,
138,014,406,537,117,566,284,986,733,502,763,528,062,197,594,434,746,377,496,
536,886,098,975,597,338,605,432,151,914,710,567,420,747,621,271,740,721,385,
553,746,694,257,259,836,958,895,325,003,301,755,655,418,228,772,386,217,109,
984,618,949,204,563,376,544,916,009,117,178,777,946,775,799,511,801,968,347,
487,110,789,116,153,003,993,756,333,720,328,744,124,184,801,064,251,219,427,
730,638,001,051,136,571,567,601,404,616,390,837,600,741,757,798,571,441,109,
681,747,582,399,725,732,524,493,412,927,964,836,685,481,433,241,512,996,329,
704,514,676,809,826,242,607,303,001,120,561,933,591,159,389,463,533,831,732,
191,088,447,876,425,799,571,706,014,609,103,243,155,826,208,622,973,440,883,
099,741,041,556,443,629,724,737,824,712,697,708,113,986,420,452,691,490,474,
446,322,561,464,146,892,535,925,116,661,846,324,155,899,792,978,998,886,039,
511,572,664,820,308,287,425,573,613,719,137,056,300,989,932,844,314,627,321,
762,578,831,287,071,599,991,541,166,305,319,518,711,294,189,363,501,205,636,
132,592,125,881,274,074,080,019,313,949,483,079,974,111,657,715,398,388,773,
946,038,512,962,124,191,750,323,197,606,464,844,338,357,485,740,167,571,526,
395,670,146,251,021,618,243,095,833,822,959,453,369,869,148,414,038,544,300,
646,208,682,698,153,338,013,987,072,201,260,312,548,947,826,593,297,250,475,
925,302,644,832,182,775,980,414,719,965,991,078,611,926,924,702,972,246,419,
279,889,899,654,591,178,821,030,525,947,575,230,543,801,695,504,574,903,849,
291,340,650,569,194,190,093,882,989,472,052,952,830,276,490,651,491,119,031,
094,556,341,529,605,204,764,029,242,331,976,981,767,898,223,739,665,634,186,
523,702,538,658,549,315,856,744,250,514,732,675,029,851,260,978,900,245,301,
383,341,599,911,339,249,032,835,625,043,757,288,549,227,897,919,410,114,741,
780,863,232,675,947,158,258,631,027,061,799,206,250,621,840,480,033,879,133,
961,358,993,527,376,930,755,036,461,657,422,724,418,122,821,405,305,851,869,
241,352,273,596,129,055,670,450,736,385,916,964,371,176,039,863,932,983,362,
021,362,467,271,936,843,530,108,359,766,382,123,310,683,957,230,424,070,250,
992,873,927,015,733,401,232,982,896,386,141,755,111,889,649,568,709,778,895,
249,734,040,266,354,669,484,421,215,357,126,990,313,069,022,594,742,149,476,
847,472,682,527,040,386,162,545,097,974,843,882,679,985,836,686,545,581,308,
206,284,910,103,407,743,132,386,469,184,804,480,880,001,119,649,865,794,948,
463,169,331,649,450,832,717,686,772,526,212,042,987,667,551,098,979,891,409,
708,809,012,453,879,899,855,106,403,959,026,602,954,242,508,353,328,424,955,
538,379,434,137,182,179,089,355,872,145,071,662,894,854,084,591,078,078,189,
503,160,928,370,779,783,909,566,467,433,436,954,494,636,797,762,836,062,148,
231,186,893,412,105,775,596,974,660,322,978,458,495,827,449,018,116,776,033,
662,079,431,212,052,796,162,949,917,282,208,861,181,553,530,937,531,125,896,
087,370,993,030,094,406,207,336,199,343,630,474,257,314,316,949,416,183,100,
136,090,182,706,301,181,723,095,169,800,967,140,809,907,488,976,385,006,055,
329,970,711,749,158,305,128,332,280,008,794,375,036,558,666,148,900,309,904,
584,645,678,388,896,404,782,338,129,776,553,930,205,841,723,458,265,064,446,
811,913,195,996,882,930,411,594,667,632,042,315,624,275,162,680,487,690,359,
975,925,338,292,401,049,387,867,482,654,483,174,933,182,007,333,786,165,093,
316,657,831,149,233,517,067,256,480,440,673,953,547,713,721,864,935,197,249,
872,501,896,946,168,833,841,389,060,706,956,789,337,401,129,502,511,034,505,
119,927,011,719,442,079,584,503,799,799,826,737,166,523,830,654,475,418,294,
921,913,197,551,770,081,286,079,490,442,958,760,134,770,037,770,297,368,237,
842,875,387,407,232,822,210,729,488,371,200,595,094,503,262,418,390,155,541,
186,901,970,679,654,375,568,915,828,452,815,876,411,573,749,749,042,753,247,
628,058,141,179,338,818,643,696,432,591,249,209,800,161,524,982,015,305,453,
652,260,045,686,798,766,523,236,277,521,322,496,855,924,322,243,720,736,999,
302,277,027,440,291,912,585,399,435,976,034,405,037,808,370,584,293,855,066,
439,046,601,372,764,998,418,769,153,310,229,654,412,221,216,970,429,011,185,
197,202,176,328,178,939,997,830,025,422,498,777,799,923,574,955,088,794,513,
364,374,475,897,732,293,773,540,078,934,562,746,321,281,215,489,540,979,565,
459,133,372,418,591,879,058,023,210,428,713,064,580,884,667,021,870,006,543,
097,283,754,652,568,668,191,464,074,137,310,674,648,421,999,371,468,025,501,
465,564,712,914,679,264,980,522,962,928,660,510,809,240,288,965,493,420,906,
888,889,625,523,251,716,250,250,521,279,652,397,627,256,606,843,197,427,518,
652,295,292,303,212,337,963,011,389,309,234,257,725,806,100,517,065,070,328,
477,843,636,404,976,799,255,575,788,425,810,483,600,779,900,624,580,586,945,
402,855,343,174,424,258,109,486,782,348,429,233,398,109,283,789,116,917,643,
142,608,540,485,500,801,781,044,611,541,429,804,022,272,949,564,302,582,414,
342,930,861,704,723,516,668,343,299,393,361,543,393,438,843,948,764,726,899,
981,987,447,748,012,274,245,887,155,235,527,633,554,410,636,743,568,595,201,
370,817,394,374,567,228,533,148,084,925,452,777,469,131,416,051,174,849,359,
950,787,234,850,318,091,688,520,132,618,003,691,037,676,806,151,455,738,766,
742,357,057,304,559,649,471,583,140,259,588,016,623,042,155,868,322,483,170,
692,917,583,601,212,263,366,108,699,942,087,871,680,402,452,892,449,455,491,
691,134,655,125,516,450,112,591,872,681,860,192,970,083,365,371,301,478,346,
706,611,545,208,316,822,292,651,227,540,659,886,426,610,714,557,869,240,898,
075,997,547,955,184,460,294,956,632,530,162,163,901,316,601,370,461,270,762,
100,377,986,660,967,339,596,315,597,011,789,170,751,121,860,080,520,788,356,
412,025,734,386,495,573,342,057,327,940,282,733,761,472,785,507,188,220,848,
698,290,577,730,750,248,841,060,470,893,206,750,595,277,905,641,437,774,184,
451,633,933,082,622,019,291,087,388,001,041,820,338,431,835,364,367,768,358,
397,411,147,457,341,547,678,969,336,875,802,984,294,996,430,227,697,278,666,
411,597,606,533,269,100,717,329,205,560,898,494,461,839,938,602,458,847,165,
102,990,982,386,510,235,467,474,521,852,675,973,726,461,779,959,706,239,552,
053,532,144,295,284,416,819,663,326,315,852,766,098,597,420,739,580,555,734,
081,096,259,921,159,850,756,232,537,203,893,803,807,198,106,768,248,430,593,
980,421,059,198,163,371,188,364,952,840,633,265,805,633,395,631,370,551,192,
862,665,727,283,219,240,901,702,330,828,317,942,661,714,843,514,368,348,179,
994,761,599,971,418,262,134,141,171,462,196,747,407,911,372,204,500,886,330,
124,891,698,125,247,746,176,405,065,951,584,442,984,046,248,021,795,633,362,
931,634,760,939,715,896,391,265,778,801,015,049,268,482,694,380,515,691,594,
356,678,301,396,135,440,149,756,201,317,772,028,178,264,238,147,454,236,700,
543,692,500,866,553,506,341,551,953,388,072,743,720,201,964,448,326,957,663,
405,039,660,232,890,147,613,464,774,774,820,544,980,039,124,240,101,534,891,
008,424,485,141,317,671,159,769,152,553,627,441,107,627,169,355,549,688,896,
547,283,586,306,198,179,666,287,829,121,224,390,767,719,663,108,876,033,748,
396,778,476,144,018,250,907,688,536,372,593,341,264,521,852,902,838,967,117,
018,006,586,486,582,924,673,427,883,418,808,601,571,596,111,927,228,543,326,
718,753,427,043,416,989,119,962,987,272,466,236,988,359,106,081,789,820,776,
965,399,096,298,618,076,443,202,241,143,500,407,910,277,616,184,828,365,865,
885,809,374,965,187,264,490,346,134,801,741,554,006,522,094,141,087,566,233,
084,075,690,078,879,264,027,414,458,037,890,766,815,980,022,217,361,040,750,
407,609,813,096,066,552,743,125,734,964,129,557,009,563,229,096,349,158,408,
840,369,404,381,705,671,945,425,291,327,990,182,193,837,504,693,368,848,461,
993,193,171,861,086,593,487,835,252,197,475,938,773,055,558,201,811,638,173,
602,723,512,887,339,683,788,249,320,858,828,541,042,249,096,542,531,921,404,
777,049,247,005,024,418,972,030,180,940,886,180,357,201,027,338,195,170,270,
348,438,108,707,654,771,896,506,399,737,028,537,525,022,756,549,451,157,007,
849,954,420,159,777,417,430,953,837,503,169,983,936,241,778,934,610,830,957,
448,007,941,074,169,082,426,751,441,345,006,564,883,080,960,618,891,414,689,
475,137,056,035,744,871,312,685,513,111,990,528,661,966,357,158,982,233,394,
208,413,659,819,894,780,934,866,492,841,001,806,458,162,813,519,476,607,230,
485,553,499,288,094,953,756,254,578,564,468,546,709,806,240,189,248,862,009,
702,239,455,071,972,608,607,819,184,087,053,159,017,389,700,865,211,203,912,
930,287,422,803,369,726,575,179,995,527,121,796,782,223,445,762,229,827,581,
584,085,948,566,339,672,895,835,418,359,047,185,436,757,168,165,557,349,849,
505,311,788,776,074,841,550,401,474,028,778,596,776,039,389,799,025,660,849,
970,089,114,123,588,999,703,821,451,298,384,485,773,765,966,878,506,065,574,
389,845,119,052,935,840,758,812,100,411,119,582,895,888,586,611,254,575,708,
990,588,774,055,307,131,409,201,730,432,343,893,791,316,661,686,184,451,613,
738,770,986,257,287,047,591,886,243,083,233,813,733,323,320,172,899,929,843,
992,154,429,059,819,010,385,680,037,646,013,627,775,449,514,196,607,556,320,
132,087,685,949,308,875,632,956,330,344,534,122,926,997,926,695,831,508,900,
976,020,403,256,156,016,934,049,458,248,193,318,033,158,277,805,406,163,111,
812,775,642,739,868,020,495,996,458,367,912,342,009,038,027,931,920,894,039,
089,255,183,874,118,544,546,241,734,314,339,513,739,971,490,946,871,740,701,
184,340,603,884,424,697,055,429,349,002,924,498,217,285,575,175,917,628,399,
933,072,589,782,484,910,568,095,088,246,002,024,971,382,398,208,517,500,079,
655,403,858,553,963,081,553,755,937,183,879,327,920,388,860,557,341,168,171,
870,091,138,856,188,003,189,343,348,826,319,192,323,826,308,980,036,178,899,
889,154,582,590,459,485,941,636,765,198,823,307,505,101,556,112,369,525,973,
292,276,319,837,050,950,658,699,923,207,029,724,161,377,471,395,110,529,784,
218,089,191,906,570,112,008,565,327,831,111,051,831,500,088,903,302,215,448,
614,115,769,365,236,361,055,943,614,726,099,993,294,265,876,386,192,768,287,
577,875,423,678,572,857,667,375,669,928,869,855,990,518,910,151,900,455,100,
747,817,687,292,799,307,698,408,239,107,894,848,605,248,300,523,865,917,560,
472,281,350,904,077,807,608,518,180,943,262,549,857,871,746,142,634,198,882,
673,792,410,544,723,338,750,953,388,502,739,527,426,468,562,040,542,447,643,
785,476,379,935,239,505,002,264,694,829,372,628,086,342,104,206,318,406,118,
180,593,173,741,572,830,207,412,580,482,228,929,966,300,759,125,331,227,869,
814,177,061,938,352,236,409,890,630,431,274,672,711,663,852,549,063,858,831,
278,703,738,777,551,949,354,768,236,060,855,983,301,564,045,016,653,504,572,
097,045,530,183,709,844,495,666,309,902,839,801,269,204,077,046,730,180,264,
510,939,268,727,093,513,801,186,914,364,744,760,828,769,556,868,559,358,048,
509,667,777,239,307,392,603,323,973,767,426,920,884,190,305,230,648,089,639,
996,439,585,763,418,882,564,819,844,805,101,885,471,710,550,949,449,190,335,
153,598,334,974,757,341,790,113,758,969,540,853,267,001,552,589,928,006,506,
358,570,121,280,919,674,168,176,968,282,880,522,963,820,539,703,325,882,071,
304,512,561,361,486,791,397,406,812,932,827,797,024,026,354,649,624,093,496,
740,999,636,900,492,418,858,357,547,668,767,954,256,196,155,688,259,703,012,
293,194,613,339,490,770,186,300,655,279,836,776,675,437,553,957,415,391,495,
335,413,883,437,661,628,056,324,857,297,418,059,974,939,936,080,406,148,183,
000,250,930,816,877,672,528,789,264,288,460,414,240,421,166,888,857,500,402,
188,433,510,845,597,148,777,304,735,387,257,477,469,116,770,034,209,749,808,
903,154,399,013,441,053,431,702,586,526,822,875,978,580,466,870,291,559,771,
525,671,940,009,702,085,897,416,140,004,130,903,387,532,151,575,413,536,439,
902,496,818,838,199,182,467,456,952,455,488,689,040,940,316,186,436,360,674,
321,743,279,318,487,769,658,358,349,485,245,369,742,120,832,133,492,618,792,
985,266,158,670,282,307,216,251,576,902,519,193,619,095,012,933,539,811,245,
482,817,796,856,339,575,636,887,344,312,368,934,720,064,483,439,981,187,665,
836,352,188,801,899,611,471,353,748,256,975,731,698,129,748,866,515,949,935,
782,644,471,765,078,268,118,337,792,315,209,973,442,941,968,793,767,017,519,
616,836,066,755,943,733,826,432,696,464,021,655,232,197,957,391,379,171,882,
297,391,634,813,287,537,300,722,774,413,972,019,243,256,358,622,043,923,664,
643,159,073,311,592,862,590,145,443,096,941,549,429,647,437,936,307,055,060,
472,655,990,254,463,790,354,647,460,496,298,145,654,394,516,883,857,590,312,
598,368,785,277,583,220,435,507,060,273,496,656,467,075,237,019,590,254,988,
201,167,479,237,764,987,700,992,566,132,697,439,762,130,524,533,324,419,991,
715,334,401,214,964,765,224,923,697,693,949,221,120,319,884,681,846,343,580,
794,327,132,639,999,114,404,177,905,946,086,896,633,283,144,627,599,744,487,
456,556,450,004,601,566,736,890,415,719,365,323,253,893,081,153,993,150,955,
358,363,499,718,493,113,492,337,795,919,000,743,759,121,523,499,898,075,922,
822,836,110,736,106,183,640,525,879,789,351,612,928,470,184,013,259,736,870,
595,421,453,833,889,702,695,566,520,153,051,391,203,028,712,910,522,722,682,
403,830,243,960,694,170,559,186,584,320,395,457,266,886,863,995,845,925,314,
569,348,728,347,874,779,854,629,772,663,535,688,931,878,445,769,635,028,694,
278,393,564,286,910,570,031,729,967,895,982,313,514,745,616,824,434,452,561,
169,243,479,929,146,896,500,996,995,058,139,218,288,289,729,406,042,741,600,
019,857,438,886,889,754,768,869,258,615,439,348,345,410,989,101,197,006,365,
455,852,539,985,702,550,765,381,727,143,056,536,784,015,955,492,548,201,278,
584,920,915,154,619,140,933,806,518,852,589,558,382,871,262,145,463,885,105,
645,394,875,205,673,251,169,939,316,397,525,154,755,051,724,315,680,001,960,
829,117,297,814,580,150,969,427,580,973,405,943,120,652,077,474,971,570,994,
221,575,039,490,103,642,313,900,823,299,441,400,521,286,584,221,380,808,514,
881,795,931,378,980,429,332,560,528,456,197,647,805,734,401,048,427,072,539,
605,287,186,096,316,920,816,550,917,676,650,705,924,419,144,461,386,677,929,
597,146,657,842,774,556,137,853,774,249,656,253,977,960,642,300,230,163,569,
984,794,428,764,847,369,684,871,893,883,624,934,706,886,337,025,574,750,125,
674,366,698,883,950,625,118,339,527,140,615,794,887,590,665,928,246,506,185,
186,827,592,480,966,447,561,713,243,615,715,543,082,422,614,945,020,022,496,
524,942,497,101,412,371,634,533,555,193,320,180,952,390,373,091,058,508,865,
498,469,503,658,628,413,615,185,498,812,883,582,043,729,268,931,745,525,842,
353,652,352,574,015,440,231,392,488,630,870,531,342,865,452,446,285,224,868,
328,311,916,306,219,780,416,011,782,206,620,879,063,459,567,838,760,942,883,
662,516,415,576,533,325,557,238,159,446,179,514,915,191,696,678,104,628,421,
545,130,952,677,545,761,213,930,187,647,942,986,446,485,285,008,959,489,558,
498,209,550,353,549,759,754,395,045,295,427,169,490,268,016,444,735,984,729,
311,077,926,073,560,538,844,582,659,960,096,892,940,331,725,748,874,688,755,
760,221,942,295,418,443,322,316,020,006,591,603,670,922,664,847,924,577,728,
530,205,964,570,715,245,767,154,748,078,949,266,685,574,083,449,102,352,250,
397,093,175,686,187,797,630,588,930,713,347,901,620,531,768,439,927,892,537,
133,932,833,272,965,340,683,185,322,163,569,485,876,043,053,320,726,822,019,
362,375,416,127,505,156,190,924,833,050,353,731,648,033,583,124,882,062,734,
869,432,628,178,851,302,275,501,015,266,410,671,040,095,868,648,979,868,691,
299,031,034,518,275,130,618,151,310,932,989,990,269,726,077,677,098,784,502,
313,363,985,021,321,362,906,098,758,595,887,424,432,820,991,980,371,478,131,
925,538,649,792,295,415,315,504,624,727,756,858,586,046,341,220,458,407,845,
194,982,105,325,462,987,218,365,964,189,983,632,533,308,948,622,927,947,626,
476,030,732,874,934,648,492,107,611,998,910,080,260,386,424,824,051,976,776,
126,024,599,791,976,622,812,371,181,267,111,299,404,640,139,236,966,376,411,
268,648,040,783,026,186,281,197,776,706,110,924,108,999,064,559,668,844,091,
396,153,584,208,872,444,250,589,703,739,254,080,074,197,280,656,964,755,535,
433,613,830,005,655,489,283,397,532,906,252,816,425,176,566,286,973,158,677,
334,628,612,540,824,790,343,621,947,724,635,702,482,467,415,229,576,719,490,
145,026,477,894,475,437,144,696,884,248,733,649,347,192,929,407,048,831,721,
163,133,490,923,866,411,772,651,390,845,969,242,842,850,702,449,539,335,954,
113,798,198,070,741,019,675,437,941,847,760,124,863,027,236,916,264,659,585,
983,796,126,088,909,374,934,514,985,451,153,423,907,348,825,407,735,631,476,
118,462,004,834,128,485,174,072,293,473,099,105,598,807,313,963,329,699,262,
372,156,428,210,377,909,426,249,908,793,658,736,478,359,818,212,243,046,055,
760,446,485,801,318,714,309,668,091,785,796,297,958,180,498,864,849,774,426,
641,755,887,324,689,079,568,912,021,739,429,038,001,949,440,179,398,964,155,
892,210,142,256,286,136,293,182,613,259,442,073,561,395,456,421,211,645,032,
173,565,474,236,734,673,070,361,568,303,227,062,567,088,907,245,980,206,246,
415,371,678,622,544,348,845,094,985,831,844,540,248,876,275,745,310,327,472,
728,112,025,702,692,663,502,671,583,414,024,736,399,924,589,337,014,563,427,
595,117,529,701,826,258,709,093,118,809,928,764,005,530,704,164,876,456,133,
363,134,964,512,289,639,265,629,077,817,337,820,547,102,713,080,788,685,048,
913,675,483,521,178,938,500,217,453,244,410,329,021,019,902,926,054,596,902,
799,244,012,389,073,053,858,609,756,346,288,976,686,727,935,872,833,068,189,
816,893,868,130,351,707,286,509,876,360,278,996,244,605,155,195,175,555,806,
230,467,148,010,497,183,811,170,172,477,596,609,688,218,949,648,525,192,548,
210,084,639,726,103,278,730,637,111,172,672,627,278,159,100,219,579,864,016,
509,556,063,675,989,468,448,047,385,773,638,823,030,507,843,216,884,691,685,
442,380,445,440,779,766,257,651,667,868,864,119,419,087,493,295,201,933,941,
316,701,835,920,152,527,176,678,657,008,853,809,684,982,409,047,687,498,015,
967,400,957,706,454,433,358,439,957,261,059,826,735,528,822,111,284,266,630,
664,952,606,101,950,255,071,688,702,994,191,587,234,034,769,293,284,880,954,
649,748,976,748,140,060,430,350,665,288,469,395,906,554,438,990,258,039,486,
027,146,867,377,344,714,689,983,075,530,295,861,187,714,538,749,909,806,495,
149,181,330,757,661,513,060,823,148,672,248,689,896,469,187,610,995,460,491,
430,547,385,331,812,466,109,458,702,547,069,004,470,146,121,134,453,092,886,
162,581,004,189,040,668,743,451,682,562,495,345,581,406,881,109,525,235,107,
507,128,373,265,868,923,152,550,381,771,969,425,353,273,088,970,695,967,363,
726,050,818,004,220,898,545,427,736,551,771,887,837,179,126,460,691,342,689,
624,085,738,793,106,077,067,114,480,881,630,038,803,331,874,953,827,549,395,
199,394,754,602,652,680,973,213,072,795,133,564,032,680,209,644,682,177,757,
306,905,652,680,073,790,999,375,549,938,233,353,161,491,352,137,290,725,430,
134,015,653,424,936,368,711,720,489,537,750,854,515,315,100,821,759,002,640,
043,386,766,993,219,765,847,634,744,418,041,285,206,462,179,047,850,204,736,
438,708,720,572,964,026,123,398,825,686,166,277,038,056,351,616,012,946,645,
280,260,750,199,268,290,658,138,445,627,048,883,070,547,134,563,777,022,065,
728,749,704,631,711,191,558,811,306,736,133,586,924,151,405,611,214,926,351,
566,963,208,230,491,764,800,424,298,953,429,784,571,122,555,017,023,201,820,
991,433,364,805,559,812,798,505,014,806,701,430,487,188,396,418,056,928,720,
799,870,566,914,117,862,728,544,039,504,335,424,401,856,730,547,798,007,410,
590,912,966,446,048,951,969,040,979,641,883,767,174,872,063,316,227,051,943,
322,837,604,626,230,254,477,500,829,762,580,425,813,431,757,302,625,023,906,
566,620,020,951,807,367,207,204,871,197,180,003,981,635,274,043,219,583,211,
645,840,412,038,238,468,370,812,175,527,624,364,414,555,397,440,336,317,748,
608,291,701,042,288,661,315,344,303,966,559,834,309,513,867,510,193,875,038,
251,866,677,349,029,499,786,034,340,723,911,370,228,092,886,385,255,425,325,
426,045,963,710,521,214,368,604,850,845,112,943,664,709,816,724,003,780,128,
156,692,425,477,604,914,986,554,909,827,961,823,562,444,789,116,535,535,050,
475,185,538,706,369,987,543,355,432,065,272,963,796,120,301,690,090,142,686,
084,749,586,029,450,747,706,982,620,359,767,857,123,828,180,380,275,249,178,
914,327,768,535,264,939,470,275,211,108,986,462,257,309,721,554,996,998,040,
750,495,051,900,356,769,660,244,835,073,744,179,764,769,583,387,853,988,813,
557,293,761,339,102,946,172,148,292,772,163,828,232,247,891,708,809,763,001,
159,047,363,530,981,520,885,980,247,547,245,704,910,832,374,042,653,273,681,
301,844,004,323,497,229,915,685,319,716,245,749,941,627,710,671,541,428,009,
972,673,823,326,443,593,509,194,226,351,600,366,792,133,591,469,751,977,055,
604,104,607,637,798,765,538,310,765,930,807,586,552,806,345,000,254,011,679,
619,317,745,090,601,146,225,985,176,721,736,792,754,844,889,117,816,424,662,
155,812,451,771,879,205,650,728,886,713,557,029,907,953,208,071,962,467,637,
817,377,491,784,701,456,371,977,271,962,093,184,283,547,044,601,797,357,374,
317,960,106,089,923,829,492,031,947,668,093,560,719,771,387,218,302,512,458,
211,006,355,850,979,306,412,558,546,466,592,575,521,100,235,432,935,803,852,
647,789,864,670,699,478,682,830,917,749,181,082,258,475,076,776,783,529,838,
851,114,374,524,475,612,688,360,138,948,417,131,844,491,424,999,001,554,505,
522,904,465,177,135,972,820,342,641,165,077,077,963,522,845,080,360,209,144,
048,509,798,390,947,376,065,240,094,909,696,397,170,587,466,727,104,644,034,
801,547,650,217,455,794,713,668,371,291,356,607,063,966,316,664,429,670,487,
469,561,508,844,617,111,540,365,870,302,839,355,753,079,021,544,841,524,337,
455,716,731,121,525,495,975,690,967,877,486,946,099,456,745,228,048,419,641,
952,189,066,373,029,879,725,203,927,232,475,140,442,603,503,601,007,172,189,
897,617,627,261,846,590,768,479,105,779,409,137,729,322,870,616,237,354,258,
122,355,759,271,318,988,666,014,870,240,555,677,891,539,798,843,439,053,297,
478,744,689,505,238,011,293,059,156,200,958,368,715,824,646,965,730,402,370,
341,974,834,304,799,254,178,488,453,473,010,410,942,595,338,440,464,770,820,
814,109,696,980,368,582,649,130,628,854,446,383,362,701,241,267,410,916,925,
784,221,471,196,591,606,615,020,042,909,291,767,569,489,193,827,493,224,515,
366,187,089,573,474,525,593,124,531,765,549,217,831,763,111,623,371,966,948,
293,624,653,711,472,621,387,110,289,272,564,424,191,813,435,157,095,740,185,
381,123,181,188,495,123,184,972,981,634,196,778,739,467,047,040,351,533,845,
623,787,614,068,154,755,331,390,779,295,010,142,010,371,226,084,255,874,849,
615,104,797,891,269,622,599,341,899,587,439,365,742,261,600,056,498,602,495,
498,271,410,358,813,048,975,281,940,423,593,773,804,059,993,344,577,690,069,
293,021,432,445,006,538,151,710,473,965,344,001,698,174,319,872,218,838,586,
137,857,790,944,865,602,817,944,428,382,330,814,208,574,713,332,726,801,022,
373,841,048,794,155,296,256,218,074,543,504,543,883,944,348,446,571,360,351,
780,793,408,707,983,269,569,342,676,115,875,737,655,847,056,695,685,809,594,
179,572,083,007,532,292,035,224,714,936,377,169,030,833,282,821,580,512,822,
719,110,192,073,396,201,460,605,261,837,620,223,631,552,477,258,132,806,861,
895,159,791,242,752,596,600,685,279,844,420,521,025,232,619,374,195,656,725,
301,284,136,552,290,448,077,769,332,396,305,890,938,599,151,544,889,663,671,
172,142,209,985,902,537,099,924,547,964,666,913,042,420,433,814,214,077,674,
893,894,948,280,115,230,566,169,957,736,886,626,571,500,861,448,960,974,349,
916,200,676,279,032,976,638,871,930,191,751,856,834,885,158,973,210,385,902,
998,090,757,239,643,608,390,741,016,818,569,282,108,936,210,526,596,457,729,
393,789,111,285,503,488,526,681,492,547,760,633,195,631,341,568,741,889,758,
768,085,045,078,903,140,048,617,566,889,885,354,366,018,113,922,736,111,781,
108,044,313,241,388,888,440,352,247,690,308,859,704,147,567,555,463,287,141,
573,607,027,148,251,944,582,909,639,543,339,830,017,742,592,695,331,856,151,
982,101,014,165,510,159,251,183,346,070,494,524,648,641,878,755,608,203,421,
827,003,520,719,691,342,277,319,792,931,519,984,184,311,537,561,024,133,784,
149,518,221,866,308,962,864,361,696,867,941,397,563,844,780,951,915,932,701,
008,278,011,578,735,108,038,550,101,759,082,700,555,950,884,269,446,644,444,
402,699,457,735,306,799,485,471,145,358,269,819,471,248,339,526,398,095,674,
595,888,093,471,822,245,505,935,069,282,910,384,767,295,870,536,720,124,239,
494,211,026,114,056,480,878,290,346,809,435,047,711,261,552,216,905,620,565,
274,523,312,916,184,315,628,940,583,845,350,893,123,630,833,223,264,364,228,
820,480,563,787,334,622,636,844,132,646,713,331,546,076,824,120,152,930,835,
435,011,931,153,007,737,440,060,484,415,493,437,308,194,155,118,294,174,991,
298,443,570,508,474,531,504,229,914,420,405,931,657,699,552,964,421,575,985,
551,718,549,388,593,948,189,304,068,914,338,334,862,451,939,481,428,110,513,
159,580,092,223,044,237,239,130,850,283,383,083,548,500,394,553,321,962,462,
575,535,138,861,670,082,690,415,107,742,532,480,147,040,633,898,217,928,864,
991,134,733,289,346,182,342,511,243,082,878,752,481,301,857,381,708,240,291,
323,669,330,526,833,871,864,018,198,804,186,373,454,884,502,481,510,366,801,
183,939,142,067,005,524,985,343,252,182,931,328,480,295,130,641,290,039,162,
169,158,681,390,894,212,534,429,192,100,572,740,905,715,666,210,111,683,972,
100,056,710,665,500,772,547,337,808,660,880,658,690,762,646,002,711,565,812,
262,594,252,745,200,185,569,345,233,175,839,373,945,751,775,351,744,292,598,
713,686,850,237,551,015,594,881,948,833,141,325,534,591,283,862,908,474,853,
098,056,242,805,235,378,799,426,400,879,338,785,933,339,200,945,309,668,455,
524,594,851,583,928,764,999,338,596,326,892,885,715,043,104,763,143,484,651,
566,834,696,834,895,974,326,443,861,113,300,383,891,869,960,033,101,767,695,
851,682,380,984,988,051,113,064,860,107,215,145,329,210,797,858,621,236,125,
460,617,251,353,410,456,027,466,277,304,298,746,481,773,689,091,811,048,630,
916,867,140,675,007,893,948,863,271,114,270,559,642,307,322,674,792,916,653,
623,354,396,962,765,380,558,049,043,492,845,350,163,456,380,190,592,883,115,
639,130,121,007,359,979,030,965,981,372,885,128,458,399,509,953,038,286,204,
231,244,306,458,565,409,435,891,765,349,773,619,054,138,122,370,641,183,685,
985,401,896,592,037,162,626,344,726,388,144,773,856,736,108,194,054,953,835,
483,704,888,243,445,463,949,435,302,919,741,328,933,975,034,231,774,952,372,
203,830,004,629,549,305,980,539,620,364,523,310,161,684,696,890,444,230,487,
061,280,269,055,897,499,343,104,733,141,510,412,166,876,842,969,570,495,228,
695,347,616,066,591,802,037,166,028,065,823,858,365,633,754,101,499,416,401,
743,847,448,187,708,733,850,199,403,763,005,158,107,772,741,020,197,526,506,
426,336,700,048,242,404,585,661,296,852,214,473,983,713,262,915,716,458,088,
480,511,508,918,690,614,717,135,591,699,779,828,747,173,206,577,960,140,402,
016,960,373,556,748,577,047,115,557,504,384,211,157,584,778,434,344,894,673,
055,941,631,401,176,995,986,596,609,135,774,551,122,922,916,092,729,714,326,
886,341,799,409,270,054,915,975,417,440,374,228,130,678,416,997,242,038,896,
864,748,113,750,448,816,451,454,347,759,097,346,782,291,728,687,308,115,693,
207,949,563,785,358,634,841,967,713,769,749,945,451,181,680,832,532,713,688,
137,284,905,934,366,739,770,979,860,897,574,672,503,281,968,543,082,080,320,
144,862,881,678,531,171,976,549,115,220,775,580,559,820,873,127,349,956,507,
939,416,095,676,107,893,781,259,743,172,357,175,785,545,994,371,831,262,704,
772,530,939,308,081,959,346,237,329,041,083,677,222,969,692,763,462,638,055,
753,066,035,583,613,081,946,341,356,507,104,186,561,520,514,126,136,512,478,
209,333,224,707,469,896,510,243,218,516,902,636,536,946,411,033,311,145,058,
371,469,808,895,718,809,915,657,914,309,821,411,945,827,482,727,106,970,005,
133,363,179,817,384,158,218,371,879,516,573,813,771,421,945,065,259,001,713,
936,695,361,940,860,522,653,172,199,027,262,510,103,496,184,915,015,611,644,
811,829,641,973,285,987,054,267,497,711,822,809,888,904,248,147,668,072,860,
404,356,460,781,667,762,700,898,567,050,858,997,909,327,263,489,920,569,289,
379,000,032,383,073,764,190,191,870,800,188,049,803,308,637,207,502,785,864,
053,768,941,928,478,330,466,877,978,558,771,086,966,998,045,434,606,463,173,
742,588,907,366,290,439,077,950,952,803,299,025,694,618,197,617,301,906,686,
895,875,303,891,943,445,771,152,538,583,584,358,016,165,485,268,446,394,610,
578,866,093,739,209,489,238,173,654,760,800,843,694,958,393,767,546,145,125,
534,723,345,146,548,947,610,101,986,408,612,780,171,603,165,528,654,515,831,
528,810,038,474,207,511,250,592,236,402,552,955,438,298,734,957,917,012,712,
503,802,758,688,795,358,271,012,953,233,065,364,897,436,340,635,940,957,747,
313,077,379,673,172,781,375,510,502,594,239,650,446,871,034,364,439,011,487,
018,171,086,662,576,105,346,438,405,780,285,305,390,745,368,846,051,808,619,
473,356,953,321,004,540,764,412,163,906,610,381,099,313,963,936,495,862,789,
548,265,946,424,014,965,300,419,689,154,367,654,113,304,046,032,202,362,184,
074,370,730,005,280,376,624,965,562,080,869,846,220,757,703,330,143,978,504,
677,968,687,992,952,546,502,982,045,920,824,732,575,855,424,657,034,459,005,
877,693,814,874,680,808,144,420,826,399,274,071,692,914,375,084,399,929,318,
964,340,735,103,399,489,769,930,134,830,125,632,512,418,015,009,782,219,064,
089,218,530,029,663,660,439,618,373,915,598,092,585,440,151,938,994,541,787,
139,842,041,204,585,587,187,517,650,085,972,357,118,091,238,557,678,401,247,
386,216,827,637,585,327,240,712,220,176,519,782,077,485,593,705,906,048,195,
230,271,191,792,058,313,035,047,542,754,712,006,297,962,996,861,724,571,837,
528,013,094,617,524,175,916,158,606,003,984,325,962,399,841,979,051,154,127,
275,012,242,829,140,115,844,470,215,984,199,997,003,374,442,662,580,476,215,
510,029,135,639,591,983,172,122,563,792,988,354,917,771,224,275,000,724,876,
520,390,909,194,582,007,307,391,150,110,917,311,334,196,581,683,184,124,915,
557,185,123,427,117,201,900,368,176,694,420,582,029,290,616,819,430,117,718,
374,234,913,555,963,169,825,885,162,854,694,947,591,542,463,650,425,020,422,
407,146,094,645,476,641,523,486,039,863,315,384,444,999,361,441,434,410,329,
833,019,657,163,246,568,200,466,886,328,568,289,792,758,937,720,173,124,005,
972,595,995,189,420,963,715,033,480,437,559,874,718,855,253,659,157,744,533,
646,768,937,705,998,535,803,106,499,755,452,182,083,966,199,662,693,832,611,
173,353,508,921,665,315,859,811,311,673,979,187,248,122,686,536,966,235,605,
401,896,395,494,588,796,291,170,885,877,701,725,495,567,339,344,293,679,697,
543,378,300,045,470,669,047,024,034,096,424,796,083,014,477,209,723,306,622,
159,702,056,079,390,267,525,082,430,878,986,844,657,810,593,542,173,467,812,
395,417,415,475,819,494,128,338,438,528,003,018,786,205,306,920,706,157,794,
097,770,037,816,694,129,205,821,150,541,296,743,904,490,566,178,599,843,939,
975,942,967,896,549,314,699,885,064,623,363,636,145,228,601,156,804,928,897,
316,311,734,319,780,703,066,169,561,275,334,955,723,423,638,913,412,566,042,
599,399,620,450,236,721,961,141,964,051,989,309,032,952,930,486,259,772,738,
399,835,967,001,158,576,444,429,491,282,711,929,696,120,100,894,888,238,705,
053,991,482,654,504,457,483,920,043,484,981,268,832,061,260,138,867,775,442,
532,617,859,963,069,905,409,138,732,744,191,680,026,655,192,880,408,064,357,
570,264,523,864,905,304,948,494,611,685,193,934,869,124,025,204,167,090,869,
395,223,394,303,648,200,958,802,639,984,722,182,046,220,566,913,697,938,012,
363,375,978,870,542,675,354,453,316,281,648,183,776,273,192,402,096,908,204,
316,102,708,382,408,629,345,886,036,059,032,653,568,098,098,964,739,065,881,
539,223,735,690,273,593,900,979,893,708,523,459,662,591,697,569,554,365,699,
719,673,233,829,885,346,193,534,258,470,590,346,118,775,275,725,451,686,475,
323,863,474,010,198,910,507,584,478,083,325,869,402,299,226,575,340,862,644,
067,025,761,506,079,078,738,587,773,855,519,350,076,289,246,963,524,488,629,
253,019,544,323,401,808,746,844,110,223,681,825,843,197,334,129,106,927,139,
666,257,665,108,768,989,105,222,478,239,249,482,948,904,028,435,946,118,954,
668,978,599,037,823,809,402,704,678,977,295,633,915,689,336,870,211,061,619,
489,304,649,916,166,887,222,938,093,462,296,252,583,464,980,548,423,062,295,
901,054,317,734,569,892,192,117,072,382,473,735,243,988,265,027,617,321,241,
062,469,548,383,109,713,736,426,078,861,537,334,826,352,767,776,246,430,275,
349,039,600,860,066,640,808,274,118,677,332,847,912,645,768,111,748,703,050,
682,796,680,000,071,538,624,287,638,155,258,779,633,053,808,086,173,547,923,
362,197,597,473,138,120,388,634,856,892,943,766,277,780,273,255,892,046,410,
007,697,900,610,296,322,436,112,121,064,651,593,618,811,332,243,790,845,876,
295,779,050,336,019,329,001,099,146,498,095,342,617,672,252,928,087,233,047,
036,512,499,636,376,596,170,805,010,308,335,958,574,328,786,575,622,151,313,
245,086,517,582,017,911,020,185,160,608,847,031,842,135,133,712,172,931,201,
121,586,582,283,847,298,040,028,700,218,423,135,024,558,947,907,839,067,302,
745,191,260,853,522,551,330,191,888,698,026,710,668,695,245,077,391,564,224,
577,174,775,442,161,174,341,384,851,501,930,397,462,870,259,402,843,350,925,
009,561,481,805,927,183,425,511,137,658,220,846,622,206,977,445,834,629,975,
259,834,076,514,952,814,672,380,736,392,204,653,732,687,122,494,037,032,571,
568,275,597,094,558,321,311,615,962,088,911,780,940,853,858,216,802,689,072,
928,428,548,602,826,965,565,939,770,095,061,405,735,789,798,865,193,894,259,
227,774,226,009,896,043,051,049,894,725,872,460,371,646,529,999,655,241,629,
562,681,199,832,346,574,499,298,976,232,460,370,631,724,764,544,726,022,351,
362,149,703,276,540,106,084,835,434,602,752,014,283,314,590,083,212,193,282,
112,090,607,481,060,458,469,434,005,245,073,032,600,474,826,319,044,504,434,
367,683,597,145,035,428,704,185,377,630,165,156,579,878,466,115,433,280,657,
289,275,028,201,302,391,171,123,874,663,034,178,183,086,524,762,110,879,613,
857,281,796,677,228,860,966,240,337,826,450,115,679,867,620,160,336,133,402,
170,265,754,143,063,188,398,836,431,617,163,845,762,730,747,962,232,491,441,
864,632,598,564,715,783,600,364,517,409,277,337,423,387,619,830,624,597,004,
409,956,967,185,802,335,028,161,040,209,836,163,019,784,868,814,844,176,866,
603,720,075,582,799,509,758,317,833,083,607,166,810,393,774,117,732,213,851,
204,792,257,973,427,771,619,637,639,208,688,119,107,192,547,105,799,099,751,
363,896,001,529,246,074,402,459,969,022,546,844,827,245,971,036,697,191,109,
791,584,077,115,907,067,722,482,675,077,528,238,907,408,611,503,894,160,659,
984,492,789,747,393,342,850,246,063,035,468,428,131,962,811,898,534,634,435,
617,660,398,581,862,490,914,122,469,323,197,979,196,789,215,648,964,256,007,
490,014,717,603,672,830,887,904,893,471,749,463,388,634,684,618,654,186,201,
328,821,288,680,193,526,738,686,383,871,131,452,792,681,423,546,263,791,469,
001,329,105,125,967,586,480,995,182,895,815,975,753,961,992,381,389,896,388,
784,574,499,696,783,419,766,575,125,538,447,015,868,498,221,706,400,014,099,
603,525,393,286,847,432,527,357,448,978,054,880,285,119,180,256,868,253,446,
070,180,844,922,386,256,527,804,585,186,520,615,255,812,821,665,680,844,794,
399,131,953,080,212,344,093,630,990,838,463,317,935,824,969,850,058,184,336,
983,286,701,841,820,099,017,492,903,293,470,596,849,390,755,483,056,956,729,
950,943,196,162,274,213,145,328,607,528,992,299,779,937,881,877,857,099,734,
797,704,014,144,714,967,880,444,773,611,134,946,321,145,231,304,504,228,917,
087,442,657,780,274,055,912,077,677,600,598,336,964,440,482,231,449,508,929,
623,527,359,849,941,840,128,811,903,509,088,299,296,309,814,795,384,690,040,
610,782,194,551,617,414,823,262,816,652,258,889,739,346,456,251,456,377,042,
827,744,839,675,063,671,527,944,352,313,552,895,101,513,955,744,175,349,421,
787,794,905,094,250,017,155,087,157,639,319,115,965,018,230,442,470,403,502,
958,439,260,127,971,599,225,646,343,858,318,550,744,466,936,103,945,679,514,
325,527,935,224,267,012,300,154,307,071,771,741,081,712,668,179,655,353,798,
676,455,910,149,570,099,909,160,930,670,534,852,037,436,858,437,336,877,375,
004,881,573,012,944,635,695,007,322,549,124,885,025,492,364,981,062,831,652,
395,227,174,960,066,163,939,096,268,252,142,870,993,435,692,065,875,496,625,
910,847,011,027,292,753,771,466,538,921,954,235,596,189,468,056,098,601,105,
313,335,675,635,510,496,150,318,417,832,825,800,235,206,029,165,351,903,255,
497,454,509,599,420,228,678,706,356,191,674,893,034,277,131,678,129,388,774,
624,680,378,183,885,410,300,011,115,068,850,423,081,103,911,465,631,815,024,
247,191,065,458,309,952,409,513,316,567,374,066,751,857,683,894,707,810,294,
407,531,437,464,853,513,006,340,272,731,894,453,109,730,133,290,611,506,817,
534,480,445,391,750,534,020,230,187,282,446,504,720,216,381,212,539,438,524,
585,451,639,165,381,000,137,551,001,748,754,334,333,134,361,104,132,323,825,
983,503,472,780,775,988,889,791,537,882,485,749,112,135,791,015,559,646,710,
770,164,655,302,317,662,000,098,043,845,626,309,205,358,674,291,662,673,192,
180,873,028,185,945,240,047,626,219,227,534,324,730,549,953,527,133,943,924,
661,636,855,238,209,333,506,934,141,484,311,655,185,256,786,726,470,062,462,
993,421,985,413,960,238,966,680,953,507,637,910,316,538,365,841,144,114,849,
203,113,721,549,306,714,345,449,770,523,592,188,919,396,669,766,724,820,261,
777,037,157,863,752,762,402,469,900,489,064,055,646,838,941,536,550,928,922,
708,784,921,579,404,560,005,186,033,139,781,467,996,548,296,240,228,150,081,
953,280,357,131,291,049,653,506,862,622,465,819,318,181,955,123,620,334,183,
523,777,782,474,232,345,774,392,639,927,753,200,757,435,359,555,207,987,236,
205,468,112,794,103,077,175,238,674,235,153,854,207,385,496,137,210,222,701,
032,387,968,480,466,969,030,278,888,963,560,514,585,191,124,026,456,386,095,
713,363,369,391,744,165,346,329,542,423,097,277,177,586,563,373,520,472,388,
913,877,436,439,543,010,706,065,400,423,643,718,871,606,751,123,053,173,635,
959,406,654,723,122,167,645,013,715,522,052,309,419,035,330,601,259,264,816,
162,968,726,266,536,562,353,201,131,557,118,923,055,982,648,637,403,427,367,
666,575,914,864,650,493,695,717,814,934,566,780,099,155,019,396,464,427,924,
811,475,416,883,625,297,981,614,591,759,398,653,390,461,194,737,596,496,997,
628,700,751,871,630,094,960,815,335,143,625,253,266,314,917,015,486,738,859,
116,710,586,831,853,046,470,521,087,860,613,661,915,858,616,082,989,992,725,
235,386,429,879,136,396,525,863,173,901,207,289,558,596,651,374,141,436,408,
897,536,647,679,875,690,919,764,533,405,988,286,654,368,701,006,861,012,885,
937,358,638,782,870,125,031,139,204,565,701,891,794,561,174,370,041,822,220,
330,312,798,692,133,775,756,819,772,649,489,585,212,116,776,500,742,306,650,
319,170,233,242,484,664,946,763,366,049,834,713,692,414,611,591,422,168,382,
269,783,077,174,330,724,976,464,801,679,745,770,017,672,994,644,846,543,460,
867,674,107,365,472,073,841,858,506,088,162,543,042,829,125,888,988,681,132,
053,460,615,233,297,815,486,505,420,785,773,923,581,166,018,695,270,142,141,
440,298,931,129,854,501,346,994,426,312,209,758,256,951,737,054,722,941,002,
982,483,978,119,332,959,802,802,816,449,430,003,830,026,442,980,916,720,173,
486,912,243,412,259,415,228,637,161,324,876,078,627,391,502,031,143,663,853,
902,097,584,469,455,723,094,367,487,716,234,108,226,853,206,881,068,920,387,
167,682,478,362,602,894,999,482,460,388,308,811,692,588,126,020,885,325,880,
749,095,769,508,233,420,312,531,789,377,662,510,027,219,900,534,796,136,242,
755,603,991,208,679,781,306,851,973,651,494,921,714,900,337,424,760,456,405,
884,539,977,124,659,995,725,495,154,321,794,058,668,577,084,217,104,673,134,
391,728,514,901,696,490,149,912,335,679,838,680,008,598,789,314,598,868,277,
923,819,457,053,286,602,195,959,053,053,015,427,522,477,176,296,102,104,344,
557,599,774,748,669,780,246,179,666,013,249,456,949,647,650,954,692,013,563,
109,664,196,818,928,770,150,343,073,130,324,537,364,809,815,416,174,942,524,
428,120,972,747,129,648,407,772,163,549,052,164,315,964,271,577,062,537,412,
562,048,862,596,262,039,893,519,353,168,327,361,920,703,766,217,680,064,337,
773,607,813,751,915,319,174,635,442,999,132,274,876,300,736,267,310,107,442,
727,109,281,805,745,726,844,343,696,195,587,006,072,317,009,558,261,468,578,
776,853,219,644,611,895,379,222,631,641,545,964,281,432,165,643,156,038,567,
685,318,451,395,925,803,724,354,327,737,310,939,517,933,123,142,749,958,208,
024,424,501,646,022,578,415,672,335,440,760,346,607,482,625,620,622,281,898,
434,582,950,398,407,942,210,444,703,225,958,335,780,640,421,900,054,749,811,
345,887,060,606,276,430,372,835,131,496,222,972,609,344,401,087,413,848,966,
262,385,264,510,561,835,331,993,505,369,343,602,555,514,400,724,261,990,135,
630,883,921,984,313,952,976,030,077,020,203,810,446,807,150,258,526,497,061,
584,524,703,302,376,103,976,902,731,334,988,213,794,128,733,530,788,173,594,
751,151,843,944,461,101,033,528,897,616,617,351,893,223,612,157,132,105,479,
701,106,377,878,886,669,413,238,746,284,673,088,350,714,186,968,123,566,414,
106,798,520,635,213,072,902,303,703,035,376,731,561,835,664,318,043,376,823,
747,586,911,916,719,837,341,786,819,955,384,874,394,826,620,927,936,188,479,
222,759,418,928,425,221,485,120,987,845,841,212,632,423,786,911,030,503,301,
620,698,609,524,342,099,149,132,092,245,333,000,341,853,904,792,602,799,063,
877,968,744,091,653,475,858,904,081,316,278,596,001,430,098,110,564,852,705,
523,832,295,612,167,590,112,894,020,008,235,800,540,139,470,738,734,193,550,
187,751,307,644,289,278,364,464,918,528,425,453,156,680,384,919,731,668,038,
557,220,685,451,536,231,131,006,289,266,471,709,665,052,981,868,212,167,415,
562,809,640,828,544,863,938,187,567,627,565,457,474,033,669,094,209,538,934,
056,970,999,759,714,294,081,748,893,797,240,826,338,976,851,891,305,454,868,
165,038,372,891,588,415,340,282,466,410,950,778,889,158,744,221,834,094,572,
495,893,958,332,887,691,427,677,058,077,251,009,277,238,016,736,957,946,121,
454,496,759,979,077,670,700,197,014,258,180,459,388,503,903,089,149,929,348,
073,760,618,666,086,232,787,395,598,434,073,651,715,703,175,615,521,801,790,
163,967,429,712,473,045,848,605,309,758,790,221,282,322,204,541,243,655,377,
770,904,109,699,218,731,675,147,356,649,852,842,977,208,208,556,454,790,537,
296,023,350,633,241,003,755,462,470,412,650,349,061,667,396,416,947,691,563,
335,952,984,210,645,912,286,414,543,061,354,225,416,857,998,529,496,592,690,
806,940,992,378,019,344,203,867,273,710,413,501,506,985,891,205,744,681,601,
040,022,445,180,016,926,714,534,811,971,996,467,464,409,775,653,481,346,464,
698,965,687,089,907,414,786,981,828,346,748,499,557,197,195,177,282,679,164,
700,976,096,685,904,469,818,111,533,307,410,338,259,719,655,444,010,833,059,
582,315,311,031,293,858,724,507,141,883,445,942,007,031,307,813,497,677,495,
939,097,988,576,790,680,024,919,760,948,801,636,672,892,417,685,624,198,144,
537,219,418,199,256,769,237,413,972,869,168,727,960,589,100,843,912,511,957,
381,231,155,689,619,791,138,411,418,704,587,620,603,979,884,204,085,689,554,
971,336,438,044,534,578,092,683,326,978,645,340,395,868,691,796,440,411,537,
198,000,265,806,730,896,994,071,053,290,302,983,199,934,030,531,573,997,352,
141,070,010,108,875,534,953,448,730,339,443,243,482,810,351,042,747,994,067,
631,234,166,313,707,179,476,448,541,854,537,373,973,058,841,888,410,652,160,
640,244,877,307,682,604,411,345,542,569,269,319,815,517,649,160,588,724,372,
714,367,090,193,352,573,447,403,920,257,891,531,821,067,292,849,624,834,087,
563,083,562,670,939,055,145,356,212,934,778,127,866,067,774,126,711,045,891,
352,885,127,161,166,039,420,422,255,322,503,757,609,419,623,797,356,529,190,
064,818,798,974,166,043,031,582,527,972,753,227,485,027,144,295,330,653,766,
241,515,887,771,499,429,195,723,728,696,011,956,122,147,351,252,104,770,591,
630,085,494,042,245,312,269,599,075,643,337,275,484,663,379,022,388,281,100,
434,024,895,694,266,515,052,785,297,402,495,121,660,612,720,613,018,718,508,
062,162,450,537,752,690,920,544,488,820,629,028,613,533,424,099,538,857,862,
978,172,439,950,530,580,961,556,896,698,170,224,564,753,022,762,614,720,122,
665,671,016,151,999,041,646,669,969,106,126,100,067,315,180,010,919,782,630,
005,505,247,434,700,905,979,820,225,714,443,520,938,587,005,457,489,338,685,
603,922,815,876,425,194,745,784,914,392,990,886,534,284,121,867,684,270,439,
840,043,611,050,103,314,703,868,625,214,391,388,941,488,716,221,917,681,948,
487,707,044,770,855,682,341,571,881,874,880,362,379,279,520,677,261,140,956,
180,689,207,959,573,164,988,654,511,453,015,028,326,832,680,454,598,244,449,
246,466,317,727,819,885,918,072,209,517,618,319,474,676,011,521,737,664,056,
692,923,559,769,817,671,606,895,348,080,966,273,659,685,125,457,571,105,674,
731,471,527,028,572,074,146,459,384,699,113,636,486,596,297,232,491,988,897,
209,441,864,531,161,929,048,628,869,218,050,199,632,187,506,937,636,044,285,
416,810,550,214,431,698,369,502,312,190,317,185,315,156,616,989,929,647,499,
871,243,861,942,195,223,206,502,066,460,725,267,248,929,646,182,558,773,380,
124,474,092,134,887,891,004,013,319,991,352,116,440,328,338,444,698,495,184,
004,810,852,340,111,454,124,325,147,629,796,664,237,753,438,740,698,228,993,
561,501,488,056,584,949,452,959,984,352,783,016,815,108,517,730,178,718,366,
549,650,772,597,075,918,110,765,304,813,680,942,796,522,014,259,436,993,443,
418,697,780,251,029,375,525,410,274,679,350,749,890,698,865,198,303,002,778,
251,341,962,138,664,868,761,380,804,542,081,840,501,927,639,773,655,316,574,
172,444,472,021,287,952,763,051,325,156,824,337,841,079,709,687,812,121,363,
467,503,451,697,008,870,104,698,241,761,781,536,977,572,861,143,285,759,609,
405,691,289,312,000,860,870,770,912,521,305,864,710,900,070,757,434,526,603,
292,184,800,169,340,226,226,081,295,130,260,587,598,516,340,117,256,558,639,
244,083,271,533,751,790,175,361,222,573,332,048,049,130,880,387,915,070,502,
702,541,206,437,100,753,144,469,233,389,863,136,380,841,904,144,978,917,284,
285,937,016,844,455,615,766,377,044,392,800,941,123,148,373,675,663,730,094,
648,400,408,840,604,419,978,612,919,925,015,861,045,667,102,437,000,820,083,
454,859,060,322,011,301,787,048,981,540,565,253,839,770,768,350,675,514,523,
698,736,272,125,423,348,420,780,941,713,125,734,144,686,055,915,324,294,183,
195,065,247,394,136,453,683,269,940,308,779,146,797,987,403,456,493,834,722,
341,659,773,583,621,039,476,483,477,012,202,189,811,427,032,919,323,500,848,
531,887,455,295,143,170,947,618,699,520,443,000,850,608,202,395,380,260,917,
946,836,723,321,847,760,108,333,011,694,754,077,283,954,224,510,616,049,793,
497,159,281,794,149,420,679,101,045,432,808,175,049,852,815,577,614,879,796,
608,279,181,576,025,195,065,952,573,815,403,535,620,420,329,262,551,533,395,
519,150,058,463,716,787,951,258,490,831,102,991,161,108,867,130,918,762,455,
615,070,311,464,834,400,135,631,463,844,435,616,474,317,117,940,035,243,341,
254,638,219,989,705,573,340,833,892,351,972,725,222,041,478,413,136,605,450,
042,645,178,823,389,400,641,485,966,729,501,188,190,021,540,356,218,125,431,
598,497,557,686,967,437,028,976,883,071,230,182,998,147,349,573,630,396,002,
783,388,898,081,525,452,584,277,926,259,188,808,767,460,347,887,054,947,922,
543,369,214,688,338,680,470,054,251,774,475,927,617,405,307,685,757,530,586,
173,302,043,500,242,441,553,548,808,640,920,716,281,906,413,402,653,435,750,
702,085,066,510,962,081,361,465,768,615,979,626,550,175,857,124,511,140,165,
519,656,637,108,199,960,735,366,211,136,587,896,895,863,114,695,053,515,604,
991,369,108,491,859,160,572,127,985,448,006,576,040,368,210,473,483,493,095,
240,784,841,049,671,576,183,892,803,171,222,918,035,506,902,915,536,502,351,
516,937,247,654,859,101,328,828,426,696,355,955,529,562,797,286,250,001,716,
147,452,891,143,122,357,039,806,520,813,672,719,634,931,330,733,662,185,539,
731,711,237,033,976,961,974,579,475,359,038,472,091,957,711,669,534,019,452,
710,623,894,285,012,520,410,442,312,092,846,024,529,529,792,585,227,201,240,
499,589,954,339,106,024,757,245,770,978,477,714,496,845,972,551,063,818,167,
652,220,999,729,310,288,004,336,369,742,622,456,762,472,179,007,704,578,218,
011,840,548,028,230,903,812,258,866,681,556,179,957,449,529,900,544,951,411,
912,637,296,810,763,068,353,728,599,489,997,251,089,018,194,249,123,182,389,
284,480,085,889,131,880,494,143,996,996,680,111,999,168,506,613,079,601,319,
847,407,405,283,264,780,743,964,181,156,234,038,136,655,484,698,114,936,729,
708,099,294,351,860,261,674,513,106,454,866,617,507,949,994,913,229,351,081,
642,931,554,641,820,923,991,258,801,017,212,663,442,059,630,946,335,626,602,
911,754,181,755,963,512,870,562,217,225,823,794,320,853,629,153,396,427,182,
875,417,499,625,161,263,153,317,088,724,071,787,171,947,158,264,383,192,949,
514,995,897,471,348,164,675,064,873,283,152,384,877,149,924,340,828,771,067,
696,428,180,376,488,665,860,769,921,958,657,924,004,420,573,529,488,624,184,
021,010,352,401,155,883,197,397,013,821,655,031,651,528,592,081,937,001,130,
745,234,815,883,393,389,807,133,318,414,967,015,259,221,810,717,678,529,167,
739,041,062,733,666,628,300,411,456,604,535,722,114,368,422,743,375,248,239,
435,076,837,369,997,095,092,452,151,875,579,766,869,361,334,415,400,926,700,
282,934,932,102,063,863,267,482,469,739,317,955,091,188,151,177,811,635,095,
177,483,975,175,530,730,302,792,472,610,382,840,377,769,196,671,088,303,840,
097,647,266,657,775,489,637,866,391,828,619,424,421,609,616,190,912,716,933,
283,673,702,910,484,106,971,041,956,858,881,587,477,951,934,038,039,207,171,
073,908,355,498,711,371,528,545,981,762,804,373,602,623,835,178,200,870,680,
664,538,023,952,644,085,031,627,839,324,795,978,839,050,409,652,514,036,476,
938,842,808,527,591,838,560,100,162,611,607,326,167,182,401,699,847,330,618,
967,202,483,030,174,527,954,740,399,194,038,688,785,217,503,442,114,150,999,
692,723,766,826,768,763,765,725,785,725,415,325,778,019,643,719,534,602,813,
694,342,719,271,850,681,579,371,571,606,637,848,875,874,746,411,369,350,852,
893,016,969,594,328,058,971,626,457,071,229,468,065,534,517,642,483,345,636,
538,118,144,542,502,274,517,919,741,968,150,823,857,704,541,500,714,574,145,
182,546,132,075,067,583,018,399,337,696,448,130,889,478,623,189,111,261,187,
423,758,508,935,356,611,661,493,381,619,668,570,930,420,376,820,333,069,595,
594,705,530,331,866,095,064,478,265,015,456,627,643,184,067,460,262,650,761,
764,618,853,260,204,688,147,199,554,088,698,434,948,541,971,667,216,069,181,
757,799,322,916,547,872,863,478,477,344,605,768,501,960,406,078,885,219,676,
780,511,802,107,316,932,394,594,959,296,687,800,846,338,917,401,993,156,523,
362,466,638,548,050,865,932,249,298,209,930,925,640,720,596,448,191,251,459,
770,745,600,135,710,285,027,022,255,941,728,113,180,364,021,053,810,532,716,
370,560,258,599,805,787,862,208,940,812,631,938,170,817,242,402,067,728,039,
371,528,336,063,238,069,558,889,437,098,174,984,108,746,765,782,581,230,658,
388,861,871,791,940,072,647,705,943,539,205,916,031,176,312,689,219,054,339,
207,157,962,803,292,585,125,759,474,596,219,163,320,047,834,107,849,537,734,
634,254,082,782,218,879,388,991,806,868,454,749,742,520,700,225,255,399,758,
058,327,469,116,166,150,480,992,023,533,896,131,131,739,816,329,959,492,981,
186,097,404,139,024,435,069,970,095,203,207,052,265,679,630,678,304,374,312,
597,590,186,159,508,479,494,617,729,109,403,414,326,486,968,963,418,180,411,
897,763,115,390,897,112,653,989,479,570,419,428,266,116,751,771,624,537,939,
475,996,877,697,375,805,844,876,546,130,320,307,654,249,929,535,861,825,312,
644,812,967,913,112,259,902,219,083,009,617,620,594,832,083,432,462,289,039,
673,634,877,555,336,285,364,996,364,185,202,107,972,568,911,165,963,430,737,
906,018,667,664,636,283,941,507,693,115,657,037,369,905,965,110,088,553,783,
536,901,925,657,019,448,392,157,092,002,416,150,864,348,790,998,028,829,808,
245,638,083,538,751,736,855,626,489,549,749,518,074,812,953,775,668,563,021,
836,920,969,392,369,472,191,033,732,843,547,268,943,063,507,093,970,414,942,
163,953,048,023,684,398,520,377,182,896,114,181,824,307,479,404,061,352,234,
177,432,232,298,150,238,499,067,016,488,601,150,321,394,814,564,347,434,825,
448,005,762,595,808,524,539,016,326,115,866,546,462,937,079,940,069,327,402,
331,913,244,994,067,200,227,424,581,032,033,638,294,429,594,439,831,009,808,
884,619,370,858,924,731,058,909,284,857,157,278,879,591,360,331,076,824,528,
864,625,190,360,876,651,977,357,803,589,909,242,379,441,172,329,926,105,349,
331,971,216,769,228,404,046,044,069,293,736,064,819,127,321,345,084,482,016,
626,315,610,455,578,449,344,857,641,823,994,280,631,516,559,370,040,214,419,
297,628,037,953,959,920,854,148,449,377,065,140,163,746,401,800,382,793,748,
608,663,054,295,042,809,085,062,916,579,122,611,871,330,601,299,215,613,139,
738,695,642,879,922,299,160,881,129,215,614,735,026,215,516,461,731,701,475,
111,715,621,738,028,780,461,775,058,244,632,381,994,034,003,105,940,269,048,
354,380,918,211,183,603,491,650,016,731,039,087,351,645,372,362,499,066,466,
160,688,268,135,004,652,259,639,839,327,082,292,451,020,204,726,216,218,047,
329,496,766,329,609,245,499,747,055,365,613,590,998,866,114,038,601,225,270,
631,765,289,661,118,739,887,035,487,244,381,484,341,814,028,260,590,547,644,
940,193,375,667,119,896,177,246,843,017,982,984,472,995,378,214,658,299,182,
395,683,193,789,022,121,347,194,558,696,490,412,784,799,705,039,404,711,088,
672,584,102,998,361,779,236,931,561,043,814,858,688,463,877,904,352,890,402,
303,772,950,480,582,506,157,113,997,358,101,510,443,656,785,433,160,581,792,
675,066,029,040,420,512,014,129,117,061,317,382,075,611,715,946,176,334,260,
291,952,906,154,376,529,721,697,858,349,671,480,574,119,901,346,336,800,465,
257,074,176,802,768,045,466,624,577,841,419,520,449,842,941,567,381,961,493,
817,427,065,359,455,850,324,382,344,382,316,519,202,695,988,176,409,256,127,
828,616,406,690,420,702,680,586,519,312,796,255,984,968,096,377,304,463,971,
364,160,935,967,318,856,875,949,307,345,420,294,336,712,521,364,355,987,517,
155,092,885,312,669,287,709,560,193,276,499,763,169,332,186,121,712,917,259,
854,966,758,530,203,602,051,309,316,188,391,380,851,870,711,548,609,199,166,
535,306,627,999,998,027,768,742,599,453,205,052,340,715,055,351,798,781,594,
113,895,202,590,766,779,844,976,259,207,017,213,285,653,571,818,072,437,313,
135,897,643,193,944,159,092,316,277,740,935,478,356,108,329,458,542,761,997,
514,579,408,516,894,520,946,362,456,396,957,762,225,874,456,994,650,027,265,
076,166,272,642,775,930,307,749,787,680,230,184,265,504,013,193,281,679,811,
602,375,860,705,703,565,956,368,219,065,145,128,620,040,994,177,823,706,982,
622,484,373,939,616,217,237,745,423,926,630,035,449,301,156,456,911,446,921,
895,359,500,229,881,886,038,777,191,001,921,696,985,538,508,742,838,169,897,
139,938,118,848,313,109,668,939,164,631,263,433,741,552,628,157,920,602,765,
218,657,843,574,468,847,590,985,687,762,853,939,388,953,586,090,212,911,721,
264,362,897,162,469,347,415,525,453,218,371,128,402,270,148,978,627,172,810,
091,331,787,384,843,886,713,272,871,852,892,558,668,482,262,971,156,168,231,
472,001,602,355,014,341,727,988,880,184,248,182,666,542,334,723,408,930,333,
562,806,708,701,413,559,655,194,322,657,070,319,706,444,574,225,918,560,890,
500,172,599,532,422,472,314,394,402,425,452,171,555,836,855,307,414,690,123,
729,726,078,817,590,172,571,306,386,840,726,343,202,998,235,919,273,959,887,
324,371,027,640,449,071,217,212,236,310,141,382,350,071,476,683,344,510,991,
178,247,257,007,316,814,840,596,964,836,627,344,718,573,122,119,360,958,271,
415,923,038,018,993,582,221,697,864,586,037,073,794,956,723,437,478,074,736,
181,847,203,251,627,912,977,479,176,001,275,107,293,294,248,817,647,291,842,
505,493,258,127,444,104,181,416,783,115,210,171,053,926,159,640,415,463,239,
720,291,494,389,981,252,288,587,745,277,716,055,868,840,071,207,139,878,001,
955,500,670,695,466,205,371,790,604,039,357,512,856,015,271,514,300,980,632,
688,234,589,109,033,648,149,759,445,981,158,438,269,603,322,206,497,917,279,
765,148,802,743,697,906,712,053,996,297,166,383,068,159,529,993,889,959,018,
764,501,484,880,621,688,499,337,108,016,448,277,688,246,395,490,917,642,892,
701,777,837,550,783,948,819,818,106,705,903,005,074,656,283,171,487,149,918,
611,061,689,886,420,955,498,492,405,367,171,338,855,718,316,665,438,604,384,
330,379,417,816,581,368,909,379,339,654,338,518,437,268,955,776,514,212,919,
024,834,887,805,268,176,999,589,399,677,415,566,459,592,172,333,960,634,216,
852,521,110,634,785,471,726,157,198,510,443,828,565,621,246,210,831,631,167,
075,564,406,770,178,313,305,485,048,325,396,741,279,880,364,702,670,664,239,
967,919,113,091,837,481,994,013,938,352,686,902,760,425,257,252,443,441,425,
751,896,523,785,063,470,718,882,281,767,753,168,696,307,909,610,175,854,078,
164,167,734,178,210,682,087,048,696,912,662,311,327,912,085,131,845,050,917,
854,913,907,687,148,077,400,362,635,967,928,062,975,350,716,754,136,668,445,
096,198,057,837,240,552,361,534,851,575,542,111,033,170,784,401,445,214,953,
554,381,286,042,535,908,504,057,373,740,704,355,464,376,679,095,103,081,230,
334,548,479,620,809,112,303,863,958,578,361,999,664,805,180,461,749,228,700,
161,654,076,370,435,261,547,569,502,077,579,773,676,586,808,506,454,358,663,
119,997,574,009,877,416,270,950,322,217,230,713,557,352,551,734,245,016,166,
683,832,673,421,087,517,162,879,586,743,501,538,797,569,455,160,492,988,542,
480,438,066,297,586,176,555,551,985,116,791,805,846,515,142,563,865,339,829,
183,332,144,412,217,129,925,562,958,108,363,422,815,550,547,352,849,144,178,
633,518,870,180,240,631,173,884,538,530,006,860,462,499,940,066,841,578,740,
865,227,767,924,321,257,672,313,108,725,460,849,024,717,238,088,728,326,640,
288,375,267,691,104,488,553,153,353,967,531,899,253,536,328,062,969,008,530,
231,503,546,037,969,503,048,586,473,260,002,299,404,165,178,482,446,097,839,
460,587,475,567,908,650,498,574,718,405,387,992,626,177,187,805,939,960,889,
526,074,840,511,596,121,067,191,949,441,034,994,311,648,127,881,593,350,862,
720,873,103,539,002,683,355,319,894,209,990,349,805,506,712,280,363,289,949,
165,520,229,361,096,892,883,845,723,451,670,569,654,271,882,906,743,707,720,
367,992,662,809,589,762,522,574,577,378,310,693,333,127,196,206,799,169,067,
840,485,336,016,728,348,046,262,499,898,747,397,577,395,008,226,755,564,723,
298,730,500,393,670,456,689,989,538,715,780,319,703,764,213,349,046,241,010,
893,034,660,269,627,165,127,571,431,027,377,263,246,077,629,605,596,825,181,
850,238,005,090,849,012,704,877,823,881,509,785,434,668,414,507,946,777,762,
228,159,172,267,298,447,435,533,329,520,901,262,987,641,028,761,672,294,357,
881,004,201,972,041,141,354,144,958,573,070,162,794,685,713,042,451,623,169,
467,100,665,015,791,350,201,097,068,740,259,935,070,292,905,639,081,966,720,
476,797,422,520,688,088,481,068,305,221,219,281,147,112,642,585,640,797,336,
174,758,344,594,032,200,413,694,797,703,501,693,143,816,364,719,969,509,431,
733,988,963,429,418,163,195,906,776,840,653,910,826,502,022,532,767,923,284,
462,660,670,671,227,201,431,706,846,785,045,380,847,030,794,480,033,111,569,
660,012,696,842,182,443,681,301,657,685,667,766,100,012,581,545,018,556,842,
844,601,436,373,654,375,565,276,741,785,534,752,754,771,760,609,751,642,194,
528,424,885,796,694,724,377,053,574,241,919,655,590,053,718,933,200,415,269,
858,222,649,136,287,722,527,806,583,309,001,825,997,016,112,544,307,309,203,
423,367,886,486,444,005,079,361,587,492,640,924,299,244,479,246,242,852,051,
790,513,763,609,023,526,854,982,890,949,554,029,713,692,033,623,993,943,998,
028,714,359,396,014,070,052,652,538,820,766,461,994,720,401,479,868,121,036,
694,357,620,994,087,243,436,150,686,127,176,491,795,182,654,308,070,637,935,
680,627,461,984,389,128,722,602,175,426,177,446,634,262,093,096,125,386,344,
872,590,652,336,353,909,241,379,051,025,163,533,039,634,200,015,711,880,123,
062,797,634,206,607,036,223,545,745,911,986,476,683,003,844,374,839,748,561,
840,379,154,842,907,992,454,623,407,262,659,443,831,017,010,182,442,393,108,
436,250,359,506,230,718,358,849,169,076,922,355,656,107,584,714,679,034,681,
014,744,614,028,300,613,478,813,397,550,146,798,549,318,147,377,350,084,463,
119,191,936,683,190,812,849,097,604,681,979,816,910,579,745,761,317,335,591,
659,920,030,048,853,377,950,910,483,897,213,810,414,169,106,705,077,493,078,
861,202,340,105,251,068,219,137,803,051,388,900,272,444,378,212,912,238,293,
100,827,104,867,051,437,591,302,759,972,886,223,889,806,547,205,888,210,794,
793,914,062,286,943,767,833,421,063,996,292,981,256,312,253,000,424,283,810,
604,077,461,083,610,179,703,038,413,852,097,432,513,353,604,985,040,104,276,
368,594,492,393,026,397,821,998,417,608,207,131,193,525,475,863,662,736,452,
817,786,952,902,775,613,809,630,840,671,724,864,643,314,328,534,661,703,842,
834,446,800,159,511,093,599,704,374,096,001,347,112,353,472,264,518,771,701,
366,283,388,327,031,734,656,632,274,530,062,309,005,519,884,557,565,452,230,
757,677,336,818,715,773,068,098,092,969,423,195,950,429,964,402,760,048,295,
948,544,519,966,099,829,993,602,843,545,280,171,642,028,702,323,431,761,333,
662,239,414,361,976,514,562,459,748,725,444,830,079,836,534,855,839,027,280,
326,046,443,303,448,058,469,537,601,644,200,436,308,928,065,156,170,108,395,
635,774,605,706,013,336,822,840,661,460,645,725,162,944,180,285,375,296,813,
557,110,918,621,867,740,021,325,271,986,665,748,801,930,031,292,633,723,628,
520,884,386,086,056,647,766,494,089,898,149,662,373,781,088,547,163,176,667,
093,461,313,395,884,470,371,498,000,811,642,062,156,044,556,975,575,593,292,
537,081,457,748,366,840,996,798,670,304,892,608,743,114,670,210,815,211,724,
778,945,031,714,547,215,289,207,493,208,948,035,453,887,119,580,758,186,008,
999,129,705,116,496,780,584,877,743,035,918,813,811,239,444,058,171,761,564,
883,570,909,244,319,990,645,594,579,828,274,250,958,092,519,061,078,786,261,
403,401,611,416,345,664,777,406,596,310,765,539,017,066,404,624,447,428,371,
914,477,363,836,561,276,757,547,485,547,395,389,366,111,479,329,202,291,541,
495,266,136,122,120,797,811,468,754,053,095,085,768,410,525,218,191,885,325,
553,197,539,097,913,899,230,315,173,490,237,903,162,157,951,461,459,895,726,
224,019,624,648,799,520,962,916,049,634,009,490,543,865,849,352,501,049,600,
520,142,334,693,795,698,762,847,069,409,808,721,730,857,113,830,891,841,471,
179,442,051,587,651,725,562,371,228,338,741,019,426,594,648,763,488,323,535,
853,019,978,984,302,164,944,312,248,950,772,107,366,551,817,195,135,695,692,
316,953,105,643,886,124,222,123,617,939,683,075,967,806,742,333,858,748,381,
145,960,220,923,196,130,832,015,356,421,695,865,339,808,049,919,009,925,624,
527,354,976,702,424,965,302,113,062,462,026,050,130,633,100,577,425,111,167,
183,259,087,976,315,786,254,320,746,470,427,518,091,543,019,191,279,241,791,
618,475,666,419,907,826,395,047,243,846,506,103,794,940,583,312,294,637,569,
812,100,367,737,083,352,269,028,132,945,479,392,388,576,365,487,087,357,165,
807,864,772,422,633,730,032,089,840,640,022,326,109,476,144,401,054,270,620,
541,777,167,459,471,164,499,806,892,601,420,994,179,195,112,069,374,617,935,
159,157,523,851,471,640,328,775,053,674,261,675,654,542,430,219,753,192,736,
388,083,753,453,317,141,428,631,714,634,320,833,751,845,006,139,777,242,282,
055,699,656,621,501,299,119,850,314,517,881,098,518,624,788,529,152,940,028,
392,195,288,889,317,574,290,571,259,961,245,606,784,511,878,788,872,416,863,
776,077,122,272,494,038,164,894,322,003,541,148,829,325,833,406,245,543,033,
540,487,347,555,651,142,695,681,587,487,080,044,908,984,287,987,310,404,262,
084,351,791,807,353,053,226,147,148,863,054,158,366,968,127,224,080,416,458,
313,729,353,607,159,989,180,218,731,736,967,934,419,066,044,857,365,506,991,
861,242,681,941,643,594,265,924,391,932,925,241,427,221,256,124,072,675,935,
554,182,087,341,356,483,848,917,776,033,503,991,967,290,848,359,871,030,703,
652,593,252,505,828,747,162,236,334,606,700,458,388,539,613,830,117,970,506,
141,726,557,733,912,848,835,007,367,342,294,767,559,891,498,068,184,738,712,
147,359,849,543,252,738,061,625,306,253,679,006,998,392,137,342,014,087,058,
614,089,508,004,761,043,043,473,926,673,208,765,850,941,080,801,023,264,347,
290,256,515,067,039,175,379,965,662,061,628,785,301,999,600,180,221,795,583,
958,900,288,900,128,212,117,995,498,723,464,703,497,290,482,630,200,379,494,
442,779,902,953,344,398,274,722,072,176,463,882,423,767,454,373,385,768,775,
581,507,060,214,727,775,702,206,992,958,669,627,432,853,892,007,630,965,756,
660,244,213,712,006,371,186,175,048,385,002,783,970,510,780,648,167,185,771,
933,259,068,711,155,916,912,989,134,392,803,464,825,682,630,830,046,591,286,
641,832,732,457,101,295,891,787,578,034,393,048,590,228,078,620,392,186,060,
120,450,711,737,735,999,670,394,326,734,181,659,384,441,273,625,469,976,136,
538,481,131,906,900,780,870,906,514,579,147,364,325,579,405,756,611,811,950,
508,976,726,477,638,539,537,458,540,189,977,167,960,072,536,576,206,567,650,
975,083,543,940,492,215,778,791,553,124,821,467,597,316,595,533,961,498,799,
437,704,168,369,377,238,753,055,257,871,375,728,703,974,326,416,518,223,934,
777,450,649,474,005,720,552,765,870,595,960,744,053,607,002,507,010,174,595,
032,992,769,235,441,537,179,282,436,078,781,798,458,779,789,543,553,439,472,
495,890,669,000,778,720,824,851,486,005,535,802,866,950,704,672,148,846,842,
655,595,180,346,446,118,600,086,215,224,755,505,309,181,810,803,169,797,663,
456,695,282,369,031,621,055,980,751,924,954,906,402,493,095,668,718,513,248,
105,548,008,730,098,562,306,838,829,580,448,760,719,927,568,871,090,518,011,
809,072,623,994,044,520,799,088,904,657,916,669,270,325,717,672,163,235,101,
960,734,015,751,928,049,686,258,214,779,921,080,261,089,088,349,683,584,469,
949,442,902,274,514,393,708,481,913,576,360,718,123,064,754,148,224,483,200,
606,322,945,216,850,346,529,452,282,223,620,874,883,678,491,237,849,523,391,
510,183,627,058,576,209,268,791,933,435,492,330,244,681,430,751,427,423,376,
204,865,777,322,620,787,063,413,477,174,301,150,393,910,416,522,299,252,803,
327,843,942,367,048,179,566,920,430,502,181,816,966,870,764,375,858,951,603,
155,955,986,919,413,091,186,891,381,002,955,005,529,159,471,268,497,932,427,
763,239,384,919,713,072,243,231,162,354,287,262,359,760,870,241,977,295,013,
000,117,789,297,852,373,570,003,632,273,776,727,398,625,041,628,999,487,908,
555,285,984,120,049,961,002,376,889,292,672,383,172,088,931,767,640,468,793,
379,077,558,891,054,413,482,821,956,398,766,817,646,633,003,917,763,282,979,
387,263,893,974,937,326,229,604,379,520,582,747,607,905,083,629,525,002,051,
920,676,864,921,194,121,859,178,230,385,566,978,185,958,450,744,530,931,319,
526,348,679,789,509,169,650,259,472,376,832,533,345,146,593,781,745,312,243,
974,455,871,436,822,628,129,325,442,626,220,268,823,441,466,334,446,304,049,
871,436,771,322,148,674,213,920,516,526,417,323,420,247,304,728,131,399,846,
222,328,101,148,236,455,710,480,953,316,154,644,288,595,579,495,404,755,988,
659,560,354,006,533,715,693,870,694,343,945,591,978,979,832,871,264,695,206,
002,476,239,328,296,461,975,014,889,609,094,346,761,673,514,009,249,862,921,
529,510,309,605,985,607,737,584,258,512,282,703,833,299,508,863,601,690,836,
846,402,677,777,416,582,638,093,529,769,966,178,872,673,556,851,608,431,083,
998,349,941,143,261,388,794,739,459,809,803,601,251,775,468,235,272,384,179,
250,451,841,744,261,009,546,524,989,254,344,012,733,810,824,387,863,835,122,
410,571,874,202,719,203,399,337,195,238,832,511,280,063,843,993,679,911,547,
617,681,627,312,457,426,380,768,489,331,286,691,300,056,025,188,516,317,408,
136,176,052,356,370,849,408,131,992,103,585,027,923,602,929,926,152,321,291,
374,354,974,440,955,124,967,036,727,115,097,280,007,727,429,205,559,645,395,
432,114,814,895,275,419,135,381,047,462,893,120,238,679,144,593,293,388,291,
343,371,034,797,790,617,023,189,571,372,794,770,901,253,177,086,927,942,768,
375,741,086,141,788,629,490,282,800,025,598,866,970,910,477,784,144,392,345,
954,287,649,025,215,227,993,787,398,370,245,043,876,742,893,451,637,259,388,
981,707,628,567,991,961,641,826,534,568,726,630,034,566,293,056,012,430,836,
385,981,373,247,879,366,278,852,904,559,571,883,363,039,228,137,178,016,866,
450,515,814,789,184,684,809,897,323,692,359,092,467,802,963,685,565,301,907,
847,078,142,418,641,044,907,764,926,186,241,576,189,802,624,610,687,313,821,
043,275,301,622,462,950,034,122,972,306,776,864,497,758,968,014,662,148,334,
771,467,662,859,427,975,191,545,459,348,132,303,598,312,534,233,913,425,652,
343,959,915,388,595,780,067,558,080,457,507,317,769,964,566,122,167,806,029,
461,935,872,067,105,734,958,205,163,030,665,558,303,678,727,711,934,707,999,
314,161,686,917,874,435,454,406,569,097,378,266,524,041,610,298,601,334,411,
353,322,092,803,088,083,998,226,203,025,098,415,412,749,439,389,671,857,455,
257,842,007,268,362,644,974,093,652,734,636,803,894,209,573,538,523,082,557,
192,609,345,892,494,010,774,566,585,550,718,552,509,924,909,279,232,221,434,
365,749,631,913,480,141,107,485,663,757,106,496,588,765,433,435,982,252,374,
326,434,142,617,125,545,781,752,359,065,696,414,086,603,019,248,437,892,793,
455,666,778,936,978,979,343,531,932,234,469,205,566,463,752,613,901,881,767,
276,820,683,273,518,480,072,080,472,711,629,793,565,009,796,473,995,380,384,
370,288,434,229,969,263,568,699,097,133,353,627,095,600,725,061,502,468,581,
043,001,102,859,099,908,478,620,585,942,181,027,670,979,332,344,811,716,645,
254,533,058,741,024,169,934,159,283,215,766,427,300,543,037,359,913,856,691,
184,469,988,112,123,517,272,927,610,086,558,290,161,259,671,441,586,549,161,
544,177,972,760,448,363,327,227,198,208,599,277,124,409,651,195,435,405,569,
139,030,170,553,053,329,671,326,842,219,587,708,702,298,236,603,983,825,351,
603,870,083,383,357,499,173,166,673,894,005,247,790,501,830,003,863,603,794,
017,314,361,494,772,658,085,319,852,662,135,151,700,190,310,525,092,458,531,
427,894,751,688,128,259,092,173,930,384,563,640,656,788,012,152,402,469,966,
466,275,626,585,299,606,648,677,057,302,381,634,899,635,169,289,627,006,007,
984,896,248,318,309,782,949,453,611,470,008,274,669,639,088,752,293,090,802,
017,417,732,221,263,677,827,432,967,197,104,590,658,484,837,786,510,003,740,
738,664,473,069,797,745,902,292,124,779,394,267,816,987,044,557,778,693,469,
760,491,631,918,276,504,590,369,884,909,126,476,996,242,650,796,656,134,267,
019,840,280,135,101,168,510,266,984,204,807,541,755,976,311,610,618,160,650,
777,601,942,008,002,307,484,520,577,976,146,111,270,878,496,367,336,268,276,
526,609,132,047,079,485,589,817,625,814,763,557,349,860,905,708,674,550,448,
419,405,068,632,456,147,622,381,891,024,962,804,931,842,227,488,889,436,325,
201,384,571,197,112,896,155,858,278,943,390,835,839,417,497,439,301,271,097,
306,586,864,242,822,906,545,908,416,288,894,685,314,722,040,239,649,971,457,
479,559,364,212,867,802,726,575,832,606,586,436,147,600,196,605,473,601,539,
325,353,645,482,757,136,988,867,625,817,266,381,955,742,269,345,345,110,199,
493,112,072,869,067,171,938,310,010,502,988,888,917,045,741,526,759,457,353,
746,405,390,145,872,794,804,865,412,719,726,690,924,824,952,012,123,636,290,
352,541,583,678,657,929,087,147,105,473,325,691,887,371,239,390,697,610,796,
323,687,206,009,467,736,875,278,525,331,470,844,784,530,581,522,427,632,859,
237,030,260,898,309,700,092,021,494,953,815,919,266,969,864,119,689,154,840,
263,827,801,431,188,797,139,672,196,705,672,948,492,623,981,630,072,564,241,
761,020,810,969,090,119,863,768,916,030,204,565,567,479,705,709,398,768,556,
236,850,868,201,355,345,455,732,536,413,004,077,143,227,321,467,389,672,285,
989,773,789,018,710,349,050,437,172,379,690,494,406,290,825,648,076,226,685,
353,103,257,915,113,431,273,310,946,504,806,899,575,593,820,245,504,295,313,
528,824,466,132,279,907,549,248,708,662,259,300,561,753,610,145,156,537,455,
451,210,730,939,110,342,531,523,681,802,039,165,298,601,791,703,062,876,190,
217,925,534,278,257,148,067,539,040,697,770,159,809,554,710,356,237,982,666,
132,919,794,402,047,429,484,352,652,337,672,202,015,604,977,471,041,627,583,
804,138,055,422,796,127,544,511,554,580,327,758,346,479,367,328,717,153,311,
367,246,192,031,639,846,724,853,983,248,640,204,853,392,884,807,537,361,318,
379,989,874,524,410,587,417,764,082,259,182,408,747,689,621,664,125,980,429,
568,621,419,417,592,512,306,137,283,842,681,227,487,960,244,155,005,936,624,
360,066,229,636,660,224,989,481,671,066,605,581,850,933,359,802,659,586,709,
468,967,142,502,205,958,503,991,123,616,845,628,318,914,781,489,140,438,483,
857,502,525,432,031,588,067,521,703,968,998,186,320,320,272,795,605,217,227,
516,823,156,229,757,644,950,982,611,469,126,037,227,025,723,854,270,100,597,
465,988,213,123,246,903,088,077,260,817,432,460,725,488,158,597,945,858,882,
103,467,227,193,063,487,903,273,467,393,855,072,960,725,505,475,737,882,319,
936,605,119,775,689,985,017,634,324,857,113,519,110,139,639,016,085,805,838,
493,529,414,219,951,276,744,730,348,193,650,941,387,927,880,533,354,544,798,
143,929,480,595,034,405,638,289,329,366,064,974,362,328,380,657,530,663,051,
283,606,436,881,309,193,891,904,258,989,262,033,816,329,427,021,628,355,715,
171,774,164,102,793,772,928,348,890,781,068,038,619,057,973,750,784,486,549,
447,622,614,604,745,129,610,850,462,774,209,929,216,859,098,523,278,731,636,
349,456,397,207,017,513,931,723,950,861,007,586,587,422,173,961,630,064,827,
275,295,694,479,998,952,346,117,582,028,945,629,675,323,003,839,097,055,500,
541,011,368,614,839,955,011,988,955,622,182,474,165,250,126,076,847,207,620,
884,834,004,806,618,779,622,023,387,728,564,179,022,588,815,372,023,076,314,
264,502,918,934,188,253,218,940,516,065,555,557,691,395,926,769,387,299,818,
123,350,144,312,827,507,063,418,779,049,007,540,975,832,046,621,624,924,116,
982,546,588,309,335,795,315,921,116,614,626,482,098,829,550,609,151,664,985,
335,731,802,967,048,510,365,640,990,757,911,404,549,864,851,382,100,697,599,
732,483,025,212,987,971,654,980,781,791,885,105,648,843,909,303,275,024,984,
083,347,984,731,865,039,114,202,152,190,129,887,810,706,103,281,937,669,350,
628,732,718,868,633,921,791,152,740,010,175,402,932,704,885,163,649,001,846,
231,977,896,668,668,593,627,916,170,581,155,371,254,076,682,592,887,174,389,
155,701,015,515,050,795,081,231,450,863,080,803,384,158,236,562,279,439,338,
895,100,784,147,654,616,994,891,095,819,457,522,318,080,536,094,053,036,881,
699,578,481,545,256,195,093,648,752,244,232,050,938,963,889,163,760,136,027,
094,589,074,798,279,311,261,568,754,962,760,622,805,494,005,011,426,382,155,
851,552,719,190,670,696,075,836,136,291,721,527,389,375,333,562,918,780,779,
106,531,560,198,922,782,693,916,195,611,690,331,462,537,399,369,699,576,232,
685,906,862,045,102,971,199,567,696,355,049,569,261,950,516,600,353,066,139,
987,809,714,378,670,105,957,380,340,141,879,212,430,728,687,822,402,934,090,
921,628,188,110,174,922,298,181,776,057,753,841,504,473,241,992,042,272,663,
649,575,713,355,580,620,251,532,153,160,632,802,575,082,854,707,040,621,893,
328,987,983,906,664,643,377,757,860,014,994,143,520,802,194,434,610,982,044,
078,174,296,740,505,001,424,025,137,481,901,747,686,892,505,319,200,562,519,
400,003,009,216,499,233,059,667,504,134,884,841,289,086,239,883,927,795,224,
399,554,473,304,360,937,285,731,439,344,041,743,517,943,359,863,250,058,665,
874,983,705,293,976,243,774,981,626,891,856,713,278,826,733,008,373,649,393,
314,037,715,115,697,480,382,018,528,120,867,753,195,404,217,065,923,303,760,
094,426,174,754,560,498,345,700,087,709,498,237,864,362,216,954,534,511,361,
737,475,638,567,855,022,889,864,590,872,418,493,963,565,962,146,229,300,376,
625,177,460,523,564,282,138,489,908,554,733,662,783,513,655,431,299,441,694,
647,948,142,224,128,741,236,522,020,395,664,684,136,519,912,825,762,717,590,
294,874,209,711,605,076,505,684,062,662,848,442,848,171,601,540,256,997,483,
834,834,919,732,904,449,493,214,213,994,996,981,001,776,194,278,065,402,844,
273,730,035,494,202,607,428,019,016,387,908,585,506,119,732,187,485,515,526,
719,338,723,297,818,349,387,750,807,043,528,804,475,502,775,022,817,117,615,
367,161,088,804,403,270,456,474,916,498,580,733,609,777,772,663,528,757,922,
077,282,004,460,168,265,490,076,498,290,816,393,241,386,093,068,145,090,445,
712,303,683,347,655,862,524,550,020,420,346,430,265,473,119,378,303,464,438,
600,518,747,419,048,281,633,286,954,504,203,346,061,320,806,702,531,778,187,
517,065,938,182,614,828,089,236,676,734,551,196,342,936,421,863,662,816,325,
416,518,461,877,171,505,361,433,156,179,677,815,288,936,637,114,279,916,042,
222,781,241,336,018,010,690,591,179,691,691,542,203,177,914,411,388,482,898,
581,418,756,027,200,943,718,325,169,372,225,000,226,043,901,843,417,231,196,
235,923,527,496,073,930,139,021,696,107,953,224,371,172,151,504,790,674,174,
845,448,853,312,426,641,230,182,481,329,003,309,524,839,716,792,321,635,476,
826,121,076,201,407,662,221,007,983,087,084,457,020,695,555,801,268,215,209,
150,690,376,490,740,484,665,707,627,821,265,279,824,368,118,844,615,203,893,
430,064,714,247,848,151,205,114,885,680,685,927,184,479,309,622,765,681,810,
609,155,745,915,683,075,664,110,679,932,963,825,894,658,484,778,874,889,793,
309,404,692,006,289,930,878,877,543,979,094,456,981,755,823,580,926,107,781,
060,076,239,105,766,425,029,346,398,647,757,309,516,745,217,881,622,428,363,
340,681,310,003,502,610,474,298,903,464,087,016,377,086,647,878,117,075,236,
501,273,333,878,382,657,684,913,529,714,635,771,569,715,664,698,070,610,633,
364,702,811,758,738,991,657,406,927,465,403,285,853,547,179,460,648,987,309,
237,334,235,770,248,298,274,024,916,282,603,563,783,521,275,016,568,217,381,
416,759,958,174,556,949,418,614,309,925,868,705,995,556,593,620,498,527,911,
840,314,186,193,017,257,354,287,036,161,462,042,808,899,989,330,105,167,128,
847,576,922,134,447,278,734,967,339,660,221,152,498,945,885,066,929,546,698,
043,108,139,498,572,171,407,730,612,097,835,676,644,618,909,063,184,243,477,
202,891,707,413,947,600,702,068,212,618,903,470,585,897,599,455,897,701,100,
278,375,270,141,610,326,472,786,032,726,804,789,879,284,289,080,824,533,664,
370,674,336,212,442,348,506,876,143,520,045,059,489,173,751,579,593,144,519,
615,301,171,314,365,918,995,151,440,136,718,162,683,659,015,644,506,375,578,
486,421,684,447,145,171,764,397,940,328,429,405,165,178,557,827,103,991,169,
872,773,901,693,852,261,760,403,047,494,646,962,916,570,260,713,484,542,588,
205,953,372,842,083,408,377,227,574,332,611,092,133,477,617,732,130,906,815,
632,475,570,396,516,740,038,993,007,254,580,330,774,253,898,561,665,730,597,
229,895,341,564,804,464,514,412,075,818,663,167,565,785,902,897,919,697,110,
894,916,017,171,258,178,841,193,778,052,867,858,132,075,196,560,793,889,169,
441,025,015,250,559,693,832,883,783,510,136,607,190,144,227,087,604,076,985,
069,004,392,025,848,638,769,242,998,065,281,743,602,122,157,496,451,097,040,
636,741,127,284,223,452,256,964,819,343,744,812,235,747,087,421,889,690,924,
284,539,343,170,259,744,949,867,099,414,300,104,255,387,890,707,769,127,101,
211,386,825,520,950,905,460,570,943,646,661,600,623,147,383,649,636,145,507,
599,313,243,328,144,285,011,198,302,757,237,433,768,219,944,408,624,934,306,
594,014,031,897,917,319,560,640,369,665,105,936,755,230,720,899,750,338,614,
264,005,784,114,022,705,693,540,878,863,827,503,486,737,982,676,570,819,574,
411,301,598,042,739,003,638,747,889,539,688,143,223,404,051,056,983,495,790,
126,980,856,470,856,904,668,889,135,167,140,222,343,101,596,371,660,166,483,
047,418,343,732,669,701,905,592,261,751,123,255,204,747,366,730,146,799,876,
542,450,218,385,716,417,680,999,171,070,965,630,217,280,426,398,924,506,415,
024,390,570,356,345,038,439,947,541,835,825,840,316,821,876,946,726,158,282,
404,563,553,378,407,725,106,999,549,866,553,675,221,934,880,465,987,448,074,
900,739,951,436,496,495,339,673,516,279,774,870,053,798,194,850,121,039,405,
507,187,507,985,920,477,478,300,952,192,185,915,304,805,725,648,714,643,036,
920,389,486,163,265,827,758,618,930,648,950,861,058,679,675,111,895,307,676,
333,063,900,837,771,035,984,405,103,086,255,379,057,326,013,577,029,271,951,
255,073,293,408,183,505,368,750,182,559,355,447,346,854,778,312,211,538,287,
898,873,671,662,765,071,092,722,577,081,948,361,606,475,809,710,800,788,069,
818,591,003,033,139,519,278,954,407,678,468,590,488,854,041,185,895,792,800,
586,906,246,362,989,777,156,766,905,428,218,100,774,070,194,435,989,157,858,
470,829,311,894,271,843,635,813,752,774,926,759,994,801,258,080,959,168,731,
249,180,645,979,365,329,103,342,840,775,351,026,560,763,807,726,134,621,812,
828,155,456,142,889,324,036,818,560,212,771,943,071,906,493,563,524,724,123,
938,383,381,483,465,617,865,848,092,300,146,102,516,121,205,570,125,606,440,
294,399,918,302,654,338,989,982,285,137,974,689,256,157,733,041,335,162,980,
923,059,959,693,186,915,051,529,595,747,934,663,643,954,505,922,577,813,043,
513,611,252,532,288,814,626,544,627,672,073,670,154,033,999,747,093,591,747,
396,108,426,574,468,094,060,136,249,603,752,327,784,096,160,774,050,453,519,
825,692,047,954,744,120,777,159,021,473,700,160,372,172,468,936,500,659,166,
118,139,612,792,302,720,152,985,907,487,076,015,183,267,473,923,809,797,185,
034,604,718,250,348,329,761,027,544,612,604,297,168,345,472,366,582,275,640,
661,700,526,146,488,881,376,842,744,683,300,045,797,047,474,530,787,931,080,
016,599,508,773,082,256,276,550,069,786,754,981,484,834,958,645,533,341,385,
997,001,755,214,701,475,095,326,621,464,828,001,371,275,010,151,317,612,712,
204,470,441,770,294,216,275,520,449,493,046,326,732,438,163,973,302,418,706,
420,433,881,085,485,582,832,067,616,302,871,886,231,557,115,694,170,256,009,
282,261,736,320,611,084,074,049,006,941,721,898,793,405,200,939,238,069,106,
617,491,613,596,723,244,783,325,035,593,778,786,152,032,735,386,599,197,883,
354,594,546,419,789,905,533,118,372,967,658,287,707,521,680,001,638,310,138,
235,518,048,973,151,330,771,027,204,612,088,172,103,898,324,749,159,297,034,
314,965,018,568,183,861,766,985,523,897,480,995,612,470,175,932,856,971,513,
208,381,350,809,634,156,338,577,903,789,249,384,540,423,948,928,607,755,825,
817,569,197,310,628,465,686,110,197,897,059,265,873,757,662,884,157,353,060,
627,923,893,950,891,529,029,420,210,358,340,531,044,763,802,437,003,914,582,
451,751,448,734,497,688,562,413,098,864,223,644,118,435,074,864,921,512,956,
147,477,822,404,328,430,204,563,176,600,747,114,288,485,128,312,421,009,173,
793,983,157,866,966,750,432,235,170,919,093,639,950,454,738,118,923,238,345,
137,885,995,437,016,046,810,077,966,558,320,840,514,617,917,427,857,907,149,
809,156,060,444,074,908,755,228,876,793,184,573,414,410,520,990,437,074,796,
166,860,720,760,943,475,684,218,877,814,306,668,922,560,746,141,316,676,007,
052,298,742,000,502,738,846,370,447,548,840,590,498,170,609,617,651,204,722,
923,250,429,822,497,401,120,909,555,597,224,602,938,672,797,855,011,403,538,
705,975,257,484,247,103,883,701,387,441,862,547,758,196,361,357,721,845,019,
611,929,277,906,456,111,138,905,855,763,275,081,125,987,734,115,707,259,338,
660,232,408,269,725,062,915,004,081,369,413,446,107,884,156,673,834,602,574,
201,471,653,627,005,373,103,181,351,678,056,137,542,041,744,173,743,417,332,
470,600,245,761,697,424,962,409,867,886,124,939,547,049,381,287,792,712,763,
235,129,747,438,120,181,237,911,878,177,450,087,775,174,222,011,696,591,902,
167,237,277,316,127,671,789,691,578,283,092,339,002,741,117,885,339,926,803,
701,510,123,239,245,529,469,488,847,296,258,925,300,632,112,155,461,216,142,
303,217,276,199,265,626,955,126,535,108,558,413,925,530,244,970,624,305,318,
001,653,129,996,374,677,956,030,455,616,087,367,627,204,209,320,554,614,705,
685,750,051,526,761,093,884,459,862,079,366,040,952,382,444,076,246,802,138,
231,739,350,909,585,099,135,238,248,759,934,124,325,022,184,245,879,971,008,
701,468,463,165,309,822,078,662,964,393,904,575,719,301,627,734,708,893,673,
473,438,664,485,348,914,076,085,856,297,676,899,360,526,876,712,272,604,223,
993,874,111,282,640,035,076,327,187,510,715,067,545,146,514,429,033,147,909,
284,833,680,392,600,986,454,859,924,709,055,520,031,936,058,816,181,550,588,
741,386,157,179,031,334,239,120,638,908,420,369,227,633,045,340,357,849,700,
651,501,159,958,797,114,835,263,582,517,137,224,083,229,860,656,399,532,512,
433,384,005,102,017,409,361,120,690,894,111,089,769,539,143,883,241,098,734,
249,152,199,164,752,107,255,757,406,800,515,083,057,266,256,699,035,261,165,
211,994,142,282,005,721,922,942,888,587,466,171,085,299,962,509,865,869,411,
848,275,086,857,702,448,293,532,024,804,012,049,553,521,695,639,655,596,561,
698,412,802,067,575,456,832,262,534,016,523,072,838,892,540,953,787,362,335,
472,775,986,318,262,039,622,501,063,758,273,144,195,456,589,327,856,887,037,
184,672,821,402,955,670,359,130,119,532,661,637,436,426,655,108,671,171,821,
329,159,522,107,641,196,409,593,821,008,812,170,591,278,910,751,846,992,271,
571,114,049,355,285,873,625,442,230,212,865,729,393,005,509,437,367,842,327,
409,445,310,413,412,149,146,695,957,575,174,870,593,906,188,739,542,929,294,
534,468,713,611,209,303,727,122,291,417,732,813,249,796,976,700,795,949,487,
347,422,541,873,945,954,058,112,614,231,301,433,255,177,664,245,293,151,676,
747,494,207,237,252,914,683,844,462,634,462,407,980,175,987,808,203,254,970,
137,884,894,156,544,483,644,002,178,291,865,800,180,688,595,163,365,554,551,
420,716,616,176,924,315,347,949,977,146,589,441,325,945,544,145,270,115,339,
287,560,105,577,854,428,459,631,372,564,256,473,656,727,925,206,964,478,251,
778,734,745,451,153,853,793,837,142,737,942,811,494,540,261,530,595,194,448,
200,341,304,831,119,641,283,081,824,950,424,968,648,265,778,339,306,772,611,
096,857,569,043,048,048,719,942,862,907,123,347,253,095,166,754,660,891,927,
758,848,672,224,393,429,992,604,055,195,453,957,232,314,933,060,757,609,493,
164,708,319,410,226,023,699,861,558,171,107,903,208,686,205,767,294,363,840,
164,895,777,902,509,246,455,638,202,517,281,864,305,163,631,214,316,903,389,
977,473,216,724,353,939,709,512,153,431,249,573,505,826,120,717,726,230,564,
920,812,837,136,005,665,058,805,284,949,308,090,410,443,973,466,578,609,790,
687,626,760,163,490,282,901,252,116,234,783,281,763,407,040,887,794,121,400,
261,940,596,842,487,753,888,265,491,612,473,692,653,716,597,522,836,580,020,
060,098,053,309,558,274,576,543,871,606,749,013,496,763,154,406,146,280,758,
011,416,562,054,668,847,754,817,420,220,920,156,118,523,003,209,967,491,021,
408,496,443,059,687,426,206,634,973,120,394,828,846,956,424,782,664,307,791,
266,086,358,351,644,907,412,731,399,784,423,722,833,415,150,641,240,076,288,
063,287,337,010,848,122,729,163,313,546,444,098,350,216,887,538,895,844,086,
455,903,702,277,380,060,267,372,718,102,975,634,797,083,057,444,030,716,953,
608,518,364,413,116,568,755,474,900,601,733,455,421,190,138,716,188,743,401,
253,923,148,469,875,787,239,407,141,316,590,655,076,076,415,546,806,181,837,
101,778,599,207,628,581,983,087,786,610,043,775,973,358,669,089,617,118,884,
213,361,064,700,966,184,776,008,722,107,396,508,797,196,337,992,854,027,858,
742,793,537,390,396,951,127,211,274,849,386,138,930,973,121,882,344,668,251,
109,016,345,028,343,314,010,487,627,913,312,236,607,422,868,474,011,913,905,
712,750,354,586,483,460,723,319,979,372,061,254,698,779,287,153,177,198,398,
491,546,158,615,772,790,577,722,201,463,817,197,988,080,092,863,856,452,103,
363,781,039,993,567,596,898,111,514,103,753,605,516,924,150,805,669,585,970,
318,630,043,178,712,742,319,887,259,500,372,886,230,728,961,945,708,655,196,
530,597,550,964,122,726,633,319,534,435,897,169,413,627,537,699,528,514,051,
888,194,969,194,694,660,264,689,828,908,422,368,026,791,228,109,952,304,555,
273,366,584,008,012,612,146,521,830,762,633,036,434,191,844,491,751,488,487,
659,567,015,625,744,037,632,407,026,257,972,303,985,114,324,616,224,360,412,
341,296,658,231,400,707,381,750,972,857,159,980,331,036,720,801,547,879,540,
740,821,587,875,091,509,664,987,411,812,636,287,856,977,561,418,453,932,947,
492,873,714,543,342,315,951,075,213,119,521,601,026,483,030,778,779,768,214,
841,788,876,016,337,196,457,888,016,682,960,387,220,824,646,487,075,632,550,
962,230,550,904,908,621,544,774,817,021,283,411,963,580,335,261,063,137,434,
910,774,354,687,186,677,268,347,244,493,132,105,716,653,852,564,333,016,849,
099,125,091,168,844,769,755,361,918,216,317,115,348,364,615,601,422,808,476,
926,759,942,125,893,509,679,164,439,784,291,685,793,964,887,211,361,526,444,
203,504,608,664,341,299,272,917,588,579,605,985,833,366,486,578,712,419,108,
543,012,720,308,593,448,663,426,574,243,310,765,301,488,887,197,514,239,062,
443,891,299,485,666,687,828,884,697,194,164,241,602,843,418,535,202,262,157,
177,246,150,398,063,228,103,802,769,966,058,680,250,128,884,025,395,069,366,
254,471,995,696,612,458,605,915,209,848,320,418,998,042,784,986,100,472,625,
994,810,094,106,330,467,276,648,352,163,656,890,342,711,491,768,603,224,142,
638,459,765,333,619,871,772,782,829,465,017,574,665,644,201,049,281,823,788,
926,200,849,756,083,490,372,099,730,852,317,118,098,279,087,757,596,244,295,
200,734,023,673,629,540,352,779,111,994,340,238,001,742,773,484,492,150,134,
253,617,801,719,692,211,352,251,639,124,156,124,590,731,313,851,158,011,757,
063,619,676,673,624,213,587,176,409,549,022,121,805,044,354,904,380,670,929,
883,480,048,416,947,212,623,301,076,484,684,522,372,875,477,558,257,465,094,
123,365,155,251,646,149,357,100,699,261,296,520,805,879,684,058,908,802,323,
178,545,086,715,096,091,790,963,163,010,996,257,486,221,173,645,480,320,878,
898,709,569,607,258,053,174,072,234,323,451,984,023,978,007,476,674,185,667,
940,697,390,058,558,705,337,583,806,535,908,232,467,034,374,197,095,676,531,
459,697,974,399,267,070,728,496,378,345,280,443,884,860,357,895,084,259,374,
759,280,069,958,566,366,208,055,905,066,092,092,617,565,636,127,705,927,270,
079,687,383,378,292,438,204,472,395,806,161,896,848,087,606,602,223,554,196,
825,961,114,460,572,976,332,407,163,448,560,427,406,002,587,486,246,151,618,
187,627,457,461,060,763,479,592,697,764,861,766,656,644,855,562,002,882,784,
187,633,725,958,728,260,464,802,312,299,828,117,663,268,697,552,647,625,364,
462,192,383,882,361,461,284,432,024,889,762,635,281,240,060,008,547,554,646,
623,425,498,320,760,405,726,129,597,297,983,451,560,273,836,405,512,754,950,
516,594,863,955,725,741,142,789,776,934,707,049,678,995,551,850,692,042,978,
448,976,760,160,622,939,176,645,392,616,703,957,338,268,840,811,944,215,910,
555,942,142,338,618,539,712,237,293,459,747,073,310,674,797,334,841,645,691,
844,514,957,697,182,093,901,483,123,055,699,390,599,846,800,546,441,374,854,
541,442,164,780,883,711,951,639,854,217,705,178,728,051,310,799,208,854,290,
526,089,728,187,226,346,072,997,033,128,811,616,829,033,389,648,462,874,020,
598,465,302,387,992,698,904,283,823,913,843,318,503,999,901,223,586,767,050,
864,400,786,447,447,002,734,707,263,159,159,712,010,933,342,398,233,067,627,
422,983,367,656,506,643,141,003,918,845,616,707,814,291,142,358,614,865,417,
747,283,739,166,411,411,167,073,589,122,037,391,397,471,634,379,868,780,288,
037,963,840,554,997,537,408,157,524,768,752,326,194,961,564,006,102,294,388,
835,810,879,078,371,804,622,570,313,904,783,076,978,890,003,585,978,548,284,
253,170,187,859,368,781,548,277,273,413,876,533,104,010,324,212,068,100,401,
681,757,033,477,405,150,549,934,333,253,353,086,697,340,721,223,956,359,447,
539,401,281,296,649,355,741,024,989,294,876,197,590,176,621,311,303,849,896,
276,096,533,626,617,625,214,171,640,033,413,662,278,051,564,306,755,607,478,
031,706,330,188,676,631,305,485,677,018,865,065,618,086,764,207,230,641,963,
411,757,273,676,668,324,161,318,406,451,963,999,659,566,298,175,063,689,710,
648,541,747,075,428,984,327,550,297,424,809,658,332,519,880,960,509,851,644,
566,542,961,783,277,207,410,350,876,150,299,558,667,077,382,125,647,362,492,
896,416,670,329,646,821,907,037,945,212,786,190,641,083,895,201,738,711,952,
022,108,728,896,339,158,904,542,067,366,154,545,948,095,681,143,398,149,431,
948,694,121,569,313,580,152,314,529,920,643,424,748,585,006,424,073,875,343,
858,089,617,622,841,403,632,214,236,861,920,235,089,154,338,684,939,948,549,
134,472,352,585,163,431,935,681,879,986,837,379,801,625,694,744,173,747,135,
780,688,043,786,545,256,796,292,350,313,865,912,524,828,401,170,734,311,148,
082,932,205,458,467,189,773,408,801,123,742,374,524,696,410,820,143,084,141,
514,049,847,395,380,254,643,129,143,685,773,323,736,342,107,018,847,335,105,
587,883,861,144,495,232,154,037,763,645,046,833,378,967,646,330,746,474,610,
854,916,375,237,233,485,929,464,479,832,588,093,728,709,493,543,681,576,110,
753,206,576,341,940,562,397,320,167,886,493,110,274,291,994,137,235,337,245,
484,042,823,572,561,903,637,950,775,911,320,157,464,914,067,155,374,858,100,
983,554,720,725,198,264,248,686,867,381,169,032,743,405,108,820,586,763,154,
381,567,821,142,469,741,053,385,618,763,885,225,346,656,482,215,562,708,322,
587,269,725,421,277,003,972,897,933,558,600,143,445,508,026,924,176,157,396,
694,920,536,095,363,879,955,625,843,880,006,405,567,065,491,165,700,206,421,
755,696,324,213,358,389,189,590,031,655,454,745,229,300,921,000,634,873,222,
443,802,508,367,058,505,769,480,651,956,268,751,766,904,667,036,735,050,847,
531,724,760,699,541,176,671,010,055,150,976,415,235,898,741,027,618,038,372,
388,524,117,964,166,675,425,522,718,148,770,265,930,687,829,943,178,867,753,
003,513,582,906,253,704,302,841,301,365,367,715,682,958,384,383,665,989,624,
539,575,534,983,910,574,450,081,260,554,484,025,142,951,271,533,214,336,588,
788,727,788,603,214,873,517,786,736,316,544,182,813,560,529,418,204,692,139,
411,167,140,569,641,876,499,037,425,353,061,734,426,256,490,955,213,099,717,
281,988,099,833,244,561,305,282,959,952,215,588,197,889,362,055,490,852,836,
980,704,651,018,909,082,921,453,314,817,530,680,122,075,416,919,601,356,909,
542,621,903,367,226,508,203,852,258,073,408,780,802,948,805,431,867,325,094,
772,598,380,759,612,367,748,811,543,454,676,155,070,799,500,513,686,061,862,
087,536,709,277,516,500,051,324,933,364,858,484,849,265,580,022,506,241,519,
689,255,787,196,386,418,527,578,949,253,148,571,914,812,646,126,751,335,102,
994,768,545,386,934,169,093,678,830,296,670,254,920,386,010,063,182,737,562,
626,372,819,716,174,029,328,468,513,900,060,658,425,126,652,387,691,004,270,
896,434,472,420,968,483,227,982,163,119,487,642,850,061,427,056,173,564,312,
908,460,872,578,841,607,018,655,988,480,892,154,611,884,922,118,952,524,204,
032,473,945,315,908,797,320,081,084,605,087,218,257,420,898,917,246,391,589,
210,264,346,695,534,998,336,396,725,772,327,787,621,844,984,288,011,089,790,
855,956,573,846,769,556,216,118,211,502,645,640,290,491,382,109,181,467,763,
076,983,230,738,695,507,541,890,148,585,473,058,887,512,710,382,863,956,357,
152,037,757,559,321,275,503,082,398,374,381,343,827,335,162,795,649,515,365,
937,447,982,325,847,850,939,951,986,102,226,790,379,353,467,877,914,710,622,
096,754,089,641,060,549,583,201,976,210,968,208,715,589,746,856,966,097,241,
660,334,613,553,333,401,909,036,291,683,069,850,834,307,562,402,138,558,808,
898,791,270,114,906,936,949,578,796,358,141,794,781,383,420,381,224,172,235,
424,783,305,840,764,475,565,183,026,039,223,013,471,318,423,605,946,772,200,
734,626,089,454,245,599,170,341,654,638,757,222,115,306,981,886,246,818,500,
350,210,802,113,000,189,816,199,934,033,960,153,106,249,939,186,171,004,785,
514,871,493,407,038,847,004,278,207,331,909,668,619,521,921,038,965,856,423,
769,346,702,114,126,791,500,763,508,496,063,086,104,141,979,606,155,734,151,
609,341,870,650,814,857,283,778,981,988,602,361,965,263,035,199,312,722,914,
860,700,669,053,440,394,981,615,409,619,530,510,763,239,187,912,355,330,860,
426,203,417,199,055,829,286,689,241,131,801,365,238,886,919,109,757,532,020,
316,160,870,071,901,172,279,892,110,107,380,275,766,333,400,653,440,408,407,
152,230,105,561,720,708,446,263,827,322,592,558,439,000,417,451,745,393,426,
872,266,902,309,320,058,927,236,459,705,182,416,025,377,233,534,579,588,478,
494,677,662,260,680,927,411,914,727,379,169,382,874,389,802,203,835,334,454,
503,038,753,192,409,219,550,975,933,156,177,349,656,096,582,540,330,516,824,
829,816,212,534,844,660,027,646,304,368,432,840,644,911,730,562,874,191,335,
919,014,728,937,311,233,191,552,284,722,760,776,298,641,745,907,922,497,480,
354,316,119,298,817,053,394,430,263,215,008,000,874,425,736,787,082,054,042,
603,597,167,764,669,943,528,653,898,701,763,018,083,859,807,422,383,296,172,
112,711,471,242,843,580,555,790,806,930,027,717,036,744,747,116,757,115,565,
584,892,158,297,019,319,971,685,607,672,474,842,910,119,423,914,321,472,687,
625,267,215,349,811,680,213,795,365,527,819,315,629,003,086,233,720,924,004,
522,361,525,894,592,569,289,876,401,469,471,066,174,523,533,821,854,901,102,
470,934,008,590,668,553,839,902,579,831,981,117,768,915,899,601,574,629,516,
937,761,069,663,209,468,578,012,506,324,265,880,821,619,181,558,153,100,114,
957,944,222,825,703,640,809,477,707,080,058,142,250,069,890,743,672,736,469,
031,507,151,626,665,703,651,766,778,656,103,698,661,087,701,109,326,000,564,
074,645,342,638,728,058,303,772,269,021,835,519,802,795,913,678,928,866,652,
640,167,860,123,986,212,937,154,195,294,253,608,435,510,970,209,226,952,193,
153,748,109,917,859,517,362,948,995,370,924,142,301,368,373,051,112,137,823,
560,585,250,826,398,395,869,383,250,872,064,884,010,324,985,618,765,354,545,
553,361,016,460,094,625,011,337,646,364,269,992,746,195,725,993,637,642,600,
383,573,875,083,625,514,563,873,659,232,774,148,613,793,461,200,097,071,222,
168,047,968,011,214,402,716,671,643,294,475,546,939,382,484,518,643,735,812,
239,146,593,311,706,122,463,320,682,939,588,293,601,853,431,453,545,423,129,
099,608,295,447,145,391,374,789,367,701,784,409,579,225,626,209,866,615,215,
112,409,612,623,873,246,310,318,961,925,191,275,492,646,455,485,487,162,306,
117,287,623,520,552,882,983,309,275,135,984,793,331,751,611,371,938,381,350,
185,411,814,574,615,992,760,784,893,715,894,042,768,878,668,365,446,035,916,
457,013,460,731,026,158,891,502,157,193,296,790,286,420,397,583,734,737,006,
845,387,099,052,171,808,924,146,622,053,705,957,772,757,886,815,135,463,824,
152,004,524,237,215,857,225,536,998,126,448,552,291,750,633,740,870,802,713,
806,015,260,416,831,368,111,237,207,009,885,903,010,588,891,266,024,985,934,
335,154,927,179,844,134,504,363,533,924,645,230,295,328,989,999,357,863,792,
210,506,919,231,326,075,450,732,700,513,492,416,552,611,852,818,009,750,671,
123,919,276,341,388,578,923,897,404,892,820,381,458,662,066,811,234,245,162,
112,929,118,788,643,666,375,191,026,937,757,448,598,897,352,000,680,513,043,
739,553,917,516,324,360,806,642,037,163,799,970,023,636,297,906,048,951,786,
854,210,421,874,319,023,665,541,914,732,322,385,088,568,888,182,030,153,334,
872,792,574,384,587,480,932,629,021,248,474,177,077,229,586,152,671,688,632,
384,068,064,558,992,644,046,011,707,430,508,098,056,581,450,094,005,530,131,
006,620,607,298,316,663,570,925,704,130,550,559,469,730,818,220,921,622,122,
261,243,428,838,598,930,321,709,506,598,352,967,156,963,455,798,362,875,243,
940,548,266,021,871,594,654,727,458,087,020,443,984,349,021,083,070,560,624,
278,020,927,452,225,834,179,727,676,188,304,534,167,323,995,814,419,991,857,
618,508,081,103,122,564,580,722,473,521,140,655,105,326,552,245,426,021,293,
683,199,599,629,657,088,204,887,248,880,684,795,187,699,731,789,835,294,371,
704,413,735,853,737,306,361,418,996,752,609,681,201,190,693,129,627,892,158,
688,349,128,335,039,240,599,837,099,375,788,472,308,864,102,976,980,673,638,
838,071,014,585,837,456,468,989,910,336,532,571,159,126,313,066,430,314,041,
924,685,681,707,334,337,312,326,321,274,183,198,546,783,973,321,446,523,160,
477,024,212,700,471,445,674,389,398,999,911,771,115,529,848,767,376,153,498,
507,935,172,009,582,188,232,241,362,312,767,087,859,186,268,263,581,915,567,
823,592,794,416,983,961,308,412,409,267,056,452,784,297,412,845,513,712,460,
060,411,806,600,470,004,957,515,215,971,138,851,315,799,405,030,906,860,667,
076,536,491,140,665,366,128,624,559,432,427,378,348,750,000,692,358,363,227,
159,076,894,821,815,504,793,029,029,541,439,200,090,388,282,888,693,838,380,
501,993,754,118,517,570,143,513,530,256,177,032,374,551,435,616,969,723,252,
687,749,505,161,127,647,391,303,754,976,431,136,205,345,317,963,036,176,272,
524,464,853,007,088,476,143,648,218,993,155,831,738,585,676,709,425,925,060,
832,109,373,372,298,948,473,643,126,927,332,418,545,976,786,005,805,817,540,
802,895,081,062,348,901,598,054,658,437,067,148,844,362,848,539,233,780,509,
921,807,152,470,787,464,424,639,299,124,883,178,839,747,872,731,829,370,011,
797,801,950,973,450,063,660,668,553,669,542,192,720,473,470,836,655,070,710,
231,832,276,263,866,815,909,563,281,507,345,745,356,620,748,182,471,300,401,
327,195,459,087,916,102,792,272,726,499,730,787,329,866,538,807,861,575,507,
479,743,856,881,858,456,512,247,712,076,266,268,530,486,631,430,779,155,947,
491,774,590,373,271,844,454,150,527,877,954,070,559,862,024,523,608,165,688,
713,140,875,462,896,158,593,759,333,335,833,605,768,984,601,535,738,514,613,
018,696,569,539,746,524,269,556,136,658,753,589,952,758,776,972,072,038,079,
423,112,311,848,500,123,215,536,980,283,490,200,861,553,770,489,906,572,672,
977,020,125,456,295,685,744,330,793,497,328,598,748,630,849,718,758,184,319,
339,182,777,875,576,004,983,619,083,010,180,664,538,666,172,723,036,702,216,
680,024,077,530,219,993,153,495,328,364,671,335,368,241,320,396,473,064,775,
387,124,171,292,771,300,450,248,729,717,120,866,702,107,869,336,383,084,770,
855,293,717,818,741,278,863,499,933,725,658,779,532,816,968,222,247,775,472,
980,579,065,262,409,238,054,498,544,423,633,979,843,226,845,202,668,955,145,
073,685,006,340,715,854,264,017,329,582,143,924,927,166,349,509,428,079,350,
555,642,749,167,256,859,452,951,292,512,583,919,206,370,071,653,685,566,698,
884,010,160,186,725,232,742,855,031,407,999,710,787,527,922,953,897,315,694,
350,151,316,915,457,776,068,245,043,813,549,913,696,774,111,830,010,973,566,
708,498,111,558,480,123,265,357,815,821,566,352,521,611,870,472,136,596,385,
684,526,501,838,985,121,229,831,168,230,866,215,633,157,073,855,013,876,744,
588,640,149,756,510,928,357,980,886,070,289,839,176,625,857,063,379,290,652,
607,775,275,318,875,360,078,045,410,578,090,738,272,297,676,004,330,895,275,
123,664,300,746,572,557,710,709,075,264,573,514,679,311,668,350,726,848,851,
148,266,035,881,118,059,495,641,808,502,779,245,932,249,401,187,578,582,281,
857,881,649,657,072,117,374,875,545,665,572,530,902,414,321,381,054,612,323,
966,210,939,587,641,408,072,157,643,918,778,861,343,467,186,875,890,413,491,
903,572,715,050,669,162,804,221,577,935,170,222,345,432,535,486,477,734,186,
997,529,519,399,822,596,789,732,544,400,684,103,820,652,736,693,626,225,317,
489,439,169,167,860,385,555,063,816,200,199,649,500,585,923,666,385,151,193,
544,489,163,278,604,083,448,133,168,364,583,559,254,295,381,349,803,396,635,
703,533,943,492,847,452,015,089,261,660,913,156,048,336,999,327,364,518,055,
264,731,103,654,295,279,300,969,025,438,843,261,581,396,452,259,005,591,910,
090,033,251,615,391,143,258,076,868,895,403,257,966,866,177,347,724,231,061,
410,811,826,436,261,084,922,738,339,300,676,663,535,520,685,319,927,861,228,
377,668,757,773,154,608,160,680,515,893,761,947,288,806,052,613,032,336,332,
111,479,438,786,162,361,340,007,252,186,256,094,180,061,802,904,416,844,321,
122,900,596,725,057,018,674,358,635,556,471,489,853,867,575,048,596,852,095,
109,325,960,094,293,879,854,284,031,769,394,655,312,804,475,492,954,668,897,
733,828,621,648,658,859,805,341,166,645,308,955,063,016,800,294,660,123,427,
078,269,727,750,326,930,906,521,482,961,240,486,513,159,548,005,943,729,697,
288,250,166,665,270,679,823,730,783,945,896,701,305,140,961,462,199,411,974,
176,298,776,478,059,855,533,171,327,719,479,999,752,652,265,476,519,664,189,
959,647,274,289,575,466,714,671,050,192,793,388,338,330,317,919,684,603,689,
609,188,986,494,477,891,458,360,528,603,943,480,346,313,991,115,021,819,405,
892,977,947,942,633,333,749,295,506,728,285,905,362,621,618,135,788,741,572,
476,722,536,542,975,433,294,553,751,180,399,764,367,839,896,263,283,492,371,
715,548,171,661,148,021,992,224,669,677,902,273,188,238,012,530,862,615,618,
596,942,705,506,336,933,921,003,226,466,617,144,651,476,103,862,314,487,425,
894,381,150,325,018,933,035,369,583,315,186,080,064,116,542,018,829,941,240,
128,174,773,370,602,579,764,700,663,316,471,886,011,648,155,462,969,036,227,
217,536,301,182,960,798,324,114,072,951,716,332,888,733,275,204,238,199,832,
783,059,808,878,968,265,449,598,879,242,235,676,622,521,882,606,375,244,299,
648,925,650,842,153,836,498,220,896,142,969,332,258,907,042,755,435,547,894,
060,192,911,923,582,865,424,824,885,974,555,970,550,765,613,317,775,518,155,
965,185,561,673,597,353,809,845,900,709,034,766,164,171,823,000,398,114,002,
395,494,295,659,708,078,938,895,148,611,912,500,519,451,994,835,619,304,069,
206,901,475,215,294,288,166,084,709,999,661,985,300,863,818,745,161,562,145,
431,864,324,895,555,028,572,470,226,063,971,557,834,931,871,619,194,513,276,
879,094,037,039,775,005,525,333,275,093,373,033,274,629,047,619,994,920,962,
260,058,822,977,030,126,633,338,934,966,388,553,851,081,104,286,501,645,249,
497,172,018,669,715,315,208,774,754,131,925,457,702,369,493,225,572,180,937,
439,431,546,124,551,960,702,955,075,840,661,930,350,491,984,809,344,770,795,
949,524,356,620,560,108,798,719,920,680,333,297,845,630,207,497,909,058,084,
502,024,174,264,449,576,996,933,393,638,338,600,300,964,432,330,371,284,184,
756,384,504,304,363,873,746,028,131,385,584,027,623,180,683,569,153,914,455,
892,074,168,902,590,516,648,302,016,712,915,115,819,916,176,185,326,046,633,
577,473,290,045,672,545,915,417,223,438,671,223,198,008,839,573,812,918,054,
653,673,542,462,181,445,704,513,642,427,565,565,395,848,146,825,870,502,971,
605,721,168,968,755,284,002,952,361,757,258,726,097,731,234,071,488,131,631,
764,707,429,470,837,845,044,316,531,940,418,865,579,497,672,911,668,701,268,
312,344,553,871,517,778,029,463,899,263,574,416,428,295,109,952,630,933,904,
071,505,175,948,019,145,830,269,251,614,645,565,642,102,208,906,023,013,177,
096,139,609,079,233,219,625,551,993,977,940,596,769,500,054,869,952,223,527,
102,342,246,687,214,856,035,668,430,614,900,713,008,691,165,619,038,562,870,
453,145,602,073,061,239,958,041,409,107,919,089,820,020,703,890,436,467,423,
343,457,071,928,379,066,440,160,968,604,937,905,391,908,197,489,538,799,830,
304,366,419,781,970,462,268,551,773,569,748,161,208,457,517,916,850,077,898,
445,840,769,582,061,707,606,379,318,805,837,858,029,176,379,667,778,852,997,
884,000,374,646,193,026,362,854,029,108,256,850,140,924,917,106,919,489,624,
817,690,799,903,035,334,404,659,729,677,818,094,619,422,800,319,066,094,609,
836,953,937,911,304,512,985,566,552,906,865,673,458,865,733,989,040,559,757,
832,095,730,975,291,160,014,311,840,575,194,907,019,587,107,139,401,973,032,
972,185,920,351,513,107,127,108,815,967,346,808,058,211,479,828,656,603,122,
631,222,681,238,319,355,152,795,939,440,377,455,832,529,229,638,022,999,047,
525,910,426,403,508,779,400,283,172,418,105,249,302,991,717,700,389,230,099,
648,162,538,912,287,095,104,086,409,930,468,825,082,272,348,559,403,734,065,
364,907,401,635,587,318,866,945,700,194,514,703,625,715,746,556,626,933,945,
619,812,097,612,678,974,294,508,286,821,442,742,147,744,545,531,847,168,485,
841,425,407,964,897,024,734,199,466,061,301,934,098,898,469,359,625,782,631,
349,567,206,544,986,950,339,235,068,050,465,240,315,823,922,681,409,740,347,
473,523,493,380,221,877,615,291,101,165,986,795,385,339,941,341,563,697,538,
790,154,694,739,396,902,648,206,583,524,198,386,719,855,069,013,347,469,318,
699,526,067,539,957,016,224,599,619,694,313,427,466,658,182,281,795,476,943,
432,114,157,707,440,371,680,958,159,003,215,155,721,801,228,493,434,037,162,
064,733,677,525,481,591,444,358,078,657,735,889,427,625,539,580,125,169,344,
159,572,605,360,079,545,135,790,599,977,258,993,786,207,411,173,567,741,329,
122,670,411,067,367,361,442,531,535,276,475,641,420,191,230,930,670,225,907,
855,003,567,891,453,053,281,589,871,592,636,108,546,728,734,010,097,585,613,
457,512,339,222,254,792,943,415,761,273,993,950,646,186,081,165,020,434,357,
843,129,055,097,777,471,550,459,559,801,931,627,940,597,277,707,843,287,521,
822,196,914,319,809,800,389,690,245,075,553,910,660,643,902,017,624,946,379,
009,551,452,680,545,208,502,914,070,195,985,570,550,423,324,343,539,440,511,
498,039,540,378,526,219,548,629,549,714,414,137,561,609,579,816,545,044,679,
661,241,841,155,481,592,541,914,973,776,756,558,427,126,354,206,007,236,511,
811,875,250,944,305,930,317,051,412,744,628,864,363,102,491,258,516,224,627,
869,360,346,455,127,417,992,212,034,785,662,107,011,086,832,825,534,633,137,
257,497,970,425,924,733,709,751,122,150,812,838,724,932,144,946,146,983,846,
809,232,193,612,978,012,840,668,492,547,792,577,326,710,736,527,888,200,488,
088,145,255,907,992,864,401,355,236,911,511,159,311,534,394,657,556,826,323,
376,360,249,942,998,162,316,083,825,240,225,500,239,375,404,032,346,235,379,
116,013,874,412,131,319,426,261,851,758,916,440,610,950,034,792,555,902,375,
377,783,050,290,136,635,065,148,578,399,234,183,876,871,147,670,559,450,725,
647,152,231,282,599,382,214,514,690,800,085,221,202,069,154,189,678,973,355,
773,950,468,411,424,262,210,218,202,225,229,267,324,053,446,698,901,889,650,
835,315,553,156,200,455,258,665,159,150,055,267,069,748,251,727,371,436,287,
398,698,422,964,239,673,694,678,960,157,524,388,538,133,046,547,900,738,896,
583,207,081,956,966,255,134,390,953,280,050,591,246,764,887,608,060,623,209,
739,596,431,103,484,759,437,315,642,989,813,045,421,745,134,781,721,658,189,
097,108,962,124,897,108,248,893,885,086,764,547,943,236,442,600,890,442,108,
927,594,608,738,084,469,446,571,672,841,944,577,551,725,400,740,499,788,072,
534,800,680,493,334,327,488,558,720,563,906,786,664,406,243,436,028,518,426,
869,639,805,705,859,020,040,523,883,332,522,875,551,551,238,287,348,798,826,
288,113,919,722,968,969,384,282,950,763,397,319,053,331,365,823,055,898,830,
780,083,377,971,297,364,745,597,527,160,568,946,148,603,994,386,723,670,051,
757,364,561,409,273,264,674,241,856,988,529,845,663,938,314,591,754,017,989,
174,364,178,689,914,781,680,045,897,615,926,100,144,345,387,851,136,215,684,
261,854,350,936,297,488,582,982,743,652,155,441,712,561,728,172,003,662,858,
618,271,016,140,570,124,575,615,573,737,907,112,914,131,973,530,366,739,347,
640,765,782,287,704,690,288,911,248,645,069,135,931,725,935,225,844,650,681,
669,269,060,855,105,168,053,333,299,594,735,510,762,923,439,004,228,862,692,
438,555,948,645,089,487,127,077,552,624,834,343,036,837,058,243,580,816,164,
838,272,165,738,295,361,675,173,582,915,928,520,276,853,007,787,834,340,794,
090,386,518,912,717,912,167,279,074,599,792,654,265,786,203,603,456,733,601,
460,281,235,432,062,184,883,924,250,850,852,252,041,540,302,483,092,114,589,
329,179,597,938,570,214,028,440,141,784,989,733,511,293,015,290,643,668,812,
779,361,851,370,240,942,459,047,526,032,689,857,398,512,696,563,450,021,401,
653,410,980,449,026,802,344,105,871,440,804,364,806,968,579,729,136,057,112,
437,680,177,869,260,780,998,067,438,620,314,041,973,003,894,557,297,272,681,
827,153,427,951,186,977,028,306,120,372,744,206,885,110,886,262,952,801,759,
111,883,857,968,633,478,695,405,542,271,631,357,335,343,036,221,495,580,485,
562,186,815,037,664,003,394,465,096,381,779,922,037,746,301,478,951,502,970,
301,739,323,011,662,725,782,196,154,465,588,548,678,876,295,742,493,908,868,
160,912,876,476,980,340,134,481,050,755,822,267,497,888,559,813,665,891,016,
405,080,942,065,896,132,485,862,241,500,983,113,171,740,066,803,912,807,641,
482,497,508,025,918,590,419,715,831,089,552,633,253,610,777,001,775,287,661,
027,848,844,119,098,106,970,434,945,979,122,292,251,925,758,596,788,788,314,
022,568,235,260,912,573,562,396,035,583,181,822,874,410,655,155,750,089,073,
597,042,654,237,775,787,087,087,186,279,244,292,206,109,462,819,992,614,698,
081,584,665,239,148,310,537,972,015,847,626,166,559,363,519,316,475,446,287,
551,470,246,404,756,389,522,514,348,106,572,400,875,903,546,098,536,732,868,
004,603,573,292,287,272,065,013,988,303,135,297,072,450,074,700,665,262,641,
336,066,341,803,155,030,598,399,787,663,274,025,689,182,437,834,605,039,864,
715,644,782,261,565,329,222,515,877,557,301,825,155,865,981,201,172,357,051,
775,727,422,335,706,774,438,529,714,935,997,805,682,189,321,219,065,932,499,
641,512,970,377,712,690,125,423,508,082,474,929,945,564,066,628,116,123,664,
595,991,786,792,222,165,009,295,605,020,969,694,203,619,902,313,669,457,785,
089,824,506,971,966,097,102,518,762,102,124,515,626,906,594,083,723,155,877,
313,320,107,295,916,346,488,067,679,215,142,636,183,942,019,796,211,780,381,
104,165,990,712,238,893,991,940,757,617,343,933,975,115,223,239,731,157,947,
874,515,887,400,544,740,736,394,515,869,523,367,239,361,767,652,903,170,915,
288,188,339,945,399,688,279,804,271,532,770,530,227,319,403,162,580,574,528,
825,686,107,005,669,778,770,195,288,085,136,787,300,659,573,170,224,665,128,
959,481,891,004,425,532,936,807,665,720,351,785,589,919,220,650,724,675,035,
468,539,827,396,365,468,951,964,172,720,938,480,561,156,920,740,510,421,080,
227,062,611,332,836,045,347,905,722,663,716,236,691,066,716,848,061,208,300,
799,268,945,105,583,424,282,803,267,553,640,400,163,943,465,139,949,881,872,
536,690,475,467,771,730,603,406,460,870,837,487,835,256,031,073,319,740,250,
712,042,027,540,665,797,161,329,849,709,598,369,937,107,384,968,454,416,837,
383,390,182,832,610,656,245,995,711,947,046,110,919,034,496,998,656,274,591,
167,267,102,087,245,013,419,783,629,512,613,039,236,590,084,146,460,861,254,
947,136,091,360,898,483,655,123,579,666,912,527,344,369,623,732,965,285,495,
481,577,634,942,362,072,866,296,135,305,954,448,899,409,698,555,769,958,821,
424,360,825,455,532,205,784,731,164,457,001,421,635,397,821,575,522,262,359,
527,722,257,285,680,797,006,080,404,260,139,244,475,685,204,509,697,866,892,
338,496,262,487,041,063,619,426,505,346,964,942,851,332,076,811,281,143,695,
019,673,612,229,066,038,852,925,090,646,657,477,505,992,306,760,203,744,093,
683,385,567,462,961,161,293,985,855,021,109,278,427,652,064,527,534,870,145,
954,157,864,658,348,473,482,450,637,284,408,752,417,965,950,568,793,044,275,
352,224,888,013,300,768,064,466,352,062,546,730,061,747,965,410,072,642,046,
973,304,097,849,003,600,716,522,382,399,591,921,316,409,490,842,550,610,845,
172,016,249,879,333,091,322,688,233,841,588,270,685,448,330,320,497,129,522,
396,756,484,486,756,251,000,966,491,591,249,549,119,722,316,850,233,362,611,
612,719,755,476,186,122,469,280,715,834,235,048,088,429,998,684,357,463,280,
513,872,206,932,662,982,193,313,052,201,936,838,283,095,521,280,000,396,718,
963,680,392,038,387,499,387,713,472,615,939,610,820,093,269,009,407,957,881,
767,321,609,065,534,968,473,725,051,154,994,894,129,170,656,539,144,320,912,
699,144,965,550,148,099,694,552,148,624,886,527,195,047,922,359,260,382,182,
066,777,431,082,143,753,276,704,469,968,744,270,793,321,363,766,379,323,363,
453,246,307,075,689,221,603,668,585,848,389,577,665,430,524,328,072,204,747,
279,630,565,914,161,377,248,538,444,643,897,498,554,881,565,345,365,896,656,
884,559,222,693,645,175,572,770,924,476,328,145,493,596,938,514,994,998,299,
895,835,328,019,619,428,564,561,452,668,350,139,870,828,373,118,782,709,594,
851,282,385,784,533,127,075,712,764,679,123,475,827,069,831,916,186,465,121,
326,976,091,584,752,862,619,153,373,360,161,554,454,589,450,780,923,918,793,
054,575,715,424,778,931,723,505,101,985,768,034,576,297,397,044,192,297,191,
589,552,209,214,004,971,040,900,468,476,032,801,771,310,206,923,576,097,101,
255,759,993,246,071,062,480,176,348,649,909,894,406,828,097,324,538,275,014,
233,857,886,799,735,399,818,912,089,061,622,783,503,259,791,447,399,891,691,
632,251,995,081,823,070,513,832,780,932,884,631,090,064,648,226,835,423,454,
547,091,936,767,236,806,696,195,246,424,919,853,991,209,617,876,453,138,074,
877,667,041,628,203,874,161,003,150,470,100,044,810,646,304,257,239,346,891,
385,427,951,358,777,857,771,834,735,535,504,078,110,049,486,276,577,624,566,
198,913,397,060,338,287,454,477,386,395,095,185,641,765,142,787,986,178,920,
584,661,884,954,973,210,838,625,669,537,672,907,993,860,398,152,552,348,036,
058,345,556,141,666,810,804,241,280,162,238,308,117,669,007,138,242,836,301,
553,726,260,441,321,469,914,366,198,142,958,040,771,469,523,651,536,345,421,
412,188,082,957,067,756,848,805,570,503,378,707,417,451,224,460,836,057,526,
017,224,782,476,737,719,326,389,635,642,647,268,628,441,694,222,400,793,589,
208,724,324,604,602,182,772,863,476,064,000,076,790,475,041,932,648,667,748,
232,766,311,270,417,135,040,663,330,239,350,556,355,961,809,177,398,546,978,
535,484,834,978,629,505,047,193,623,334,389,611,158,800,690,014,094,063,600,
010,892,194,131,938,501,381,109,173,241,176,443,739,052,152,018,630,979,674,
210,760,813,897,751,498,547,579,460,945,788,426,971,902,570,723,954,193,247,
901,292,524,807,098,147,531,299,884,047,160,725,074,110,888,829,256,494,573,
585,846,214,289,581,451,529,726,516,286,715,635,541,253,489,555,583,744,321,
630,459,492,790,846,513,400,012,535,119,916,548,935,737,873,632,297,096,625,
450,710,664,698,060,427,127,353,071,062,484,676,960,457,608,013,872,163,695,
219,450,911,382,577,897,601,560,035,373,781,263,261,323,027,962,118,467,263,
151,766,977,124,168,200,514,425,576,877,926,645,357,446,175,712,533,221,937,
308,713,560,656,325,227,454,999,907,930,587,865,531,814,903,608,538,093,283,
561,432,113,294,281,836,416,640,762,165,708,945,334,496,787,242,296,144,603,
221,192,910,120,367,455,341,433,683,576,426,110,404,433,109,127,904,356,395,
870,506,332,851,304,057,233,503,908,736,065,806,144,729,797,363,412,401,436,
239,805,267,796,040,315,637,010,145,488,312,314,350,594,782,035,529,246,999,
558,204,870,608,545,698,060,619,177,477,286,952,818,074,073,517,573,524,568,
190,877,840,333,679,156,427,397,561,684,246,685,896,550,556,796,704,948,253,
457,288,645,031,099,379,227,287,112,814,834,284,543,220,310,931,648,312,070,
387,683,414,268,857,135,503,765,519,003,579,671,743,801,311,878,129,885,029,
857,783,623,430,626,186,438,620,874,155,096,355,028,844,769,300,940,122,726,
257,422,672,958,592,285,329,096,363,555,054,057,429,873,688,397,760,834,968,
412,737,359,359,068,984,784,556,447,477,999,532,654,649,917,841,263,558,526,
366,141,136,717,552,060,283,806,419,401,185,534,776,538,627,151,072,469,531,
434,778,097,600,972,465,745,347,595,629,433,430,271,511,624,436,161,390,492,
169,877,864,252,464,411,380,453,141,868,623,645,623,346,180,955,909,035,331,
941,294,916,035,597,487,244,300,269,901,767,530,943,642,076,267,553,295,782,
216,240,556,628,226,518,160,842,194,217,136,966,882,875,564,326,893,535,129,
191,106,644,257,159,870,215,465,698,125,289,666,543,804,198,711,636,993,889,
310,295,297,199,281,135,962,352,533,103,663,165,174,818,483,144,383,649,245,
293,135,841,880,102,970,095,872,861,691,055,518,980,291,984,999,295,389,788,
347,613,062,622,723,303,442,458,186,086,580,902,245,406,193,276,450,867,412,
042,101,741,621,107,971,174,513,287,542,205,312,188,654,359,086,261,985,886,
417,150,614,305,385,562,212,910,266,053,521,627,677,535,740,628,188,411,685,
358,466,622,135,816,455,085,855,602,268,425,130,703,095,095,626,396,932,459,
580,081,519,742,915,044,858,644,223,688,631,095,805,857,696,146,163,170,439,
699,785,600,925,092,493,844,853,704,732,745,414,281,975,072,140,306,025,793,
775,473,807,525,966,688,797,764,950,602,848,722,559,400,418,658,144,556,710,
723,534,000,013,028,932,234,604,046,802,777,009,532,805,958,355,084,614,499,
791,328,077,508,303,172,338,717,367,302,622,934,681,957,817,252,552,462,427,
168,074,660,726,453,479,904,449,116,997,757,169,154,014,081,591,396,556,639,
454,604,071,439,881,088,979,517,912,795,810,458,009,671,348,227,869,930,552,
006,812,370,884,862,767,160,734,637,813,941,076,053,492,888,547,499,974,183,
719,509,630,013,914,254,068,671,983,668,483,313,454,647,807,983,593,935,025,
660,826,046,179,809,134,779,112,100,314,093,601,455,389,257,168,804,142,741,
559,391,831,575,877,973,879,771,840,413,391,515,082,774,633,472,340,641,080,
531,968,271,924,505,962,350,432,676,933,171,761,040,940,026,669,772,004,680,
964,986,699,100,564,758,190,193,610,956,906,076,372,142,687,120,447,998,618,
909,800,039,150,515,822,926,525,274,089,311,983,687,756,482,431,006,776,564,
657,462,435,180,433,340,441,060,029,142,987,795,675,119,952,354,422,504,135,
302,982,240,650,326,306,256,285,436,592,344,281,605,783,508,259,225,191,614,
352,771,260,184,106,305,950,800,744,705,590,845,809,324,392,035,025,336,923,
261,790,681,263,615,213,090,275,274,738,419,652,625,378,707,759,473,508,102,
093,742,639,340,212,877,445,909,907,095,555,510,436,165,558,911,118,416,361,
938,957,416,146,141,046,225,668,824,027,796,593,755,168,001,198,747,724,804,
904,945,670,425,435,828,939,308,745,291,071,417,172,486,788,829,310,501,572,
975,110,370,306,302,678,389,065,152,402,554,259,710,509,207,737,347,198,567,
935,313,991,958,550,186,480,469,559,832,155,341,774,738,425,732,465,328,975,
002,562,753,164,416,463,276,689,705,906,411,600,830,133,516,960,314,773,667,
827,304,661,499,565,703,259,558,548,647,877,509,133,167,937,915,097,905,639,
747,876,921,396,497,304,079,223,071,869,484,279,357,765,255,093,552,399,310,
581,941,992,571,129,441,939,352,236,936,120,753,075,255,078,159,809,924,381,
367,516,775,776,011,039,438,513,866,227,085,113,500,203,991,727,298,373,387,
151,065,413,751,207,283,497,400,977,095,015,023,784,296,974,510,218,286,868,
419,242,299,718,411,175,963,138,553,139,770,897,122,799,285,801,620,666,549,
194,327,972,793,581,142,127,910,764,143,432,372,254,055,041,487,870,628,067,
725,936,760,119,565,716,675,288,287,773,315,441,037,119,572,720,859,276,791,
179,421,852,475,531,262,272,846,547,509,107,017,630,189,329,656,516,054,967,
511,975,483,801,705,701,194,498,174,058,062,556,171,099,433,424,102,315,067,
211,867,270,690,482,771,880,682,039,284,323,920,724,788,456,135,105,092,830,
210,168,001,080,906,114,230,145,016,368,797,891,586,812,467,221,136,991,470,
405,569,617,164,846,404,831,199,557,985,288,778,949,465,029,030,563,503,011,
563,578,847,904,639,106,810,100,799,165,610,417,766,834,270,565,888,746,218,
938,036,889,273,296,009,700,636,997,305,171,446,977,900,415,963,697,893,063,
604,507,527,447,330,565,786,673,778,953,276,680,191,969,598,300,752,774,054,
416,443,544,310,410,619,217,533,709,008,690,098,934,739,062,619,447,073,741,
786,324,212,483,109,381,540,665,220,846,546,408,236,519,726,341,747,177,264,
833,331,095,053,471,120,244,083,670,057,725,836,302,527,487,565,309,006,372,
202,630,614,195,812,392,291,783,137,545,903,504,645,385,082,689,003,419,836,
255,232,249,578,813,807,820,257,662,616,755,113,341,759,143,009,144,542,058,
204,360,934,032,913,116,770,088,490,146,211,331,379,433,568,681,523,246,423,
094,121,107,535,731,872,406,165,976,602,796,284,387,058,529,469,121,354,897,
221,205,564,573,356,808,905,050,737,814,385,700,583,135,530,308,072,863,759,
156,361,924,849,692,379,052,613,151,955,794,430,917,137,556,643,118,750,890,
871,063,454,716,239,431,434,298,573,283,574,398,695,606,240,679,350,736,478,
200,268,804,901,613,645,077,810,059,822,179,512,739,856,475,442,180,876,458,
624,691,954,333,964,268,434,159,777,824,208,308,636,457,474,783,509,279,038,
891,746,074,052,365,434,265,347,604,788,270,086,742,615,779,528,780,779,629,
949,129,736,647,979,766,245,127,605,808,396,612,584,992,073,282,475,675,879,
137,771,215,153,434,495,844,958,506,568,945,962,760,659,944,903,116,267,520,
286,405,468,896,836,607,636,493,386,160,133,615,459,634,347,296,801,603,121,
818,010,277,097,958,526,618,955,011,974,246,003,811,135,657,865,088,636,281,
772,236,438,207,670,348,343,143,469,628,338,889,447,163,456,119,246,391,308,
787,870,948,184,014,899,731,111,257,842,966,828,309,014,036,593,460,654,151,
049,974,442,729,685,935,402,876,498,188,471,656,614,152,267,391,359,636,541,
828,506,670,484,168,777,427,902,397,992,274,199,249,674,720,742,715,004,378,
922,524,890,969,502,386,443,929,914,186,181,421,606,207,611,120,639,933,791,
889,855,193,850,603,694,151,586,953,842,545,517,746,083,104,177,318,245,478,
298,411,031,769,265,219,414,889,469,690,805,863,365,890,891,642,079,684,591,
541,718,220,144,606,257,934,879,549,354,294,737,490,089,373,473,751,116,102,
053,137,284,771,129,950,634,826,054,915,516,084,682,073,070,790,990,733,579,
913,623,402,405,022,858,757,308,391,411,969,709,495,445,095,309,960,071,795,
799,941,394,290,279,759,192,180,147,018,076,201,959,501,530,290,999,432,320,
570,994,414,003,796,892,014,555,825,974,812,621,585,676,769,683,766,594,734,
022,950,746,590,423,269,085,011,900,571,906,837,143,428,898,575,082,456,114,
324,213,556,101,815,566,860,069,745,316,475,084,702,553,856,685,828,390,211,
939,491,235,513,684,164,994,728,632,212,678,878,716,125,610,927,822,945,065,
320,332,949,380,760,056,668,269,808,652,449,324,829,560,527,979,749,804,308,
852,165,307,909,841,964,780,876,172,605,285,875,095,216,608,702,433,995,858,
717,354,486,472,586,277,112,772,735,637,621,493,330,113,690,151,102,995,706,
050,532,167,408,126,476,046,315,303,815,834,535,298,570,114,359,695,615,869,
149,725,299,225,420,002,310,877,515,024,899,130,984,209,956,599,020,589,866,
855,965,174,848,043,471,871,076,732,169,626,489,591,419,038,694,449,506,218,
855,430,220,964,091,416,326,492,936,284,460,906,653,201,512,775,306,756,557,
403,391,621,043,838,789,354,331,603,384,109,145,097,569,276,514,315,704,324,
217,906,666,531,729,531,210,171,890,272,219,751,065,725,673,499,029,615,027,
384,212,405,204,682,676,419,737,555,524,232,391,374,317,688,262,276,634,917,
491,093,260,676,889,404,591,301,437,306,539,861,307,175,964,737,173,499,526,
796,912,942,357,303,534,827,185,730,589,664,240,766,152,154,359,273,844,618,
408,906,270,136,502,530,635,040,571,811,442,205,287,394,235,523,631,867,097,
439,056,711,099,655,700,270,742,174,853,964,418,524,281,691,692,371,094,981,
372,083,925,890,899,177,366,485,798,780,771,963,006,079,483,443,282,336,583,
818,716,322,118,691,309,153,130,123,678,793,367,595,788,547,106,484,728,833,
136,291,334,605,506,958,073,059,621,199,428,905,496,545,743,162,611,921,660,
771,398,833,876,351,011,728,365,235,677,991,732,945,354,119,419,673,694,108,
219,927,213,799,694,696,301,117,012,052,869,601,372,088,402,856,453,263,049,
810,941,565,543,348,410,161,262,003,051,879,787,159,160,590,257,928,139,829,
906,379,695,327,315,429,366,897,235,862,938,526,863,638,725,173,105,065,369,
144,067,488,533,093,702,919,903,372,156,715,701,025,272,270,773,460,406,278,
937,456,292,399,388,339,839,137,678,405,486,843,231,787,068,478,263,356,324,
324,742,470,958,033,432,942,798,765,589,705,042,606,967,417,060,684,691,950,
557,698,051,252,184,494,024,480,135,727,021,176,383,460,833,927,502,988,242,
062,611,846,112,350,890,779,330,729,438,200,312,425,106,946,202,507,257,062,
993,877,324,402,947,352,697,955,570,955,152,554,453,817,569,219,579,199,047,
153,914,158,907,111,562,675,557,623,216,174,986,797,484,500,014,590,801,705,
703,803,890,933,192,644,946,729,574,266,164,185,760,428,929,775,640,923,747,
227,415,651,659,815,727,342,639,734,180,303,216,686,478,035,438,877,372,305,
630,000,472,194,372,004,906,129,294,525,619,837,158,327,372,770,674,185,477,
270,434,719,318,765,664,489,044,961,684,295,848,145,046,657,104,080,585,281,
921,061,975,959,224,174,153,729,371,242,036,795,105,098,438,621,975,132,846,
277,985,599,492,025,461,737,586,496,835,972,140,646,833,774,202,747,165,946,
271,383,524,238,545,737,137,637,637,821,896,695,390,041,978,300,624,729,306,
283,134,469,032,179,481,935,262,015,914,980,266,947,675,408,845,044,855,481,
555,933,394,817,834,899,625,895,404,487,229,839,943,855,725,244,536,297,930,
883,738,611,478,806,404,072,070,265,519,304,468,347,229,010,365,011,348,947,
525,372,407,900,254,314,207,784,957,918,458,973,922,898,291,475,028,422,159,
458,537,419,810,476,137,710,975,475,060,561,206,398,224,866,660,987,372,950,
137,114,179,674,588,759,082,054,730,765,903,770,666,706,670,395,067,342,020,
217,710,031,514,999,004,532,426,450,601,300,186,959,743,950,202,309,946,761,
601,098,614,693,440,266,058,883,998,308,357,690,580,059,824,458,723,586,041,
983,519,974,188,603,364,822,137,766,581,081,159,255,486,452,421,036,432,544,
140,182,323,452,831,930,887,884,853,434,750,082,587,926,354,131,116,925,970,
521,969,248,730,020,734,564,128,587,377,587,167,000,869,375,028,214,857,576,
993,503,964,492,106,640,249,497,613,034,813,584,115,938,685,347,859,175,968,
899,657,246,988,641,911,259,993,892,116,946,064,968,130,304,847,024,754,437,
062,878,592,066,318,344,292,907,156,124,322,745,213,157,364,443,688,922,900,
598,367,418,422,570,019,707,248,166,348,506,307,694,326,548,627,344,246,065,
852,882,943,923,364,373,145,620,222,301,752,937,908,288,856,175,713,740,210,
273,872,709,861,490,245,673,605,189,965,855,310,308,050,016,157,454,904,025,
571,461,778,351,336,870,794,857,498,756,002,339,768,110,530,095,877,041,016,
728,484,139,429,213,838,025,049,808,373,124,804,690,093,309,227,912,742,968,
458,028,082,087,479,273,875,398,408,379,662,565,798,787,286,009,215,693,925,
287,608,705,894,257,443,784,003,290,922,436,623,923,268,800,927,172,555,847,
359,066,155,333,335,720,234,148,652,474,675,967,140,403,998,437,601,375,474,
703,210,468,782,556,751,232,002,867,945,936,794,921,698,339,677,889,983,478,
023,497,013,052,306,950,017,494,143,465,810,093,377,695,966,922,434,210,854,
587,773,057,704,086,657,919,469,717,209,143,152,482,631,473,245,128,763,274,
027,156,380,964,914,410,560,721,775,933,679,438,143,586,012,715,956,757,559,
536,665,386,140,013,069,798,114,058,075,620,736,130,803,244,532,522,327,444,
314,711,540,830,293,721,811,725,859,589,779,424,596,066,020,357,875,673,875,
756,638,749,620,355,835,713,916,102,568,758,887,477,280,887,524,104,403,529,
083,640,249,884,888,695,854,288,574,885,076,763,725,648,282,206,621,474,722,
894,997,251,076,148,182,953,489,793,382,201,335,395,272,350,479,457,305,891,
437,998,919,536,509,705,858,057,867,132,414,783,133,523,649,022,821,114,892,
785,304,616,287,201,731,569,011,825,375,510,407,302,876,376,395,258,961,818,
966,418,946,209,092,618,266,173,923,770,684,366,898,805,889,318,583,981,423,
895,351,797,122,175,005,091,486,131,635,528,761,095,623,548,494,980,027,473,
022,608,089,607,853,171,681,691,681,761,546,912,888,800,830,539,274,431,892,
880,492,644,017,535,332,873,527,244,135,822,827,418,375,400,679,000,267,975,
818,352,524,730,911,830,633,634,214,929,805,154,924,864,892,788,668,290,633,
217,325,551,816,478,973,202,164,004,921,754,879,197,067,865,262,326,618,066,
777,062,980,054,514,710,989,190,827,709,335,194,530,074,556,502,520,121,975,
534,836,438,361,195,896,811,275,063,383,990,640,082,869,283,910,476,029,256,
231,194,629,249,073,049,995,532,627,574,201,641,102,588,858,230,597,173,440,
204,675,894,520,657,357,391,670,776,410,108,124,720,083,449,175,029,244,082,
883,309,532,943,284,086,519,280,403,863,983,877,480,929,302,233,333,544,030,
384,659,433,692,361,900,393,917,538,100,605,721,479,944,731,746,737,863,290,
436,823,508,954,515,710,030,467,190,207,235,727,621,318,641,034,497,304,847,
183,640,789,715,933,811,818,535,929,480,855,646,077,459,194,355,948,906,157,
346,742,394,513,604,300,670,964,910,843,918,806,371,797,469,053,385,579,219,
547,290,268,839,682,088,307,270,890,351,314,408,400,824,201,324,410,893,882,
961,491,679,371,091,722,411,572,211,326,319,857,436,210,264,720,865,645,492,
723,466,375,324,325,135,916,354,939,073,893,728,925,028,326,218,875,584,250,
531,822,499,731,936,265,088,634,972,181,039,840,148,093,647,505,215,860,222,
317,346,894,974,212,465,616,049,661,044,618,228,209,371,367,432,525,855,236,
625,824,465,316,962,160,742,897,727,181,649,143,474,429,103,713,302,177,386,
228,626,398,214,695,063,734,345,289,289,564,819,594,291,000,867,192,341,105,
487,331,837,493,917,380,310,356,624,194,295,705,095,484,664,389,737,606,163,
801,259,604,704,166,674,139,518,581,460,847,947,873,126,669,806,501,258,176,
971,733,346,745,979,801,140,494,452,978,814,470,888,096,875,225,880,087,302,
048,012,914,183,534,092,318,634,227,163,939,218,827,981,640,950,138,895,380,
511,579,793,836,646,014,549,671,574,446,321,901,379,960,012,246,801,310,349,
898,256,806,591,992,434,295,406,259,019,289,878,270,965,650,216,688,949,763,
641,366,667,239,183,685,390,325,034,188,859,152,187,439,244,589,464,639,441,
977,363,052,012,151,793,500,455,946,157,274,058,119,844,706,174,070,642,027,
303,043,007,349,935,908,367,840,202,845,630,101,095,431,942,571,869,441,444,
000,186,937,223,983,636,146,644,115,635,073,470,759,869,600,963,086,999,163,
785,541,024,310,604,751,787,439,838,305,348,600,793,757,343,271,889,894,425,
313,926,551,503,667,347,411,510,414,872,146,355,558,452,456,591,585,147,958,
939,547,209,676,967,458,323,157,979,469,077,238,170,258,507,432,117,239,006,
510,972,986,277,611,821,664,347,061,781,688,996,253,402,231,985,534,645,380,
749,884,722,410,372,237,288,379,622,844,305,925,937,222,127,176,837,910,830,
505,826,693,653,918,097,518,017,932,220,150,768,205,934,726,173,961,987,101,
234,822,796,961,741,540,694,295,136,486,544,946,311,742,607,872,936,528,123,
994,281,471,795,454,444,532,375,500,712,621,610,420,393,025,779,415,434,584,
513,623,597,772,331,617,316,455,527,000,169,505,880,955,023,839,441,360,978,
817,169,038,583,636,832,029,048,091,609,302,336,775,675,011,156,816,135,612,
537,319,867,857,985,056,191,531,059,820,462,254,130,304,560,558,721,228,464,
752,344,412,256,527,445,018,301,185,395,586,487,545,173,649,745,358,144,936,
948,162,872,165,766,899,378,095,951,036,946,688,305,421,935,796,603,752,025,
932,008,972,394,280,358,707,045,670,392,173,715,326,121,985,650,930,025,688,
906,474,533,549,350,369,655,805,292,105,770,256,497,006,705,542,465,366,031,
089,944,274,550,438,351,503,358,111,162,331,537,308,054,890,929,130,088,905,
032,151,506,990,807,540,342,513,417,525,539,835,270,925,689,963,489,191,947,
012,844,136,408,121,916,816,978,553,419,589,406,117,403,521,428,954,198,261,
616,195,711,849,323,595,236,601,243,942,664,320,703,535,185,064,374,432,591,
787,468,414,442,808,289,144,925,304,307,454,806,416,674,058,625,154,069,445,
514,517,145,536,665,444,636,563,698,834,651,876,215,138,408,359,147,019,590,
481,764,478,639,168,795,472,493,682,969,918,035,520,247,512,254,237,735,822,
444,524,262,383,995,451,695,468,818,840,023,021,381,179,763,047,619,455,640,
242,395,269,553,213,851,700,183,740,371,165,279,039,037,258,746,491,699,650,
195,538,402,887,092,558,727,873,656,929,365,473,238,962,491,556,924,281,304,
906,954,847,802,213,897,026,253,650,168,860,154,293,359,301,590,807,707,885,
419,525,734,997,462,960,056,473,098,882,529,112,082,662,313,688,142,068,906,
742,897,501,321,161,033,732,282,109,554,900,434,037,795,068,505,426,401,338,
802,376,555,959,363,604,509,956,524,434,760,609,786,603,681,796,430,697,662,
082,551,417,212,115,813,747,896,503,703,640,823,785,987,206,122,780,664,547,
622,093,698,679,971,547,817,049,289,600,456,314,720,264,863,580,593,234,395,
807,170,366,216,751,074,337,213,900,144,644,109,983,897,069,514,013,995,913,
253,612,471,803,547,366,319,565,425,592,698,854,551,393,747,533,297,172,002,
961,222,087,431,676,859,931,755,106,284,561,012,163,205,261,515,787,698,048,
713,701,663,087,792,746,556,242,438,632,823,024,802,688,707,637,154,893,526,
733,188,297,307,825,859,682,883,670,058,046,270,658,005,097,060,169,579,731,
477,088,116,186,514,847,663,436,078,197,944,064,598,198,015,926,498,647,730,
571,645,339,585,136,687,906,002,479,836,372,848,640,369,678,304,969,817,487,
427,238,872,373,427,082,512,561,060,128,858,622,394,694,873,234,771,806,038,
497,513,041,963,428,165,267,234,036,378,795,099,317,469,841,776,878,743,824,
456,611,732,809,031,395,214,316,291,347,069,939,840,375,353,477,694,457,105,
377,896,073,248,888,670,261,497,683,182,521,823,392,436,415,177,805,239,512,
720,296,822,023,524,837,318,915,338,147,918,223,356,122,256,875,631,694,436,
518,018,793,051,097,636,922,764,849,634,323,333,286,868,771,354,810,996,327,
617,103,266,489,463,769,932,999,575,121,373,874,696,296,194,957,752,029,471,
890,198,580,331,807,910,722,742,938,112,322,124,554,012,466,838,609,093,222,
657,170,011,549,175,964,831,146,401,088,343,314,659,345,751,674,797,363,086,
637,674,961,073,363,337,339,993,852,655,880,836,437,671,707,041,488,010,977,
432,880,587,855,794,862,161,967,407,448,724,508,153,518,456,367,440,528,870,
053,799,271,518,985,567,888,275,894,661,961,189,196,315,751,871,380,740,530,
747,144,141,700,687,057,330,165,435,154,203,999,339,460,009,587,436,840,633,
417,210,630,358,053,043,851,446,958,988,518,404,998,259,832,388,165,153,055,
005,989,877,111,464,738,376,246,523,616,452,539,901,981,178,440,888,143,234,
237,759,597,056,404,863,513,788,409,719,148,228,643,915,433,252,000,538,128,
530,069,672,944,255,514,991,052,284,638,169,130,469,548,980,383,257,325,045,
763,274,438,989,745,743,215,064,421,788,167,628,892,954,516,975,348,437,568,
886,410,642,401,080,633,240,885,489,133,215,621,502,812,977,687,113,285,623,
061,887,565,263,705,296,002,990,467,040,683,316,956,378,898,952,480,811,200,
730,233,545,841,980,379,897,223,338,764,570,735,435,628,768,277,100,083,775,
652,114,167,504,678,074,713,173,656,992,556,443,278,764,812,603,796,385,084,
304,965,688,536,302,358,535,718,736,655,384,554,283,695,412,576,555,458,930,
976,089,432,074,343,553,740,185,285,625,885,951,489,878,097,899,217,582,676,
407,496,457,840,544,399,704,908,181,445,976,057,021,146,146,540,671,151,344,
531,323,561,156,288,415,698,513,585,251,069,161,942,141,548,594,826,568,188,
102,488,877,505,629,923,006,504,472,911,995,191,873,277,394,816,325,397,181,
118,871,221,450,860,323,714,906,036,751,616,280,843,289,892,795,085,770,351,
609,382,824,079,449,438,009,344,335,124,954,223,819,399,547,471,755,648,446,
539,951,826,364,609,289,763,209,261,135,316,142,245,876,292,251,251,374,794,
629,822,603,664,957,357,917,267,162,519,444,562,217,738,213,521,492,178,516,
094,376,748,612,658,920,085,889,068,799,280,124,642,875,275,570,612,265,053,
224,022,996,042,552,596,932,173,674,753,599,938,939,258,371,706,900,218,314,
954,348,018,159,839,506,495,948,601,357,259,991,513,915,370,520,432,206,263,
962,413,686,195,302,001,088,358,217,677,932,647,155,836,708,822,003,364,458,
540,846,521,181,478,047,372,344,219,460,223,238,032,258,468,338,876,793,294,
661,005,354,217,638,323,035,137,167,330,609,475,662,150,788,999,718,918,531,
131,971,761,437,397,835,644,455,296,318,740,430,184,009,785,007,608,983,414,
590,224,742,346,946,584,561,776,044,097,133,590,468,353,168,197,639,754,411,
940,317,196,723,990,218,140,913,456,456,566,596,825,045,903,487,505,177,653,
529,884,422,525,156,295,353,823,678,583,000,717,774,417,824,601,706,161,403,
523,576,974,934,651,558,847,016,082,218,446,447,458,558,448,628,369,375,793,
287,589,036,566,906,950,696,853,808,725,611,495,577,039,277,741,957,972,620,
005,189,917,643,409,818,210,489,857,809,426,358,496,940,837,417,123,420,659,
487,445,946,279,156,389,698,633,646,338,852,789,678,024,701,315,227,560,651,
125,405,513,866,741,828,952,519,286,164,143,046,295,023,439,179,343,078,027,
591,840,932,474,875,159,660,392,204,704,786,763,134,732,212,650,209,963,330,
428,971,106,502,822,951,138,483,772,408,797,266,441,201,801,286,231,527,935,
037,562,997,945,082,737,316,086,168,032,268,571,177,547,192,732,362,648,947,
726,328,233,794,331,486,596,776,121,514,447,730,115,540,337,230,328,052,687,
401,979,244,933,436,008,969,794,322,530,754,208,341,424,022,010,998,136,537,
181,527,457,875,563,731,180,467,272,947,936,247,440,106,492,342,189,509,708,
663,615,742,257,245,418,616,630,945,735,534,733,197,934,216,715,943,328,390,
442,407,228,382,998,479,126,876,257,390,358,534,369,479,584,085,057,630,384,
302,597,624,489,683,417,171,354,833,534,848,230,539,126,326,852,242,604,819,
318,298,429,091,066,965,104,427,798,275,661,500,946,123,095,356,708,712,062,
036,910,954,217,897,028,177,540,567,179,653,798,781,253,670,933,491,207,024,
987,538,731,166,953,070,273,391,701,874,770,860,492,678,977,343,638,539,002,
117,172,901,718,098,402,058,745,735,702,178,583,611,584,709,917,735,249,413,
408,025,699,534,907,748,020,299,897,268,721,812,748,034,499,370,466,666,128,
223,439,142,901,436,489,015,451,303,141,638,451,499,673,153,259,336,931,875,
592,630,072,056,035,951,271,717,141,464,430,715,394,015,513,799,113,064,381,
409,913,066,617,488,601,108,908,716,365,543,016,038,204,595,928,971,932,127,
661,622,559,645,294,539,490,507,119,149,716,506,053,244,182,345,298,879,036,
506,934,973,762,736,784,461,601,763,150,461,262,215,319,529,704,633,580,607,
736,338,284,737,274,489,101,274,453,381,094,010,305,255,361,661,140,403,779,
690,285,484,200,160,854,105,248,519,333,399,419,785,567,667,072,423,884,920,
170,072,417,978,663,924,882,205,526,264,262,944,944,983,574,828,169,050,076,
840,810,057,552,360,785,010,963,532,762,246,125,842,817,412,098,467,725,614,
740,591,235,985,812,538,455,861,023,154,195,969,403,608,977,681,783,318,000,
743,960,713,963,700,116,913,568,323,834,932,228,496,933,007,380,425,758,852,
539,049,627,222,115,132,134,510,112,878,825,030,039,089,145,690,116,749,204,
908,086,097,873,794,955,253,197,547,584,941,653,633,262,441,370,063,559,449,
553,356,856,032,668,204,325,006,289,549,780,886,025,625,806,271,864,795,988,
956,192,979,299,730,357,022,224,445,015,705,241,864,975,766,322,843,265,202,
681,410,330,896,226,121,692,392,724,551,878,893,884,674,164,981,702,707,030,
275,331,861,318,713,455,081,852,337,725,322,946,022,128,058,900,445,690,157,
187,888,369,228,627,156,890,932,598,094,766,340,322,834,293,313,326,764,034,
467,811,336,309,045,610,389,214,096,758,888,594,016,237,646,638,646,073,525,
838,134,545,529,364,012,976,959,795,073,808,964,331,030,197,647,665,762,028,
777,183,174,537,992,468,178,030,443,492,663,912,384,049,214,799,035,426,840,
468,576,420,339,940,675,816,083,095,509,443,224,842,956,104,378,880,963,665,
518,554,012,361,268,254,606,264,280,964,256,657,404,428,735,348,683,531,991,
036,506,119,166,079,001,102,866,219,267,509,380,441,233,901,097,227,315,052,
524,273,137,500,188,531,351,862,071,376,834,915,561,269,979,299,409,013,936,
694,314,444,814,560,254,331,472,440,808,085,017,178,665,922,380,050,117,192,
303,034,563,021,081,133,808,572,258,842,405,146,185,129,638,267,461,784,381,
360,878,643,167,169,078,799,551,581,279,039,285,730,278,002,673,333,628,106,
992,379,935,619,147,471,652,508,664,121,250,027,749,185,945,480,556,262,573,
505,942,853,639,589,991,954,614,446,164,924,444,276,827,653,483,468,285,695,
487,606,764,655,783,991,009,550,437,582,333,699,457,270,770,971,259,762,676,
053,698,414,414,746,915,321,472,945,714,939,854,164,743,003,848,196,972,429,
069,563,731,168,236,642,622,372,958,321,946,375,139,392,401,141,388,468,894,
054,796,948,145,365,227,852,082,228,021,781,324,004,045,963,248,056,594,377,
477,156,545,165,354,335,292,789,647,588,741,567,398,133,189,408,134,967,323,
126,137,273,005,154,741,780,771,130,970,896,791,361,307,961,337,983,165,695,
955,397,297,972,417,838,004,841,148,444,400,566,125,048,457,557,731,304,591,
067,246,520,693,290,848,895,618,552,563,075,804,091,595,069,765,923,944,320,
089,837,654,374,378,718,059,705,174,054,843,551,060,058,449,663,583,055,187,
530,152,544,681,109,179,187,093,606,661,666,896,633,822,726,696,823,495,767,
408,674,805,953,762,707,875,786,185,174,948,457,725,006,366,952,283,880,866,
051,868,171,603,040,125,485,700,549,416,365,254,852,822,636,667,781,795,356,
035,346,950,629,537,626,945,559,064,395,819,517,371,539,985,200,824,621,799,
027,446,986,820,932,648,131,702,735,618,459,562,801,546,179,364,417,136,536,
886,817,997,694,970,909,932,978,061,249,574,269,411,843,880,580,903,793,068,
566,036,766,391,231,200,897,748,854,754,414,393,002,943,032,648,251,030,467,
831,028,665,274,594,672,904,624,510,144,291,487,838,750,718,224,562,259,627,
718,227,668,428,118,944,057,050,819,199,524,104,552,548,415,852,428,818,705,
384,323,638,108,342,752,163,956,005,111,980,734,029,362,994,220,517,216,465,
332,122,712,659,143,079,699,881,034,876,548,962,254,202,534,008,602,459,864,
146,740,445,058,039,619,880,064,794,200,650,051,186,470,337,635,714,572,196,
301,233,973,193,206,105,673,223,738,779,269,437,231,440,687,827,864,012,354,
410,547,919,004,326,319,080,950,271,510,703,961,725,572,860,088,739,550,737,
853,865,753,867,386,536,830,260,470,841,449,291,794,718,697,291,136,030,873,
984,262,868,223,475,212,879,267,604,479,960,463,121,127,562,707,765,156,910,
012,777,348,142,810,164,566,052,240,739,542,372,619,695,235,539,860,062,628,
945,698,763,210,440,979,908,401,725,635,783,822,300,919,814,059,171,360,055,
591,278,256,868,383,789,507,216,889,321,530,983,903,771,486,845,706,265,274,
778,614,045,826,018,343,088,715,267,491,009,625,634,001,525,848,075,870,318,
434,881,922,748,908,618,818,845,272,101,148,614,395,851,199,500,479,440,479,
966,166,885,182,275,162,481,680,614,902,885,052,815,337,299,465,750,136,003,
622,775,684,779,930,775,474,237,022,453,508,284,811,945,521,137,419,141,729,
609,747,489,765,934,799,180,345,377,692,737,519,128,211,422,186,113,731,135,
517,332,870,078,517,015,043,106,582,473,172,125,899,052,408,019,273,191,109,
633,873,673,578,921,126,665,015,199,097,281,615,697,437,539,024,816,417,993,
170,889,757,825,401,362,344,272,931,010,884,206,817,065,920,359,815,622,598,
649,079,995,277,029,482,068,253,315,555,359,521,494,476,340,499,010,853,082,
059,874,166,249,720,840,001,887,829,686,914,985,537,737,632,984,230,307,037,
182,125,231,964,520,337,013,516,250,870,520,667,309,111,475,896,968,716,297,
149,989,120,449,392,255,072,435,898,122,618,016,615,590,051,506,846,334,937,
722,231,190,235,691,475,909,248,989,958,330,731,826,706,068,992,177,526,917,
799,046,190,321,067,477,538,281,648,672,836,426,515,136,550,325,458,661,971,
759,641,883,889,355,467,109,530,573,609,379,536,865,033,451,682,663,590,419,
441,465,523,309,814,652,050,577,244,378,315,286,981,051,160,809,851,519,677,
330,080,379,908,063,996,939,012,506,439,795,550,814,252,401,823,493,137,279,
134,158,902,168,113,322,381,293,938,565,304,049,418,822,199,961,104,318,773,
845,485,941,847,269,998,667,380,842,686,091,737,747,370,382,695,542,105,568,
161,643,707,668,796,867,527,585,162,376,069,040,662,987,778,169,397,359,917,
313,217,717,434,840,874,884,042,748,683,225,778,848,754,264,421,784,507,571,
015,668,098,593,664,790,587,153,990,421,908,061,959,151,264,149,715,855,019,
143,760,433,296,787,586,968,056,188,536,959,241,728,265,064,159,152,937,004,
793,432,248,439,764,281,682,084,933,966,105,570,212,134,623,766,393,130,780,
222,311,789,538,111,373,701,851,256,769,885,974,483,626,037,179,201,380,156,
476,530,064,599,965,922,347,280,478,453,560,888,144,230,042,407,284,589,854,
814,386,932,559,903,716,184,174,371,254,766,380,072,834,661,191,836,621,683,
843,514,198,924,607,071,837,092,269,814,614,769,426,610,340,155,869,092,990,
662,578,848,510,890,329,336,506,042,195,418,006,130,848,890,248,716,569,348,
797,352,668,872,629,315,735,147,202,327,437,832,199,680,732,236,290,328,421,
874,503,734,927,137,898,744,812,195,884,048,178,893,786,515,048,508,561,181,
970,686,882,832,995,759,952,497,345,147,731,882,137,973,911,390,785,668,098,
242,030,269,072,156,636,535,688,571,460,569,046,199,176,721,138,415,955,924,
016,584,351,679,104,905,828,146,471,850,004,767,579,778,107,142,139,697,628,
760,193,235,047,435,964,217,135,345,872,286,051,244,689,571,035,038,700,095,
477,266,868,013,979,602,582,028,519,594,197,122,856,978,650,108,913,124,556,
638,245,061,879,470,479,363,713,359,316,897,238,245,590,544,795,512,095,382,
971,626,644,786,634,876,902,038,491,428,407,885,169,585,892,643,837,894,151,
090,570,040,361,885,044,448,392,407,725,315,847,768,814,264,391,738,229,803,
402,486,901,305,519,709,438,087,497,310,662,169,952,861,493,309,114,669,374,
912,582,593,453,408,886,385,256,138,166,761,542,920,545,213,148,230,394,928,
991,120,697,311,089,297,245,783,563,051,002,677,563,468,921,462,770,082,315,
705,531,417,041,367,960,887,285,150,911,895,745,644,746,326,056,760,358,575,
940,423,026,230,837,089,030,747,898,810,411,677,357,022,269,446,596,628,752,
975,756,361,350,093,723,587,093,949,760,942,513,585,135,205,536,718,010,530,
696,632,803,568,708,304,150,208,433,812,141,944,809,189,391,008,635,718,445,
259,698,561,961,868,190,164,443,984,067,007,265,879,904,303,335,044,916,668,
289,251,242,813,831,312,941,393,711,489,239,036,616,677,982,517,972,048,019,
131,234,482,873,187,320,018,240,452,759,242,507,196,967,160,001,923,946,835,
589,634,806,029,368,691,456,695,187,181,867,874,178,878,640,641,752,249,125,
570,186,124,237,236,197,252,085,770,160,789,203,507,775,872,467,043,008,701,
867,578,508,077,084,288,314,307,870,208,544,457,834,273,681,838,846,512,912,
310,077,979,491,503,646,484,198,182,334,797,629,075,397,367,590,558,257,495,
343,392,498,544,088,974,974,667,368,819,959,445,356,662,435,123,955,460,045,
445,036,359,624,333,410,157,218,297,918,398,458,669,461,548,404,748,833,062,
932,219,702,540,184,268,133,455,650,880,003,200,017,626,723,628,384,275,602,
341,544,873,296,301,172,471,521,862,358,841,528,685,205,126,106,858,027,901,
997,302,109,570,583,015,536,159,360,527,227,791,501,448,275,874,147,077,261,
024,861,490,670,424,562,952,515,684,995,184,295,776,979,317,271,110,401,271,
967,891,610,940,544,330,028,669,669,532,358,981,443,663,882,336,962,697,266,
920,795,085,703,699,763,311,131,422,932,536,771,020,841,248,530,747,932,587,
221,303,859,738,660,081,113,002,639,887,000,634,015,061,952,609,414,203,611,
048,435,379,372,679,703,153,014,406,155,362,733,447,016,125,271,270,772,642,
642,325,420,866,446,418,419,163,397,999,212,619,401,477,712,590,595,431,200,
471,685,704,903,561,971,385,184,728,132,748,935,702,364,348,804,085,525,754,
417,325,557,794,612,713,574,726,064,164,542,170,096,357,749,487,911,937,308,
271,730,290,048,627,591,474,374,909,623,713,634,175,809,917,415,682,621,853,
630,883,533,714,081,273,282,359,646,251,160,848,673,335,704,190,445,163,290,
593,402,510,263,389,079,097,470,320,912,964,393,072,961,556,119,661,584,430,
340,334,118,579,101,071,687,632,488,080,474,488,718,947,474,330,309,795,911,
239,732,565,493,435,857,189,495,036,041,030,272,299,690,038,007,275,413,810,
387,587,145,692,296,950,680,659,060,750,535,368,561,468,722,456,977,430,739,
236,681,604,489,769,384,174,583,020,543,325,540,198,019,213,175,640,682,980,
262,645,894,252,428,593,928,794,415,812,197,016,922,417,141,431,629,899,884,
473,322,171,498,460,560,194,107,653,355,979,222,194,567,690,937,313,687,460,
806,092,213,286,965,704,668,555,874,675,672,669,222,100,591,725,601,661,732,
869,510,223,485,065,589,324,322,120,932,557,411,794,452,273,855,418,493,588,
383,400,766,106,442,090,870,369,651,133,094,596,828,286,370,195,984,996,838,
294,279,943,447,877,898,702,658,904,260,235,624,602,031,440,999,834,659,623,
654,685,663,770,071,930,459,885,071,733,394,262,602,625,779,748,699,483,793,
178,838,919,811,050,099,536,849,163,670,145,937,214,322,109,668,430,581,104,
922,097,574,158,646,961,038,033,372,018,993,026,420,625,632,510,982,539,559,
095,280,999,298,087,660,410,497,094,940,429,541,441,924,868,758,627,563,974,
435,256,335,444,704,816,357,732,247,092,186,585,494,229,308,456,008,427,981,
761,736,929,880,082,882,316,459,108,422,923,773,020,216,708,451,847,123,638,
888,750,205,720,714,736,845,215,993,189,441,911,036,517,041,310,881,758,322,
703,626,687,862,609,840,169,041,000,792,458,278,379,376,822,481,866,501,435,
204,601,408,345,463,422,911,123,289,573,477,622,641,577,360,987,474,081,203,
862,253,512,030,008,571,260,959,024,823,530,926,320,116,689,166,277,605,381,
183,679,092,246,025,934,964,042,756,319,072,688,698,465,946,534,891,268,733,
471,690,093,076,930,039,621,201,442,878,565,045,618,163,341,488,033,708,081,
472,679,132,395,582,393,800,219,242,215,767,932,289,438,024,188,608,035,124,
473,907,961,831,597,680,640,433,133,298,276,928,480,657,912,938,854,890,359,
064,778,978,360,313,969,304,630,786,201,538,840,296,815,203,287,756,758,470,
774,668,318,955,033,622,411,767,208,556,225,450,594,662,408,518,575,732,679,
503,549,866,470,635,198,982,361,909,987,892,067,989,744,247,665,966,473,223,
702,269,328,050,624,272,821,689,195,656,640,024,344,109,501,899,773,321,363,
819,048,115,915,212,400,083,597,588,420,874,237,658,923,518,696,316,774,707,
866,118,247,060,586,584,205,391,055,593,429,994,992,233,359,017,204,056,423,
189,870,938,601,577,479,968,028,503,491,636,969,501,864,539,969,070,164,288,
621,695,469,120,491,259,461,361,426,478,359,333,736,884,892,011,580,501,876,
488,021,289,274,492,932,038,098,914,714,978,313,043,544,425,869,594,096,177,
839,373,371,431,984,437,170,425,043,351,417,009,094,606,504,926,238,143,180,
068,074,004,127,566,482,235,330,309,586,411,103,225,663,364,831,171,557,760,
478,739,156,563,583,302,070,489,813,138,276,009,655,998,257,945,701,648,931,
244,129,061,220,358,610,819,984,944,297,112,492,054,649,825,359,880,091,828,
463,353,635,936,341,520,956,657,340,081,959,283,642,685,218,159,880,676,049,
961,069,873,395,259,864,411,826,652,579,014,374,268,163,528,306,689,487,465,
158,358,664,817,659,529,950,694,372,751,298,386,145,964,104,336,308,593,386,
621,313,184,858,174,178,812,989,767,060,978,525,346,818,592,571,181,297,249,
853,652,492,170,202,631,543,274,750,812,204,477,313,793,781,030,581,448,990,
677,185,031,407,531,983,598,553,312,500,512,704,390,853,283,119,702,102,130,
122,433,228,004,870,462,833,694,716,397,128,818,898,758,867,790,088,724,900,
950,950,118,927,964,952,091,643,912,519,074,404,479,297,430,142,387,477,210,
285,414,086,937,431,777,979,108,074,127,665,847,154,886,508,196,990,611,478,
752,784,295,527,048,919,772,039,588,503,425,402,178,737,579,901,843,415,118,
048,293,368,080,423,709,793,420,884,746,516,949,876,550,286,515,930,251,754,
086,956,545,907,203,729,135,849,768,807,975,180,618,283,452,887,238,900,696,
723,481,351,307,112,097,016,699,453,556,615,187,566,149,746,024,132,336,682,
694,983,218,106,506,497,057,876,405,342,054,887,537,333,013,395,437,742,510,
894,863,439,149,305,063,889,331,692,421,171,196,380,429,159,553,729,310,704,
583,370,780,044,382,435,988,017,544,533,922,432,008,155,370,398,009,620,192,
757,282,849,240,017,205,528,047,363,603,708,844,836,124,007,938,968,068,681,
510,498,809,959,998,790,280,745,591,967,113,842,359,077,048,289,268,499,202,
087,431,191,454,537,960,204,722,340,079,299,409,619,532,860,022,243,811,354,
149,093,673,983,222,970,321,557,737,023,160,425,134,954,342,814,083,417,896,
699,813,888,024,585,766,654,706,263,340,115,055,015,171,046,321,149,268,476,
698,283,724,152,064,241,074,660,552,150,776,226,598,123,973,447,566,206,990,
105,920,683,976,909,389,873,616,869,098,825,930,489,469,106,379,562,432,242,
154,475,364,951,783,527,714,999,680,858,964,359,576,661,871,064,653,646,586,
435,447,967,293,329,462,552,932,010,784,144,820,047,578,606,727,545,381,997,
562,887,588,558,445,522,094,884,524,325,473,172,505,990,570,030,040,303,780,
695,784,073,219,521,794,698,476,399,431,478,570,528,690,844,525,286,838,265,
406,506,629,904,932,368,005,484,938,698,858,886,560,630,346,743,187,146,413,
548,027,814,082,636,940,492,997,104,581,876,297,564,732,359,230,942,282,749,
537,505,478,818,495,897,299,084,205,680,827,537,456,390,082,178,371,460,851,
795,920,128,184,232,033,629,505,278,558,410,335,559,200,521,647,059,410,554,
586,183,587,295,994,110,963,933,797,652,443,986,118,575,523,531,637,747,031,
676,920,465,054,095,566,127,999,276,919,444,860,880,761,683,153,146,866,837,
209,351,726,347,484,195,135,283,256,076,711,688,851,360,535,204,717,083,002,
040,334,980,646,987,100,407,841,129,795,919,730,939,237,934,534,191,767,067,
963,723,590,339,171,828,953,953,340,565,344,371,114,143,682,076,288,879,855,
918,749,252,441,571,961,582,410,482,905,011,080,857,416,166,322,673,174,347,
732,287,905,173,173,234,453,404,648,349,271,200,511,750,941,107,460,048,097,
253,406,039,973,251,306,341,685,009,780,627,694,587,437,041,233,943,070,725,
526,137,904,917,083,160,767,898,386,510,059,186,213,909,247,281,784,877,741,
142,975,962,574,163,968,766,085,692,248,280,096,370,183,495,777,927,911,558,
238,105,524,430,802,657,038,850,804,672,800,126,306,124,186,841,164,881,981,
679,806,881,019,895,781,835,319,883,357,114,378,118,638,761,806,567,761,071,
660,693,833,221,326,325,701,182,360,551,783,465,021,882,803,601,238,354,368,
243,815,355,044,340,806,374,999,566,030,660,314,627,125,699,299,498,055,370,
362,951,360,379,687,483,206,489,644,514,071,719,914,459,658,503,733,531,614,
597,101,149,776,770,305,135,514,841,787,317,534,432,909,759,369,778,135,950,
571,264,522,399,235,011,058,529,608,570,727,762,948,792,220,399,507,693,882,
124,003,804,509,220,226,311,652,722,246,131,247,516,714,331,720,853,446,639,
271,622,772,281,791,793,524,640,513,572,637,536,801,090,810,111,443,746,602,
866,650,962,726,571,126,466,990,044,745,002,953,927,468,973,164,398,996,881,
416,524,818,844,341,879,367,745,850,957,858,384,786,970,349,641,441,559,855,
504,191,292,777,846,612,930,448,294,542,110,932,716,351,572,114,046,750,511,
307,236,655,677,425,245,220,190,282,961,217,312,372,656,492,221,082,847,343,
914,233,155,755,664,109,324,925,234,918,955,126,764,687,296,648,705,719,618,
155,831,345,812,178,271,689,484,695,375,038,188,224,428,412,929,197,011,308,
653,519,040,869,136,501,980,588,399,908,016,389,721,037,244,777,221,713,186,
473,095,435,215,962,779,906,465,624,019,826,614,154,621,229,911,241,946,623,
285,035,311,071,318,010,630,514,108,026,425,456,456,157,568,921,847,959,200,
216,259,236,048,634,814,092,474,041,562,680,030,129,682,524,020,630,366,043,
770,002,747,158,811,691,691,961,246,639,654,575,037,147,749,340,991,140,817,
641,361,538,297,031,110,843,934,562,250,533,646,719,995,564,036,195,923,636,
067,827,697,224,557,548,726,582,147,968,437,606,655,539,074,916,398,158,687,
850,167,446,807,824,386,932,390,586,891,237,227,320,974,835,823,352,428,548,
832,197,301,212,747,150,363,858,997,444,569,222,396,098,718,402,643,980,831,
049,143,126,055,754,178,605,021,427,625,009,210,333,270,299,503,103,194,000,
715,846,394,420,598,063,522,913,092,085,410,301,758,487,660,750,132,233,223,
027,101,202,990,500,717,680,650,017,596,134,569,163,564,695,419,259,359,652,
909,827,760,657,086,312,604,763,039,770,671,212,571,305,477,872,671,805,113,
969,786,015,351,104,484,599,844,698,703,842,922,905,583,597,974,703,343,209,
111,241,025,083,546,318,030,799,630,672,862,909,934,279,514,585,761,133,473,
074,438,299,872,855,325,457,202,846,827,394,476,091,476,803,716,450,433,809,
924,753,200,543,686,458,718,175,285,784,167,930,222,684,781,762,829,786,471,
110,481,882,924,994,075,294,071,016,522,226,276,878,193,332,837,259,189,132,
763,544,427,405,053,454,742,813,920,364,603,351,972,897,046,818,874,568,516,
743,203,362,434,024,204,854,001,871,672,650,662,148,632,227,506,722,990,459,
618,155,962,808,366,604,455,380,687,470,359,889,576,046,679,605,697,238,719,
199,232,775,991,621,904,455,903,330,333,561,204,811,316,130,341,250,281,383,
591,391,412,732,002,647,863,152,264,390,286,045,355,299,773,645,039,228,939,
539,547,333,254,337,275,894,225,477,384,739,977,095,296,469,152,299,935,656,
044,436,061,723,444,795,328,203,952,002,594,497,963,003,974,244,995,707,514,
432,406,466,569,509,271,921,688,808,354,052,730,532,306,595,704,780,935,039,
748,896,628,356,343,318,571,148,466,553,183,159,412,173,456,633,327,408,322,
678,417,182,172,462,035,986,164,937,536,951,995,999,341,877,601,537,791,278,
237,740,530,130,044,038,338,215,567,003,504,421,031,710,797,587,921,888,005,
370,577,778,662,215,970,318,938,660,895,233,065,723,747,581,947,290,388,767,
170,786,811,808,013,972,038,674,264,149,997,424,761,176,521,680,339,604,649,
246,036,215,571,352,241,242,429,855,763,400,789,931,072,982,028,664,643,912,
738,897,724,165,578,847,665,131,049,495,111,162,170,245,040,994,804,302,021,
813,952,375,857,482,126,508,021,754,464,859,425,246,583,227,508,526,558,693,
637,565,858,714,208,133,134,527,491,955,320,608,427,014,931,962,985,174,299,
921,367,620,428,760,833,807,262,661,018,890,708,700,461,729,222,611,183,543,
977,098,155,387,375,165,973,369,745,116,926,662,686,304,089,103,920,457,042,
429,598,457,063,350,028,903,148,404,471,857,065,671,313,447,832,875,632,410,
180,491,304,372,766,237,378,750,091,686,552,569,518,089,392,069,516,489,243,
114,697,332,563,916,843,639,737,564,087,359,579,306,364,439,371,533,509,680,
300,853,405,886,910,585,066,488,744,734,309,566,587,892,932,465,073,798,636,
104,239,362,926,939,808,631,186,914,265,535,336,575,976,104,687,586,826,140,
595,960,100,432,771,063,908,461,296,784,575,387,957,300,878,759,434,875,009,
224,042,722,687,063,408,915,839,585,922,661,867,747,654,221,049,601,578,304,
324,060,867,938,274,182,700,217,172,322,477,289,318,373,460,492,349,003,227,
570,526,502,366,618,849,162,901,313,608,077,774,457,417,329,674,751,586,102,
133,717,586,128,584,669,221,892,867,749,158,550,186,324,117,962,188,921,793,
981,551,292,713,043,186,230,691,666,811,598,897,720,498,229,938,454,088,525,
889,470,971,340,512,431,879,948,973,854,402,522,134,835,821,395,784,017,747,
698,088,221,298,398,933,666,383,958,996,316,004,126,397,223,427,328,427,867,
156,321,651,737,655,511,404,698,611,555,649,849,029,440,611,197,751,226,876,
209,032,353,662,286,846,375,337,220,608,836,251,023,128,833,137,662,292,048,
501,378,470,861,524,802,616,071,794,648,612,586,191,851,466,635,131,302,238,
486,943,670,851,430,645,133,045,384,599,058,452,954,368,808,297,652,691,498,
159,988,046,171,338,648,416,684,195,021,688,624,311,344,726,532,033,538,143,
002,950,523,668,757,621,334,875,705,972,960,708,555,822,639,249,753,169,721,
664,588,329,115,318,490,649,626,213,757,433,273,758,567,114,082,348,618,089,
071,039,829,573,670,462,443,924,130,388,316,634,630,289,196,948,714,780,420,
028,790,667,557,460,730,546,024,120,297,817,433,253,370,785,088,124,989,252,
652,043,870,645,290,287,069,776,232,811,345,457,589,200,600,246,484,494,968,
959,572,050,190,721,073,976,340,617,017,021,351,835,166,084,154,638,807,300,
071,596,391,531,233,974,686,471,348,535,351,334,596,184,506,410,334,118,088,
582,533,632,348,084,486,619,697,600,066,181,648,763,149,928,091,135,203,207,
811,655,652,173,613,483,734,248,485,167,196,528,422,680,459,817,653,967,216,
413,926,999,606,117,279,093,074,298,442,515,541,821,797,957,404,362,436,022,
808,000,557,309,320,634,486,956,119,471,002,583,470,573,397,324,754,321,223,
047,192,949,115,505,295,463,790,028,611,752,732,455,398,184,924,269,118,518,
731,241,104,583,919,297,397,294,328,761,005,125,675,547,467,279,392,136,255,
366,457,905,857,850,372,162,943,940,291,501,712,218,419,893,714,517,164,476,
501,307,215,336,284,775,008,469,779,588,013,111,972,753,583,936,711,331,704,
331,404,580,253,409,834,056,895,279,969,725,173,224,506,894,336,617,535,339,
718,802,503,029,378,724,616,016,972,186,147,419,112,100,210,069,914,110,710,
974,467,988,647,924,180,339,186,048,925,171,124,707,009,072,950,163,997,039,
291,577,548,494,465,429,187,227,086,690,326,232,254,033,875,376,418,283,645,
000,685,135,930,407,422,260,663,680,102,301,643,416,472,236,519,647,942,779,
922,551,555,514,072,743,844,492,647,971,979,456,343,485,221,094,819,492,270,
679,262,642,990,319,690,516,518,790,320,727,067,088,270,859,215,747,203,057,
595,425,157,677,306,604,459,182,931,464,533,417,816,066,662,759,553,577,056,
545,511,934,737,798,561,393,190,775,266,471,960,030,618,260,412,427,426,547,
858,279,003,273,380,545,631,313,901,949,083,643,536,240,261,068,791,384,402,
794,687,887,300,008,366,593,029,050,696,997,826,668,605,254,610,943,019,462,
449,609,480,374,604,914,765,395,146,783,767,964,239,329,221,222,322,115,543,
029,844,990,113,764,215,855,269,197,387,102,317,069,585,709,850,573,226,234,
187,985,942,800,287,541,308,855,637,355,094,541,938,391,194,996,355,288,552,
172,383,109,895,644,619,736,016,559,724,724,415,534,028,514,885,045,656,563,
465,761,909,487,373,469,808,340,764,508,293,532,016,916,444,323,372,070,553,
748,267,417,145,119,010,638,255,320,111,301,141,952,828,859,720,041,326,968,
052,304,439,405,611,110,172,290,352,095,433,036,950,972,916,197,833,457,891,
288,130,922,176,624,376,204,766,705,697,147,420,078,191,283,281,244,558,676,
347,836,336,087,655,025,391,652,597,542,644,360,032,366,304,439,703,488,310,
320,186,658,666,548,884,417,891,219,735,296,892,455,629,226,087,384,357,373,
806,102,180,240,133,789,687,249,045,049,415,662,408,447,767,270,830,269,322,
154,389,667,876,827,689,853,487,658,685,636,779,673,423,848,224,528,478,898,
170,847,113,549,618,088,178,735,570,921,158,731,891,925,078,327,680,417,962,
728,317,081,935,365,934,220,108,680,578,887,982,597,403,023,394,322,174,685,
960,262,929,173,242,443,254,425,025,788,477,984,950,523,977,113,191,681,561,
444,964,573,527,585,197,560,892,715,149,489,761,521,773,520,847,569,236,987,
280,501,571,644,319,543,969,829,641,111,971,273,781,293,579,647,514,722,769,
092,747,964,984,458,353,417,849,185,686,858,208,652,173,923,483,919,211,882,
252,536,413,557,516,510,543,159,390,209,463,058,376,009,729,621,925,882,929,
019,013,593,113,177,622,188,767,288,604,190,937,400,152,831,568,309,278,977,
515,138,529,480,087,062,965,296,208,770,270,722,191,470,470,600,481,623,675,
165,761,786,519,976,362,146,975,909,715,902,598,874,164,826,714,034,429,972,
839,696,095,420,255,555,070,718,357,437,461,143,983,776,611,640,441,002,279,
162,199,183,065,762,861,387,248,686,673,353,224,277,469,385,126,914,396,633,
883,460,409,001,197,187,216,916,510,958,090,221,208,149,612,497,704,627,854,
292,442,336,397,601,363,420,344,010,737,643,534,992,005,314,209,149,961,211,
360,417,669,444,710,916,555,648,720,715,342,951,317,446,060,817,318,753,201,
000,991,963,677,718,275,539,714,630,866,418,582,024,613,122,825,732,131,730,
563,424,650,499,989,636,845,773,795,784,699,155,498,951,162,696,443,320,791,
306,294,986,344,084,670,151,593,986,519,447,547,309,232,642,076,112,360,136,
838,259,501,806,972,169,389,265,565,862,929,986,787,886,157,085,534,299,985,
142,263,664,750,977,981,499,589,035,011,871,869,758,771,155,135,447,351,933,
980,316,572,259,185,817,028,481,053,310,167,802,858,885,826,282,585,996,739,
313,647,659,529,221,890,576,214,842,061,318,814,592,868,958,085,871,347,692,
063,929,471,313,445,215,887,316,989,977,892,556,388,910,475,540,272,324,183,
800,638,846,202,544,349,569,887,413,616,204,849,791,769,159,510,954,778,647,
522,493,267,593,620,252,230,006,504,428,429,374,639,040,127,413,391,311,046,
221,309,060,712,647,216,541,034,451,724,265,393,391,516,803,097,137,178,334,
763,373,146,949,297,225,727,632,808,994,724,686,979,255,189,974,410,635,254,
406,206,140,619,604,536,326,741,783,848,082,066,552,379,311,341,118,823,847,
605,567,579,942,776,147,992,530,342,846,599,375,860,540,001,054,473,974,635,
263,814,562,723,229,871,004,016,218,035,845,355,438,138,659,848,786,233,313,
267,055,847,439,747,454,623,845,619,392,201,910,173,870,607,945,693,543,339,
637,243,749,824,467,101,795,687,277,229,906,000,745,163,224,429,818,789,910,
545,758,777,441,209,206,353,543,072,126,612,581,485,824,862,681,303,677,539,
446,821,848,710,766,607,096,285,004,248,741,918,453,967,785,836,869,271,726,
602,017,879,440,744,148,831,555,571,060,701,833,594,038,295,948,210,049,798,
082,812,491,047,368,196,522,288,209,577,682,019,923,137,218,077,545,137,982,
161,733,372,309,954,478,871,444,754,965,327,079,691,358,578,096,373,574,839,
439,005,431,249,051,518,397,707,437,618,953,197,529,297,305,914,343,933,573,
609,031,338,898,848,467,247,261,436,999,260,644,500,830,837,379,905,704,627,
635,963,266,973,916,894,640,428,348,599,278,728,232,927,760,807,867,458,421,
609,823,125,074,834,668,817,720,190,952,357,214,251,578,286,784,741,808,652,
491,065,398,244,113,339,627,018,457,666,131,639,609,468,339,414,753,861,632,
102,391,754,142,107,183,781,465,082,039,550,476,214,625,478,763,658,969,170,
184,540,698,010,908,113,360,257,235,370,198,290,844,402,875,776,816,231,981,
304,513,187,748,861,016,168,974,386,905,964,490,474,750,390,372,347,471,551,
464,260,644,213,612,079,559,653,033,236,668,794,488,274,606,328,176,039,298,
076,054,352,967,736,677,184,289,077,911,952,162,325,241,764,085,719,037,903,
446,038,129,258,976,588,454,791,675,727,136,668,139,648,434,555,021,484,471,
108,147,756,374,779,810,821,213,438,404,416,078,711,125,197,943,938,946,704,
025,190,326,415,631,864,919,206,883,544,798,316,971,465,921,639,985,992,633,
693,441,297,915,723,936,284,020,513,289,918,451,863,511,249,648,233,290,935,
487,146,358,611,479,177,019,005,282,354,410,856,487,635,679,587,790,599,755,
198,493,170,357,336,623,093,975,781,956,114,508,302,117,606,929,986,439,038,
107,211,581,762,396,270,005,892,450,363,291,404,608,611,270,086,537,004,547,
165,504,849,284,512,952,099,450,976,145,571,337,265,101,545,428,975,572,645,
807,517,883,467,405,430,018,031,042,536,658,556,618,913,799,198,073,064,075,
900,481,707,515,642,692,923,348,448,113,767,003,529,890,710,800,279,752,873,
956,996,712,212,328,641,218,296,501,575,331,265,557,079,363,292,356,269,241,
324,933,453,630,557,604,653,796,765,812,116,358,988,798,473,496,609,252,389,
252,262,996,307,741,356,556,596,659,390,544,506,556,175,566,259,326,550,870,
342,064,221,060,261,613,691,447,980,033,221,486,236,515,120,958,005,259,562,
907,951,144,363,929,993,136,449,648,124,997,801,026,186,719,050,343,125,981,
804,346,040,063,931,986,544,919,996,287,500,264,322,701,351,978,710,434,532,
822,381,556,120,265,875,101,139,630,628,552,131,307,456,247,300,184,238,005,
928,121,473,908,444,797,822,801,805,829,885,538,639,009,855,450,953,998,593,
623,690,158,969,324,451,946,988,151,576,575,441,799,346,305,753,922,707,614,
009,783,569,223,333,849,830,382,464,060,116,045,454,527,631,595,210,789,086,
171,203,026,127,853,591,936,701,900,107,675,607,489,574,002,075,889,019,847,
593,345,528,097,541,587,758,468,842,115,045,676,372,327,682,770,497,095,116,
871,020,562,588,468,438,701,446,247,858,812,700,839,274,730,210,811,708,142,
809,392,736,008,245,256,944,040,075,811,066,588,797,370,957,341,823,207,358,
903,997,879,117,153,779,092,526,575,885,680,116,458,220,408,830,198,436,191,
299,876,843,028,983,669,715,614,536,573,306,305,771,764,989,984,120,549,460,
917,861,235,742,084,210,864,702,458,429,599,901,188,905,547,229,417,978,614,
047,174,658,676,695,062,908,080,882,077,762,846,795,309,326,408,460,845,146,
807,913,309,302,363,996,392,438,791,046,915,154,209,800,612,019,364,706,588,
612,954,526,775,905,533,603,019,996,865,634,500,112,823,716,969,044,695,272,
509,689,027,069,845,894,103,896,381,529,263,342,833,075,663,346,564,154,279,
356,714,038,812,565,107,738,270,143,616,284,845,290,738,507,891,179,026,090,
632,309,948,788,577,091,915,425,821,409,129,589,765,417,124,110,526,263,088,
490,416,890,520,102,822,191,897,193,044,655,526,792,475,303,223,881,508,927,
504,184,640,065,934,315,673,759,092,746,080,030,133,777,613,029,353,058,862,
034,772,637,931,691,881,270,207,291,170,437,471,378,477,514,074,939,537,670,
598,126,843,994,489,285,496,828,749,700,757,584,914,065,685,651,885,666,296,
028,578,905,992,367,873,571,972,003,307,145,576,613,106,363,237,134,730,796,
414,583,200,758,786,477,750,745,916,492,834,510,084,259,147,146,419,738,060,
203,603,714,111,241,778,606,709,140,095,096,567,201,338,702,277,616,724,645,
416,924,359,627,105,937,415,476,348,697,645,417,673,291,563,911,862,898,074,
497,521,911,145,876,776,948,681,055,222,319,576,136,837,720,403,381,782,275,
492,987,084,306,557,399,825,002,086,951,145,943,672,456,383,684,303,234,424,
729,064,405,135,982,262,485,779,052,123,282,406,713,783,072,333,715,476,952,
185,677,331,665,566,931,175,673,394,499,132,288,718,026,209,725,246,763,943,
761,855,554,933,048,741,578,329,730,730,501,388,754,167,895,240,403,464,187,
147,582,660,834,626,738,816,884,548,726,688,631,615,475,372,231,845,003,705,
860,132,908,118,371,418,034,636,805,903,186,085,404,738,704,754,189,174,589,
515,944,752,106,642,616,140,512,825,799,880,875,910,329,145,884,032,481,940,
503,664,565,342,066,774,567,884,711,080,544,073,541,534,761,284,733,853,483,
258,081,081,605,815,370,380,118,562,613,034,904,708,011,701,576,138,400,001,
444,869,604,747,687,036,367,190,717,120,343,062,860,857,679,961,264,301,130,
930,272,629,762,675,193,539,648,737,011,825,222,948,785,651,201,759,584,734,
332,840,652,642,299,654,571,800,318,605,695,667,610,010,111,815,574,326,958,
595,374,871,288,383,765,374,669,661,344,896,100,852,174,636,893,586,588,907,
121,015,763,376,383,440,632,568,328,354,013,019,671,140,883,461,113,470,530,
216,278,815,805,903,175,037,992,377,459,065,080,198,351,169,776,474,035,546,
552,960,025,620,659,226,106,447,915,374,819,440,452,229,739,861,400,762,590,
303,286,765,391,202,692,961,256,596,603,881,578,478,894,216,568,246,815,777,
672,191,186,662,950,183,485,005,558,672,070,464,447,014,842,763,399,097,156,
481,179,817,564,254,639,688,252,088,417,218,731,326,420,789,929,193,936,854,
214,578,513,570,784,733,666,812,656,230,352,187,611,370,020,666,092,675,596,
577,692,885,302,205,068,994,690,842,129,778,822,078,975,777,355,246,424,770,
475,886,195,467,928,701,090,434,230,309,654,308,914,885,596,867,046,996,615,
147,607,292,717,615,550,677,152,452,762,265,353,909,990,131,343,966,095,922,
796,297,006,469,030,566,548,118,494,888,747,626,260,611,496,186,647,754,047,
060,560,644,884,539,170,614,548,592,377,076,976,984,617,898,118,193,460,023,
621,441,847,615,733,488,891,873,376,834,501,979,312,198,300,840,499,962,562,
634,728,968,523,190,416,471,672,087,611,721,609,137,893,455,682,464,829,732,
866,269,295,151,491,703,076,336,555,064,284,357,148,664,074,770,015,711,859,
814,576,724,695,054,166,207,927,950,893,346,356,583,968,089,057,532,871,662,
055,220,126,134,656,892,541,123,642,813,272,758,411,763,867,711,837,040,969,
566,239,288,389,742,788,783,521,232,705,981,524,618,280,624,556,962,902,561,
888,435,162,788,440,026,146,776,772,020,890,992,046,517,188,728,188,734,288,
759,340,124,471,462,608,017,830,307,362,275,764,272,628,968,215,739,031,367,
775,708,713,583,809,941,827,195,217,712,000,870,086,164,669,914,739,514,176,
434,350,541,411,596,740,180,126,192,195,431,124,064,646,143,769,481,380,095,
569,790,181,015,271,028,829,598,604,118,329,942,322,166,164,509,623,152,182,
021,246,221,114,818,449,238,949,670,025,353,647,615,384,861,801,658,372,723,
719,838,676,844,044,720,628,796,673,266,481,111,442,928,504,275,961,978,855,
868,283,001,701,124,265,513,106,855,470,874,764,469,088,082,545,148,935,982,
041,351,539,296,985,164,029,304,743,292,579,558,388,393,925,377,253,512,811,
071,540,346,697,390,117,621,623,382,751,536,124,094,046,967,084,483,651,498,
105,659,690,998,921,495,667,772,027,572,894,163,953,615,624,644,810,751,401,
731,977,526,811,190,279,942,986,341,901,202,614,461,767,961,400,247,820,929,
018,865,820,497,202,468,699,059,211,613,401,705,202,722,023,319,651,360,102,
931,199,097,132,898,801,423,066,497,996,499,680,612,660,569,736,361,442,021,
284,392,148,280,065,760,531,618,824,180,654,175,600,274,852,694,113,203,267,
009,622,592,114,405,546,831,037,666,906,542,151,740,275,802,271,376,536,993,
235,175,785,226,209,309,566,515,156,827,963,282,069,078,545,191,733,643,102,
031,991,424,093,913,385,096,881,599,862,414,646,188,464,020,418,344,286,829,
609,780,820,865,962,135,112,039,016,876,584,743,425,278,622,471,951,225,492,
287,170,400,819,510,851,239,676,544,005,886,273,672,861,818,941,377,717,226,
490,253,207,751,363,893,932,812,677,955,077,690,956,168,557,012,852,955,541,
544,832,450,627,596,707,913,209,173,878,316,456,303,582,617,236,840,200,139,
381,952,590,003,745,011,704,913,715,241,999,491,685,173,294,168,529,911,594,
693,718,756,473,892,587,247,295,471,294,109,613,296,579,750,870,054,019,921,
050,146,519,713,039,229,643,174,645,139,902,307,097,326,791,978,659,070,212,
818,127,161,224,582,272,988,793,620,490,495,938,798,192,290,598,238,133,796,
537,295,351,186,250,731,416,380,166,628,549,192,254,578,094,546,771,773,515,
437,577,377,975,205,556,590,600,154,609,145,298,466,260,000,476,233,536,168,
061,868,813,394,754,651,418,267,155,690,010,560,484,204,744,641,975,371,464,
881,057,047,946,584,373,468,681,758,754,337,705,203,805,575,705,259,488,477,
820,846,260,827,945,491,025,213,254,404,243,759,331,102,905,491,132,869,297,
481,601,960,028,477,389,921,278,278,623,076,373,656,498,078,542,917,461,307,
082,729,916,520,494,879,005,546,342,621,832,461,239,868,191,218,019,051,910,
462,096,702,766,679,663,579,294,546,172,240,432,415,770,615,056,057,922,414,
921,816,733,789,963,547,650,384,068,122,306,455,656,354,892,701,460,734,419,
055,692,257,003,321,450,934,343,472,516,208,574,308,199,165,093,114,784,302,
563,462,762,073,257,656,486,819,800,216,874,721,239,492,611,231,673,208,646,
604,680,185,176,587,809,229,005,537,205,402,246,626,238,107,894,963,686,508,
710,971,322,160,119,253,791,532,892,634,223,087,142,859,076,932,159,761,364,
281,293,193,733,284,953,871,868,648,964,892,751,422,912,943,740,509,830,925,
476,507,311,018,588,797,120,112,588,287,792,171,001,202,615,350,925,727,512,
316,984,629,512,039,116,324,128,032,359,126,627,981,832,558,249,553,515,422,
678,689,120,893,114,803,648,624,394,400,597,098,524,979,387,035,590,803,184,
068,778,864,463,422,767,822,033,304,572,149,411,539,244,206,808,346,299,024,
600,755,944,199,153,570,865,364,762,843,472,783,244,599,968,749,283,672,900,
858,578,743,245,610,565,846,742,404,226,657,855,801,362,557,873,928,416,090,
158,145,598,724,240,008,187,106,740,505,643,619,716,036,063,998,328,856,056,
675,911,826,034,166,222,160,531,924,827,719,188,982,319,458,807,349,765,874,
051,862,295,270,276,373,909,645,745,080,404,453,279,979,150,792,791,775,167,
628,602,715,698,825,805,042,828,299,525,307,525,045,757,110,807,474,273,649,
947,276,040,441,111,180,724,531,376,701,940,195,992,698,581,793,668,355,706,
271,664,914,035,627,301,255,675,551,566,309,425,875,479,489,881,919,904,774,
312,665,919,070,669,904,111,045,545,692,916,706,586,537,605,239,022,315,384,
058,244,401,387,319,268,477,039,667,672,634,418,803,043,009,920,891,530,379,
142,554,331,420,207,118,854,151,366,706,896,914,446,108,733,717,314,172,056,
909,479,948,368,075,992,721,718,059,851,044,795,600,072,196,985,988,888,011,
459,332,336,117,846,337,478,899,422,468,898,173,754,812,191,198,976,978,239,
913,486,687,232,880,979,343,636,458,481,566,853,751,709,684,307,779,136,462,
773,787,782,823,311,035,687,840,045,554,506,978,390,431,995,255,064,192,948,
702,958,478,708,049,683,895,363,106,143,935,593,438,699,169,156,547,527,900,
365,174,271,478,757,378,432,875,327,621,538,572,882,853,745,602,401,660,907,
777,815,123,239,658,495,345,900,118,299,526,474,212,954,872,250,274,828,534,
558,916,292,069,573,146,599,778,848,273,002,582,768,748,349,240,329,817,383,
208,860,638,373,568,192,291,160,976,461,729,876,656,651,368,539,985,176,489,
598,148,722,104,143,755,453,617,367,355,704,577,065,690,494,965,929,402,030,
798,736,073,384,112,156,618,142,987,461,919,672,316,079,150,223,473,317,028,
865,478,488,830,267,657,834,809,437,161,945,377,650,839,750,525,034,186,290,
259,666,141,224,279,498,041,927,739,481,759,564,578,324,671,869,340,311,511,
821,947,659,688,597,645,710,588,625,917,123,250,444,292,150,214,137,958,124,
170,839,572,118,254,356,293,798,065,795,421,926,629,947,208,433,268,772,419,
454,250,123,245,867,187,840,508,751,188,197,935,792,954,253,871,600,055,766,
564,055,578,491,434,896,133,376,915,844,547,946,991,901,766,333,772,635,536,
934,639,745,339,015,623,959,202,470,518,823,258,566,526,810,064,399,186,344,
482,136,669,245,927,025,544,301,252,634,547,059,655,158,964,852,168,112,992,
186,159,799,509,697,379,739,625,929,113,466,767,876,864,249,882,153,877,260,
699,466,808,120,413,769,973,704,447,368,164,098,630,245,819,702,783,695,213,
186,224,792,112,175,264,368,197,369,180,548,714,707,926,917,298,128,205,206,
420,601,285,086,324,078,830,760,372,908,611,227,464,498,244,768,714,853,064,
674,728,320,753,020,859,731,734,852,759,035,785,903,172,422,137,796,890,963,
936,510,545,849,538,922,861,501,568,468,996,477,728,596,862,441,396,497,095,
762,257,334,076,976,808,839,500,281,313,887,148,059,572,605,774,347,796,523,
071,283,861,227,363,466,888,541,650,118,456,050,363,659,650,398,051,438,179,
269,863,812,201,903,367,559,538,920,779,151,681,593,569,253,043,272,527,576,
470,640,536,309,087,365,823,027,706,669,702,904,885,016,717,414,378,869,522,
327,685,879,153,628,943,838,047,415,378,974,556,830,406,344,958,183,609,041,
280,056,390,615,776,754,565,318,282,989,057,309,606,520,061,629,148,237,638,
224,474,605,089,806,328,690,401,222,892,593,685,942,780,414,341,687,788,481,
808,370,752,034,173,508,793,900,049,809,576,101,894,413,655,144,261,259,726,
343,522,562,639,079,517,073,823,202,380,438,168,927,803,986,760,647,402,765,
281,171,671,811,485,621,392,646,769,815,001,759,741,644,149,392,220,183,068,
315,048,087,358,141,375,661,589,455,537,412,814,473,156,866,412,014,474,953,
799,318,493,640,367,413,031,640,976,406,854,752,850,091,760,869,050,744,175,
810,750,609,715,581,756,470,785,452,408,733,796,434,313,928,944,966,214,171,
814,459,508,575,197,268,524,168,678,697,526,446,887,108,812,669,720,356,817,
479,275,507,413,723,910,265,397,442,193,970,105,677,669,690,030,481,548,155,
960,763,181,722,406,366,643,118,850,160,013,123,168,394,479,602,618,105,773,
716,816,643,815,608,265,899,852,081,033,898,686,239,215,523,038,184,857,178,
819,214,248,839,259,517,357,216,691,959,846,797,697,019,691,735,653,524,135,
047,819,747,996,577,565,763,415,325,338,313,668,623,377,295,043,533,172,155,
690,606,568,433,789,132,704,832,813,685,427,851,861,868,397,018,431,467,901,
300,264,945,953,292,895,463,804,519,476,409,898,296,896,090,035,494,090,453,
047,146,955,625,176,650,280,917,142,401,271,194,898,593,731,003,498,752,722,
717,353,461,085,515,648,394,057,411,368,480,272,533,742,237,933,317,914,748,
458,247,863,148,536,802,384,010,337,146,172,403,339,601,788,013,786,947,750,
784,494,889,691,140,180,261,302,698,298,995,477,687,630,349,322,551,810,760,
241,190,039,917,874,028,217,699,791,708,401,181,237,890,281,821,182,559,341,
317,054,079,234,817,517,984,872,520,709,599,949,810,678,089,512,516,804,272,
828,511,972,720,001,310,736,781,849,553,813,038,546,657,237,960,603,328,067,
850,074,359,011,601,842,191,178,640,377,206,109,859,306,921,178,296,925,683,
525,854,367,378,095,793,828,525,741,303,937,737,556,099,221,735,664,035,654,
559,512,531,849,334,786,102,305,862,345,701,241,122,724,214,603,902,966,189,
203,908,116,542,726,683,127,447,049,873,631,574,074,756,139,710,132,812,214,
737,272,154,625,499,046,382,991,259,523,660,451,944,909,465,949,283,487,267,
555,915,860,548,055,653,094,878,984,389,387,624,532,660,212,202,601,855,814,
163,669,422,756,711,983,778,540,121,845,788,566,624,519,613,229,464,196,164,
594,819,201,421,603,826,873,519,450,959,934,714,263,748,164,399,155,556,303,
702,087,964,926,995,833,624,424,605,215,501,142,093,953,526,774,729,024,236,
992,531,177,544,455,994,298,083,100,116,020,459,114,702,734,597,219,219,981,
271,116,709,386,738,170,433,102,084,830,095,272,437,922,028,863,329,163,653,
484,130,805,394,467,110,735,982,292,635,975,028,650,818,599,368,558,567,240,
383,538,388,239,691,877,585,748,238,073,742,978,801,051,504,190,892,932,248,
324,985,347,671,883,185,015,697,806,640,644,016,179,802,008,722,953,761,970,
653,287,668,308,506,174,558,507,007,787,713,613,532,179,192,367,870,651,711,
585,395,760,732,684,090,528,766,906,734,143,185,691,456,031,782,264,182,539,
017,508,122,757,954,247,724,169,973,340,379,116,572,644,988,304,327,000,367,
741,182,863,476,022,962,795,870,838,015,747,777,784,149,219,652,541,218,115,
323,925,191,911,800,913,577,539,121,779,440,528,202,720,792,400,007,249,615,
022,182,176,590,386,009,635,301,861,279,892,533,676,412,078,606,332,900,171,
280,428,509,273,654,416,208,872,099,104,947,508,027,408,502,998,253,056,336,
047,230,089,934,882,334,817,158,274,210,550,155,236,908,922,865,860,707,825,
203,313,510,222,751,556,983,329,946,059,014,229,686,495,574,477,700,667,127,
552,489,928,582,095,283,327,668,166,432,528,504,706,819,511,250,217,950,316,
775,141,702,616,924,438,874,985,606,406,686,698,616,796,716,639,721,483,011,
339,357,880,637,753,878,341,215,003,826,019,561,202,838,652,451,978,327,183,
933,499,276,457,128,728,175,797,145,398,260,196,878,720,088,948,719,762,114,
225,162,157,474,657,902,308,586,657,334,177,809,148,871,416,071,660,733,405,
821,053,773,380,669,499,170,460,445,851,410,560,790,060,106,911,343,484,459,
237,929,816,194,704,102,488,286,850,163,955,446,576,711,048,686,112,296,589,
962,431,460,433,650,399,538,044,602,270,489,819,327,857,436,627,494,294,134,
727,851,905,016,112,921,787,061,422,841,393,446,299,207,605,753,793,727,612,
432,739,620,656,094,947,401,529,975,590,388,271,013,021,334,989,462,883,512,
823,341,978,037,120,964,357,757,907,832,557,888,831,798,243,495,581,539,747,
227,123,455,313,099,708,655,061,241,377,981,059,511,314,719,097,128,375,435,
398,154,156,549,663,757,222,681,159,013,069,064,875,999,152,637,846,404,451,
304,710,990,493,646,095,936,005,905,266,493,055,612,599,900,642,816,530,259,
833,831,743,767,758,227,681,147,465,574,373,148,596,254,315,298,623,089,154,
030,405,103,051,429,234,465,986,415,723,104,581,760,717,143,436,633,963,550,
801,630,309,410,782,314,835,825,159,077,491,714,669,517,741,157,699,919,154,
994,015,813,108,532,818,259,555,537,745,569,877,232,158,820,125,565,411,737,
511,803,050,239,634,468,837,153,245,568,994,898,813,342,050,445,862,272,404,
431,223,317,519,402,616,369,669,131,336,510,292,166,384,598,996,902,370,397,
525,696,825,763,880,804,903,559,950,271,874,688,376,948,520,584,768,706,586,
149,997,164,640,196,030,345,874,057,563,026,352,468,782,399,408,373,243,592,
171,791,236,158,937,925,424,603,456,604,352,996,604,202,641,767,096,234,999,
807,995,572,567,711,090,743,713,491,081,740,947,071,282,734,757,327,645,871,
114,800,958,068,141,852,212,239,844,192,459,193,277,823,442,163,985,419,332,
751,713,482,387,560,886,337,468,318,437,250,244,784,750,884,681,665,378,406,
724,063,726,552,045,890,091,960,439,625,723,057,752,528,775,235,053,250,085,
279,598,677,742,768,567,215,777,978,032,086,378,394,340,325,559,633,243,604,
730,342,880,756,162,170,002,847,171,332,406,847,320,715,394,460,291,612,120,
452,425,017,757,602,585,946,714,386,210,727,846,416,316,270,188,728,275,900,
938,983,431,562,785,074,080,635,385,866,716,908,291,358,682,595,985,207,035,
254,601,987,768,069,955,121,197,770,434,638,306,141,116,692,752,575,989,778,
676,581,190,825,333,982,330,606,926,180,628,290,684,682,942,760,851,765,109,
963,216,721,338,045,189,551,826,328,700,409,153,594,598,928,034,491,777,557,
297,786,306,429,312,555,345,254,548,367,205,719,765,737,154,178,014,655,458,
290,107,886,897,246,583,462,116,892,291,658,362,625,894,269,631,862,687,514,
136,512,943,185,509,221,312,940,321,700,329,349,681,208,221,461,982,552,224,
555,271,431,047,551,312,639,700,115,447,074,089,929,939,937,588,588,734,507,
587,602,979,015,003,651,843,695,591,594,296,419,832,074,327,623,707,404,088,
500,963,492,153,580,872,438,182,344,158,662,205,188,134,676,983,898,791,530,
711,069,077,012,110,177,935,590,579,292,281,539,667,117,988,262,507,922,552,
866,629,195,966,217,155,248,394,534,173,170,986,838,617,071,020,690,854,058,
229,256,544,184,260,518,667,003,757,016,715,199,053,733,863,670,356,495,445,
827,859,283,408,198,308,554,457,242,759,139,130,498,890,212,477,925,039,227,
028,486,509,918,520,927,639,535,619,459,870,597,884,403,175,969,213,620,562,
209,404,168,851,937,074,449,245,759,077,692,951,110,912,858,090,591,016,362,
171,949,996,158,970,611,477,196,769,682,132,354,580,169,253,221,734,657,145,
047,890,284,791,680,539,034,336,636,005,430,851,574,082,791,823,933,945,788,
383,911,981,143,045,092,646,478,939,861,915,570,224,821,858,359,728,097,985,
313,124,392,394,600,632,167,099,559,423,048,980,514,843,915,122,012,558,276,
037,140,358,033,466,827,722,295,704,779,173,221,389,085,400,678,182,703,169,
819,431,080,957,801,213,758,935,342,938,692,374,691,731,688,343,437,980,232,
980,881,317,126,922,733,519,419,042,277,417,899,830,352,058,655,798,997,580,
581,910,445,398,350,690,186,208,742,615,480,214,342,604,800,686,486,727,014,
354,294,218,270,782,749,700,806,999,502,400,953,966,958,789,047,180,119,263,
040,099,774,879,854,325,519,091,002,698,476,857,835,283,710,496,910,996,912,
343,531,561,231,581,753,411,491,193,580,670,329,217,063,830,344,753,058,505,
214,801,788,433,868,397,303,068,071,496,479,497,722,936,761,822,356,079,733,
651,720,398,916,477,446,388,695,148,605,467,292,267,066,311,265,905,829,762,
557,563,505,654,896,677,748,217,928,750,690,629,643,363,821,974,543,176,918,
168,418,227,267,809,567,773,267,353,381,182,524,207,647,893,165,309,639,033,
240,533,014,826,848,021,068,808,094,464,113,046,538,953,367,493,266,411,179,
033,785,245,247,324,138,374,001,035,975,100,425,407,798,405,830,503,562,254,
101,839,244,661,073,374,647,948,338,401,908,334,865,419,702,392,646,128,878,
962,936,078,719,233,922,636,431,137,770,373,916,246,571,160,614,812,852,286,
853,789,074,529,341,996,383,687,158,041,051,316,174,748,456,924,456,809,267,
785,457,685,251,532,564,199,108,102,322,668,982,302,159,341,581,101,862,028,
373,368,980,983,981,798,883,883,563,067,591,698,481,618,283,590,930,125,397,
622,435,896,467,015,178,630,476,928,249,690,009,913,169,851,575,928,538,503,
602,716,087,683,490,433,443,853,731,560,052,488,684,330,242,502,098,559,877,
435,842,969,414,163,495,370,019,551,349,276,657,426,371,201,529,274,761,771,
106,538,566,183,264,111,849,103,483,493,973,204,873,972,798,171,657,706,317,
167,928,454,037,773,788,755,638,086,924,155,938,158,400,225,133,249,106,496,
965,390,695,122,663,953,251,275,342,171,760,497,153,070,417,002,704,867,083,
136,463,191,547,151,064,067,366,912,161,439,547,630,179,460,846,818,495,411,
632,291,568,823,669,130,475,017,770,107,923,951,833,712,879,181,854,226,231,
018,241,645,087,919,042,216,383,971,470,972,640,171,505,953,628,275,505,225,
078,458,230,122,996,751,761,144,501,471,479,450,188,971,222,915,974,336,423,
958,600,684,418,790,531,245,057,131,184,509,498,029,021,842,611,451,883,609,
223,983,410,737,437,075,164,854,902,471,969,542,609,269,816,818,996,403,359,
783,301,828,489,137,297,174,230,189,848,137,132,350,615,041,152,410,306,734,
139,802,025,468,958,223,520,667,313,848,515,555,857,375,458,313,904,829,904,
733,026,907,525,341,079,968,524,851,833,048,042,119,803,644,264,743,486,173,
727,386,814,297,177,639,529,518,388,473,667,689,729,071,604,210,811,431,528,
051,937,322,002,724,368,106,134,920,156,681,555,623,886,233,426,762,535,787,
316,829,508,489,665,638,329,893,414,399,247,810,531,494,678,775,070,314,086,
475,491,089,702,494,682,067,027,163,792,506,072,290,979,585,893,576,854,087,
619,780,402,711,115,446,920,826,032,765,050,278,193,043,576,503,407,566,225,
673,477,527,265,339,660,406,735,448,009,197,705,667,709,167,948,551,334,708,
759,494,146,009,986,115,735,306,864,093,097,121,122,354,025,940,167,385,887,
314,271,185,852,838,468,576,387,843,043,609,867,744,363,668,673,555,316,530,
417,549,558,003,929,764,693,214,368,086,350,426,587,139,898,986,127,842,793,
696,761,713,432,428,985,141,829,188,628,261,145,208,759,079,966,556,123,055,
425,206,775,139,663,258,719,245,607,356,463,774,674,454,280,495,751,264,593,
026,377,744,083,201,942,163,555,999,610,590,255,520,286,509,327,085,623,922,
347,045,505,357,880,489,152,779,647,900,858,645,745,043,207,905,808,193,842,
016,365,540,496,255,045,223,734,445,618,112,025,908,098,855,040,072,964,576,
839,949,550,436,068,093,203,948,486,785,108,777,268,758,166,773,897,244,906,
548,753,064,184,470,437,548,142,590,451,086,403,538,953,885,216,611,081,331,
895,408,511,161,206,280,665,438,368,031,557,207,130,834,806,024,560,518,470,
999,792,472,930,386,750,453,937,397,428,560,089,583,875,805,068,265,859,800,
501,471,324,988,415,879,039,127,079,133,399,872,007,444,727,545,421,401,585,
742,778,366,621,688,548,939,382,402,797,892,560,146,334,002,593,597,125,348,
225,249,435,713,351,171,275,451,755,059,854,025,984,271,993,153,110,514,317,
844,869,007,466,381,903,519,812,439,375,929,119,126,087,527,042,039,337,889,
345,310,016,639,248,067,982,664,035,266,178,988,774,022,724,226,989,490,627,
627,181,565,137,365,792,899,135,659,615,711,813,525,696,754,359,895,163,424,
551,020,903,783,808,326,532,383,991,807,338,231,649,610,781,400,106,814,730,
511,595,707,822,240,593,578,594,713,960,229,417,592,262,917,505,930,776,661,
364,122,410,598,877,699,116,003,409,591,421,599,794,027,339,923,572,294,767,
870,538,424,785,932,798,596,436,274,115,149,001,996,330,757,905,841,290,663,
374,054,835,703,675,814,890,981,568,150,099,286,559,619,924,677,624,137,447,
461,349,197,214,401,444,531,519,304,493,719,952,860,879,976,923,193,270,641,
387,315,813,612,873,933,165,870,340,693,650,096,280,121,333,019,807,737,434,
233,700,163,065,642,998,920,966,594,986,971,524,125,135,924,945,733,302,221,
482,408,819,366,235,240,869,386,590,830,298,904,706,752,421,612,465,900,569,
012,397,068,943,896,362,824,368,558,823,844,508,453,084,266,042,687,167,437,
869,815,555,496,577,129,138,660,006,205,370,558,465,344,545,583,601,955,774,
518,544,649,510,780,882,384,103,311,805,987,095,930,344,097,104,969,319,166,
363,263,696,896,852,663,297,963,929,586,707,579,625,292,021,969,743,386,593,
153,030,724,894,978,476,180,997,803,091,817,821,701,815,781,483,235,586,864,
499,216,903,581,407,974,556,378,661,942,572,849,863,016,602,833,511,462,127,
723,260,900,678,317,257,257,718,727,540,883,253,304,502,665,568,730,825,053,
757,305,357,364,939,950,396,767,603,666,049,816,536,822,371,626,975,700,586,
894,396,494,334,783,721,299,966,419,253,724,469,351,391,484,228,199,470,960,
156,422,081,531,726,933,527,521,393,490,692,540,028,072,367,034,854,911,474,
319,783,671,309,163,222,683,597,185,427,367,137,303,557,883,256,664,008,934,
112,834,696,044,082,723,882,720,203,164,165,270,586,675,214,762,561,782,268,
505,747,204,542,596,314,348,008,045,926,467,514,914,055,738,297,003,954,155,
433,292,176,695,016,550,621,562,202,118,081,021,317,426,425,393,113,230,088,
840,855,985,511,009,914,458,229,075,195,025,616,912,126,146,172,433,382,622,
362,755,904,000,636,066,478,197,746,081,165,599,496,225,828,438,255,637,022,
598,820,970,097,132,639,402,749,560,609,825,255,996,825,675,634,243,774,812,
030,481,435,646,734,288,569,933,388,027,032,488,436,679,361,366,229,923,790,
139,417,986,700,445,973,482,878,358,883,946,821,129,136,894,276,411,114,936,
582,936,887,377,844,174,654,696,371,183,043,458,901,821,109,911,983,237,938,
591,356,391,120,007,301,862,266,347,176,372,883,411,110,011,828,851,622,630,
206,775,702,238,135,534,806,294,834,799,984,054,204,674,839,448,102,896,433,
505,514,953,339,477,267,834,072,864,780,414,436,895,260,929,753,184,117,177,
516,947,855,616,082,172,440,890,989,560,061,513,556,674,760,714,451,759,546,
721,798,483,392,409,383,480,530,041,618,701,902,530,333,470,710,585,649,619,
838,378,786,291,092,189,502,724,218,924,597,502,027,998,560,845,074,383,931,
119,068,370,004,773,228,203,328,005,942,828,987,129,223,461,512,765,537,264,
751,077,376,140,764,636,892,180,657,051,652,194,444,423,239,468,832,807,523,
070,650,448,529,069,342,117,461,966,333,929,257,822,684,445,874,960,521,177,
294,791,655,231,812,098,990,882,247,800,303,909,610,732,210,089,479,545,477,
532,672,867,565,627,452,179,240,874,878,863,867,970,802,869,390,770,202,134,
515,526,252,865,554,795,658,667,513,587,363,310,726,731,657,800,563,306,168,
114,880,855,325,056,750,986,610,609,496,288,737,404,968,975,625,618,106,608,
700,765,937,786,599,567,386,596,126,053,880,435,909,208,135,619,908,349,637,
020,667,109,168,709,068,930,757,011,621,542,423,943,627,329,867,689,976,383,
522,546,356,490,355,004,880,868,270,501,926,228,303,486,496,285,156,963,328,
737,348,800,100,237,088,748,099,909,498,442,216,666,481,696,776,563,705,795,
421,314,875,592,943,063,005,077,160,688,240,483,338,750,074,279,627,002,313,
994,794,602,539,857,632,546,877,300,396,611,909,830,769,117,933,722,462,397,
040,148,788,263,585,098,209,036,347,230,990,458,085,786,367,383,944,857,751,
210,155,660,729,022,345,114,043,897,077,858,471,148,151,967,272,695,060,497,
526,034,085,133,686,806,573,771,604,245,152,943,970,864,613,592,655,100,890,
927,537,263,217,753,889,339,010,803,466,074,027,687,244,843,644,446,648,474,
038,794,025,747,689,104,418,378,785,713,420,640,007,434,760,424,777,228,907,
134,966,598,008,085,948,155,593,509,098,941,344,368,331,146,134,689,962,422,
302,129,057,567,276,002,100,396,419,178,949,878,309,608,063,927,398,918,453,
179,142,338,467,960,057,585,270,036,502,150,003,177,411,783,408,863,412,810,
483,639,427,954,935,757,466,317,536,286,761,661,924,422,721,620,977,150,935,
455,502,583,600,370,903,931,596,877,863,675,278,493,820,274,382,460,511,747,
419,572,478,907,655,835,506,369,147,875,714,913,063,179,427,016,205,239,765,
453,389,157,091,086,206,616,090,008,745,482,102,936,065,395,459,031,639,873,
455,036,616,714,515,525,911,996,039,075,964,352,701,049,348,996,345,446,504,
369,808,236,617,619,724,482,999,470,435,546,734,873,628,983,601,541,144,785,
781,368,584,785,815,735,332,489,759,423,262,105,950,438,989,184,554,550,963,
117,899,713,643,226,781,846,448,777,615,897,749,370,636,299,580,159,449,632,
160,712,967,764,188,877,767,773,329,499,481,013,775,078,799,566,968,467,019,
097,437,168,435,761,474,887,760,278,661,950,604,243,420,998,194,964,690,326,
895,122,122,127,459,309,415,437,832,329,483,599,082,545,082,420,839,117,727,
308,903,663,731,597,793,854,091,756,121,433,333,642,397,058,312,879,550,454,
144,592,640,945,959,488,775,965,364,991,554,738,091,234,793,713,944,868,423,
304,038,227,647,406,398,013,034,772,208,856,617,304,662,067,794,121,840,383,
848,366,833,804,664,152,921,409,384,739,052,939,972,083,023,226,221,519,081,
281,512,422,541,549,990,734,242,877,851,604,236,407,117,420,818,480,027,206,
908,116,519,855,762,928,592,770,396,845,835,681,372,919,706,061,783,472,728,
609,776,325,770,371,899,833,910,333,295,795,847,268,273,197,898,688,290,931,
713,410,905,561,945,652,387,052,033,865,505,084,160,098,374,082,059,933,693,
009,683,505,938,298,921,665,406,447,902,758,198,838,417,885,590,804,662,422,
686,288,278,913,803,979,908,651,851,910,117,922,803,352,833,951,942,073,553,
295,582,197,660,716,391,992,059,941,608,070,399,308,455,943,400,407,827,426,
713,578,582,707,847,969,242,627,170,491,080,084,623,444,815,882,499,120,420,
117,646,409,365,376,181,617,393,870,618,285,268,360,716,949,202,494,540,512,
980,864,159,574,054,408,370,739,285,992,049,865,637,858,062,009,524,400,951,
147,590,527,893,852,192,635,908,569,665,427,880,495,651,510,875,700,839,272,
661,360,965,588,956,163,130,617,320,421,854,454,240,373,479,853,921,323,686,
609,278,266,449,086,194,092,607,002,690,333,175,099,895,453,509,839,505,643,
836,935,234,258,352,996,143,658,742,049,435,297,707,562,230,261,285,826,256,
367,668,609,004,149,966,220,736,324,499,633,042,190,526,790,917,191,472,494,
012,797,533,110,611,158,082,565,408,068,085,357,002,443,416,608,101,495,689,
560,279,368,092,389,890,311,760,143,784,155,204,612,082,826,112,167,557,514,
871,696,644,886,215,344,139,574,243,197,421,869,043,005,979,340,594,408,444,
663,425,694,545,106,532,445,492,479,339,480,945,983,841,716,264,410,021,474,
790,662,283,215,128,313,091,076,046,447,270,858,644,577,901,863,784,012,281,
142,321,412,265,000,017,219,258,311,477,514,766,766,590,372,251,157,399,022,
437,857,754,979,730,090,070,362,839,591,893,918,692,511,926,712,844,675,605,
716,576,314,906,523,001,626,929,896,011,923,538,236,779,659,088,220,927,175,
643,268,356,270,732,317,524,342,458,482,054,006,559,122,628,644,348,661,643,
356,728,891,182,265,233,221,246,264,902,624,240,817,232,836,356,247,108,502,
376,428,400,777,051,484,640,364,817,075,692,191,763,481,422,388,518,463,864,
288,400,944,360,305,166,043,211,470,692,070,623,506,215,366,358,513,824,274,
090,939,427,364,857,377,745,637,957,828,409,877,225,676,683,805,210,108,366,
435,661,121,183,564,859,331,950,849,998,986,432,046,852,338,992,609,931,167,
267,214,830,053,910,760,774,735,420,973,197,186,221,149,039,034,740,563,803,
395,151,663,330,312,521,096,672,801,588,816,715,021,450,979,662,953,706,678,
328,106,678,346,654,204,083,835,082,266,987,304,398,218,808,812,368,685,797,
812,228,179,037,192,018,814,092,436,809,239,594,097,750,708,818,456,002,035,
499,161,107,172,449,441,472,904,719,613,970,637,492,436,664,713,495,565,222,
159,223,180,586,934,257,856,756,519,798,039,155,480,235,864,587,862,449,748,
470,200,790,052,042,994,093,323,928,014,024,644,481,664,143,903,154,449,786,
272,769,215,041,027,347,888,176,584,955,378,664,689,464,663,835,280,966,023,
225,722,502,945,117,072,314,981,764,433,230,281,935,090,014,586,623,167,247,
667,421,241,516,584,875,351,999,352,776,534,641,150,805,076,566,910,801,535,
111,409,006,345,228,981,579,272,395,809,652,865,591,260,433,733,863,889,238,
859,696,851,414,886,075,447,387,633,463,260,705,614,934,583,626,574,177,960,
315,749,079,020,806,646,293,489,842,329,271,842,168,481,692,953,633,295,074,
788,980,690,697,022,760,969,010,371,541,614,289,219,632,992,720,444,862,632,
066,730,792,930,684,348,016,525,408,335,050,828,816,273,370,196,180,955,358,
585,756,068,374,561,898,402,263,791,662,937,286,709,153,324,034,705,911,459,
301,817,074,100,095,627,507,849,562,426,234,067,358,637,687,906,495,085,241,
045,021,834,303,367,084,147,900,044,483,190,151,913,857,510,646,968,881,475,
863,010,021,941,992,147,383,775,430,568,050,707,303,735,472,670,343,635,708,
002,785,172,383,161,645,877,153,829,348,389,331,844,346,117,041,339,838,076,
521,791,248,998,514,188,362,722,346,107,414,033,186,395,781,863,696,931,841,
240,165,481,518,740,676,081,508,032,315,756,151,989,426,034,408,286,919,437,
587,381,581,595,884,905,714,453,365,383,057,792,162,313,752,620,101,579,010,
629,791,900,258,565,922,595,962,774,504,615,148,024,842,932,760,852,116,874,
479,808,782,422,217,102,545,844,084,485,090,992,985,889,658,825,984,045,520,
272,405,131,620,488,150,749,303,266,172,479,441,151,079,918,582,577,429,338,
195,233,709,788,976,889,228,299,801,115,882,499,177,886,489,242,239,063,491,
722,072,560,576,368,659,739,647,667,691,625,074,234,887,344,953,560,107,046,
431,982,674,852,824,281,357,431,525,060,591,034,938,215,974,454,468,126,882,
990,828,769,356,011,078,132,882,943,457,787,443,528,043,350,567,922,255,270,
552,051,017,275,477,557,008,001,397,011,522,737,302,032,260,379,901,082,483,
743,360,321,287,107,466,041,452,747,190,768,996,459,184,021,066,068,145,837,
051,851,650,004,466,239,619,625,625,188,244,534,485,055,119,054,878,371,385,
380,342,168,221,442,038,389,280,450,414,206,057,506,990,107,468,660,417,512,
508,195,852,224,346,333,709,355,700,021,715,351,842,191,800,872,982,837,671,
657,805,636,590,347,558,955,458,332,643,875,700,678,350,110,554,909,085,630,
962,193,771,776,115,352,218,718,289,651,087,550,901,247,732,689,681,961,494,
833,029,560,586,935,617,640,522,912,449,056,292,544,660,956,024,739,416,560,
174,124,225,007,139,165,749,319,552,729,507,160,220,411,518,272,536,454,305,
577,508,587,882,786,121,302,820,364,907,799,174,668,697,069,612,355,704,662,
549,643,062,562,316,200,491,468,758,621,080,048,321,502,959,203,411,609,478,
725,668,736,010,525,404,907,470,828,376,451,117,451,895,927,514,552,932,548,
924,479,031,579,680,054,256,482,449,763,930,316,087,905,253,882,672,315,738,
980,173,365,810,990,987,968,875,890,709,592,759,279,223,364,334,224,345,761,
562,765,520,325,379,857,705,886,614,460,592,085,695,035,532,542,796,672,697,
724,631,215,866,172,118,548,562,181,143,538,224,260,160,323,465,489,064,171,
856,517,515,409,886,988,108,859,748,185,916,612,521,645,653,883,747,109,151,
187,482,414,634,117,145,395,123,801,667,870,109,593,447,862,429,048,963,309,
387,421,512,494,317,276,351,117,036,081,009,829,161,016,382,139,328,744,719,
565,417,630,580,005,770,875,670,923,450,946,448,946,756,840,128,735,455,375,
325,570,933,839,408,207,678,641,727,171,904,053,889,343,704,618,869,492,442,
237,184,022,587,954,308,914,881,515,943,758,677,703,338,865,401,906,777,099,
805,593,280,682,463,077,945,071,547,245,700,660,941,991,024,248,700,341,264,
288,688,605,166,969,148,083,476,721,904,985,906,673,312,701,422,198,144,154,
076,363,455,271,479,065,561,475,656,346,648,591,378,543,372,336,059,323,325,
524,715,990,579,555,745,659,524,409,501,389,847,820,032,706,074,487,814,734,
673,987,146,663,223,549,025,568,307,929,287,043,419,964,293,821,295,420,803,
891,313,991,068,360,348,596,700,862,679,909,644,981,385,526,670,004,452,677,
255,108,719,889,064,649,309,707,722,650,067,244,163,804,869,490,889,838,997,
866,432,460,678,424,619,496,181,852,153,146,125,751,026,849,427,673,411,585,
208,755,145,347,762,272,279,497,468,176,799,474,123,647,711,358,474,153,520,
102,195,350,852,956,427,258,008,536,806,004,644,703,136,540,145,914,155,313,
563,249,956,339,356,704,273,493,813,015,592,195,361,162,250,372,374,195,375,
319,176,002,755,514,051,471,793,834,356,286,782,225,683,789,982,118,246,008,
516,597,487,606,764,333,319,215,952,452,105,810,231,132,132,569,053,011,035,
820,230,954,953,893,567,456,904,478,031,511,176,319,580,911,890,283,023,130,
326,599,362,726,717,330,888,173,280,860,620,847,217,929,477,395,179,790,887,
699,105,638,240,122,088,454,465,128,722,955,940,967,152,370,579,727,740,022,
257,093,315,108,407,875,044,526,648,871,457,323,619,867,233,770,615,497,266,
398,867,136,406,965,676,033,261,728,788,285,495,221,609,854,931,793,856,431,
909,390,207,674,489,113,808,421,625,908,845,314,219,693,263,714,511,176,755,
725,392,832,603,783,212,613,160,485,889,229,019,261,145,605,799,820,562,596,
585,822,993,565,263,787,234,369,926,758,671,081,721,047,343,824,272,767,435,
180,535,914,072,154,750,689,406,475,909,655,670,747,377,735,072,182,017,878,
586,857,682,971,738,504,796,536,029,817,045,869,881,193,509,073,063,770,076,
162,447,313,405,530,288,243,129,275,989,425,297,670,058,288,320,637,602,085,
481,116,023,497,930,795,370,313,130,579,751,625,545,285,796,390,348,060,361,
446,876,398,156,046,524,923,540,445,890,504,289,982,534,188,761,384,896,421,
322,115,747,776,188,809,960,457,856,744,163,086,788,764,815,102,032,663,178,
781,551,575,213,846,452,795,653,220,873,671,668,507,453,658,816,355,596,527,
792,555,109,727,360,084,072,201,932,728,705,428,288,681,827,383,139,981,081,
716,529,985,944,824,367,553,749,475,229,693,203,170,409,447,461,075,994,886,
779,618,524,592,266,277,582,312,727,526,353,452,432,982,651,101,501,540,665,
466,425,458,451,123,925,914,357,843,874,499,055,462,109,199,909,404,015,580,
958,999,935,522,546,553,727,394,768,152,825,867,419,574,588,156,188,530,927,
073,111,774,782,186,485,734,276,753,987,233,183,227,475,804,128,691,384,941,
901,639,219,076,943,520,969,679,427,070,829,270,624,362,262,529,624,971,849,
022,955,032,387,194,223,282,602,854,395,352,864,174,558,395,119,567,466,427,
037,765,825,000,579,674,192,393,474,847,126,770,743,417,292,997,094,127,383,
801,250,897,139,751,514,488,013,115,389,320,943,833,698,585,755,884,592,558,
238,114,298,920,646,746,978,624,604,961,998,458,438,175,379,376,515,770,597,
031,158,680,973,378,725,016,262,072,570,495,864,180,123,029,480,349,272,030,
278,367,739,137,595,407,369,375,673,605,800,736,160,913,481,269,607,110,970,
913,368,241,446,031,438,448,761,094,214,651,000,896,404,606,715,194,981,751,
092,999,968,366,560,831,105,897,387,392,080,486,049,738,036,015,828,476,981,
905,232,611,452,440,333,905,560,675,042,530,609,980,068,723,023,552,467,021,
864,290,515,855,498,169,785,558,310,299,810,290,148,080,327,566,796,835,993,
672,652,562,659,919,286,819,816,781,187,158,341,775,872,862,112,070,045,878,
087,888,345,875,931,492,693,222,674,643,052,353,219,251,479,228,787,427,232,
859,452,251,087,987,712,863,099,044,838,388,184,350,792,509,680,226,764,636,
471,185,525,944,607,655,585,185,521,509,251,865,150,070,547,446,197,034,281,
473,705,778,052,149,810,882,762,549,641,427,920,378,284,802,774,745,208,272,
344,338,220,263,479,724,060,472,842,963,282,391,397,393,445,023,016,499,408,
921,001,279,025,790,187,014,257,789,261,508,349,026,317,815,562,864,870,256,
065,592,087,102,587,380,221,311,545,846,497,469,022,826,600,757,581,732,187,
070,578,657,239,203,563,355,886,310,358,386,445,406,685,550,950,795,031,181,
035,859,761,568,347,166,925,482,761,718,117,909,247,851,973,392,878,115,961,
971,514,929,439,856,611,494,087,000,046,676,400,482,194,983,207,407,479,981,
874,183,463,396,141,692,339,962,470,823,042,535,370,027,531,935,587,977,650,
637,793,729,220,792,590,666,182,400,603,955,088,252,609,921,167,576,566,578,
432,268,585,387,403,494,313,339,825,828,814,275,933,691,897,427,593,515,655,
162,622,025,359,777,590,475,847,829,893,689,174,061,662,569,793,465,945,922,
025,366,460,253,266,835,560,660,810,874,269,805,676,152,383,306,863,952,134,
361,622,319,211,310,932,907,721,813,135,784,226,031,628,800,976,470,317,419,
328,863,040,429,375,176,922,268,523,215,769,337,247,174,641,232,116,076,120,
940,160,840,688,218,444,098,780,619,997,012,388,118,903,444,261,836,819,568,
144,610,143,604,521,360,829,296,740,584,678,863,144,772,327,479,932,942,730,
762,989,779,232,124,098,589,930,399,205,113,623,340,784,945,000,733,184,943,
625,133,186,577,341,000,016,897,702,012,881,608,808,224,162,604,251,875,952,
760,443,818,607,340,077,745,611,742,294,338,639,285,774,507,803,924,600,251,
408,002,312,677,400,092,364,997,170,942,909,533,604,956,852,262,504,511,369,
046,647,720,380,156,897,380,752,818,920,480,274,679,522,959,532,810,365,246,
981,553,961,812,778,867,819,294,780,147,086,880,819,315,558,944,868,728,159,
628,360,771,881,039,745,474,750,480,495,533,371,899,657,846,900,270,842,221,
952,683,990,617,387,070,233,895,361,550,479,858,698,058,548,978,141,558,058,
955,449,161,170,251,707,226,540,993,274,602,119,316,403,737,941,150,036,220,
474,119,658,549,902,490,495,947,144,734,239,266,361,683,516,824,006,039,450,
316,103,533,155,712,327,334,533,589,751,387,364,048,815,383,918,358,905,796,
809,449,989,095,753,119,578,377,202,159,629,838,570,672,568,191,279,780,063,
798,406,749,019,777,089,762,807,888,857,558,084,512,368,517,783,493,655,260,
774,401,162,087,396,581,670,654,888,961,257,243,792,916,976,181,284,811,577,
151,886,488,971,296,806,635,330,575,210,515,107,480,528,019,965,127,540,012,
011,582,585,909,645,085,294,387,720,102,833,946,933,987,970,951,820,450,485,
781,381,082,037,911,278,019,526,822,033,741,031,539,432,635,641,260,644,736,
485,138,883,050,703,606,447,258,775,368,893,233,734,236,994,452,593,250,398,
256,927,880,646,971,127,247,251,455,924,462,912,061,476,510,275,969,688,299,
081,830,042,124,815,967,387,797,610,672,290,341,989,133,702,730,797,103,573,
034,031,928,985,167,801,567,615,084,378,590,945,902,054,065,027,467,538,180,
884,426,535,189,180,238,467,733,490,560,182,002,267,716,879,667,626,627,942,
609,400,907,485,019,981,416,821,090,499,402,632,599,447,554,674,213,371,993,
623,198,634,079,831,506,193,242,488,324,668,907,437,208,588,005,768,099,528,
306,169,154,930,568,185,664,296,449,768,894,427,754,004,922,909,364,954,520,
338,182,256,748,443,043,185,275,987,605,219,802,607,207,288,683,483,791,468,
865,952,122,271,213,563,761,265,075,671,964,798,984,780,599,815,942,618,833,
395,686,007,906,105,896,079,091,238,124,746,839,389,197,336,262,903,221,978,
476,280,686,341,228,317,800,388,816,656,871,207,077,483,136,155,333,759,740,
315,565,685,263,396,177,452,038,080,813,690,030,623,838,835,515,527,905,612,
409,699,476,773,469,825,025,244,069,771,653,254,160,684,786,699,932,033,664,
802,673,263,777,436,921,660,517,182,598,852,662,055,018,936,441,722,156,592,
353,932,698,560,164,666,729,454,375,786,591,779,953,658,998,712,025,207,529,
378,583,038,810,479,756,812,074,687,994,163,897,619,383,919,874,936,672,665,
811,826,997,571,879,422,001,561,276,840,517,298,377,209,938,158,148,045,341,
373,507,227,460,119,551,619,120,302,381,491,024,923,827,152,859,363,039,061,
730,892,638,416,357,810,294,173,002,263,532,677,715,610,546,547,590,189,296,
915,464,412,608,261,822,213,915,443,698,912,374,931,148,187,341,126,690,145,
098,503,033,478,251,858,863,987,248,188,393,094,447,131,529,368,734,550,776,
034,213,334,146,057,449,758,504,331,236,211,225,125,192,925,013,661,442,936,
579,078,266,584,807,147,679,696,815,381,327,701,303,674,378,438,164,135,214,
248,985,656,529,271,715,208,127,542,285,450,582,415,428,411,163,332,845,283,
438,326,317,420,668,981,370,724,662,862,378,147,649,077,544,527,549,662,828,
790,711,898,078,169,459,361,940,491,421,282,141,930,206,563,407,374,390,639,
546,743,357,919,895,412,753,594,678,448,533,267,877,185,248,174,995,528,209,
392,893,357,242,439,325,518,065,557,668,625,781,137,511,040,800,220,044,437,
931,098,716,938,531,379,293,209,716,443,806,633,534,005,176,235,187,721,601,
426,133,392,818,742,308,767,950,256,472,888,662,260,442,639,767,932,437,381,
777,906,798,739,796,534,973,086,076,365,534,845,458,864,776,758,160,982,763,
273,822,996,399,656,224,028,134,301,548,563,490,483,857,374,271,011,321,765,
494,411,445,688,699,786,877,918,937,224,019,977,773,037,769,958,666,538,901,
805,683,564,942,647,893,210,530,844,833,456,347,547,609,569,672,416,148,480,
548,766,512,843,325,158,388,793,465,568,496,585,051,258,378,520,874,957,970,
176,467,012,119,039,377,070,238,672,394,569,180,368,006,911,365,677,134,762,
936,776,047,410,484,784,074,651,514,056,271,822,974,123,437,325,571,323,932,
596,498,435,092,571,186,741,729,593,613,536,315,345,343,250,125,084,576,973,
229,057,743,735,717,660,717,337,489,495,591,538,582,118,800,765,978,980,436,
452,414,709,218,391,661,912,032,598,030,205,554,999,390,243,239,257,807,520,
483,893,031,206,443,883,307,085,434,340,949,125,925,380,938,154,443,380,248,
097,256,115,196,923,213,512,149,351,053,805,530,799,623,356,300,384,066,944,
782,529,341,837,826,883,848,820,109,350,228,632,132,099,091,311,964,682,164,
538,617,214,859,920,737,224,554,798,999,920,329,309,484,837,592,296,643,361,
580,556,605,543,041,265,129,481,613,412,786,471,235,694,818,914,625,756,858,
504,192,565,106,077,766,705,849,426,085,147,608,492,661,734,971,937,060,101,
949,899,117,159,148,166,127,035,519,420,845,758,428,418,072,717,023,457,322,
683,741,056,924,552,379,340,802,197,815,755,761,235,972,725,089,175,475,029,
815,814,356,128,029,720,473,675,060,162,132,325,684,796,369,669,605,074,002,
991,297,294,119,824,536,494,155,425,797,396,608,302,149,819,375,362,808,894,
429,070,876,721,624,910,192,655,842,502,938,796,601,252,924,267,033,927,645,
415,473,201,939,393,101,330,106,591,534,436,357,298,656,110,805,729,303,619,
712,140,502,359,547,546,483,569,345,261,373,836,016,641,488,043,699,692,756,
236,554,042,175,211,520,029,724,046,917,654,725,113,744,732,952,528,607,199,
338,411,650,470,175,464,760,145,797,556,694,679,778,923,606,179,189,824,210,
413,384,973,248,521,698,288,734,653,123,629,701,457,524,834,979,661,096,410,
029,961,019,430,658,167,144,442,473,847,812,088,246,791,211,971,169,234,277,
375,955,296,222,470,809,139,210,151,135,227,430,668,154,265,596,839,740,911,
036,293,713,904,048,360,989,632,830,963,781,176,429,911,582,712,660,585,027,
120,940,595,398,932,842,241,500,727,690,857,004,211,684,287,327,647,937,330,
566,046,543,824,523,343,186,168,210,605,351,098,022,530,599,488,820,792,992,
128,839,836,438,069,715,484,914,108,047,683,765,447,417,215,869,299,389,101,
621,821,919,623,338,141,984,626,260,567,033,914,152,125,907,604,948,205,474,
793,312,124,609,541,826,089,718,283,982,998,646,040,341,854,518,946,781,797,
518,175,397,655,228,809,342,124,250,302,067,071,637,934,568,981,443,831,617,
724,536,123,263,521,268,167,226,836,912,739,071,120,688,442,311,543,433,606,
851,970,299,448,182,014,344,845,069,524,456,016,971,232,614,856,555,031,639,
094,833,959,716,281,122,280,942,184,267,897,177,908,278,391,991,789,986,957,
609,009,377,498,315,304,282,960,567,271,096,203,650,701,164,751,053,547,677,
221,644,210,522,669,347,590,174,219,456,319,164,945,992,229,954,987,151,423,
229,120,792,090,091,622,449,752,539,226,963,384,198,197,819,125,170,824,844,
257,817,728,502,665,912,181,375,573,715,301,067,949,824,520,218,015,332,242,
189,375,742,336,728,150,262,288,063,900,709,306,664,013,675,907,678,937,538,
158,029,874,811,388,754,747,607,863,078,196,431,387,269,802,114,022,085,396,
819,309,268,055,853,598,781,615,265,765,883,117,178,863,243,494,733,198,101,
634,193,258,083,707,923,220,029,307,668,019,897,558,538,315,100,443,082,416,
062,626,026,703,713,548,725,936,852,857,258,764,622,676,414,006,132,678,807,
834,650,934,091,618,499,111,456,308,784,971,359,164,528,542,635,221,458,984,
881,118,018,339,637,210,283,607,651,791,844,015,354,771,279,733,620,705,719,
918,455,592,801,954,160,951,252,983,827,886,126,477,698,252,881,073,119,140,
888,784,950,210,072,498,656,107,416,158,256,786,487,692,512,668,133,947,004,
299,164,983,335,454,012,390,753,665,006,945,621,397,363,058,235,343,938,148,
195,058,920,536,401,240,730,445,375,748,141,126,068,779,272,684,168,364,573,
733,781,746,557,087,324,951,523,400,603,042,080,716,133,013,331,028,008,436,
602,758,643,709,114,514,867,406,050,045,725,094,113,918,219,814,094,415,938,
889,536,362,659,946,914,920,383,344,235,817,538,539,866,188,176,711,350,980,
382,272,352,982,734,811,987,443,389,218,765,562,527,777,296,812,010,891,685,
427,532,214,550,373,031,215,429,220,997,913,856,786,475,114,929,225,028,126,
267,330,522,745,982,399,422,205,065,822,806,174,214,076,225,853,849,583,931,
604,788,250,651,301,100,043,940,591,525,525,152,321,132,410,527,060,849,114,
429,284,370,235,836,781,108,397,027,425,944,121,854,303,602,943,194,007,415,
561,923,652,224,437,156,200,280,346,303,845,680,834,729,984,519,933,048,903,
680,686,018,497,890,545,350,192,478,910,051,242,190,192,673,338,518,099,674,
597,531,850,412,214,309,875,402,084,802,264,132,244,480,434,366,822,902,823,
621,319,363,356,501,201,415,886,378,812,954,485,485,413,132,620,523,092,266,
508,420,653,564,981,000,563,394,867,380,774,445,691,656,848,190,116,175,031,
093,484,183,305,601,585,523,356,831,975,816,291,604,260,406,423,292,642,894,
404,280,554,822,485,612,608,342,994,661,465,867,858,513,218,363,017,901,276,
049,496,653,263,336,975,767,404,197,974,125,681,186,657,493,963,651,984,505,
072,447,443,388,224,877,080,724,316,139,570,178,119,389,921,696,400,507,957,
606,660,821,510,137,131,262,964,943,684,309,125,531,926,799,648,252,834,317,
726,802,835,917,910,677,307,703,459,243,326,362,193,202,167,359,745,266,058,
612,851,528,571,225,486,901,187,917,692,196,930,207,553,872,495,573,317,859,
536,447,799,414,099,913,115,937,957,152,164,742,626,896,373,809,916,274,798,
604,018,921,770,952,025,554,248,484,416,500,930,428,348,105,191,264,377,290,
443,126,500,388,593,180,338,680,052,096,990,990,282,438,743,170,901,014,084,
561,025,983,617,104,882,896,676,665,765,416,875,021,532,207,829,620,222,803,
837,272,104,596,838,630,471,767,562,895,649,304,286,446,942,556,398,186,478,
211,119,249,877,000,558,642,302,053,698,463,886,214,654,909,682,130,240,819,
882,276,736,638,180,254,834,959,441,089,614,057,881,743,475,031,986,198,572,
001,715,263,841,979,232,848,324,109,922,140,993,397,345,180,621,073,151,737,
552,019,557,807,956,588,480,291,319,761,795,619,113,395,459,938,688,800,957,
340,332,900,156,311,897,638,483,925,278,394,805,397,169,446,202,584,155,486,
939,215,104,357,490,926,345,581,372,682,565,749,733,610,814,785,271,243,111,
717,455,472,463,589,436,369,193,104,621,738,801,911,972,484,626,725,152,524,
846,499,932,460,156,805,723,651,953,816,344,345,738,652,001,009,711,730,052,
596,098,108,983,751,549,333,377,859,297,524,872,299,246,962,911,085,364,474,
678,927,149,225,978,573,877,000,200,899,253,721,174,856,879,448,397,488,037,
122,259,964,351,284,115,881,975,640,873,460,037,080,943,418,075,726,089,751,
750,195,869,277,036,352,084,495,650,310,929,010,237,295,155,286,569,838,977,
527,944,577,756,376,094,713,297,926,273,797,114,010,896,882,239,504,434,942,
821,008,586,056,376,054,833,058,081,319,192,291,053,552,653,306,423,729,249,
858,289,992,592,553,317,971,448,401,253,754,026,784,030,087,515,105,093,033,
279,777,235,833,654,590,930,177,682,047,288,141,350,859,308,644,071,040,694,
943,108,644,235,362,471,573,511,981,612,932,130,807,590,690,374,383,353,977,
238,488,826,371,242,656,145,176,742,133,227,712,612,197,686,367,073,431,595,
647,622,863,008,277,826,929,003,950,317,815,498,913,899,776,398,455,215,423,
256,064,246,458,743,334,338,574,582,391,133,607,376,460,142,579,174,871,780,
601,795,532,385,080,868,790,451,785,016,981,778,672,979,398,861,857,271,150,
579,248,458,373,216,347,758,592,334,909,588,001,390,235,202,036,093,876,062,
403,844,319,751,743,169,863,864,713,799,489,873,500,163,981,737,954,894,191,
072,867,238,413,103,354,777,904,194,700,567,568,240,640,602,844,152,487,483,
327,720,242,903,615,398,989,356,948,910,036,213,542,992,871,871,111,762,409,
072,660,621,147,199,274,967,326,823,603,919,281,609,010,048,939,963,924,725,
692,028,859,200,212,352,344,070,558,142,987,733,343,915,014,802,958,337,126,
437,815,167,257,126,923,915,377,665,789,027,596,844,123,983,938,400,936,514,
001,662,878,790,731,141,571,916,661,487,293,395,289,813,018,146,758,917,582,
139,224,445,585,693,420,142,515,718,730,876,677,495,775,557,099,647,744,797,
943,019,659,837,593,070,803,969,710,595,546,717,275,874,874,900,251,249,273,
829,589,697,012,447,756,706,148,957,522,666,374,052,482,405,888,047,814,371,
602,803,935,389,356,166,529,960,116,127,185,630,759,012,366,704,201,315,388,
564,766,781,921,841,933,934,859,849,776,580,028,150,591,133,107,248,183,708,
598,340,534,555,598,814,755,722,470,555,649,537,087,089,558,021,049,656,220,
729,654,940,474,090,311,631,438,425,644,876,138,619,414,294,703,311,472,386,
630,104,224,285,237,110,744,156,553,776,156,917,048,286,352,574,361,379,369,
953,971,334,897,336,555,339,826,952,657,186,213,799,417,884,367,102,968,580,
320,237,204,431,096,123,772,734,730,091,924,324,247,372,475,393,059,898,185,
992,100,868,385,834,348,690,791,393,196,681,936,784,733,942,085,305,395,309,
649,791,643,263,315,787,407,844,140,385,694,755,614,208,854,622,775,630,710,
063,847,456,257,394,682,185,954,997,847,507,438,611,123,412,094,000,939,472,
288,026,478,080,995,871,724,454,399,627,012,114,579,056,291,848,481,679,834,
319,992,952,938,815,539,700,774,151,976,186,017,193,902,269,566,870,847,504,
963,914,272,433,465,400,891,089,342,454,187,413,161,749,723,693,355,947,310,
283,052,257,792,634,473,267,615,872,778,196,745,823,629,015,925,272,699,338,
907,039,457,573,524,960,597,262,468,550,197,951,776,004,788,666,330,119,327,
035,045,487,069,188,556,612,543,723,798,042,638,073,658,971,075,077,240,223,
953,844,322,393,921,340,330,060,913,498,298,895,044,826,875,775,134,820,602,
379,410,764,738,449,024,700,510,188,222,579,407,986,711,947,266,535,440,119,
375,633,196,802,431,762,602,559,000,552,191,816,918,511,033,676,746,236,454,
608,664,660,234,891,616,892,960,929,982,698,551,175,562,508,258,032,002,418,
426,701,749,926,724,284,200,374,287,969,194,519,829,037,941,157,282,005,445,
654,185,834,581,200,644,008,264,073,215,584,390,794,828,537,697,303,719,570,
778,483,037,529,896,086,035,885,774,750,975,176,098,184,438,709,062,744,785,
818,166,762,258,796,747,492,908,726,952,280,880,420,937,606,107,772,335,713,
167,089,725,754,381,400,067,046,355,794,094,126,810,441,330,500,401,786,381,
049,640,551,986,273,251,771,273,632,896,818,726,400,393,068,647,294,558,074,
405,670,912,171,536,226,657,475,322,283,781,985,679,216,985,434,818,513,071,
078,452,145,561,678,970,707,341,839,268,687,815,163,008,814,870,150,912,674,
896,060,367,602,232,584,714,942,297,915,177,798,510,620,354,097,568,081,448,
767,930,075,910,557,998,482,308,561,324,390,546,318,998,834,340,662,584,503,
825,101,017,903,212,339,234,403,136,518,357,870,563,266,459,190,255,041,260,
291,639,748,459,970,342,466,943,980,659,010,841,124,964,046,102,480,778,401,
420,726,256,778,059,564,103,330,799,194,025,088,827,966,509,516,758,035,883,
944,294,632,096,258,809,029,810,579,156,222,797,227,583,373,697,008,777,475,
505,287,239,360,373,992,020,644,940,765,735,996,259,981,517,581,714,041,798,
148,983,386,065,052,160,557,225,662,028,454,337,554,110,241,935,398,940,691,
888,806,974,174,772,078,894,611,706,600,978,482,113,656,533,098,538,220,455,
625,272,002,836,640,545,989,061,214,765,846,344,933,153,511,017,660,046,926,
003,943,477,810,192,981,665,372,909,180,522,228,575,759,292,139,700,440,210,
222,763,590,597,609,854,586,749,404,310,424,763,384,794,502,079,882,534,638,
927,627,650,952,696,247,194,358,753,350,748,035,922,911,468,146,585,194,394,
452,400,084,612,313,380,827,027,330,573,374,010,247,556,586,993,725,142,739,
835,839,731,722,983,462,474,200,473,581,604,147,323,556,718,584,502,467,570,
915,721,546,071,877,776,445,619,565,437,365,678,540,466,988,811,850,849,115,
029,502,944,926,567,924,566,867,288,571,108,769,130,977,461,828,773,221,413,
657,964,357,186,920,692,750,568,293,893,719,977,919,365,230,685,461,692,743,
339,974,058,640,220,563,549,800,617,642,103,400,096,526,054,238,332,370,849,
322,599,232,060,517,136,671,053,536,985,692,390,897,544,972,026,685,827,754,
377,015,068,654,996,906,559,484,865,601,407,198,154,891,943,132,696,651,902,
943,657,273,697,474,835,503,398,549,789,774,702,551,414,766,029,402,970,527,
762,577,325,165,507,096,936,709,054,034,457,425,150,818,552,844,667,261,792,
815,006,261,603,235,854,051,311,569,663,443,378,296,982,095,140,967,467,568,
828,416,202,782,486,926,085,985,257,691,496,804,845,377,095,916,639,164,851,
333,449,802,203,994,442,664,951,982,545,158,910,247,353,656,082,147,489,166,
618,409,177,523,807,095,261,281,553,861,020,690,355,208,462,351,644,616,078,
181,819,684,823,267,686,326,750,628,656,536,076,721,362,944,478,993,472,496,
647,393,626,590,416,464,167,858,649,665,532,514,526,777,037,729,750,865,704,
086,052,163,882,774,724,164,067,349,853,272,059,165,720,842,616,197,843,278,
858,085,852,739,393,175,547,087,165,587,034,692,862,479,991,927,899,118,886,
427,010,786,136,304,284,533,612,740,331,150,104,796,626,473,712,646,452,229,
365,979,842,285,730,467,918,037,540,513,312,366,234,648,618,097,467,399,547,
550,154,518,480,513,115,824,076,225,114,640,683,767,501,228,827,920,866,099,
026,263,688,049,169,967,636,682,714,426,487,939,452,134,602,406,862,873,888,
695,094,707,806,810,024,825,333,972,085,059,342,597,991,889,271,585,970,118,
414,083,890,519,270,692,437,790,290,890,135,078,383,495,592,558,664,379,153,
752,976,939,966,584,398,400,682,804,415,693,487,849,467,332,884,404,706,518,
337,800,003,973,162,202,324,669,073,389,635,583,537,182,313,850,744,670,282,
350,517,723,522,308,039,552,020,247,438,510,669,611,988,814,935,193,176,275,
219,781,380,689,367,890,720,675,971,909,211,653,051,851,020,684,042,087,913,
996,403,196,731,710,572,374,701,475,192,693,000,243,542,372,331,309,667,237,
518,505,316,177,705,280,949,578,382,306,269,747,982,224,632,915,353,725,372,
874,544,138,367,845,120,994,239,405,873,103,743,592,700,937,775,989,021,708,
006,440,074,856,230,786,206,276,055,315,799,132,206,559,859,219,703,523,752,
134,531,766,323,074,069,269,608,626,989,278,167,464,873,951,090,388,236,728,
333,183,848,783,744,790,171,563,082,501,770,526,158,473,101,369,788,705,153,
703,377,059,940,054,240,867,037,390,741,543,490,442,824,768,588,704,873,330,
225,160,779,985,204,759,951,337,594,354,336,047,993,525,646,089,066,641,467,
097,260,202,588,607,722,168,256,769,424,272,229,110,804,255,333,101,640,398,
380,483,584,979,243,052,774,515,298,817,688,778,618,895,699,492,381,928,985,
327,636,058,390,063,083,891,874,135,876,302,408,608,381,163,664,647,481,106,
417,235,487,897,381,035,541,395,526,876,767,503,973,925,133,795,520,177,249,
676,760,007,779,422,526,018,525,038,122,572,681,742,298,968,042,853,951,606,
980,878,206,457,672,316,223,337,001,426,144,396,680,143,378,597,213,924,926,
258,098,087,930,899,665,977,680,738,297,274,654,761,452,721,027,521,628,346,
064,324,932,448,101,436,565,656,612,210,879,348,778,860,571,172,439,753,492,
145,525,031,784,253,984,383,764,252,113,399,805,412,869,664,484,765,527,300,
219,486,929,370,229,731,701,301,973,778,147,880,856,466,563,556,266,577,708,
376,565,631,248,054,266,007,073,367,634,771,843,377,481,109,210,351,060,329,
281,537,217,939,133,159,803,307,584,651,599,934,415,954,625,925,319,568,122,
395,513,578,738,905,854,820,057,649,870,640,595,329,994,702,045,725,044,634,
552,518,836,161,814,532,779,992,574,699,293,269,664,882,591,788,163,391,614,
796,929,625,778,987,301,918,912,861,967,795,306,037,709,307,480,029,896,229,
031,010,911,611,375,715,104,664,196,318,742,082,348,989,308,545,637,908,194,
621,165,627,651,209,733,614,448,602,494,175,991,706,481,790,443,466,511,704,
931,899,080,717,490,343,983,482,100,065,435,889,226,145,427,553,803,999,407,
751,744,714,184,692,500,655,594,994,164,096,281,173,536,013,565,529,296,788,
620,983,404,876,991,414,092,376,732,912,101,553,795,372,407,802,048,637,447,
237,761,931,943,229,457,015,412,596,623,547,964,366,410,613,749,632,895,872,
133,682,720,246,986,360,303,215,249,128,546,767,910,480,718,187,322,168,416,
248,518,164,070,937,681,249,844,085,453,921,326,180,271,556,205,766,949,153,
406,736,377,093,684,335,796,509,983,112,020,510,908,679,136,730,380,202,494,
717,625,130,829,797,215,262,882,238,855,951,269,514,449,773,241,741,985,590,
764,452,452,278,040,991,848,497,486,974,430,020,555,244,406,596,351,275,052,
190,687,733,383,614,306,516,644,345,795,271,497,857,710,412,323,858,888,910,
452,604,165,461,015,677,259,946,512,953,803,783,792,684,160,026,825,775,062,
612,239,607,087,072,666,937,053,696,057,516,115,316,381,269,805,267,351,884,
515,742,921,350,613,941,467,079,210,097,696,234,299,482,833,221,498,840,927,
427,756,818,293,638,805,195,551,076,365,194,823,736,312,533,431,127,627,250,
457,466,550,342,574,512,657,071,116,855,007,302,135,937,962,490,816,379,484,
548,741,732,057,809,136,479,874,575,427,903,422,147,786,332,999,737,399,199,
341,086,621,288,766,630,571,647,245,247,382,891,805,896,481,589,627,419,587,
803,307,354,737,613,101,408,655,529,488,848,654,057,096,244,247,846,209,999,
233,189,102,233,244,950,141,032,210,886,765,577,550,744,445,598,684,728,265,
028,656,303,757,689,883,746,826,645,082,347,745,879,402,710,850,877,757,898,
664,836,107,352,674,515,386,594,482,855,054,702,765,414,068,255,820,691,070,
738,356,094,071,644,992,662,339,856,258,946,083,879,762,296,439,582,283,673,
436,521,017,921,128,870,839,136,258,520,999,036,800,615,505,302,499,036,030,
961,520,441,680,368,540,415,803,843,283,908,629,264,780,046,307,648,268,499,
530,766,458,779,842,063,324,165,257,571,164,185,140,105,644,496,793,796,845,
764,052,045,515,051,586,006,002,246,135,415,458,395,763,758,150,450,677,910,
184,110,923,031,539,879,843,591,468,076,020,832,789,425,783,067,967,966,675,
173,901,772,774,103,216,342,037,598,577,963,040,867,175,379,523,913,688,665,
338,509,985,678,147,522,708,333,713,034,012,181,974,183,358,269,821,027,378,
711,901,520,438,397,094,028,235,686,076,781,616,625,658,463,704,276,473,817,
226,621,740,321,673,473,158,631,649,886,329,540,076,502,771,990,524,806,969,
240,613,252,831,242,757,418,761,435,048,574,015,840,084,287,242,792,465,050,
074,944,539,918,872,584,881,818,182,633,841,854,677,658,556,709,129,524,562,
118,818,564,097,839,134,444,674,080,254,137,905,387,650,632,297,355,413,242,
368,654,442,153,778,605,487,954,194,487,891,892,312,260,663,202,337,291,021,
952,795,936,564,653,196,714,799,944,243,651,271,952,797,794,869,233,590,394,
321,691,965,894,981,545,348,427,446,224,315,315,719,621,309,104,575,982,655,
644,913,167,626,985,082,708,507,740,805,074,761,630,569,697,563,047,998,937,
377,902,939,069,307,606,592,374,244,249,213,956,437,503,640,010,873,476,381,
119,201,210,592,525,368,842,107,915,211,892,743,933,153,853,177,262,567,129,
962,338,160,634,356,575,725,612,469,626,256,871,529,944,639,330,903,494,401,
969,600,575,476,021,395,691,300,931,212,759,012,272,201,552,724,312,474,156,
246,128,988,366,239,905,673,241,001,112,568,296,022,754,858,082,593,179,604,
242,335,659,779,900,119,814,466,818,689,633,580,047,304,865,000,029,988,203,
116,733,099,448,122,781,279,002,010,658,986,973,188,846,142,355,691,997,987,
402,856,624,948,465,417,272,144,208,035,084,902,724,169,352,088,602,650,565,
099,011,132,163,085,804,588,191,652,033,560,515,113,756,145,150,042,522,347,
742,391,806,240,508,099,122,731,955,242,534,300,442,811,571,503,434,779,989,
498,143,356,871,736,091,719,027,360,881,527,509,624,956,309,991,452,800,762,
166,796,961,870,516,450,886,056,289,398,536,540,578,455,785,965,133,550,293,
935,310,787,839,921,272,974,423,267,161,786,444,001,254,740,651,077,135,929,
120,270,103,087,835,158,087,984,284,935,680,199,669,446,448,488,099,565,960,
181,789,631,150,237,688,741,192,621,922,729,382,462,581,635,371,930,387,308,
940,778,824,198,357,903,118,517,400,899,589,242,518,188,046,430,956,848,046,
778,964,076,644,585,354,504,175,712,971,059,322,928,966,175,310,050,808,706,
893,207,273,375,371,336,765,714,728,858,880,447,295,010,336,882,827,354,788,
952,108,552,586,510,738,861,745,009,824,509,705,974,472,047,945,026,472,521,
829,316,652,572,643,724,000,498,183,522,184,384,391,836,206,948,939,885,985,
678,812,776,609,146,678,574,958,370,263,972,748,425,600,628,376,550,217,058,
909,350,132,210,893,950,837,660,292,649,523,790,638,315,554,697,061,972,050,
113,582,094,166,285,684,513,017,862,988,420,136,721,510,272,933,834,438,768,
229,544,084,543,169,389,643,298,093,218,273,823,322,957,336,716,141,558,807,
823,988,433,400,299,389,703,747,517,569,074,650,173,321,708,276,755,208,687,
182,572,254,760,777,074,720,653,010,539,023,810,774,312,406,656,716,752,613,
596,033,156,872,422,051,252,604,145,674,928,700,420,103,553,103,865,155,499,
070,811,166,004,182,475,762,306,660,738,355,957,102,444,883,323,212,869,442,
839,925,339,133,267,818,127,584,113,256,474,377,709,648,052,495,529,259,307,
781,764,611,933,044,767,018,699,816,453,295,124,018,398,772,025,758,212,369,
452,494,182,697,865,861,711,785,856,993,184,137,091,631,066,449,250,142,545,
536,319,661,179,763,225,576,048,197,663,321,465,669,111,311,386,562,714,262,
166,262,808,093,423,162,394,294,712,742,427,696,226,373,557,742,418,113,138,
990,762,628,478,215,293,453,505,375,706,649,418,595,101,759,406,049,028,322,
252,698,151,130,437,565,666,337,926,846,430,276,615,237,452,661,915,088,640,
868,591,406,225,216,174,380,913,409,014,980,236,291,810,013,070,144,175,635,
991,376,792,370,616,285,117,382,037,204,895,151,369,352,442,587,679,770,218,
704,716,955,618,749,384,659,657,664,558,083,734,447,379,649,111,848,880,280,
251,111,340,779,374,956,297,785,305,923,176,132,750,535,717,864,509,012,542,
480,739,609,841,287,774,311,810,137,491,949,710,927,840,883,936,227,071,750,
468,568,809,346,299,572,610,694,640,636,391,446,368,910,638,409,823,147,954,
528,155,208,330,679,661,489,549,229,774,818,775,118,878,607,766,564,747,844,
043,380,072,200,345,477,047,967,640,859,831,861,449,740,172,282,374,799,951,
738,738,063,180,262,218,326,722,101,512,928,172,974,747,208,046,389,130,451,
710,451,922,763,302,396,869,466,704,721,959,204,576,471,529,035,941,922,926,
901,533,825,105,980,445,446,147,959,341,284,291,301,122,214,502,582,990,499,
105,415,368,215,531,495,128,462,269,467,894,145,280,064,058,708,893,417,479,
643,438,159,701,992,155,083,429,611,834,655,668,833,953,511,639,915,799,416,
888,968,752,273,218,953,780,452,160,916,399,274,836,806,918,508,726,079,201,
765,824,916,249,779,471,892,498,481,302,918,821,686,829,326,922,844,171,760,
409,074,374,799,228,551,136,015,501,558,368,536,423,273,331,552,448,846,224,
681,622,605,693,609,267,848,132,491,921,072,462,260,804,581,158,762,582,537,
137,653,774,397,652,669,492,900,713,953,788,954,886,440,267,316,903,749,372,
977,131,918,015,206,440,477,687,363,063,635,819,188,141,560,053,559,124,481,
833,020,828,455,966,564,370,607,432,720,695,194,252,126,468,186,868,687,068,
406,894,414,665,860,546,381,024,694,359,773,472,904,812,274,828,793,861,386,
448,435,607,058,878,889,949,723,755,708,816,169,787,697,174,161,914,433,006,
001,862,644,638,198,654,165,161,089,646,569,111,276,551,234,902,020,403,442,
416,565,985,410,863,589,659,938,757,346,279,104,545,007,771,523,341,575,815,
087,820,619,785,351,823,828,879,566,768,127,341,577,685,528,892,517,880,832,
468,741,116,680,974,480,078,924,056,132,226,544,249,823,162,214,092,578,640,
039,887,655,136,537,560,040,732,900,886,717,823,000,309,186,118,239,688,677,
621,089,916,169,159,347,023,910,090,059,192,954,865,098,119,657,504,131,520,
703,600,735,013,461,051,545,377,546,645,095,888,574,629,677,358,739,368,031,
804,904,794,742,821,832,334,483,728,601,435,498,834,696,750,502,025,980,613,
499,657,840,257,312,680,308,235,911,333,033,285,668,595,357,361,692,740,088,
808,424,842,266,338,580,414,286,588,740,758,502,953,577,177,609,014,902,627,
171,720,380,646,417,735,246,377,019,500,739,699,939,173,333,636,685,366,271,
980,706,360,395,395,245,769,525,217,449,198,209,397,037,786,728,833,572,029,
218,489,164,453,229,815,399,110,088,658,893,991,734,899,602,337,066,615,734,
185,424,863,020,128,206,996,265,921,193,856,051,078,432,229,133,295,796,230,
825,868,933,120,826,410,944,974,880,288,115,428,217,508,027,237,697,788,635,
401,885,117,509,100,558,657,917,777,355,477,242,097,929,915,148,961,973,796,
652,491,035,037,339,577,664,336,322,710,066,584,686,980,631,258,490,598,124,
151,076,416,847,837,026,306,257,065,306,426,415,896,023,549,690,771,877,121,
073,741,127,794,883,736,853,744,826,173,528,940,815,535,557,780,658,688,429,
647,057,690,972,486,480,058,294,819,696,622,608,082,898,948,368,580,061,824,
912,316,307,320,088,814,610,698,542,135,404,702,872,150,515,049,426,386,576,
051,180,938,039,051,564,977,126,806,668,005,336,843,936,726,967,849,451,354,
764,752,834,031,418,624,561,862,443,945,206,620,965,310,825,523,091,790,849,
414,954,011,591,549,050,603,396,554,565,332,757,099,487,231,674,063,689,022,
705,636,622,245,095,414,100,852,765,120,772,569,605,599,771,418,038,054,830,
591,759,686,800,523,274,692,840,520,022,577,843,732,727,094,723,235,814,516,
576,836,937,782,621,534,664,906,272,834,949,614,494,846,270,940,784,357,469,
146,336,572,179,966,609,059,385,195,034,608,216,875,985,001,197,607,743,440,
536,559,053,391,334,006,511,153,415,720,847,431,196,738,029,739,476,548,116,
234,936,564,431,954,837,612,637,744,883,211,275,232,806,644,595,043,496,365,
635,228,512,739,000,513,356,411,143,735,218,071,705,404,222,616,462,935,836,
216,574,597,565,245,334,143,496,712,576,489,500,255,687,328,860,252,788,595,
464,995,427,498,646,613,108,199,885,866,279,773,243,829,690,297,556,657,248,
837,358,204,057,932,722,393,154,746,745,381,157,100,860,690,622,519,004,161,
456,908,256,254,652,841,070,343,014,399,841,022,441,064,885,963,724,391,191,
199,131,894,113,031,067,458,361,289,543,634,611,783,042,437,646,792,830,022,
157,059,998,810,180,051,776,170,013,584,067,615,766,754,612,833,175,282,293,
620,110,140,017,765,095,992,711,214,155,055,000,727,515,756,656,750,058,491,
431,893,664,297,029,540,691,947,713,420,574,150,511,608,753,722,709,763,473,
693,418,254,033,176,624,482,406,189,871,131,211,511,932,241,759,725,692,817,
508,541,397,224,110,268,193,264,379,044,976,863,808,561,781,589,474,820,091,
169,105,839,129,211,142,671,616,883,721,955,407,193,229,191,062,662,108,848,
011,794,041,767,909,883,656,884,768,464,881,480,600,834,455,528,674,846,418,
549,600,040,543,906,029,429,424,893,713,040,922,563,873,980,008,924,722,386,
343,381,050,537,515,651,642,761,416,434,716,624,537,575,064,215,322,506,931,
873,192,831,764,082,624,165,739,120,007,689,728,945,510,246,643,506,381,401,
223,459,933,747,480,447,879,847,028,080,189,338,192,328,698,212,662,139,954,
445,494,224,288,537,650,654,306,272,965,900,135,105,082,727,041,320,560,032,
157,262,459,847,918,178,000,905,932,673,705,292,923,494,944,575,649,710,942,
947,693,157,572,562,441,509,059,632,807,834,864,974,087,461,328,736,374,540,
106,570,731,779,704,441,073,371,730,748,849,954,855,802,849,661,757,380,780,
158,151,403,502,223,143,446,712,767,486,230,721,713,845,177,490,437,507,690,
541,623,425,183,771,822,029,024,696,012,872,283,942,886,309,899,282,513,604,
025,142,180,870,330,959,338,116,889,988,378,092,705,144,843,755,096,657,135,
182,290,916,260,639,634,027,384,369,777,389,008,022,983,877,481,560,680,691,
985,705,706,083,497,402,912,352,988,517,022,772,183,024,921,768,078,267,070,
351,273,633,803,960,161,414,405,598,332,269,355,604,838,745,227,621,655,109,
853,560,358,887,094,776,648,847,323,847,006,895,843,905,159,377,873,865,846,
031,959,756,617,673,878,629,218,705,676,572,036,856,665,238,804,685,781,509,
004,539,245,195,711,494,323,650,809,693,031,551,798,240,720,105,219,076,118,
595,589,855,575,211,476,446,169,630,342,186,536,390,887,798,754,097,382,900,
970,730,294,344,187,610,510,133,744,606,124,622,140,304,733,841,321,227,646,
895,689,985,608,262,232,571,659,342,344,960,265,470,931,354,901,463,281,294,
219,696,417,430,050,986,584,203,679,468,285,829,026,876,166,024,439,144,778,
075,482,359,940,605,755,147,020,064,242,325,563,456,354,889,883,742,476,982,
315,581,072,956,831,465,976,738,064,337,159,118,473,928,284,569,537,856,921,
613,825,891,321,028,372,911,159,882,823,946,107,747,790,528,439,732,859,254,
655,876,502,689,390,386,655,215,678,124,763,238,275,218,476,379,372,695,538,
387,547,137,088,847,494,631,529,680,005,741,553,597,310,624,442,262,323,407,
740,289,301,799,556,005,794,040,353,784,512,656,775,780,515,993,104,838,862,
624,809,821,382,068,802,779,138,523,605,314,247,898,199,086,220,225,106,857,
115,271,346,461,041,852,655,582,458,861,139,852,587,789,766,829,482,465,506,
721,943,114,695,096,160,196,853,794,422,909,303,089,302,538,581,083,090,844,
886,196,885,136,306,631,531,140,684,767,836,292,937,301,081,023,998,118,431,
729,495,631,582,841,606,821,296,140,868,639,518,765,093,135,959,785,309,936,
477,343,652,662,590,399,215,969,807,783,032,976,865,842,863,633,839,030,860,
176,254,547,955,303,732,018,889,862,165,644,136,612,348,342,769,197,412,789,
504,919,311,213,519,938,912,060,079,306,457,426,611,226,120,873,503,014,724,
454,871,381,442,579,703,607,375,111,586,231,529,342,418,972,535,201,514,571,
842,703,487,906,669,490,515,131,860,796,382,606,955,041,075,787,572,351,236,
399,957,964,301,878,481,637,142,445,091,438,933,585,271,423,260,050,064,076,
923,259,324,395,379,196,567,409,808,771,202,449,895,046,049,015,499,800,353,
872,330,123,824,106,254,943,439,006,124,550,130,043,127,485,827,885,026,621,
835,874,748,145,721,522,549,022,400,105,835,776,054,155,573,931,356,933,122,
700,834,353,497,815,606,302,614,300,770,940,170,400,606,690,077,443,392,566,
473,610,598,128,473,328,127,912,579,008,897,970,440,268,707,668,676,984,815,
344,973,896,029,229,099,986,166,230,653,624,075,135,054,674,003,742,128,453,
559,446,929,236,599,743,042,058,561,749,514,724,592,803,683,662,590,667,819,
403,621,588,121,818,872,426,803,193,272,556,648,317,519,147,487,612,519,624,
829,054,598,845,160,968,411,845,489,694,230,904,436,019,310,796,525,933,890,
483,793,263,901,388,676,257,019,382,822,429,285,828,223,431,829,233,806,744,
986,658,217,114,359,001,070,287,818,443,641,703,940,405,733,208,678,299,248,
365,196,314,759,048,785,485,109,460,498,159,904,940,815,536,860,619,694,537,
003,129,415,313,168,013,180,902,679,733,323,911,932,163,195,787,917,701,778,
738,527,992,967,263,746,995,292,129,389,975,299,817,765,163,950,462,596,979,
167,886,999,977,988,794,669,768,215,246,865,462,729,572,974,324,256,013,404,
620,960,253,274,920,202,660,168,466,418,444,203,420,985,222,018,610,033,486,
604,219,012,821,151,509,324,759,319,851,366,736,098,788,876,203,386,095,845,
831,598,476,025,423,744,890,359,743,110,270,608,850,532,732,293,815,565,722,
855,245,986,994,915,499,456,430,508,403,407,262,359,619,333,305,529,674,511,
894,610,961,139,669,130,112,580,282,086,016,917,534,813,290,675,924,667,881,
512,103,975,170,665,103,844,596,095,718,623,662,183,792,978,340,669,498,713,
890,671,985,441,955,259,805,547,285,823,854,699,732,432,307,370,039,460,239,
258,342,457,048,112,008,407,638,836,247,632,798,968,634,550,419,198,254,617,
464,487,994,649,302,741,145,797,446,739,438,056,472,882,119,298,586,190,530,
068,763,292,595,439,036,507,963,877,556,791,493,130,942,829,395,737,537,595,
497,752,110,933,873,560,965,498,613,279,072,200,871,889,708,810,357,870,300,
742,195,094,003,998,742,880,690,636,564,070,465,382,580,253,961,300,814,441,
129,166,360,144,305,746,616,857,001,447,131,852,107,258,389,737,887,719,465,
898,992,889,531,935,710,361,010,688,469,849,940,226,213,428,812,753,761,943,
318,409,305,680,376,232,545,593,119,295,219,501,259,807,325,498,872,527,835,
107,069,629,522,901,356,891,623,186,605,026,065,503,825,863,195,618,336,369,
563,853,447,187,659,325,869,194,866,354,083,833,753,639,776,577,840,100,123,
373,905,512,414,227,268,098,645,325,963,444,852,356,593,522,302,871,433,002,
330,311,786,469,647,885,561,626,103,940,830,418,527,541,718,811,783,471,703,
535,887,222,919,853,684,802,249,277,659,122,659,402,587,190,736,254,006,903,
236,342,000,441,234,218,657,897,059,453,847,837,414,107,164,213,553,498,756,
374,593,688,470,689,521,769,022,764,640,817,624,687,364,680,895,394,287,646,
043,769,196,372,417,859,618,808,841,636,152,476,531,748,740,634,452,629,070,
157,459,727,838,678,018,291,441,830,412,414,602,889,635,232,031,733,515,210,
275,476,004,635,278,129,572,126,992,960,421,991,645,100,371,865,494,917,298,
043,694,751,915,595,462,634,747,675,572,509,119,716,728,067,160,877,325,611,
557,264,649,908,388,840,802,001,101,985,924,515,370,122,443,171,631,122,741,
105,451,035,165,461,797,245,003,859,265,250,990,951,936,109,305,558,714,418,
556,370,556,637,964,857,530,010,333,174,125,623,392,339,284,492,299,996,109,
168,196,851,212,900,228,923,999,349,610,264,078,727,333,753,166,388,981,339,
437,251,295,998,315,616,428,108,680,103,048,080,437,375,709,289,037,929,991,
655,978,513,485,469,684,626,439,771,805,619,612,264,956,880,328,123,349,269,
005,109,322,933,880,686,956,025,970,750,812,865,430,756,368,811,691,478,383,
064,870,001,541,797,355,717,269,226,092,316,519,752,933,871,839,101,358,436,
351,519,731,903,797,846,668,908,478,323,060,971,143,797,697,799,690,048,314,
850,288,122,615,966,294,571,393,763,631,222,606,910,183,342,697,785,822,934,
831,436,149,337,303,681,448,501,743,648,327,523,513,073,895,314,354,363,683,
976,735,104,943,358,490,540,099,492,403,147,895,283,836,651,458,067,897,857,
557,929,735,837,459,334,145,796,764,264,543,260,432,417,110,831,612,627,495,
459,648,021,835,226,960,724,260,523,927,075,739,622,978,928,791,319,997,485,
177,630,715,449,716,000,223,549,170,918,192,175,207,547,429,768,088,158,141,
841,351,188,061,960,327,767,859,311,836,216,562,085,947,811,179,508,940,251,
358,804,198,300,245,397,299,017,955,031,651,211,460,453,501,088,518,538,437,
475,627,279,021,851,508,807,040,686,597,349,195,879,332,347,526,628,751,229,
544,125,267,297,023,812,124,323,059,876,010,440,780,210,695,650,032,393,184,
255,820,570,406,653,633,637,278,396,896,463,287,193,712,717,061,604,372,938,
396,765,998,809,862,335,446,767,972,938,852,414,298,566,159,295,112,545,886,
043,183,592,311,905,583,033,511,235,234,797,250,130,437,887,519,373,601,527,
014,138,270,423,617,208,280,163,830,867,124,763,069,456,675,179,312,345,452,
975,321,999,613,582,842,904,609,282,139,061,442,291,304,453,985,438,291,445,
767,928,526,151,044,731,970,077,877,062,449,512,737,476,861,364,558,385,252,
444,849,315,428,450,517,995,554,674,690,802,046,673,946,109,499,867,424,838,
469,263,288,129,137,031,945,162,933,018,836,116,874,312,779,851,054,673,923,
246,930,350,896,283,971,868,589,115,821,389,609,764,586,093,786,162,726,807,
813,858,411,995,407,685,132,643,552,954,083,506,108,492,266,912,411,926,414,
548,230,205,776,196,307,702,299,885,776,538,372,035,354,304,383,676,285,268,
234,648,427,213,111,515,176,818,251,913,452,548,415,466,503,628,681,582,798,
131,017,572,629,544,677,150,068,414,598,592,844,419,489,792,336,021,564,125,
393,708,999,003,456,548,118,463,526,747,375,983,970,104,607,583,496,493,001,
179,537,095,284,808,361,161,703,662,524,048,220,993,093,390,432,496,373,290,
958,064,261,038,738,035,422,163,464,015,402,650,706,157,784,156,309,063,759,
018,898,471,165,658,900,942,521,795,997,968,262,355,978,044,341,867,740,971,
198,554,243,014,312,530,285,946,738,429,988,032,618,292,089,686,685,925,862,
225,735,332,395,958,404,794,562,091,458,311,974,938,330,324,165,071,718,279,
868,458,170,499,507,306,809,270,313,469,235,435,982,569,288,710,940,444,945,
713,507,929,916,563,329,897,321,628,862,785,123,729,518,035,478,955,133,705,
980,432,844,693,292,898,749,257,390,703,439,536,332,942,435,966,770,979,515,
423,674,924,544,539,094,403,998,552,950,222,979,477,421,840,280,310,057,467,
423,174,686,915,735,002,851,733,261,386,084,383,580,679,349,641,755,190,785,
758,609,882,650,893,432,223,343,829,167,661,953,527,430,622,151,887,708,842,
353,403,235,003,849,260,021,189,277,809,684,672,392,298,070,025,837,359,128,
765,095,585,001,160,378,740,588,049,864,100,601,389,575,538,288,132,826,663,
037,684,245,516,555,062,760,060,070,711,133,092,783,137,624,023,685,907,961,
490,814,101,995,244,618,624,308,067,120,305,907,962,236,624,872,773,729,731,
925,440,109,642,499,045,776,701,108,851,384,087,769,995,829,129,740,544,786,
471,453,228,997,943,123,937,626,158,924,780,986,206,398,109,384,101,627,962,
472,558,716,844,234,601,450,489,959,048,300,183,134,540,075,402,779,656,844,
651,565,620,829,774,798,812,394,593,167,418,982,171,901,233,488,993,090,927,
919,558,662,502,984,144,531,497,988,497,857,989,814,420,348,925,437,092,011,
531,104,295,766,347,637,788,346,508,710,144,268,305,610,142,279,640,914,914,
699,141,386,666,506,873,212,526,368,324,417,606,961,106,592,810,323,336,302,
568,231,086,557,922,286,709,573,473,743,178,078,769,650,956,501,932,785,708,
980,084,775,501,039,327,247,042,546,827,484,638,601,400,215,196,553,515,822,
528,311,467,696,733,050,626,794,052,287,895,294,593,926,707,807,233,358,867,
412,110,356,554,807,794,720,955,515,905,431,588,976,552,848,917,096,356,442,
589,126,374,947,284,545,062,229,932,337,034,260,840,717,843,454,778,463,722,
406,048,383,452,491,708,064,233,845,742,091,442,460,311,791,976,039,780,197,
079,326,816,781,545,945,486,641,451,046,695,401,542,258,602,031,392,243,870,
638,260,563,787,214,826,386,528,231,924,364,266,802,742,341,016,537,269,300,
505,955,240,537,787,532,189,768,189,748,313,500,263,226,151,639,035,206,536,
986,960,271,665,987,186,576,222,684,568,246,239,449,915,556,742,034,716,320,
761,596,186,629,304,547,759,821,926,959,401,849,412,095,253,248,803,186,347,
123,438,358,056,078,915,257,295,212,023,444,100,514,809,640,900,557,483,243,
472,248,642,816,265,525,803,619,894,655,626,380,437,116,445,667,421,986,517,
833,532,939,624,644,259,332,209,159,141,000,721,535,220,064,915,151,608,137,
176,813,610,014,535,140,824,443,677,289,423,767,081,755,427,237,641,277,128,
142,834,403,770,402,891,317,561,357,596,769,914,921,979,985,104,787,947,130,
320,196,407,598,428,255,586,743,779,476,231,115,079,742,225,921,733,598,824,
325,375,470,708,944,374,746,583,141,076,109,212,354,159,507,622,014,009,957,
424,813,408,249,271,212,774,732,998,062,899,958,491,372,965,530,213,259,721,
325,005,166,164,020,020,941,016,399,450,995,029,548,489,972,046,169,194,683,
452,435,059,469,999,422,514,850,935,450,602,646,320,411,794,020,202,328,179,
584,589,243,640,149,182,352,021,447,422,546,715,995,670,300,288,232,601,504,
422,591,731,422,089,601,023,798,192,327,281,672,449,038,233,699,510,398,431,
413,943,734,294,286,924,068,919,133,770,370,640,345,608,602,052,910,095,936,
995,334,319,246,233,745,889,247,273,581,448,857,013,382,804,505,932,468,154,
982,359,211,905,212,932,703,364,349,840,067,542,644,474,119,669,029,922,868,
222,093,608,890,244,072,267,977,019,821,349,730,812,632,187,495,799,016,296,
571,944,649,141,173,033,720,163,735,445,270,130,911,272,717,445,329,806,523,
136,562,111,643,690,953,440,576,375,544,873,288,442,960,937,986,370,348,641,
124,623,867,933,043,271,189,056,319,033,616,830,664,502,694,077,857,342,104,
449,174,884,889,689,475,268,679,853,472,669,279,235,644,887,782,767,412,439,
541,754,336,835,790,010,911,383,713,970,351,244,016,792,242,901,031,884,650,
817,609,779,867,883,166,702,614,547,690,987,464,101,034,877,789,546,033,762,
258,002,977,698,501,206,331,932,195,212,844,865,403,851,515,867,903,766,977,
072,419,966,828,023,205,589,668,073,854,570,985,315,568,556,904,957,308,382,
214,840,282,057,498,844,680,025,734,680,196,800,803,480,148,716,664,015,004,
635,417,722,843,328,928,889,339,082,976,414,943,888,385,029,341,680,004,083,
029,116,089,818,686,409,743,266,738,943,872,965,844,659,364,994,850,540,073,
561,118,032,311,632,501,762,480,475,959,555,130,338,895,679,936,730,661,014,
150,139,948,788,059,576,020,192,518,421,757,618,564,234,273,398,492,924,283,
496,990,869,932,408,148,681,090,974,633,631,382,798,378,001,068,890,714,035,
661,438,321,101,948,540,794,854,503,854,818,615,353,390,913,521,325,303,620,
680,578,769,781,693,279,666,372,462,841,377,213,672,911,883,591,417,855,650,
402,365,081,714,386,520,732,799,716,229,192,634,672,654,550,929,673,623,281,
433,334,528,961,723,212,358,401,022,829,107,082,196,640,790,178,869,383,273,
216,658,339,135,599,129,592,751,397,269,221,264,851,667,619,267,513,213,142,
727,797,858,527,904,516,980,356,277,030,972,007,621,116,140,039,968,603,569,
252,198,528,749,747,232,311,122,356,312,479,085,310,439,657,588,112,701,295,
493,589,563,521,445,697,649,516,263,302,210,318,347,529,519,209,217,829,841,
221,544,500,541,247,663,881,838,358,033,446,586,556,351,688,408,469,357,354,
426,958,996,672,862,705,026,640,656,600,358,947,689,006,102,720,816,475,715,
741,801,053,927,968,302,415,530,945,965,526,390,155,283,104,994,868,933,867,
419,811,200,442,675,025,275,033,215,183,203,339,476,675,316,966,301,696,149,
710,124,167,795,075,306,653,607,797,472,381,081,241,244,159,548,317,474,343,
518,960,253,455,840,558,141,271,534,764,943,987,299,682,745,184,471,645,541,
419,246,468,858,364,708,656,442,721,375,913,911,819,900,068,688,488,577,783,
282,821,354,635,823,366,035,492,203,825,866,855,302,333,803,967,034,762,226,
507,833,797,264,249,663,687,611,365,120,757,748,968,163,648,908,224,717,900,
834,864,116,636,177,665,746,996,643,651,666,009,591,268,959,227,235,774,869,
309,545,784,152,359,270,008,112,284,756,458,761,870,415,379,200,517,778,351,
059,093,505,987,429,927,901,486,105,913,908,287,202,688,316,921,060,012,964,
825,320,117,310,752,169,851,252,153,063,946,509,268,450,116,112,377,811,603,
036,609,653,538,098,024,512,777,649,847,838,350,460,705,513,472,970,590,677,
541,487,751,983,045,814,936,265,218,729,764,059,206,770,553,865,943,163,017,
717,989,995,252,487,056,155,629,183,988,895,365,440,058,063,936,363,117,796,
208,349,881,783,826,278,943,029,803,653,020,469,278,242,012,225,492,778,626,
146,022,433,130,282,529,698,877,241,121,846,560,262,720,154,231,056,080,899,
805,283,785,725,179,963,006,457,382,001,121,744,227,649,295,217,496,857,939,
002,835,296,649,631,566,091,896,374,543,750,045,308,459,765,897,133,066,662,
241,173,767,885,234,523,863,545,201,074,477,764,538,136,431,283,192,899,646,
908,779,859,264,692,190,722,508,001,388,667,056,248,671,949,309,826,177,749,
147,737,089,002,063,346,849,885,734,730,991,447,156,038,773,153,577,359,105,
629,823,657,900,461,527,163,079,764,508,753,242,619,147,720,628,505,291,596,
460,627,924,696,240,643,566,880,140,993,823,952,334,540,861,828,834,025,143,
701,591,022,631,053,319,829,947,945,225,458,644,685,898,227,251,144,756,046,
476,426,433,756,483,359,245,338,229,456,747,144,628,209,781,089,426,581,259,
737,698,148,154,245,021,121,787,406,230,820,751,583,425,012,406,290,517,264,
968,218,937,897,954,234,159,781,479,489,705,750,222,067,267,353,556,573,669,
554,989,819,621,872,273,681,395,357,871,214,006,127,890,996,967,236,631,714,
628,491,523,189,738,319,075,238,196,910,896,853,738,548,469,228,104,573,429,
579,052,205,105,743,653,338,884,219,119,380,118,401,622,088,609,426,725,132,
000,511,040,961,504,628,797,146,143,148,719,717,161,180,140,815,356,045,454,
104,683,076,116,164,877,929,330,021,371,097,911,407,810,957,930,505,401,303,
344,072,304,125,826,762,340,609,396,041,877,634,651,345,833,599,104,795,295,
491,050,709,410,223,434,549,463,213,753,831,693,001,782,206,210,968,655,498,
497,043,120,063,166,785,785,846,228,387,798,709,732,376,386,654,073,779,200,
942,989,309,852,356,781,390,951,207,773,296,985,122,075,141,721,892,678,210,
533,293,804,219,138,294,942,194,620,777,157,311,507,842,551,377,015,140,654,
743,122,529,116,422,440,588,781,112,792,264,036,851,953,016,772,213,671,607,
721,611,231,246,756,848,015,999,258,499,839,294,961,490,931,663,550,826,364,
235,262,568,107,045,573,956,166,763,658,517,268,817,370,245,710,243,616,196,
206,483,824,891,652,878,212,659,551,763,671,375,099,208,037,813,812,746,607,
065,700,111,850,347,297,292,255,984,467,616,480,767,932,350,781,322,143,022,
416,931,280,577,009,463,371,435,265,081,177,254,496,214,750,904,058,276,037,
322,130,547,055,748,961,941,146,445,612,542,333,807,303,478,307,734,833,037,
630,923,707,466,012,016,379,780,932,951,791,872,750,333,687,465,275,640,435,
079,511,548,756,024,539,060,116,949,213,750,743,249,604,829,133,478,244,728,
621,484,595,866,055,443,701,658,096,160,376,628,217,462,477,564,602,696,706,
807,331,239,207,749,693,681,508,649,489,136,663,994,650,462,916,508,409,334,
246,467,998,611,334,513,150,089,839,080,448,815,519,744,347,140,822,240,483,
513,047,088,880,031,703,340,168,793,380,334,233,621,204,100,895,819,639,788,
105,847,055,644,441,640,588,721,144,975,858,423,175,583,789,884,719,439,475,
229,194,883,997,784,870,360,588,120,980,462,593,523,257,969,032,888,600,680,
913,562,175,685,880,894,010,560,453,963,111,891,550,188,320,881,795,940,950,
476,706,233,805,546,081,528,256,163,878,986,755,660,240,213,134,536,164,732,
199,314,715,479,392,198,075,850,675,230,118,369,073,095,338,940,996,978,522,
504,399,072,899,455,123,516,879,646,735,174,000,272,476,133,477,093,190,191,
273,483,398,226,701,765,338,282,472,111,530,017,223,100,472,110,204,038,882,
886,824,365,169,884,827,988,402,106,435,015,712,180,902,530,430,059,269,798,
898,598,834,392,389,344,833,290,421,477,304,033,130,613,438,534,247,276,755,
654,706,683,945,254,664,510,375,002,117,711,944,847,420,093,692,541,138,159,
949,961,328,257,502,424,107,547,157,468,084,046,436,302,083,329,938,296,269,
079,972,658,138,463,901,231,886,380,073,466,220,370,761,567,897,746,136,901,
250,995,334,096,191,099,732,172,895,562,138,672,000,981,772,272,315,016,064,
811,112,038,145,625,382,394,649,200,426,084,716,140,251,273,154,957,780,314,
493,606,229,575,367,964,212,583,763,980,781,914,038,006,572,211,584,495,685,
404,138,786,712,135,704,925,255,575,665,682,053,779,803,664,537,808,672,213,
237,530,403,641,308,768,621,274,755,890,610,618,119,809,330,030,625,788,273,
877,450,972,197,344,270,102,062,036,494,572,884,234,589,651,075,735,214,596,
141,984,671,975,494,214,441,126,431,014,613,408,913,699,169,424,138,473,179,
210,816,961,072,819,658,333,475,536,919,930,400,786,964,117,834,082,769,584,
495,202,097,041,883,807,269,070,981,332,508,954,582,766,947,483,963,548,572,
194,648,193,451,933,219,142,070,165,072,182,232,299,666,865,491,493,231,841,
328,802,607,339,613,033,739,674,386,327,141,743,789,947,430,763,263,027,048,
339,043,289,386,480,820,490,111,056,127,669,411,194,697,686,386,495,851,360,
145,444,523,254,203,846,698,259,553,187,641,989,851,216,020,152,199,714,515,
055,012,250,503,011,199,572,510,958,467,467,880,540,573,671,976,814,440,531,
008,216,239,900,745,674,325,820,538,438,767,624,409,998,059,938,230,295,475,
738,915,550,330,309,395,013,808,928,450,980,087,423,804,109,287,690,855,544,
625,647,295,043,710,084,033,650,694,993,572,566,086,668,496,570,061,245,447,
698,121,458,729,160,854,501,882,142,162,673,606,724,539,066,471,137,027,206,
060,029,885,372,560,149,302,030,340,640,730,529,478,254,826,911,113,614,694,
781,600,252,552,711,824,715,938,831,959,551,084,580,251,819,076,989,134,414,
631,442,243,937,117,862,145,629,420,927,894,689,591,577,488,385,777,928,331,
169,614,343,676,750,568,798,291,834,310,249,037,803,739,166,111,803,935,717,
301,818,715,949,762,905,417,103,556,875,994,535,624,730,767,595,771,919,002,
473,882,256,408,077,508,604,350,648,943,369,393,312,795,311,256,277,686,238,
633,084,971,569,189,763,760,985,701,717,673,962,193,876,687,963,896,474,555,
006,742,951,814,871,082,091,401,425,017,688,307,498,501,641,417,426,435,956,
397,916,631,302,764,394,340,111,010,863,935,656,637,764,677,480,697,625,664,
660,019,869,620,289,545,153,528,787,718,813,648,298,134,325,854,438,750,056,
758,072,837,367,120,544,759,522,578,617,469,610,994,976,886,064,483,002,861,
246,769,439,153,890,566,023,646,478,280,528,086,100,590,144,897,676,568,683,
730,260,905,702,678,230,237,170,383,452,868,031,241,422,841,014,914,256,120,
727,998,520,967,257,468,305,645,640,642,851,937,528,392,083,625,799,245,101,
120,833,885,256,905,015,403,699,541,331,076,602,757,925,574,385,477,148,211,
188,583,223,245,903,690,680,116,819,741,330,543,299,981,044,705,034,933,615,
757,370,991,654,478,581,935,686,498,069,792,928,364,756,964,745,753,017,547,
547,212,443,982,750,684,639,923,455,336,016,045,139,961,574,485,638,404,798,
429,740,775,220,663,014,403,278,917,996,028,028,350,480,165,871,636,346,903,
193,928,535,545,147,655,655,520,232,800,996,963,467,298,052,396,601,597,668,
928,782,457,299,004,491,089,990,260,249,550,198,538,890,492,661,336,648,390,
529,839,375,743,026,952,753,326,501,262,198,496,296,379,538,071,359,976,905,
576,566,794,289,598,182,237,722,187,986,017,544,774,487,577,221,740,976,430,
485,013,116,699,990,532,622,311,364,848,406,207,713,390,736,561,228,182,364,
356,728,142,430,691,242,792,069,658,605,169,752,914,196,723,195,295,916,052,
811,319,634,297,014,415,684,099,185,613,814,555,233,526,762,075,426,826,591,
064,453,911,529,537,681,267,818,657,225,398,375,499,776,785,955,071,415,323,
396,355,671,738,872,481,637,223,780,702,000,148,502,036,430,906,353,228,286,
705,059,356,735,561,771,426,487,086,451,191,736,009,188,968,357,849,327,004,
969,942,005,004,204,003,425,106,432,545,270,808,019,788,196,676,104,370,580,
202,370,578,474,848,979,599,905,319,627,989,000,869,256,917,617,352,745,344,
980,822,791,730,928,431,325,049,029,386,091,736,904,714,383,136,136,684,388,
071,557,759,595,778,406,670,395,377,484,182,015,993,836,941,100,315,941,533,
230,239,408,643,880,154,027,898,979,636,530,058,198,098,425,286,757,626,517,
901,494,805,501,395,778,569,925,134,120,125,602,539,156,982,887,124,950,694,
199,607,974,687,786,156,379,446,509,777,121,932,718,916,047,219,918,654,316,
475,638,993,439,242,341,225,903,156,301,858,186,720,882,290,373,345,161,817,
217,040,541,935,216,778,203,460,313,676,145,365,557,197,059,461,618,005,942,
138,799,723,231,631,015,159,380,716,235,771,088,468,828,500,123,865,177,763,
189,091,583,459,114,341,450,216,792,021,896,473,209,126,854,882,923,690,009,
637,718,400,091,442,146,238,776,096,611,172,203,430,004,180,381,110,151,259,
730,307,992,750,991,599,046,707,944,083,754,878,590,614,653,977,370,207,421,
322,708,828,939,707,284,098,335,635,308,116,264,890,281,731,526,503,994,569,
608,446,523,282,360,412,368,345,780,867,723,741,148,221,054,767,171,846,971,
712,908,033,365,006,697,816,476,024,374,942,235,373,798,963,592,706,383,972,
906,865,729,081,025,305,612,189,798,602,923,224,521,032,931,659,875,364,496,
785,657,131,556,586,814,580,101,913,232,568,139,959,983,396,008,522,852,879,
469,002,046,216,989,619,961,717,904,344,035,829,057,383,057,501,080,161,390,
855,627,703,063,707,002,720,496,081,649,456,206,447,778,987,197,412,469,502,
659,576,840,005,846,723,430,984,422,203,908,620,386,896,959,315,517,220,440,
076,401,012,018,900,104,642,162,975,069,884,781,514,512,838,022,497,364,769,
432,247,081,415,269,729,481,289,614,303,330,635,322,682,135,821,825,924,966,
669,147,003,351,616,906,702,232,105,168,490,411,358,200,958,172,271,276,586,
071,133,714,626,203,293,320,328,421,863,088,814,875,386,776,910,874,251,300,
074,071,338,061,198,874,476,835,770,704,603,109,975,472,758,441,671,650,963,
674,451,422,456,784,100,758,583,459,249,233,724,222,491,809,429,760,042,735,
107,677,758,966,105,975,286,980,282,843,718,885,398,044,336,580,137,182,941,
182,590,690,161,145,678,209,883,259,685,798,970,629,087,810,591,760,396,467,
868,906,608,647,647,402,779,273,467,461,291,725,265,763,792,938,938,103,892,
347,937,424,857,964,194,617,771,950,559,395,013,346,357,971,018,585,288,341,
971,727,455,198,406,283,477,869,275,048,526,737,125,116,508,262,351,655,816,
547,077,386,248,482,360,804,763,182,079,994,306,743,648,316,165,022,439,296,
351,821,361,176,069,413,592,697,657,468,421,083,935,923,535,383,850,921,645,
024,857,468,908,374,361,358,424,171,536,516,793,357,260,907,235,895,761,318,
602,050,135,447,917,550,172,106,083,643,908,358,091,707,633,427,797,946,510,
423,539,200,197,948,160,684,001,595,436,429,557,706,385,401,003,344,487,784,
181,374,507,201,496,447,719,955,971,508,425,178,992,790,738,841,520,133,673,
646,363,949,252,819,856,764,518,275,669,480,525,307,282,181,775,727,600,296,
968,270,494,604,029,963,020,453,196,539,781,289,416,186,756,429,351,895,339,
439,764,236,318,610,103,934,915,745,000,155,496,779,132,535,274,176,068,211,
848,078,076,824,465,739,631,666,773,895,398,683,421,557,338,943,791,732,881,
737,740,517,005,596,761,519,110,507,453,035,674,167,718,028,637,278,059,032,
837,189,696,267,949,325,316,448,426,291,249,889,890,717,941,461,996,850,679,
851,117,973,387,405,323,226,469,229,732,080,406,909,832,775,201,796,318,634,
540,313,503,871,615,946,820,616,911,176,940,358,368,310,112,189,219,564,011,
346,852,097,257,080,905,981,074,721,729,451,270,717,093,578,858,341,221,780,
973,070,503,403,356,889,289,949,462,677,190,875,561,393,712,890,152,786,079,
381,561,184,746,253,153,097,658,507,064,502,806,442,822,772,914,929,033,080,
879,010,594,977,617,856,264,614,006,618,515,771,465,137,487,993,534,856,174,
677,291,989,333,672,945,181,520,113,597,137,291,551,067,111,877,834,654,615,
557,183,541,660,346,217,823,177,612,871,833,271,720,111,359,027,653,391,860,
066,094,196,468,753,968,551,852,465,450,375,273,134,699,381,155,026,375,725,
383,674,134,153,163,069,702,123,703,635,391,991,147,678,689,285,921,993,423,
058,701,560,989,146,638,165,478,066,033,865,890,548,043,327,566,703,969,892,
808,065,130,176,126,219,041,392,285,807,596,216,143,025,134,722,574,324,227,
717,377,121,659,699,496,850,414,785,360,108,172,941,386,752,574,950,232,676,
986,385,768,966,338,077,020,781,479,639,921,980,085,759,326,327,671,564,436,
415,647,125,988,343,489,637,233,232,270,662,739,961,002,827,721,348,887,761,
038,290,397,128,341,281,144,463,436,108,950,022,000,295,974,608,040,014,314,
501,745,708,016,398,950,620,995,693,443,237,362,478,818,008,948,011,051,131,
308,790,269,702,127,578,198,185,251,679,599,061,990,260,502,324,385,618,453,
212,042,332,997,667,194,592,218,789,329,179,032,781,113,655,783,998,677,168,
491,197,101,870,615,434,055,170,089,487,624,713,483,413,366,252,440,731,152,
622,518,032,550,050,807,037,210,582,377,870,336,318,873,087,626,355,193,675,
759,893,895,894,307,784,868,154,136,216,899,332,585,350,315,440,274,300,131,
639,464,175,603,075,092,520,271,737,735,643,025,520,950,957,950,166,638,860,
443,958,941,461,178,124,851,232,711,017,650,610,908,318,724,095,338,329,310,
606,252,915,248,538,248,516,737,659,704,977,604,061,877,614,411,118,484,228,
752,019,261,499,011,794,166,680,693,926,808,279,836,846,743,917,195,881,511,
865,224,309,996,848,500,719,892,813,985,029,220,986,234,291,292,525,122,024,
102,762,241,343,036,516,121,508,428,755,636,563,565,419,693,064,985,124,365,
750,085,527,777,068,464,218,879,213,551,559,034,840,563,929,757,852,889,584,
075,819,829,714,805,531,695,164,919,585,639,881,165,931,424,107,369,848,917,
739,572,180,391,034,517,474,201,594,987,087,224,459,871,491,678,584,982,278,
224,780,211,217,472,172,900,384,308,442,751,322,273,554,981,786,833,353,006,
481,438,098,625,558,325,762,007,494,628,698,770,315,396,861,248,301,167,199,
760,874,795,262,585,193,579,402,878,735,500,966,755,241,815,919,500,681,831,
457,953,131,812,330,580,408,932,421,878,339,753,885,344,333,231,774,787,091,
696,227,142,048,274,306,799,225,045,343,426,404,439,898,097,945,894,890,131,
083,948,683,539,735,346,928,081,676,076,336,980,007,107,702,724,370,723,636,
197,263,845,141,895,196,133,394,236,687,100,821,783,943,105,756,377,168,834,
112,206,340,301,605,611,423,690,351,377,199,235,823,930,946,229,525,892,339,
812,572,880,635,466,466,837,651,565,424,449,446,927,575,842,880,370,443,961,
102,410,477,697,721,324,820,829,322,320,478,028,907,561,036,673,923,104,806,
875,988,320,922,421,767,192,879,342,217,928,006,900,679,927,593,597,114,954,
901,431,532,569,897,820,991,924,515,170,066,925,173,800,688,945,547,655,272,
832,445,198,520,775,338,890,144,505,939,035,952,242,508,729,370,932,717,190,
349,105,347,698,054,553,212,852,030,228,541,755,910,782,865,506,231,287,490,
367,986,576,506,043,009,853,843,217,949,047,541,124,120,105,201,937,284,491,
329,379,866,035,999,674,544,539,067,224,680,056,937,325,859,877,229,198,772,
129,596,632,314,094,910,467,883,700,121,980,228,102,369,496,260,812,734,438,
896,194,444,788,387,315,411,761,989,407,563,868,995,115,690,230,544,989,030,
515,254,988,794,282,639,013,870,035,340,989,057,376,854,823,619,039,495,815,
519,203,474,128,350,287,920,620,439,395,120,227,263,522,064,599,649,021,535,
735,906,533,892,360,123,632,600,164,750,520,852,079,977,288,601,350,074,564,
507,539,867,942,013,010,372,723,528,987,399,694,507,522,904,130,296,570,344,
439,747,819,835,752,222,940,644,421,698,164,768,908,290,925,385,575,557,225,
063,316,225,618,621,040,968,802,445,187,589,433,596,167,441,125,356,282,585,
792,254,289,548,581,331,705,030,079,486,655,723,644,836,953,977,996,878,142,
045,140,993,060,923,277,327,196,862,020,627,205,420,886,653,337,503,714,648,
344,657,208,303,357,151,412,766,692,143,285,517,267,934,201,229,325,979,114,
018,407,875,143,010,679,793,119,206,914,324,863,954,270,953,073,020,663,019,
281,872,687,161,887,820,070,622,830,377,801,636,462,914,700,091,446,319,039,
456,595,757,888,140,645,268,654,618,360,723,914,218,636,063,723,585,694,169,
021,341,241,168,414,472,499,535,976,909,092,776,148,581,334,275,196,198,667,
508,785,945,347,737,616,635,127,463,415,585,665,753,626,839,562,550,856,269,
302,598,966,509,676,232,980,857,634,254,701,687,952,100,710,116,889,071,965,
765,302,319,666,503,288,593,577,597,872,020,607,291,715,436,084,823,065,348,
949,863,368,456,792,275,719,233,486,048,779,260,273,847,060,613,509,090,926,
541,144,904,887,612,550,029,483,050,101,490,081,438,197,423,868,611,456,083,
882,628,724,133,781,364,959,173,622,536,678,968,610,349,754,311,567,023,583,
706,788,617,537,338,449,484,011,960,870,856,708,148,187,101,093,662,887,816,
250,086,077,995,652,392,689,957,106,735,509,171,457,491,087,866,714,472,812,
653,389,071,739,589,927,102,220,541,147,514,962,164,204,813,122,465,304,556,
408,570,111,692,455,329,466,736,328,795,171,289,062,410,449,249,063,220,265,
808,306,516,603,650,745,611,274,478,975,638,421,101,288,561,046,255,147,051,
872,301,252,222,433,543,861,359,514,834,407,235,668,934,636,473,058,863,990,
881,364,481,915,355,593,867,369,320,342,213,332,914,884,561,048,342,647,584,
581,383,986,228,488,910,143,217,092,442,467,006,829,949,174,302,430,144,717,
030,611,351,146,940,971,969,110,154,947,294,035,326,468,786,058,008,746,318,
759,060,371,739,726,634,410,844,970,985,512,852,967,971,643,137,156,918,210,
108,970,895,971,551,898,560,851,499,623,627,071,554,816,585,627,700,043,404,
722,255,763,823,978,301,974,011,723,580,050,988,674,093,031,595,728,911,091,
590,151,473,824,790,508,419,741,082,045,175,036,104,732,479,831,760,721,499,
287,609,077,434,035,979,336,859,257,362,984,240,182,739,670,195,948,009,271,
079,580,263,450,429,856,621,091,808,413,364,651,849,535,275,352,407,710,366,
517,117,160,222,053,706,283,513,854,625,397,596,114,346,981,832,301,796,340,
126,581,053,381,208,649,717,482,701,258,777,379,431,206,384,888,775,694,853,
903,599,312,909,134,198,521,530,092,854,797,145,661,499,255,510,703,134,859,
840,375,640,535,472,527,494,578,861,450,159,188,575,551,752,955,092,575,511,
375,675,498,356,771,025,206,144,319,015,116,022,318,143,751,656,621,897,776,
158,960,350,010,359,439,993,026,889,651,653,250,083,753,492,407,996,841,630,
030,233,517,476,053,464,107,023,034,998,465,967,928,816,922,459,145,376,922,
270,722,867,688,768,414,590,314,942,447,315,574,087,928,591,291,416,451,303,
044,121,672,164,556,860,091,635,202,744,893,658,570,747,946,848,894,488,516,
863,730,801,358,766,947,499,418,976,941,236,847,804,871,668,711,553,920,805,
916,682,332,568,114,349,211,862,535,103,764,756,505,907,445,352,774,528,058,
794,612,378,093,041,608,329,526,281,090,851,084,486,302,383,134,713,640,991,
309,097,682,611,449,057,762,478,776,723,201,609,313,616,387,995,761,906,752,
274,454,278,801,324,828,085,055,977,615,843,831,985,095,022,581,829,223,593,
146,172,558,461,419,975,757,727,520,948,225,418,243,784,650,891,724,985,086,
622,852,269,488,320,099,928,064,261,107,725,091,319,596,264,771,729,110,925,
638,494,941,236,948,827,540,034,873,380,600,979,190,348,021,020,139,104,776,
555,342,160,800,948,043,235,968,058,405,615,532,360,062,105,736,557,473,041,
734,513,642,610,909,541,119,124,911,656,944,977,010,596,876,306,166,404,422,
782,560,130,995,555,852,453,778,043,316,025,803,161,072,589,640,789,799,053,
014,114,924,770,157,397,348,512,126,596,543,988,919,099,493,249,943,069,726,
730,801,684,795,118,995,466,532,946,584,696,726,061,071,260,174,948,985,368,
533,993,570,518,345,698,083,959,776,470,841,113,451,887,045,679,539,348,706,
863,781,358,018,401,054,572,909,744,530,639,662,209,645,906,603,762,182,648,
090,922,576,219,298,630,420,791,224,756,478,295,020,567,314,421,178,801,846,
054,793,728,774,922,858,645,248,155,274,123,136,493,141,585,011,247,128,491,
380,803,011,874,163,038,426,154,846,292,388,958,149,326,705,681,292,522,216,
605,694,033,294,856,185,194,080,167,947,904,251,528,076,903,331,803,831,724,
974,470,383,556,263,316,350,435,824,121,809,961,700,347,511,678,222,911,075,
817,707,982,322,345,036,051,552,962,735,609,316,117,272,128,433,147,971,535,
030,735,682,125,508,223,779,845,939,219,805,924,912,967,671,304,242,090,457,
141,141,404,915,074,527,422,559,398,016,185,373,375,419,887,651,311,325,094,
180,179,771,643,893,237,096,616,090,090,236,024,830,773,650,953,269,512,161,
696,649,817,583,064,201,213,475,388,536,481,868,098,604,287,641,591,807,266,
691,217,727,787,495,621,015,734,129,285,387,630,076,879,489,960,354,851,842,
714,098,129,485,100,902,814,123,324,929,654,446,898,564,323,304,461,731,003,
456,152,382,327,447,500,118,809,382,164,964,651,564,408,683,625,821,087,933,
323,086,005,477,667,668,920,880,661,820,413,818,948,027,259,550,197,624,134,
624,426,172,342,724,170,686,466,024,643,403,382,634,406,280,484,812,374,212,
773,340,763,730,480,238,869,659,867,028,453,817,590,283,984,748,729,774,340,
848,280,783,648,615,459,562,843,064,473,583,049,304,096,742,248,059,874,626,
435,755,904,172,356,957,456,029,561,730,777,765,419,070,552,683,925,266,788,
603,318,176,809,719,875,925,658,284,741,649,471,396,825,745,773,735,818,608,
892,779,625,118,197,444,680,688,467,544,087,510,062,316,272,925,410,761,507,
280,089,870,094,721,755,480,682,248,619,416,914,876,931,556,068,329,412,346,
599,544,205,532,388,528,175,687,901,259,381,824,785,264,582,274,831,820,202,
912,420,143,393,495,240,883,448,733,227,197,333,713,264,941,868,708,679,407,
463,236,061,803,169,963,601,284,460,933,913,676,454,191,741,784,051,447,359,
169,560,678,168,924,156,722,811,065,652,395,304,526,343,159,509,725,937,953,
290,633,478,885,347,636,168,047,547,017,845,950,111,571,884,603,054,470,904,
185,610,072,995,228,761,869,729,947,977,544,559,971,682,357,256,664,104,554,
571,288,237,627,054,674,012,621,119,802,891,588,962,848,403,820,046,525,840,
098,874,009,356,150,597,499,844,642,772,036,334,884,640,764,859,352,078,096,
195,951,458,073,686,330,557,608,358,587,836,878,016,188,899,661,338,291,321,
426,457,461,460,351,863,532,272,092,487,377,783,576,119,624,679,518,316,137,
867,841,494,564,368,178,569,210,007,244,781,872,318,558,062,194,684,871,954,
882,052,116,289,644,838,983,037,216,902,201,130,555,995,530,032,763,987,496,
184,137,848,675,495,552,165,614,969,334,913,656,391,419,632,287,426,613,725,
663,605,429,271,433,968,801,899,554,699,731,780,056,495,917,166,277,533,465,
778,683,312,516,076,928,802,373,987,786,393,273,281,762,762,682,456,229,897,
304,478,139,684,058,297,817,760,131,148,837,607,786,700,767,391,532,870,570,
157,622,956,793,506,995,860,874,305,831,543,690,197,199,831,142,995,289,498,
818,930,139,721,424,305,812,494,982,833,156,370,554,665,107,326,921,129,750,
692,717,809,466,660,211,644,386,532,766,869,846,139,603,374,621,605,754,541,
947,394,227,138,784,709,129,057,750,488,641,667,985,606,238,724,692,394,432,
617,618,915,315,332,588,971,400,847,073,823,774,293,499,165,975,465,343,631,
973,430,684,935,704,118,579,610,921,551,382,929,631,591,266,307,567,439,059,
427,990,648,265,456,273,460,500,226,393,688,254,893,194,105,585,694,761,845,
581,336,394,073,966,341,675,992,826,335,110,740,169,897,329,492,447,861,261,
213,534,406,497,729,482,950,716,864,616,169,445,060,608,536,800,454,508,814,
671,415,407,473,586,285,474,423,027,280,159,044,413,086,293,704,176,560,311,
628,406,174,092,856,309,137,214,410,573,099,321,019,499,471,648,788,789,010,
513,119,798,112,756,355,439,581,244,465,599,878,754,358,764,802,906,555,860,
246,377,612,642,433,276,365,779,777,715,510,023,553,743,374,558,617,317,160,
356,225,607,140,792,805,591,305,446,745,873,591,887,475,567,374,297,731,441,
569,482,418,369,390,669,566,704,390,122,501,214,569,251,368,589,327,805,308,
077,935,399,926,145,907,417,210,122,372,922,310,306,938,749,719,988,050,429,
120,124,934,249,981,298,866,207,934,306,038,951,221,215,932,723,667,831,858,
326,619,531,951,234,865,338,128,829,779,813,659,279,211,426,125,905,834,708,
764,222,101,815,796,942,874,093,219,953,563,144,663,687,827,681,397,816,212,
357,506,659,339,180,537,362,198,085,865,924,526,180,736,028,280,814,792,699,
723,052,307,437,852,055,084,827,526,475,588,385,603,420,951,955,943,257,249,
000,726,713,500,537,726,646,867,513,465,732,601,499,845,156,443,126,875,392,
446,148,837,554,395,156,487,768,387,056,916,286,694,935,530,094,158,701,166,
889,539,043,552,610,184,883,754,816,881,035,942,747,480,681,756,297,613,464,
037,726,356,075,210,749,525,194,787,707,328,174,161,127,614,757,928,089,350,
268,354,323,911,564,973,164,958,297,249,715,205,310,928,149,703,875,729,471,
597,395,869,065,790,449,715,387,831,210,590,594,541,380,154,627,583,231,320,
794,600,037,678,950,715,344,690,906,536,488,421,995,127,902,724,265,304,071,
510,163,761,731,855,271,413,277,936,540,813,162,781,909,530,719,428,375,696,
221,542,537,236,634,626,673,530,264,358,578,307,252,786,444,771,256,214,619,
506,723,331,445,297,437,268,330,665,983,628,693,911,146,185,942,079,095,206,
607,163,258,850,166,552,552,295,959,730,691,515,213,002,619,624,332,379,801,
722,429,488,210,897,433,014,527,703,342,798,047,732,109,947,529,889,260,423,
467,763,665,655,656,284,925,596,009,692,959,351,258,794,365,661,140,209,633,
235,074,746,977,986,891,710,098,640,484,526,518,414,702,665,249,295,833,966,
841,312,247,565,093,498,046,280,083,108,061,303,269,907,770,592,391,006,962,
727,229,606,851,632,249,161,308,562,298,041,151,744,555,157,447,586,518,621,
882,691,923,711,857,567,284,578,635,174,852,733,638,438,529,517,034,883,054,
677,241,525,860,249,184,900,653,084,158,370,389,540,062,581,478,310,066,686,
499,153,953,547,677,269,507,560,220,234,774,485,092,451,002,356,752,979,008,
661,067,584,040,122,010,250,457,498,379,185,741,057,755,239,335,587,919,936,
438,582,376,919,182,673,869,255,915,511,482,974,045,537,703,705,799,382,098,
120,883,039,238,071,096,450,549,777,558,569,029,143,855,428,686,765,843,744,
022,014,526,367,585,838,419,975,254,555,493,780,848,753,750,550,781,192,307,
309,612,343,436,551,142,002,593,981,365,919,852,975,461,114,008,081,669,316,
636,141,513,098,809,678,176,212,049,575,821,454,074,217,907,628,556,933,358,
408,068,536,577,294,346,051,032,193,163,683,579,372,952,922,697,557,893,456,
473,414,811,029,669,776,564,911,498,547,640,360,248,722,839,216,139,704,073,
948,608,576,122,136,320,123,709,034,067,019,174,224,245,095,185,722,342,067,
115,311,139,991,086,335,468,312,522,463,841,024,896,407,767,982,255,165,046,
593,179,288,050,477,733,855,818,665,856,411,186,016,070,650,605,884,047,804,
919,991,230,562,034,575,137,048,024,039,655,311,280,743,459,354,324,336,595,
596,263,460,533,600,297,036,729,847,290,678,477,937,525,792,813,741,094,132,
209,777,106,246,276,355,929,503,409,898,593,575,008,146,632,480,659,993,312,
492,733,859,962,450,704,918,982,578,974,248,408,298,881,311,605,912,245,093,
418,877,375,574,109,085,757,548,531,621,885,363,443,237,697,015,264,301,012,
867,512,122,987,063,566,587,415,469,134,318,415,973,432,640,138,515,853,195,
660,584,514,707,868,253,213,311,655,639,597,826,306,201,305,599,851,372,700,
453,097,744,651,016,426,778,063,726,078,535,292,043,831,381,609,791,103,091,
799,655,011,208,374,660,050,396,740,274,095,923,391,851,254,141,814,570,702,
422,393,763,429,083,205,606,427,861,540,813,040,295,592,224,297,212,615,263,
722,136,788,432,442,263,352,755,229,692,981,351,212,903,218,902,340,849,835,
141,263,703,555,607,093,985,646,263,278,468,134,410,068,733,391,954,244,531,
940,845,499,293,192,457,139,088,540,247,625,408,162,802,905,753,083,007,759,
624,177,303,621,612,079,750,463,198,907,340,611,493,450,139,626,205,540,125,
636,883,322,584,416,975,591,480,819,522,934,309,478,411,112,615,227,184,018,
738,813,863,217,883,318,897,054,440,499,790,792,007,780,340,056,351,228,074,
473,919,592,210,405,969,983,207,831,716,015,660,888,414,043,835,425,959,502,
609,267,842,618,238,788,451,240,215,101,820,940,592,293,109,626,272,376,877,
734,667,622,079,725,695,678,664,515,337,349,735,567,459,947,624,335,056,874,
471,015,857,731,034,789,726,344,519,240,772,292,519,384,215,627,013,384,967,
786,836,310,024,315,889,935,762,462,514,374,778,583,655,003,093,540,923,754,
305,489,680,757,616,330,946,451,961,131,004,922,457,618,839,641,868,363,267,
204,839,514,665,194,816,337,192,415,694,839,983,121,715,797,653,370,421,330,
194,335,017,796,387,898,469,275,308,010,691,929,713,270,806,000,293,967,270,
728,090,507,106,965,893,542,742,221,214,165,142,238,525,062,178,149,264,880,
107,875,247,103,234,439,319,748,396,536,059,455,081,803,633,566,523,720,898,
975,919,250,023,895,711,966,239,120,403,993,224,937,893,129,459,894,644,586,
062,903,851,625,690,379,591,698,604,162,534,301,458,933,977,197,624,745,323,
557,734,990,041,740,187,619,010,209,677,824,416,201,448,920,464,281,864,488,
810,939,282,093,408,292,711,523,968,903,265,470,005,017,242,077,204,204,236,
464,650,476,382,606,171,409,628,487,613,455,292,550,694,258,634,267,992,527,
148,979,102,995,501,766,154,093,094,666,278,707,661,843,329,031,507,367,614,
724,571,246,178,760,431,028,591,655,770,621,552,867,387,007,033,325,564,362,
831,894,827,432,364,800,381,905,796,771,138,308,401,579,473,092,611,329,289,
463,149,191,385,373,192,206,212,328,051,194,020,795,724,053,416,595,851,942,
904,093,354,827,727,511,737,496,745,308,015,793,942,771,010,679,380,134,272,
126,088,682,911,312,232,467,893,102,811,916,792,191,806,659,629,193,518,929,
053,083,101,182,611,510,398,599,457,870,533,251,764,583,498,530,549,280,811,
183,694,177,179,144,544,815,342,303,945,707,101,391,109,591,655,908,223,967,
252,428,821,481,061,944,386,034,686,216,119,689,639,933,705,975,089,971,591,
678,614,130,159,795,967,749,936,765,909,024,713,362,148,519,277,831,765,102,
764,513,137,772,231,940,504,602,748,939,796,241,353,622,589,617,632,325,785,
114,462,269,725,435,168,113,415,061,460,666,254,560,762,540,471,796,712,103,
560,944,528,312,729,698,671,562,580,159,693,531,882,413,874,686,190,206,605,
697,197,142,200,339,845,296,861,316,358,169,724,825,258,902,357,596,133,750,
972,596,032,490,042,117,687,484,038,149,476,846,388,191,372,471,540,403,783,
338,746,781,573,559,073,067,552,546,381,098,056,794,423,682,522,096,003,079,
224,908,475,970,372,985,784,611,009,269,497,678,077,457,300,492,117,737,384,
324,315,219,951,313,031,947,219,058,832,445,340,104,419,492,291,254,695,157,
655,606,059,858,449,135,713,056,127,156,731,150,946,235,905,558,270,391,450,
920,472,485,194,746,328,483,921,504,548,689,642,881,245,395,113,162,784,051,
715,252,383,212,490,915,851,143,710,931,394,089,211,570,324,009,169,685,612,
433,049,077,315,777,193,189,696,788,393,259,978,093,916,403,024,913,848,682,
484,646,626,743,781,065,775,355,547,730,697,600,393,295,114,333,243,018,400,
263,771,802,149,596,125,105,175,508,464,558,138,806,502,778,661,918,988,111,
891,019,396,536,594,788,791,583,155,249,747,753,492,124,660,310,187,964,539,
131,742,487,172,002,774,492,544,689,795,823,438,577,161,276,911,295,948,800,
617,485,736,598,124,296,175,476,253,891,179,045,449,557,476,594,594,209,888,
336,753,319,811,453,575,576,791,690,252,308,586,282,600,664,166,947,196,572,
403,836,813,366,174,630,450,580,205,876,604,394,208,030,420,584,842,714,178,
332,879,568,777,668,215,747,081,263,497,626,006,205,192,901,262,911,195,939,
783,611,394,036,228,732,409,206,852,194,143,673,209,683,763,189,197,554,526,
500,500,103,297,186,827,595,390,354,586,744,218,215,241,874,258,975,446,544,
069,913,921,402,936,109,727,454,387,818,717,163,415,804,912,679,634,554,360,
950,398,411,949,046,829,960,383,514,711,205,786,832,990,876,338,267,272,297,
826,792,846,900,920,732,895,859,015,025,471,495,262,492,948,329,699,708,550,
830,721,662,440,073,811,910,580,368,756,104,220,486,138,839,675,953,455,441,
451,704,928,476,889,395,318,321,087,906,737,749,169,174,789,678,989,854,863,
611,502,706,306,000,028,169,504,019,033,613,728,747,340,543,836,688,560,053,
239,083,136,378,656,268,007,362,144,529,907,726,243,404,074,424,937,607,293,
986,026,837,675,256,618,084,770,467,230,762,415,180,644,434,609,262,781,817,
145,905,778,454,751,777,597,311,021,220,371,577,662,836,438,479,279,907,179,
704,751,169,113,576,088,444,196,407,231,878,446,515,247,235,607,840,647,414,
079,148,841,441,400,958,308,609,461,396,256,994,663,054,943,067,183,544,882,
034,127,334,576,162,318,308,685,028,865,604,134,218,355,471,880,071,241,388,
636,359,654,602,415,644,127,862,809,415,729,266,734,647,714,695,581,786,131,
835,257,844,949,323,241,782,724,458,807,790,401,323,833,397,034,943,021,227,
918,606,175,910,651,449,015,435,476,643,101,855,791,599,714,219,817,960,495,
928,907,254,814,987,509,146,896,876,824,788,715,078,976,447,869,081,012,180,
690,653,736,665,362,389,372,645,179,534,773,304,704,150,035,497,180,655,813,
911,591,550,212,787,437,499,827,462,662,700,908,067,858,191,117,788,878,566,
874,157,591,398,870,239,672,375,875,101,196,179,947,325,670,621,341,199,476,
937,881,290,664,602,022,681,847,588,956,372,418,468,674,019,205,182,003,090,
514,366,846,328,916,335,943,673,752,556,395,809,382,959,957,086,667,301,840,
878,383,371,062,068,187,754,528,742,670,532,845,382,250,671,660,383,198,645,
066,857,460,701,623,777,621,909,710,819,948,633,203,540,829,261,103,107,305,
565,355,894,173,729,490,621,386,568,720,018,504,824,571,023,705,797,339,783,
866,739,157,545,453,196,673,850,480,279,617,905,665,574,803,343,875,178,350,
961,695,672,735,646,364,415,321,190,509,201,176,804,261,088,733,044,621,009,
462,940,426,402,927,262,523,483,048,728,447,243,233,322,449,729,083,850,130,
877,342,046,954,000,229,127,124,463,599,709,876,869,798,984,980,276,197,289,
947,789,785,924,185,799,757,606,411,916,339,169,513,242,387,437,714,363,707,
199,334,241,587,209,503,340,310,222,938,179,410,885,275,878,583,849,865,979,
678,138,458,851,126,387,933,536,100,617,803,628,886,122,822,503,729,229,736,
564,680,387,154,732,175,463,034,507,665,785,636,206,849,256,674,179,358,811,
337,148,803,048,554,473,867,878,726,916,932,658,923,039,398,813,131,513,048,
622,809,233,826,012,115,571,605,204,584,030,602,966,800,872,687,247,124,582,
467,579,885,696,127,598,285,127,010,921,025,654,634,074,086,541,844,233,942,
467,324,502,445,001,551,021,056,098,654,777,682,784,319,516,611,186,256,053,
258,683,745,903,069,352,410,093,104,502,026,731,338,259,238,244,112,738,660,
584,612,458,326,335,499,803,033,762,430,340,046,294,028,808,147,966,384,445,
419,338,869,054,327,223,700,220,688,909,763,003,389,351,035,766,700,403,135,
544,584,836,794,617,513,138,568,816,434,075,544,736,566,130,503,901,631,504,
205,463,541,992,932,783,867,122,955,089,033,398,522,475,268,866,996,497,123,
479,315,418,402,255,523,965,411,225,989,136,260,283,484,785,810,021,265,659,
050,404,626,620,774,478,325,214,604,289,995,641,845,286,223,989,847,172,535,
237,311,931,169,490,155,880,338,927,313,396,758,368,030,331,225,638,528,433,
413,674,602,627,259,051,979,562,483,019,566,144,882,272,375,704,618,045,250,
457,438,779,625,845,479,630,357,448,004,423,611,536,563,299,688,319,941,844,
358,048,817,137,602,408,927,722,531,952,784,561,085,605,815,902,245,650,567,
766,829,980,735,362,224,420,804,755,245,509,334,531,835,002,534,846,861,183,
574,558,780,283,202,741,101,306,244,972,739,216,314,982,510,394,046,096,579,
087,655,760,622,893,606,987,284,435,442,861,966,675,614,630,194,299,075,785,
942,935,141,698,515,168,530,591,038,217,968,751,739,326,541,455,965,031,449,
499,645,833,598,172,425,948,951,567,744,254,251,853,577,936,452,824,667,794,
025,830,944,127,355,910,307,057,885,915,531,338,238,256,995,587,555,054,473,
083,047,910,555,137,921,592,185,892,254,766,363,806,793,626,952,158,474,674,
986,187,721,235,573,300,914,519,936,736,442,677,572,603,497,515,400,660,718,
631,391,876,876,466,382,441,252,116,759,988,450,376,956,621,876,302,334,496,
714,389,776,398,119,842,751,859,914,798,767,306,720,888,896,910,358,940,299,
257,428,818,918,918,077,710,012,862,573,913,358,067,799,378,230,127,084,866,
858,736,036,738,075,454,179,959,975,193,551,785,407,997,040,832,338,156,255,
338,999,586,284,181,057,594,239,549,094,874,614,897,517,266,031,864,917,795,
569,824,351,039,004,312,275,287,849,044,818,669,707,521,908,660,485,777,832,
310,278,984,522,109,301,058,619,694,098,326,975,360,035,043,489,155,209,101,
360,350,505,120,890,816,096,886,230,177,331,030,066,838,668,311,351,725,563,
977,777,728,100,262,138,250,600,414,918,411,161,054,749,429,327,043,748,863,
911,316,641,997,631,351,275,603,961,786,056,585,228,254,351,785,445,555,310,
454,210,276,602,676,408,945,876,227,611,753,240,036,840,584,384,660,137,132,
100,282,053,623,560,968,216,416,807,611,120,806,574,214,555,352,539,290,721,
576,207,979,239,521,067,760,574,565,455,424,698,880,413,693,568,192,921,801,
605,919,896,628,617,253,465,611,188,047,743,041,863,605,011,888,756,484,681,
690,094,853,177,006,870,325,425,776,350,129,116,548,717,777,345,937,552,084,
764,987,084,549,951,788,189,161,913,996,166,523,905,804,159,851,854,963,304,
848,895,379,130,356,566,796,561,585,902,205,665,675,309,859,192,932,596,049,
661,568,140,997,619,637,417,699,128,344,179,662,863,604,084,738,452,591,974,
923,755,108,491,318,764,123,788,349,104,844,312,479,445,996,387,389,667,419,
617,403,530,386,189,954,284,365,718,187,601,498,380,380,717,481,250,173,399,
856,363,964,947,022,348,998,137,279,372,169,497,671,708,306,982,087,810,577,
054,981,874,755,615,537,931,593,429,654,481,263,483,598,231,183,312,869,627,
632,610,139,466,787,077,533,500,884,994,638,120,856,256,250,329,479,899,032,
780,019,402,686,892,052,654,562,415,255,637,441,025,685,563,044,645,560,080,
775,660,199,842,002,117,636,150,298,197,059,476,784,427,029,406,519,216,047,
732,600,518,346,126,140,968,334,131,127,005,968,506,558,462,128,689,958,893,
078,117,403,245,092,688,094,012,606,762,921,424,376,320,515,012,966,990,163,
515,748,217,819,583,822,577,558,678,849,058,014,607,698,338,938,753,702,078,
779,167,668,781,925,436,490,834,517,055,472,325,921,102,507,555,811,550,952,
854,207,412,395,570,889,367,113,821,291,046,297,913,094,982,041,687,072,465,
870,834,465,356,485,405,665,625,990,098,395,496,054,682,155,551,277,051,286,
889,232,772,852,343,646,519,298,247,834,101,068,662,206,454,752,969,341,829,
219,030,969,870,292,480,721,522,973,678,911,825,186,965,551,990,547,149,736,
056,132,733,423,033,771,164,209,494,396,724,159,837,298,263,256,608,304,822,
123,354,366,173,843,468,075,999,482,568,490,186,291,357,603,348,942,794,661,
935,771,281,942,870,631,923,964,065,969,445,697,976,855,100,822,971,259,132,
637,638,501,480,543,535,956,060,538,442,728,126,892,696,659,477,797,969,422,
474,190,578,190,984,107,123,222,972,023,667,266,967,358,286,288,812,177,741,
998,093,886,015,067,453,262,321,420,917,588,789,373,657,714,650,695,334,008,
959,848,456,162,582,433,993,644,846,187,492,260,900,499,505,096,158,893,363,
082,540,971,143,853,533,868,083,574,976,474,787,502,092,819,029,823,456,518,
823,272,024,934,695,106,063,862,849,697,718,610,996,011,762,161,333,497,314,
100,092,915,623,229,580,713,214,385,119,504,594,969,185,163,762,140,282,446,
732,377,761,326,336,515,401,346,848,715,496,341,150,426,292,163,345,721,223,
843,550,533,512,680,278,626,389,982,854,459,374,273,650,142,338,726,719,032,
797,550,188,314,094,100,621,894,477,782,448,301,748,796,305,650,386,628,854,
684,793,772,419,157,009,419,620,355,345,823,529,277,635,894,261,318,398,422,
848,775,480,787,321,271,222,699,789,398,536,129,921,876,785,010,178,521,437,
615,398,977,486,797,802,988,046,683,142,128,938,951,196,757,424,976,956,046,
006,998,800,358,193,529,634,783,308,229,257,200,854,270,214,165,950,872,846,
810,267,913,182,777,869,525,260,330,438,995,764,099,456,993,809,554,674,352,
057,479,209,492,248,913,095,782,613,656,764,050,666,615,344,994,676,645,512,
937,122,391,055,078,235,443,284,352,467,855,425,738,349,019,260,532,544,320,
707,710,714,031,434,659,097,078,990,682,391,604,723,310,485,378,524,507,777,
644,028,601,997,252,281,518,957,146,447,556,588,087,221,218,128,585,486,967,
779,599,358,575,574,064,925,729,223,239,958,455,263,035,536,670,627,260,923,
812,205,452,456,924,217,478,073,731,021,971,944,456,828,367,728,153,067,542,
690,201,415,221,959,620,949,098,090,737,619,536,781,208,934,902,619,098,239,
984,127,966,073,490,765,982,805,640,056,564,677,955,377,257,752,344,876,757,
592,450,810,454,270,207,610,504,757,493,852,743,187,135,456,907,362,261,191,
143,802,475,844,526,009,577,232,407,055,864,674,869,880,432,980,088,568,052,
950,930,605,548,630,669,634,186,416,365,256,605,236,501,683,583,348,983,774,
056,188,179,097,384,635,396,388,628,079,494,579,680,916,448,790,129,498,508,
956,985,338,088,833,752,864,566,000,482,099,345,519,823,852,669,972,869,596,
378,981,320,612,170,805,562,518,884,305,713,830,373,204,838,909,911,763,465,
024,029,411,396,383,115,749,629,946,773,100,238,060,462,977,175,684,507,883,
259,894,888,867,896,126,880,339,390,527,575,161,620,360,105,441,549,234,538,
216,685,342,342,557,873,633,187,109,093,818,052,546,554,184,485,959,996,599,
492,442,129,939,172,536,880,625,069,974,470,477,963,691,189,659,437,435,381,
747,070,291,447,917,836,757,281,113,287,251,022,378,364,315,264,580,385,970,
549,787,078,715,120,091,091,510,143,418,241,367,273,352,108,991,845,997,775,
986,754,852,433,604,483,211,580,713,838,861,398,714,133,767,905,663,069,529,
968,890,169,374,687,950,729,100,998,510,414,225,138,887,263,081,736,196,395,
568,031,234,361,879,875,779,149,934,817,626,116,820,212,347,218,325,243,001,
520,925,486,269,304,502,992,257,152,338,606,078,110,851,649,380,246,464,242,
926,221,362,500,182,026,206,627,885,433,228,976,352,030,747,670,645,385,386,
458,339,667,461,805,770,099,604,520,343,085,745,118,061,331,245,328,321,722,
301,943,753,414,060,868,816,592,273,479,674,755,564,937,249,519,568,211,812,
557,268,325,266,675,054,088,212,747,629,578,646,829,089,428,759,568,339,317,
383,790,541,136,863,071,353,623,844,392,919,013,195,171,247,240,908,529,651,
349,032,312,824,267,496,517,683,598,797,779,790,358,526,796,516,917,841,364,
484,166,223,773,501,859,153,857,825,349,471,521,355,201,464,779,094,015,957,
363,503,749,595,456,998,690,057,293,382,660,242,172,911,806,561,288,473,659,
195,380,645,935,492,456,628,489,697,964,772,951,644,797,075,761,814,282,278,
704,951,242,595,682,869,799,296,732,186,065,601,583,086,890,555,605,767,020,
701,088,081,560,966,655,980,754,846,619,778,203,587,514,340,958,398,835,439,
792,668,477,777,895,748,968,743,042,828,979,384,987,103,231,492,360,870,241,
745,563,796,636,342,453,957,486,674,020,702,961,474,215,578,372,389,145,059,
522,477,017,339,286,724,100,757,089,892,226,027,582,868,103,768,090,115,931,
332,596,689,752,633,359,132,585,711,258,939,495,729,140,198,260,519,493,647,
664,500,492,872,050,919,860,504,798,189,435,201,569,445,086,501,832,768,142,
244,698,384,332,862,417,686,635,336,284,165,189,700,547,630,774,837,606,834,
914,423,452,784,749,183,778,451,226,056,122,209,474,985,189,694,743,595,124,
773,994,873,794,947,892,394,500,118,548,648,343,336,696,428,071,851,340,023,
578,081,356,845,340,420,048,779,697,927,829,250,898,353,895,767,571,809,448,
031,467,645,212,037,733,294,187,834,501,353,329,171,617,230,203,465,791,875,
064,563,197,145,492,087,575,090,237,866,646,528,901,002,855,829,566,387,377,
061,995,820,547,032,315,089,477,519,020,353,437,918,232,916,771,092,372,068,
281,500,284,848,813,830,029,212,797,031,797,204,870,238,558,128,825,875,253,
778,512,966,585,017,508,093,420,878,081,206,372,335,429,575,204,980,195,220,
031,785,693,733,671,063,559,115,254,307,099,977,157,974,093,963,526,987,768,
013,379,876,629,815,656,239,162,347,459,499,652,323,239,355,011,644,222,261,
501,364,884,594,843,795,294,749,692,285,976,769,449,012,181,642,776,568,088,
322,555,179,390,826,019,129,099,493,021,313,811,215,727,311,859,556,180,147,
832,735,499,847,815,701,295,126,009,387,569,911,455,655,413,172,825,257,504,
796,046,254,467,799,138,219,123,939,129,780,276,871,748,281,965,260,628,630,
508,216,040,477,173,632,679,977,921,812,164,488,467,901,258,425,383,061,755,
798,663,854,877,195,920,041,779,398,731,278,720,114,954,603,855,667,491,552,
014,857,026,965,535,180,643,157,689,127,837,841,498,773,537,118,333,573,356,
234,065,989,875,626,723,952,587,394,383,400,831,575,814,034,989,167,260,479,
516,834,516,136,864,683,357,330,291,531,860,627,540,450,240,326,384,015,777,
369,176,145,329,450,047,972,309,147,804,523,354,544,241,849,877,547,314,253,
417,583,734,749,099,749,949,306,096,212,720,980,775,728,706,971,857,400,044,
026,145,160,771,681,755,511,579,108,565,822,611,830,080,743,945,710,351,818,
341,872,980,349,528,544,021,067,625,213,064,965,084,291,885,407,374,912,749,
784,300,417,353,719,660,847,174,416,415,307,794,871,100,912,458,870,936,064,
303,144,945,843,912,434,745,188,006,867,498,611,057,658,223,001,259,491,266,
882,384,699,550,865,853,270,015,131,137,059,444,850,522,944,289,270,940,936,
097,878,356,596,899,162,261,106,095,184,769,259,128,565,974,464,267,410,254,
165,293,231,575,176,703,583,112,880,103,322,165,393,632,780,673,053,211,357,
441,181,913,149,149,292,401,043,186,057,871,107,099,590,526,740,767,864,927,
191,033,755,936,196,266,954,780,377,225,445,975,152,588,365,695,526,332,427,
390,703,249,790,870,334,439,648,974,875,779,430,963,911,072,390,668,669,932,
225,905,686,315,111,219,362,416,744,938,495,186,937,128,770,880,154,671,728,
975,991,195,420,292,724,244,114,518,866,577,689,689,153,636,934,017,450,870,
299,248,867,388,219,700,418,030,993,135,207,134,985,874,436,370,123,930,019,
511,653,594,837,594,006,429,905,966,801,992,027,322,509,560,543,314,497,807,
317,039,206,901,087,642,347,765,944,398,399,520,651,488,342,482,084,964,634,
993,562,980,934,888,565,622,510,644,948,321,286,149,433,276,267,710,146,568,
593,837,630,191,589,099,817,801,472,050,762,688,445,947,669,458,492,030,052,
900,447,784,564,229,935,628,658,106,929,728,664,787,461,819,551,405,075,631,
808,400,823,787,532,901,558,125,670,869,616,813,881,187,166,703,507,439,918,
487,230,221,089,072,049,012,730,851,333,160,793,696,164,510,132,504,804,409,
486,228,511,468,937,976,842,097,050,085,447,888,196,495,389,337,936,424,165,
830,012,960,663,824,117,239,391,851,262,327,279,616,171,738,085,597,050,690,
427,271,071,913,892,020,954,079,381,480,777,485,528,139,964,161,091,629,594,
314,476,841,199,940,715,650,947,810,403,413,095,571,735,297,562,743,201,080,
340,283,961,298,764,173,519,129,187,399,626,967,684,282,772,035,300,566,796,
548,992,380,189,798,239,485,282,224,819,844,696,024,098,561,631,591,785,788,
910,058,166,402,281,152,024,903,799,368,912,539,054,237,378,352,040,461,325,
383,751,766,127,225,367,057,624,767,663,758,852,194,805,427,834,275,884,046,
277,987,886,693,424,737,279,964,835,589,581,557,276,208,888,755,573,665,250,
497,043,649,692,527,264,483,527,979,592,680,024,819,675,370,186,011,181,959,
237,529,641,197,694,581,239,619,416,348,761,425,969,921,959,763,510,947,428,
655,776,128,393,933,472,596,125,828,899,883,274,832,646,510,058,123,365,590,
344,578,853,522,992,396,549,948,173,419,017,810,319,027,743,126,011,204,876,
843,504,078,090,847,565,988,287,804,991,146,918,284,322,692,591,350,091,167,
369,250,472,693,364,318,640,847,036,555,004,821,833,816,729,638,524,125,692,
684,568,980,697,157,298,798,051,378,046,348,904,415,218,022,588,521,252,204,
853,872,222,035,924,423,597,491,389,620,934,466,932,631,540,500,860,197,309,
505,917,228,967,622,368,463,012,299,522,319,082,700,284,272,015,657,635,026,
342,512,065,973,088,356,646,249,479,987,328,814,421,259,695,696,051,341,460,
171,193,671,182,064,933,296,090,098,084,718,052,956,452,330,368,221,423,014,
189,647,660,258,377,405,117,973,297,228,653,194,587,359,469,057,424,960,490,
323,388,542,781,268,572,955,365,140,894,144,079,303,280,783,464,682,188,113,
391,768,715,884,638,399,190,514,826,055,207,579,306,077,378,262,148,022,131,
192,937,073,594,275,801,965,760,343,420,461,090,902,180,219,318,029,685,686,
452,894,990,721,022,487,797,409,414,483,754,368,324,355,206,046,083,450,742,
259,123,507,237,345,223,669,535,999,683,485,304,777,845,488,757,821,632,672,
571,863,061,936,206,973,618,357,011,464,346,234,609,470,039,314,064,625,215,
121,521,333,239,031,186,258,336,892,555,306,792,639,159,548,340,107,939,238,
909,867,606,595,639,063,640,320,894,324,019,813,640,749,931,623,387,926,899,
719,381,412,216,412,781,747,358,269,449,223,985,795,098,478,923,677,700,425,
709,937,836,141,643,396,864,863,491,360,923,594,256,763,920,742,771,812,570,
523,030,435,618,450,010,651,761,803,850,293,840,792,264,260,913,087,270,474,
848,146,403,830,325,250,261,633,946,523,249,327,478,136,461,863,066,179,591,
364,894,359,952,761,803,384,727,131,524,560,721,881,679,202,470,142,019,308,
903,030,589,889,422,885,214,384,940,792,533,751,360,432,055,346,167,751,332,
727,150,967,968,857,148,876,896,405,808,127,166,641,459,456,013,994,653,787,
888,960,216,605,804,260,207,981,178,669,540,876,871,596,606,844,871,905,542,
814,589,101,930,966,037,344,886,282,807,376,937,716,399,228,663,981,809,092,
769,760,247,524,634,866,736,928,039,923,731,695,811,358,821,275,802,881,188,
745,592,162,848,371,562,375,189,302,521,010,030,562,682,936,808,183,741,416,
943,557,076,960,827,848,276,958,306,982,557,994,052,726,515,847,982,171,169,
941,374,389,637,665,565,202,582,001,722,117,072,805,132,959,041,495,161,909,
521,254,826,255,499,784,019,433,884,501,874,933,240,820,487,978,376,547,309,
918,889,231,106,437,475,206,843,728,717,969,334,203,720,043,535,024,577,245,
804,101,193,096,152,956,834,379,860,047,425,306,851,790,423,417,892,118,784,
133,924,633,411,435,987,801,233,127,816,989,472,849,076,800,389,947,081,688,
685,683,080,917,915,997,849,799,717,704,639,748,934,008,860,693,992,764,749,
916,818,079,214,282,845,392,632,734,522,902,480,220,799,057,128,045,315,760,
094,116,463,193,563,444,380,817,085,434,475,422,871,719,091,159,473,998,601,
057,385,944,347,112,711,764,612,149,620,852,303,997,722,601,562,045,971,155,
828,913,807,965,030,583,266,741,769,108,392,611,284,055,598,778,876,627,754,
854,341,028,623,741,621,309,608,552,672,700,826,845,365,234,252,828,249,470,
942,003,628,827,377,984,641,153,685,897,735,436,018,486,603,474,424,409,874,
397,874,728,831,249,248,280,754,612,347,775,626,672,144,787,151,692,751,288,
876,615,812,601,320,808,764,541,643,952,110,501,060,798,251,961,296,418,560,
630,741,166,676,997,771,600,879,260,750,084,280,790,953,191,570,479,756,233,
429,917,115,897,746,542,894,227,941,657,273,242,390,097,488,009,056,462,562,
259,031,389,513,483,608,294,641,075,777,700,998,868,239,578,140,996,284,785,
224,002,010,258,681,452,758,953,448,736,720,524,566,233,408,572,696,323,871,
124,007,618,622,275,991,851,395,513,722,641,466,414,685,237,807,873,609,687,
685,235,204,153,690,651,301,345,799,679,430,168,639,765,079,077,687,934,394,
591,001,225,233,064,949,544,954,241,564,875,436,068,128,615,041,349,772,915,
296,131,668,994,554,017,379,715,671,621,954,852,069,788,999,680,756,820,624,
466,431,504,878,614,979,591,947,131,374,439,852,111,023,190,663,426,831,886,
293,505,408,298,303,502,219,806,631,976,301,502,602,413,852,965,147,411,138,
068,197,398,533,458,895,963,858,547,563,269,181,554,471,545,340,232,224,512,
684,181,648,424,576,569,419,916,353,226,613,761,748,555,728,191,203,183,182,
541,426,599,904,625,248,134,638,134,698,443,473,285,670,688,123,625,430,810,
602,176,748,451,679,343,722,123,259,880,366,026,397,994,044,863,046,474,328,
962,752,179,578,034,513,931,301,734,694,084,824,328,005,832,841,008,327,331,
159,861,188,368,060,139,811,363,046,943,922,654,903,011,149,123,522,280,324,
686,629,394,206,665,364,550,967,251,807,971,166,679,535,085,247,285,046,939,
285,556,131,120,620,321,031,199,321,734,158,067,891,987,154,367,519,410,848,
133,603,065,471,041,369,793,759,634,443,577,070,041,588,024,047,088,545,823,
730,272,549,505,590,529,176,396,361,074,459,567,153,870,843,412,522,163,680,
541,961,545,343,476,051,306,269,013,255,884,292,820,212,650,671,160,606,069,
621,270,354,541,706,977,433,809,981,644,727,562,330,991,560,811,125,865,111,
007,874,807,765,823,063,739,138,942,097,433,720,158,389,529,740,316,272,491,
814,909,808,322,722,498,293,886,143,895,442,448,508,574,686,308,866,862,893,
394,513,954,968,985,493,320,408,488,527,092,349,262,184,108,569,306,183,983,
279,518,815,441,372,574,723,176,975,724,609,701,144,317,281,499,860,291,817,
621,056,024,770,127,312,950,110,541,028,867,279,284,669,476,407,514,045,847,
335,375,395,341,302,154,824,178,884,380,347,792,208,443,480,220,275,201,448,
138,157,160,102,511,762,226,353,149,917,471,603,196,338,896,522,887,079,148,
766,804,455,271,565,375,553,798,634,645,390,305,967,277,949,282,716,356,654,
035,958,488,178,260,048,256,393,147,430,829,006,703,503,039,516,312,456,126,
805,254,353,464,703,797,550,044,070,492,834,760,848,240,251,315,505,249,239,
961,281,721,330,877,395,065,454,784,887,080,098,509,582,608,216,421,086,045,
718,012,974,513,075,379,817,872,182,022,917,182,506,000,413,674,482,985,166,
928,296,282,748,369,676,461,875,866,144,314,787,645,935,376,604,157,311,230,
496,469,375,105,193,434,248,177,610,536,498,657,827,787,520,197,923,605,278,
056,110,917,351,817,024,002,085,564,408,766,302,042,536,610,371,552,582,809,
061,338,020,205,079,840,612,225,892,499,800,663,451,488,993,285,141,669,799,
250,826,070,792,147,455,988,983,061,797,380,039,231,013,299,258,521,334,812,
068,074,162,601,826,511,778,223,049,478,190,484,200,721,066,364,014,460,398,
201,140,342,424,069,182,194,472,767,104,641,893,278,607,132,085,822,880,306,
795,490,548,766,149,404,462,927,101,150,283,910,495,810,258,241,720,725,134,
042,871,345,023,118,267,628,054,543,358,637,716,262,405,417,561,803,451,458,
444,109,951,543,052,440,764,066,153,433,223,751,285,076,044,148,862,176,638,
445,624,033,080,836,375,756,615,824,027,664,843,659,853,289,741,191,591,110,
488,633,885,419,581,712,266,551,594,793,722,993,107,408,418,118,524,367,298,
154,965,007,634,248,454,470,898,215,664,554,800,163,686,893,756,812,398,684,
206,378,183,177,253,361,607,854,311,426,082,265,277,635,951,740,487,632,838,
181,048,575,879,503,224,998,992,199,721,376,656,689,659,186,409,209,109,417,
979,578,236,762,520,071,826,973,947,637,839,816,774,569,713,181,153,653,777,
327,333,844,457,332,823,339,836,449,543,712,715,707,993,760,456,963,367,870,
210,925,173,980,697,779,293,050,088,185,971,530,942,097,187,999,026,120,219,
164,561,746,837,721,509,757,891,785,080,873,385,773,627,534,356,029,224,720,
750,773,218,110,230,349,459,810,358,432,905,956,318,806,312,479,871,071,635,
174,010,985,554,006,494,809,650,664,290,373,211,116,842,536,915,764,257,878,
065,173,358,092,716,517,752,247,244,245,543,702,265,628,088,998,706,835,917,
264,861,931,858,490,266,545,071,013,596,935,360,513,744,860,988,604,979,439,
654,622,292,834,147,270,252,065,321,948,237,745,362,084,911,563,835,654,334,
743,312,041,012,685,729,671,453,991,531,690,546,026,652,541,890,876,875,011,
282,936,790,118,528,016,615,735,649,065,997,189,293,101,465,003,082,703,125,
827,437,625,516,258,110,266,410,196,236,856,071,351,435,291,171,643,767,655,
704,981,345,052,041,966,595,581,434,130,336,805,153,707,115,416,238,083,005,
005,408,025,026,354,693,792,598,321,672,061,866,529,958,504,057,740,624,859,
507,493,777,406,032,610,714,479,434,733,930,775,344,534,259,000,922,052,511,
725,852,348,302,110,940,763,562,684,756,836,512,705,615,751,997,805,795,346,
636,512,690,797,744,822,454,884,145,576,301,109,465,447,379,384,456,782,419,
283,770,658,227,761,613,606,648,920,490,040,454,100,149,884,508,077,544,157,
078,621,432,418,034,824,581,106,749,122,876,950,997,787,122,682,156,111,813,
077,591,352,972,278,410,870,481,461,772,349,737,983,323,398,230,595,977,281,
743,018,042,717,029,099,805,871,506,658,249,124,904,576,610,422,583,351,963,
249,678,678,189,887,981,560,782,880,622,901,060,255,773,312,473,305,535,923,
890,302,398,781,240,599,901,001,709,984,825,951,186,454,959,838,910,779,211,
299,257,389,104,180,724,076,649,174,134,976,653,352,790,192,452,817,479,097,
154,481,669,807,924,500,323,855,562,431,569,996,163,945,636,751,718,115,614,
921,812,919,526,229,190,732,916,876,255,096,960,097,326,969,851,779,523,954,
356,515,389,387,455,020,972,344,747,186,217,953,863,063,390,653,138,142,586,
826,239,862,165,061,053,571,605,492,684,656,842,446,386,156,380,267,227,599,
625,850,893,140,471,631,054,367,761,816,685,187,871,852,727,595,659,506,465,
248,542,112,650,965,525,962,027,228,641,417,755,430,112,248,087,148,494,447,
823,930,744,746,325,657,155,580,411,044,897,825,956,990,552,119,456,836,107,
176,550,068,537,605,268,252,383,559,680,664,798,454,660,400,591,038,353,226,
553,546,173,871,737,520,903,708,560,204,983,592,873,868,974,187,484,240,273,
181,536,715,199,217,392,458,882,327,932,051,806,246,575,585,053,319,169,170,
559,585,964,971,486,594,603,179,467,117,512,041,189,133,005,960,056,732,222,
462,924,888,892,665,722,437,035,768,591,290,430,342,244,209,983,127,779,451,
044,935,764,558,291,865,468,628,454,811,599,033,731,603,952,230,707,045,934,
741,061,628,486,949,165,711,729,033,676,439,713,741,148,117,404,017,473,984,
525,010,170,802,970,698,583,173,198,720,771,426,419,882,946,402,853,141,293,
831,853,281,084,827,696,054,061,680,738,438,523,291,913,419,394,949,450,968,
755,875,460,413,191,567,743,813,048,163,177,385,173,163,608,134,685,416,431,
658,402,671,701,989,537,939,999,977,929,830,665,240,954,631,338,586,347,333,
678,921,360,412,142,029,279,784,499,300,791,944,970,758,667,986,890,521,234,
229,224,448,591,609,384,693,461,735,170,261,777,852,760,002,891,941,380,375,
935,326,742,393,130,661,931,824,815,494,620,425,484,824,394,728,067,263,013,
956,320,671,541,830,846,660,827,993,446,317,415,456,648,639,783,461,981,855,
592,406,764,146,034,404,719,032,683,480,999,335,345,191,977,351,497,349,377,
331,823,882,107,375,005,637,981,051,242,154,475,375,350,503,185,556,501,736,
338,451,509,127,452,488,994,176,786,384,702,420,710,860,038,008,223,750,771,
751,711,940,679,944,308,822,042,736,906,176,003,867,815,446,135,955,732,635,
466,449,106,261,963,704,621,738,288,455,017,236,350,630,259,979,039,147,890,
045,690,769,242,323,881,623,942,157,850,614,365,782,946,364,276,962,675,123,
318,631,686,616,776,346,762,227,163,133,070,325,384,225,004,275,424,062,307,
035,946,001,514,108,342,868,433,982,124,374,474,192,278,303,403,867,471,914,
902,024,369,433,976,142,127,996,252,050,718,619,542,401,170,915,028,998,537,
643,457,615,531,251,069,574,696,712,321,735,797,661,890,674,450,552,159,971,
564,360,453,621,117,540,077,403,535,628,145,771,350,027,594,209,560,838,134,
859,021,494,723,947,378,275,810,063,022,285,763,029,087,648,647,143,029,889,
392,068,717,847,186,051,755,373,278,370,093,330,937,527,292,650,568,308,037,
627,031,390,917,435,601,025,766,997,799,478,116,266,944,190,661,309,978,961,
790,360,636,742,057,131,914,254,217,192,811,941,788,624,740,963,678,983,408,
069,415,688,149,927,405,824,401,041,817,825,953,447,021,470,977,861,132,157,
502,618,605,933,342,003,555,924,689,988,037,886,612,547,464,836,900,212,564,
423,081,814,748,810,505,712,943,501,382,997,413,724,723,345,100,796,209,741,
597,188,426,804,502,487,045,420,563,878,959,717,620,929,916,920,815,759,647,
799,869,557,867,832,772,468,645,238,213,033,842,775,424,309,127,575,718,349,
237,132,256,639,721,029,894,008,909,061,245,365,493,127,179,088,750,746,112,
311,325,798,522,150,286,500,868,514,469,507,210,208,983,584,752,776,127,107,
074,515,808,792,708,200,339,999,650,332,803,617,825,189,479,179,786,478,629,
733,581,413,584,288,787,160,555,555,011,421,279,836,751,486,494,575,848,858,
210,547,456,261,050,010,997,222,232,317,826,441,310,030,173,249,340,112,243,
463,263,012,510,169,488,705,510,499,414,940,828,676,749,884,342,856,545,633,
811,265,777,019,039,262,374,727,014,869,155,608,827,814,749,674,245,535,197,
337,383,851,991,849,513,049,730,490,467,469,769,596,899,242,359,263,265,693,
267,778,276,859,814,919,976,272,088,970,349,095,201,847,181,482,422,883,044,
894,435,516,410,365,648,432,187,067,155,457,136,362,767,604,783,164,285,535,
300,191,818,208,607,382,711,694,536,182,500,469,807,616,946,650,583,119,963,
486,363,875,970,881,593,885,413,160,663,660,591,608,392,718,343,773,949,725,
353,245,461,264,455,150,522,575,240,465,003,094,592,784,041,968,247,758,752,
625,037,678,068,746,106,303,947,137,955,470,547,860,950,585,137,016,789,536,
242,121,446,859,029,171,584,583,797,510,741,519,226,933,687,355,567,684,740,
645,507,068,110,605,119,090,482,537,268,624,182,499,989,382,168,401,287,872,
288,486,591,262,633,217,755,541,507,504,987,962,895,866,797,735,432,356,657,
896,714,101,754,551,530,889,951,548,991,866,704,461,316,190,653,994,837,208,
624,766,838,956,123,091,050,178,701,202,897,083,138,316,022,760,197,481,381,
196,402,171,177,887,252,571,001,202,312,082,542,899,660,597,260,225,668,245,
264,085,861,859,604,510,741,637,125,180,876,342,338,119,497,975,297,750,293,
040,608,432,282,466,549,966,983,704,084,595,927,311,748,731,896,177,916,758,
848,803,027,158,974,583,256,865,223,123,978,458,945,379,656,774,694,865,719,
258,949,561,743,432,926,874,007,435,757,939,680,322,374,683,560,387,496,774,
028,468,729,816,381,765,770,377,286,623,388,088,180,787,544,189,093,225,651,
065,751,392,459,508,267,657,161,776,173,798,997,604,820,620,891,539,701,164,
041,956,056,486,877,784,969,977,951,775,446,948,611,284,633,047,745,749,255,
509,047,891,402,622,001,834,693,222,431,284,947,574,401,987,890,815,778,347,
940,302,543,695,661,506,473,435,627,211,545,302,556,394,698,487,661,386,194,
381,840,437,009,242,316,733,230,913,309,595,147,021,348,323,455,978,060,064,
439,819,125,116,096,839,250,396,075,103,849,776,770,420,712,578,580,049,194,
316,090,157,251,785,369,182,558,602,282,015,359,658,968,640,738,793,246,830,
305,336,997,010,465,489,437,485,401,159,025,521,521,411,824,969,223,164,071,
832,671,550,205,162,138,253,127,981,676,895,731,279,452,178,361,138,633,975,
544,237,004,202,454,804,845,297,273,849,597,903,850,576,294,776,848,583,852,
992,841,451,557,932,405,676,985,121,042,246,561,629,469,291,928,439,429,974,
806,081,800,968,472,288,958,620,409,927,958,168,338,182,878,582,168,318,293,
123,352,411,923,988,939,328,995,885,062,809,727,508,669,670,692,515,740,680,
206,395,176,094,678,019,569,637,053,512,952,663,794,916,292,285,198,930,695,
238,777,411,625,337,206,805,520,547,668,965,913,080,565,946,838,234,905,564,
277,291,051,938,697,992,199,107,129,833,391,948,662,416,338,141,262,480,961,
334,141,146,222,122,958,157,568,222,318,038,660,216,354,722,383,959,151,421,
262,462,293,322,883,665,559,954,207,444,920,958,705,849,649,109,306,245,444,
784,771,846,634,288,671,663,509,476,179,402,426,214,189,863,284,747,444,427,
576,494,958,098,277,273,919,180,989,638,836,239,432,189,610,459,206,144,834,
213,402,123,785,880,630,121,201,769,397,791,426,784,216,071,483,654,165,555,
899,977,109,801,763,681,494,968,328,168,088,887,941,950,123,767,613,773,006,
538,852,939,445,432,479,006,801,957,682,719,568,060,800,094,791,837,256,912,
132,762,222,007,058,388,697,562,026,050,353,384,897,332,871,471,349,119,240,
001,139,310,687,737,541,899,137,290,587,197,183,795,731,251,756,048,948,651,
254,225,527,599,359,600,446,511,568,764,010,252,467,572,880,813,998,721,497,
598,585,840,194,900,435,649,322,019,876,569,946,399,753,824,027,310,964,244,
473,229,769,576,699,290,116,378,523,713,782,965,091,756,485,863,549,956,018,
215,510,162,731,665,111,403,711,453,208,349,094,494,196,317,556,812,258,108,
521,512,855,024,109,749,756,031,580,032,422,777,231,713,394,366,695,227,448,
193,398,308,566,767,855,446,771,085,605,253,309,323,752,798,469,153,965,411,
356,537,822,390,619,261,811,267,037,265,185,192,133,513,556,805,516,331,167,
654,720,783,293,867,998,132,633,312,828,744,160,016,310,085,360,639,575,000,
251,213,936,051,105,761,217,188,914,909,268,231,193,402,474,077,943,669,681,
753,778,850,496,117,659,590,732,153,772,511,433,951,662,076,872,466,683,253,
262,480,204,958,946,009,586,874,195,457,307,778,743,318,027,739,548,614,710,
384,411,942,871,577,205,833,339,665,879,703,837,102,836,289,644,917,365,899,
237,979,793,124,625,661,970,978,416,969,150,192,394,556,193,970,944,518,778,
905,060,455,502,469,196,334,216,291,628,302,096,785,122,060,872,104,380,259,
256,236,789,448,816,703,318,478,084,727,659,099,062,335,731,698,682,045,840,
216,653,685,520,769,669,077,687,913,894,650,868,558,437,043,705,042,508,686,
624,382,631,634,652,543,426,029,461,932,719,688,966,881,967,157,324,560,973,
401,870,148,500,445,859,809,292,554,068,760,514,775,098,637,851,808,941,586,
424,378,315,531,314,425,868,368,219,602,738,560,169,497,760,943,179,746,196,
137,832,265,495,045,978,444,313,650,564,485,802,486,532,244,143,734,475,095,
459,771,521,875,322,751,233,190,961,070,695,762,312,748,192,383,265,037,188,
054,479,781,617,028,489,211,544,844,836,281,227,803,996,230,800,866,174,688,
156,368,452,182,352,233,125,489,705,769,379,472,123,961,793,076,135,299,909,
040,169,694,715,338,476,088,286,301,190,803,996,591,304,380,087,796,981,121,
380,443,095,432,549,172,497,557,926,955,236,928,458,801,353,117,745,547,218,
302,380,029,258,136,892,409,970,368,834,771,708,244,781,681,646,770,073,088,
279,677,712,871,101,889,321,439,849,736,282,446,163,849,776,729,607,463,417,
439,010,620,812,606,910,800,998,701,750,172,227,329,945,105,656,278,426,960,
487,940,843,310,207,158,367,139,363,370,768,080,166,949,417,363,946,911,536,
377,551,271,631,648,402,060,210,550,876,280,414,329,841,887,552,434,171,750,
383,215,925,548,177,427,101,925,521,799,472,039,614,540,066,242,189,727,981,
626,092,047,737,602,153,070,643,479,122,844,770,811,653,630,021,300,527,149,
675,874,046,760,897,193,861,521,611,642,979,227,015,243,195,900,511,158,779,
047,133,305,389,218,900,800,307,428,149,879,702,782,303,818,879,395,314,201,
861,902,083,434,496,560,325,034,255,963,529,308,315,646,413,509,729,641,121,
750,169,177,573,225,886,780,646,637,518,162,863,585,068,871,402,194,566,694,
775,151,086,011,382,200,029,424,278,857,698,409,516,011,780,452,113,182,021,
453,381,840,691,891,452,419,603,399,820,491,292,321,679,496,516,003,404,127,
030,445,833,795,490,489,240,712,493,155,478,566,996,486,823,577,918,091,824,
991,924,426,047,764,423,754,310,933,005,167,027,704,528,170,304,576,345,761,
531,297,148,847,120,466,172,149,390,879,171,154,595,979,877,366,704,268,252,
782,325,830,434,267,916,326,368,797,902,294,912,443,971,143,727,970,786,084,
889,407,193,110,722,442,182,868,858,888,989,754,588,743,846,334,776,999,869,
350,172,406,060,791,110,677,972,794,950,440,686,905,086,894,487,341,880,399,
015,801,084,019,304,190,157,420,567,876,336,044,008,346,583,800,391,020,000,
370,077,007,830,503,190,682,896,918,543,323,113,300,219,173,223,180,620,596,
762,895,870,548,076,633,951,828,744,740,217,382,387,299,555,549,535,277,450,
848,350,327,062,135,768,403,935,809,033,544,780,499,795,591,454,779,776,522,
214,095,664,199,343,138,929,109,362,798,260,023,769,611,293,032,918,274,835,
347,736,339,064,989,376,698,091,001,426,797,123,982,432,002,107,333,058,589,
045,393,378,521,981,573,773,948,270,706,583,848,147,963,075,403,211,938,941,
411,520,711,249,120,340,011,195,319,420,746,493,535,889,381,031,308,773,589,
477,714,474,588,816,440,340,856,924,476,576,360,853,481,608,332,912,414,713,
810,028,734,978,406,961,933,081,083,584,393,231,700,482,151,865,952,422,636,
969,851,445,814,133,226,594,024,926,044,845,534,507,310,117,158,809,750,139,
723,411,998,852,584,871,027,821,363,796,279,508,707,701,986,145,969,132,765,
629,685,188,285,203,868,833,097,201,947,979,151,996,482,959,109,071,382,341,
888,398,027,844,608,197,361,157,025,794,598,357,068,087,480,055,894,796,843,
091,116,356,259,735,205,361,935,490,180,879,300,774,457,289,199,655,679,185,
199,075,655,621,415,155,831,030,008,723,979,605,603,350,722,044,965,584,718,
648,889,171,453,652,899,163,224,263,677,267,869,550,117,860,771,322,561,572,
453,221,687,526,436,941,726,083,345,622,741,417,316,296,128,291,291,122,409,
960,297,054,017,311,804,667,040,396,086,944,094,052,564,203,584,252,344,992,
323,489,845,372,055,104,501,386,989,791,641,192,512,413,959,523,900,423,394,
483,911,243,853,784,453,430,094,981,760,182,207,845,101,171,529,859,982,063,
448,395,576,762,636,762,749,540,452,089,212,374,822,651,375,984,867,921,826,
817,312,473,779,604,094,551,347,944,767,832,767,066,453,950,903,159,296,276,
843,133,682,171,493,244,334,915,119,909,393,073,304,568,185,575,118,015,141,
326,304,183,057,312,129,481,803,941,892,900,685,868,137,018,029,616,399,476,
874,274,727,109,611,300,662,775,119,740,759,726,885,038,764,671,395,449,300,
843,100,539,912,202,675,116,933,074,784,104,917,276,453,188,035,831,528,318,
127,248,436,129,120,765,858,626,093,297,386,589,390,535,300,721,430,003,466,
235,015,027,623,130,295,242,945,976,291,451,106,131,210,049,418,292,727,262,
684,517,071,481,777,672,234,936,056,995,996,165,095,020,637,871,638,264,536,
775,773,452,469,307,308,062,623,905,277,893,872,422,482,338,652,102,842,992,
411,798,801,038,664,480,117,239,390,300,522,181,911,833,636,513,004,223,839,
245,223,302,660,649,543,025,381,054,670,174,880,521,353,450,536,361,187,023,
187,020,067,635,398,263,311,018,441,434,889,328,231,491,346,096,740,313,110,
548,322,944,846,673,281,578,743,757,261,302,615,429,181,721,210,819,611,867,
506,396,889,200,927,458,119,425,254,458,332,878,035,789,829,062,195,039,131,
679,709,244,525,228,175,671,192,001,911,480,339,577,802,461,088,949,093,104,
127,120,267,841,415,752,988,033,216,167,836,724,991,700,893,685,418,376,663,
057,922,597,978,657,331,240,800,988,510,529,831,841,393,159,847,047,532,810,
401,398,398,929,349,489,316,453,838,074,143,719,503,012,963,162,709,480,567,
616,650,773,476,820,270,563,571,318,096,577,771,804,280,035,051,893,847,121,
159,687,268,558,444,936,613,426,467,512,303,475,544,953,284,881,432,301,788,
578,625,539,952,567,079,867,836,785,882,783,057,984,359,125,489,948,176,146,
595,496,865,118,425,406,902,671,549,502,404,972,649,325,677,632,109,049,687,
318,832,086,453,907,179,561,550,176,245,399,556,869,672,276,727,224,733,520,
986,573,232,261,543,841,238,493,552,523,022,167,585,679,822,845,699,527,119,
666,989,505,796,734,828,230,795,817,250,187,411,388,149,438,468,534,328,465,
223,945,809,961,946,619,679,848,805,356,212,216,277,736,070,049,042,241,071,
043,593,813,138,673,662,337,143,821,365,174,449,462,132,802,730,459,561,420,
942,783,156,241,760,252,592,296,093,711,865,690,364,803,322,220,318,226,739,
704,260,905,188,491,705,039,272,592,633,507,928,774,785,218,898,348,301,877,
407,753,137,106,341,936,576,147,622,135,675,041,033,382,905,874,185,665,804,
570,405,260,762,724,704,107,426,887,383,571,298,093,777,001,948,219,530,348,
485,564,607,995,147,441,518,830,335,362,185,655,706,342,266,295,592,505,838,
436,868,224,309,198,420,180,351,165,194,093,439,316,257,262,272,788,161,618,
414,331,223,559,861,340,187,562,726,084,328,825,202,412,317,073,002,972,752,
474,678,918,235,962,232,242,396,360,736,734,783,342,640,287,847,716,352,470,
453,318,949,809,980,852,841,983,336,641,270,266,536,410,345,636,307,465,352,
010,899,207,958,121,827,993,508,593,921,632,839,348,957,274,333,372,119,193,
186,749,544,358,750,782,550,403,440,230,835,053,063,728,287,694,391,984,900,
225,540,744,891,770,358,472,897,763,659,509,862,730,580,697,683,421,181,949,
111,060,043,160,862,048,345,871,284,449,307,159,324,238,489,220,633,469,824,
468,141,398,664,737,487,388,787,178,483,286,199,360,950,653,764,699,521,891,
774,942,558,699,043,848,620,811,450,875,332,616,350,566,221,471,416,338,196,
062,046,603,036,407,525,524,774,454,639,558,768,106,391,266,392,044,112,489,
463,435,000,983,557,176,951,628,566,085,512,783,723,181,746,353,006,995,959,
182,785,704,238,691,065,494,439,298,637,006,711,858,716,432,136,461,222,883,
699,383,109,733,567,364,801,783,955,017,295,840,234,991,583,571,364,177,398,
472,481,472,393,111,693,735,070,257,713,649,194,832,522,386,578,792,833,574,
853,195,298,482,985,912,154,413,361,893,123,381,050,492,278,379,700,235,006,
479,845,465,985,356,737,695,003,288,169,179,902,954,923,388,290,375,213,360,
423,357,303,583,884,784,756,990,282,569,583,431,809,218,447,982,293,717,555,
630,173,312,977,177,872,905,410,741,913,986,658,925,848,486,779,601,837,336,
856,996,684,045,195,111,331,295,992,626,686,671,776,200,356,851,171,171,934,
689,518,565,668,014,581,441,095,357,912,858,762,922,621,514,030,472,856,355,
008,979,145,604,575,918,187,328,580,879,008,744,362,785,175,245,734,064,307,
747,620,851,689,056,250,490,882,323,382,999,901,190,630,192,066,925,090,518,
373,823,172,439,568,403,481,126,082,516,316,447,913,328,513,230,975,455,609,
593,262,788,358,825,072,215,950,483,108,966,840,562,446,825,605,026,750,048,
783,746,364,407,851,111,217,519,144,591,033,064,930,540,583,411,884,610,280,
537,833,333,467,974,973,097,843,980,056,093,302,003,669,640,271,361,464,937,
293,698,733,145,428,584,308,042,118,051,417,225,923,068,391,295,785,796,474,
126,311,209,922,310,835,523,636,388,578,404,780,042,223,294,208,548,373,495,
124,216,104,728,714,242,829,017,709,393,118,610,625,765,045,473,610,657,794,
173,769,117,438,061,772,878,173,217,120,245,068,995,733,622,856,263,038,580,
543,252,341,402,333,017,991,722,370,160,810,095,479,517,398,263,695,453,085,
262,568,939,046,625,740,627,609,680,289,139,542,609,468,099,534,713,271,212,
956,536,729,209,517,792,537,184,407,841,547,638,207,249,465,130,866,651,058,
438,444,905,985,575,943,713,269,706,801,988,772,108,592,710,777,371,847,593,
043,123,497,400,074,148,134,723,066,604,052,881,252,000,451,371,115,193,240,
683,159,748,928,438,894,493,562,839,261,342,529,775,220,031,468,484,680,588,
661,630,803,801,859,088,786,526,330,026,861,475,638,017,607,755,455,405,421,
559,931,404,727,394,420,223,133,116,573,429,149,576,145,225,188,330,033,531,
689,496,130,253,089,157,381,142,906,425,278,904,740,394,791,765,015,797,333,
906,093,256,595,361,012,887,067,551,556,697,020,686,458,960,463,953,444,184,
801,985,132,884,103,273,004,612,492,771,846,579,676,083,153,100,583,705,082,
606,740,669,193,455,823,318,648,181,300,274,202,000,833,994,659,059,883,208,
410,851,014,573,578,532,376,062,750,967,607,636,528,428,321,716,448,964,763,
658,421,383,170,822,143,686,858,743,273,628,250,542,055,942,071,735,480,333,
260,285,141,224,897,625,532,454,019,859,465,195,493,421,253,761,874,995,457,
525,013,456,147,759,650,085,318,323,937,580,968,768,244,151,610,104,988,849,
247,514,794,652,569,030,660,578,813,752,058,306,787,402,846,870,941,349,689,
671,996,828,675,618,051,631,128,186,797,573,270,114,177,506,006,528,537,555,
498,054,522,919,149,209,774,931,422,540,802,790,023,762,798,557,983,719,406,
233,497,998,977,858,497,394,680,779,641,614,827,000,556,431,922,373,264,427,
082,496,189,810,736,692,543,835,859,362,225,409,814,970,511,963,241,816,292,
295,938,625,704,103,693,775,578,708,868,718,377,282,553,353,730,918,839,127,
846,485,938,484,435,463,786,265,451,750,201,589,894,323,512,233,566,327,446,
825,704,131,543,762,245,128,605,554,467,018,105,698,947,629,858,184,911,554,
636,484,909,629,092,883,942,172,170,489,903,461,780,986,359,373,431,679,667,
727,944,465,351,065,872,617,891,519,937,429,254,852,489,662,991,956,460,382,
117,910,741,363,799,307,389,585,943,816,094,552,835,320,070,078,081,470,686,
475,365,015,452,454,496,252,927,883,682,303,273,607,920,032,870,891,015,733,
056,388,379,624,362,939,064,224,434,126,796,023,475,109,250,323,398,290,488,
447,925,498,514,972,908,386,603,588,696,639,989,632,396,673,073,255,506,846,
716,717,672,798,867,369,992,316,025,717,661,764,200,092,298,849,965,219,951,
006,235,216,558,235,014,981,985,626,551,394,172,995,538,944,553,442,715,927,
299,915,441,327,893,030,578,472,940,038,370,941,247,593,842,886,114,296,638,
205,153,665,420,820,120,838,618,406,772,472,044,128,602,995,450,631,189,944,
034,720,328,945,379,039,491,071,927,161,776,314,573,205,005,839,944,869,182,
921,061,009,475,665,860,756,310,065,585,039,527,416,798,803,643,290,654,054,
577,895,753,433,409,770,472,194,408,644,681,125,356,558,854,151,748,915,180,
643,438,222,985,477,851,441,169,342,482,482,832,801,388,196,404,237,518,873,
522,370,406,590,714,416,596,640,563,641,891,114,478,584,885,144,882,509,058,
647,156,004,069,103,818,257,778,687,532,058,763,540,746,128,209,462,756,143,
782,389,364,710,313,086,048,535,505,032,735,465,852,985,626,708,990,407,191,
894,300,594,866,349,784,881,393,133,390,104,071,249,015,310,467,489,574,003,
045,358,706,121,007,580,112,888,341,535,726,644,321,976,366,518,183,722,309,
887,174,837,937,774,919,609,787,657,712,622,536,691,632,456,767,527,165,543,
152,656,480,769,970,689,980,470,934,176,546,423,810,625,663,108,652,152,043,
827,732,663,619,111,169,788,007,142,038,121,937,929,953,218,842,071,361,085,
884,760,115,465,023,178,688,654,243,376,840,352,219,974,436,434,048,047,720,
985,187,510,418,933,607,455,601,061,718,205,952,195,505,138,896,437,177,707,
607,168,781,707,297,238,434,935,063,113,631,692,725,407,327,747,030,241,795,
367,890,847,848,188,478,070,891,771,788,580,793,115,494,138,644,517,067,782,
291,937,689,912,144,954,666,693,111,700,560,023,152,629,186,412,737,720,297,
859,750,950,578,985,214,864,652,153,025,851,258,688,010,604,002,615,007,992,
045,117,915,797,153,019,741,620,548,339,035,901,282,323,252,505,482,523,186,
614,483,128,182,660,803,994,139,516,126,343,574,263,156,753,525,865,754,192,
043,409,121,504,968,222,763,345,002,235,596,666,818,926,806,367,668,226,444,
564,946,893,062,952,694,712,319,124,896,128,214,638,206,185,098,042,175,365,
635,994,473,395,284,446,392,846,940,231,571,845,705,564,577,445,715,425,654,
670,535,551,958,619,524,549,429,524,038,465,317,886,474,317,238,608,246,868,
386,252,469,101,627,732,721,649,188,528,014,300,502,081,008,714,626,792,914,
221,813,797,765,275,498,304,494,472,891,694,291,525,662,604,806,870,808,526,
227,033,267,328,911,146,656,148,073,823,271,486,554,168,919,394,618,709,109,
626,212,040,647,247,237,766,127,975,034,391,978,883,648,923,842,668,545,608,
504,192,554,682,196,036,646,163,103,053,427,811,931,820,805,098,917,244,180,
443,337,148,895,780,786,829,826,513,463,162,817,527,749,444,397,603,314,346,
790,031,331,941,621,202,559,269,999,657,914,037,114,148,842,292,036,275,869,
057,556,559,373,338,417,486,094,409,669,934,594,259,559,522,172,920,155,035,
740,077,856,365,729,857,293,473,861,595,017,857,155,648,763,917,088,317,142,
967,006,365,344,703,929,265,534,504,958,587,088,572,564,552,842,024,791,264,
303,537,826,491,374,446,191,459,644,180,979,452,141,551,748,245,465,498,380,
488,229,385,487,547,559,035,707,127,233,078,924,037,340,533,701,963,821,855,
839,610,767,128,546,558,819,122,355,397,006,166,548,553,640,580,467,274,328,
522,941,161,805,416,574,024,148,660,227,911,795,541,089,081,175,727,970,984,
851,173,396,671,012,862,760,930,386,095,540,786,670,118,513,764,754,503,727,
377,135,867,039,154,172,836,530,044,572,017,307,335,997,835,512,228,463,701,
198,983,451,607,620,457,484,354,930,291,290,807,175,353,695,458,462,640,848,
164,672,195,995,155,134,024,289,020,929,950,078,283,276,817,379,432,677,186,
038,797,788,626,198,100,518,714,274,036,635,564,025,101,950,881,430,586,156,
930,191,442,256,958,004,528,834,098,923,029,322,728,117,558,575,091,775,238,
588,875,775,444,390,871,139,159,566,996,154,756,725,187,143,002,658,469,778,
810,785,312,940,005,281,897,233,709,980,301,277,844,079,122,189,448,468,035,
140,152,742,411,465,744,390,131,625,300,139,335,304,223,483,814,216,097,580,
364,541,565,156,504,497,804,321,730,923,645,624,244,887,872,927,601,339,194,
042,674,335,646,032,790,548,642,214,439,276,130,039,861,484,903,575,552,689,
610,585,997,639,950,892,485,393,839,984,467,286,542,289,639,854,826,995,441,
812,469,086,704,100,183,541,015,381,540,050,349,533,873,669,263,856,508,540,
606,558,822,286,045,132,597,332,298,102,590,907,120,206,225,683,749,263,314,
238,105,353,824,019,229,562,554,520,734,251,048,017,284,189,176,599,007,388,
031,390,583,388,926,621,428,451,067,120,851,958,601,392,678,627,271,028,274,
812,170,529,892,757,975,349,733,263,105,790,767,451,859,395,462,738,202,847,
247,668,449,676,492,848,904,236,428,372,553,324,047,441,113,333,361,076,597,
539,868,819,296,088,854,549,314,332,806,359,253,147,171,510,780,441,268,195,
171,304,359,929,464,202,846,145,449,534,761,282,009,233,431,477,033,665,439,
214,112,971,611,769,090,301,959,705,634,199,918,956,466,040,589,031,840,408,
196,150,065,033,947,854,860,658,555,498,260,784,175,331,652,958,435,391,994,
591,121,803,765,337,359,231,611,730,034,537,473,331,499,464,158,873,309,380,
266,419,010,634,737,408,811,156,588,185,425,772,700,762,377,610,813,517,274,
314,276,292,934,678,694,794,635,801,806,820,203,234,633,393,693,112,555,272,
953,604,485,209,357,257,519,002,210,775,373,059,063,567,756,935,918,101,597,
811,748,800,219,544,457,526,173,928,580,049,239,193,321,058,930,023,214,904,
247,179,148,268,331,175,736,865,285,839,643,478,503,819,082,361,865,676,807,
012,777,733,366,299,374,786,062,797,801,441,340,897,254,438,382,221,507,552,
627,406,786,042,170,518,127,253,315,585,769,486,245,557,334,468,456,561,325,
599,943,369,902,247,689,117,281,610,534,369,304,219,224,222,110,729,043,557,
983,535,011,799,410,128,182,489,082,574,925,515,566,782,401,930,206,683,175,
270,032,804,555,775,979,513,872,229,720,597,605,810,228,217,231,714,635,530,
155,707,507,477,156,381,875,155,429,711,508,985,985,848,693,770,421,334,743,
113,128,972,181,778,050,100,126,097,439,641,991,593,383,812,399,775,646,080,
282,968,112,145,385,690,208,038,341,306,109,499,377,894,031,511,806,567,882,
805,000,913,553,822,852,482,627,718,696,370,925,592,571,065,723,452,974,821,
126,556,005,080,476,070,976,791,604,804,321,724,947,610,224,084,607,335,492,
261,153,673,670,789,025,595,082,150,599,520,519,575,654,909,366,236,687,784,
850,908,573,182,381,225,058,637,350,870,976,974,746,615,803,883,493,341,435,
299,678,610,468,978,284,419,187,069,359,168,971,827,925,434,659,680,366,464,
823,945,239,071,737,776,727,691,604,301,896,129,738,344,456,201,673,181,042,
553,048,633,688,020,354,950,390,380,065,826,622,333,668,089,398,138,050,920,
352,406,818,386,277,304,337,736,111,139,754,430,800,988,884,307,938,964,287,
577,691,278,232,670,977,687,315,874,713,315,601,439,148,938,590,297,430,906,
955,024,859,825,908,745,389,403,727,722,274,444,095,585,915,441,897,101,169,
353,171,209,768,632,415,418,822,968,762,928,017,316,591,339,736,995,600,270,
792,606,805,718,210,914,603,717,891,272,336,676,039,615,378,904,236,604,465,
388,122,774,169,427,921,611,396,880,361,278,683,419,058,806,417,926,795,842,
051,687,967,980,556,197,383,073,858,575,023,140,674,097,890,357,915,189,434,
942,195,788,598,805,340,294,299,864,536,191,532,892,372,420,702,774,965,381,
610,645,973,096,608,514,224,459,829,856,570,933,388,166,768,163,460,697,480,
386,230,416,344,617,684,320,393,187,671,531,923,326,122,906,567,975,024,134,
372,605,313,904,214,074,827,472,084,572,026,531,689,737,254,995,699,101,889,
778,761,005,458,136,224,866,248,982,605,818,102,543,933,593,517,390,058,961,
296,736,140,398,822,270,095,109,671,517,131,517,219,749,467,071,609,499,818,
226,207,299,942,911,528,371,205,515,710,934,680,758,483,933,088,392,209,292,
372,756,968,813,141,170,471,533,586,190,524,212,176,004,137,218,365,122,981,
781,471,319,239,230,487,677,369,512,668,967,627,217,249,397,150,773,616,522,
390,605,553,272,063,394,663,549,370,183,939,053,820,789,778,534,382,280,587,
405,560,923,744,779,590,528,071,829,930,403,898,106,871,479,634,318,343,730,
914,638,115,289,564,491,168,436,058,810,837,604,927,648,136,917,737,944,198,
942,537,912,894,512,670,725,340,616,158,506,124,690,350,108,638,268,028,665,
416,564,521,902,947,641,240,080,328,641,941,396,704,144,421,892,576,251,949,
258,960,843,747,575,780,995,798,621,488,263,975,416,485,278,408,868,555,112,
186,133,497,983,898,330,792,349,651,749,893,705,997,814,643,448,883,677,699,
910,251,424,690,242,088,708,616,575,061,701,491,102,956,207,912,654,588,645,
639,106,417,054,811,608,655,809,830,385,579,931,863,944,235,035,182,110,539,
246,222,931,058,300,277,453,223,554,086,815,355,408,037,632,975,254,841,108,
754,236,591,043,827,606,131,526,489,735,160,968,803,018,389,110,617,280,102,
696,790,573,785,818,180,663,421,999,047,654,551,525,540,938,273,451,887,347,
357,247,942,839,569,221,584,604,039,524,527,165,256,716,169,658,364,023,758,
160,857,346,087,291,075,318,005,907,516,179,729,431,677,554,726,890,453,640,
453,059,597,237,601,258,775,312,118,883,209,377,282,600,423,356,089,744,337,
053,174,279,742,925,419,129,904,200,783,779,140,079,802,560,449,347,613,040,
779,801,360,599,693,688,765,189,165,191,697,518,590,553,761,353,178,704,484,
653,080,115,788,025,996,846,121,619,076,140,921,638,628,370,978,490,524,601,
955,316,165,936,581,724,760,403,938,456,652,876,416,928,460,868,085,287,822,
636,301,076,294,856,151,089,457,278,319,736,248,275,333,099,507,697,296,164,
833,339,312,612,206,283,733,281,432,313,440,747,441,501,711,452,272,230,806,
450,065,268,542,401,768,069,125,119,547,589,951,838,686,893,862,983,552,535,
971,843,081,503,629,271,119,705,431,905,867,976,264,588,811,716,109,237,690,
679,582,744,088,922,657,096,846,247,429,926,968,235,178,946,373,198,819,638,
571,296,253,966,960,778,181,778,015,556,256,267,370,822,042,674,039,730,660,
100,497,152,572,747,629,710,924,788,799,194,900,361,012,488,055,687,653,520,
401,726,587,819,372,618,774,092,365,194,432,197,961,694,278,012,107,191,727,
585,068,344,473,200,161,280,814,634,612,472,772,860,643,477,718,526,186,677,
940,801,738,459,312,365,862,825,230,213,445,831,894,025,451,805,494,280,809,
578,812,893,002,568,807,082,230,983,087,525,254,889,025,566,715,427,663,979,
694,231,316,886,987,203,400,370,551,258,515,862,419,291,485,613,439,385,450,
334,696,115,735,020,728,141,569,532,570,606,414,968,806,659,550,278,748,730,
744,994,988,689,369,734,778,614,370,074,618,371,922,463,761,717,775,852,601,
321,205,092,179,836,803,172,972,322,822,706,113,130,173,215,790,266,491,148,
912,663,098,049,853,004,618,895,224,667,663,573,397,093,178,890,946,056,657,
599,091,848,701,016,270,651,325,445,911,005,799,454,931,720,915,369,787,141,
755,260,390,576,903,014,419,960,871,076,863,706,257,519,871,783,863,483,343,
467,116,329,894,151,546,376,491,549,406,698,750,887,505,639,652,788,966,598,
812,963,683,058,628,547,421,723,975,316,737,081,806,510,538,178,089,766,292,
991,711,216,524,889,078,592,184,467,856,861,151,851,586,828,914,749,291,264,
658,938,090,606,600,658,920,696,572,479,885,935,097,203,632,250,837,811,245,
598,496,651,553,105,152,434,510,675,475,845,999,354,708,770,530,885,303,512,
182,327,254,369,191,035,904,027,522,344,220,784,023,108,005,774,287,969,737,
788,385,711,393,793,831,770,898,791,080,855,006,735,231,855,733,149,876,284,
188,541,406,839,227,654,090,877,292,706,020,535,269,696,692,004,389,984,947,
390,378,482,732,941,887,236,501,659,248,697,111,720,835,840,349,021,346,667,
488,310,942,938,800,453,722,334,935,832,374,998,777,467,259,099,972,232,059,
796,594,336,117,685,025,160,042,019,884,101,909,804,221,172,113,067,371,674,
923,126,562,912,819,670,500,617,864,317,247,900,900,703,169,282,963,387,923,
948,857,973,787,538,177,526,957,212,451,857,237,506,480,573,815,040,025,739,
303,789,431,221,248,960,332,976,478,080,618,708,802,091,737,749,106,134,759,
804,186,238,719,209,997,936,655,147,874,350,258,507,872,774,238,268,608,831,
127,522,315,808,611,803,538,254,105,150,228,564,265,087,492,352,874,810,195,
194,159,199,774,707,434,843,817,022,684,647,002,415,089,275,710,735,880,446,
065,959,581,876,660,981,133,182,150,590,703,758,576,941,794,086,537,587,711,
954,218,871,111,114,599,182,894,606,683,383,909,127,884,017,887,557,163,871,
604,606,578,710,579,527,067,628,488,488,753,007,995,121,603,387,456,259,518,
893,915,272,338,167,349,664,532,571,814,501,366,325,173,791,676,904,723,248,
794,445,496,311,482,886,969,639,471,491,531,996,892,436,815,929,500,369,206,
393,083,038,504,826,714,992,744,337,288,741,570,189,818,679,208,289,357,401,
080,695,671,860,979,649,124,176,424,345,212,189,306,557,140,466,037,764,793,
255,872,420,217,694,216,740,580,395,067,839,855,398,614,430,436,077,640,526,
899,529,109,711,301,364,081,462,141,196,905,286,348,106,421,482,351,441,217,
941,032,326,235,429,803,229,112,195,295,898,086,222,104,265,058,192,332,517,
452,798,899,465,166,105,317,092,544,132,061,278,623,895,813,654,297,032,642,
777,710,274,678,964,837,032,802,408,838,248,189,900,685,647,510,491,418,871,
645,844,465,395,617,028,166,277,190,289,888,701,049,017,723,751,546,872,241,
236,019,573,803,010,099,743,683,719,324,022,767,004,796,790,218,528,754,265,
436,464,944,799,446,645,579,392,062,949,035,449,505,345,560,715,185,142,530,
427,044,292,610,809,311,317,935,928,691,734,300,666,780,965,372,226,555,470,
534,203,881,609,347,259,884,724,106,205,978,785,309,519,163,251,383,647,829,
208,300,771,087,170,433,573,432,695,279,502,676,007,107,849,098,100,265,367,
026,157,202,156,233,566,873,558,554,149,853,044,140,991,002,933,766,429,287,
263,863,350,704,199,422,854,658,165,227,646,813,867,631,060,736,948,499,753,
411,075,478,321,871,071,227,648,594,292,037,285,769,676,616,180,950,502,731,
605,661,221,529,574,764,266,807,714,828,861,017,255,756,274,861,165,333,024,
901,990,916,946,364,774,370,444,870,762,908,940,562,233,841,450,183,824,435,
776,130,149,014,559,279,412,095,486,967,791,015,795,773,485,559,304,621,906,
775,305,689,524,623,013,305,735,625,959,059,036,756,497,983,871,545,869,115,
112,163,985,542,071,716,978,152,390,619,739,113,718,084,619,386,006,310,568,
800,530,523,005,654,109,708,661,904,238,649,582,003,170,384,747,257,059,538,
191,083,834,938,408,722,440,758,528,559,421,474,561,397,779,285,669,229,913,
735,312,805,764,300,181,983,680,701,405,840,073,890,264,317,280,848,342,662,
962,159,243,988,940,872,738,673,601,743,301,752,145,832,149,120,161,093,501,
349,850,823,365,215,024,802,206,220,900,563,689,738,758,159,892,629,872,362,
311,466,428,328,171,272,136,690,219,032,570,677,826,039,232,843,585,988,027,
012,956,649,198,582,103,954,991,139,713,452,548,147,380,139,257,405,129,409,
443,739,450,242,238,924,743,047,906,832,223,039,124,460,200,950,760,760,010,
520,669,331,858,289,799,113,288,578,658,584,136,361,552,680,055,988,560,191,
078,509,289,945,261,100,977,500,465,713,528,889,825,299,285,508,738,139,303,
376,839,595,478,449,624,324,086,876,946,731,672,445,882,059,059,635,422,636,
800,709,387,378,031,072,924,347,866,946,854,475,408,225,315,968,401,544,187,
015,388,665,547,674,700,483,595,495,261,921,349,338,617,615,821,639,204,949,
816,493,181,370,259,448,423,326,031,602,492,060,598,328,240,011,821,282,608,
533,776,233,076,143,699,911,217,979,181,609,749,590,956,737,528,688,448,978,
966,515,711,500,466,006,884,400,616,382,886,768,025,250,444,223,516,466,507,
414,789,263,140,258,137,217,942,629,571,667,393,839,598,904,824,190,392,890,
065,970,626,607,286,560,073,441,784,716,614,424,695,911,121,022,453,866,150,
160,467,974,449,303,118,021,572,211,728,844,889,422,146,410,045,708,092,668,
184,144,199,075,119,219,441,581,177,933,034,401,445,787,857,571,752,278,015,
276,737,828,862,310,632,741,230,084,565,167,492,620,056,126,400,931,784,074,
316,762,753,925,473,718,021,251,329,647,272,700,223,571,042,781,678,324,928,
314,931,748,686,824,309,324,316,304,220,186,777,714,612,046,906,603,466,598,
270,768,655,260,091,912,518,238,484,344,845,456,581,620,546,538,655,714,189,
924,168,372,163,998,962,438,615,955,635,136,613,945,121,532,726,287,236,520,
312,960,931,890,589,981,312,948,696,957,890,537,410,319,219,487,710,381,296,
772,802,135,491,058,826,849,279,595,881,364,349,100,427,873,174,972,116,788,
034,750,438,621,003,823,634,316,632,209,196,064,596,462,879,720,957,756,575,
726,745,657,105,869,639,915,317,580,094,063,979,398,767,403,353,767,466,892,
811,577,684,864,238,653,894,887,665,324,017,866,215,031,385,162,830,539,488,
818,617,976,414,876,559,422,186,460,017,815,235,180,876,769,176,979,343,833,
979,625,343,763,125,692,610,539,319,416,878,847,558,556,002,886,691,322,955,
989,126,765,278,441,639,136,119,231,174,036,471,007,786,133,493,320,657,266,
837,334,784,795,459,871,470,738,382,687,062,588,364,083,985,153,463,613,568,
927,255,236,157,475,109,828,875,227,185,622,026,151,432,537,543,717,147,208,
709,562,229,113,839,721,761,355,298,467,844,644,656,353,881,789,885,030,327,
665,928,292,898,183,000,102,373,417,553,783,014,950,139,981,538,038,597,205,
810,415,865,263,240,152,615,860,389,135,927,115,284,708,460,368,135,542,446,
767,255,380,859,250,684,665,804,055,932,819,765,998,220,100,491,391,761,554,
737,856,211,313,219,393,434,876,168,985,563,966,919,770,669,385,812,338,284,
037,647,740,192,755,468,853,019,721,482,440,020,711,122,903,873,224,804,487,
075,002,109,210,787,599,949,592,604,885,651,535,989,173,758,055,591,578,999,
098,503,045,398,203,278,228,127,828,384,282,076,737,759,795,845,893,238,835,
667,865,420,950,593,813,392,203,855,584,954,682,549,466,347,783,776,368,245,
928,348,880,055,426,386,936,669,976,650,808,822,809,289,198,328,404,464,903,
995,857,652,653,728,942,536,686,068,591,778,237,423,340,476,719,891,054,727,
657,392,818,863,544,282,662,454,916,391,865,673,686,903,229,426,400,216,303,
058,505,252,893,792,037,694,550,724,084,656,848,958,100,432,744,452,887,020,
493,389,486,304,826,894,865,698,406,410,525,377,202,151,083,461,411,262,975,
785,871,293,650,775,281,475,168,602,321,998,785,383,573,892,189,734,402,816,
980,834,401,233,613,624,638,616,637,498,053,141,112,840,574,885,527,312,047,
477,707,764,642,818,381,996,966,905,476,903,813,443,495,194,950,878,501,159,
756,127,044,649,806,647,976,892,580,153,333,645,571,519,242,635,723,648,773,
314,289,962,995,502,632,732,485,293,453,876,216,947,976,923,958,138,139,685,
877,253,416,889,231,931,602,168,314,454,084,116,859,488,453,834,426,802,629,
921,029,881,210,743,891,393,506,290,090,965,331,227,373,992,407,228,017,770,
594,220,982,310,519,588,407,523,134,160,374,334,584,853,344,373,162,651,915,
576,467,584,178,439,090,687,677,054,249,044,323,161,080,788,664,509,472,970,
412,694,429,228,139,177,473,516,440,437,619,132,106,933,488,890,815,527,592,
760,152,726,829,506,444,493,112,208,203,900,687,227,950,134,784,264,281,855,
358,932,539,630,059,850,401,649,205,301,817,040,040,490,690,964,709,261,628,
490,598,565,402,873,142,161,842,758,025,960,779,132,801,416,721,376,675,959,
622,007,136,140,938,068,670,567,928,914,615,443,896,879,688,751,093,582,208,
846,954,103,245,250,522,561,400,872,857,639,505,981,837,317,935,553,834,687,
940,791,056,319,370,432,733,694,550,677,497,647,456,865,323,900,807,219,029,
056,345,658,438,936,366,805,780,328,127,062,685,175,371,292,105,232,461,650,
274,420,777,910,050,551,026,956,603,119,577,771,929,612,117,506,916,910,069,
474,509,904,721,373,715,521,567,845,929,606,394,041,024,097,145,981,663,886,
607,706,069,017,437,656,273,203,416,009,836,146,456,839,681,890,044,579,721,
937,166,947,876,080,584,163,640,391,097,232,279,014,858,984,270,596,846,231,
669,477,533,743,053,854,453,921,752,064,276,872,137,678,422,794,149,533,583,
255,142,314,357,712,400,378,472,676,980,250,505,754,260,396,076,639,614,442,
729,095,050,176,482,252,632,467,263,841,349,357,159,173,660,274,086,803,848,
220,511,685,263,559,593,131,366,402,513,841,832,180,233,520,101,619,416,220,
562,778,656,455,745,892,703,888,981,730,655,499,400,214,388,859,683,690,743,
377,684,906,658,714,874,295,095,797,001,571,655,561,675,526,530,547,415,578,
299,580,885,487,106,166,036,026,890,578,733,023,520,374,104,703,159,608,130,
397,824,107,409,251,478,342,277,245,201,636,339,707,415,219,866,645,004,801,
085,035,607,988,717,874,384,484,708,054,334,778,836,309,178,552,221,337,466,
011,616,421,530,803,675,092,861,546,698,743,094,745,657,764,891,857,386,039,
141,242,898,348,257,527,954,377,424,609,347,597,280,734,198,750,480,434,915,
219,769,582,963,001,559,505,832,057,829,160,116,390,873,471,227,648,722,504,
979,941,509,894,335,510,686,155,954,943,548,668,653,334,640,299,262,065,638,
059,837,644,213,194,590,665,090,555,411,015,041,858,261,498,191,300,308,360,
564,361,756,718,134,656,099,988,028,558,064,432,501,003,010,241,996,027,607,
944,049,817,172,933,251,243,893,830,125,936,161,381,786,215,606,582,249,495,
019,840,116,914,151,963,705,820,013,337,415,321,747,446,548,625,245,656,501,
663,055,763,726,836,812,148,164,051,484,385,369,093,255,711,398,985,691,445,
764,454,181,903,726,010,754,440,694,555,957,656,322,325,121,179,412,909,603,
243,834,183,524,096,625,223,852,069,799,958,765,422,409,879,756,070,091,760,
841,656,520,177,466,078,148,780,826,240,613,108,159,687,484,846,080,698,142,
274,858,531,615,636,035,623,317,874,711,266,259,686,647,248,681,415,746,843,
239,788,941,957,240,113,754,017,602,171,698,739,112,123,596,282,730,324,687,
799,857,912,877,072,353,985,400,481,342,851,716,090,303,346,245,408,667,341,
498,809,360,021,058,648,366,503,329,268,996,077,962,262,521,577,111,986,285,
270,058,425,922,997,797,851,108,932,252,351,015,808,663,264,005,356,541,372,
217,487,341,126,860,878,897,137,545,811,134,451,128,728,669,142,565,988,613,
512,281,209,012,350,178,258,684,800,682,493,932,787,677,681,870,479,366,047,
263,563,011,915,092,173,673,059,600,756,772,857,219,433,185,635,903,335,046,
016,248,726,609,499,518,238,001,145,355,871,851,186,010,125,346,105,516,688,
900,023,738,512,914,722,366,077,372,031,061,256,433,169,968,140,062,114,023,
966,330,281,410,096,496,361,206,768,661,127,556,980,525,856,904,347,396,514,
094,410,234,530,514,754,433,935,103,988,791,351,796,122,820,312,579,162,745,
257,537,870,671,936,009,130,985,958,659,552,690,974,897,544,276,495,456,921,
467,303,430,175,732,171,965,031,100,192,851,421,733,261,544,027,371,995,034,
752,705,612,900,554,183,488,896,263,352,533,128,011,058,257,480,174,403,711,
306,449,979,700,847,473,203,877,111,717,309,461,348,083,760,940,223,090,415,
863,712,907,045,425,232,062,766,976,796,884,272,248,741,603,825,996,348,414,
132,442,441,081,310,788,932,118,217,675,640,814,064,514,017,280,528,319,859,
632,057,786,472,574,135,537,090,345,761,289,811,417,783,165,258,834,485,037,
628,451,733,206,009,750,052,622,174,790,345,454,958,112,919,601,366,648,391,
817,957,693,790,727,663,274,244,875,457,765,588,385,956,089,707,726,515,921,
270,347,248,041,265,371,828,597,269,160,899,386,404,198,044,212,376,604,625,
516,458,469,890,330,064,797,451,013,201,318,987,210,881,245,170,194,454,514,
580,760,994,582,501,021,079,144,646,301,339,502,652,355,899,940,049,475,113,
196,413,946,017,520,592,511,936,750,489,179,840,768,269,722,470,986,268,018,
272,518,758,152,158,317,762,848,865,487,369,794,361,714,038,528,291,194,866,
579,114,459,102,172,172,456,012,658,095,075,938,824,024,255,473,116,890,273,
621,640,257,045,987,467,421,958,234,549,089,865,347,570,249,100,687,695,902,
760,450,187,898,370,248,206,588,481,184,278,767,947,475,536,755,671,942,273,
952,238,689,793,076,353,702,581,829,713,116,030,375,863,456,775,443,653,340,
466,809,403,649,587,810,058,892,433,040,169,438,424,101,120,123,779,564,757,
964,402,424,884,907,315,873,114,456,933,969,095,294,266,866,928,817,770,362,
099,551,252,117,580,574,005,932,334,508,761,786,155,777,667,463,724,526,577,
359,865,361,903,284,313,789,347,118,034,312,848,291,605,354,986,737,119,713,
703,076,003,229,431,133,476,822,780,205,602,268,460,504,474,242,493,491,022,
961,328,378,828,789,957,210,252,006,273,692,547,664,455,532,449,838,040,878,
648,073,361,840,401,691,149,319,350,363,258,460,943,903,903,057,541,386,003,
565,571,411,376,433,752,866,539,390,329,382,268,531,235,642,905,063,307,305,
180,223,258,587,491,506,688,301,525,416,762,790,475,680,983,528,117,908,748,
906,363,118,159,975,237,211,987,066,386,591,821,432,811,125,432,470,390,866,
317,458,503,354,663,653,380,889,837,472,599,743,628,011,442,526,024,814,490,
141,278,591,250,034,663,092,087,548,086,209,375,269,612,879,471,947,970,247,
697,315,628,762,879,624,061,762,785,056,394,366,016,841,485,056,527,658,020,
343,774,155,869,710,130,486,860,700,344,774,971,155,516,621,435,870,595,313,
708,022,538,426,641,252,060,206,547,338,641,614,772,132,907,917,183,123,013,
646,621,372,293,846,876,770,843,902,347,620,915,849,971,870,159,783,647,916,
138,552,568,716,305,667,215,043,288,478,524,096,063,382,433,827,496,534,390,
992,487,456,383,983,420,984,346,224,784,447,860,073,022,587,429,481,330,830,
184,074,565,222,722,944,330,605,490,007,894,522,988,326,901,235,266,760,828,
723,061,853,002,158,040,111,164,105,262,491,706,983,602,736,013,261,471,923,
529,462,085,759,702,251,484,806,705,096,334,543,161,929,836,804,363,910,997,
657,331,034,919,798,792,782,247,409,343,509,350,585,802,766,955,200,738,550,
897,048,233,029,875,298,572,392,750,640,239,045,494,942,859,383,643,820,335,
409,043,451,825,013,798,212,483,599,556,551,441,788,574,467,964,914,264,493,
010,874,171,369,381,897,966,743,761,064,858,347,640,308,122,650,308,989,264,
596,677,627,667,586,184,866,650,503,314,565,284,702,843,531,475,541,098,821,
253,259,747,260,194,293,393,384,931,451,248,899,009,620,153,728,650,898,608,
104,360,393,149,238,781,119,171,047,663,286,790,918,625,562,506,606,025,802,
034,351,706,165,819,443,812,176,333,041,822,699,818,168,331,758,057,179,670,
666,166,539,777,808,990,613,341,574,007,700,725,867,712,286,634,822,871,283,
062,742,490,153,770,302,199,358,065,924,279,003,371,218,045,543,473,215,530,
791,708,230,023,671,260,533,573,525,023,462,373,111,156,399,500,177,359,996,
362,196,725,429,483,946,875,969,477,112,840,428,322,289,171,032,593,920,851,
953,247,240,273,645,794,026,678,564,770,220,132,158,614,155,810,185,692,203,
600,994,843,124,237,308,095,872,266,080,409,596,684,874,355,630,959,711,922,
826,615,409,028,246,411,652,040,631,797,170,238,459,881,441,244,504,011,173,
003,531,004,035,798,512,646,224,381,852,170,080,376,818,281,106,679,485,878,
514,530,593,942,549,607,377,881,227,938,403,705,292,376,891,993,407,562,906,
252,857,622,827,772,509,309,497,544,218,671,032,164,357,470,039,359,735,432,
092,841,111,467,995,022,714,007,124,809,011,352,958,359,281,956,081,593,866,
393,867,959,751,164,781,502,128,557,786,665,863,216,191,666,366,721,576,119,
406,757,004,480,831,365,807,445,906,153,837,991,937,129,215,236,147,702,841,
903,460,680,817,749,575,345,637,764,812,227,816,004,773,310,218,430,293,850,
657,538,306,494,834,890,457,440,350,067,649,507,357,800,842,145,772,490,811,
218,168,180,246,562,974,336,377,824,142,809,501,108,214,753,450,410,152,864,
359,689,468,595,374,040,271,648,687,577,673,637,496,312,063,137,716,639,423,
906,765,933,045,345,836,356,207,480,468,332,290,635,636,211,927,815,008,824,
845,372,359,520,909,346,543,344,849,699,671,780,437,632,771,967,755,041,877,
729,235,067,034,061,255,517,391,069,513,421,080,742,781,624,858,830,650,849,
360,643,393,155,629,736,849,936,080,265,265,647,286,155,556,351,932,945,229,
753,061,000,275,349,970,964,116,272,506,503,665,105,036,784,643,619,280,067,
898,835,536,883,915,219,433,785,396,772,026,814,243,697,406,697,013,558,720,
524,466,780,002,649,192,293,742,593,634,507,941,808,340,161,235,138,216,686,
382,003,432,415,599,914,775,453,118,075,327,765,331,304,008,191,700,489,865,
783,036,606,898,526,697,442,822,479,233,816,506,332,754,687,717,701,967,431,
956,411,729,321,472,358,467,349,246,213,550,352,517,980,314,434,370,365,892,
799,144,952,401,545,330,038,398,982,554,019,560,354,273,472,371,631,652,894,
408,116,480,934,673,425,235,535,627,146,882,383,248,213,361,379,126,485,945,
903,644,938,187,161,045,118,728,787,089,876,212,612,723,638,635,363,618,004,
324,530,263,538,855,074,788,481,895,277,743,775,807,082,927,657,776,375,531,
037,440,591,255,748,499,413,991,860,991,502,331,755,686,380,698,865,241,711,
766,415,238,636,415,942,946,928,752,375,302,381,518,637,831,069,110,487,257,
834,947,407,309,385,481,584,034,614,322,517,385,120,816,951,041,841,695,269,
417,566,890,642,414,550,100,434,901,180,779,118,311,064,936,350,705,368,827,
667,885,592,951,915,402,085,131,233,634,440,765,558,134,322,427,102,251,953,
957,640,427,302,293,320,211,743,271,758,708,319,910,583,833,018,612,372,340,
861,448,482,538,167,204,357,905,814,036,188,522,344,009,217,504,715,939,221,
341,926,817,696,267,746,867,841,069,495,472,525,511,932,518,762,391,328,114,
651,623,061,696,783,813,219,387,469,384,716,921,382,840,178,942,343,839,915,
232,644,324,344,971,506,663,688,827,088,824,820,018,923,733,554,279,507,511,
769,037,658,931,724,653,761,089,447,667,351,009,992,740,468,947,068,865,485,
330,697,066,904,218,717,103,184,169,502,328,583,734,128,845,826,959,625,553,
788,428,542,191,620,943,471,562,441,783,290,179,618,010,256,217,067,334,112,
659,414,454,277,091,278,984,064,333,121,312,008,681,410,270,513,757,742,421,
126,653,524,590,253,390,613,451,261,656,988,465,016,199,873,651,168,954,614,
848,333,516,876,822,658,631,320,998,898,186,978,920,374,112,795,467,064,936,
193,055,242,178,089,647,412,914,199,857,356,600,951,073,664,543,651,117,762,
946,722,153,216,832,905,215,486,533,794,852,914,678,578,351,301,117,502,155,
021,268,388,139,852,747,693,799,723,059,135,488,825,959,769,384,843,432,693,
414,380,650,155,454,242,729,076,238,796,717,726,276,832,883,755,996,911,061,
127,506,285,427,752,643,232,841,174,158,153,486,256,070,220,628,555,044,889,
577,627,133,205,660,322,554,345,398,410,343,835,303,393,431,745,876,604,907,
664,258,794,815,327,575,432,258,683,910,564,263,214,284,707,009,776,697,999,
669,243,087,119,651,421,031,824,957,256,480,687,091,393,814,336,413,471,014,
094,101,495,198,684,125,843,777,072,548,015,859,541,836,004,604,350,958,650,
194,233,000,410,507,164,936,044,108,327,949,784,655,028,335,853,543,456,294,
511,799,254,550,696,966,978,292,126,860,824,002,948,734,717,091,555,477,556,
154,366,176,829,558,535,121,972,915,197,903,128,381,607,172,097,689,598,262,
877,367,830,331,253,043,560,761,863,161,195,542,637,034,385,188,578,904,283,
348,708,170,983,127,220,150,773,687,436,975,358,302,420,224,893,115,686,942,
468,662,608,557,895,539,368,413,279,410,878,141,211,278,402,052,560,644,333,
527,502,738,508,070,123,138,779,784,493,327,799,009,270,855,292,292,326,181,
065,890,575,852,100,444,018,311,600,481,558,148,767,675,887,970,198,589,911,
891,051,652,410,524,147,291,269,703,458,716,936,326,761,834,970,397,747,664,
053,160,073,184,800,605,163,127,830,022,805,929,106,830,286,267,685,495,226,
022,658,233,000,008,374,174,766,276,269,362,189,211,162,674,246,066,509,569,
618,078,874,179,265,233,181,562,809,538,420,250,382,215,601,840,673,826,071,
025,421,262,511,198,699,037,296,006,484,285,416,646,089,361,699,177,441,383,
991,775,119,016,967,928,748,228,978,254,983,029,724,289,902,665,131,332,195,
982,024,698,620,818,186,070,133,249,804,659,125,351,528,343,251,811,278,589,
947,901,865,178,604,024,367,849,324,126,476,508,692,899,409,586,451,961,873,
402,344,719,144,893,203,301,644,120,082,875,998,395,762,865,954,635,634,363,
050,576,408,171,113,516,649,019,051,174,945,399,131,933,747,751,406,342,222,
339,947,959,992,785,542,746,623,781,075,266,753,499,015,092,468,255,630,502,
819,243,523,515,460,839,976,988,222,892,535,132,421,780,827,148,583,890,125,
961,132,268,203,031,547,648,888,812,324,058,715,642,608,091,405,513,896,367,
914,842,692,773,830,472,400,029,861,750,030,727,727,412,524,372,535,857,606,
330,195,585,364,659,452,094,221,453,503,435,286,652,477,572,057,934,075,588,
084,534,972,049,194,589,001,768,568,930,436,495,042,168,467,024,883,773,105,
165,774,398,912,401,989,774,489,509,177,965,136,536,312,081,935,882,267,336,
019,283,524,987,031,195,550,698,083,058,838,278,712,020,764,523,662,008,196,
977,711,282,708,235,600,809,486,168,407,112,012,236,813,770,047,064,888,321,
534,925,389,593,970,086,182,449,389,575,803,958,024,030,600,356,526,771,631,
684,170,511,509,042,387,842,872,871,994,646,488,912,735,890,258,895,665,360,
881,016,970,843,068,280,866,202,171,237,899,520,817,319,400,649,796,383,524,
425,195,674,892,922,236,255,187,709,858,684,727,458,791,704,772,539,052,759,
574,542,771,135,929,896,433,095,913,689,796,648,186,664,835,417,895,071,624,
817,826,383,670,325,272,515,259,843,315,904,210,030,253,233,959,389,955,889,
995,512,497,480,131,570,627,218,426,816,588,706,601,194,875,234,763,957,492,
889,078,934,638,819,287,780,011,937,970,058,340,002,621,337,884,243,866,363,
179,089,955,226,049,375,830,741,240,751,109,436,567,646,787,468,434,821,406,
406,466,974,160,234,312,181,740,652,521,215,463,801,754,733,182,554,397,455,
065,726,414,117,668,934,735,788,105,351,766,232,759,487,722,179,385,291,717,
987,965,566,206,546,135,272,394,127,238,156,647,466,627,254,084,465,858,996,
177,817,230,286,410,887,360,846,927,343,529,527,742,116,603,176,767,860,669,
902,111,642,798,698,889,901,499,029,769,699,019,743,432,950,546,400,881,289,
866,024,543,288,959,454,105,680,460,719,287,592,390,055,983,979,080,834,554,
709,019,544,107,477,891,635,766,097,307,854,326,241,106,078,710,633,932,907,
187,203,594,532,088,755,364,333,521,464,353,156,275,679,814,068,862,320,000,
635,911,203,234,103,684,334,874,037,490,342,751,959,117,072,028,702,807,507,
215,418,298,285,723,727,222,665,763,992,326,882,698,800,811,301,868,286,020,
851,387,465,323,183,960,041,825,279,170,376,772,456,683,476,255,074,779,488,
648,678,275,510,699,817,192,273,774,724,598,821,784,937,021,590,706,622,829,
944,602,834,325,958,479,512,793,159,804,424,090,325,678,684,088,083,547,395,
794,216,571,370,725,803,734,426,803,954,414,774,677,350,774,449,341,780,899,
162,002,846,073,402,910,338,864,878,975,047,652,062,572,658,404,143,709,156,
717,308,733,100,496,258,908,127,219,928,873,826,411,143,992,902,030,578,673,
212,397,252,296,384,400,188,350,132,187,521,867,698,931,762,554,104,685,559,
427,663,214,408,338,399,104,623,996,001,177,578,451,737,994,173,551,847,007,
696,937,293,571,122,301,376,695,997,161,862,626,694,750,263,607,086,269,059,
969,173,378,859,702,263,023,538,036,493,529,523,714,228,280,955,284,952,804,
274,888,148,953,572,533,159,789,433,023,370,408,355,318,783,505,074,131,731,
277,935,726,974,407,452,336,313,033,852,812,493,401,740,469,284,913,361,757,
189,802,560,876,651,838,606,610,179,101,972,917,814,689,495,477,849,436,605,
853,318,365,724,197,639,335,341,050,210,806,142,778,111,482,514,804,735,207,
983,461,544,944,523,891,878,670,381,710,277,203,080,891,375,573,567,518,228,
566,367,731,526,380,304,600,254,422,494,252,883,570,661,931,511,848,468,256,
197,959,384,258,997,645,058,747,071,431,692,128,956,822,865,033,471,623,208,
603,471,468,360,385,055,843,597,358,597,808,224,550,319,522,626,448,373,099,
958,951,702,856,191,296,015,293,518,633,187,900,808,888,550,871,338,373,421,
161,394,924,053,122,273,422,050,908,443,691,916,176,629,504,724,708,379,136,
179,187,916,634,864,010,154,868,855,735,470,900,589,581,751,426,281,076,069,
203,416,900,117,007,246,216,507,741,772,975,813,154,568,497,029,428,199,323,
874,430,501,034,639,013,560,885,668,475,493,358,846,472,030,215,205,938,436,
503,714,312,083,450,387,426,063,354,638,599,265,457,284,978,583,928,973,963,
588,007,319,546,118,115,278,933,197,760,619,954,325,603,610,499,179,995,003,
397,921,650,107,078,755,082,864,484,590,904,695,463,343,312,710,282,964,271,
943,350,623,589,094,378,109,213,652,122,823,102,292,696,610,204,694,938,384,
484,350,049,492,046,808,916,576,358,892,037,872,652,092,716,537,409,683,632,
567,745,698,859,372,216,322,613,480,418,207,710,541,285,989,202,904,922,184,
009,192,139,479,045,781,103,789,569,141,413,222,058,445,934,261,279,838,370,
479,227,878,026,212,383,973,588,084,423,852,757,020,045,003,021,118,119,596,
984,113,223,954,229,161,228,146,975,825,143,587,227,041,292,626,604,100,712,
081,464,890,421,628,110,749,349,020,799,734,159,401,556,218,082,425,617,842,
800,338,820,813,268,092,275,958,534,812,904,096,547,434,145,153,491,354,488,
652,986,991,579,807,031,563,904,710,663,755,058,764,773,530,291,820,186,010,
428,213,982,204,200,161,905,127,838,882,660,327,465,717,938,099,116,713,728,
201,141,296,499,231,052,981,627,173,302,991,583,415,374,629,697,514,920,480,
023,152,697,819,881,101,328,132,880,135,647,555,201,664,246,002,095,771,988,
655,027,513,192,695,786,790,661,823,735,879,707,362,215,741,126,948,567,645,
022,218,610,809,690,446,861,590,493,842,220,663,973,873,694,430,780,745,368,
073,034,294,511,158,467,268,385,989,011,420,885,703,620,423,405,749,913,157,
587,664,642,752,132,509,445,605,175,570,883,531,145,843,498,816,903,236,326,
707,509,105,198,942,221,019,861,222,373,513,625,852,115,722,415,059,462,942,
866,339,652,944,790,325,018,131,085,843,222,994,650,343,661,344,827,737,649,
566,129,413,957,212,470,051,465,357,606,753,784,732,111,712,355,054,545,147,
997,727,133,122,759,234,627,617,262,996,486,774,038,948,717,889,197,019,697,
715,213,063,640,627,116,381,124,397,626,758,725,002,808,821,856,933,250,161,
231,613,218,197,081,779,822,111,193,669,427,132,874,382,954,560,398,682,007,
994,542,211,853,804,085,873,069,623,927,988,440,800,332,863,755,957,770,808,
847,339,579,984,678,421,882,636,811,410,455,997,586,915,601,912,217,182,402,
405,702,255,494,573,684,105,113,326,226,984,895,343,148,248,039,729,349,546,
848,244,615,888,334,076,268,581,643,703,502,068,474,491,841,916,289,502,154,
046,480,069,416,239,343,572,128,692,898,994,331,496,499,767,859,751,981,281,
736,434,273,377,760,446,395,773,225,271,432,819,135,175,341,442,103,690,596,
282,274,782,398,777,935,772,330,967,779,333,508,571,386,877,671,252,871,485,
603,985,468,815,507,157,738,169,552,175,466,346,507,619,648,078,119,566,745,
396,967,724,562,532,707,491,714,149,605,817,536,349,822,571,589,437,933,708,
540,475,792,185,697,590,755,461,412,028,273,369,758,771,814,032,339,446,864,
830,968,681,129,392,430,500,724,401,812,790,916,216,239,556,313,613,228,462,
246,481,786,053,487,634,067,185,542,215,310,026,319,844,736,173,386,575,132,
121,323,285,432,351,700,249,760,789,658,058,552,457,643,506,317,134,738,170,
710,560,567,967,845,827,840,305,956,184,132,657,818,604,270,268,850,240,036,
724,478,139,578,858,933,990,392,656,551,252,785,815,739,577,193,804,817,756,
847,928,191,020,523,231,836,656,552,010,699,134,623,477,414,627,351,966,595,
927,499,027,587,493,084,999,284,313,052,117,714,369,854,924,309,985,129,065,
262,955,942,086,629,423,798,942,190,182,728,471,057,783,809,432,727,596,888,
512,575,513,835,003,643,661,459,172,706,120,452,482,682,669,862,595,235,345,
334,299,882,761,453,308,930,818,630,920,770,231,516,880,929,934,553,136,974,
913,902,136,402,598,738,691,668,630,836,894,484,938,380,755,466,752,528,542,
786,129,912,104,328,431,069,819,147,789,081,562,113,025,850,462,007,866,304,
712,971,158,177,575,561,989,692,666,298,358,243,575,046,940,262,115,123,405,
059,590,404,388,104,294,847,392,993,088,913,095,870,453,429,565,997,117,567,
743,211,142,397,908,418,192,324,712,009,033,749,378,556,177,659,142,193,040,
506,392,781,974,314,835,312,818,212,836,314,192,293,045,337,624,185,994,512,
271,616,772,307,169,267,675,792,310,666,982,016,491,885,257,340,692,041,086,
833,162,232,299,822,775,923,457,684,136,563,211,338,788,482,244,175,328,156,
121,389,130,125,512,746,898,672,411,209,217,570,220,510,914,221,177,393,969,
945,897,209,429,724,559,660,460,302,752,179,076,872,246,001,134,783,500,884,
160,555,208,072,800,329,067,981,224,627,172,115,874,677,609,023,083,731,152,
793,926,952,693,367,324,225,987,420,898,032,130,252,927,912,192,410,289,266,
673,077,025,588,429,730,437,561,825,960,192,357,477,548,816,692,904,556,876,
276,616,929,587,210,648,731,798,375,820,448,304,139,474,340,077,417,086,267,
712,862,865,093,257,839,255,141,872,882,967,264,875,258,110,231,836,234,445,
699,345,148,063,060,839,270,222,054,186,516,986,739,554,611,080,192,942,674,
175,510,152,074,006,329,411,156,702,823,686,989,547,888,686,590,327,826,914,
194,422,285,457,281,124,947,939,666,763,937,943,049,495,319,611,388,387,347,
016,237,204,882,952,384,920,196,124,810,199,777,336,144,802,946,281,859,492,
110,835,894,824,215,683,253,917,089,441,794,943,662,277,753,122,443,093,530,
309,179,516,231,879,933,654,603,846,649,907,279,932,712,533,574,096,860,806,
918,401,487,588,885,439,709,544,965,689,125,909,014,437,008,897,167,940,348,
713,796,394,129,969,941,187,753,579,438,052,344,662,936,451,945,714,844,010,
900,671,270,250,125,199,975,600,012,079,506,985,006,741,270,064,091,922,993,
721,361,265,867,158,566,351,531,751,169,694,258,189,586,244,383,994,249,271,
673,412,645,240,868,739,498,867,013,877,541,715,632,370,676,016,534,647,555,
274,476,405,046,265,543,492,984,212,976,752,161,232,388,678,396,991,764,202,
686,517,221,695,343,947,746,085,604,953,236,962,212,315,653,157,038,314,862,
955,566,779,770,076,061,325,847,026,168,059,328,519,961,967,853,873,713,495,
815,587,395,303,049,919,292,300,528,117,149,150,641,770,694,479,623,634,175,
544,763,602,936,286,806,475,825,511,409,288,434,649,578,197,689,932,372,850,
379,667,743,836,863,960,079,965,579,572,302,850,360,983,199,421,598,730,948,
583,486,477,061,872,325,038,871,197,934,266,767,297,543,820,753,843,119,144,
911,522,939,603,492,521,720,870,010,885,380,094,268,740,871,804,453,127,429,
771,914,610,065,186,086,701,607,892,756,118,002,634,587,400,673,250,508,069,
984,984,851,278,639,937,420,018,104,557,648,783,671,016,257,197,550,107,957,
281,372,657,662,681,168,450,689,302,912,977,726,853,472,930,219,269,528,108,
901,172,148,716,186,199,543,143,941,304,851,906,513,020,730,781,286,555,961,
973,323,444,487,881,932,123,464,783,772,753,085,824,125,521,046,408,343,107,
320,903,428,707,701,524,357,241,272,708,518,704,194,502,487,258,847,759,254,
031,218,746,543,973,664,437,165,092,989,388,071,968,092,197,736,740,509,876,
832,137,380,588,387,788,278,312,658,371,959,022,452,936,297,662,370,790,966,
749,006,896,403,356,166,912,755,801,776,207,884,240,951,376,993,915,043,580,
938,586,208,292,659,848,467,662,945,821,830,080,247,023,608,148,057,871,681,
098,250,739,394,440,947,253,575,140,147,192,583,813,970,466,877,178,664,360,
524,758,002,701,621,422,185,382,614,157,100,819,997,584,093,822,455,442,066,
282,300,121,654,632,679,834,408,998,137,386,821,767,149,656,141,734,946,609,
982,297,009,891,119,229,463,137,072,139,142,889,540,795,055,346,668,254,495,
108,624,681,693,843,348,106,504,880,195,743,416,214,772,498,961,129,638,013,
022,625,697,064,753,533,884,587,798,493,102,775,973,297,567,453,887,344,735,
639,105,212,614,861,817,721,147,935,707,318,207,357,833,001,017,638,164,064,
498,534,926,268,663,175,343,390,250,401,509,492,021,348,690,014,052,992,486,
498,966,027,793,810,156,383,586,722,060,714,348,446,428,203,566,550,109,796,
526,035,137,619,163,274,894,405,581,156,333,787,165,698,864,642,138,844,237,
687,568,122,365,495,715,305,072,162,134,258,679,461,519,828,298,399,144,288,
883,452,269,604,947,139,968,122,135,236,521,956,968,493,523,262,065,106,736,
980,700,683,953,505,678,642,577,083,453,756,628,090,437,776,310,499,665,763,
082,132,452,617,268,418,558,497,516,427,341,767,165,171,392,672,751,497,827,
308,427,089,893,155,557,042,066,516,211,827,435,646,961,738,167,363,667,297,
987,026,147,239,746,076,290,780,261,926,559,179,382,634,667,843,648,680,819,
945,331,800,585,931,310,949,688,553,727,851,733,040,943,624,591,238,249,361,
242,856,665,473,400,858,999,513,753,415,418,263,791,792,336,575,516,077,136,
453,024,673,761,169,127,138,478,517,388,863,606,543,201,107,295,811,202,119,
720,894,449,067,286,195,943,942,578,927,182,026,316,004,029,487,839,671,352,
456,481,080,156,623,749,946,908,395,519,355,755,280,356,420,773,872,207,371,
039,410,341,231,858,634,752,795,755,507,133,078,456,847,554,231,710,475,176,
119,430,334,647,731,683,046,259,536,733,507,960,658,112,173,214,209,330,121,
823,035,939,302,576,800,643,474,528,461,040,138,323,838,998,847,439,647,014,
625,404,971,100,347,053,479,305,296,630,712,933,392,100,766,690,592,841,788,
491,660,510,288,309,835,823,142,450,047,187,771,008,460,954,312,187,505,692,
891,123,535,859,514,786,416,821,530,296,634,263,321,655,304,258,404,138,334,
366,835,850,030,407,561,705,236,198,435,215,260,565,568,034,768,259,012,005,
183,500,939,140,139,660,011,741,752,612,587,287,035,171,357,385,688,406,783,
159,465,065,321,310,030,203,032,707,957,962,688,110,651,877,307,557,046,015,
349,181,879,919,123,755,345,703,511,879,326,549,824,272,118,352,881,370,115,
181,678,039,911,733,518,731,110,159,863,586,442,474,072,291,861,000,982,679,
017,622,995,053,709,607,574,697,581,655,128,116,576,274,819,746,833,446,669,
006,429,311,861,116,247,714,187,314,543,164,338,578,423,225,790,307,596,438,
427,824,093,488,459,005,014,291,161,161,326,436,812,439,053,887,697,269,666,
039,007,527,072,212,367,853,654,057,593,703,205,367,141,357,233,362,590,528,
315,527,395,320,782,117,197,465,956,641,059,169,007,207,970,532,423,681,840,
336,110,878,711,847,974,707,078,831,782,875,145,136,333,773,024,438,360,362,
267,421,068,038,078,969,474,430,068,768,896,781,830,057,237,967,843,830,435,
711,837,634,349,326,582,225,610,996,090,917,062,865,761,164,998,177,463,031,
429,807,659,043,936,629,879,986,716,416,081,996,692,151,224,223,585,904,710,
187,154,623,469,212,151,130,104,755,229,769,571,647,346,569,016,942,155,848,
335,109,372,352,630,048,958,979,176,618,530,619,928,407,260,823,258,354,203,
952,232,713,533,927,385,615,061,694,689,318,577,526,977,533,191,888,767,696,
122,326,460,376,990,915,587,521,956,786,375,083,651,852,905,015,457,300,397,
573,578,934,293,654,150,139,334,815,853,737,387,119,578,120,665,405,016,857,
057,820,027,006,564,081,273,198,543,294,088,333,687,655,632,298,438,510,694,
090,853,785,391,396,491,567,288,768,980,880,176,797,309,116,005,576,294,380,
362,353,216,241,331,931,969,230,764,674,309,518,600,518,735,084,435,961,759,
723,248,473,126,922,869,185,369,133,894,918,284,240,686,013,839,433,424,707,
086,612,546,234,331,222,103,902,708,704,984,879,981,283,416,033,916,093,675,
502,918,005,379,130,599,501,533,197,728,358,708,458,880,383,046,117,259,348,
213,223,617,828,787,693,735,515,584,785,911,316,460,958,703,604,653,242,990,
119,269,543,796,760,286,960,091,296,827,419,206,088,393,816,001,350,950,856,
083,637,789,095,043,408,387,969,509,463,420,936,924,137,740,661,804,659,726,
852,851,073,275,706,926,841,261,336,794,026,327,587,151,279,722,843,571,084,
729,774,998,836,164,395,972,822,639,169,599,582,430,517,191,613,241,967,425,
602,406,605,961,206,688,803,704,088,136,081,639,618,625,062,145,530,304,067,
618,072,048,562,096,631,572,539,218,230,620,665,575,002,265,517,706,119,812,
223,539,641,252,843,365,015,603,282,471,900,272,022,274,143,086,499,890,734,
306,281,339,702,279,286,236,376,121,647,750,778,881,746,127,751,242,978,024,
380,465,750,912,703,913,828,226,127,526,530,513,246,681,248,038,425,518,686,
881,807,132,008,975,754,556,935,527,506,941,254,792,170,731,226,413,621,123,
810,443,259,875,287,262,401,133,875,923,001,399,636,156,009,977,106,658,993,
758,995,746,415,825,480,501,008,740,993,692,185,305,849,388,845,954,663,272,
482,048,492,343,706,834,222,642,278,351,170,556,773,660,368,753,626,084,854,
328,598,899,426,868,478,912,208,303,131,150,163,055,716,621,760,526,146,975,
594,026,385,834,965,267,889,293,728,362,761,351,068,457,136,783,556,116,403,
286,509,729,592,681,749,519,036,194,677,203,178,013,313,483,096,445,160,013,
687,262,022,832,187,158,212,016,666,606,619,438,691,012,367,790,370,438,441,
761,973,762,424,204,392,939,236,238,789,413,994,037,922,505,827,505,354,310,
029,054,839,707,687,759,245,768,043,536,296,955,145,148,474,940,600,539,881,
172,913,910,699,912,197,109,535,511,157,492,424,449,819,034,048,237,310,156,
823,236,906,593,482,300,088,638,197,605,092,437,168,450,134,211,167,189,443,
656,074,043,867,106,850,617,905,238,867,603,329,805,906,121,510,343,452,059,
088,381,157,978,904,979,972,252,727,933,925,669,295,994,970,390,782,061,459,
997,880,724,693,993,159,156,683,518,551,752,552,467,825,102,956,653,875,712,
101,009,683,629,964,025,359,465,566,102,445,872,399,838,363,758,193,430,344,
025,738,168,253,593,536,835,278,785,062,635,851,784,415,920,231,255,319,275,
911,977,612,103,533,729,225,513,748,613,546,184,522,206,372,768,789,074,676,
665,310,255,660,585,586,978,282,424,510,921,212,007,578,269,190,714,263,377,
216,328,413,420,880,387,531,812,818,194,622,175,963,192,142,217,728,710,604,
767,809,631,292,178,443,998,064,119,950,106,123,565,447,592,502,515,699,661,
309,728,659,010,234,691,043,724,521,000,314,592,268,931,224,655,488,032,287,
490,850,036,438,111,258,541,392,728,082,131,489,778,737,122,907,580,880,247,
411,142,712,133,835,162,226,390,505,170,476,464,522,162,165,173,906,283,169,
247,644,063,386,504,133,818,795,233,500,837,141,946,141,299,650,746,571,968,
267,913,142,660,744,257,553,283,385,944,666,982,807,384,059,567,157,737,014,
706,675,205,306,742,714,198,572,288,331,042,620,563,378,517,879,451,610,141,
742,794,250,183,203,350,784,685,897,822,105,070,811,078,533,790,545,029,767,
462,754,270,216,103,258,355,291,268,833,600,482,507,219,410,462,819,502,628,
254,476,236,461,859,376,433,640,519,629,373,260,773,982,876,188,524,448,361,
382,760,249,806,799,691,069,465,781,283,292,015,173,439,413,839,862,339,537,
280,629,891,865,602,263,054,890,556,007,026,385,773,519,071,443,357,925,240,
513,930,981,141,518,129,673,325,719,499,543,976,042,856,719,674,867,019,843,
571,602,831,892,277,886,292,588,266,705,351,958,444,785,864,352,297,775,164,
859,128,188,652,001,487,804,407,583,513,003,115,739,972,477,742,180,375,230,
516,629,678,558,452,513,909,576,371,082,317,032,965,342,202,096,029,578,271,
046,897,451,272,311,708,179,295,762,494,758,774,032,412,265,335,776,252,555,
924,662,695,888,608,585,710,210,377,386,890,580,279,488,374,327,176,501,394,
215,386,308,011,539,066,594,531,701,239,305,850,211,621,641,779,507,705,947,
495,370,760,280,994,679,823,476,253,026,600,957,604,690,056,654,003,580,569,
658,567,437,260,019,531,087,071,387,265,298,581,052,050,137,910,663,657,689,
661,264,358,560,507,500,057,398,851,630,895,470,223,578,299,601,452,366,233,
880,931,876,770,573,381,111,992,185,033,097,868,282,517,240,323,696,518,935,
741,554,811,242,777,355,588,191,822,891,107,522,653,524,077,061,090,163,503,
596,949,981,815,211,736,890,924,440,744,970,870,051,088,704,716,163,884,073,
448,876,739,650,271,962,424,828,851,491,908,144,007,364,267,963,769,035,493,
414,493,043,960,543,988,352,085,760,102,914,484,548,145,525,459,564,577,199,
682,205,821,364,414,262,345,406,492,143,593,116,985,528,918,489,653,887,236,
896,961,437,103,058,916,861,330,608,104,417,579,998,353,210,850,529,557,203,
666,366,912,603,574,986,774,069,597,726,315,470,449,765,583,736,163,827,326,
645,965,231,985,239,203,476,824,382,641,215,130,373,572,786,920,358,119,319,
475,860,430,346,072,031,601,853,936,414,336,395,261,693,497,818,378,297,944,
919,091,858,588,505,676,075,744,670,261,532,828,789,618,554,860,265,617,506,
827,866,166,653,433,954,799,293,730,090,892,341,936,240,887,465,524,569,739,
102,818,558,020,812,635,673,882,256,040,446,837,314,026,569,322,087,227,523,
725,038,265,481,832,256,577,643,558,922,512,593,390,571,382,142,401,205,913,
356,494,907,763,884,847,444,679,370,980,626,275,465,234,300,951,323,089,026,
423,613,629,370,948,694,012,037,164,754,241,253,490,122,559,723,484,668,458,
397,251,010,481,901,172,483,130,063,663,299,598,664,015,744,909,760,160,899,
385,222,338,703,741,760,759,533,663,597,208,324,933,131,008,762,924,933,820,
178,995,396,607,812,396,624,528,676,209,536,923,620,130,370,055,296,773,011,
878,271,961,879,593,034,809,529,616,795,085,213,308,796,376,110,844,447,885,
264,263,305,856,409,985,329,000,744,380,228,252,509,830,586,615,394,951,944,
548,408,376,748,560,945,051,007,713,231,978,590,500,934,840,894,472,887,711,
044,007,815,751,444,529,921,959,518,707,981,325,734,158,397,977,040,697,768,
338,072,665,752,266,535,949,259,040,482,665,902,804,163,614,290,228,391,725,
255,204,831,305,398,677,172,266,496,174,018,620,610,003,033,865,216,376,421,
735,932,161,900,603,982,244,587,108,597,866,355,162,082,947,009,783,375,488,
029,968,581,258,083,784,826,716,283,950,030,561,355,699,543,085,608,735,903,
083,991,603,382,752,053,765,793,236,952,344,246,697,476,995,472,538,988,415,
296,203,814,251,865,201,620,340,018,500,666,179,005,888,690,430,966,655,578,
804,932,947,633,836,982,839,006,110,983,880,756,266,514,015,667,603,166,758,
813,475,187,998,970,538,500,086,012,867,361,156,684,544,746,686,409,974,589,
717,044,478,754,789,777,309,521,596,203,350,724,917,628,272,408,710,745,114,
137,168,547,599,378,143,208,162,158,137,725,648,903,375,519,181,834,265,520,
245,335,909,029,168,179,356,537,549,500,607,920,446,831,205,679,690,693,266,
095,425,784,973,648,806,196,956,069,206,052,730,314,759,635,324,404,511,616,
757,558,467,630,370,838,504,905,677,832,782,997,831,089,544,311,560,692,594,
708,217,400,350,317,143,525,608,080,338,881,459,998,931,808,416,013,519,022,
464,123,334,327,678,074,146,335,117,365,542,787,887,992,429,208,289,059,840,
393,239,484,234,475,246,700,958,478,441,755,068,021,270,075,550,918,946,740,
452,480,581,306,487,658,627,301,502,632,337,005,620,158,335,426,233,175,140,
876,100,655,856,238,141,092,599,036,057,755,245,146,630,232,484,472,980,231,
605,497,544,129,041,569,936,435,271,338,794,408,309,085,552,298,505,319,860,
234,150,755,275,252,580,436,283,956,073,552,624,900,715,954,333,603,257,893,
197,048,723,514,973,665,370,754,750,586,431,893,286,878,424,903,100,567,253,
120,195,744,549,419,577,942,724,326,535,348,037,229,591,635,015,590,914,380,
496,931,663,097,431,479,177,848,946,286,966,115,121,075,864,869,431,667,067,
521,227,870,579,885,657,651,341,395,347,528,864,987,672,368,735,350,360,130,
048,146,376,283,749,671,406,977,776,660,350,210,934,788,440,031,740,569,633,
916,254,794,750,609,959,680,793,693,150,806,402,483,711,472,745,047,436,463,
130,402,340,206,656,528,444,522,837,849,332,559,467,261,906,211,189,918,577,
292,543,767,286,736,616,842,632,758,238,683,282,261,103,432,319,792,884,285,
305,388,095,661,941,835,176,138,935,785,591,811,892,727,012,438,912,411,410,
492,827,375,800,290,766,330,876,793,162,098,442,733,912,473,605,082,231,120,
393,675,627,213,553,535,393,183,979,082,696,904,333,447,857,108,427,981,187,
256,478,180,545,781,962,810,972,651,115,918,024,102,751,327,725,280,218,195,
526,685,029,028,072,770,727,633,267,750,361,611,920,654,926,635,057,754,150,
586,033,778,337,687,843,505,410,389,608,323,656,186,834,301,812,556,813,907,
692,891,345,687,873,304,303,487,240,171,181,492,143,978,701,047,522,783,760,
058,356,094,165,457,873,930,876,033,703,158,941,664,977,970,656,180,370,228,
130,826,785,299,977,426,372,288,727,575,234,131,562,817,513,948,216,666,104,
947,595,240,855,039,355,534,398,258,074,267,253,582,092,031,240,301,113,762,
338,184,477,210,986,992,473,529,934,931,187,050,417,383,738,970,228,927,784,
133,249,914,280,997,990,862,952,744,199,271,407,371,492,440,311,469,112,037,
426,409,436,030,363,576,364,342,440,049,943,964,239,473,166,374,426,229,281,
335,322,316,082,598,090,987,214,527,544,672,510,072,497,504,641,645,275,488,
218,580,111,470,651,529,134,528,582,981,160,025,516,796,619,379,650,248,722,
266,183,013,948,488,768,127,487,644,805,566,961,710,586,501,617,144,951,476,
607,708,810,538,504,202,388,450,905,486,678,537,399,725,465,159,707,052,398,
010,608,139,822,225,902,457,844,799,987,808,255,626,500,371,018,917,728,582,
128,819,738,011,891,519,556,112,746,831,477,452,638,636,494,193,352,183,340,
462,799,058,644,526,027,039,699,714,248,787,940,573,921,848,522,179,712,418,
111,471,086,494,036,961,662,768,105,570,816,993,237,920,149,924,671,546,594,
891,817,061,185,785,275,372,642,255,267,512,573,956,853,249,932,339,940,601,
320,632,964,408,230,413,355,442,960,107,154,993,289,181,178,655,325,049,549,
442,197,837,721,501,530,074,382,049,812,539,130,778,890,571,721,206,181,247,
970,793,936,421,764,052,476,765,998,881,152,603,122,626,716,177,912,489,102,
649,152,506,765,264,515,800,202,273,269,038,383,524,635,465,525,258,831,588,
227,727,116,323,640,465,404,062,127,022,712,300,978,486,643,236,673,941,309,
790,418,882,996,262,571,624,780,321,286,392,707,045,264,644,437,165,598,546,
679,999,569,062,905,540,186,947,112,611,243,819,386,877,780,942,801,638,834,
160,563,628,536,399,030,034,341,522,446,069,679,222,910,237,768,153,723,249,
101,895,838,931,786,317,988,143,232,136,173,859,648,300,275,368,990,103,586,
519,140,419,793,517,450,363,573,505,173,305,762,055,002,266,657,572,093,126,
941,742,802,486,694,621,888,957,467,835,426,531,767,888,443,002,684,828,739,
299,835,543,499,463,032,295,105,142,336,051,960,009,741,553,277,269,884,782,
170,073,763,374,017,447,680,031,754,806,648,553,852,004,755,651,582,427,501,
714,059,051,372,493,659,296,229,052,442,202,390,257,661,142,778,752,556,154,
009,045,055,025,823,719,888,159,069,043,237,347,313,463,366,782,498,310,723,
439,079,159,492,273,634,049,679,582,610,833,662,133,648,986,999,559,562,459,
278,783,978,845,408,495,202,738,751,865,633,524,820,240,577,940,178,537,411,
643,602,538,760,755,427,049,425,373,503,603,767,215,111,890,928,080,798,473,
136,574,298,321,171,010,430,431,516,721,815,144,841,776,582,692,822,668,714,
364,556,738,672,570,065,214,483,860,354,430,734,803,316,044,499,912,302,373,
930,945,311,639,803,640,648,577,627,261,771,958,598,199,250,819,412,037,449,
415,334,220,762,883,920,673,927,075,251,271,876,769,028,701,720,194,246,051,
182,650,144,641,092,883,454,942,224,163,849,036,895,095,445,678,573,757,598,
090,837,993,098,271,384,144,997,598,755,775,236,852,331,517,382,121,908,928,
193,074,678,823,236,129,278,364,634,300,418,044,485,305,891,307,619,624,897,
118,831,698,591,412,294,234,260,606,760,189,388,955,750,535,174,699,333,951,
963,008,483,176,706,705,317,415,473,113,313,965,547,410,153,454,825,266,154,
701,205,798,931,526,633,582,468,115,359,388,840,527,411,440,868,601,627,061,
206,882,447,342,184,264,606,142,529,450,664,316,968,241,581,605,185,365,903,
961,293,554,414,706,542,588,737,964,515,320,007,243,714,514,881,016,052,343,
854,887,308,438,480,114,151,235,225,859,544,628,564,812,216,392,581,503,976,
005,357,444,688,039,786,140,519,275,499,198,820,856,414,531,986,857,154,360,
851,850,751,516,931,997,462,476,572,456,898,770,951,488,637,855,796,379,131,
004,589,823,017,900,854,946,981,476,472,037,218,275,360,943,760,574,715,825,
104,662,593,391,207,775,366,944,171,265,625,032,992,334,474,567,514,500,006,
721,055,147,826,328,512,149,089,859,421,669,281,998,964,418,643,748,222,541,
383,586,294,434,528,881,292,553,999,558,550,103,790,714,834,003,222,818,113,
695,670,878,818,697,232,434,850,748,886,205,385,710,986,110,679,689,891,874,
088,507,930,946,518,211,062,879,820,370,019,323,867,270,071,183,146,762,265,
491,239,686,393,186,742,894,716,114,505,859,683,857,117,599,867,387,065,264,
312,620,073,727,125,737,270,498,604,520,302,992,421,686,562,156,276,549,620,
982,611,315,215,919,705,876,000,068,429,991,772,295,285,424,295,784,729,254,
701,130,307,732,361,554,914,627,285,621,230,932,289,240,460,591,246,221,961,
359,383,246,564,641,398,644,715,657,116,205,566,550,553,867,160,792,348,920,
365,486,570,962,290,606,843,223,040,082,667,855,697,823,025,668,160,258,774,
953,794,175,810,127,227,706,503,082,280,959,645,638,970,392,390,627,830,676,
532,276,643,915,748,459,173,358,953,592,621,043,117,310,819,382,407,946,671,
059,774,988,955,375,990,963,514,960,196,964,558,396,969,122,509,938,637,806,
070,689,225,135,269,363,850,412,794,323,168,600,510,623,291,424,660,607,807,
452,970,571,440,342,902,939,908,731,127,593,836,472,268,260,748,994,399,083,
124,558,404,653,157,228,078,451,791,182,802,867,357,965,821,930,875,343,933,
458,115,378,409,815,503,497,361,274,039,059,354,970,905,091,404,428,254,633,
402,884,332,309,723,869,476,930,433,178,656,348,502,407,938,681,373,828,632,
355,759,190,809,745,335,706,782,926,628,074,511,686,420,028,601,364,074,511,
069,593,712,391,575,195,187,874,825,526,458,983,269,967,369,689,477,326,427,
753,806,691,839,035,406,136,839,591,068,067,505,258,736,916,771,098,728,326,
393,399,863,935,261,907,225,557,598,620,274,039,992,390,199,300,271,358,972,
595,004,672,062,324,923,197,438,152,277,020,797,227,342,389,406,193,625,187,
425,654,388,071,118,285,524,517,446,698,038,335,478,798,613,069,911,286,863,
074,178,970,788,436,980,822,558,730,853,489,847,449,864,794,235,903,675,913,
910,166,131,610,543,829,657,419,090,888,333,973,908,667,712,556,288,108,032,
185,281,799,616,243,293,731,245,481,959,101,649,881,093,806,637,701,649,935,
812,421,886,104,118,604,633,098,888,395,812,220,326,509,082,402,344,926,750,
900,293,264,498,190,082,556,362,822,919,814,113,224,774,560,053,064,999,855,
288,249,100,585,769,094,814,532,102,401,525,712,744,309,142,761,350,368,525,
900,089,113,227,703,153,210,896,311,246,613,510,586,706,614,719,343,300,680,
648,918,623,798,966,042,988,850,241,674,697,916,930,085,357,268,436,868,756,
115,866,831,882,227,543,234,529,844,554,057,327,832,690,154,136,173,275,455,
878,158,681,122,955,432,519,361,644,046,920,549,898,902,544,929,177,121,567,
076,547,988,788,163,729,849,843,990,541,068,847,294,086,512,773,817,834,608,
758,083,979,901,391,544,569,917,592,914,933,699,760,187,193,435,447,542,605,
215,325,893,419,992,854,673,517,597,017,708,556,127,197,394,769,469,503,846,
815,258,071,073,838,689,580,035,506,268,851,605,323,219,523,587,891,237,340,
178,946,843,315,604,796,253,482,187,388,672,287,839,583,465,425,377,527,997,
350,256,571,397,289,959,386,684,140,114,063,728,696,463,408,516,146,721,807,
765,310,883,404,126,153,344,820,488,277,372,728,822,345,727,365,121,683,186,
639,216,325,047,399,174,789,499,658,136,324,072,375,555,268,815,983,718,433,
220,265,202,864,207,901,422,077,509,545,373,866,209,335,508,311,179,566,547,
461,289,053,210,993,628,109,746,743,301,148,914,021,416,743,748,145,611,255,
261,111,028,702,436,926,531,587,672,456,190,268,979,262,810,517,629,834,422,
953,230,385,613,789,392,228,183,963,206,096,371,029,959,672,481,228,139,580,
369,108,670,685,530,950,910,160,991,371,637,862,746,040,686,418,617,252,655,
403,044,719,771,804,223,506,975,782,718,618,427,868,011,326,505,526,717,378,
916,083,226,838,179,629,513,213,449,008,184,466,693,871,388,976,528,943,905,
167,762,934,350,692,872,807,027,177,397,801,987,224,203,173,446,402,101,066,
003,370,628,773,066,910,714,095,888,109,726,118,079,071,036,006,274,716,271,
359,740,417,267,909,206,968,240,177,522,972,091,234,517,241,664,970,892,510,
306,580,327,939,692,683,271,808,096,649,880,015,987,331,381,488,129,130,999,
371,840,574,616,329,171,070,777,866,308,510,971,714,673,666,190,889,982,865,
379,294,327,186,262,852,495,857,794,480,934,798,871,901,157,392,022,451,927,
372,243,575,766,445,866,446,919,715,314,210,149,730,369,793,207,906,266,893,
406,652,320,285,097,556,728,011,865,328,818,994,284,105,855,114,450,553,379,
628,584,270,158,742,748,359,651,354,399,419,226,176,537,738,836,510,407,631,
542,942,752,974,804,383,896,769,748,316,176,533,788,962,872,533,660,318,885,
705,580,435,715,607,379,360,733,870,692,535,920,669,554,495,793,006,206,057,
903,021,043,330,330,041,171,394,163,045,183,766,670,307,101,346,304,080,225,
201,160,728,367,454,601,437,949,818,747,709,577,031,481,278,560,128,600,250,
717,190,191,588,776,256,025,396,891,311,015,943,747,626,905,203,694,762,892,
097,425,998,451,757,959,560,465,140,614,838,201,740,492,730,026,143,378,851,
370,806,336,876,828,170,228,502,091,146,439,343,595,006,803,200,872,972,217,
576,036,457,942,753,811,185,907,571,791,037,448,698,991,286,779,975,206,601,
831,987,905,924,262,251,801,463,568,586,576,479,394,757,052,526,602,238,581,
178,928,041,916,420,930,661,292,180,770,767,387,034,070,649,009,035,870,140,
564,809,381,621,456,673,494,427,613,073,290,525,332,942,741,378,183,315,025,
662,130,647,354,139,141,816,769,239,634,104,651,204,510,821,305,404,248,000,
732,618,033,735,999,147,783,458,987,713,227,014,437,265,040,141,668,258,237,
904,634,029,281,048,839,126,687,701,886,105,536,486,637,443,200,409,411,493,
804,071,569,035,987,773,230,371,908,377,333,173,709,492,081,964,658,840,990,
792,528,149,195,549,098,829,766,164,579,123,308,328,098,779,570,720,197,786,
004,657,427,761,042,531,091,172,100,551,993,270,947,214,491,143,677,645,380,
481,541,507,550,551,347,861,638,671,093,888,327,745,043,612,783,826,782,329,
252,974,981,083,701,320,767,568,325,083,212,176,505,785,232,919,686,620,596,
892,946,342,642,479,485,474,099,517,489,194,551,034,914,169,274,874,870,771,
697,870,625,179,879,960,255,045,837,913,181,433,816,681,328,330,601,665,003,
468,856,417,335,144,692,920,935,016,095,693,530,210,202,198,684,546,385,187,
830,066,070,239,029,960,303,169,045,245,943,190,968,665,444,076,803,348,348,
346,976,939,910,555,633,425,872,791,050,117,206,547,475,624,371,247,714,804,
527,390,726,079,411,294,841,092,726,812,536,933,587,699,174,384,825,052,299,
454,799,951,117,378,195,515,778,975,507,005,023,350,604,578,588,684,198,440,
810,356,142,016,409,758,871,824,827,777,689,318,560,077,374,259,637,270,003,
534,896,723,797,852,730,383,710,953,664,981,303,280,101,615,859,666,213,292,
602,661,599,486,263,523,201,619,449,227,660,750,991,509,892,581,869,660,108,
211,307,377,797,338,391,944,678,401,899,959,598,440,294,505,477,366,866,309,
270,783,950,548,812,225,141,044,295,291,629,422,181,536,117,217,841,811,802,
894,008,036,039,504,308,980,620,030,622,022,344,866,475,635,960,707,916,035,
975,430,222,202,594,385,837,049,411,425,645,503,417,797,963,079,554,118,390,
953,603,323,269,505,206,845,734,977,940,032,225,703,241,014,598,380,627,688,
822,155,322,217,778,296,808,378,586,079,095,604,998,744,492,365,868,086,477,
530,089,862,960,852,284,727,671,294,329,234,931,872,138,966,775,001,817,486,
894,154,832,346,090,730,562,972,958,003,447,184,449,168,795,971,281,781,077,
490,137,620,836,857,306,927,546,073,007,162,218,860,944,906,539,996,672,126,
733,125,818,022,832,723,265,621,651,562,063,856,109,600,833,547,536,919,380,
518,628,691,646,161,979,335,357,664,309,052,884,853,514,175,767,224,301,942,
320,027,266,299,993,443,862,378,400,487,621,553,680,350,013,728,476,068,132,
071,770,396,516,056,007,947,551,471,547,323,244,676,129,723,873,949,116,019,
360,177,209,414,288,672,687,393,291,869,687,663,531,107,764,141,615,814,122,
347,088,436,691,994,558,803,482,850,759,891,943,425,127,589,482,706,325,456,
877,906,639,945,675,049,159,514,525,817,379,045,736,560,234,255,072,556,001,
770,267,044,477,848,213,633,472,193,093,307,378,259,080,044,009,941,508,652,
888,664,046,159,978,641,523,323,895,260,271,789,095,679,179,875,503,564,587,
243,426,904,343,758,957,001,470,037,762,874,822,339,469,724,888,229,204,524,
162,774,901,507,322,896,922,688,924,936,233,582,947,767,356,338,293,652,356,
483,183,479,144,545,261,916,825,869,996,325,514,839,243,816,063,537,736,281,
521,744,348,865,859,555,476,371,245,512,610,426,919,297,589,611,441,835,439,
385,574,149,685,031,270,816,013,750,479,318,348,127,649,483,296,204,098,789,
795,205,535,130,798,649,803,989,324,550,408,721,561,960,803,772,842,926,663,
317,747,129,610,167,408,209,103,128,496,163,637,525,131,422,946,929,905,012,
000,190,249,900,515,006,398,784,272,883,543,654,317,586,183,427,647,830,976,
482,597,020,170,991,282,619,912,196,723,242,452,936,718,489,102,122,494,484,
976,704,455,295,717,170,947,275,515,597,168,830,092,692,123,544,992,828,285,
554,828,156,180,563,442,698,268,416,448,276,087,150,288,953,355,534,260,963,
476,732,543,400,914,147,536,865,266,372,877,067,914,109,825,451,595,198,606,
260,386,190,147,081,785,504,616,482,971,744,622,870,648,032,542,002,671,018,
187,799,405,704,020,327,081,987,308,391,890,569,039,577,713,863,662,416,498,
220,683,430,518,848,851,137,287,595,138,341,206,805,482,876,933,663,672,641,
819,012,448,637,886,282,178,499,986,765,271,251,540,084,654,630,983,506,868,
224,597,865,589,821,571,570,953,707,336,683,919,347,303,178,050,528,338,363,
442,042,005,067,319,124,757,632,623,990,283,770,801,645,106,211,951,856,335,
926,610,400,881,197,634,455,636,654,847,874,484,298,726,260,558,827,563,914,
435,140,821,143,400,742,654,074,267,594,976,662,022,256,060,758,720,037,970,
076,254,165,717,617,254,740,609,518,585,608,233,980,967,180,628,498,597,412,
092,668,170,601,087,110,865,545,624,095,637,377,551,776,816,065,242,622,603,
258,376,639,872,972,623,478,044,577,331,390,966,167,111,409,988,703,663,732,
799,874,878,838,945,238,995,596,755,157,980,247,265,087,205,285,025,195,702,
280,994,127,702,226,862,577,985,941,742,364,080,688,644,590,941,025,367,322,
996,814,236,975,627,650,538,922,492,776,279,829,383,451,535,943,678,705,142,
151,402,493,025,965,443,641,546,145,032,566,351,047,907,556,788,467,440,031,
817,505,087,184,682,069,910,691,910,095,578,566,145,888,560,198,089,134,817,
206,894,729,509,201,500,608,232,715,365,588,882,896,917,695,612,367,743,552,
558,069,277,421,530,702,171,477,380,359,940,448,726,177,119,849,748,579,719,
578,399,064,566,137,745,506,215,149,212,196,404,976,876,160,025,735,608,080,
885,414,513,783,940,819,754,499,033,174,887,665,884,862,449,833,121,068,651,
530,506,195,588,901,430,453,846,479,151,305,098,359,609,015,994,823,644,899,
488,921,882,884,802,887,562,211,422,148,776,466,397,453,356,353,479,918,234,
612,214,300,099,705,460,363,237,745,293,415,202,101,566,938,419,037,130,763,
495,023,660,400,582,252,147,543,670,673,728,957,922,284,390,911,721,537,745,
697,201,425,445,596,911,818,131,174,166,217,181,286,817,477,981,950,552,141,
977,317,052,934,168,366,736,231,893,634,605,968,149,423,859,289,378,912,565,
171,616,889,133,563,493,096,454,114,585,145,769,818,387,419,937,107,262,333,
765,356,789,900,318,445,835,757,472,282,472,008,328,273,589,801,599,163,173,
808,321,907,249,323,117,348,320,796,289,941,846,837,067,940,680,027,706,896,
267,897,901,781,561,023,075,887,475,194,795,006,432,783,280,770,529,710,240,
125,087,341,208,807,099,108,837,908,515,170,419,680,262,512,409,214,038,346,
939,380,267,678,921,364,257,745,282,334,412,502,031,501,576,271,234,710,618,
617,504,476,028,764,985,276,962,259,625,910,519,664,039,058,438,838,379,240,
020,696,686,819,551,309,309,134,956,177,079,492,319,147,511,387,438,105,220,
956,198,025,148,788,015,732,239,061,407,468,234,227,514,368,473,783,017,732,
724,963,675,959,691,292,597,089,010,544,118,418,905,780,252,889,566,054,246,
675,035,333,853,578,579,143,333,761,345,116,096,711,693,722,661,658,967,700,
966,536,377,883,095,215,093,628,697,402,156,811,320,134,810,542,098,535,686,
154,216,625,663,154,415,449,916,439,798,974,721,341,077,050,461,328,425,208,
006,819,824,397,166,764,087,728,024,626,733,338,264,391,176,672,638,724,739,
025,417,099,283,446,623,924,482,433,415,873,965,415,840,246,981,960,357,312,
265,742,675,950,015,499,528,460,274,512,238,257,547,185,333,149,578,635,086,
781,445,837,359,173,093,343,773,867,011,535,495,758,935,583,952,805,753,189,
803,807,667,592,109,127,701,044,997,959,553,718,181,771,665,407,038,111,213,
224,769,217,137,308,270,823,955,720,820,828,924,914,391,071,853,450,034,029,
207,091,317,355,973,879,376,062,214,070,180,738,961,179,449,101,154,292,859,
150,805,873,133,066,451,302,727,731,655,522,358,426,594,029,804,625,296,607,
114,824,614,855,086,824,050,830,068,672,617,990,774,510,134,949,307,050,925,
031,689,771,541,189,612,346,868,665,893,738,628,139,284,488,472,348,467,736,
328,485,180,633,205,840,952,351,579,947,316,987,561,413,457,382,529,265,392,
527,526,982,137,828,389,317,165,138,814,770,706,492,915,652,985,738,250,948,
291,259,253,568,666,824,679,524,374,056,547,023,848,980,241,071,618,229,571,
964,917,130,983,895,496,416,336,550,595,005,565,943,462,896,948,493,942,026,
060,995,618,148,638,582,472,312,610,880,067,279,417,665,472,967,268,524,544,
944,467,215,640,465,035,306,382,358,663,343,107,682,282,386,748,970,797,912,
087,003,846,375,723,773,924,373,594,665,706,399,753,797,631,577,981,891,979,
027,117,150,270,494,468,323,882,030,265,761,729,314,733,498,778,740,616,535,
114,989,870,447,757,038,042,216,326,191,819,687,558,230,822,904,722,866,370,
381,994,539,508,104,907,576,421,112,494,118,786,463,579,491,644,325,484,272,
980,686,291,619,213,944,463,831,753,811,937,734,349,765,573,985,379,558,151,
477,007,437,996,780,435,098,716,563,696,250,847,624,393,161,781,493,072,861,
687,604,047,396,379,086,376,293,856,381,000,877,729,017,995,232,310,084,899,
959,166,563,059,247,768,027,400,227,002,522,661,893,476,344,288,305,260,417,
547,466,005,895,126,339,076,935,704,194,454,830,346,745,046,468,483,971,633,
823,521,747,440,157,585,291,045,194,684,126,659,764,096,598,038,520,406,316,
632,491,102,935,885,674,331,013,453,521,928,067,730,797,355,870,472,877,328,
298,206,557,606,612,886,128,469,153,773,359,370,088,094,304,304,119,873,131,
858,232,852,912,360,437,643,718,362,170,667,598,804,873,062,046,133,902,881,
901,822,035,703,543,389,232,109,716,388,563,581,444,354,545,653,565,664,563,
867,522,864,719,929,837,978,793,047,592,646,248,032,566,232,852,838,675,552,
381,534,217,386,578,539,752,917,179,524,129,892,179,587,387,958,373,568,570,
632,184,708,735,778,509,517,293,841,653,972,546,169,274,378,388,202,650,305,
297,237,156,824,732,877,499,770,500,748,479,954,295,688,845,598,485,494,196,
128,641,972,766,195,206,772,724,649,041,126,984,494,315,907,134,886,745,840,
106,039,484,475,658,659,690,637,671,397,102,734,888,779,661,830,649,253,173,
900,466,905,322,088,397,880,603,764,434,508,532,147,925,586,635,551,425,687,
187,242,278,422,039,447,507,325,882,859,104,813,993,779,526,037,682,748,592,
398,213,908,181,461,114,290,604,715,361,396,242,002,179,158,544,254,406,463,
122,511,063,898,254,308,545,044,263,193,370,228,455,839,452,944,412,101,294,
256,411,659,704,231,260,829,633,451,973,622,182,821,368,355,873,075,929,227,
952,937,314,436,294,472,066,866,743,777,598,155,744,667,445,175,462,312,449,
915,230,344,405,203,201,926,314,649,939,743,736,081,133,584,593,260,968,894,
758,475,524,948,347,217,115,712,965,085,053,857,549,873,565,956,397,211,502,
964,712,122,773,922,492,063,802,042,730,985,602,601,241,299,381,137,947,443,
248,610,570,250,411,536,322,385,716,006,924,869,072,881,106,997,265,153,314,
004,508,263,183,653,971,825,293,415,696,118,420,707,478,250,804,011,442,435,
612,576,615,078,447,535,233,311,846,456,016,334,541,047,977,355,455,745,470,
127,276,075,174,751,589,966,641,447,161,425,822,062,345,994,921,063,586,089,
161,385,828,342,572,649,574,713,906,210,316,329,179,605,382,932,585,626,378,
614,880,484,244,465,097,203,147,510,196,301,163,886,916,916,183,208,259,261,
088,380,312,093,036,429,619,169,859,199,368,848,670,081,863,020,864,034,012,
575,711,033,234,334,004,546,788,499,677,406,039,133,372,708,145,941,908,500,
279,023,736,815,783,838,911,900,369,747,959,757,227,313,062,378,857,614,592,
760,697,438,221,574,564,181,392,630,392,581,283,887,567,115,345,841,962,998,
628,862,460,105,931,902,132,383,953,577,069,568,644,723,174,590,173,774,069,
654,355,153,408,375,173,774,377,680,621,496,193,050,671,651,128,075,445,454,
957,364,469,192,710,997,617,890,224,680,438,971,280,379,118,090,583,916,897,
156,748,672,041,981,528,327,139,893,068,641,486,391,606,631,352,701,961,746,
295,854,190,935,171,025,751,339,211,607,160,904,419,526,300,071,467,879,169,
805,590,548,343,881,717,053,117,913,990,667,405,072,277,914,930,830,631,657,
903,008,634,289,398,677,188,922,937,605,240,598,587,444,268,516,619,701,246,
315,221,812,868,278,991,496,047,967,482,443,977,060,512,887,085,189,534,799,
285,681,329,118,707,067,355,754,544,527,621,687,217,117,095,282,353,509,291,
926,677,595,186,561,988,580,576,524,343,840,891,480,882,098,561,623,811,370,
621,716,908,020,150,948,257,946,793,475,416,333,211,681,405,698,631,132,202,
427,631,688,589,862,163,477,768,559,020,919,426,175,395,429,819,231,549,233,
936,909,510,933,587,561,309,685,173,363,721,015,120,679,177,264,171,331,216,
740,944,650,087,313,084,785,518,220,990,000,885,719,241,368,217,711,772,482,
244,303,364,396,863,916,274,567,042,078,656,905,490,169,067,310,485,796,005,
431,636,685,558,665,323,087,548,969,049,114,573,438,091,222,739,559,524,905,
325,011,961,745,764,566,320,762,812,809,802,838,017,217,322,855,551,891,189,
031,646,347,356,209,329,446,977,901,457,709,281,358,746,785,444,804,328,965,
713,882,702,788,777,182,353,765,606,769,240,924,001,233,219,655,119,127,393,
410,130,312,742,382,395,303,546,779,682,206,661,804,487,421,251,595,509,104,
664,321,911,086,773,093,191,114,958,646,320,703,534,438,471,356,110,544,301,
380,915,225,295,260,650,964,003,530,933,402,480,322,438,894,901,626,095,062,
583,486,362,256,140,357,875,533,065,867,819,638,361,975,776,799,027,841,133,
590,179,920,478,374,042,263,482,891,867,717,980,293,457,705,975,286,599,990,
314,893,882,238,930,032,302,747,400,719,660,037,087,244,041,276,058,830,639,
098,937,181,771,985,940,224,800,898,187,559,150,411,253,262,267,531,860,083,
772,903,292,560,443,667,769,117,650,532,940,980,008,717,719,648,022,869,567,
943,770,332,312,755,208,878,472,856,511,619,925,041,846,188,200,638,360,546,
720,233,559,504,219,454,139,753,965,128,687,245,009,729,970,228,453,253,787,
016,269,473,368,868,885,033,304,029,172,875,604,165,180,629,641,448,479,655,
512,838,048,149,846,182,800,029,785,409,875,842,904,217,177,563,802,763,225,
025,613,652,047,706,602,632,186,642,981,863,618,189,664,656,995,328,149,623,
086,660,013,932,916,591,301,460,464,749,183,521,332,280,232,133,650,883,367,
977,066,695,838,461,092,100,786,108,551,793,999,022,669,329,266,644,302,941,
976,270,660,045,884,584,543,735,014,630,724,242,343,293,332,694,663,060,388,
539,012,236,989,619,303,223,399,137,663,830,892,975,018,709,009,230,206,858,
514,295,219,509,987,906,228,537,063,222,540,310,039,976,445,107,302,164,491,
621,491,524,625,264,697,781,220,068,084,305,239,391,207,894,386,128,693,924,
809,740,038,987,224,657,930,354,528,389,309,653,221,978,077,744,743,546,273,
214,439,310,396,801,079,192,056,460,941,750,904,325,857,160,822,524,969,210,
618,149,439,300,848,748,962,917,177,012,672,824,517,699,800,189,564,419,479,
388,006,338,818,790,841,438,083,900,908,647,895,195,774,856,474,613,086,049,
603,902,717,072,319,364,826,940,800,257,730,238,645,372,283,097,907,710,101,
353,427,418,658,526,403,015,384,454,087,348,167,863,740,808,222,315,736,402,
603,367,073,757,786,816,769,881,768,845,572,658,562,356,743,760,760,738,176,
132,539,247,153,024,555,085,530,676,057,605,148,539,645,795,005,386,291,111,
113,667,219,398,793,983,946,582,582,514,164,831,086,461,029,009,292,253,131,
554,748,117,180,062,555,228,511,487,475,185,595,928,886,219,850,221,918,471,
081,146,138,264,131,361,437,079,565,082,044,043,713,985,196,790,895,847,729,
138,241,224,742,120,327,408,049,592,149,469,208,206,527,131,407,348,596,380,
246,911,772,380,560,133,515,208,419,017,007,890,442,473,905,269,070,568,887,
717,428,232,894,728,133,294,394,049,422,331,709,756,888,793,472,762,548,386,
462,172,226,489,020,694,494,646,053,371,178,169,702,589,929,330,276,818,881,
563,625,581,281,703,933,012,562,787,305,773,254,694,576,239,829,184,260,702,
234,279,073,478,726,607,168,176,428,744,974,172,955,943,650,721,848,976,596,
766,996,040,070,972,728,673,432,514,605,782,183,481,621,891,010,070,790,516,
686,459,084,973,450,849,482,494,159,010,281,492,596,296,713,844,435,147,592,
028,741,477,473,922,021,059,290,468,980,210,026,928,138,931,038,551,806,656,
762,814,476,137,523,569,741,425,515,443,423,550,018,906,032,600,124,251,890,
688,714,766,031,142,950,050,997,363,940,326,477,216,938,675,645,295,021,467,
200,301,148,180,067,575,139,997,586,769,848,541,247,317,074,888,137,171,075,
494,332,243,283,273,512,042,077,969,373,487,713,804,788,496,085,865,530,755,
223,010,889,306,847,619,781,465,472,257,443,748,433,865,900,528,799,356,843,
782,732,416,552,703,376,909,701,288,706,478,927,337,429,360,726,959,482,522,
856,387,061,178,675,821,399,337,120,898,071,105,265,556,154,277,908,991,444,
184,363,264,489,835,846,818,291,290,251,219,357,799,411,730,634,501,898,477,
081,008,540,220,935,497,361,610,099,831,222,382,660,936,179,784,366,809,825,
288,994,528,126,157,119,989,144,972,422,180,792,120,176,504,817,933,386,991,
041,958,494,692,613,263,227,794,137,175,520,683,250,745,526,339,493,581,450,
457,902,050,032,397,751,509,369,195,847,016,323,022,896,636,011,003,300,750,
000,568,944,877,100,017,098,271,546,621,661,620,767,466,385,468,231,958,337,
675,318,946,062,498,684,375,848,530,378,090,884,453,540,596,535,311,765,980,
512,006,924,277,012,069,846,094,451,149,687,099,598,615,829,812,670,146,062,
791,020,034,936,312,712,037,170,817,736,951,718,684,953,034,902,803,351,378,
798,587,048,774,207,533,429,577,006,473,637,995,058,011,548,737,688,373,759,
848,141,592,293,089,402,362,085,368,347,033,736,737,395,711,554,346,220,552,
648,237,510,167,155,448,680,171,586,746,705,327,318,504,896,228,610,273,117,
349,127,882,139,649,896,240,425,549,606,308,349,125,321,437,473,767,287,758,
200,183,409,206,088,919,999,565,368,717,757,204,003,125,678,688,226,949,648,
716,320,159,741,833,837,029,016,681,703,680,859,944,067,344,990,675,834,978,
857,155,521,975,238,464,769,312,033,020,459,233,984,447,612,726,674,362,497,
632,767,546,780,080,100,105,012,836,938,549,456,367,607,932,491,517,421,420,
013,246,239,012,781,137,741,433,580,671,294,542,301,538,233,243,355,285,483,
061,458,936,015,351,873,365,237,220,707,253,191,985,385,917,127,232,890,799,
649,138,878,502,902,947,153,058,077,375,894,222,600,171,878,396,072,945,012,
631,225,541,759,991,988,407,190,778,192,688,049,640,751,761,796,967,954,997,
229,622,636,293,547,192,962,393,994,321,952,023,723,970,044,964,447,461,294,
848,453,482,765,337,598,394,961,859,390,174,828,896,459,240,792,993,670,221,
385,324,943,300,684,353,671,467,018,671,686,991,691,628,805,465,711,924,589,
233,008,335,918,973,846,943,099,520,756,296,860,795,173,553,431,303,350,403,
503,618,539,962,108,273,850,055,847,823,176,738,557,772,212,535,784,960,545,
733,289,412,379,946,586,165,152,571,780,878,177,734,020,102,585,374,146,976,
861,427,342,275,643,523,007,164,955,903,072,618,153,544,298,342,159,280,658,
280,420,892,578,100,894,592,265,248,226,851,074,857,770,039,903,622,653,484,
620,059,653,910,591,684,072,838,026,888,403,721,931,972,090,791,501,150,437,
112,251,435,965,705,556,378,148,609,279,845,854,130,970,813,234,955,157,763,
593,098,129,173,404,041,404,680,818,937,211,996,000,221,377,608,892,227,590,
491,867,915,756,070,002,919,121,277,869,291,993,845,012,546,998,681,718,212,
927,738,524,168,497,193,365,781,404,805,051,862,888,255,882,994,707,733,580,
204,467,279,882,998,245,428,851,141,523,099,364,511,000,025,815,152,089,774,
724,565,756,095,922,267,921,108,686,296,622,164,636,896,844,791,921,696,444,
376,401,529,924,754,671,368,867,530,439,159,702,796,534,262,387,156,505,847,
455,443,444,303,692,993,358,920,929,919,285,336,474,412,077,673,887,323,918,
887,106,534,534,352,633,047,973,830,089,528,164,858,998,691,142,723,684,481,
748,705,749,069,875,558,575,542,520,218,865,305,981,940,640,385,796,283,631,
348,659,504,684,418,823,500,428,296,938,231,720,680,042,735,554,051,373,926,
346,488,064,985,624,877,124,561,783,297,275,933,144,918,608,398,000,983,399,
497,680,504,584,132,003,116,561,367,988,254,593,464,964,711,307,691,284,047,
930,458,277,990,684,131,427,373,743,362,313,803,890,240,379,321,842,906,511,
425,416,538,315,377,072,777,921,531,169,710,120,215,137,008,206,954,556,106,
551,923,309,023,933,597,193,633,760,358,123,142,280,134,165,672,366,655,681,
989,626,467,458,507,118,055,442,186,174,247,273,580,548,229,082,407,789,753,
712,252,695,146,086,314,889,188,731,692,979,516,785,400,786,643,376,340,166,
713,818,707,211,933,296,484,794,000,158,035,768,757,121,308,253,070,197,942,
849,486,339,014,104,854,101,448,233,301,086,246,982,608,896,708,895,904,983,
641,346,908,234,460,524,999,561,930,285,122,019,268,703,102,859,235,364,175,
500,304,186,205,718,997,001,901,539,535,439,116,505,847,253,098,131,083,025,
128,055,969,152,326,461,327,193,115,530,280,044,522,097,203,541,114,563,947,
972,842,614,805,079,962,328,316,434,837,961,226,562,696,693,225,186,600,547,
630,501,168,443,728,721,209,407,944,561,663,845,091,851,346,672,858,066,887,
671,847,725,432,140,694,850,017,777,166,693,321,092,186,806,120,521,155,551,
192,141,343,085,878,656,171,197,214,321,794,237,178,222,083,129,294,587,077,
355,464,182,978,305,653,681,900,896,617,950,484,439,091,915,054,488,632,834,
728,235,420,443,878,281,631,748,514,360,995,404,521,977,025,698,282,061,717,
061,496,834,318,906,465,723,406,285,987,872,850,979,017,697,670,016,546,021,
581,338,640,211,553,039,733,372,343,531,856,873,076,678,674,818,208,014,573,
717,055,566,801,537,338,870,566,176,595,352,496,863,464,343,234,382,431,780,
612,760,894,251,086,244,412,222,949,213,245,984,330,316,580,076,440,067,779,
907,615,725,386,462,390,884,073,847,250,862,073,724,613,157,596,274,073,032,
775,990,285,328,803,260,726,620,595,300,064,506,413,477,352,689,148,548,742,
370,929,167,874,797,920,012,124,040,822,529,767,334,728,294,261,648,327,752,
437,962,359,651,505,138,865,085,921,508,353,207,231,173,046,048,747,003,810,
862,388,092,837,058,445,209,799,598,589,751,978,881,844,558,066,145,351,176,
114,772,075,690,077,553,879,979,192,718,760,422,888,267,910,684,883,385,651,
585,802,399,547,861,663,091,786,352,248,962,721,750,389,765,780,282,020,997,
893,075,169,472,725,044,457,895,439,957,638,304,189,918,145,081,160,123,869,
198,007,577,659,816,030,860,919,802,006,770,191,237,286,397,862,194,168,290,
486,115,518,111,949,193,222,917,857,172,372,829,119,256,710,717,063,843,555,
258,170,770,967,777,230,749,288,472,567,238,515,622,808,552,632,067,024,908,
607,425,361,842,983,315,982,996,057,623,770,456,253,751,720,689,464,343,338,
671,589,587,765,668,715,272,925,398,299,561,399,259,856,816,727,014,995,346,
456,702,050,027,396,559,082,639,398,693,474,077,602,969,668,076,511,321,536,
633,591,007,365,178,377,153,776,249,978,085,583,613,249,500,960,434,777,712,
824,337,424,369,905,586,742,960,836,362,198,533,111,527,012,586,730,235,026,
562,181,606,462,717,590,706,090,359,694,423,046,568,610,597,304,150,456,488,
613,461,646,308,927,314,413,686,670,248,852,713,736,586,233,217,424,467,715,
717,466,284,178,905,894,881,195,435,573,282,031,974,996,238,372,279,341,714,
319,767,433,302,580,101,031,969,939,656,987,141,988,242,513,812,948,120,338,
622,923,590,452,236,191,292,946,179,021,590,222,496,632,364,562,707,673,258,
892,379,050,310,167,119,621,601,798,275,002,792,560,258,184,394,575,401,644,
177,497,795,109,414,899,219,396,968,503,328,202,832,329,176,889,683,054,993,
695,549,611,937,134,055,315,698,874,388,827,993,601,271,752,420,860,583,061,
679,344,710,053,973,348,101,062,466,307,260,643,037,061,717,487,545,582,559,
224,846,675,625,390,028,696,637,583,309,474,838,047,420,162,333,112,865,557,
292,070,680,713,098,874,903,151,879,449,148,811,381,268,797,054,774,345,035,
397,819,645,811,756,186,716,803,988,707,317,760,111,462,681,312,365,278,217,
823,438,274,837,192,160,546,995,684,711,363,374,628,800,924,049,072,659,870,
929,719,129,344,385,032,103,886,645,806,476,135,326,272,133,253,374,177,373,
604,576,862,124,240,103,055,351,528,751,943,449,994,718,411,058,820,891,952,
213,197,923,348,715,945,637,229,447,723,629,219,191,074,740,095,572,690,257,
114,157,369,882,160,961,767,044,544,911,461,062,364,315,274,508,599,840,910,
372,099,149,078,137,815,118,302,425,103,020,904,788,448,855,512,582,134,193,
017,098,671,170,549,025,912,158,788,441,373,519,191,985,132,513,821,645,732,
000,117,093,498,272,117,939,877,577,082,762,154,578,859,569,236,287,334,437,
193,429,087,735,068,508,327,451,884,964,620,431,079,713,510,715,053,989,105,
195,738,997,585,712,541,533,769,387,658,804,642,551,355,691,823,673,914,514,
014,320,301,952,257,137,582,053,017,490,832,899,250,246,076,356,890,221,916,
241,581,312,289,159,773,284,090,595,810,257,526,327,794,501,675,278,913,861,
899,564,857,340,118,132,275,965,426,304,829,901,451,890,452,420,172,091,186,
452,001,857,066,227,093,691,840,803,684,577,668,781,888,045,222,440,673,300,
917,691,299,664,000,887,756,104,556,974,051,683,009,904,878,118,145,346,479,
097,375,042,594,627,869,905,437,121,901,194,334,960,102,017,077,738,609,817,
980,998,917,366,205,734,396,337,801,730,542,102,871,068,832,790,061,022,949,
487,707,060,935,688,548,654,862,068,000,711,521,007,714,000,340,653,697,388,
217,410,128,213,447,061,094,316,435,597,058,809,874,172,785,265,548,258,805,
398,033,328,941,806,285,532,498,760,154,132,693,847,257,392,830,844,332,882,
867,498,021,494,223,429,939,219,064,572,817,999,197,474,792,482,555,947,663,
247,613,366,278,170,106,108,196,175,544,026,183,872,710,504,912,591,033,635,
375,237,622,389,953,143,087,392,672,096,384,707,847,752,935,062,260,142,439,
462,081,016,350,932,846,237,824,847,233,247,271,259,665,808,995,359,044,736,
206,688,698,971,479,417,592,039,903,466,060,777,795,040,490,343,691,132,044,
959,369,220,663,774,155,798,513,920,974,294,646,199,857,171,255,514,763,650,
844,205,138,925,036,424,564,192,189,444,880,250,203,396,903,927,155,712,152,
400,374,755,779,770,877,889,657,202,142,467,594,307,223,434,569,492,571,573,
692,954,215,726,261,898,301,125,486,457,846,017,205,892,654,368,998,701,570,
020,947,154,217,744,732,578,588,370,668,265,700,526,941,170,164,076,286,956,
819,031,371,692,732,503,102,501,920,737,572,059,818,235,231,532,281,873,853,
530,015,067,003,119,359,450,612,848,663,129,615,229,626,788,607,715,825,745,
437,725,689,096,268,113,271,070,223,707,076,440,583,207,165,011,826,929,432,
474,499,388,035,135,914,746,484,279,122,649,527,517,646,200,861,934,513,974,
558,580,943,071,630,670,122,308,087,877,214,223,973,133,928,023,616,937,774,
769,104,780,220,794,989,783,540,593,888,379,886,316,091,686,846,504,651,002,
332,508,514,554,382,035,672,166,245,354,863,079,543,223,869,065,997,968,505,
999,001,091,656,163,267,771,770,613,003,251,080,955,839,194,461,562,272,960,
892,239,457,012,554,050,511,822,431,151,714,302,938,382,394,532,805,796,905,
194,441,530,247,068,480,677,458,002,719,968,425,955,368,728,101,337,035,377,
975,132,255,185,638,968,378,343,996,330,503,860,046,215,132,762,287,846,047,
273,995,568,562,303,369,209,313,048,486,978,683,096,993,653,526,228,798,497,
817,166,529,719,651,041,695,747,903,292,446,994,128,661,586,495,417,208,034,
884,051,447,556,011,361,402,382,469,598,227,323,452,739,269,416,207,356,428,
436,493,108,997,686,353,531,168,118,463,869,181,548,857,568,615,269,126,828,
170,910,494,840,828,414,261,772,064,951,679,303,799,973,225,062,194,852,944,
662,134,600,607,504,057,609,369,165,638,641,406,202,732,582,838,508,003,259,
833,868,259,292,369,412,906,119,589,616,595,912,296,892,852,017,359,381,830,
305,948,290,197,630,414,086,279,054,001,735,248,946,422,953,434,452,867,367,
867,680,305,043,603,496,193,822,350,588,746,611,132,816,539,364,365,113,567,
979,420,221,249,140,498,862,405,714,141,488,273,616,799,707,749,326,221,216,
662,977,630,467,518,950,609,859,460,237,295,812,672,007,349,084,834,922,375,
730,405,949,503,935,355,270,956,709,913,913,909,208,621,036,709,471,150,130,
721,354,753,065,625,081,256,142,223,299,556,079,258,796,824,096,545,364,395,
305,471,940,750,285,251,130,871,412,365,416,998,938,697,620,733,678,557,088,
031,702,847,587,516,722,766,467,527,531,391,131,590,779,853,183,500,323,845,
165,952,877,174,954,372,874,573,647,969,152,497,039,402,800,618,664,681,669,
513,569,825,331,610,906,956,992,799,907,165,444,318,473,892,951,898,490,100,
828,408,361,731,965,001,946,831,065,145,949,965,467,770,294,015,346,738,075,
001,535,649,132,859,181,857,592,903,355,183,950,491,464,687,713,922,017,503,
970,883,123,214,633,960,711,090,423,524,800,003,457,501,695,775,308,815,687,
086,240,001,425,278,311,608,517,259,447,607,129,650,179,232,569,493,221,695,
255,222,959,851,510,208,735,179,876,130,956,965,531,720,814,014,668,968,016,
558,943,254,223,707,273,416,643,263,279,203,445,348,346,286,384,131,280,948,
037,811,355,029,100,590,190,698,970,880,479,850,154,855,118,652,643,819,954,
683,557,510,253,598,873,172,909,352,190,570,260,077,870,612,021,330,065,828,
789,544,256,752,985,049,283,309,966,504,901,670,005,832,458,669,618,850,340,
511,698,314,606,208,859,990,279,176,530,241,220,785,254,939,788,073,889,950,
885,352,211,806,088,010,208,142,075,855,578,832,334,524,526,188,928,053,640,
558,767,587,642,469,036,010,153,376,978,870,470,165,807,561,180,691,721,567,
993,311,907,567,435,107,900,103,478,509,752,965,775,797,118,466,514,388,347,
354,482,966,535,357,586,212,271,678,381,052,954,183,285,335,918,002,533,041,
962,336,652,443,368,067,813,733,124,529,787,374,279,444,833,034,700,832,531,
361,440,348,773,303,689,618,247,251,190,882,491,939,822,455,487,075,503,579,
337,269,429,331,376,625,807,104,235,979,634,868,722,977,184,424,095,980,342,
445,801,706,265,601,846,920,695,915,818,646,397,639,692,711,470,603,986,551,
788,231,479,351,689,661,830,727,633,935,326,855,754,409,103,901,929,009,629,
470,922,466,348,602,772,169,844,479,369,255,370,361,003,596,413,144,428,688,
773,598,756,558,157,288,807,425,938,643,521,499,909,427,484,086,787,710,520,
223,969,544,885,247,365,883,831,381,522,175,932,131,344,383,178,391,162,251,
376,995,419,113,657,265,779,982,179,294,617,269,649,126,379,204,246,426,821,
939,699,053,143,030,867,956,715,578,580,651,769,804,343,874,847,394,160,022,
193,431,778,087,159,448,575,778,912,556,294,634,068,077,759,147,811,047,730,
019,273,876,902,846,808,863,923,847,425,515,891,552,542,634,765,148,436,388,
067,131,488,225,565,951,598,822,871,451,291,498,281,256,942,996,076,852,328,
156,065,470,622,827,098,505,063,023,903,320,229,459,183,583,742,582,133,493,
364,275,319,116,472,237,090,062,906,846,220,523,747,898,912,903,287,836,428,
605,030,535,697,358,523,782,389,231,742,852,756,183,976,231,088,874,090,585,
877,591,546,926,928,789,488,812,203,536,026,284,490,734,679,114,102,539,785,
803,783,566,446,862,738,218,874,688,106,295,812,137,843,538,049,191,003,501,
001,242,095,581,976,949,961,553,506,107,206,188,681,603,503,736,530,672,282,
217,254,874,115,537,104,633,772,475,573,646,371,826,132,170,557,695,088,006,
258,084,716,712,411,114,189,977,469,351,666,272,546,680,544,806,533,488,422,
186,019,463,728,236,642,412,421,407,385,888,304,006,766,458,287,293,586,154,
760,449,305,287,425,714,711,250,913,211,824,465,275,849,581,670,216,135,405,
451,005,891,570,046,695,536,680,177,211,060,231,350,603,702,674,574,623,154,
469,858,411,710,927,551,370,583,419,604,119,966,765,565,494,953,758,275,255,
849,917,813,485,611,444,684,111,885,206,366,442,409,917,535,050,378,970,736,
298,442,670,847,911,861,336,820,185,393,327,548,896,921,706,850,335,042,405,
251,955,720,450,427,811,821,344,945,417,902,375,226,478,220,930,179,700,781,
301,897,694,353,617,688,159,545,205,353,737,722,861,476,501,328,097,738,466,
232,738,937,208,761,145,366,172,686,504,060,014,516,074,008,667,615,347,878,
414,870,878,353,111,039,020,036,845,350,642,887,855,665,859,563,200,731,682,
212,020,664,485,970,245,494,227,861,932,501,571,209,431,736,677,919,109,322,
432,810,186,462,180,250,092,785,536,574,718,689,496,166,610,465,070,797,839,
275,582,408,447,330,649,626,457,587,187,718,501,200,586,610,230,178,926,898,
063,633,068,825,833,860,856,277,575,784,447,328,706,444,985,249,190,539,101,
189,267,139,488,977,447,340,235,781,819,763,083,805,771,044,277,831,489,966,
457,007,252,625,643,507,145,593,608,014,446,365,953,484,492,595,166,032,241,
389,859,482,794,079,163,239,064,297,589,137,667,462,073,633,602,885,679,380,
044,487,363,955,024,779,772,753,226,852,044,164,221,333,826,127,802,511,226,
423,013,400,115,585,680,970,993,760,309,134,911,832,030,680,909,658,872,030,
859,057,009,717,089,519,185,576,737,251,539,265,885,293,464,880,000,005,224,
843,286,367,412,115,348,697,719,747,694,469,719,830,257,901,106,814,113,665,
758,932,425,491,466,291,423,353,415,388,740,232,111,388,265,034,818,241,818,
226,409,123,364,487,445,383,155,895,298,251,213,146,018,440,167,738,613,259,
017,092,782,890,006,903,631,070,256,859,603,376,999,535,844,249,138,258,937,
432,096,837,570,429,341,800,941,750,975,062,130,162,788,558,434,351,102,745,
802,456,004,411,199,482,678,533,048,879,837,068,037,262,536,628,020,212,425,
656,147,281,027,608,583,027,736,999,205,530,012,085,597,797,937,860,850,190,
414,195,727,222,667,615,815,527,400,892,514,991,098,007,653,297,726,745,376,
065,552,575,529,598,606,232,507,731,609,278,728,234,572,845,708,809,088,488,
093,946,976,909,964,913,236,875,146,430,922,284,010,394,056,259,462,521,277,
209,693,651,518,672,545,968,927,126,562,640,753,561,053,430,833,770,308,137,
798,962,385,870,412,986,140,474,512,304,332,405,322,761,269,775,940,179,374,
188,474,260,332,402,871,339,192,316,794,922,377,601,736,573,939,616,020,225,
341,697,823,777,018,692,191,515,460,703,491,732,563,706,541,629,316,677,131,
384,924,702,025,995,738,242,764,473,181,620,991,950,063,996,546,854,570,176,
394,859,686,779,906,523,985,298,253,798,973,778,290,381,206,384,257,357,459,
524,146,081,737,044,815,178,893,874,899,102,921,892,731,758,893,779,830,808,
966,147,706,259,149,992,115,894,654,760,516,426,302,180,078,342,788,893,024,
609,160,806,627,848,856,439,914,795,167,517,779,152,914,925,555,199,130,038,
628,985,354,806,668,597,250,040,268,285,988,614,744,142,316,650,962,694,837,
238,482,758,193,244,011,652,046,985,342,518,595,909,436,833,174,195,219,356,
781,449,767,000,144,884,581,793,114,483,042,547,649,854,224,121,523,155,880,
942,659,860,531,946,999,278,961,721,164,504,619,124,548,531,147,682,483,362,
379,146,362,714,858,348,062,071,467,619,186,881,686,373,158,987,298,795,202,
595,733,993,760,739,617,883,170,189,507,984,343,664,804,633,764,752,666,297,
151,252,165,981,720,331,860,836,688,234,777,444,141,745,394,895,870,062,846,
591,859,434,876,173,179,784,191,573,265,162,722,414,871,877,016,847,453,092,
220,213,313,972,339,791,005,064,064,328,134,805,407,667,619,052,789,881,936,
675,389,618,777,189,378,138,385,965,482,987,239,143,185,066,183,537,775,600,
664,157,702,081,792,198,148,850,734,029,508,810,061,825,836,651,790,831,705,
403,676,768,753,933,175,169,973,767,202,306,264,205,899,432,779,163,917,734,
029,300,726,667,773,353,581,723,902,816,029,931,683,716,349,556,626,699,774,
181,586,554,169,714,018,630,519,638,701,777,402,310,294,741,712,946,492,324,
029,879,489,356,469,669,937,844,603,673,954,448,071,280,471,632,121,363,375,
565,039,859,277,122,157,486,588,243,797,439,159,706,455,097,500,237,774,242,
804,286,502,331,269,387,582,060,677,545,134,012,726,265,093,993,685,943,185,
618,900,778,945,905,559,593,961,182,761,614,001,497,274,492,942,674,841,648,
805,090,224,949,141,805,726,974,743,190,541,890,938,943,833,372,780,818,622,
057,269,650,786,829,504,431,847,472,918,819,402,367,417,423,785,839,810,878,
802,900,570,177,826,956,917,960,179,403,449,421,459,686,963,216,821,184,469,
830,527,431,082,101,047,736,037,847,811,676,205,900,667,125,977,960,597,533,
798,215,660,413,594,868,932,994,103,832,935,663,076,279,470,481,387,482,926,
549,780,819,139,838,572,915,297,574,364,100,442,695,749,088,202,766,359,341,
980,197,207,032,529,210,951,474,703,032,777,025,551,374,718,434,134,911,623,
376,729,939,151,659,124,838,947,160,861,998,833,441,014,709,262,244,056,718,
088,076,403,230,114,791,193,121,191,981,913,026,668,315,900,186,947,081,758,
801,978,614,435,818,880,490,061,201,239,353,140,955,727,794,665,921,162,953,
117,528,689,375,558,240,152,992,365,532,527,677,111,747,007,718,067,587,726,
169,244,213,917,336,725,339,572,947,558,631,510,484,424,784,554,977,380,900,
975,337,087,698,787,274,943,314,959,184,899,043,406,759,523,731,299,008,332,
560,312,998,702,662,085,094,851,549,174,081,682,679,277,561,440,780,853,734,
733,358,229,983,622,343,735,492,101,360,901,158,363,874,831,921,599,437,901,
625,612,760,665,789,286,400,358,937,474,726,399,060,729,449,072,517,633,795,
114,572,285,805,471,465,722,374,499,494,433,021,207,678,501,843,897,203,339,
570,434,824,709,562,649,323,074,682,158,609,420,529,795,645,929,814,751,627,
593,242,369,171,777,491,816,231,406,109,134,875,403,165,043,254,615,117,287,
372,203,224,410,830,135,808,094,593,475,753,444,882,392,019,352,236,728,171,
050,829,130,279,486,734,599,527,443,669,292,775,497,424,802,988,404,009,848,
682,170,455,783,236,259,752,260,848,305,214,404,365,257,599,742,258,784,052,
096,322,127,413,736,039,873,795,272,493,607,084,364,414,374,802,938,895,369,
441,593,982,382,069,478,889,870,782,251,370,339,103,736,666,472,092,156,702,
572,703,892,916,124,540,291,926,965,817,470,313,678,666,466,253,124,219,969,
384,834,890,757,597,464,797,116,674,962,357,926,984,595,844,093,968,408,203,
423,090,831,030,867,185,508,459,615,893,850,156,126,743,865,505,475,547,380,
804,564,156,993,058,855,229,840,179,674,349,530,558,181,416,616,800,416,683,
193,399,226,089,482,672,839,289,988,735,895,548,664,615,949,479,629,021,485,
247,224,097,695,637,558,075,341,405,905,892,289,064,868,243,056,931,866,601,
068,851,602,148,163,474,955,173,839,827,478,946,651,713,324,435,889,674,022,
664,813,064,292,611,841,066,016,904,212,145,501,924,778,637,992,015,542,006,
168,544,314,092,314,450,090,338,492,899,063,968,549,755,827,176,321,904,810,
042,431,676,049,517,558,343,078,540,419,097,899,806,392,648,449,670,646,347,
749,975,935,655,868,467,086,019,842,300,647,238,682,829,254,111,346,291,861,
258,025,305,888,167,087,942,384,218,919,565,126,807,132,917,425,363,540,538,
751,350,627,659,595,955,779,960,395,564,578,575,985,683,532,241,641,857,469,
773,095,823,809,046,248,657,274,804,679,154,730,112,643,786,840,640,427,935,
032,125,771,845,477,025,222,973,433,733,795,324,959,359,856,136,852,049,724,
539,514,880,844,135,174,175,358,333,384,784,811,268,919,598,528,395,184,134,
999,243,972,313,685,217,817,608,356,158,481,958,472,864,870,926,651,215,532,
371,162,373,388,952,778,399,240,086,835,354,210,059,433,319,083,719,374,984,
852,906,012,424,762,867,198,164,968,882,423,217,723,108,057,475,605,653,781,
127,454,565,167,497,228,209,116,392,698,068,888,847,056,324,376,359,516,431,
254,775,125,554,280,226,224,391,265,969,366,369,976,405,559,931,016,195,088,
838,576,001,902,605,167,173,507,686,732,193,429,397,570,340,519,701,679,399,
452,259,109,352,984,933,335,135,464,325,076,130,959,180,460,564,294,196,895,
899,587,261,616,179,636,400,780,908,291,540,828,540,154,075,871,761,876,447,
863,705,751,816,078,674,261,218,844,275,284,041,958,566,986,905,660,428,114,
574,415,362,262,346,728,729,974,532,281,306,789,779,749,316,841,061,124,296,
882,764,770,600,365,470,410,716,245,777,503,656,247,030,684,177,251,544,325,
847,843,260,817,806,239,907,056,175,281,546,665,513,729,653,909,994,737,219,
107,745,978,830,373,732,145,665,872,654,584,965,196,166,498,239,748,829,360,
742,381,450,863,897,039,229,215,907,269,261,690,241,104,365,332,136,498,935,
819,947,641,510,307,122,499,544,245,878,592,863,827,887,226,906,249,113,655,
099,610,061,084,389,716,140,184,620,834,587,743,104,630,998,985,907,977,138,
423,591,676,207,457,331,122,228,339,274,818,657,231,606,161,759,531,182,696,
320,734,645,299,182,685,308,083,522,434,557,078,936,034,991,180,880,551,072,
220,370,839,379,277,781,167,268,982,150,031,742,854,059,492,952,020,418,363,
555,850,711,078,702,625,427,436,499,640,795,167,077,677,890,909,060,960,866,
293,268,527,117,315,652,025,132,505,214,849,075,305,156,103,537,485,295,804,
245,453,578,015,556,338,183,852,578,004,872,718,985,458,136,877,004,130,363,
892,711,586,274,802,280,601,215,624,841,975,501,134,215,338,013,549,278,852,
082,815,054,128,735,782,855,579,942,074,833,299,084,535,748,251,807,164,726,
274,697,900,254,646,293,908,403,977,833,459,213,997,371,390,069,163,823,014,
733,704,156,778,928,986,925,854,847,241,004,937,793,004,743,076,467,931,946,
179,313,163,071,700,772,849,926,998,702,827,028,100,473,841,741,389,471,272,
713,985,203,637,149,279,189,092,971,283,817,111,046,309,362,539,877,068,650,
878,956,428,658,476,164,315,909,973,302,455,847,398,608,745,149,625,945,134,
670,619,943,906,594,237,617,006,942,171,190,132,131,946,649,027,076,847,202,
198,056,963,533,269,288,575,570,971,445,797,121,347,411,811,359,195,187,618,
340,056,885,344,171,258,532,375,243,028,317,707,149,021,024,608,862,922,675,
664,146,136,944,653,200,244,561,978,923,792,217,619,910,660,541,988,242,621,
359,497,598,264,111,662,137,131,499,400,643,786,140,438,214,329,897,851,535,
948,507,025,250,905,811,914,454,009,719,705,943,094,642,544,828,438,937,471,
056,309,451,850,378,651,272,267,940,904,897,047,013,672,394,889,780,183,493,
821,532,917,342,929,008,536,644,591,493,699,309,545,937,221,320,513,559,248,
543,768,686,056,677,155,357,955,259,871,216,871,159,029,718,461,813,563,938,
805,948,090,613,498,291,852,709,036,713,789,790,352,646,916,824,402,197,196,
900,066,563,227,952,211,150,569,519,350,684,870,565,398,833,012,722,997,203,
741,682,005,818,227,962,517,577,180,767,219,528,769,779,038,104,460,000,225,
832,798,345,030,918,984,077,130,036,995,819,615,655,408,720,624,662,871,269,
893,306,460,337,768,900,295,284,351,227,382,175,994,567,348,489,777,575,631,
336,524,955,602,768,806,228,243,662,781,183,855,703,324,819,746,095,105,884,
530,930,987,386,088,552,475,431,558,183,477,078,178,831,243,036,134,276,155,
073,500,748,864,808,969,542,818,375,306,638,925,913,145,999,313,435,581,837,
365,142,394,895,760,887,514,588,893,161,051,339,093,312,848,429,330,404,382,
898,892,776,702,917,663,845,846,196,125,162,935,957,321,003,479,959,994,214,
069,409,257,175,873,493,040,178,900,231,465,495,259,351,963,503,525,810,231,
657,940,480,011,779,861,155,602,106,915,118,736,851,356,176,639,621,689,128,
201,012,158,435,025,786,589,315,752,897,848,459,336,982,248,237,766,445,125,
740,484,557,191,043,024,421,399,086,337,593,040,387,931,869,549,591,208,343,
966,959,281,750,022,387,205,407,173,144,972,629,036,382,113,706,795,694,943,
806,095,247,881,436,523,917,116,553,414,281,518,987,477,460,712,587,416,907,
867,631,990,043,959,668,065,261,644,065,121,910,306,502,541,085,320,498,654,
399,155,979,973,140,848,528,682,207,814,253,529,610,559,580,422,751,024,368,
893,566,145,883,735,653,529,353,644,431,808,986,418,686,946,197,757,428,541,
130,961,514,349,465,095,815,771,316,255,672,938,625,167,549,410,774,221,875,
897,629,013,470,202,469,259,484,407,233,539,220,985,748,746,176,085,221,893,
623,864,646,028,874,950,900,490,034,257,149,886,151,655,570,310,008,424,666,
783,829,590,959,419,713,259,347,374,269,290,186,934,481,067,022,865,432,522,
826,601,795,295,470,250,146,518,477,401,852,198,214,288,243,005,030,664,706,
528,434,607,418,862,152,666,747,185,539,937,533,180,804,031,480,909,951,721,
123,582,660,656,880,567,936,092,079,401,136,803,201,187,414,760,481,131,701,
085,854,291,878,781,695,366,963,434,710,847,784,435,778,702,231,006,782,258,
903,100,702,602,557,492,801,917,015,771,210,701,488,962,744,332,385,309,178,
994,955,718,445,487,064,424,247,106,476,949,116,827,360,198,514,760,579,403,
132,555,130,143,786,179,157,980,207,756,259,508,910,865,462,604,191,325,619,
269,260,734,013,023,964,070,528,278,277,271,212,117,454,568,808,891,672,614,
729,026,242,955,163,955,803,121,863,536,220,085,102,255,244,159,547,034,117,
343,956,796,977,035,164,421,711,167,690,320,792,581,746,200,191,954,641,590,
959,925,084,983,839,057,494,659,306,586,793,488,862,463,517,721,754,050,467,
963,741,596,674,721,550,387,305,582,556,384,592,131,841,214,773,786,550,253,
738,113,141,124,614,336,174,472,040,460,057,605,367,660,704,782,278,628,102,
958,594,434,255,307,442,314,182,001,328,353,727,434,128,905,535,517,320,005,
915,723,109,025,859,318,674,029,789,123,210,151,774,386,927,616,136,178,767,
302,714,265,683,718,703,207,074,476,214,770,283,573,851,564,807,029,158,823,
257,920,912,532,462,565,853,016,794,797,990,254,111,401,046,288,651,143,799,
119,469,363,385,035,607,192,912,421,867,042,330,426,766,383,898,248,936,218,
263,085,919,067,541,400,512,705,730,159,818,375,293,827,759,959,386,940,802,
670,079,031,703,254,323,481,880,558,832,441,820,300,800,278,454,354,815,175,
534,171,373,467,614,569,299,605,690,836,959,625,326,587,599,730,398,344,590,
753,110,095,088,825,968,698,569,012,384,852,482,473,932,286,394,901,505,296,
881,543,666,438,234,632,513,601,434,356,367,854,946,565,236,908,210,978,828,
426,945,957,047,577,123,819,001,308,613,543,768,136,244,969,219,941,604,397,
634,719,171,043,469,538,936,581,443,065,912,237,420,651,974,970,398,884,515,
643,078,298,528,128,602,426,311,457,610,827,444,031,121,490,572,791,539,798,
366,173,089,609,845,838,988,244,118,830,473,725,534,661,981,427,278,939,227,
192,508,241,266,604,305,966,347,125,773,483,468,229,582,200,933,263,486,572,
511,648,367,702,557,230,322,671,148,878,020,185,896,209,465,512,237,540,680,
205,151,812,858,869,241,694,734,592,867,398,349,950,129,330,880,659,651,377,
600,267,117,759,603,204,680,496,340,646,190,113,957,846,811,603,557,439,616,
384,632,696,010,544,405,252,365,892,212,022,003,076,118,568,952,446,160,518,
013,218,164,323,149,329,850,736,967,274,910,969,007,953,370,619,329,643,245,
855,156,089,165,236,045,298,460,017,045,145,280,874,942,771,580,599,517,794,
348,458,520,359,652,971,046,072,896,845,566,340,182,936,336,917,843,179,029,
739,087,497,943,228,467,993,229,093,662,680,433,415,368,994,462,771,669,342,
928,716,270,393,532,511,627,927,055,270,995,856,423,891,869,123,324,755,518,
845,099,389,140,264,697,289,835,576,837,002,152,328,579,292,444,057,171,720,
894,881,174,530,849,900,800,459,152,801,883,510,256,770,091,484,997,108,566,
296,207,234,530,265,825,142,797,061,900,378,981,380,602,834,383,062,506,800,
902,038,801,568,349,258,570,993,051,615,983,466,354,665,250,404,367,734,652,
881,946,068,226,373,171,768,186,796,853,287,631,311,203,112,173,041,352,321,
766,864,765,356,949,551,156,658,335,248,427,605,860,970,045,179,362,597,982,
809,113,555,868,218,894,832,634,693,491,422,508,754,485,241,157,996,558,213,
815,977,530,531,586,279,230,419,016,037,348,746,923,059,696,451,380,603,154,
484,760,722,536,667,354,380,400,320,327,930,418,420,517,166,387,576,488,535,
297,500,919,592,323,155,023,185,367,179,867,160,439,580,956,536,307,061,219,
736,239,251,479,024,054,167,402,831,246,598,292,748,366,793,107,282,082,369,
222,872,318,955,970,099,879,329,217,355,654,752,290,206,863,318,640,289,124,
630,550,623,478,306,017,952,298,971,823,942,189,913,615,537,874,974,139,153,
303,290,117,037,798,977,452,518,037,654,378,888,384,834,350,639,565,450,307,
263,712,212,459,657,169,505,572,156,294,528,312,617,373,122,702,471,481,935,
953,178,053,951,799,301,358,184,997,228,318,842,965,753,274,359,295,163,086,
401,356,915,291,412,535,842,251,433,432,331,150,745,798,724,617,593,352,698,
734,043,187,077,792,579,329,332,636,471,604,865,609,682,388,741,670,694,457,
982,691,754,080,277,310,823,562,982,938,388,345,991,982,274,547,154,354,580,
091,101,490,319,999,201,268,692,684,515,181,694,920,543,923,627,511,231,120,
698,505,814,579,940,784,996,628,551,726,197,881,868,990,377,705,929,061,432,
974,879,316,139,048,481,664,408,384,685,946,279,906,520,419,775,999,512,035,
555,576,840,242,735,341,660,353,652,986,928,149,508,805,056,723,288,735,143,
324,500,667,152,850,656,929,145,544,482,847,695,099,965,220,104,103,943,936,
310,648,271,262,359,808,153,143,647,542,367,868,855,488,231,798,671,564,668,
953,293,229,253,248,563,174,074,132,633,111,724,534,230,729,121,530,671,622,
116,294,063,111,200,565,418,740,740,260,112,140,858,812,692,953,770,206,631,
530,973,700,229,524,126,351,789,887,080,561,596,419,731,877,737,670,070,502,
272,227,615,530,186,844,888,760,897,802,435,082,581,496,453,289,915,583,491,
304,722,562,256,751,547,571,548,746,014,342,750,882,266,735,518,827,929,186,
659,101,648,072,632,358,791,628,483,263,236,315,462,051,715,317,214,566,895,
537,101,733,627,438,252,622,459,072,958,430,958,073,514,406,610,754,382,734,
805,804,639,009,198,883,095,255,503,151,146,552,091,343,288,471,954,097,282,
324,378,411,904,845,967,808,179,107,025,848,635,235,344,182,889,805,206,700,
990,181,365,085,229,973,932,254,843,808,672,545,548,656,276,361,163,632,561,
773,842,546,377,551,060,897,288,507,382,013,637,869,934,071,649,421,248,300,
786,162,368,931,328,360,353,950,538,188,087,203,530,335,058,621,152,979,931,
161,485,799,239,331,635,067,273,419,366,815,685,622,852,211,464,925,761,184,
040,595,365,032,467,817,355,402,583,683,479,395,081,171,611,358,764,551,095,
733,978,113,758,061,832,788,132,757,693,490,486,756,337,888,170,982,419,046,
868,765,562,514,103,923,719,123,289,591,767,037,336,079,407,808,784,699,320,
471,301,652,779,923,393,266,079,521,793,274,515,424,104,782,902,418,456,972,
968,869,909,899,626,706,252,913,695,423,773,469,166,243,400,347,983,394,041,
332,256,987,968,093,195,889,211,489,613,037,043,174,974,265,018,635,144,451,
619,316,113,169,782,326,505,261,785,688,003,202,171,394,014,971,035,933,052,
172,576,644,117,282,315,574,548,525,621,288,006,345,332,661,682,752,419,621,
006,439,962,714,708,110,030,183,546,266,839,598,030,627,711,240,576,973,670,
734,289,181,054,556,600,642,188,763,883,356,820,318,321,482,745,718,398,744,
183,538,300,886,696,097,752,724,399,884,372,202,353,446,024,093,563,864,231,
102,878,233,008,048,371,138,623,583,988,800,194,985,309,687,138,981,038,567,
293,347,584,167,204,204,485,864,386,448,773,072,618,313,928,135,220,167,271,
990,278,032,645,619,193,358,694,845,146,343,100,604,400,283,740,271,306,716,
179,232,223,633,437,755,584,236,011,904,852,551,887,147,188,841,551,715,247,
648,159,275,541,285,159,895,389,613,944,908,446,609,905,916,357,659,989,229,
214,774,211,322,864,808,943,941,845,790,525,237,652,216,732,727,161,688,654,
546,664,289,104,612,383,496,428,639,104,318,152,184,009,237,219,881,732,328,
424,235,052,851,653,248,873,907,487,118,455,872,837,097,542,069,239,558,727,
855,103,988,697,111,441,583,737,194,868,293,054,009,536,743,564,805,056,111,
211,060,237,534,385,889,921,226,959,927,608,023,570,190,642,401,993,144,617,
511,852,979,066,791,936,416,040,635,539,149,630,360,238,587,396,947,890,082,
891,850,574,317,219,448,117,093,943,223,187,885,131,625,482,046,181,410,216,
100,693,049,842,563,197,413,895,601,688,488,283,199,642,612,170,467,949,966,
656,573,648,871,046,991,125,009,107,812,618,715,791,598,828,096,294,615,326,
977,081,459,827,796,891,038,238,452,810,391,041,259,087,470,144,506,784,560,
531,467,452,623,787,839,023,469,896,986,014,255,494,280,717,648,898,135,919,
932,501,467,702,722,426,066,863,230,627,152,621,867,125,225,937,940,725,558,
514,341,432,090,824,486,957,467,765,314,726,798,195,637,408,786,498,881,223,
921,317,155,850,151,170,730,089,312,332,322,453,748,853,737,585,905,851,828,
781,444,453,872,467,641,846,185,401,997,296,571,987,454,011,159,927,540,174,
267,764,286,999,439,629,823,052,652,428,431,375,313,775,526,401,358,302,675,
602,952,806,624,682,203,012,504,460,353,731,787,020,317,600,654,810,520,089,
775,386,158,330,383,081,693,184,441,214,382,272,465,472,916,173,431,873,815,
426,335,556,072,071,195,325,564,082,185,552,534,687,246,142,463,890,394,674,
421,706,747,163,760,136,123,244,921,252,417,120,656,021,664,953,977,292,329,
322,754,471,760,050,640,532,528,732,160,124,788,381,062,695,200,529,622,402,
770,182,940,926,705,074,472,555,619,003,562,972,097,912,557,984,196,714,025,
328,004,401,954,797,075,779,223,326,304,134,479,697,234,174,255,722,480,502,
826,112,090,057,433,702,028,729,696,186,215,199,917,256,442,190,660,544,464,
778,766,793,748,647,615,367,777,479,663,966,004,983,954,789,770,443,145,342,
497,165,985,416,208,574,947,401,101,616,930,098,206,932,694,615,240,076,448,
362,538,654,183,310,085,708,915,838,070,111,699,213,630,827,145,138,323,637,
819,316,392,646,851,422,175,390,617,849,607,007,916,072,869,554,658,857,934,
787,208,013,882,513,300,189,147,659,450,041,224,366,580,673,916,262,932,764,
961,164,797,627,590,441,972,374,697,385,749,641,431,825,697,555,880,682,190,
534,562,506,376,622,505,853,569,820,166,752,568,326,246,272,215,663,203,324,
541,491,460,856,693,193,296,333,329,382,340,214,307,754,757,966,025,126,436,
926,643,355,525,590,152,403,720,043,911,087,103,808,342,017,591,653,086,713,
281,172,703,075,200,241,060,361,769,301,722,623,370,928,049,938,719,743,153,
966,208,452,509,016,209,267,887,673,838,966,994,609,906,794,574,992,028,153,
075,327,330,098,770,885,529,174,232,833,444,448,728,282,128,359,493,407,516,
851,003,843,191,633,598,217,697,071,517,258,219,126,408,162,878,849,636,175,
516,291,348,029,748,640,192,595,027,044,559,570,482,175,045,123,568,304,907,
934,598,905,876,336,140,380,814,750,597,903,469,238,808,819,700,526,681,292,
319,430,408,357,033,862,043,245,794,746,537,867,589,220,689,227,563,168,789,
487,180,502,098,282,334,719,895,117,768,219,073,510,166,336,938,530,285,823,
671,803,610,434,711,468,142,993,015,904,693,792,231,738,024,717,001,202,318,
071,535,800,716,202,107,027,851,107,191,134,715,427,367,022,562,243,972,012,
572,307,619,926,123,941,638,039,970,992,505,779,699,948,833,340,726,398,169,
064,108,315,486,709,942,812,281,197,663,929,798,120,381,068,461,927,780,579,
601,782,482,121,942,396,815,545,183,858,434,560,295,471,957,866,428,215,351,
135,493,363,305,204,998,914,201,391,099,086,028,642,332,020,770,877,183,162,
105,614,455,537,853,291,658,531,116,280,484,373,764,612,535,144,620,907,206,
975,010,238,212,071,548,895,342,553,291,383,303,382,537,483,595,354,167,875,
296,619,800,326,496,590,121,647,260,066,359,606,761,070,706,318,316,515,816,
494,337,037,012,718,099,236,363,692,134,791,811,680,285,561,967,679,463,767,
248,118,337,665,735,009,112,004,064,781,155,039,787,478,746,110,928,322,344,
552,820,092,407,646,484,382,249,538,532,528,846,675,671,144,287,401,057,457,
619,189,525,632,209,343,832,177,404,408,169,407,646,663,392,902,841,776,644,
790,658,039,226,945,368,673,785,723,818,390,750,384,808,633,227,152,542,979,
847,135,291,666,099,308,786,756,430,995,426,530,856,378,989,641,465,958,100,
851,375,709,053,128,335,538,925,800,535,250,389,444,723,291,314,898,027,895,
896,360,303,120,054,023,574,316,555,446,874,765,887,590,777,424,869,088,454,
170,596,061,432,299,422,342,580,131,534,443,637,071,052,192,179,079,636,971,
440,086,858,915,946,659,088,583,831,521,480,286,027,283,099,907,743,534,865,
112,900,360,113,011,792,817,945,187,539,762,770,576,395,032,515,760,267,119,
208,120,023,653,634,471,191,492,451,219,316,186,336,415,481,358,512,057,516,
218,468,361,524,308,378,181,690,940,240,959,408,837,172,199,780,065,158,649,
603,886,609,313,813,513,011,461,557,917,720,080,229,801,729,924,220,001,310,
834,924,870,239,738,791,506,710,468,216,948,572,613,411,316,573,326,804,803,
956,520,559,032,147,312,816,194,186,038,636,519,261,747,561,402,116,672,869,
677,803,977,503,639,142,327,675,183,183,723,751,879,018,694,855,568,606,921,
817,441,883,422,589,350,834,145,128,257,962,029,678,755,120,366,426,023,803,
335,363,953,258,367,276,616,895,789,028,910,514,681,810,914,256,593,058,009,
668,411,675,376,234,962,549,348,336,259,961,703,650,642,342,118,666,163,069,
770,610,740,900,976,887,106,014,705,166,213,111,364,363,794,813,350,312,024,
536,821,326,717,168,794,521,241,740,362,883,106,771,799,182,570,590,483,173,
186,436,458,724,784,853,778,509,311,919,709,418,500,411,602,020,904,114,381,
825,854,314,656,579,896,489,215,011,492,945,262,410,220,447,276,044,514,186,
179,157,313,688,827,906,156,624,009,140,175,807,119,598,879,629,519,816,647,
274,291,169,197,294,844,078,669,494,041,768,082,141,365,455,045,388,102,847,
098,262,096,718,218,651,168,699,983,795,451,434,319,604,534,956,159,253,366,
233,393,699,431,815,924,806,256,897,304,882,004,922,557,051,370,137,118,481,
116,004,695,063,627,514,264,665,305,097,653,909,639,252,491,478,984,255,577,
157,765,243,615,542,953,449,451,947,967,837,785,556,356,871,884,753,711,911,
600,798,269,928,106,302,207,985,305,710,167,154,685,898,130,668,700,422,481,
446,521,418,373,756,822,194,911,926,945,306,273,880,903,699,974,332,353,486,
727,903,418,941,316,618,708,564,577,952,571,165,710,466,285,067,361,712,268,
853,037,640,856,733,151,819,656,548,307,934,186,542,924,470,299,298,184,666,
484,299,683,757,661,409,228,878,816,390,849,920,043,555,281,305,455,636,133,
837,087,530,298,711,401,285,792,424,216,836,852,713,831,098,458,756,502,768,
405,764,286,303,859,481,661,899,230,562,034,246,259,258,529,246,755,060,937,
872,009,512,548,036,684,342,809,093,167,492,464,662,588,812,705,260,740,433,
764,399,300,412,202,232,755,788,653,927,286,387,497,477,840,850,569,955,408,
676,417,444,217,978,628,115,600,184,236,919,807,482,581,056,372,087,804,965,
845,012,015,620,067,716,341,471,993,856,056,086,903,153,316,817,244,988,491,
716,815,901,928,458,858,872,872,224,968,143,209,763,701,320,722,057,073,350,
865,446,683,146,009,496,106,654,248,093,540,038,762,766,435,517,843,341,908,
449,783,858,833,444,320,398,304,960,502,793,180,950,454,747,414,582,046,044,
052,273,491,613,206,985,465,406,883,001,560,983,755,817,130,540,974,098,049,
776,562,209,090,200,141,562,177,582,862,787,812,729,417,515,753,291,395,449,
916,153,027,941,759,579,722,633,061,658,316,142,928,672,260,947,423,412,234,
086,264,399,472,313,997,575,295,846,390,532,647,577,711,309,159,175,308,324,
990,146,515,541,563,869,242,470,844,846,538,786,142,515,669,991,127,662,864,
393,170,411,887,176,671,075,661,133,822,817,084,323,956,832,460,756,635,660,
392,752,429,286,770,433,231,637,569,053,261,391,392,793,107,946,833,253,133,
306,781,153,096,683,197,625,442,399,248,780,948,507,929,945,255,530,356,344,
399,002,201,144,173,494,876,896,841,675,510,656,587,336,732,282,503,690,196,
462,592,255,713,599,867,296,582,007,023,410,137,715,688,437,758,153,022,995,
414,639,355,858,247,734,766,828,823,099,269,245,714,615,058,751,554,820,902,
052,855,419,501,285,512,856,980,992,798,310,039,090,723,883,868,418,889,155,
773,264,767,087,375,377,237,179,799,328,910,138,060,448,389,012,965,635,803,
311,875,760,418,987,009,444,651,802,251,387,073,289,495,954,303,000,428,258,
647,783,117,635,823,257,035,810,463,921,122,645,627,569,184,181,366,371,443,
581,756,187,756,601,520,555,325,587,123,206,436,830,026,463,483,677,569,941,
368,585,345,844,071,115,110,519,768,666,386,313,949,238,421,473,985,350,988,
609,503,070,223,170,832,632,093,661,057,809,098,763,369,818,243,021,453,329,
281,783,301,494,670,731,830,368,200,865,118,715,820,611,444,224,392,500,307,
694,045,278,254,490,045,266,762,840,229,763,550,936,517,111,365,807,602,723,
973,508,286,284,939,887,942,986,170,324,436,122,498,471,914,084,912,517,297,
288,010,528,864,395,699,608,126,981,487,677,256,460,373,798,244,142,985,083,
199,832,798,354,171,537,914,264,710,230,338,017,463,767,207,082,746,129,885,
092,363,890,860,587,686,691,148,017,461,159,997,364,782,901,213,790,189,997,
060,959,988,752,817,104,432,379,992,301,639,979,476,116,913,136,587,117,144,
015,376,883,978,619,055,437,827,998,124,508,131,471,970,203,427,160,829,744,
973,850,588,176,966,505,369,386,852,574,670,517,387,968,093,764,588,267,448,
164,292,081,356,582,795,199,705,465,986,161,344,179,494,259,739,100,299,736,
239,044,164,840,914,219,852,963,608,153,579,755,183,067,527,754,845,760,098,
147,690,095,689,803,544,589,266,287,182,015,102,449,106,454,188,765,486,695,
896,790,358,864,205,114,665,917,926,160,941,344,211,088,833,966,823,874,783,
935,579,853,010,422,488,277,643,298,847,197,790,484,995,411,704,231,226,066,
751,895,702,131,085,336,283,502,870,949,058,504,091,785,621,187,101,192,692,
805,146,772,396,241,756,970,149,215,940,665,038,115,575,108,640,631,016,132,
242,339,849,718,226,385,075,264,544,746,591,111,031,368,278,121,066,158,622,
580,035,748,074,297,376,982,656,307,006,618,092,022,473,303,234,340,474,950,
371,232,861,874,713,332,981,210,926,381,302,690,340,397,353,250,867,621,557,
003,832,778,286,845,380,529,900,193,038,830,515,252,608,483,556,067,144,016,
982,915,727,453,416,842,867,017,346,448,165,502,913,687,079,766,260,529,683,
297,763,885,370,739,775,645,766,150,979,036,546,919,026,904,336,616,621,404,
296,764,005,769,912,699,073,253,796,402,196,699,517,442,702,544,326,365,103,
354,617,663,363,200,916,742,864,738,890,025,165,400,020,762,343,559,847,150,
109,518,149,269,554,104,081,232,949,446,598,118,125,220,759,686,847,356,159,
135,547,200,721,761,940,781,769,740,783,940,932,390,276,706,535,028,830,963,
536,072,938,125,522,881,328,949,284,585,581,757,817,786,238,998,343,662,890,
119,940,660,471,074,355,119,164,880,418,861,989,903,424,378,996,710,179,875,
200,848,806,628,488,131,449,943,185,274,134,135,239,787,215,019,347,317,489,
783,604,544,045,273,482,314,889,727,411,464,276,946,313,948,026,092,698,525,
837,516,191,394,863,398,435,646,960,134,543,542,294,031,677,435,737,971,687,
154,430,420,911,931,350,452,823,351,794,357,076,541,651,559,234,248,538,851,
976,009,915,981,464,061,074,150,666,113,955,543,041,092,353,720,217,014,432,
318,297,233,674,173,515,289,758,388,557,926,308,340,661,898,107,563,421,769,
712,658,396,321,159,152,583,763,796,627,481,109,804,319,034,718,237,581,897,
545,573,603,721,156,736,080,770,979,045,000,700,669,388,801,602,493,135,871,
282,963,179,155,516,964,257,325,820,677,533,183,853,192,917,456,180,220,077,
402,201,520,116,369,149,001,146,594,970,117,632,564,278,177,516,579,308,793,
260,232,204,862,958,150,023,256,086,047,124,868,825,688,376,868,890,632,658,
802,812,256,492,178,675,628,859,211,089,026,258,546,132,006,246,781,336,526,
244,913,825,883,219,149,711,637,123,119,931,754,804,605,119,650,180,276,182,
426,441,360,532,204,189,631,259,145,666,081,404,288,346,697,677,324,141,860,
675,150,984,068,110,504,470,036,513,676,275,903,557,790,710,960,552,901,315,
201,515,509,959,700,399,205,141,201,792,152,151,886,083,470,759,702,427,587,
304,713,634,638,661,033,104,847,717,552,069,457,293,288,453,898,440,733,600,
922,312,995,017,880,091,735,116,381,019,793,971,886,170,781,248,436,829,934,
840,081,813,278,126,488,652,091,673,669,276,279,019,313,203,910,028,713,812,
442,912,233,748,120,625,879,645,332,835,001,282,689,590,217,693,555,675,617,
018,590,380,081,528,573,463,447,710,363,192,923,688,939,163,901,136,340,989,
194,386,371,990,961,161,489,715,916,862,272,079,656,760,438,334,703,065,537,
293,770,944,245,751,242,321,451,066,895,964,112,682,068,966,184,794,374,603,
659,804,157,453,280,188,809,228,568,146,853,295,318,133,257,044,520,983,924,
032,155,346,805,164,662,644,069,776,354,565,065,787,328,260,835,229,219,592,
301,031,820,236,406,096,176,091,007,319,287,110,785,375,790,695,337,724,050,
918,400,892,589,352,042,655,177,210,766,269,502,369,534,135,075,113,281,937,
142,544,056,615,540,011,387,874,606,649,805,886,456,216,362,222,985,093,418,
187,660,077,859,049,718,492,105,988,289,906,634,609,240,025,984,629,704,166,
500,221,482,634,807,622,237,711,283,142,826,406,313,989,780,853,491,214,705,
515,197,663,874,887,345,421,059,972,195,257,634,647,875,429,239,166,490,504,
244,355,821,831,134,419,583,735,657,025,342,300,605,424,029,360,909,904,879,
183,873,353,293,300,537,784,588,883,456,910,510,557,872,147,167,317,988,403,
929,869,919,564,440,883,775,264,093,139,867,422,783,565,340,046,468,688,588,
219,605,085,060,125,846,406,165,817,809,078,898,404,111,612,493,402,137,969,
519,806,873,815,142,276,071,357,797,133,253,704,049,289,566,562,398,474,153,
946,956,898,793,647,186,770,217,320,532,481,701,487,941,411,982,236,652,735,
041,992,114,865,668,449,626,355,330,758,336,837,541,735,501,426,333,942,193,
873,685,252,838,307,995,251,033,638,997,505,808,681,903,824,631,893,480,519,
107,273,581,128,652,875,204,209,147,357,598,957,178,694,824,586,844,177,060,
260,180,226,675,611,384,315,033,024,282,424,227,394,394,119,654,030,961,777,
720,051,381,231,569,667,541,537,237,494,869,243,649,037,932,414,918,029,906,
879,559,834,521,222,510,005,950,856,721,626,521,301,348,533,860,448,141,024,
031,112,118,645,640,009,990,155,993,283,677,589,719,358,050,482,639,899,167,
558,091,597,208,517,698,176,017,102,015,289,331,651,583,362,809,265,735,159,
901,472,451,697,583,578,552,514,564,937,264,374,594,440,633,654,322,112,441,
898,811,333,901,146,001,989,472,499,835,866,058,618,265,437,406,229,433,685,
188,572,265,506,485,578,726,847,557,324,109,467,811,994,701,420,243,813,320,
238,314,699,758,365,954,019,868,543,508,556,327,397,424,651,909,829,880,352,
421,774,347,603,474,304,891,292,475,730,263,097,329,929,661,998,652,977,737,
150,486,457,038,787,945,523,275,170,132,363,112,719,469,986,663,084,458,874,
860,725,076,302,424,025,787,910,888,181,955,416,707,547,855,035,704,136,430,
397,973,913,310,466,021,810,241,137,697,209,143,166,540,288,403,423,947,367,
117,145,451,597,421,567,152,811,340,448,370,804,208,325,736,799,828,998,105,
733,611,618,684,250,333,004,606,163,580,835,036,147,220,993,116,242,245,873,
141,871,498,370,979,136,172,694,201,172,665,057,278,076,686,342,502,397,605,
667,868,498,945,141,918,518,264,056,542,001,720,038,727,185,479,429,549,904,
762,912,909,800,275,115,156,598,044,511,368,797,917,335,915,071,461,247,290,
965,916,173,354,606,897,242,315,789,752,723,538,126,007,195,518,121,738,040,
546,855,401,160,940,175,676,940,616,497,403,984,065,160,752,095,743,047,420,
320,313,187,074,569,310,024,776,224,882,350,915,187,364,703,222,657,154,545,
860,490,969,982,306,757,119,335,484,403,742,312,013,512,664,142,491,470,288,
087,750,559,962,784,318,818,591,455,249,197,320,729,609,482,843,130,585,130,
832,342,638,888,082,265,548,135,775,224,534,580,474,242,238,774,564,531,337,
394,879,186,437,376,434,688,416,707,307,692,527,421,970,596,990,298,934,981,
163,610,550,272,447,570,616,703,293,579,996,806,019,062,322,177,640,960,808,
758,174,366,051,940,326,970,865,909,585,377,920,995,153,660,452,151,295,754,
182,681,338,348,756,080,817,069,272,803,980,358,166,124,392,207,528,419,481,
815,471,132,349,238,424,069,670,933,078,853,902,229,781,583,806,450,907,331,
817,570,667,174,992,832,023,005,727,733,706,073,495,130,094,177,834,633,561,
975,724,073,953,535,598,810,956,282,657,021,879,887,830,327,292,914,172,920,
534,744,666,207,581,716,537,552,836,858,853,651,067,074,135,368,528,085,657,
255,939,869,160,582,492,177,706,373,337,251,036,965,895,172,803,991,105,445,
942,651,737,860,448,293,518,626,865,686,979,561,791,125,653,554,463,549,305,
644,748,735,108,661,163,194,828,439,086,709,082,572,737,407,538,611,149,595,
361,504,180,549,646,240,864,204,136,474,441,013,548,202,316,337,835,391,006,
020,310,780,513,460,807,999,939,025,685,534,283,871,416,288,274,289,963,562,
942,838,597,277,506,046,606,580,345,886,776,083,917,423,270,006,310,616,144,
865,368,986,614,304,164,489,986,660,627,878,991,071,296,618,533,175,605,807,
846,282,978,821,476,593,974,292,891,947,657,075,251,802,974,643,992,755,591,
150,045,924,810,546,903,512,835,049,828,774,508,053,555,730,453,730,876,126,
418,424,192,821,075,434,586,929,810,247,180,587,931,580,821,784,485,557,408,
294,805,191,790,521,882,130,626,953,121,810,783,658,817,791,479,759,205,936,
650,760,851,382,308,854,663,049,299,412,392,326,258,016,763,350,607,641,255,
108,337,336,890,317,035,714,815,196,982,475,104,791,695,470,725,484,978,897,
579,032,564,773,456,520,036,255,555,594,392,617,670,778,007,487,173,839,897,
455,290,189,579,683,853,842,854,733,982,802,197,720,636,715,953,148,735,876,
357,339,220,012,820,434,177,512,398,860,365,296,619,742,856,946,788,343,334,
328,892,140,287,455,360,490,162,398,824,479,668,374,480,915,831,135,071,105,
276,680,886,057,636,991,132,369,325,914,110,614,270,395,221,236,634,105,558,
869,059,933,310,649,393,755,025,110,668,035,895,753,589,434,459,477,710,839,
650,901,190,258,118,326,027,929,602,427,669,581,623,081,006,472,384,795,324,
144,497,673,714,411,348,536,014,037,880,249,426,560,210,994,094,034,767,210,
293,401,187,698,169,146,233,916,558,247,963,966,357,907,397,307,268,274,531,
575,765,343,715,638,124,983,029,569,723,942,852,952,042,517,498,051,890,366,
551,793,415,495,790,136,946,407,498,866,110,559,311,491,545,317,863,970,193,
609,402,645,867,329,534,598,957,663,197,751,207,883,624,714,152,293,215,549,
006,592,724,927,597,769,771,863,675,797,137,286,134,297,893,876,302,535,163,
176,113,580,922,776,272,985,683,742,400,572,357,628,239,879,801,259,255,103,
528,793,963,646,917,833,067,908,213,841,388,005,584,920,541,469,522,678,743,
942,364,501,757,880,524,116,472,874,727,643,193,137,034,661,158,927,427,682,
170,807,356,428,233,712,509,057,907,240,741,113,953,877,545,461,458,484,006,
539,658,241,672,016,535,092,134,712,352,710,404,861,078,004,638,286,636,638,
341,886,151,781,565,593,120,624,347,302,883,201,662,324,666,393,105,385,489,
840,243,525,824,835,779,626,593,406,428,743,143,358,249,901,376,445,053,004,
031,782,203,868,937,169,015,309,439,604,659,730,652,261,449,003,436,744,238,
078,142,428,691,199,535,399,765,980,071,882,768,718,944,424,150,270,257,570,
487,019,984,341,447,429,567,482,151,434,323,139,344,485,145,985,001,142,641,
171,789,382,053,435,909,815,376,349,386,847,781,349,566,634,086,889,535,797,
466,042,557,159,857,650,050,360,653,644,637,977,949,780,101,944,972,935,149,
608,381,350,574,918,318,890,213,134,186,393,461,888,976,892,241,882,171,575,
880,230,884,990,285,224,055,823,461,971,666,230,512,959,163,460,092,970,611,
595,031,076,631,420,652,535,583,923,854,323,068,906,936,312,732,497,044,812,
926,067,041,978,975,612,542,251,664,661,864,145,266,593,588,035,222,147,833,
911,249,747,474,658,081,426,927,912,576,773,330,769,493,998,699,453,754,621,
948,617,011,150,765,063,712,345,926,958,799,808,065,904,764,741,875,350,180,
512,761,825,325,844,350,422,913,126,057,191,179,379,470,457,707,990,582,734,
627,564,629,877,477,338,112,471,354,017,980,156,809,120,527,911,197,727,858,
222,529,797,773,722,443,023,218,228,184,164,286,338,903,095,958,612,526,071,
795,382,749,002,440,402,212,325,644,857,222,175,434,814,012,249,308,207,580,
411,985,233,465,292,315,872,880,637,712,798,922,918,756,574,126,975,628,105,
699,112,758,065,826,911,277,776,304,673,889,185,058,262,939,877,155,718,719,
761,101,946,756,550,247,122,641,574,446,858,547,673,826,536,119,178,234,041,
923,452,775,121,054,861,581,101,173,749,147,842,264,664,192,257,655,279,340,
148,323,358,568,098,704,886,553,387,937,735,866,288,254,028,481,811,112,545,
528,396,194,502,978,867,273,620,872,280,232,589,259,474,510,991,128,717,079,
621,508,750,987,562,835,145,265,345,125,205,114,486,992,519,504,269,944,427,
534,356,758,048,674,798,476,500,853,594,207,971,496,049,762,604,166,169,447,
408,022,772,956,369,046,227,885,902,606,166,496,813,373,490,960,324,601,986,
344,600,162,400,796,698,662,013,537,083,455,249,302,380,890,538,780,626,568,
187,260,232,491,584,624,319,304,904,359,364,125,699,034,370,605,404,557,383,
198,208,633,172,761,971,328,273,485,437,351,385,018,263,287,065,385,092,528,
064,527,281,629,280,475,572,287,148,714,063,693,887,036,281,070,002,337,422,
862,745,137,771,919,955,070,373,551,141,022,649,745,233,479,194,759,309,093,
465,971,893,385,870,863,322,557,379,512,347,746,803,299,255,430,450,034,966,
324,177,653,602,244,278,964,383,822,672,818,397,062,002,802,112,337,213,771,
475,989,804,187,540,922,158,130,785,375,546,705,310,172,131,732,998,829,119,
401,973,349,001,706,373,662,204,628,594,414,208,683,468,847,055,489,079,610,
069,409,885,100,985,523,443,993,063,128,324,326,489,126,175,758,403,949,093,
196,238,086,016,309,337,458,291,495,546,005,268,515,325,394,944,760,053,175,
950,593,469,768,818,937,610,661,400,201,157,371,335,403,208,367,545,906,838,
457,463,981,044,546,516,481,004,795,459,846,836,632,388,047,292,264,557,055,
197,440,157,799,415,328,748,479,854,026,075,860,258,793,963,077,558,718,712,
715,352,615,172,717,546,072,786,833,006,134,988,028,512,241,954,984,584,438,
905,378,819,866,811,565,200,678,581,181,214,358,640,066,565,226,596,653,756,
118,961,341,531,880,411,430,958,216,203,798,174,475,717,232,109,149,198,960,
048,944,854,803,612,718,851,223,389,000,846,743,607,066,738,107,997,815,331,
596,365,545,604,749,406,494,553,676,352,341,303,804,068,107,807,076,168,333,
138,480,583,728,211,347,717,634,487,875,304,002,450,717,880,970,539,148,132,
839,394,023,943,389,495,105,420,688,646,261,362,259,168,371,871,363,766,088,
124,629,320,647,348,525,388,193,818,576,538,875,979,627,007,790,182,537,186,
989,130,814,254,013,660,006,455,217,160,298,041,060,526,233,022,312,656,127,
203,291,600,889,886,703,674,776,439,929,821,434,190,991,820,225,814,185,483,
699,159,476,697,720,826,252,917,615,326,563,956,892,455,485,195,612,497,929,
437,597,472,312,515,339,099,124,736,210,133,289,170,273,899,807,609,451,529,
696,776,328,119,770,503,356,606,249,671,004,978,031,192,997,761,391,463,962,
001,040,188,317,533,547,328,366,608,635,723,728,265,660,289,461,044,787,389,
311,257,510,387,483,312,950,723,296,278,945,860,873,885,133,281,167,041,682,
295,666,086,862,072,331,397,597,931,372,711,478,898,630,598,639,457,412,794,
323,431,648,066,629,490,015,426,326,565,283,205,045,718,626,662,487,905,094,
221,665,961,429,413,994,885,443,441,874,656,517,658,678,549,235,908,631,134,
813,458,304,898,545,090,491,150,902,872,584,068,756,894,837,763,823,521,840,
492,941,437,714,360,334,611,531,313,141,048,836,687,948,176,707,298,179,134,
224,960,670,206,408,979,623,520,369,069,745,425,519,634,756,849,724,616,169,
838,539,204,616,681,352,618,479,702,700,461,620,253,974,161,982,847,750,290,
747,630,271,668,758,701,363,572,152,981,953,119,012,215,373,988,537,812,963,
836,701,741,906,173,549,178,240,368,989,991,617,385,310,606,388,490,993,128,
967,401,758,439,199,916,395,967,359,920,717,130,910,762,628,183,108,201,575,
494,263,217,225,338,909,719,707,694,651,135,107,580,823,874,734,355,001,966,
174,966,922,833,292,114,101,534,032,086,086,566,374,274,288,642,504,350,360,
160,318,564,091,725,191,195,993,123,851,212,082,349,442,711,378,392,970,334,
729,871,671,797,491,955,305,684,556,138,067,925,294,885,791,609,680,873,479,
013,313,242,364,097,010,644,531,627,856,973,209,461,977,875,697,429,615,182,
018,210,352,298,654,078,411,317,978,730,297,396,139,961,026,722,181,698,676,
095,252,693,950,842,302,657,157,228,968,174,706,620,034,661,991,672,347,700,
814,628,561,123,464,810,365,418,556,320,549,401,992,235,092,927,541,098,630,
926,649,851,797,345,729,664,862,440,362,892,739,169,896,384,690,608,595,968,
196,531,358,435,023,212,339,244,049,130,575,356,130,293,179,670,014,464,697,
829,332,987,951,819,194,896,416,056,774,137,384,270,109,737,596,453,039,153,
436,561,370,052,476,884,903,513,468,166,634,012,668,429,209,739,847,039,253,
874,766,769,915,107,785,554,207,639,717,468,954,928,015,744,307,888,907,262,
779,410,253,358,209,083,468,614,413,810,033,594,737,308,296,590,650,572,177,
008,695,416,276,481,345,806,275,581,934,733,492,467,964,629,211,165,826,891,
911,864,303,215,425,919,418,660,367,611,527,665,423,369,897,262,469,070,229,
397,508,495,257,933,674,839,790,409,708,456,914,224,251,276,885,033,529,022,
588,499,327,733,163,326,729,326,115,114,659,279,568,215,414,868,697,779,042,
233,939,086,956,982,731,940,764,774,264,109,009,728,994,645,836,254,320,889,
510,273,230,519,646,632,814,310,998,298,045,705,165,930,709,097,602,701,424,
578,507,054,389,925,570,584,745,052,250,923,501,841,708,104,833,321,650,243,
675,693,337,673,289,229,517,202,218,205,894,447,943,490,176,807,232,767,522,
151,547,738,362,398,448,349,445,631,939,192,324,266,653,759,343,164,599,720,
317,081,267,765,552,458,867,534,356,504,928,342,644,217,097,939,829,677,329,
412,440,659,977,753,077,519,580,605,451,755,267,651,358,983,623,113,396,997,
114,362,321,819,775,549,748,222,167,606,888,643,279,964,173,916,762,551,975,
573,076,615,829,254,875,901,053,714,084,782,665,173,915,661,978,515,962,099,
585,837,930,497,577,814,359,703,538,934,641,691,759,954,840,702,944,589,934,
306,637,268,588,124,028,489,474,361,365,700,056,637,358,109,206,558,100,582,
718,772,426,359,394,011,241,897,582,736,438,553,732,819,124,846,089,699,739,
504,098,492,883,850,169,131,341,370,053,420,691,183,112,664,564,679,201,365,
394,906,500,244,801,365,536,800,471,171,696,853,210,936,610,586,519,462,569,
862,547,227,096,396,816,554,709,815,631,045,078,272,752,390,014,824,014,782,
884,296,963,176,214,906,953,398,840,616,768,294,502,321,725,184,403,021,005,
514,528,629,486,537,261,921,909,201,474,848,119,447,523,193,282,533,360,028,
427,603,482,954,790,336,068,957,138,607,610,564,516,228,752,408,177,534,418,
484,302,826,368,517,220,907,360,565,264,570,381,862,647,340,242,592,634,837,
555,864,783,114,566,560,241,738,981,626,505,521,796,668,183,654,437,451,012,
628,248,018,749,849,487,738,495,193,857,213,434,066,034,884,581,033,280,649,
999,156,078,786,313,193,998,156,204,074,482,677,447,782,698,769,624,832,047,
745,647,161,552,128,757,839,470,250,672,078,318,649,727,388,290,534,560,853,
432,478,258,776,306,476,981,497,258,137,132,610,574,535,143,033,576,531,752,
590,272,079,636,302,384,426,099,367,031,613,241,487,660,197,758,991,254,174,
057,039,204,418,301,248,661,879,349,095,247,512,492,294,397,702,101,522,700,
209,977,504,232,025,345,148,059,822,623,138,742,383,602,612,710,251,993,725,
811,846,953,549,544,827,144,622,944,998,661,760,440,324,922,808,219,756,820,
737,994,735,557,278,886,483,174,968,784,387,232,994,279,585,306,223,431,044,
234,054,944,198,455,293,179,172,603,439,699,433,800,362,337,784,065,658,535,
732,503,097,804,218,256,490,850,111,731,779,473,608,868,504,366,271,013,236,
720,242,890,815,902,370,335,232,079,115,940,201,899,806,040,899,310,601,183,
237,185,927,356,646,622,573,352,421,061,181,484,718,354,896,059,171,281,009,
159,396,038,408,466,722,251,702,608,708,821,953,703,615,731,639,812,565,166,
728,925,554,794,536,861,849,723,659,324,829,205,948,065,950,542,209,440,531,
307,066,542,001,191,969,979,570,360,082,412,471,644,365,754,918,883,652,878,
073,470,778,326,997,844,783,758,509,625,331,837,113,800,351,803,863,570,778,
673,548,592,201,067,158,967,688,245,075,064,828,810,245,377,755,202,198,159,
063,100,138,418,610,099,549,319,179,091,156,186,376,824,090,690,571,724,891,
932,642,882,471,642,293,861,719,913,285,452,925,157,826,725,980,203,748,768,
525,328,197,487,841,087,105,747,150,439,964,407,790,145,473,515,109,973,373,
745,322,958,385,463,774,072,207,830,280,817,774,604,826,778,868,263,593,042,
379,637,281,670,959,416,742,255,819,485,612,399,624,497,976,391,081,138,074,
931,547,762,273,584,993,840,395,214,862,344,691,782,850,600,271,208,696,748,
362,026,513,233,498,281,287,299,471,565,065,100,915,141,176,786,093,306,405,
132,162,796,898,534,882,593,902,831,369,572,335,223,600,763,020,215,508,271,
791,731,457,121,935,375,303,940,623,516,888,443,576,954,058,572,583,446,871,
292,279,190,432,563,392,724,990,041,165,246,135,935,592,942,230,506,080,105,
712,476,567,369,385,459,101,322,485,535,736,286,591,538,786,349,375,713,696,
969,787,620,123,516,974,397,640,506,781,509,147,730,518,409,476,568,939,721,
648,960,676,861,284,508,753,800,071,083,937,553,104,853,760,484,053,244,075,
483,813,815,352,201,737,683,585,797,500,507,986,501,811,400,618,175,467,218,
517,420,203,639,936,793,423,859,100,906,144,028,149,030,182,815,923,947,127,
486,550,178,581,497,284,427,258,537,478,888,460,787,850,690,647,502,131,558,
287,933,081,180,031,655,937,055,803,729,997,217,581,216,223,662,259,544,109,
466,528,860,338,235,160,174,099,706,886,720,501,795,180,082,504,710,750,398,
731,131,355,978,854,353,313,532,045,507,610,799,364,666,980,627,964,554,011,
926,813,529,250,327,922,751,808,614,396,524,454,092,900,179,303,530,819,549,
389,970,621,262,632,619,974,233,459,014,085,933,191,795,624,837,894,046,100,
604,146,879,526,936,996,114,707,035,272,756,361,660,793,454,746,521,011,653,
831,757,342,319,976,332,866,153,484,176,484,877,983,253,578,377,247,473,024,
701,660,027,505,716,943,637,201,618,931,713,484,427,233,743,159,658,517,169,
232,115,220,175,317,443,325,824,374,888,955,156,435,849,979,108,271,356,219,
997,993,775,985,647,080,063,083,846,496,083,272,299,296,792,502,212,535,896,
138,403,209,496,393,258,679,046,324,136,342,664,060,538,922,191,481,023,457,
431,324,983,975,171,014,118,597,562,176,907,440,272,460,827,960,611,064,813,
798,561,168,460,119,530,928,282,902,837,240,271,195,706,357,641,125,497,099,
348,450,296,989,254,985,882,111,378,199,139,704,009,035,115,474,166,354,602,
331,274,014,216,877,655,161,426,515,473,697,759,424,477,774,495,957,238,995,
550,050,764,695,074,816,138,838,198,857,904,931,760,350,409,285,854,058,778,
867,136,510,886,416,340,295,420,136,192,541,555,136,478,358,035,708,258,120,
833,482,537,199,706,019,084,669,208,728,893,485,672,249,916,564,404,698,436,
404,921,629,048,839,932,746,734,485,394,780,575,138,759,349,971,393,814,369,
488,536,044,302,293,518,401,956,412,998,932,425,964,094,024,242,265,302,426,
001,984,857,759,192,377,866,746,380,879,651,103,334,145,684,160,455,961,906,
664,943,046,354,812,289,128,576,788,230,169,445,311,903,513,107,469,647,877,
691,759,107,896,480,344,495,949,753,055,200,570,050,139,897,582,101,884,829,
368,757,169,233,631,000,558,176,673,685,099,196,797,186,809,187,577,450,032,
805,433,245,511,000,313,176,699,897,379,358,353,691,203,157,263,393,056,000,
562,969,777,463,837,622,053,577,279,217,660,026,315,821,792,959,899,830,450,
675,834,429,293,829,274,412,806,374,097,035,480,212,548,157,827,384,876,244,
527,177,724,938,871,831,715,259,589,181,605,786,620,416,415,851,956,344,709,
243,293,660,835,962,923,359,706,646,644,976,716,095,520,986,020,611,143,872,
881,109,775,619,415,912,330,286,985,993,647,530,632,939,742,805,716,609,615,
661,393,617,142,358,382,655,402,719,574,308,374,830,799,298,073,148,661,560,
523,664,631,500,569,258,323,571,746,026,333,628,386,762,043,085,423,015,210,
024,689,104,662,211,214,242,365,348,996,888,256,148,384,793,212,534,205,917,
728,505,455,893,957,944,092,695,652,212,121,368,602,972,252,525,277,876,686,
342,490,837,951,242,029,284,196,124,023,507,379,560,731,786,078,167,753,898,
817,739,618,876,401,690,619,925,995,284,249,914,275,505,946,228,833,108,369,
390,748,987,857,542,836,925,138,831,244,026,359,784,799,130,794,777,792,998,
246,206,483,007,978,876,083,092,262,993,908,188,806,171,829,708,752,262,543,
662,919,996,575,399,299,909,322,081,889,133,835,573,137,181,424,731,599,968,
860,481,965,238,664,963,257,745,032,919,604,598,825,408,114,184,960,597,298,
956,760,027,788,503,433,343,904,885,563,256,353,423,722,053,837,949,743,647,
609,594,011,698,007,491,760,764,650,688,213,294,734,093,099,330,080,327,680,
338,686,612,572,488,010,296,732,309,677,085,263,540,996,947,619,113,600,720,
050,646,740,579,791,103,394,401,961,500,654,878,547,230,378,775,144,466,884,
781,819,856,838,896,303,368,744,333,871,821,259,444,285,523,203,620,815,021,
906,926,446,134,008,713,483,558,987,164,242,723,830,286,101,463,499,004,028,
231,816,745,526,074,763,228,666,321,147,516,230,554,287,122,757,763,016,736,
363,547,429,858,283,556,620,873,024,169,491,544,521,243,577,149,553,958,552,
611,210,479,460,054,532,572,195,069,264,538,697,674,959,349,074,927,692,161,
208,320,535,175,290,330,286,580,797,576,306,795,392,999,521,774,772,738,836,
067,646,261,926,134,299,000,354,077,922,913,405,457,934,228,571,189,264,546,
342,311,614,769,650,941,559,760,924,044,745,979,688,623,578,647,460,228,532,
703,991,881,146,042,231,668,599,285,736,468,041,541,867,186,857,223,988,444,
640,539,145,135,129,314,731,907,786,532,772,186,372,945,921,541,194,569,514,
224,644,296,438,195,482,340,996,605,088,268,584,784,487,884,985,492,366,292,
990,597,336,671,685,726,108,197,986,633,413,673,229,018,123,885,390,125,511,
184,286,476,941,283,343,469,530,604,869,869,282,978,339,548,824,313,454,334,
423,946,050,848,325,148,064,999,410,592,269,497,624,087,983,030,452,549,185,
397,034,004,347,047,649,751,681,431,495,229,877,604,097,772,868,468,099,786,
845,595,642,428,164,079,435,433,496,742,264,095,459,101,764,570,414,058,676,
315,750,451,608,865,037,187,385,180,101,464,232,568,453,950,270,969,771,857,
474,025,949,624,735,786,355,123,561,460,671,743,010,423,510,191,009,694,624,
560,698,963,431,118,337,817,160,872,029,985,092,373,186,588,189,950,134,968,
549,934,041,367,231,707,274,368,746,345,776,557,886,921,065,955,869,398,103,
767,219,682,370,232,007,546,278,301,337,869,650,725,821,064,336,487,535,128,
499,295,830,298,286,051,083,597,082,637,736,957,080,304,286,534,212,874,749,
659,592,453,156,365,196,816,806,102,580,419,703,425,296,083,544,901,731,257,
709,161,088,957,176,361,849,108,553,859,480,089,098,154,285,738,140,010,252,
094,283,995,159,892,775,151,166,669,320,611,389,772,046,750,154,546,157,150,
940,578,486,195,168,067,271,104,524,957,228,605,335,598,090,342,443,870,438,
316,067,728,583,261,461,682,144,196,956,446,910,358,470,634,726,331,855,078,
584,324,301,853,825,794,401,387,809,042,990,857,707,586,038,583,314,801,521,
516,913,809,920,157,065,848,369,790,878,629,540,449,892,928,294,965,737,747,
985,822,330,486,020,606,884,526,350,462,334,469,302,399,296,650,580,271,081,
440,937,496,723,422,073,412,750,723,979,307,399,046,217,130,853,273,768,517,
195,885,635,894,189,968,162,232,242,195,556,196,235,810,106,716,347,833,912,
880,461,169,272,740,143,513,273,207,614,023,771,313,223,621,032,168,014,334,
969,673,752,400,795,112,747,765,356,783,057,585,014,086,845,044,276,856,976,
625,905,432,874,024,780,062,436,676,208,535,695,793,278,658,148,793,006,646,
424,250,555,114,483,600,510,117,208,573,055,637,543,143,280,951,419,690,552,
896,840,104,714,133,728,845,920,159,716,968,892,031,876,104,198,736,685,343,
473,272,253,676,657,303,812,817,846,713,097,336,868,685,264,372,530,351,439,
935,355,469,995,759,524,970,537,605,127,530,324,943,062,998,141,920,490,682,
265,855,808,008,526,833,141,830,631,459,582,286,341,551,231,439,337,864,508,
495,413,015,034,615,374,964,800,513,774,286,477,501,537,135,798,882,592,059,
581,611,176,897,824,465,243,676,477,935,692,137,415,679,676,631,942,187,162,
643,951,938,039,438,565,470,387,763,008,413,864,760,845,712,239,201,926,114,
799,737,054,005,466,437,590,116,523,549,006,208,617,240,642,524,495,935,345,
737,569,552,658,135,311,209,045,225,625,994,699,805,733,832,915,524,474,070,
319,652,479,141,120,045,326,506,314,096,864,452,218,435,443,508,578,344,981,
196,162,569,148,495,505,562,293,512,097,032,629,943,753,904,137,632,743,265,
509,911,468,265,603,080,737,243,566,557,124,592,879,591,327,718,431,199,471,
736,854,482,865,887,763,830,949,542,646,801,613,166,440,349,635,693,847,546,
719,292,147,596,968,910,785,584,125,001,027,430,327,411,633,340,016,244,202,
825,090,485,810,271,994,918,270,704,956,584,121,653,278,469,213,128,216,836,
500,256,994,778,465,607,123,357,793,901,983,402,676,698,386,349,093,907,950,
753,789,614,205,683,072,502,371,301,888,241,900,315,666,172,815,683,872,160,
076,141,801,730,884,583,418,365,128,798,957,428,894,159,924,257,733,721,738,
541,084,719,280,340,463,078,587,479,681,568,576,279,942,403,993,629,888,313,
310,643,056,974,858,440,649,193,186,622,236,095,485,563,021,425,314,268,964,
386,353,382,893,148,045,762,854,961,407,402,508,778,356,880,227,548,643,250,
514,068,709,080,236,615,974,595,653,770,534,317,204,396,096,436,239,793,802,
531,386,994,928,895,798,565,455,383,476,045,430,945,372,255,927,367,292,752,
052,831,737,720,561,839,089,321,501,734,961,688,165,296,635,252,285,511,438,
187,906,069,911,052,166,436,465,419,195,990,122,863,259,653,308,031,109,692,
201,265,662,711,956,565,530,349,167,604,208,423,444,898,769,332,692,712,901,
162,368,359,749,626,956,613,739,883,475,104,156,572,697,295,827,832,250,528,
895,916,004,235,043,934,695,554,703,131,170,060,521,201,621,305,497,666,014,
258,943,002,670,603,781,279,280,738,672,019,970,039,265,377,145,872,649,333,
219,481,526,044,705,055,020,570,869,678,656,457,579,065,601,748,798,088,855,
193,655,083,033,828,701,882,952,392,299,320,179,420,367,370,600,721,596,867,
369,939,782,406,037,804,462,371,129,514,328,133,982,228,738,152,965,238,425,
053,326,549,294,686,887,154,693,526,307,647,379,177,009,280,198,850,908,033,
741,967,575,410,664,703,063,166,681,719,231,362,401,486,157,317,226,339,034,
724,025,054,244,038,632,755,395,076,803,271,010,895,429,449,460,795,833,265,
288,465,824,378,319,571,700,899,013,268,644,823,851,012,706,098,707,776,585,
193,468,040,500,829,195,056,872,808,493,973,102,891,075,327,203,124,097,950,
197,178,710,855,759,520,551,277,269,882,223,522,031,932,764,925,411,644,962,
102,128,727,766,936,160,864,079,405,698,011,220,536,071,526,329,802,530,878,
041,848,919,225,041,290,075,055,798,700,761,768,627,182,206,155,815,205,319,
712,279,912,532,444,332,203,052,863,976,710,643,740,193,847,305,312,833,216,
228,285,196,969,781,771,438,949,152,905,385,918,743,912,297,588,194,545,433,
253,465,045,563,188,596,619,070,430,447,294,177,268,062,345,115,404,744,320,
699,066,829,376,767,737,745,041,597,252,183,847,437,350,909,394,060,118,399,
576,873,803,400,479,909,059,058,209,958,916,291,068,111,080,768,319,673,989,
170,383,707,518,634,690,101,125,692,746,877,054,923,087,902,596,192,288,781,
280,457,871,536,221,337,974,839,585,739,915,330,461,668,588,114,178,072,304,
001,849,956,777,232,129,964,699,870,342,074,441,796,400,157,659,112,426,488,
180,051,442,292,108,499,024,611,953,472,831,362,530,685,827,857,138,648,717,
463,141,119,229,539,021,927,565,933,243,277,168,807,065,993,155,006,021,763,
295,135,134,870,379,886,274,784,769,735,183,042,472,564,165,853,599,517,383,
050,385,725,068,667,692,780,248,969,988,143,910,114,518,875,025,103,949,537,
346,953,032,630,318,227,587,464,279,540,951,570,187,453,069,477,601,999,140,
232,585,689,773,584,940,415,013,779,729,085,265,231,708,526,532,316,310,731,
065,393,480,553,799,418,060,267,702,509,996,232,002,252,670,915,470,462,179,
419,862,190,628,606,516,381,747,171,212,490,515,513,449,762,053,902,403,928,
131,837,373,971,704,056,683,784,612,410,818,136,179,951,244,954,364,969,794,
765,360,748,349,842,815,137,955,234,312,482,364,265,933,113,990,829,454,098,
558,533,714,507,478,490,955,753,489,045,161,391,439,593,596,035,675,689,272,
993,088,333,488,575,195,370,853,040,423,165,782,619,029,867,276,757,617,887,
609,323,184,547,477,791,954,886,210,604,206,192,149,409,100,871,828,363,620,
773,536,739,572,539,745,267,329,816,886,310,933,351,223,414,525,698,359,183,
082,947,991,403,927,853,086,925,690,649,347,697,773,539,314,583,738,654,257,
373,957,811,635,166,599,328,666,214,895,190,957,993,082,657,582,986,181,618,
099,397,741,610,393,823,392,710,226,200,731,504,360,424,914,748,694,011,138,
768,607,956,190,514,319,216,952,738,941,814,677,943,799,039,806,834,177,474,
226,415,177,146,682,296,309,473,014,920,808,208,738,280,319,930,305,311,919,
345,048,235,396,933,928,123,301,935,489,412,130,755,956,544,787,822,911,088,
400,550,177,454,166,383,680,796,735,859,525,024,288,940,676,120,719,527,815,
287,313,851,586,048,994,934,129,493,740,974,140,305,742,250,091,071,188,868,
313,052,872,840,141,002,017,995,018,281,863,183,979,282,065,174,263,584,573,
434,053,979,972,640,289,632,064,678,736,766,376,919,716,198,827,084,274,868,
904,520,404,647,886,258,211,689,309,474,440,295,523,997,762,140,390,244,796,
467,449,177,128,388,173,338,981,563,013,503,117,199,999,256,297,609,163,394,
606,121,509,074,459,111,940,396,619,810,441,337,289,106,804,572,493,826,715,
437,769,151,960,791,990,408,405,546,190,865,965,300,496,738,657,864,585,131,
664,548,732,402,353,629,418,122,135,006,476,245,148,336,621,514,102,204,710,
922,900,712,608,100,916,757,387,950,004,130,180,848,904,392,521,597,799,500,
595,266,272,120,818,953,228,490,798,674,417,510,888,812,978,320,133,196,323,
092,920,041,256,450,418,785,577,198,096,003,922,613,272,081,009,245,541,272,
403,142,265,120,196,635,701,110,708,234,772,230,442,890,755,352,880,050,381,
644,350,329,993,342,706,903,785,385,979,773,098,313,487,634,556,491,965,672,
556,692,752,268,663,543,617,805,808,757,860,749,266,525,671,942,359,619,095,
446,001,590,239,585,779,532,567,585,745,964,565,890,248,779,858,601,568,639,
557,558,659,194,037,698,579,062,260,294,136,999,802,700,811,816,987,940,233,
580,043,060,626,996,293,757,654,831,214,914,023,789,671,168,217,999,802,611,
225,275,163,332,111,539,686,741,235,930,384,452,496,100,981,452,963,827,409,
716,131,397,406,750,894,852,358,047,604,820,746,865,033,707,938,760,257,953,
760,173,029,318,515,017,578,990,419,978,419,793,125,109,404,323,946,557,454,
648,485,112,524,215,208,222,107,167,410,160,796,643,051,937,067,703,501,670,
787,784,105,952,660,044,441,046,509,915,009,582,491,560,238,421,890,524,314,
729,051,972,880,600,019,269,590,422,684,056,437,802,522,608,481,063,927,537,
083,169,170,345,751,464,494,402,172,420,320,715,977,599,954,857,402,522,476,
221,291,427,690,847,089,385,908,669,875,028,141,537,511,254,567,011,539,124,
680,651,309,657,634,984,760,254,489,021,731,030,398,800,643,932,326,606,350,
574,441,521,498,024,696,700,214,954,528,542,272,985,895,015,916,804,378,609,
686,883,633,397,695,807,424,285,135,476,591,374,306,094,726,171,616,464,063,
792,431,549,157,037,948,320,060,042,850,513,864,832,972,872,193,394,756,887,
836,335,080,358,225,657,659,529,529,829,377,299,830,563,106,710,316,737,530,
240,112,831,236,833,270,310,660,915,623,343,401,418,025,908,025,974,355,481,
976,205,698,279,950,501,779,307,925,383,824,022,146,025,653,075,849,892,862,
332,976,499,393,587,029,477,000,461,872,279,769,899,986,919,018,437,635,622,
730,283,191,735,531,653,315,129,682,208,735,046,974,565,708,504,953,529,928,
942,599,195,680,952,001,922,601,071,572,864,233,582,988,402,992,700,420,162,
983,397,979,040,765,292,060,587,596,607,648,611,676,243,330,801,145,355,914,
650,521,139,923,383,947,637,501,452,922,728,130,026,720,419,877,446,021,537,
470,407,919,777,108,797,608,583,014,083,065,587,403,645,789,311,878,879,824,
287,959,451,450,798,249,768,646,336,155,457,707,499,526,223,016,096,404,248,
592,946,079,956,022,037,915,397,123,895,642,137,880,485,789,286,745,943,485,
096,896,815,607,153,367,947,684,293,255,851,798,983,587,473,611,884,982,935,
970,394,278,878,333,265,504,720,288,384,715,613,192,219,299,891,628,527,697,
009,461,719,753,742,062,871,673,866,138,815,382,192,895,292,108,916,418,739,
661,696,973,827,207,745,124,838,952,435,890,192,766,253,247,988,205,281,281,
825,837,605,386,255,757,495,440,619,359,038,516,028,434,582,627,946,600,896,
881,074,398,061,596,402,522,951,897,448,858,602,423,938,174,539,369,828,614,
767,356,775,086,583,178,622,804,506,111,747,002,289,167,889,899,675,411,941,
800,610,588,008,599,008,449,472,760,264,604,080,910,611,707,175,136,799,685,
996,597,933,163,005,135,340,271,559,652,420,262,287,849,101,364,069,767,953,
255,011,302,993,627,579,754,169,751,273,863,836,674,186,737,338,575,353,825,
687,521,414,594,607,518,920,872,177,504,404,796,762,000,205,190,948,104,128,
802,139,272,249,160,167,275,109,036,514,060,866,234,882,709,180,550,338,663,
597,371,199,104,795,826,018,376,645,983,810,339,022,043,206,284,719,209,376,
381,739,913,982,809,343,228,760,501,692,966,469,460,256,608,673,044,278,235,
841,749,396,745,973,621,925,693,367,188,169,844,295,197,141,514,713,694,074,
248,840,404,881,790,206,255,625,666,086,702,966,132,640,265,026,917,408,768,
046,735,166,609,763,194,885,679,679,729,959,635,921,369,380,866,908,401,695,
568,168,593,255,847,344,118,720,019,109,831,553,539,984,146,124,688,831,282,
447,179,305,752,845,458,274,476,876,814,638,794,015,999,499,568,787,064,850,
072,911,141,179,746,556,465,613,714,563,942,608,344,121,843,688,547,460,680,
768,422,720,674,029,244,427,919,544,154,309,688,583,466,454,964,566,780,001,
374,877,131,709,564,919,148,246,845,399,722,873,973,227,203,895,476,828,528,
091,640,344,200,174,849,479,508,730,752,102,539,011,040,840,938,648,923,685,
411,082,431,284,242,611,888,615,878,407,776,272,332,213,308,893,209,512,991,
803,605,509,990,076,925,623,302,792,015,165,310,264,573,147,078,416,097,336,
137,744,567,428,864,659,546,406,899,570,551,458,786,617,870,098,795,010,603,
894,908,397,033,731,049,082,951,179,665,675,444,439,230,093,167,374,160,458,
683,142,488,905,443,037,999,264,056,319,587,147,489,774,189,558,542,790,828,
338,657,781,020,086,242,810,976,284,009,949,834,949,443,690,556,070,387,392,
020,473,451,525,377,937,777,425,667,602,922,889,821,853,093,727,634,618,342,
420,489,963,890,599,413,135,534,930,725,713,884,280,520,545,672,019,878,506,
830,617,705,420,392,486,266,802,230,819,478,551,511,626,063,910,925,751,268,
782,710,976,200,207,864,470,209,018,167,406,092,310,543,318,557,492,534,663,
162,173,715,569,161,140,293,892,891,680,779,071,309,249,187,529,686,059,268,
610,421,207,061,245,859,678,253,944,524,234,488,512,490,831,370,664,008,058,
063,848,481,276,125,924,334,663,475,949,465,523,431,908,093,214,397,442,057,
460,828,325,211,937,367,512,438,753,462,701,624,888,988,910,458,687,264,990,
224,021,547,755,198,731,066,573,419,529,544,219,336,813,053,251,581,683,400,
748,976,232,307,978,333,401,566,723,133,291,480,571,334,027,735,233,154,475,
693,190,205,337,589,611,615,289,080,683,423,657,190,376,694,914,700,104,000,
738,644,200,154,293,287,054,065,681,983,707,910,030,208,089,037,767,978,155,
060,847,683,373,234,012,279,732,752,566,827,644,249,614,051,959,014,464,098,
115,607,436,645,443,018,077,095,557,493,148,991,604,176,966,485,878,095,511,
837,405,931,403,788,174,655,107,067,519,181,576,196,865,197,707,527,230,044,
173,557,927,962,175,847,420,400,143,302,890,897,193,719,254,780,407,773,035,
876,199,294,543,193,916,988,607,643,289,681,735,964,967,191,032,996,591,563,
785,714,697,227,986,674,523,646,948,802,622,688,160,418,709,439,335,986,651,
256,639,227,673,189,463,666,938,722,472,607,336,105,588,210,120,985,055,083,
132,039,635,186,978,491,696,172,695,938,936,184,908,124,108,435,195,175,624,
286,802,056,875,778,057,054,809,643,050,749,053,630,561,353,774,130,359,148,
095,772,030,630,325,967,632,858,772,645,723,914,051,935,710,612,941,350,694,
854,140,037,753,836,657,064,692,412,853,813,425,457,566,291,453,753,686,805,
171,366,955,508,294,029,608,747,009,238,970,253,644,666,684,657,768,640,589,
721,678,592,273,320,617,052,828,496,225,706,548,776,638,841,079,645,230,397,
630,351,869,613,295,293,088,921,091,854,914,848,154,424,126,835,933,689,512,
728,923,883,739,518,420,101,405,928,089,599,264,503,645,478,715,398,210,651,
947,623,883,629,221,282,834,479,172,453,033,784,854,018,771,733,566,467,750,
029,554,975,562,109,057,517,559,336,486,216,938,216,200,268,865,349,643,295,
290,882,424,173,678,028,737,458,075,307,843,960,855,886,970,244,277,828,298,
681,011,351,318,549,391,040,664,729,333,650,634,365,709,937,167,540,358,616,
395,039,346,398,684,902,594,289,669,332,011,088,342,647,564,100,833,698,422,
479,901,071,021,052,500,036,297,479,717,667,999,218,451,189,052,497,810,345,
499,605,197,320,552,647,930,213,338,701,973,802,062,964,845,734,263,135,939,
416,130,120,464,228,755,069,707,786,545,680,805,391,654,503,054,170,632,430,
016,616,267,182,755,604,670,464,640,495,932,658,591,587,802,517,807,321,843,
641,483,980,491,586,993,742,158,921,705,771,854,887,482,074,377,523,213,999,
341,656,907,543,228,973,710,792,359,614,683,383,686,904,207,261,839,830,794,
146,462,380,100,071,222,678,680,799,765,266,773,140,308,133,068,596,331,696,
086,461,528,298,491,103,958,318,976,677,707,149,801,370,884,929,302,215,868,
890,985,960,787,732,227,680,003,477,738,000,897,266,331,389,628,744,738,574,
996,347,252,764,276,782,828,588,116,519,997,933,422,751,122,567,591,645,477,
471,418,751,130,387,756,247,586,293,948,361,625,306,748,392,848,193,463,346,
130,582,895,013,704,095,129,353,359,677,493,980,076,666,314,281,440,340,929,
722,745,053,396,825,506,971,244,890,766,823,794,786,654,521,963,195,799,667,
808,720,598,738,337,478,499,791,053,830,577,923,111,361,598,420,087,141,139,
379,188,042,921,616,467,937,103,411,965,850,197,821,742,720,694,025,030,055,
725,445,106,237,230,868,779,376,069,117,345,313,550,536,157,529,575,396,768,
578,950,009,005,372,419,142,089,011,776,473,327,807,362,498,275,377,182,890,
822,301,276,279,266,253,443,428,128,588,886,525,150,753,306,546,478,206,752,
131,689,909,102,734,537,524,842,178,387,600,728,072,011,516,738,606,392,927,
619,562,821,068,679,900,713,215,521,153,616,559,565,312,074,603,085,094,825,
950,113,464,230,674,113,059,373,137,159,909,176,409,000,473,318,330,377,893,
223,190,250,505,927,949,347,536,667,458,178,369,795,182,326,068,954,945,625,
635,117,153,638,334,617,661,262,600,647,462,742,422,869,888,366,925,031,207,
039,377,102,673,772,399,713,898,810,318,930,615,440,231,234,404,130,309,402,
847,161,225,426,736,758,494,192,123,550,254,480,958,224,716,494,845,017,305,
977,937,810,695,118,315,554,855,961,216,224,714,231,705,355,476,645,923,287,
248,127,896,348,621,417,079,798,792,433,530,052,779,675,927,211,779,978,811,
819,988,612,574,790,301,150,152,732,115,294,935,335,264,067,348,574,225,634,
570,393,709,115,972,053,763,934,297,974,088,953,538,915,916,723,671,129,483,
814,002,319,818,054,414,938,663,644,710,809,580,690,206,181,526,508,821,304,
414,883,771,373,556,792,763,629,470,331,206,453,902,899,226,076,472,260,553,
754,528,699,638,111,392,965,161,549,646,683,073,482,754,614,465,277,886,750,
509,654,632,022,237,857,001,169,463,999,736,967,427,923,867,626,247,078,526,
820,487,131,349,409,490,853,316,565,732,226,808,965,713,731,585,283,426,731,
300,159,583,753,549,861,427,463,291,265,968,651,627,283,681,553,407,372,734,
924,339,384,373,805,159,028,883,988,388,439,751,656,228,582,896,535,917,512,
683,728,098,754,036,706,032,526,167,649,068,428,217,425,629,569,760,455,830,
117,246,952,207,857,486,256,746,683,786,797,477,449,234,895,225,470,864,635,
599,544,351,026,443,216,159,132,626,446,579,894,628,980,543,554,412,194,547,
814,279,879,342,060,477,105,605,276,174,370,408,439,068,767,161,940,442,552,
038,282,075,244,951,183,401,842,706,449,093,867,381,743,181,474,063,885,851,
806,892,061,243,140,390,790,081,400,623,648,445,956,733,857,399,485,740,842,
846,383,728,233,434,537,688,242,511,229,094,717,311,123,464,143,870,703,807,
099,541,710,167,648,290,422,120,608,013,715,568,733,230,287,847,333,110,732,
533,282,579,151,372,541,899,630,911,037,842,744,286,688,542,398,315,789,260,
694,985,012,065,512,069,294,222,676,665,998,111,105,577,499,040,594,015,417,
851,103,629,547,409,221,172,668,857,700,031,281,376,262,406,783,333,933,249,
973,670,570,236,777,586,762,666,311,441,593,446,038,411,874,907,529,592,892,
799,063,187,861,425,524,655,272,392,413,480,720,289,806,248,394,495,820,112,
802,243,558,172,677,778,163,376,973,065,299,106,876,801,364,540,650,162,734,
816,910,973,467,445,193,547,359,888,460,475,210,192,753,080,778,802,544,692,
307,307,157,286,247,200,806,412,162,877,593,285,186,015,645,031,449,113,850,
587,220,181,585,382,688,585,460,733,522,482,170,035,154,549,471,495,432,168,
502,578,186,088,727,139,603,729,930,738,738,575,675,906,623,976,617,691,152,
182,914,052,301,899,273,690,408,746,472,508,548,909,354,693,034,855,178,942,
051,735,768,634,135,287,178,298,106,705,927,641,482,169,639,777,170,038,161,
705,634,912,709,311,294,089,200,242,434,679,696,602,969,344,866,951,747,927,
630,250,577,524,825,541,617,519,365,249,588,750,426,849,548,558,027,482,569,
534,658,786,211,104,554,190,945,306,930,555,886,525,148,964,048,844,994,860,
235,306,729,966,634,572,529,089,358,726,211,196,006,528,873,689,134,319,688,
007,710,813,955,802,925,143,865,308,012,355,657,305,725,627,634,132,767,057,
333,553,333,027,278,215,669,336,642,675,783,455,653,701,964,910,984,947,013,
903,881,139,370,770,727,980,020,077,039,759,326,276,619,602,294,813,733,259,
064,960,329,911,699,168,889,073,670,808,709,398,911,263,618,565,280,743,686,
107,691,314,453,243,854,923,886,004,233,095,238,794,439,768,600,522,466,229,
214,497,379,866,283,460,869,253,627,773,681,784,839,685,602,427,607,477,380,
063,719,946,183,841,137,552,786,772,319,282,403,302,350,528,815,707,646,426,
208,515,060,345,608,462,427,937,506,995,542,058,701,345,067,191,900,665,746,
397,644,854,700,513,628,141,556,554,009,042,201,295,994,670,583,690,424,808,
480,237,054,072,832,027,682,434,282,023,927,999,016,856,017,649,884,921,170,
009,233,063,203,661,592,547,477,022,871,360,021,594,308,207,977,498,092,507,
549,239,594,166,394,702,274,225,526,662,487,143,680,602,553,515,221,424,202,
832,029,546,853,256,451,585,036,610,306,084,103,355,989,780,989,500,916,280,
438,452,072,629,749,872,526,222,938,677,700,583,053,409,382,468,520,153,248,
337,194,369,088,207,083,805,876,848,533,514,664,726,849,819,202,938,595,052,
747,523,969,878,256,499,732,305,924,106,682,092,675,022,148,979,816,269,541,
460,268,729,852,675,601,051,186,209,868,179,242,038,312,876,668,227,227,216,
254,133,861,472,762,097,476,051,041,118,143,645,818,310,272,203,360,965,807,
208,966,194,204,383,476,573,040,156,343,014,064,130,934,805,005,037,294,578,
089,040,098,489,809,751,235,863,574,687,724,418,692,646,229,814,236,397,304,
267,695,141,064,963,229,800,831,120,792,554,232,313,056,695,028,131,990,083,
782,596,174,671,569,025,800,687,934,410,040,841,238,825,021,740,817,781,562,
040,541,639,627,878,182,883,802,447,461,022,480,053,318,931,125,439,394,427,
462,487,957,379,996,440,011,300,621,180,418,958,350,590,404,713,826,585,265,
300,954,010,834,865,787,671,563,521,475,539,288,151,887,657,195,933,384,455,
967,625,136,973,137,746,420,802,301,107,905,833,427,998,057,594,473,096,690,
792,564,713,090,509,248,379,060,271,389,187,074,639,383,110,905,999,297,713,
675,292,811,197,587,136,222,039,725,561,615,045,926,104,905,067,842,190,600,
418,813,460,558,260,024,909,019,855,035,055,463,485,551,654,987,980,612,964,
736,796,331,399,499,405,599,477,249,631,871,504,675,214,630,369,881,985,441,
963,612,719,160,847,743,927,102,210,541,372,651,123,078,634,477,304,734,422,
434,827,121,166,740,674,765,995,327,526,237,936,731,954,296,026,804,907,348,
621,801,174,036,778,808,820,998,848,497,672,424,901,465,871,065,533,887,353,
074,822,752,370,573,880,762,794,691,346,550,987,506,289,476,021,676,195,722,
711,876,138,408,795,181,990,019,730,162,994,834,747,549,936,910,983,762,629,
968,866,409,031,701,907,467,542,692,526,025,149,837,653,635,283,986,794,312,
576,845,180,434,172,839,142,073,944,746,562,611,021,093,401,033,765,047,542,
950,827,294,727,248,279,533,286,789,202,659,977,057,052,150,130,218,695,469,
117,800,844,111,374,818,871,889,442,130,166,259,365,264,075,329,312,160,142,
954,317,886,050,674,938,642,263,119,691,027,324,741,405,634,872,423,474,041,
213,301,374,294,028,335,242,469,532,551,793,314,737,663,450,664,017,506,100,
359,601,961,402,505,928,716,220,636,643,958,362,857,544,489,395,332,943,670,
335,160,444,333,826,663,651,276,684,647,584,048,150,172,939,257,857,821,010,
660,613,667,410,598,882,799,462,011,211,216,018,235,103,052,160,942,885,377,
779,285,139,503,555,725,409,561,780,332,457,880,156,943,553,073,426,551,380,
910,402,270,591,456,094,766,424,768,634,599,487,883,771,663,890,399,415,791,
679,986,383,725,177,919,687,886,653,047,129,124,916,471,248,338,895,888,894,
148,678,374,544,088,519,250,927,959,632,107,103,083,244,923,497,118,311,473,
288,905,725,875,554,040,027,169,248,591,628,518,203,524,845,241,960,894,781,
410,689,728,092,759,861,068,860,916,662,459,156,993,064,018,536,010,077,285,
250,812,564,220,040,793,339,612,169,440,746,480,466,494,177,608,870,524,612,
027,300,662,168,198,230,686,427,893,760,887,629,358,769,644,094,041,671,705,
073,965,294,183,473,218,380,795,002,593,822,731,845,536,772,958,800,346,160,
449,622,376,503,644,517,567,979,548,380,530,637,712,398,482,272,486,487,434,
946,523,087,752,000,044,105,925,040,045,765,216,961,078,091,053,161,011,126,
549,302,611,580,500,991,229,266,991,300,525,894,272,306,836,416,936,365,081,
423,337,148,726,086,392,810,544,308,708,944,378,509,438,988,661,256,163,723,
286,540,181,156,722,202,734,893,940,209,046,224,164,272,010,208,990,938,071,
571,795,021,238,131,712,668,677,941,560,587,681,657,287,933,588,839,421,849,
645,628,108,450,359,548,517,850,625,062,832,180,459,580,714,817,583,841,425,
416,320,566,781,843,956,984,663,717,354,065,513,099,170,579,975,241,754,278,
653,130,498,602,066,637,739,394,073,129,782,996,856,110,682,031,576,745,790,
029,671,719,837,889,750,261,492,205,288,030,042,238,690,514,769,287,020,727,
884,763,784,048,106,639,295,636,575,764,301,996,918,821,579,598,456,300,155,
258,417,942,667,254,237,053,232,504,843,229,187,020,212,895,965,697,277,242,
696,537,600,974,682,413,655,295,583,281,366,104,468,671,707,935,192,061,736,
561,431,214,797,227,439,865,426,514,782,792,405,006,609,409,443,537,057,255,
000,918,784,913,287,768,744,919,121,934,966,432,477,861,188,893,965,772,912,
072,302,694,371,781,089,022,852,130,281,275,373,760,049,571,752,523,985,087,
869,889,213,829,973,507,377,685,161,945,893,916,932,336,679,012,889,070,416,
375,692,738,939,987,442,994,554,569,944,605,432,627,583,116,316,154,836,762,
745,137,524,319,238,884,729,678,377,388,468,237,953,015,900,503,378,788,176,
616,628,101,207,975,927,807,199,870,603,117,469,025,935,629,399,350,040,718,
514,719,973,046,365,403,077,373,619,918,154,942,977,025,866,607,685,300,460,
602,157,582,585,903,917,946,007,683,733,867,592,214,258,907,476,233,805,508,
814,501,642,099,362,545,200,253,478,888,770,272,599,631,612,550,368,836,680,
800,705,319,740,053,855,187,294,652,109,631,710,413,243,495,910,620,532,231,
764,794,522,716,852,010,067,384,323,818,107,596,669,120,146,609,467,639,345,
467,351,083,782,383,255,343,054,578,622,009,800,210,170,947,180,220,233,948,
256,397,046,941,735,743,236,963,344,948,045,766,055,756,121,199,126,382,870,
596,598,312,931,485,501,124,900,297,228,104,735,836,972,689,765,871,927,098,
904,741,181,696,239,520,756,511,418,475,304,020,599,980,831,725,676,538,746,
270,213,855,615,030,718,675,163,156,316,947,061,811,634,678,589,222,963,104,
030,903,384,839,420,774,060,187,577,405,011,637,750,082,091,155,056,325,988,
442,385,990,160,077,902,791,416,773,551,092,694,343,566,861,161,963,790,491,
257,890,369,393,832,376,470,210,183,495,776,087,766,316,099,592,999,538,609,
249,697,107,081,829,521,436,851,675,675,484,053,554,338,879,395,750,341,800,
860,397,991,427,305,610,185,150,324,088,630,993,871,153,849,251,476,714,489,
545,886,042,429,189,958,647,344,386,646,550,889,019,440,265,582,482,068,847,
925,826,483,528,544,518,975,808,872,835,134,615,135,712,601,575,705,807,941,
809,577,703,010,393,892,893,486,780,455,528,613,841,500,575,882,264,474,818,
256,654,807,488,081,831,653,817,365,976,107,743,953,432,691,735,664,155,664,
444,658,118,253,040,743,014,883,593,885,155,017,264,648,042,578,890,785,310,
598,341,279,006,892,448,857,802,272,909,743,926,154,851,873,672,435,758,044,
630,249,573,286,160,717,463,305,136,438,841,855,560,887,957,099,126,799,705,
464,850,146,049,941,079,678,633,999,912,046,341,998,212,379,693,340,596,712,
596,246,323,631,120,645,492,640,627,840,023,705,987,486,433,613,881,035,156,
437,038,371,356,119,803,072,719,800,136,578,185,292,721,649,772,745,460,585,
829,877,568,681,324,644,601,232,310,335,137,684,132,824,302,679,890,563,428,
598,783,537,446,980,366,774,156,647,320,881,652,443,335,269,416,507,747,857,
947,186,646,773,713,671,949,283,742,522,058,141,609,590,363,359,041,456,878,
429,665,314,867,521,540,568,839,044,588,651,467,073,272,819,086,948,975,246,
648,395,911,140,473,027,095,515,972,446,564,274,432,960,758,029,474,232,899,
621,928,589,217,573,734,391,079,596,059,641,211,431,902,660,055,283,809,330,
230,863,345,909,758,137,320,970,803,915,265,223,368,005,165,607,553,007,464,
403,351,371,110,092,773,489,419,777,541,076,646,195,412,021,117,523,994,067,
340,136,442,635,726,668,245,425,557,052,349,483,902,125,227,749,090,329,432,
864,657,050,867,855,581,154,693,463,930,671,111,467,385,164,376,078,232,975,
663,539,833,432,684,369,545,174,877,872,047,074,169,851,664,072,654,481,467,
444,854,192,101,839,492,190,680,644,931,270,662,603,388,920,397,296,881,508,
052,371,781,683,589,724,679,482,329,380,446,397,116,034,600,544,190,938,344,
099,717,136,649,625,044,600,325,108,744,976,010,240,363,246,086,374,166,681,
695,326,189,458,213,318,687,965,533,604,509,204,492,034,215,866,291,224,565,
247,606,892,491,168,122,929,300,926,495,814,432,253,864,920,807,747,329,887,
072,516,943,887,356,904,457,002,137,067,291,514,341,292,425,138,777,087,272,
597,288,995,090,761,000,887,510,099,602,034,040,581,095,144,216,702,308,442,
308,259,559,092,215,113,868,851,127,171,548,449,580,552,796,004,522,344,645,
011,572,920,081,984,892,921,034,626,946,472,650,837,372,224,348,620,113,415,
959,457,439,508,436,982,582,317,818,396,057,514,648,016,707,908,047,442,931,
607,589,937,985,983,636,665,389,430,139,986,601,897,759,437,207,702,895,580,
405,400,295,200,604,716,932,855,321,640,562,307,940,654,496,873,217,224,617,
686,588,510,747,743,085,476,198,921,958,808,080,282,491,678,258,730,354,448,
692,163,524,392,508,789,164,335,785,276,949,842,249,869,460,811,543,160,306,
677,850,599,100,498,879,883,774,201,791,182,197,841,270,944,603,804,407,475,
760,534,681,732,601,009,865,756,206,058,353,266,828,396,521,660,558,439,399,
825,848,901,826,456,153,171,449,935,993,124,388,147,673,331,694,939,468,848,
461,522,987,622,985,695,886,760,184,103,324,030,632,401,585,639,940,977,507,
312,547,567,459,330,974,834,365,868,059,457,300,657,180,422,911,586,981,801,
233,608,309,533,700,323,336,781,986,486,007,663,938,396,791,930,204,309,602,
671,195,476,678,012,331,985,999,936,547,909,638,594,449,275,702,439,055,846,
842,870,017,311,518,219,773,105,201,451,537,534,710,475,040,686,537,915,398,
380,601,801,455,139,909,278,317,622,310,914,331,308,897,772,097,114,222,139,
793,323,546,285,850,825,264,293,084,654,511,304,221,906,060,814,479,160,106,
701,804,988,426,487,507,290,094,560,702,712,350,655,666,753,296,711,880,270,
190,460,582,726,045,770,082,138,103,684,788,221,860,606,940,871,461,812,105,
307,451,003,519,375,113,608,929,161,859,822,276,727,466,073,308,801,075,569,
428,126,646,137,053,164,429,444,080,795,054,950,211,323,427,186,076,176,426,
329,547,861,174,094,307,980,262,897,291,269,036,600,275,335,490,751,500,592,
902,973,135,033,790,771,513,023,680,372,929,697,436,381,942,572,615,853,055,
359,203,281,113,528,707,028,167,646,086,119,553,105,697,700,468,627,296,216,
600,038,132,386,008,311,193,153,488,256,674,544,973,416,005,006,867,653,444,
102,688,283,786,831,172,240,328,764,404,139,882,268,667,134,849,808,833,490,
221,082,251,681,343,068,045,051,857,368,800,271,854,495,273,395,052,543,740,
514,058,011,603,651,154,120,939,296,436,063,014,374,441,222,824,552,469,373,
320,402,599,239,244,069,507,484,037,660,114,837,181,307,935,547,305,798,645,
039,905,878,776,503,013,569,336,961,303,092,793,609,563,443,540,143,330,868,
362,351,529,194,117,535,814,890,177,010,177,283,537,368,305,787,628,728,831,
822,108,525,318,988,857,231,737,814,576,516,979,946,795,312,212,676,345,276,
923,542,167,315,116,575,615,384,140,256,095,553,278,094,854,014,321,938,493,
553,378,408,629,484,136,197,869,188,723,897,607,586,605,696,544,250,808,026,
111,193,970,410,334,738,011,596,229,528,710,234,302,234,811,504,910,647,584,
039,208,394,614,458,513,970,283,914,585,371,311,811,933,067,201,729,883,861,
488,609,874,421,165,178,669,464,063,234,738,601,953,300,054,117,198,529,422,
621,790,160,300,296,664,083,453,145,163,704,599,497,201,686,015,115,019,228,
174,075,758,445,378,141,089,385,300,714,287,738,314,970,394,377,250,029,833,
491,656,746,010,907,598,558,404,661,662,242,052,584,119,433,521,497,534,209,
639,725,763,587,560,775,176,406,658,882,933,725,468,742,211,949,869,975,837,
906,099,541,809,001,417,341,222,923,458,699,289,387,304,164,112,932,060,796,
416,545,189,272,089,816,230,134,175,993,810,145,198,696,702,296,018,896,884,
168,213,904,064,646,152,918,250,747,223,994,434,412,764,834,376,389,111,630,
874,631,886,397,242,111,880,028,488,050,265,667,378,840,900,174,859,301,471,
461,346,142,726,823,311,452,713,858,706,554,184,060,147,637,445,780,962,961,
021,921,682,358,933,902,799,514,431,252,003,173,493,190,857,167,388,142,062,
029,779,440,724,185,951,342,749,107,116,057,430,633,962,135,244,453,891,403,
415,416,024,652,168,357,727,807,645,564,142,222,388,856,814,519,453,262,168,
182,140,954,949,353,470,123,499,610,389,648,651,600,674,934,371,048,042,477,
012,499,867,542,661,993,669,104,998,011,964,487,850,586,099,711,243,560,899,
915,073,374,907,189,001,049,403,734,979,098,698,128,399,880,094,794,123,280,
849,680,198,939,737,170,253,156,215,303,186,235,039,134,004,092,795,806,309,
765,260,763,386,616,568,934,742,608,561,786,874,922,806,756,036,605,985,212,
429,035,368,903,533,878,766,926,752,599,574,285,359,629,239,735,876,353,967,
939,310,044,360,233,808,069,297,968,051,507,886,366,523,991,454,566,519,205,
532,375,080,659,390,477,080,171,122,197,769,008,470,266,495,712,015,158,902,
747,498,722,783,027,797,503,909,883,103,083,779,045,112,882,652,961,232,696,
319,056,752,369,721,150,530,802,219,231,567,816,525,502,405,523,328,984,554,
326,349,498,573,925,549,448,257,478,521,398,339,990,922,478,742,453,671,971,
241,658,768,734,140,357,568,088,681,171,988,818,299,113,158,277,832,372,498,
887,793,600,540,578,512,371,737,776,399,327,966,930,967,217,871,193,500,158,
567,638,885,100,189,923,421,505,545,284,975,824,671,004,970,812,695,767,729,
494,439,318,823,409,574,751,786,304,045,002,361,505,447,622,434,217,556,436,
882,872,873,486,290,205,497,850,765,035,812,358,189,430,614,330,432,261,219,
526,473,804,129,021,718,382,510,674,455,270,576,461,773,873,600,332,398,180,
871,209,540,725,205,654,326,968,672,602,367,616,127,568,168,097,549,904,973,
286,557,683,478,574,637,601,166,350,931,000,970,780,097,957,303,822,616,806,
077,132,659,004,500,497,928,938,435,967,978,524,395,303,338,659,170,728,161,
275,810,997,722,542,960,077,094,702,303,404,728,528,921,994,074,965,830,918,
870,694,256,773,500,630,747,449,545,291,586,416,930,180,484,770,144,896,318,
112,533,533,318,185,925,282,172,500,465,461,182,396,390,121,076,014,264,654,
304,385,083,572,004,803,134,536,079,280,891,616,549,983,541,038,193,350,906,
542,980,881,668,908,961,985,872,109,481,091,324,713,426,762,525,154,796,816,
180,612,297,957,870,082,300,907,488,973,278,825,567,343,940,463,891,102,897,
603,341,574,449,438,305,426,386,814,051,035,078,135,315,608,158,729,515,515,
957,314,870,045,518,226,144,018,263,330,339,152,522,318,000,237,478,178,122,
134,477,795,427,090,266,377,547,408,486,279,924,560,551,124,953,097,732,451,
496,416,049,746,264,638,912,296,079,948,643,010,999,526,584,123,336,773,949,
873,907,436,368,881,204,315,527,241,826,547,785,845,503,351,706,194,829,869,
517,440,334,734,461,697,017,687,067,117,676,983,861,720,735,108,507,101,000,
182,765,792,400,494,085,288,136,341,947,115,399,467,151,017,594,121,725,818,
176,138,919,732,070,745,527,144,544,201,190,854,915,444,356,469,528,420,746,
992,907,790,233,752,928,636,590,415,448,670,320,580,927,825,153,120,729,419,
682,851,651,965,208,102,637,730,815,633,136,223,610,199,229,143,193,304,906,
024,510,853,173,320,571,293,559,184,672,094,445,928,002,782,195,101,632,508,
981,127,301,877,340,275,990,878,474,956,863,211,918,104,227,734,474,811,950,
243,758,685,903,831,893,215,583,667,801,901,053,593,471,414,650,844,236,310,
757,199,782,219,361,467,145,246,098,260,689,814,444,749,841,563,492,536,910,
459,103,698,902,146,184,484,698,099,789,705,790,245,875,364,537,891,389,731,
233,386,569,275,514,277,826,846,566,192,529,006,596,629,273,786,169,040,159,
275,356,684,046,085,731,722,952,186,770,232,950,002,105,984,655,683,342,050,
606,517,753,207,042,159,135,014,448,006,489,593,458,029,255,179,070,304,571,
236,135,571,097,846,554,358,318,851,719,898,224,749,562,414,224,590,677,044,
052,485,503,986,953,090,617,434,887,773,284,457,582,675,567,338,444,616,898,
277,497,468,656,491,539,514,467,300,644,574,042,762,077,707,958,616,235,709,
376,513,671,419,626,864,774,388,854,865,051,703,166,286,019,762,861,790,456,
540,912,193,133,762,933,565,819,896,955,198,823,952,271,284,931,711,733,804,
533,527,347,435,282,258,930,787,780,087,265,680,593,223,697,708,879,120,940,
991,873,727,710,532,771,499,651,449,015,830,272,138,332,100,446,554,359,882,
021,915,050,156,626,099,568,815,035,573,959,853,115,838,645,733,996,192,525,
711,364,664,440,678,212,311,564,747,012,073,808,777,997,003,484,403,831,869,
387,140,842,379,436,882,841,349,270,728,345,492,714,073,047,376,712,657,336,
826,899,453,292,719,581,410,990,684,168,012,104,691,742,018,123,748,900,249,
911,648,726,767,279,575,144,007,528,088,378,287,724,985,886,984,281,205,482,
452,865,449,518,642,081,933,541,328,897,045,094,770,904,790,829,434,614,049,
323,796,736,361,977,465,693,495,568,069,117,963,309,231,806,129,002,793,359,
233,990,108,960,641,677,572,573,411,140,534,748,198,488,210,285,256,031,001,
290,623,570,775,764,753,986,984,646,569,143,909,415,386,016,584,153,327,540,
794,931,758,115,340,587,475,313,549,521,867,207,936,459,013,539,277,581,873,
253,171,014,910,779,641,359,835,213,738,094,128,466,896,615,741,782,356,739,
702,219,335,547,538,003,776,672,920,354,030,920,071,849,474,184,404,616,226,
475,559,322,945,087,669,224,268,311,408,428,458,276,477,215,296,795,546,903,
600,893,672,144,758,723,719,532,456,258,723,077,941,278,221,332,781,685,840,
622,005,621,033,862,661,310,666,069,667,870,936,224,570,221,028,035,197,062,
319,489,616,213,303,919,867,385,437,385,652,688,570,232,626,586,828,943,014,
318,367,429,768,263,121,560,496,378,321,475,247,987,476,460,260,989,393,577,
028,978,222,190,034,874,796,145,891,702,433,467,352,523,751,389,109,104,008,
822,018,555,082,584,267,596,102,931,625,741,039,343,373,335,619,832,609,547,
040,512,388,482,155,051,323,386,450,109,240,336,312,467,203,148,399,719,690,
327,886,829,884,131,333,829,591,528,100,492,100,151,381,617,519,107,066,575,
095,649,808,442,024,513,324,777,806,750,312,932,294,608,990,914,765,804,981,
575,584,093,674,764,519,657,662,551,552,576,414,213,185,777,661,362,934,634,
687,973,437,838,270,965,089,095,066,937,916,478,224,631,642,185,373,730,940,
551,959,448,475,584,817,762,524,873,328,709,068,856,556,744,443,283,049,041,
158,024,104,800,717,257,701,032,354,375,345,150,085,498,524,935,835,918,396,
855,730,485,999,145,598,994,879,846,995,068,803,758,846,190,769,656,759,400,
874,660,778,059,120,790,507,407,771,837,966,130,539,856,133,158,542,685,133,
889,542,833,778,937,412,349,270,460,446,605,583,044,509,383,135,497,018,621,
857,065,228,100,420,515,376,643,120,164,587,857,169,053,661,573,107,038,382,
464,179,075,023,495,933,729,460,528,227,451,517,843,429,464,083,022,726,908,
276,217,034,109,193,580,416,689,099,621,799,693,067,069,994,768,691,542,680,
289,724,761,965,263,977,777,933,529,915,164,734,728,891,212,058,530,843,725,
763,918,087,431,786,640,154,173,155,783,542,225,693,166,462,232,568,791,304,
295,669,571,066,678,979,633,124,812,013,259,687,212,601,489,075,599,746,316,
220,900,326,922,521,304,492,455,214,816,510,567,460,124,911,605,862,754,455,
155,843,781,757,531,517,986,314,895,197,957,322,797,717,274,248,232,401,917,
751,692,672,765,365,020,746,592,785,396,964,146,351,801,876,558,557,654,584,
201,815,682,651,457,507,849,938,203,274,267,450,047,896,670,843,798,874,137,
357,861,804,481,034,849,434,423,419,245,291,369,327,333,306,972,031,434,591,
222,020,145,765,653,182,658,807,379,823,163,558,736,032,793,816,535,509,013,
354,998,298,139,876,420,513,512,729,763,630,022,002,019,127,651,041,437,335,
666,314,650,319,353,040,505,644,802,607,407,652,925,129,788,855,654,635,064,
395,699,801,296,887,667,599,953,001,495,620,131,441,614,290,195,906,762,711,
114,601,699,351,475,291,092,298,330,608,513,801,211,292,901,951,221,796,083,
008,235,715,893,243,531,741,091,289,813,573,473,864,278,056,802,873,818,159,
600,195,355,281,378,544,694,960,285,862,787,446,197,336,708,337,830,780,946,
635,283,884,473,870,578,746,711,469,994,566,177,507,289,110,577,329,818,982,
837,214,164,798,358,639,200,453,555,914,565,071,466,148,418,500,904,697,956,
861,599,966,761,468,334,572,319,648,220,256,473,705,565,556,783,392,971,552,
447,841,099,319,570,301,603,258,841,664,140,393,779,943,317,929,611,655,339,
389,800,139,791,854,126,188,796,121,719,558,138,164,600,306,125,757,020,222,
796,774,935,712,869,884,151,261,701,544,464,886,669,081,968,576,496,962,429,
655,622,114,778,280,970,202,035,642,137,391,813,278,363,523,347,769,652,298,
608,802,356,427,627,984,790,907,136,887,657,700,238,103,509,799,050,302,930,
411,960,635,859,973,297,813,365,997,704,262,830,704,717,852,317,925,197,858,
217,345,369,055,381,912,524,732,581,444,645,384,435,585,736,168,847,376,905,
604,582,815,353,410,426,862,280,637,597,603,849,106,871,775,752,761,118,544,
616,211,959,651,584,299,074,871,677,338,811,372,383,505,839,013,031,332,181,
065,715,679,400,590,570,323,527,319,543,992,829,463,536,756,394,702,381,092,
764,028,235,920,052,145,880,593,470,503,667,988,548,267,443,707,663,428,623,
378,099,377,704,952,174,086,941,156,942,104,070,124,829,919,043,587,646,159,
834,066,135,681,983,519,571,782,234,340,117,201,427,634,981,060,453,791,048,
502,471,862,645,956,115,952,389,468,533,577,019,752,535,845,429,799,798,770,
300,388,681,077,369,196,428,873,409,387,160,783,019,262,484,099,218,613,497,
887,634,374,092,019,116,437,334,046,395,819,590,862,061,789,950,593,837,532,
470,240,934,249,582,867,564,251,773,547,573,074,284,422,235,624,152,011,742,
269,523,039,197,484,917,887,358,694,386,035,660,368,082,105,555,659,332,620,
986,887,148,770,598,748,950,174,199,277,217,155,975,452,675,855,696,795,269,
004,901,631,069,652,847,143,608,321,064,893,244,817,768,289,746,650,611,894,
478,077,727,019,480,612,323,476,260,317,160,653,461,218,402,357,852,663,878,
794,766,685,981,967,324,098,748,967,653,038,743,742,625,897,462,011,555,180,
611,722,744,615,434,208,182,738,119,721,225,782,362,337,478,759,207,795,308,
098,540,067,076,083,907,286,223,450,894,975,804,299,844,666,666,914,883,825,
743,786,136,122,355,859,729,138,439,089,410,583,056,331,889,224,600,205,187,
495,996,679,524,204,186,724,801,808,791,658,708,346,600,567,178,168,478,453,
659,327,960,788,647,963,137,180,056,903,635,118,116,921,809,025,591,963,481,
354,380,433,497,463,591,424,467,289,221,042,205,015,969,101,827,701,087,463,
133,553,816,074,204,416,786,832,332,948,630,338,641,416,589,003,067,891,366,
620,043,439,218,989,394,282,291,391,317,339,166,213,083,921,172,380,680,305,
966,512,559,194,199,198,892,927,318,872,258,512,469,414,415,695,829,552,010,
842,465,891,823,465,237,773,521,508,221,209,708,839,461,516,134,148,655,522,
314,129,488,412,245,772,165,636,169,417,728,684,979,372,271,422,607,913,585,
227,201,252,169,062,189,425,257,777,171,149,540,143,257,394,464,992,640,919,
465,202,411,887,778,520,206,117,517,445,532,268,649,508,849,578,249,070,624,
598,721,940,203,723,189,269,104,277,912,879,284,848,910,561,141,639,670,275,
137,910,207,068,306,215,238,820,838,603,344,417,667,214,540,384,131,527,482,
475,659,799,525,966,884,761,100,756,773,769,399,540,499,746,903,126,488,401,
103,897,782,723,563,035,813,036,073,217,222,046,197,377,523,150,353,207,027,
749,797,208,933,446,879,614,898,704,140,230,226,700,303,363,825,591,415,574,
518,113,552,597,734,677,078,114,398,857,417,887,769,303,048,026,518,138,725,
342,991,104,938,631,703,349,244,068,790,002,192,524,621,922,393,108,626,045,
043,765,172,921,300,468,748,558,027,309,364,302,517,973,663,428,392,851,551,
510,565,585,555,582,353,431,180,534,324,610,791,177,724,162,557,797,976,741,
920,735,806,087,124,294,875,472,712,006,615,063,335,177,210,328,964,457,976,
352,186,075,860,240,910,258,481,093,057,184,142,448,604,139,583,061,239,539,
834,622,754,137,537,593,106,712,835,493,423,363,271,720,571,753,452,080,949,
162,712,158,026,653,112,296,761,555,413,775,076,259,444,448,104,237,498,418,
255,240,486,055,146,515,149,613,395,438,687,150,545,466,623,947,749,141,693,
744,226,322,865,557,529,381,413,372,349,799,053,507,773,160,626,003,100,282,
293,034,040,800,037,465,679,743,315,605,484,032,639,856,563,845,473,552,360,
614,931,995,800,527,994,991,114,216,573,591,330,939,285,274,321,180,014,790,
337,059,457,579,589,080,782,666,629,630,344,798,422,520,632,969,196,915,789,
710,903,777,165,931,212,610,622,104,593,276,809,496,865,215,632,932,435,942,
621,101,631,355,520,720,647,052,416,336,736,221,390,182,075,531,079,972,468,
182,126,982,346,882,187,591,131,772,002,371,275,672,346,799,449,894,287,754,
519,859,690,204,057,028,322,340,745,596,779,598,323,584,541,695,261,744,856,
710,073,300,917,249,516,410,858,879,242,045,390,643,250,212,564,461,982,100,
095,752,319,595,415,659,282,012,893,405,920,737,535,661,460,550,253,526,224,
038,118,056,768,174,491,265,802,845,066,525,199,449,092,372,673,035,836,898,
761,693,440,455,598,774,767,258,868,535,837,219,070,745,871,883,047,439,963,
406,799,676,069,278,471,241,820,663,020,292,155,982,387,611,624,244,605,022,
136,087,412,652,019,844,080,436,034,232,213,676,292,792,720,859,821,235,772,
673,200,551,493,324,635,810,721,496,192,193,075,557,324,563,862,243,476,195,
417,587,073,313,952,805,109,083,349,414,146,587,851,660,310,970,503,010,915,
736,848,258,234,500,418,893,901,740,685,431,191,657,123,053,636,643,325,921,
859,793,102,107,698,247,754,628,703,714,293,455,428,054,202,140,685,930,132,
390,105,020,987,384,251,729,906,715,729,426,433,249,742,267,576,465,716,292,
178,548,311,944,593,056,322,786,048,536,857,065,514,864,299,023,555,584,241,
637,423,481,922,296,843,815,292,551,189,337,152,309,736,274,466,944,791,155,
946,443,539,222,482,805,962,302,623,625,374,877,421,618,456,466,724,994,487,
428,347,306,210,801,360,138,070,310,388,623,750,839,182,870,869,651,295,759,
784,228,179,575,785,609,990,809,009,526,581,748,738,793,568,888,198,323,751,
746,415,129,880,023,789,514,761,360,496,140,972,126,849,881,139,302,334,314,
407,418,351,829,486,866,078,981,226,464,991,813,680,355,632,241,747,893,751,
483,542,507,768,399,691,404,942,092,444,532,284,762,772,395,668,688,719,003,
241,437,999,692,306,063,470,917,912,027,822,778,803,456,175,787,356,385,682,
257,941,620,793,654,592,569,983,065,419,748,191,012,483,341,699,139,459,127,
052,113,156,466,331,040,503,544,045,645,832,526,941,423,544,838,758,824,187,
356,550,928,752,514,410,150,094,817,374,095,702,800,690,994,041,552,328,592,
159,438,410,343,659,950,611,063,183,756,716,940,325,604,029,160,014,539,150,
323,893,376,084,632,489,566,195,786,438,580,957,566,310,775,433,031,242,240,
613,507,247,307,784,189,427,694,352,927,931,598,716,501,632,599,623,889,011,
254,243,277,993,241,840,010,039,980,821,488,804,388,125,651,900,765,135,038,
864,663,601,895,118,678,496,386,732,458,065,203,374,651,799,872,962,779,223,
890,720,134,222,341,422,603,649,808,182,607,395,022,189,454,752,086,935,889,
742,977,906,738,441,715,253,716,406,683,212,620,712,233,799,849,694,761,750,
175,360,735,995,767,867,633,621,640,536,564,546,480,926,212,267,605,916,389,
400,178,034,741,067,578,304,875,779,029,593,699,431,412,963,846,822,284,415,
924,911,758,634,627,417,206,976,853,800,401,533,480,989,327,114,409,463,734,
384,544,990,616,584,129,386,693,631,577,519,856,083,681,170,207,923,515,504,
007,700,466,209,400,669,717,092,221,366,097,616,854,133,268,849,203,564,282,
409,395,847,038,417,806,452,892,244,828,214,037,776,631,806,230,271,823,232,
746,979,529,835,664,974,453,151,988,962,509,672,307,280,490,929,333,543,687,
430,271,202,219,793,807,601,664,806,814,865,406,730,812,647,474,410,757,978,
188,916,697,413,361,172,055,814,744,475,013,194,190,220,805,078,111,023,173,
119,914,082,798,426,423,651,768,577,245,185,432,498,585,618,635,155,313,840,
009,355,792,201,552,157,713,581,272,378,199,858,386,005,013,602,621,928,162,
045,767,643,183,923,763,470,908,314,049,663,682,467,035,626,893,973,650,470,
775,132,719,661,095,489,464,583,649,021,935,845,021,282,865,403,736,924,156,
617,413,446,397,475,592,994,931,699,989,409,413,894,567,022,620,541,022,536,
287,056,267,038,935,222,773,027,077,271,409,343,753,005,212,201,066,837,094,
140,148,618,701,968,298,503,809,989,042,065,617,063,691,814,299,618,951,556,
028,470,051,449,963,823,682,614,397,900,895,496,213,284,472,570,284,854,031,
938,729,171,606,471,326,172,588,251,928,383,396,166,110,327,357,143,905,023,
038,683,979,430,969,283,118,006,347,442,924,219,188,715,316,959,725,292,169,
163,629,151,269,663,031,890,416,219,795,794,402,541,179,531,502,232,757,567,
010,282,953,704,281,830,171,894,037,619,459,886,420,906,805,870,430,802,248,
432,270,126,502,450,964,748,174,901,739,021,774,963,890,240,910,769,348,190,
591,773,750,521,273,358,705,484,399,336,925,542,512,981,483,178,401,289,202,
359,739,176,725,783,271,748,358,508,950,931,009,349,897,698,879,985,117,483,
078,793,600,143,668,283,388,618,975,945,716,950,634,863,057,263,730,720,827,
039,875,913,819,293,708,424,684,028,357,146,536,364,672,198,519,589,947,830,
519,867,902,958,375,945,469,991,210,311,517,593,636,999,759,875,586,716,313,
423,655,854,348,550,317,638,299,678,104,504,183,033,947,182,173,874,043,600,
546,362,497,916,579,464,901,951,666,640,230,533,295,146,339,675,798,569,189,
896,628,835,883,960,489,399,079,002,545,261,338,428,255,468,612,148,662,337,
394,474,532,664,349,797,522,956,689,933,305,397,858,839,310,967,307,277,432,
248,246,136,558,643,875,622,520,405,697,900,690,930,374,940,033,967,893,773,
749,474,422,079,360,249,940,214,806,915,200,119,144,500,014,539,823,411,297,
990,992,865,718,001,783,444,571,246,969,920,843,782,852,926,258,323,428,656,
796,653,980,597,172,329,534,183,698,526,297,814,984,891,379,495,802,536,785,
206,148,724,594,079,768,383,788,181,588,287,296,096,560,518,574,606,417,228,
504,363,584,282,263,470,204,468,561,000,103,000,309,998,482,847,087,183,429,
333,518,343,525,969,914,702,433,902,925,184,553,773,745,463,489,593,895,213,
549,574,117,951,744,078,602,401,082,686,759,640,599,452,772,042,608,952,253,
270,802,125,208,663,383,230,090,246,299,882,124,629,702,850,258,983,983,722,
620,210,001,542,993,522,506,642,744,924,126,568,775,001,718,343,659,374,601,
684,822,730,358,352,307,229,300,459,348,735,263,435,370,811,888,886,209,703,
984,548,286,416,105,523,041,867,107,370,860,538,860,238,641,668,956,703,835,
598,103,707,250,763,173,626,358,579,289,453,181,497,918,391,579,387,583,711,
633,492,320,612,246,632,270,938,246,092,467,311,974,646,896,907,087,664,389,
430,683,760,808,705,781,221,430,529,906,005,397,295,134,674,635,122,124,613,
996,472,006,804,053,508,928,517,894,870,562,261,370,518,605,947,254,241,649,
730,893,542,147,218,266,588,004,403,245,650,971,960,239,522,649,300,024,479,
395,232,665,116,893,820,207,687,217,961,853,925,490,784,619,167,512,693,441,
693,938,181,749,788,057,692,577,608,286,689,507,770,710,424,457,723,446,959,
999,581,650,775,200,324,339,709,977,125,809,021,158,596,109,825,198,281,830,
076,515,722,683,300,711,246,936,656,642,018,729,030,663,269,584,849,208,051,
643,778,691,518,756,741,396,380,117,576,135,830,137,582,879,444,329,757,995,
934,500,451,789,264,021,170,386,538,688,815,467,900,123,317,451,911,631,285,
086,418,580,517,688,401,053,052,005,853,591,714,044,641,737,411,246,497,381,
857,342,642,057,501,872,476,667,899,313,218,309,961,276,028,929,452,811,104,
552,432,619,087,109,796,607,932,479,390,392,444,584,526,811,268,237,868,527,
280,815,239,674,853,510,827,572,867,415,044,638,779,305,650,265,700,406,967,
886,277,938,401,886,999,694,172,211,911,709,027,677,627,905,963,877,133,798,
999,572,916,620,073,043,580,675,187,744,426,586,415,995,015,504,866,045,472,
986,352,955,215,113,136,246,987,573,943,855,058,865,304,246,073,897,383,111,
979,383,015,309,444,861,058,299,247,546,116,542,783,282,145,144,372,244,237,
607,918,245,872,742,133,358,238,002,813,979,811,575,670,458,228,601,194,055,
289,388,183,396,216,392,385,399,628,557,728,865,748,832,140,702,877,695,267,
427,874,024,526,387,315,460,600,064,848,423,815,050,007,145,879,221,787,444,
057,159,164,630,099,264,102,459,869,710,257,519,120,554,074,275,557,446,033,
657,592,069,332,056,425,497,357,357,158,236,832,209,132,972,403,562,910,414,
652,148,546,303,743,582,773,799,565,821,845,419,235,910,538,570,105,334,917,
779,110,184,390,077,065,996,948,659,888,196,474,525,247,709,094,929,708,166,
130,248,985,309,234,071,658,246,212,933,249,211,492,086,490,988,293,886,881,
118,063,703,811,540,133,271,129,279,750,570,865,532,744,648,029,134,952,204,
598,322,218,516,036,664,606,062,823,207,301,717,258,494,487,474,272,798,560,
503,833,367,914,919,146,883,439,689,065,433,828,147,657,992,449,906,411,037,
545,361,211,794,179,256,232,902,547,369,751,726,762,223,023,762,446,349,353,
619,714,819,447,543,628,869,440,154,890,496,969,081,649,103,037,532,423,690,
205,229,528,649,539,552,964,601,282,172,429,909,416,956,302,591,923,872,472,
785,915,034,721,673,890,060,712,506,168,737,984,343,291,956,868,872,516,738,
508,663,710,365,096,633,730,312,272,855,490,002,197,621,890,781,201,041,494,
034,107,808,259,604,393,911,583,598,303,490,367,956,816,816,255,376,541,104,
921,301,743,119,360,152,527,186,544,121,250,814,777,947,969,133,452,735,048,
083,964,981,727,670,783,970,516,617,714,123,496,725,037,447,869,488,207,573,
781,266,981,454,708,910,130,677,201,435,226,131,506,808,147,166,289,522,667,
453,538,746,951,760,192,580,111,929,102,207,360,955,863,578,880,862,691,314,
305,916,337,255,115,092,605,216,738,927,329,627,574,758,668,873,444,477,698,
395,658,435,159,454,905,286,918,510,918,765,486,904,470,494,138,245,549,537,
975,482,288,465,044,293,666,351,554,213,901,801,166,213,994,472,181,066,491,
698,215,866,186,634,188,582,042,722,344,573,817,006,835,908,183,537,645,503,
419,062,049,007,454,517,948,593,631,214,992,020,423,054,339,352,962,935,694,
736,949,590,999,762,052,831,079,795,323,163,918,235,600,307,955,317,113,670,
406,180,157,255,813,377,637,950,200,996,316,108,356,685,327,883,632,683,534,
315,343,556,397,970,980,415,645,532,699,610,988,311,876,422,102,530,088,887,
017,447,484,557,883,405,436,984,474,372,959,466,918,980,877,560,518,119,660,
104,482,109,136,504,106,974,913,408,547,124,150,448,327,883,932,041,828,615,
297,871,664,388,209,605,672,274,106,961,669,174,171,863,675,590,025,969,691,
240,294,894,791,268,584,865,667,745,352,612,610,949,159,006,810,188,829,120,
877,212,000,980,511,730,311,689,160,900,885,711,787,576,841,860,884,982,293,
286,476,568,678,823,909,000,929,911,408,451,488,934,375,768,536,218,586,667,
227,727,422,762,046,824,872,045,409,655,881,271,514,456,768,665,617,984,068,
634,298,888,469,150,360,860,308,582,201,315,229,487,326,998,282,881,085,668,
295,792,097,972,116,214,273,429,176,777,377,807,752,770,476,529,587,661,102,
017,047,111,790,362,329,565,275,098,517,084,453,429,736,768,618,123,323,049,
620,664,616,614,366,643,732,349,690,908,725,019,412,820,586,235,684,898,373,
947,565,871,853,559,584,210,689,069,365,387,355,969,403,190,519,331,064,384,
123,045,059,307,353,236,078,395,604,464,131,168,312,243,597,460,914,926,436,
196,299,808,687,100,943,414,090,784,484,551,700,654,370,768,383,223,097,989,
181,553,856,581,978,294,910,166,813,900,939,081,297,870,008,941,083,817,425,
058,333,483,720,613,699,586,053,735,266,784,623,003,562,253,325,710,496,383,
816,011,694,131,308,120,330,362,783,478,008,026,563,947,150,661,751,901,342,
355,312,574,281,570,631,609,615,810,094,182,646,988,470,615,594,105,905,515,
248,237,357,635,013,955,444,699,153,886,032,157,701,985,310,566,266,509,971,
363,807,247,668,898,150,076,225,873,035,887,439,871,630,044,938,600,433,253,
879,238,192,696,412,416,126,983,862,444,377,631,033,837,289,333,205,411,751,
020,617,246,322,094,319,427,917,473,657,823,528,210,444,835,699,682,607,410,
720,878,646,002,172,636,584,321,426,032,476,887,757,588,655,858,735,681,817,
443,789,113,775,712,409,141,379,968,984,528,242,380,385,787,418,221,183,726,
538,271,327,532,630,932,645,047,620,883,703,078,780,015,105,006,095,809,849,
861,959,769,195,638,050,293,361,005,170,203,854,246,594,666,965,264,117,172,
442,155,466,274,786,413,369,018,309,814,241,167,077,476,376,465,268,528,390,
322,725,431,145,177,115,342,896,108,417,724,122,623,388,974,031,778,792,424,
742,811,408,236,675,483,383,892,147,368,379,296,174,080,916,186,403,586,577,
734,784,716,550,674,555,132,021,218,096,159,154,016,308,001,143,959,571,870,
928,322,051,548,798,353,620,706,181,714,504,294,826,137,144,568,692,682,396,
097,560,506,494,129,106,656,552,079,288,681,802,005,040,983,419,106,591,943,
442,359,306,122,345,557,859,086,119,614,953,707,368,102,980,729,170,629,230,
050,777,684,804,386,351,419,927,325,362,848,862,512,799,498,597,528,023,324,
138,373,161,938,598,059,042,829,861,577,821,038,439,324,989,772,881,350,516,
527,246,189,497,805,724,879,187,515,256,763,709,787,840,615,007,809,660,551,
784,834,939,696,056,350,941,750,038,063,488,941,638,454,481,374,603,550,539,
649,641,202,442,504,018,621,837,770,098,086,527,713,282,655,381,690,895,069,
959,179,610,743,812,677,074,984,853,865,475,240,614,454,477,131,086,080,998,
591,144,041,686,631,980,124,045,655,175,421,897,635,524,742,749,407,399,030,
251,350,106,056,661,334,809,543,221,882,301,816,024,910,083,764,538,874,732,
168,080,927,386,901,553,725,687,925,209,423,548,041,914,668,562,804,183,683,
336,032,627,069,021,259,793,546,590,393,944,826,502,944,325,467,396,419,793,
290,976,555,362,887,316,630,697,061,669,105,788,863,762,338,100,636,217,026,
011,257,993,014,262,921,550,170,309,432,048,729,356,404,513,679,826,867,951,
241,342,598,263,835,461,628,142,262,918,109,588,197,850,655,545,918,879,546,
384,400,754,200,368,494,474,131,559,914,000,657,734,657,544,856,746,472,537,
682,179,772,819,962,308,443,699,286,368,544,830,534,519,404,606,534,670,161,
114,133,210,999,956,629,294,267,878,110,317,771,949,684,537,833,452,073,550,
457,595,885,534,201,929,215,424,488,684,271,884,340,874,356,168,743,662,349,
298,701,698,749,261,293,211,940,341,610,907,617,616,875,765,869,557,169,385,
921,919,262,724,082,377,862,658,289,543,926,035,978,030,359,922,874,337,814,
786,297,989,860,651,302,423,426,420,879,305,128,231,067,157,462,260,016,646,
712,459,615,670,421,579,942,463,809,979,500,315,367,753,493,664,330,503,312,
495,117,709,042,134,311,077,305,859,081,159,222,939,359,446,446,836,846,832,
613,269,397,945,386,090,997,079,577,934,509,069,826,753,083,803,126,647,702,
713,540,043,449,112,578,030,763,856,287,975,657,391,417,540,405,635,647,432,
954,965,824,123,301,819,638,828,371,682,532,620,220,315,198,249,773,098,742,
717,894,039,622,281,207,116,109,786,176,125,799,349,395,166,580,217,128,661,
335,766,849,571,367,683,421,422,285,267,129,703,110,277,689,017,028,542,632,
766,374,655,903,029,060,889,684,773,243,868,850,482,626,396,721,348,488,212,
275,739,153,686,436,991,430,769,437,091,735,918,912,292,813,361,771,329,056,
704,239,308,143,663,919,451,075,641,134,777,750,232,701,823,096,628,274,402,
756,131,200,569,351,636,277,419,709,868,624,954,186,261,050,899,530,421,179,
382,008,172,717,861,013,888,343,537,990,246,772,061,556,662,589,720,347,122,
502,941,131,159,950,951,204,247,657,942,064,372,417,001,635,699,407,656,492,
159,627,095,505,163,818,841,199,596,796,874,336,261,906,226,832,464,231,859,
146,682,701,266,658,036,013,571,775,571,527,222,566,910,063,730,664,510,125,
698,606,246,083,328,590,812,820,811,711,750,425,607,034,557,601,895,219,486,
806,837,362,338,622,211,376,199,697,321,201,429,006,928,294,635,506,218,913,
570,130,935,848,513,028,025,923,293,812,226,444,277,679,572,296,115,263,412,
803,438,340,140,446,622,874,898,374,339,760,858,567,689,581,976,323,186,993,
174,622,842,328,889,894,352,807,714,642,440,342,773,831,393,590,124,148,538,
216,564,027,841,501,754,693,227,519,605,767,424,593,576,168,772,693,874,849,
271,955,124,677,176,410,039,892,358,631,483,170,513,957,967,425,415,882,926,
113,244,521,701,319,961,734,994,154,621,397,323,351,387,472,153,018,047,348,
966,019,020,316,915,223,501,923,584,625,361,195,903,696,156,560,029,044,360,
555,051,048,128,903,677,218,855,024,862,076,970,006,138,581,203,840,967,691,
898,335,338,940,593,654,785,473,531,675,091,241,142,416,426,627,256,120,221,
790,875,336,756,582,811,653,679,171,436,664,981,146,408,991,009,498,011,223,
983,980,828,717,229,881,896,104,803,946,404,368,672,543,050,867,881,321,395,
146,489,958,605,274,584,237,989,987,261,657,811,433,415,604,284,250,843,304,
148,595,132,927,752,314,359,688,049,521,095,523,800,960,883,654,219,893,735,
169,307,689,513,523,577,153,028,272,403,024,803,926,102,020,334,214,205,631,
912,691,711,049,487,088,351,647,801,805,009,492,468,354,337,081,776,757,414,
997,880,734,116,462,597,642,464,810,002,268,013,662,131,796,577,931,387,941,
056,383,408,535,877,182,921,989,779,587,284,004,316,820,879,720,826,951,860,
230,026,116,019,738,817,646,662,975,676,441,852,090,509,724,107,768,278,243,
753,547,623,129,786,048,320,552,192,543,619,617,345,899,598,218,217,220,009,
068,939,101,232,470,830,494,462,088,547,137,147,035,027,628,869,848,362,689,
301,253,021,494,024,555,123,732,103,716,667,059,829,732,182,698,648,800,198,
457,146,084,606,090,496,840,536,988,929,926,927,132,869,139,391,039,895,429,
170,649,410,776,940,802,847,720,319,845,967,829,499,601,403,990,880,277,004,
091,523,512,012,390,894,874,572,756,594,576,685,159,689,178,123,875,661,414,
288,177,349,472,136,948,061,521,836,192,492,383,699,349,624,208,487,346,048,
226,487,084,542,381,339,367,516,777,747,333,053,978,114,667,612,885,818,593,
087,614,664,112,280,057,080,269,150,635,743,353,281,158,154,712,538,693,239,
880,053,540,009,718,111,224,253,397,557,844,365,950,146,578,614,532,413,316,
006,633,386,041,538,493,386,327,670,607,512,589,063,664,332,985,356,870,596,
855,805,606,286,663,721,272,287,985,562,487,292,525,072,435,454,963,348,938,
537,405,914,981,486,982,006,900,953,888,236,589,967,084,446,948,921,913,185,
741,934,590,070,369,060,749,673,653,875,051,369,173,975,411,228,425,094,046,
896,252,161,670,147,250,393,156,878,235,562,824,730,037,236,465,050,999,737,
750,890,797,613,808,351,952,325,411,100,129,485,115,866,575,789,806,677,123,
551,532,727,352,170,541,462,527,158,545,259,499,464,690,507,770,750,677,746,
683,812,870,805,905,794,182,302,657,793,617,417,942,195,546,420,536,161,353,
957,872,059,553,372,700,328,001,312,824,294,901,703,066,785,607,435,616,909,
532,151,682,728,164,085,893,114,351,776,574,289,472,691,278,520,870,884,526,
668,438,100,549,797,897,186,790,082,404,579,629,649,410,894,293,628,965,255,
444,922,104,637,646,549,693,732,141,952,291,663,539,920,974,776,459,648,607,
768,456,561,777,082,819,980,877,279,033,232,406,007,110,535,790,466,176,311,
329,668,970,589,043,069,750,551,564,000,633,422,925,674,861,990,248,506,278,
294,607,611,163,332,753,241,006,171,628,372,995,092,838,751,677,951,400,303,
492,460,878,742,515,644,437,907,509,611,020,617,710,345,436,534,482,598,503,
847,282,335,948,143,941,081,560,491,185,754,236,658,838,745,339,251,334,883,
101,429,351,090,240,803,132,047,140,942,511,036,628,982,776,640,787,487,855,
243,262,876,598,563,940,698,051,591,317,148,669,939,762,294,207,205,010,915,
032,126,069,522,546,642,320,036,094,002,765,351,857,209,960,575,282,371,346,
457,961,593,361,257,590,036,673,535,058,467,206,432,345,227,886,054,214,970,
261,171,339,056,881,706,315,344,479,895,589,181,837,491,918,294,557,340,714,
092,893,746,459,914,321,029,875,326,274,801,360,106,007,753,772,045,145,632,
812,816,624,433,108,471,727,768,675,850,592,877,770,044,000,631,907,469,285,
791,503,513,557,897,700,053,055,257,808,615,056,917,945,337,684,260,152,918,
669,967,709,813,959,361,882,313,390,703,479,537,797,448,659,854,280,341,261,
158,861,832,402,530,938,011,290,214,429,643,640,754,038,033,811,295,444,729,
093,648,327,834,501,331,610,699,441,110,565,515,117,970,618,810,800,126,404,
210,899,811,219,413,948,109,953,429,225,954,548,163,396,176,884,946,276,887,
734,701,436,479,681,670,232,555,030,386,692,720,682,581,002,975,404,876,925,
408,296,126,024,864,680,114,438,910,995,652,966,630,167,056,675,984,963,715,
178,878,350,600,630,224,144,367,360,915,432,378,584,447,819,668,741,177,623,
402,949,956,680,587,100,710,073,273,833,980,930,562,858,990,860,186,960,190,
811,285,903,671,609,290,286,930,658,816,637,897,572,477,631,772,843,552,113,
870,866,090,891,763,693,557,984,929,562,691,860,580,879,992,738,903,113,885,
154,926,971,158,668,320,460,986,369,602,777,969,192,951,188,245,441,441,159,
513,527,777,348,451,319,069,847,409,565,858,711,011,244,653,582,055,456,971,
754,196,850,032,105,385,115,715,573,392,137,792,357,838,598,219,243,752,492,
782,368,680,337,326,273,772,682,563,469,842,802,512,779,880,204,992,910,400,
898,794,443,607,254,403,443,598,086,135,540,237,622,159,038,590,432,057,822,
484,237,077,504,969,134,015,610,037,942,613,294,480,954,301,073,396,042,844,
304,207,776,936,491,378,388,669,683,663,873,639,803,954,351,215,748,146,774,
789,702,291,450,701,400,126,537,841,335,288,845,418,179,869,122,680,887,531,
914,356,409,027,524,890,910,669,999,370,661,896,869,454,007,767,056,606,326,
857,484,041,230,615,463,006,950,115,106,780,264,265,658,448,306,774,387,631,
244,717,665,826,630,191,751,744,325,236,874,294,359,583,785,201,785,541,021,
046,983,011,727,106,483,780,318,738,212,995,088,716,728,135,484,622,391,246,
779,390,931,716,141,118,060,465,940,413,570,596,923,703,393,700,156,862,267,
755,316,133,675,439,847,007,597,281,471,817,016,040,818,372,405,756,780,640,
428,436,367,795,203,279,437,020,102,660,588,317,643,528,714,235,641,596,640,
210,349,807,411,434,539,418,584,646,034,782,609,867,819,200,602,287,061,238,
800,995,687,875,377,644,207,848,119,217,956,854,550,531,698,942,495,873,187,
074,550,898,342,677,523,499,380,543,308,737,214,960,717,574,699,737,720,988,
297,382,984,420,324,187,111,975,651,798,332,407,229,914,779,748,380,879,125,
153,465,318,854,790,286,231,352,859,206,411,665,984,868,534,855,025,805,301,
012,358,256,213,502,062,445,691,067,498,488,196,072,886,486,829,586,887,038,
830,043,211,768,271,045,528,374,049,015,470,471,484,545,942,344,122,040,334,
527,800,203,025,055,889,525,800,509,698,584,005,099,769,816,685,863,718,514,
407,893,737,112,628,406,477,025,601,915,718,629,147,895,913,775,591,542,719,
057,910,173,630,379,400,251,321,814,575,828,959,922,933,788,674,161,707,447,
087,945,791,764,511,793,841,389,495,652,493,508,957,737,025,299,025,472,979,
935,443,295,048,417,458,535,041,608,793,444,297,006,658,949,158,901,417,486,
228,829,905,304,867,918,513,337,656,203,071,477,508,664,728,789,365,242,721,
352,766,331,591,121,583,990,647,689,244,021,912,637,129,198,654,277,892,151,
623,290,619,842,329,011,403,175,822,078,788,534,092,617,365,140,892,192,594,
735,952,974,791,834,202,756,312,968,143,115,617,027,101,765,120,968,447,526,
909,492,670,606,202,428,439,875,112,745,439,558,940,626,345,435,421,304,480,
013,061,898,794,640,513,317,079,938,116,023,315,115,900,985,574,271,306,469,
576,449,375,018,076,311,316,807,156,580,682,614,067,744,097,213,113,856,020,
552,007,978,448,319,210,111,327,084,346,937,572,264,574,610,811,289,075,236,
440,754,181,449,614,104,401,371,694,933,260,744,370,183,697,559,170,388,766,
895,191,391,400,246,385,532,198,914,104,347,932,533,185,390,091,577,906,582,
114,696,343,693,131,528,768,987,384,847,787,912,598,847,182,779,853,849,460,
042,469,798,064,199,730,791,171,893,965,945,280,830,566,044,075,469,458,850,
502,681,524,674,785,408,726,506,886,768,817,358,804,859,740,559,065,888,820,
216,716,693,174,465,935,137,582,749,782,149,714,851,129,849,035,473,866,874,
602,579,912,238,394,769,805,739,141,959,503,699,809,536,166,910,728,074,848,
593,274,584,003,823,235,048,715,367,145,870,647,922,011,474,154,828,383,072,
529,507,593,848,079,408,644,947,050,540,803,980,282,353,898,002,083,972,755,
709,989,753,650,157,410,156,798,524,355,676,232,402,067,059,950,105,733,943,
746,039,211,878,611,766,214,227,724,193,085,745,543,802,386,741,784,188,838,
822,991,628,594,434,727,936,869,662,951,371,620,937,553,398,214,084,621,395,
262,017,438,715,305,030,337,857,321,819,711,927,059,898,114,883,634,694,343,
487,946,443,943,893,255,609,110,701,686,813,769,958,223,997,766,320,369,211,
500,013,545,377,214,486,310,898,052,359,697,424,100,805,555,317,412,685,117,
220,068,891,380,572,586,974,522,556,686,298,871,766,860,626,121,193,378,566,
712,134,838,304,785,172,166,853,969,335,513,919,146,148,203,872,792,333,266,
495,822,150,507,941,282,766,221,808,232,332,954,175,451,138,302,920,972,641,
924,137,236,297,744,898,539,176,736,303,134,156,823,852,744,267,289,521,290,
499,397,603,214,054,453,722,695,738,377,504,774,241,645,102,840,631,559,290,
653,974,102,932,921,962,079,187,389,071,809,660,852,106,735,384,492,693,000,
709,964,036,869,557,351,019,404,545,057,170,244,629,955,043,435,878,076,102,
034,330,599,906,930,590,487,255,456,725,819,803,504,764,311,353,340,423,900,
390,028,188,610,516,110,296,675,918,529,590,526,484,603,904,591,526,828,573,
843,902,754,113,531,519,797,073,883,416,459,879,351,247,979,438,828,783,634,
714,399,633,107,179,091,129,327,651,240,536,897,694,576,039,599,080,962,397,
465,947,254,918,376,154,164,717,863,367,443,948,195,505,975,850,518,072,463,
594,779,056,479,854,030,776,518,927,950,831,000,584,623,259,149,768,065,524,
759,083,819,762,445,785,506,402,202,618,205,654,442,708,278,752,687,773,807,
405,862,076,647,821,412,783,270,423,779,512,952,070,291,995,506,367,068,288,
182,261,818,467,635,969,283,548,018,180,043,545,198,971,258,090,162,091,737,
425,832,963,404,297,065,277,749,134,060,236,184,683,541,820,552,357,672,660,
330,707,176,580,454,508,978,542,798,261,650,256,390,799,431,478,391,719,755,
816,360,383,415,467,930,806,965,555,973,841,313,300,115,836,195,097,912,921,
126,983,207,381,719,122,423,335,646,130,788,175,076,600,177,969,322,262,571,
744,747,282,163,439,505,946,593,827,232,296,836,563,159,631,727,108,787,180,
594,125,681,883,513,387,407,843,647,044,884,010,433,862,590,812,823,582,576,
195,085,263,325,677,513,117,095,392,340,650,645,238,434,778,301,940,110,130,
766,845,399,760,657,741,170,695,230,564,834,443,221,811,615,005,131,194,171,
393,006,839,889,026,231,087,515,276,897,636,531,249,502,546,496,110,043,142,
836,797,902,250,168,417,268,666,556,333,501,490,407,596,601,551,042,055,285,
441,307,317,993,789,519,114,196,208,160,881,052,655,895,795,788,764,177,783,
358,546,599,917,969,707,735,927,179,423,285,714,632,336,941,032,325,935,428,
791,479,421,468,575,750,184,985,811,697,749,949,949,410,342,697,062,048,312,
739,648,269,866,833,775,759,736,075,243,680,948,523,386,195,079,762,206,472,
821,209,391,660,126,328,638,550,176,916,756,874,368,042,882,547,849,059,511,
267,242,857,534,317,311,879,819,282,692,093,357,138,675,952,696,457,170,175,
553,069,052,909,112,642,332,794,806,133,560,146,460,415,345,364,294,775,289,
003,994,645,262,818,589,427,225,098,190,196,885,920,685,557,760,062,393,096,
910,025,068,363,814,938,556,602,058,026,412,950,900,932,216,753,921,540,084,
695,378,259,091,346,628,018,603,727,945,791,520,522,088,412,059,901,766,567,
070,526,127,358,312,204,298,201,291,840,167,781,712,984,601,453,267,576,451,
092,408,348,103,686,409,162,324,968,759,528,562,084,435,847,690,422,762,920,
465,666,945,813,494,248,297,756,290,714,927,562,503,380,043,571,124,682,154,
921,851,045,341,638,264,115,939,114,665,742,105,799,789,950,320,804,651,101,
626,586,084,907,741,475,095,777,907,567,801,676,382,935,048,501,982,613,319,
134,298,366,388,194,688,842,568,916,845,184,615,463,989,470,145,226,354,162,
664,210,066,067,575,999,169,358,935,633,885,511,931,325,039,428,119,984,447,
699,101,249,157,144,986,859,019,389,371,713,243,500,709,848,995,211,551,698,
523,483,930,937,399,692,335,378,384,540,381,904,421,993,161,182,494,814,429,
851,359,568,013,761,817,730,042,306,605,136,837,422,825,464,166,006,682,570,
427,018,067,740,443,210,163,076,946,620,956,456,938,745,915,294,199,069,595,
541,851,305,341,116,621,758,634,009,500,511,793,181,346,161,175,416,738,085,
155,171,461,186,280,835,333,183,550,763,355,994,186,910,912,163,205,159,594,
264,652,098,498,597,158,046,318,445,708,153,315,951,190,790,393,816,834,858,
402,522,166,986,370,616,781,696,417,324,669,576,014,114,176,376,489,328,875,
661,250,411,698,845,535,806,475,721,638,207,722,232,429,477,341,718,077,139,
677,536,365,200,573,767,704,073,390,909,509,076,789,980,245,287,840,711,961,
944,368,450,005,329,472,189,821,034,611,402,249,312,317,389,116,564,490,635,
289,792,993,341,792,412,220,798,018,329,762,773,076,413,541,137,493,812,215,
154,664,356,716,127,717,570,168,704,584,308,665,166,024,540,239,539,188,913,
055,161,244,606,841,186,536,194,076,132,421,767,753,895,728,757,165,819,599,
599,071,215,903,526,110,743,448,804,112,865,365,006,615,147,174,388,431,513,
597,873,341,599,416,394,899,750,608,917,469,772,022,942,184,707,681,464,497,
291,575,044,830,178,018,142,546,652,152,392,937,750,531,541,141,924,015,483,
374,270,018,987,131,774,773,957,316,503,458,256,935,264,457,945,063,101,764,
674,735,301,796,321,841,178,236,081,617,060,549,999,223,162,408,110,330,038,
766,808,190,899,831,969,630,115,020,306,708,516,508,676,012,864,385,329,844,
812,484,171,843,155,992,823,656,677,915,258,421,277,938,915,722,943,904,940,
683,234,017,208,195,010,434,913,674,167,524,559,957,929,890,807,954,706,404,
110,506,523,249,593,681,219,791,490,168,324,637,239,290,392,221,469,211,291,
816,263,664,245,837,954,368,585,638,103,660,510,354,491,682,124,169,666,370,
145,901,797,066,180,300,883,862,329,501,714,930,307,086,876,125,073,269,546,
779,363,843,401,410,013,861,211,644,933,464,251,357,204,255,428,333,015,937,
986,034,408,873,749,466,652,684,922,113,207,815,014,160,383,514,363,384,288,
969,083,545,370,405,479,134,894,569,890,576,774,624,545,983,857,965,037,889,
439,295,900,697,941,309,280,669,560,130,997,841,424,966,022,069,556,250,271,
283,502,195,749,290,987,346,570,926,540,322,798,521,131,930,019,743,595,555,
327,355,804,005,729,471,135,316,871,601,196,234,659,842,204,425,565,934,353,
995,093,911,792,466,853,845,142,007,416,806,250,270,846,794,456,042,553,751,
685,023,972,317,259,312,234,429,007,554,594,534,435,639,711,071,047,829,699,
406,797,270,688,798,846,150,639,021,121,681,793,218,614,673,767,426,955,560,
547,242,004,377,762,511,376,780,348,214,540,183,428,339,942,817,759,023,321,
430,813,284,944,905,350,423,280,928,641,071,326,992,833,716,225,379,738,656,
747,989,003,079,655,864,986,333,592,067,216,723,112,942,134,565,753,924,061,
907,645,821,533,196,544,681,077,864,158,913,899,248,700,445,198,313,195,483,
487,092,195,726,168,552,563,372,266,437,163,719,378,746,602,710,404,073,267,
782,526,288,132,980,116,420,045,794,277,404,574,975,459,796,100,952,763,723,
232,514,430,374,535,106,600,899,110,362,865,749,044,763,429,762,693,970,859,
318,678,689,691,698,355,245,965,698,348,269,810,650,843,036,117,008,620,977,
230,068,277,473,431,368,945,839,688,980,256,454,794,662,049,741,236,427,897,
092,514,663,758,288,727,738,725,486,757,756,799,663,863,294,128,542,801,840,
495,867,226,457,399,397,812,898,909,145,358,806,543,973,230,053,230,834,774,
924,406,702,951,653,040,740,204,380,615,116,046,388,566,147,426,106,005,212,
699,348,362,867,648,627,446,995,827,899,875,457,292,656,675,195,903,995,243,
193,859,077,494,458,550,290,449,283,388,423,556,024,446,624,027,416,201,795,
733,738,329,059,969,185,812,289,145,333,388,467,620,108,312,685,117,346,727,
300,813,765,110,558,659,923,764,829,630,496,567,124,901,413,590,947,304,629,
751,720,592,006,697,135,223,294,043,694,727,481,075,084,502,435,443,610,859,
510,667,985,080,149,264,976,647,852,810,548,368,640,980,248,974,666,566,516,
430,680,939,359,615,802,542,495,878,559,297,831,988,616,750,109,137,691,212,
591,126,235,315,845,498,756,663,580,396,075,347,223,542,946,203,260,351,304,
031,557,954,241,634,547,692,951,063,562,506,681,012,165,334,331,050,690,635,
285,881,434,015,327,606,784,107,440,621,030,393,027,501,500,992,638,956,440,
426,495,867,525,182,866,128,001,246,858,677,247,012,630,607,878,352,741,946,
883,080,495,733,203,989,433,122,076,674,630,130,653,093,005,051,950,199,661,
806,459,347,940,780,525,332,880,927,227,213,359,948,328,567,762,508,926,345,
720,805,279,378,570,790,317,655,199,947,060,838,079,005,543,441,373,902,577,
532,955,366,187,942,106,739,871,260,785,274,967,206,974,140,725,262,756,634,
459,474,066,040,841,691,066,780,325,322,347,688,012,344,838,271,266,590,362,
645,239,274,276,381,740,340,268,181,091,377,243,294,877,192,261,084,524,143,
793,270,033,054,298,221,298,979,908,088,490,509,665,496,615,079,150,560,432,
213,079,255,184,427,803,039,658,719,074,901,648,230,838,060,810,436,628,545,
545,751,327,712,400,792,128,853,897,191,849,108,461,200,255,725,632,030,050,
927,941,269,013,507,038,299,231,474,876,131,380,561,639,227,562,332,990,676,
727,788,001,685,019,385,907,895,676,433,505,025,540,592,892,735,760,381,959,
947,349,605,792,752,783,667,833,720,500,646,549,513,894,029,210,124,846,380,
417,986,825,200,371,126,586,244,257,370,195,271,522,861,559,970,831,477,126,
077,354,247,446,001,407,804,049,634,282,498,916,114,111,288,235,075,491,587,
388,592,388,543,774,033,217,658,067,030,863,690,347,739,236,305,344,405,665,
925,754,957,874,632,440,767,166,423,144,101,417,454,307,708,597,821,342,889,
461,354,585,258,690,026,901,303,660,376,423,522,315,584,619,290,593,590,576,
397,114,647,520,509,681,093,848,001,238,714,884,672,346,213,406,148,061,936,
724,096,368,358,561,594,326,052,419,508,667,312,578,348,736,334,464,175,670,
575,936,133,394,642,306,319,555,624,799,975,767,545,533,674,283,551,922,539,
831,728,633,929,779,689,454,633,484,783,295,919,931,501,889,724,810,658,290,
621,477,468,883,478,730,682,284,182,619,013,943,002,245,190,699,068,856,911,
859,651,711,013,519,121,513,364,313,843,812,675,699,813,121,697,853,010,553,
794,458,229,711,838,090,620,303,190,674,436,560,161,833,186,293,964,323,072,
600,557,734,657,119,870,467,792,594,850,125,895,117,835,406,281,733,490,876,
880,798,864,444,792,928,792,507,468,988,947,309,681,952,266,944,996,487,318,
064,434,023,670,406,283,916,292,266,981,090,241,392,106,760,603,139,733,361,
518,739,217,716,517,057,407,057,374,716,369,620,744,399,451,724,446,969,917,
501,274,028,690,928,232,068,771,703,494,311,331,133,513,352,599,116,121,309,
080,853,160,017,768,707,796,162,122,477,292,498,826,265,198,558,154,822,634,
081,662,424,201,476,891,501,180,896,296,788,644,403,469,698,923,172,772,611,
868,438,638,032,615,383,147,732,406,384,469,277,118,735,173,388,666,219,029,
245,519,125,560,394,179,841,442,995,968,235,739,047,402,108,766,564,536,001,
633,621,466,269,406,333,071,862,354,847,224,772,547,439,792,080,366,617,654,
127,142,723,054,162,222,796,270,585,823,596,301,745,024,683,254,604,269,152,
369,646,571,987,201,727,310,556,915,203,816,817,231,006,130,011,060,658,109,
473,820,330,093,556,786,903,954,214,314,305,362,443,498,560,002,034,163,302,
794,374,269,081,635,254,673,641,657,778,580,343,362,478,340,385,958,588,278,
643,579,909,132,997,699,050,261,161,821,792,638,475,136,110,849,522,934,618,
533,929,010,078,426,511,253,045,593,226,793,334,546,829,269,272,636,802,983,
095,220,391,299,074,457,216,202,143,692,844,860,989,953,249,361,600,534,584,
136,694,184,894,594,917,547,907,010,714,554,199,497,060,381,710,635,159,531,
959,027,642,126,434,742,458,518,449,114,959,968,003,778,104,796,209,908,991,
893,379,283,546,878,684,389,028,139,911,390,491,443,055,856,081,043,625,735,
733,044,587,803,414,654,649,842,047,638,224,608,395,200,202,546,710,044,009,
560,630,977,476,618,971,033,938,994,151,060,414,564,089,147,483,312,127,327,
286,883,421,671,103,776,940,585,822,973,812,655,925,004,652,703,445,785,751,
320,502,857,248,622,721,347,211,339,293,753,242,452,389,573,206,862,609,092,
510,186,410,096,033,622,821,004,871,971,366,361,758,775,815,683,356,454,335,
816,128,536,629,635,751,094,166,851,741,416,770,524,554,765,379,276,833,816,
083,856,705,384,932,819,632,576,250,083,723,681,058,844,448,673,740,795,912,
711,831,239,540,224,541,371,586,256,083,061,708,312,518,169,005,212,831,909,
418,979,485,559,755,185,064,775,487,226,155,043,261,352,592,689,479,130,677,
186,254,596,550,100,633,417,499,762,047,592,625,422,055,476,606,849,826,278,
886,047,771,416,406,729,363,003,441,095,831,210,237,049,739,726,563,806,115,
826,375,479,848,808,862,320,224,406,730,174,048,409,472,455,028,052,753,673,
407,831,962,157,312,645,006,501,229,494,026,560,735,125,358,863,268,335,328,
219,847,537,617,317,257,046,032,146,876,798,053,027,244,260,854,700,095,714,
415,178,373,678,756,579,250,671,693,974,161,638,189,872,362,829,363,563,697,
568,742,127,805,406,962,907,334,779,477,081,397,029,170,305,954,936,308,874,
152,517,573,640,740,307,123,651,667,455,110,688,627,252,186,284,511,230,750,
731,795,154,289,779,838,980,238,741,643,042,404,476,824,765,133,963,147,689,
108,283,726,413,733,392,223,014,001,263,899,999,340,166,616,706,742,229,538,
665,262,535,276,147,975,898,602,595,140,068,743,453,366,316,589,544,240,760,
828,994,201,129,996,444,436,703,073,879,760,936,746,414,740,257,282,155,006,
962,354,211,805,657,188,731,203,457,562,898,186,480,564,733,705,083,487,341,
860,142,308,763,285,834,430,942,744,623,750,363,880,240,198,889,536,740,624,
146,221,523,745,290,516,700,534,552,096,189,278,507,386,720,526,841,124,334,
711,386,756,746,746,208,499,330,661,399,643,915,295,163,055,442,799,199,503,
798,063,722,073,697,669,773,243,341,410,911,418,714,219,202,397,129,444,936,
767,147,680,441,163,384,322,111,620,541,932,829,886,339,060,870,392,766,264,
592,401,067,013,487,243,633,062,399,691,864,337,684,524,217,719,558,558,974,
328,096,539,001,393,554,275,634,253,026,499,268,014,707,821,797,361,150,983,
178,411,171,240,583,170,484,886,240,526,033,141,774,286,780,386,892,647,888,
868,704,560,945,642,406,896,610,231,068,088,400,597,201,166,650,784,672,011,
489,861,815,490,334,344,901,617,687,723,519,513,556,947,101,091,013,187,517,
477,804,760,535,097,043,084,016,248,915,751,194,224,534,245,284,154,935,263,
456,522,723,184,757,771,684,175,877,333,550,819,100,270,607,455,087,680,878,
769,996,177,096,553,208,257,644,851,992,568,018,146,568,788,616,744,262,943,
592,246,223,108,743,347,976,380,638,098,330,203,867,818,425,915,490,875,116,
422,880,802,261,215,927,569,863,912,332,117,591,012,325,475,557,582,830,863,
710,514,283,486,482,339,357,736,370,721,910,635,910,696,420,477,189,062,474,
092,687,998,128,834,638,772,368,770,050,186,739,385,256,217,495,884,002,368,
512,846,750,513,636,033,037,928,613,027,047,488,433,018,349,074,024,448,700,
628,134,382,144,776,208,517,384,954,274,924,158,981,162,431,761,202,174,258,
481,694,535,907,547,780,555,811,902,625,590,202,196,820,189,657,534,167,151,
728,334,100,110,856,642,225,075,450,834,895,765,387,224,995,945,174,259,885,
298,759,827,488,451,814,338,108,096,662,627,255,452,958,875,424,418,919,500,
882,182,607,586,639,520,950,722,392,979,393,623,892,123,279,698,858,501,511,
550,879,522,470,254,063,633,835,348,388,184,620,338,926,936,828,190,978,620,
768,464,346,725,159,808,436,422,192,242,714,572,783,119,350,279,409,561,032,
544,337,058,054,906,953,919,396,178,833,907,103,322,224,662,525,441,236,583,
693,639,136,758,980,886,022,798,913,334,961,564,023,139,231,472,116,219,881,
212,169,907,535,861,529,737,613,513,983,170,689,875,530,378,392,953,772,600,
777,329,341,625,440,047,175,806,027,260,845,410,500,769,685,451,270,277,707,
400,635,261,297,615,142,881,104,225,831,765,779,962,873,212,039,147,602,696,
945,661,621,349,309,402,924,077,288,149,842,505,849,215,204,527,915,484,677,
319,636,805,710,802,858,442,715,523,033,024,905,707,051,833,887,841,369,578,
675,827,095,485,310,246,305,157,747,934,146,326,758,621,455,561,961,779,641,
986,625,229,645,958,996,942,833,348,279,592,675,201,315,370,527,319,144,448,
196,647,794,080,528,712,732,409,966,388,168,506,057,685,478,741,853,692,049,
504,793,779,258,243,827,355,769,532,127,177,929,750,006,397,419,886,340,042,
077,261,745,871,354,581,707,258,388,829,414,243,621,722,459,449,990,683,151,
159,723,351,978,544,781,954,249,892,959,359,426,351,527,453,041,474,287,494,
092,077,528,849,298,360,324,118,273,948,172,116,490,617,089,063,236,857,088,
626,029,003,401,989,531,396,262,872,302,449,355,769,694,839,721,104,393,047,
965,014,212,546,133,361,602,899,766,000,512,281,870,060,766,493,224,890,981,
292,438,689,210,305,957,121,039,515,202,782,096,784,832,538,636,744,691,898,
272,263,211,515,702,996,741,454,406,197,990,662,122,278,070,630,053,590,765,
915,291,042,154,689,099,514,385,455,752,907,481,402,174,261,474,141,721,047,
690,964,233,099,083,530,259,726,194,587,187,786,808,388,109,730,400,717,268,
196,594,410,553,443,606,483,802,664,839,508,524,547,510,871,518,026,832,910,
465,912,343,649,771,950,449,981,538,912,481,019,276,646,861,611,910,405,139,
551,414,598,412,430,296,887,775,540,020,539,176,990,827,037,493,903,021,260,
518,444,656,997,623,816,050,016,139,072,032,021,162,861,831,013,420,880,313,
035,580,743,930,047,894,454,855,807,239,655,345,224,341,755,733,415,118,673,
438,000,104,150,818,421,312,179,876,929,275,055,143,290,635,141,808,610,532,
795,110,380,577,982,037,380,616,248,918,609,112,113,199,973,626,987,102,067,
127,636,140,420,760,624,935,561,510,196,145,599,023,699,337,179,289,219,772,
244,143,457,480,078,025,492,309,008,201,766,516,005,851,751,774,995,660,747,
039,526,639,328,846,642,516,670,831,986,663,381,569,362,590,203,802,788,360,
862,291,091,135,665,200,199,323,314,951,716,778,862,516,496,758,279,349,255,
011,937,496,638,115,367,601,475,437,095,919,238,476,256,041,092,487,358,391,
208,452,189,169,797,761,776,050,404,899,483,097,368,194,125,517,608,213,814,
823,440,657,647,668,834,600,866,286,120,193,435,181,662,780,196,749,658,603,
470,762,202,953,537,144,740,746,541,659,693,473,370,204,426,274,717,271,684,
533,585,974,788,505,038,103,040,653,366,463,472,174,859,108,833,355,076,619,
463,142,543,309,239,235,537,838,911,149,060,067,606,142,961,462,312,230,464,
383,513,453,424,612,261,967,430,100,912,994,817,628,135,522,178,060,779,412,
685,270,914,403,731,149,412,461,910,047,601,625,452,928,907,436,362,542,483,
717,849,688,077,501,917,547,584,131,007,161,566,249,604,597,724,667,857,566,
261,766,143,019,831,202,643,567,954,639,710,607,265,783,111,412,532,804,384,
835,248,153,443,993,618,468,873,419,845,218,997,835,874,491,538,259,403,857,
160,485,282,991,789,852,712,276,779,732,130,789,813,741,589,003,770,225,602,
890,058,813,272,832,576,026,477,500,150,523,761,893,494,863,471,740,526,307,
303,927,717,283,528,396,324,510,430,511,069,786,609,263,116,825,558,905,317,
027,048,707,624,426,482,654,494,887,518,147,930,735,522,869,680,597,872,771,
896,679,896,380,377,760,036,224,761,141,730,123,580,845,958,888,751,691,134,
779,490,990,852,425,251,959,955,552,393,879,803,477,274,085,142,664,083,214,
746,807,799,865,687,798,352,970,363,234,266,143,411,041,752,995,105,191,323,
177,790,938,846,882,625,782,119,943,352,374,199,641,211,033,230,641,141,566,
006,245,599,984,863,186,388,928,910,730,305,832,270,076,266,207,276,694,210,
352,293,997,792,486,695,259,946,425,559,265,487,798,886,643,608,045,447,661,
099,360,877,417,199,449,777,669,251,574,167,929,233,153,230,571,559,539,887,
596,296,864,575,665,213,349,831,153,080,081,885,752,614,700,687,517,272,612,
690,345,146,967,897,413,675,851,247,064,260,914,899,094,911,951,277,367,608,
753,503,479,742,304,837,834,591,245,488,822,039,935,530,333,783,862,466,871,
427,024,516,825,203,854,362,012,979,102,451,864,680,066,786,389,111,691,130,
723,862,536,622,194,233,831,103,487,505,837,989,777,448,701,454,091,387,211,
955,003,145,862,447,649,046,054,152,705,647,072,834,261,452,384,871,779,618,
793,961,235,685,129,109,705,224,151,738,880,727,827,869,178,572,250,334,768,
461,305,507,494,259,197,661,926,809,576,205,590,205,194,913,773,645,815,788,
231,520,603,465,144,636,848,853,076,464,387,369,672,901,378,348,591,095,789,
710,332,069,194,284,244,742,350,715,528,993,999,054,952,529,108,506,237,701,
917,482,886,285,776,064,876,473,369,305,608,829,086,525,690,746,356,313,534,
250,345,874,367,697,944,207,815,742,670,387,060,996,413,627,099,721,778,077,
253,882,112,328,967,977,825,359,689,408,861,120,907,154,943,564,768,034,572,
436,189,950,386,530,500,638,207,748,230,077,365,896,482,136,694,778,362,280,
188,097,441,047,215,888,032,990,965,365,944,760,426,508,925,879,203,919,088,
026,378,193,351,669,465,514,413,762,146,279,173,535,533,595,703,737,364,956,
358,828,053,379,176,500,328,381,955,682,646,106,904,075,647,416,071,650,554,
404,687,996,286,167,755,498,583,738,372,651,342,105,918,410,228,146,624,721,
645,814,841,036,471,236,007,772,440,060,230,486,299,970,420,627,437,880,177,
851,922,387,468,085,823,294,000,885,209,582,692,259,901,556,808,525,898,034,
970,884,902,797,100,016,681,772,557,868,753,078,171,204,050,342,052,439,272,
951,484,718,316,818,471,469,734,022,086,282,482,397,172,961,888,773,487,623,
526,418,335,618,269,961,601,365,854,151,391,790,753,868,423,335,753,854,956,
349,815,881,659,921,154,901,640,696,297,326,443,272,733,845,158,645,067,077,
684,304,729,234,931,611,960,933,815,603,979,790,955,983,272,493,202,511,926,
164,318,330,036,240,370,969,024,038,063,929,259,305,742,714,623,638,043,964,
000,081,287,277,179,378,331,557,378,684,349,541,255,376,406,691,010,916,725,
066,221,552,657,146,561,607,485,959,896,025,699,325,527,786,109,674,281,397,
922,889,068,878,892,328,708,080,947,790,422,325,695,386,387,492,818,674,206,
644,614,997,015,506,426,936,958,052,499,373,113,273,874,977,994,152,106,417,
078,270,644,533,000,114,164,004,292,925,833,603,011,492,260,034,163,299,960,
420,858,891,674,868,853,846,597,425,975,716,140,298,606,551,979,434,764,526,
182,733,014,214,931,699,666,845,036,636,144,736,651,015,107,529,086,167,938,
432,956,474,300,023,086,641,422,129,031,972,272,726,272,982,187,952,969,656,
330,993,260,731,974,910,037,631,301,988,802,329,116,706,228,492,265,124,187,
367,941,886,306,218,971,591,807,664,271,840,422,342,455,891,082,343,621,118,
117,567,766,521,394,850,909,771,972,268,985,009,643,714,373,641,002,902,818,
587,159,144,650,975,895,583,799,090,094,455,947,102,015,900,684,076,411,559,
694,165,688,963,937,373,864,269,501,373,842,187,487,335,781,856,559,293,514,
855,015,835,681,412,794,848,837,096,685,381,566,360,083,449,142,734,108,868,
063,869,232,298,375,643,635,060,021,586,477,952,168,714,291,035,541,910,006,
326,625,446,240,729,858,143,813,443,327,884,956,486,226,139,542,107,934,546,
794,589,334,147,594,319,371,976,962,864,548,494,783,796,930,015,355,103,454,
000,467,070,421,560,580,886,122,872,847,783,083,931,526,256,546,519,021,854,
161,952,705,423,385,016,446,950,589,358,455,084,561,505,612,548,363,529,391,
986,749,806,750,199,715,247,730,723,362,800,531,564,773,004,005,774,441,992,
725,980,069,068,863,603,194,643,435,894,860,942,611,886,081,427,568,816,025,
715,940,894,432,835,959,253,797,053,960,106,231,861,062,561,522,672,573,001,
550,974,062,470,488,309,106,324,299,864,978,121,811,715,390,872,948,409,363,
489,552,029,056,213,901,464,384,326,588,424,869,590,942,430,581,277,639,544,
417,143,519,930,771,953,180,605,140,855,369,742,397,578,877,402,634,744,627,
341,880,301,280,837,450,745,753,744,380,944,279,384,499,087,680,947,053,073,
772,133,768,084,006,815,502,214,881,531,479,870,326,836,871,202,583,777,625,
640,054,458,808,651,681,761,687,889,918,546,806,803,585,764,941,849,312,569,
904,117,918,678,315,948,564,635,054,433,806,537,203,100,542,663,440,921,855,
656,490,860,374,672,204,141,492,115,997,934,613,409,968,647,179,186,866,716,
646,328,238,718,526,637,034,145,836,908,071,074,671,592,470,754,509,679,521,
741,956,138,759,238,801,203,002,475,986,706,506,637,997,251,293,634,027,882,
682,579,846,687,779,304,734,216,028,626,833,008,478,362,463,533,765,951,156,
223,745,616,401,217,951,325,917,026,678,991,940,684,386,462,897,736,730,676,
132,914,321,236,263,086,552,861,664,804,234,116,827,259,118,268,347,466,280,
218,681,404,222,225,002,922,327,426,995,280,197,874,450,624,799,162,385,293,
347,154,391,854,874,181,896,816,538,533,607,172,980,965,724,307,496,720,613,
978,487,249,837,725,370,045,765,925,333,019,582,141,928,072,051,030,149,900,
408,372,006,874,336,381,382,512,284,369,343,634,650,953,605,811,753,903,046,
139,882,292,234,776,202,410,975,721,577,756,043,251,170,680,502,107,997,732,
611,398,308,402,206,316,699,566,857,360,371,730,373,448,069,123,099,964,628,
630,409,388,383,412,556,431,521,271,794,746,943,419,157,125,498,164,618,963,
476,193,340,878,325,142,332,950,901,765,997,125,247,343,561,052,686,508,525,
834,387,909,513,478,254,972,197,232,509,806,658,816,818,730,762,343,832,203,
967,196,076,647,112,610,747,277,411,185,453,065,449,100,629,836,933,257,830,
095,440,612,148,164,734,138,047,067,275,587,364,147,575,076,569,494,863,340,
538,639,562,196,499,055,468,799,653,921,558,946,560,963,017,041,797,403,236,
085,660,365,945,910,344,816,075,559,099,975,200,156,575,600,737,758,245,741,
298,185,812,375,619,027,849,643,216,198,144,272,987,374,615,441,234,209,633,
984,359,357,912,616,783,340,226,993,673,878,624,100,644,541,454,839,662,181,
666,437,318,354,873,865,953,940,165,681,200,427,461,051,136,255,097,948,030,
463,934,890,475,341,373,207,601,738,941,501,650,227,874,286,323,347,127,643,
869,227,107,538,079,724,098,946,853,612,370,677,400,593,718,035,685,843,477,
082,593,078,018,947,543,313,610,900,739,233,837,648,296,265,625,821,677,720,
195,808,726,059,752,176,774,929,312,249,976,775,633,240,688,304,736,218,678,
449,053,585,980,206,709,479,922,985,923,352,758,074,474,497,883,102,802,168,
791,833,914,439,011,044,803,033,599,635,126,042,299,035,836,332,611,844,769,
030,077,067,729,584,300,253,480,924,966,676,275,504,937,939,950,765,718,380,
947,915,356,278,141,618,639,222,892,517,241,695,187,614,694,962,330,673,313,
470,841,896,819,802,712,429,942,404,503,280,085,543,444,574,640,832,103,450,
535,010,904,596,233,901,512,140,000,118,491,703,495,968,884,011,458,418,233,
589,759,815,359,949,427,878,460,271,471,825,988,018,569,487,584,734,536,350,
579,683,586,634,873,878,480,205,064,930,534,501,424,487,947,788,251,673,617,
005,050,683,598,777,455,254,725,723,131,015,174,305,135,094,832,511,707,505,
203,768,712,825,731,158,576,883,914,583,437,478,527,394,105,963,547,370,543,
251,203,235,607,300,797,367,550,457,473,293,356,454,039,030,212,974,197,149,
407,273,046,652,664,509,561,528,279,742,187,221,632,706,472,747,923,761,785,
973,809,361,254,318,103,286,159,161,974,540,065,453,613,056,103,912,997,265,
791,686,420,043,723,035,753,670,843,959,903,985,057,984,732,179,979,703,233,
918,291,336,951,153,073,458,133,014,954,840,603,881,598,792,848,728,152,361,
014,045,284,738,284,580,502,409,503,175,222,303,897,479,491,432,321,360,122,
338,615,373,838,799,151,032,178,139,044,105,937,379,361,673,856,855,618,369,
909,608,268,857,514,490,377,954,532,021,259,203,425,926,777,837,715,448,022,
365,953,952,428,509,914,073,716,593,896,367,806,211,011,811,906,248,939,275,
187,957,407,817,938,454,985,577,844,445,550,247,241,101,742,409,705,747,412,
583,451,809,196,787,623,983,332,697,068,343,251,858,325,311,260,568,253,140,
399,084,012,681,116,941,502,032,426,080,786,907,330,716,904,847,454,564,665,
851,492,256,648,175,556,119,895,753,631,820,414,571,603,365,242,649,057,795,
485,561,200,034,213,235,977,428,497,388,223,877,800,598,639,381,908,644,539,
417,668,203,634,977,886,537,756,527,727,265,216,844,598,076,310,791,863,130,
133,859,560,993,775,305,112,233,651,559,385,191,769,603,836,255,502,614,195,
885,531,034,562,660,632,210,230,028,189,780,566,250,750,265,968,089,124,686,
342,332,914,419,546,874,516,480,315,809,499,458,509,257,585,215,017,898,391,
414,129,989,497,315,418,194,492,266,385,860,657,918,595,899,274,836,286,016,
860,197,439,724,339,616,651,824,322,344,490,216,424,772,099,359,904,187,533,
764,104,057,784,947,182,459,794,973,539,108,441,983,674,485,945,140,259,072,
916,052,306,861,190,277,168,579,276,663,333,347,259,325,469,813,029,973,255,
386,250,253,206,065,865,043,144,750,907,603,483,631,503,585,579,164,871,142,
200,721,765,588,597,422,303,125,290,171,715,620,630,768,105,243,716,866,443,
883,991,780,000,664,237,463,285,315,014,928,700,285,984,557,593,887,568,417,
128,559,156,566,948,426,146,153,517,788,259,823,859,594,725,909,149,262,406,
000,587,080,498,741,931,031,287,826,778,919,811,367,638,035,757,507,609,092,
629,842,309,622,963,522,971,371,064,776,385,992,270,397,231,801,313,001,126,
240,726,375,918,819,757,522,125,402,084,240,131,330,723,309,631,641,043,141,
309,609,712,862,531,202,462,803,698,708,334,802,281,760,357,515,499,158,785,
305,665,690,939,717,661,793,819,539,307,319,201,964,409,883,619,594,856,032,
276,800,218,058,823,970,819,860,797,357,779,613,172,150,857,398,609,581,829,
614,116,312,194,298,803,812,860,834,479,784,847,652,914,638,953,826,652,023,
442,292,995,559,922,283,748,301,721,976,466,565,934,143,832,745,510,712,312,
960,125,746,351,014,632,842,529,237,505,727,343,650,897,499,422,422,602,125,
463,675,318,322,176,479,555,061,954,981,347,518,258,029,637,139,845,308,453,
125,151,657,178,114,118,143,264,497,375,411,645,333,754,676,573,337,547,840,
786,701,457,154,166,383,660,071,275,395,069,678,380,437,936,335,086,347,881,
106,453,628,017,517,855,097,602,604,858,846,120,468,806,579,309,932,914,823,
797,365,533,023,019,488,331,712,070,127,492,008,754,819,403,814,409,782,382,
016,391,325,813,632,270,603,747,509,455,839,695,233,862,723,518,941,674,187,
051,206,376,475,795,489,831,773,242,937,874,667,690,466,793,724,543,100,264,
669,669,185,163,577,896,651,286,127,015,678,706,552,876,518,541,558,291,800,
581,757,205,224,768,705,630,600,934,112,071,248,756,090,416,341,632,351,453,
477,039,209,904,665,376,295,526,490,040,142,623,267,496,032,408,045,293,453,
325,387,246,962,742,086,529,421,013,044,334,276,187,320,675,587,857,351,198,
545,526,655,350,218,982,960,206,641,729,159,314,213,667,666,659,029,203,276,
073,018,101,818,606,008,153,232,220,315,733,602,301,027,132,165,278,003,877,
094,138,901,616,259,109,135,563,642,095,783,988,409,541,737,078,296,076,573,
361,302,111,783,815,522,196,012,182,822,004,997,257,136,238,562,284,703,488,
576,452,138,320,152,734,671,498,134,860,864,945,591,797,549,451,009,959,047,
232,690,571,317,210,688,086,076,428,520,390,464,802,661,636,902,775,899,170,
450,018,263,738,843,835,483,025,839,743,001,743,154,882,820,290,600,357,472,
278,795,563,456,824,600,832,638,789,114,442,835,138,642,082,150,803,983,273,
648,304,689,463,169,876,912,081,256,101,474,884,713,837,869,839,830,481,949,
169,379,991,741,856,452,205,522,562,877,774,580,210,117,236,882,258,902,521,
875,451,664,796,940,197,949,841,273,514,121,996,928,563,598,683,689,858,846,
862,767,183,714,911,915,989,522,025,493,564,512,083,582,063,044,766,318,224,
881,679,448,055,660,616,971,077,295,695,025,819,130,627,986,367,914,424,774,
855,599,462,474,474,905,335,151,998,986,847,024,260,605,313,268,636,489,436,
153,249,079,852,653,213,740,178,033,798,730,029,428,144,114,014,001,619,760,
071,500,508,157,288,855,161,024,513,990,633,537,835,440,997,611,266,560,456,
359,625,899,377,290,314,802,458,352,965,905,313,386,058,177,405,434,651,444,
531,417,037,153,850,733,047,603,816,046,946,498,739,807,368,051,910,674,900,
133,625,084,185,831,280,175,386,581,215,298,899,667,607,376,935,683,096,811,
219,892,829,746,706,278,879,089,850,569,500,778,170,552,769,556,414,487,992,
836,150,939,462,732,954,515,498,938,170,127,556,438,859,378,746,845,739,591,
426,990,983,900,009,782,635,663,302,366,983,864,936,720,696,970,314,536,723,
241,721,198,376,018,415,439,344,422,364,106,108,672,573,058,630,928,110,079,
864,022,980,445,179,242,917,203,875,274,104,320,393,850,236,110,072,057,465,
941,449,536,546,298,852,009,760,949,634,963,285,208,006,070,963,416,124,801,
497,407,935,228,917,054,198,864,980,756,852,833,218,866,544,649,811,371,416,
736,077,806,020,529,756,856,179,326,430,578,062,766,001,049,217,644,271,191,
310,334,983,204,838,783,619,823,209,005,446,423,504,343,190,151,039,151,991,
821,417,415,585,691,447,383,281,807,302,173,595,433,008,052,379,108,429,862,
151,868,384,754,262,296,263,282,696,907,745,720,193,481,666,005,984,784,159,
931,633,028,289,625,883,828,431,153,300,988,455,373,861,182,588,808,490,495,
062,011,074,870,873,551,059,768,437,135,793,397,598,392,803,701,162,669,937,
150,005,997,198,903,281,338,801,693,885,968,156,331,690,590,719,724,257,840,
921,244,738,211,974,934,792,420,399,208,837,480,433,287,029,167,392,559,033,
207,077,310,184,246,849,934,781,633,813,064,205,610,368,515,822,623,129,718,
615,087,382,778,609,363,566,485,642,956,145,634,689,155,800,899,570,150,937,
922,509,221,411,684,912,930,999,784,692,850,512,639,922,005,036,012,538,670,
993,318,136,755,241,272,376,554,157,046,128,806,187,251,961,630,094,814,211,
450,009,622,264,108,943,423,158,298,188,527,707,197,415,914,745,239,098,100,
711,104,965,723,433,862,152,945,934,716,643,794,298,244,092,310,871,914,564,
825,155,933,484,401,954,902,819,357,126,488,466,915,607,659,122,357,837,346,
321,673,518,063,974,101,204,616,490,514,776,698,592,375,589,053,409,180,847,
587,525,371,674,660,236,104,208,519,770,091,736,499,850,856,389,828,431,107,
653,554,206,620,617,140,169,079,256,832,389,583,781,999,849,287,784,415,254,
031,195,348,633,914,894,564,401,764,178,183,769,878,808,436,142,635,094,618,
902,528,126,559,044,443,003,882,847,317,192,488,933,127,828,606,175,718,249,
100,183,441,811,589,825,276,819,269,358,003,582,534,938,258,323,164,007,893,
583,483,197,897,463,487,669,115,649,929,261,379,444,707,098,747,298,905,804,
161,203,974,318,843,507,286,248,060,468,478,310,541,052,327,599,099,090,622,
795,911,255,762,028,489,927,099,336,592,969,297,318,820,079,238,223,833,315,
206,383,815,389,152,181,183,163,341,235,302,437,885,050,522,686,858,593,951,
607,861,971,421,729,082,901,201,945,812,898,958,762,683,241,301,146,575,143,
969,393,617,918,851,651,895,364,262,633,085,531,967,801,677,120,450,671,707,
069,418,335,370,961,479,318,425,097,312,501,434,695,686,735,108,435,825,195,
072,094,731,039,350,056,178,103,083,330,046,373,530,485,426,973,848,322,605,
391,220,174,639,716,054,684,178,603,825,956,111,417,704,054,198,996,451,030,
729,555,848,860,809,244,619,680,155,806,356,236,134,183,547,890,888,051,644,
516,288,872,140,150,385,704,426,014,125,779,374,915,422,057,505,803,765,356,
847,906,636,586,470,150,637,323,286,463,111,001,573,848,169,344,109,230,802,
627,154,771,376,554,486,449,518,357,616,709,237,931,141,491,028,060,665,153,
510,391,048,688,211,680,022,023,497,268,671,893,100,109,457,376,681,174,245,
760,238,124,891,784,141,978,265,272,190,993,585,912,731,236,031,682,129,157,
566,263,474,822,537,555,854,859,284,509,589,899,361,813,360,344,214,950,416,
315,845,060,538,908,724,404,323,751,727,525,820,317,700,289,267,971,216,855,
343,572,849,317,816,287,587,481,975,974,465,150,053,798,731,911,374,463,249,
529,406,088,777,448,404,418,590,828,300,789,778,829,900,621,545,125,334,971,
393,997,780,165,094,787,654,099,269,078,290,372,286,034,066,281,080,171,529,
657,368,795,785,784,018,588,631,598,895,176,654,478,377,241,674,082,454,910,
727,648,839,114,350,735,188,670,206,528,316,023,247,801,045,503,796,893,464,
435,909,660,427,766,061,695,953,136,328,056,749,248,781,815,688,408,941,418,
886,314,369,053,545,815,391,185,061,556,356,630,411,174,174,947,207,468,013,
612,600,839,552,230,844,514,228,093,822,172,498,753,780,093,835,026,400,466,
863,647,098,243,576,296,631,380,783,039,935,216,211,156,081,369,425,541,179,
263,887,638,911,066,215,215,550,559,198,405,217,934,613,587,633,581,321,709,
746,775,157,404,832,339,114,874,439,575,905,393,663,308,431,290,340,927,716,
977,563,364,797,723,683,968,995,944,898,911,654,346,350,671,593,058,308,369,
667,766,065,482,940,648,276,405,102,649,073,215,600,820,983,872,139,762,436,
203,318,050,811,646,844,693,434,423,250,336,382,672,457,638,481,726,242,950,
941,980,758,006,632,637,417,244,232,779,069,787,653,546,314,729,099,851,075,
928,046,061,316,611,312,648,879,799,649,086,046,494,796,753,360,304,977,507,
210,809,859,589,592,990,229,932,385,673,798,652,243,720,936,661,955,707,733,
824,413,427,643,024,245,955,069,350,558,992,939,505,264,489,856,208,897,761,
495,448,893,405,597,182,423,255,005,857,855,409,447,524,053,344,153,058,413,
569,006,927,209,865,141,011,942,252,474,598,491,243,599,205,550,780,635,118,
689,998,371,341,015,370,722,382,655,171,821,186,768,483,340,203,715,029,716,
422,173,112,144,020,421,621,510,939,170,988,506,409,093,761,027,417,099,911,
691,415,009,478,846,096,807,420,074,431,534,843,585,972,694,463,336,497,828,
535,725,298,655,898,656,803,116,254,091,429,793,722,781,367,232,897,268,509,
078,473,576,348,507,333,903,859,720,720,055,168,475,112,352,400,022,241,466,
888,806,164,465,390,356,208,720,013,145,293,596,350,289,380,229,543,091,678,
566,432,387,154,072,966,473,882,292,675,234,985,230,326,503,894,562,068,671,
819,793,693,836,362,405,100,312,677,582,827,843,068,590,667,679,876,439,396,
158,380,169,498,781,802,361,803,551,989,151,413,286,850,916,365,869,587,503,
623,769,070,107,873,142,187,176,936,665,565,248,168,525,808,606,311,902,034,
303,713,287,889,681,991,900,072,442,651,276,100,731,140,068,748,414,880,946,
483,731,873,275,422,040,588,673,197,387,326,987,084,062,831,223,811,623,096,
869,910,268,092,542,579,223,460,414,336,539,323,997,469,337,006,852,993,168,
239,550,156,878,906,207,588,726,761,810,761,356,871,375,467,584,967,821,453,
673,194,748,441,220,308,407,944,987,070,241,127,905,954,790,603,177,587,702,
933,356,859,700,091,817,610,055,030,763,901,872,727,075,364,873,994,491,950,
066,623,523,660,286,716,995,565,435,487,792,115,423,333,740,135,207,625,390,
849,241,914,951,944,642,195,389,903,323,994,982,443,328,671,143,149,048,791,
087,922,715,853,176,424,091,983,543,278,231,088,632,717,296,131,477,741,256,
369,900,398,705,094,651,522,253,367,046,773,101,702,411,364,640,400,596,463,
478,175,669,480,230,086,294,562,942,549,952,640,491,339,551,445,433,025,115,
720,392,261,560,208,344,156,916,666,187,298,714,896,590,840,212,068,108,492,
997,085,100,985,251,265,698,736,637,631,879,955,232,457,350,980,812,943,935,
848,059,808,590,752,171,627,561,751,851,444,757,595,920,226,387,746,081,376,
766,987,225,575,776,548,165,104,589,147,145,298,039,262,138,305,680,826,080,
071,922,312,842,056,655,238,383,843,395,571,211,660,808,815,252,963,966,318,
795,730,898,626,643,073,503,272,675,633,400,466,547,325,898,304,044,128,788,
134,064,978,442,959,501,000,915,432,831,979,173,821,885,534,760,788,171,970,
990,752,155,350,342,475,907,499,579,607,868,398,078,139,213,925,376,644,366,
978,838,208,096,882,874,489,272,676,893,508,053,247,343,759,913,538,799,403,
139,675,579,545,583,878,942,920,189,730,430,842,336,470,189,564,822,067,893,
753,707,423,405,620,194,136,814,378,452,905,782,108,054,551,232,924,680,255,
303,939,713,765,272,773,029,257,051,940,304,153,848,708,327,651,732,193,591,
465,998,272,976,189,498,787,562,652,429,299,317,390,660,233,567,377,892,621,
009,644,035,625,523,650,655,743,413,629,696,403,295,602,582,107,591,422,341,
803,706,071,135,087,282,402,207,144,229,745,988,837,372,536,616,801,286,665,
191,972,668,491,946,663,074,852,032,978,807,477,111,585,523,049,330,168,664,
534,230,383,141,003,103,376,310,050,381,837,286,076,133,770,773,177,425,313,
947,434,710,534,879,581,851,716,043,900,899,321,126,143,071,942,123,713,294,
735,227,620,350,129,526,456,615,947,812,504,483,271,404,766,507,315,694,557,
864,532,778,677,949,193,815,343,672,919,689,467,916,101,676,413,452,746,537,
036,323,638,235,963,240,748,373,532,247,633,522,162,865,116,168,330,892,083,
998,611,678,753,798,356,197,928,390,337,893,209,860,019,627,294,583,373,429,
112,027,648,528,723,305,944,509,751,116,769,515,126,726,426,690,261,516,967,
072,173,541,037,602,699,146,263,226,536,327,115,611,675,700,597,394,705,394,
041,074,126,379,798,441,130,468,708,635,654,015,579,219,372,818,608,954,166,
636,557,296,859,011,279,152,039,058,975,053,118,604,157,986,559,332,190,578,
577,813,666,564,497,740,845,243,314,912,974,305,482,001,412,715,278,236,470,
430,336,210,149,407,544,612,446,548,933,613,076,694,688,884,635,834,050,949,
696,907,945,442,959,521,306,721,403,000,158,053,892,621,164,996,970,820,124,
032,194,588,145,102,451,831,172,231,790,684,817,356,231,123,810,495,659,128,
631,049,362,367,010,623,509,289,195,064,082,428,562,624,957,492,770,614,246,
210,143,446,041,812,495,657,788,260,722,782,317,257,629,954,891,078,038,556,
097,559,936,356,746,221,698,940,291,595,483,510,845,879,545,903,435,601,239,
154,286,805,541,375,909,161,906,398,189,582,959,595,074,706,624,341,156,230,
693,299,914,321,711,185,585,867,128,816,984,836,998,839,798,199,032,309,294,
214,126,137,275,595,936,734,824,336,096,811,746,799,271,877,073,403,102,086,
144,559,638,019,343,729,962,281,046,791,723,637,935,428,483,641,884,259,103,
325,929,282,148,473,040,910,693,220,143,045,131,571,428,805,415,404,367,902,
052,953,269,813,348,114,956,717,013,254,404,708,638,363,463,410,408,589,168,
840,933,186,206,631,780,439,730,479,642,653,435,166,914,525,118,310,541,679,
025,264,022,056,552,970,903,023,781,023,869,460,527,831,494,435,141,171,518,
207,945,523,628,432,691,754,666,126,472,633,964,287,436,291,446,981,764,971,
398,723,279,986,266,665,853,459,419,326,823,859,293,284,164,814,321,718,906,
750,794,643,438,034,729,860,421,450,736,230,608,123,547,712,170,762,161,881,
453,415,665,291,772,674,859,207,750,647,876,644,303,463,886,739,973,980,926,
733,089,491,405,520,727,538,407,676,852,979,590,513,130,572,585,466,698,196,
051,874,690,485,622,811,961,633,966,440,075,302,616,561,157,507,809,046,256,
979,552,211,963,706,182,820,455,316,123,852,702,022,745,095,266,235,991,689,
847,490,007,485,613,844,818,748,089,542,762,033,544,815,443,560,300,524,865,
312,599,627,389,811,649,272,992,912,275,750,918,442,899,801,105,578,028,064,
101,449,243,626,892,266,253,815,563,569,951,281,321,486,687,929,001,984,460,
276,421,842,343,568,751,749,614,811,497,441,992,884,611,757,705,074,328,608,
115,181,180,538,342,334,583,911,090,222,731,370,789,617,939,005,190,718,085,
612,425,617,582,294,522,802,305,145,289,654,021,208,394,909,852,573,688,533,
969,194,642,731,319,277,962,176,674,406,985,087,799,352,153,629,282,013,712,
433,842,962,133,131,686,909,988,156,500,798,833,247,516,621,462,300,156,773,
149,209,798,527,126,305,217,754,917,263,960,459,940,151,459,876,964,728,401,
544,401,395,464,513,249,334,158,347,100,391,027,623,837,022,783,944,889,362,
860,889,185,136,884,651,843,529,066,652,600,168,504,996,315,395,803,441,480,
378,717,632,008,874,816,311,383,571,123,814,587,378,182,360,860,082,907,115,
402,564,137,381,373,209,198,991,484,543,034,233,325,441,116,460,154,177,132,
566,509,441,448,230,118,299,814,794,441,605,669,741,636,527,339,507,224,355,
501,273,136,481,232,457,111,134,567,730,244,803,265,649,974,626,016,717,209,
135,051,089,551,567,973,453,287,179,698,157,364,813,534,930,751,807,541,691,
051,084,642,333,894,322,458,039,636,194,405,470,381,378,067,706,377,552,372,
786,924,557,609,311,085,436,060,596,254,389,643,392,586,995,831,846,380,887,
324,657,660,291,503,985,460,138,915,431,952,724,189,718,333,475,948,655,900,
853,285,105,829,519,023,762,883,090,748,251,863,400,589,432,443,488,661,289,
138,601,338,658,524,859,256,319,834,636,435,812,895,971,135,504,441,285,262,
217,570,078,867,965,205,266,928,605,255,730,064,310,859,457,936,549,051,427,
715,258,101,721,316,506,265,927,279,466,443,108,630,749,209,252,309,963,502,
876,892,509,651,957,850,452,995,802,941,940,548,136,466,339,305,110,568,087,
610,451,252,396,605,753,831,183,283,895,771,706,326,796,785,403,656,600,783,
760,857,226,916,304,232,435,376,604,549,797,223,732,991,905,790,846,808,166,
097,814,490,980,567,363,525,037,214,063,468,609,987,088,008,769,584,534,915,
624,253,076,258,119,445,890,486,797,203,611,654,267,975,051,101,494,102,031,
009,352,737,188,609,608,970,226,327,279,843,057,573,475,812,912,433,154,991,
122,846,102,066,900,180,371,019,196,209,187,257,504,588,711,930,363,046,479,
339,472,253,640,856,308,704,275,869,382,151,203,240,437,365,151,027,477,978,
413,706,031,266,913,044,936,400,676,447,915,767,389,186,165,903,037,363,792,
073,357,046,854,141,580,564,234,613,029,957,743,159,942,859,332,557,780,430,
158,065,369,622,001,095,860,703,741,241,172,896,791,443,446,678,996,657,567,
767,645,026,254,152,690,496,200,878,428,106,393,701,984,500,862,550,825,976,
525,880,964,253,692,336,672,844,617,179,977,002,511,172,041,975,872,832,944,
957,208,505,467,006,149,671,981,873,729,786,173,513,167,667,605,427,878,161,
114,524,339,651,957,602,362,425,432,287,870,099,177,302,192,764,236,559,036,
201,571,565,764,115,504,822,117,367,184,613,430,471,563,806,285,115,399,044,
331,693,840,091,832,162,703,163,848,000,081,856,318,903,600,784,507,266,718,
878,533,337,371,379,938,706,013,889,005,206,038,454,254,644,993,554,073,365,
303,886,820,102,457,718,881,370,465,352,038,581,187,210,731,873,309,914,566,
339,665,967,601,029,202,833,762,549,597,001,281,943,967,263,006,983,154,144,
155,807,812,270,805,883,245,339,580,195,102,559,505,611,611,554,674,571,469,
822,153,620,551,837,492,468,192,098,560,765,147,064,250,080,717,885,457,374,
059,617,560,686,350,373,674,837,770,192,296,164,312,566,196,755,189,040,098,
212,594,792,295,104,152,156,116,559,459,430,686,940,385,545,211,107,000,613,
806,617,241,053,913,438,292,175,604,925,732,796,798,973,562,038,203,704,055,
413,194,972,839,652,422,378,663,092,365,101,058,109,096,547,733,245,071,336,
196,265,173,082,870,285,450,211,968,535,429,756,005,539,623,099,437,297,934,
423,771,480,965,233,477,712,876,136,652,324,036,519,931,916,518,996,318,322,
148,516,386,503,702,539,747,992,607,379,296,212,293,850,030,049,083,480,304,
916,993,532,411,266,009,224,570,026,434,357,889,866,571,717,559,188,502,228,
112,395,225,968,582,084,899,295,862,487,644,961,580,939,541,014,361,028,484,
745,227,300,738,679,275,314,605,178,811,095,477,109,731,318,035,071,268,173,
232,914,160,540,792,199,506,933,162,552,365,776,923,603,536,505,814,724,997,
079,147,486,869,300,278,623,890,432,498,820,688,339,045,090,096,673,645,370,
305,575,250,585,338,580,983,983,648,765,855,226,693,408,901,745,046,203,292,
729,274,652,633,747,925,104,244,369,050,948,378,186,668,660,176,559,828,901,
564,168,836,433,491,985,643,466,796,229,448,057,424,040,965,356,104,374,332,
510,353,592,608,716,944,788,235,622,865,698,372,325,122,342,660,136,435,340,
627,667,620,122,380,423,262,855,530,628,697,668,704,842,277,924,981,548,938,
245,078,116,974,557,110,049,251,287,375,509,466,151,797,563,196,876,598,670,
374,809,346,380,540,742,059,453,406,129,468,810,002,434,448,024,754,617,204,
885,004,398,538,759,979,479,932,696,162,061,749,037,815,088,965,030,607,560,
034,553,212,124,139,519,179,912,009,141,831,632,175,492,979,394,537,660,240,
102,805,542,236,098,846,246,963,570,966,888,345,381,027,706,678,141,187,777,
084,114,189,821,938,558,754,271,797,194,026,516,392,778,362,715,996,239,857,
257,026,455,298,460,804,131,163,432,585,571,473,776,289,419,247,067,589,525,
510,410,698,399,788,782,782,488,744,654,537,517,043,075,737,953,278,318,683,
999,239,969,052,988,058,433,820,719,068,288,240,851,439,530,018,110,352,048,
833,003,544,078,785,392,040,559,950,067,489,394,402,250,290,029,596,464,828,
662,090,393,746,390,054,063,227,896,590,895,645,448,244,078,500,619,734,653,
826,853,560,713,088,856,629,567,348,588,622,837,948,202,252,294,369,165,700,
182,708,346,200,630,940,511,136,986,006,780,455,247,339,109,990,224,301,449,
910,069,328,482,958,714,988,942,641,069,382,612,142,629,752,187,359,671,341,
676,232,348,078,285,156,199,401,581,837,240,391,612,786,831,319,760,896,173,
230,161,647,526,218,177,562,024,346,948,441,945,402,088,012,825,437,706,165,
756,430,485,517,045,780,869,037,652,309,758,842,869,831,783,621,788,912,740,
771,207,915,515,159,604,964,090,661,212,929,972,457,502,566,149,538,423,387,
773,915,641,505,924,040,952,265,438,524,635,251,955,987,730,638,386,901,907,
723,737,778,188,374,665,711,462,324,436,123,310,031,991,828,015,486,995,265,
215,874,923,371,471,263,086,468,941,122,318,130,396,031,786,626,891,908,432,
604,007,871,031,733,362,977,231,155,738,825,150,470,027,620,836,986,298,447,
282,637,011,821,418,519,654,466,818,071,435,323,035,407,667,273,085,689,414,
633,544,347,712,774,021,790,677,238,386,009,196,865,837,138,475,235,986,870,
629,729,788,990,161,936,109,697,734,627,458,585,119,393,284,607,751,847,264,
170,404,714,459,893,159,250,507,046,340,613,200,665,692,407,710,754,353,074,
462,085,259,479,868,735,495,469,445,091,844,034,543,979,226,946,450,242,438,
535,374,026,155,366,515,045,844,816,801,200,910,329,251,455,004,240,952,601,
557,251,798,907,966,509,494,141,964,843,917,481,963,298,226,003,085,654,014,
314,663,149,695,233,618,356,247,970,957,616,070,186,372,232,997,224,867,958,
811,343,601,144,266,027,675,394,948,655,545,548,007,013,183,594,916,867,232,
271,061,360,709,733,869,042,401,375,449,728,138,714,250,473,437,950,633,087,
707,218,092,433,812,905,637,158,724,704,162,200,190,565,924,071,449,372,837,
433,332,835,606,259,881,565,777,394,433,779,335,038,559,881,396,231,640,708,
550,762,349,017,881,062,631,709,674,233,022,095,399,404,419,709,049,761,827,
582,367,114,252,923,001,947,432,773,468,532,720,884,714,142,056,642,105,903,
820,875,604,224,611,479,731,467,045,427,015,491,982,556,083,623,751,368,153,
850,124,681,099,893,968,105,942,601,072,259,277,828,256,876,708,441,360,752,
652,044,540,659,805,165,034,788,932,477,626,234,171,897,752,241,199,816,387,
754,054,822,064,152,454,178,955,639,912,955,152,117,623,396,623,437,517,843,
806,020,709,517,712,358,784,851,841,915,829,295,965,791,387,787,863,681,657,
912,560,693,663,717,260,307,376,787,504,982,900,611,592,274,152,824,917,952,
744,012,339,736,074,845,685,634,299,195,016,854,873,526,564,870,428,008,784,
796,158,588,217,093,379,103,521,083,932,011,450,825,701,322,186,730,520,133,
234,007,433,347,156,346,251,930,121,551,831,800,962,766,135,156,845,789,274,
685,069,079,228,372,611,700,748,167,207,593,894,287,014,302,215,005,752,466,
157,675,872,138,827,028,333,675,080,391,572,963,837,790,981,759,652,711,996,
663,858,631,764,778,947,055,711,339,214,808,051,133,777,017,203,032,146,382,
584,723,145,568,924,781,749,491,104,184,746,458,939,261,652,466,148,192,146,
461,796,853,692,060,659,538,348,637,535,661,160,610,499,881,459,844,189,772,
865,430,678,442,446,399,596,067,926,482,045,939,694,838,566,413,131,538,725,
172,551,372,805,817,626,595,455,823,362,491,906,191,718,091,763,881,059,560,
215,155,162,245,741,395,262,765,055,922,062,063,587,255,152,478,515,901,300,
138,714,177,922,574,414,495,244,071,896,829,690,831,279,418,618,672,325,099,
446,632,190,857,403,809,410,621,281,266,796,483,093,736,846,548,772,291,016,
177,389,102,383,534,668,599,287,447,652,911,336,756,299,604,937,647,543,471,
675,860,762,004,404,268,412,744,067,481,039,494,587,975,486,981,522,496,684,
505,713,457,938,195,354,820,733,268,409,186,227,872,657,224,620,463,836,655,
613,640,823,955,517,489,084,089,268,342,992,910,353,918,303,421,395,162,977,
743,803,256,652,769,215,332,780,500,433,002,040,097,224,117,774,640,038,667,
727,833,371,298,129,775,487,817,459,961,080,673,917,102,044,141,582,965,495,
985,840,553,848,407,433,584,997,089,557,264,837,526,961,668,889,881,994,560,
002,232,454,238,731,200,467,609,307,474,251,272,605,826,908,399,347,205,650,
142,176,664,365,902,552,326,445,179,678,311,589,925,566,469,274,929,743,538,
402,984,845,767,914,572,175,333,302,827,769,564,629,224,197,477,268,761,575,
101,466,178,495,340,240,383,923,788,784,345,448,317,497,054,554,040,477,311,
644,100,100,842,360,357,137,597,596,900,563,487,852,665,012,958,308,434,739,
125,510,691,720,295,318,695,529,768,054,969,554,003,128,296,034,170,618,040,
581,267,873,495,363,383,003,195,450,072,040,571,664,031,629,121,336,716,803,
630,423,369,842,502,765,684,751,441,817,976,628,276,135,209,352,950,461,779,
995,784,675,464,524,554,991,765,500,228,913,887,578,425,358,292,674,762,605,
957,118,398,606,139,549,848,608,806,520,103,805,807,267,401,542,738,080,654,
877,167,531,440,268,931,106,950,796,369,048,915,020,707,008,226,562,064,568,
649,966,247,291,328,316,053,900,564,052,404,265,751,087,194,763,960,829,624,
605,520,475,579,240,014,203,836,736,964,951,421,663,639,674,945,058,169,825,
346,650,231,973,649,288,003,558,589,575,081,932,950,245,550,033,582,037,177,
388,666,603,076,759,000,282,924,886,655,016,848,167,973,748,291,972,366,695,
720,213,549,061,708,971,404,455,945,925,051,399,446,293,561,550,288,186,116,
697,418,771,780,398,485,013,074,509,118,642,573,387,072,832,064,243,194,004,
904,364,276,656,961,265,348,847,126,958,402,339,679,986,995,831,534,268,379,
656,940,675,004,432,124,647,645,268,568,942,626,894,237,806,755,070,210,376,
667,021,548,101,197,406,647,741,056,627,894,823,595,640,488,083,471,195,865,
593,153,774,400,976,832,971,518,903,751,542,960,777,497,531,066,241,191,340,
133,688,685,542,847,224,994,541,094,361,590,306,824,205,218,355,862,367,314,
199,621,721,428,320,657,305,763,310,643,838,281,008,123,985,872,444,875,766,
230,669,599,348,884,702,142,218,976,532,767,326,416,041,023,499,103,814,738,
119,007,415,070,713,713,922,898,316,437,841,236,658,987,810,541,809,502,254,
255,590,916,398,466,454,628,936,125,860,898,089,060,694,893,275,013,222,410,
626,717,367,968,518,640,575,656,354,101,385,778,756,020,551,423,897,221,499,
396,433,255,199,752,548,525,930,505,141,878,548,380,464,137,985,553,374,471,
323,840,624,452,541,632,174,342,858,186,611,615,560,777,400,665,173,523,142,
382,179,612,405,761,786,941,333,049,453,516,109,780,672,600,488,612,062,249,
363,845,345,174,723,998,037,440,455,520,657,583,877,494,053,647,290,929,278,
948,053,753,503,470,081,721,581,132,584,584,996,180,093,256,704,041,480,744,
188,594,454,297,605,788,398,204,433,929,406,583,131,527,094,827,572,999,084,
972,761,911,781,543,674,957,353,707,079,368,871,082,859,847,868,965,448,806,
007,011,558,854,599,091,673,336,707,593,997,968,891,524,961,745,464,016,313,
140,322,691,104,601,241,286,399,352,008,389,530,746,421,017,080,292,174,707,
597,086,355,770,723,843,448,336,396,451,857,940,967,187,050,070,165,370,477,
555,615,254,568,264,896,179,830,393,158,177,813,974,238,262,442,401,902,267,
356,363,794,566,042,422,774,370,440,869,388,853,618,518,447,799,552,419,309,
382,458,436,051,992,281,471,618,959,451,030,283,627,615,933,027,436,045,447,
116,672,250,630,356,676,431,788,122,343,519,285,208,935,708,277,549,144,558,
195,528,621,957,707,458,733,793,338,870,514,573,377,230,130,140,478,201,670,
367,389,012,135,874,892,599,736,010,209,308,198,578,555,154,597,201,992,738,
840,895,482,889,421,074,166,929,983,898,618,958,476,183,971,794,485,335,126,
224,815,711,210,118,468,985,403,530,423,000,633,474,587,220,406,934,612,284,
707,952,881,353,766,437,771,199,431,351,679,381,556,440,851,903,703,429,055,
145,906,963,800,925,398,357,013,958,916,849,500,092,280,255,903,802,845,299,
631,455,798,499,847,941,679,999,530,858,258,729,827,269,072,075,288,846,419,
064,239,921,737,777,751,628,899,027,521,528,529,119,231,957,490,441,937,616,
595,514,389,410,101,543,584,676,880,155,038,609,874,108,032,661,498,805,549,
674,175,553,181,720,420,095,042,661,783,508,354,910,485,231,777,830,159,687,
909,518,050,990,575,084,490,136,257,896,767,509,205,310,110,874,532,935,607,
464,619,843,667,400,505,897,954,019,243,944,940,242,428,108,287,562,337,132,
802,535,917,029,896,957,812,001,780,152,476,581,457,037,359,297,252,762,877,
080,431,987,189,887,290,482,017,743,030,940,046,054,603,454,245,088,170,033,
190,088,765,571,183,264,030,055,473,578,905,710,762,043,526,013,244,765,293,
576,666,963,836,994,427,623,331,635,831,986,011,888,119,809,946,477,673,078,
510,325,401,868,539,039,255,766,979,579,853,059,747,259,030,582,822,244,597,
205,647,081,177,707,918,396,672,668,513,010,343,042,196,380,347,091,753,777,
968,327,707,846,961,347,492,667,066,394,270,861,425,452,398,652,719,139,594,
475,970,027,431,958,501,847,550,615,232,667,210,624,426,434,616,597,362,838,
586,995,017,155,070,392,548,379,523,051,879,902,085,280,767,303,212,605,777,
198,290,693,458,920,619,864,852,180,466,642,619,809,944,669,699,915,021,978,
261,520,113,336,038,077,696,200,877,407,361,691,328,077,201,839,575,403,094,
997,751,530,801,805,197,665,880,844,996,747,518,456,455,879,067,267,490,939,
649,860,787,776,925,143,741,954,030,597,214,798,282,616,159,703,659,299,757,
551,549,913,748,035,877,535,840,857,888,268,396,196,914,858,873,970,511,639,
729,313,116,966,569,444,827,883,553,165,396,031,929,701,765,685,269,439,465,
928,685,246,342,507,132,616,160,965,248,625,876,146,835,576,779,927,408,682,
189,510,585,600,309,713,779,943,601,107,449,560,353,726,648,479,111,281,059,
578,157,811,016,304,385,443,809,722,632,084,437,557,112,604,371,897,035,854,
708,426,951,539,854,731,286,505,263,985,065,739,992,274,744,751,705,490,741,
468,282,736,813,623,321,848,247,649,830,167,699,136,574,282,095,712,939,550,
245,323,993,915,327,000,770,519,785,496,868,399,192,857,669,747,526,260,599,
931,686,165,295,957,873,299,386,651,822,277,216,479,765,499,682,011,727,871,
747,724,126,211,936,610,301,574,685,993,357,138,376,175,702,551,946,642,794,
079,840,052,843,115,886,598,265,732,140,695,769,037,814,805,118,532,371,111,
847,168,125,886,038,342,371,590,027,451,429,835,062,196,011,753,244,739,406,
941,530,188,982,253,659,934,024,402,398,420,777,649,705,070,450,393,640,042,
169,121,008,421,029,636,380,655,582,719,678,418,222,714,267,099,435,456,612,
713,917,708,450,112,146,672,380,406,382,310,378,014,815,481,874,410,480,334,
927,477,930,263,804,445,792,588,198,464,377,369,547,891,909,665,387,019,326,
478,411,478,966,225,503,686,387,703,815,384,171,924,793,817,335,720,043,454,
030,016,909,466,924,283,907,950,218,829,267,171,691,855,218,933,978,917,319,
246,452,305,338,816,952,394,298,703,017,068,387,826,582,436,782,563,178,696,
137,347,490,496,791,026,036,659,976,643,667,849,788,657,436,585,423,335,009,
185,589,032,274,430,040,779,291,631,795,145,967,249,187,147,902,125,399,698,
206,105,820,319,491,106,027,608,244,981,502,577,966,470,520,670,689,058,601,
621,497,448,574,179,011,245,573,484,327,471,745,383,153,415,952,339,923,804,
950,631,001,335,245,675,312,495,035,347,672,463,578,878,086,231,548,575,525,
012,250,637,018,585,530,617,706,722,547,653,145,961,509,907,708,488,796,759,
610,959,328,190,717,061,435,391,891,113,019,892,313,720,425,458,910,320,277,
530,766,074,358,633,442,205,158,047,661,731,438,702,329,192,362,441,193,963,
084,189,633,323,395,195,993,438,892,533,831,165,153,091,191,231,936,641,529,
525,161,565,560,843,744,951,204,512,374,240,000,410,705,087,357,351,773,651,
216,731,791,528,157,711,967,817,375,340,272,651,569,243,415,016,746,741,552,
943,455,596,983,277,197,517,874,987,942,167,785,098,834,724,279,729,659,841,
755,892,360,828,291,324,795,650,721,092,655,632,034,492,331,695,215,748,023,
549,652,405,421,114,488,432,247,009,067,384,545,776,441,516,711,157,160,703,
252,727,427,058,438,388,305,459,287,923,529,437,700,802,206,347,596,646,006,
865,766,228,141,688,969,004,144,207,408,508,277,928,545,440,892,786,418,363,
676,387,935,445,496,158,467,396,663,149,204,719,016,397,708,403,579,137,608,
334,702,059,702,477,933,146,796,694,363,502,123,396,174,841,891,410,778,312,
002,321,078,163,919,970,900,847,956,772,871,904,351,280,405,896,668,995,466,
276,112,368,237,974,732,119,494,968,768,327,555,436,389,307,304,373,607,352,
936,916,880,102,452,987,295,681,774,464,979,043,596,420,591,221,508,066,080,
122,614,327,412,403,735,102,449,415,064,935,600,675,220,192,301,780,215,460,
301,205,405,759,653,692,252,293,737,431,447,832,200,244,599,523,606,278,379,
231,044,410,816,356,347,160,547,084,069,963,831,943,375,540,715,947,918,436,
694,959,191,272,203,202,090,597,378,954,050,697,895,672,861,950,914,422,639,
221,828,052,809,621,893,218,964,719,641,655,310,599,097,237,452,163,077,340,
410,689,087,059,616,496,928,658,351,058,878,723,826,663,537,009,332,195,885,
069,572,431,666,059,910,270,879,491,440,869,114,567,608,780,082,553,469,502,
343,539,621,254,282,958,803,226,992,553,341,951,046,749,683,866,875,052,923,
281,337,203,065,874,917,846,245,627,389,907,187,151,928,309,388,860,514,495,
010,079,889,380,121,106,112,858,555,392,138,447,580,774,384,235,132,296,618,
669,277,837,186,471,027,212,390,259,120,075,939,548,273,791,185,317,688,120,
733,539,855,397,302,188,740,645,085,758,537,396,935,188,945,689,726,779,345,
133,345,950,951,713,092,299,069,593,846,377,090,694,860,020,861,247,336,162,
400,965,586,219,474,723,648,861,487,066,168,363,581,701,818,212,530,275,979,
874,389,185,026,317,298,463,966,126,097,101,369,573,481,207,028,615,924,277,
461,110,574,453,405,700,569,096,147,187,635,266,520,918,471,576,460,317,342,
300,351,910,295,870,708,120,813,662,922,958,115,114,003,847,438,227,844,146,
735,543,534,412,097,401,530,097,222,449,727,204,663,983,624,606,050,352,831,
911,641,209,183,709,831,476,301,015,113,859,773,407,862,211,488,379,531,512,
389,793,627,083,834,432,451,715,623,048,419,658,858,133,529,273,683,476,744,
186,832,293,833,261,112,273,029,054,015,083,724,650,576,117,001,375,454,620,
151,850,335,066,917,278,039,921,039,487,970,599,905,604,562,391,221,363,242,
872,310,168,678,457,743,219,615,370,957,176,002,460,621,568,406,305,107,418,
007,537,726,234,132,241,643,783,134,850,296,736,817,116,816,204,054,642,545,
273,970,213,787,649,971,796,919,212,757,995,611,506,049,718,799,871,099,867,
372,910,722,681,153,659,892,797,302,781,093,436,643,800,756,845,457,406,945,
456,968,001,799,520,087,011,292,366,730,493,962,922,601,963,795,859,477,573,
055,374,486,777,153,450,195,085,169,389,805,288,678,766,798,205,466,156,518,
830,326,394,110,438,780,206,437,018,574,300,430,803,492,203,834,039,800,629,
751,014,609,043,390,904,386,388,315,894,254,832,515,523,641,415,613,778,591,
495,359,989,692,190,380,256,352,504,135,012,570,216,983,245,012,127,067,370,
683,596,430,032,216,355,193,543,628,975,739,174,914,765,704,229,311,804,715,
214,578,002,688,419,598,466,848,906,637,096,617,566,203,679,279,980,815,289,
902,388,886,624,869,562,636,697,089,110,641,737,440,667,192,650,850,775,887,
248,486,589,390,972,362,311,638,602,498,333,115,291,189,709,839,036,108,819,
958,677,962,690,091,677,812,798,792,704,766,852,680,363,260,039,207,721,140,
571,739,992,953,182,512,951,614,117,421,233,135,423,707,590,049,063,561,379,
016,587,612,330,182,489,284,373,485,577,993,330,579,036,687,867,149,758,170,
659,125,695,527,241,091,967,126,028,250,222,866,466,312,637,716,217,895,040,
710,613,486,725,941,082,167,002,287,021,733,353,771,518,141,062,946,896,337,
610,656,323,522,607,454,602,425,989,806,572,539,200,809,765,826,089,760,440,
343,475,971,941,549,109,083,312,993,913,872,419,402,555,482,944,496,357,509,
072,385,975,452,963,189,893,161,597,201,716,659,685,045,408,507,593,620,903,
304,623,935,135,930,662,033,997,814,056,619,068,090,958,493,908,179,563,290,
576,497,549,779,491,694,730,311,874,515,143,580,082,338,409,702,829,964,629,
305,799,953,698,021,887,949,067,481,091,568,902,577,118,167,779,101,937,876,
912,273,794,969,341,203,899,024,024,800,710,600,004,933,790,975,535,219,236,
510,888,461,697,111,701,100,020,585,466,411,143,054,542,040,637,695,591,352,
431,392,343,906,921,182,713,817,664,398,612,857,300,934,054,142,799,841,648,
709,095,527,131,873,740,806,215,520,136,492,640,167,959,185,014,968,543,612,
504,138,900,402,314,950,507,253,112,480,057,153,017,313,654,098,315,335,110,
530,298,699,433,207,542,905,869,475,049,842,092,071,757,217,459,840,054,156,
706,468,349,157,110,531,963,477,809,429,688,614,053,242,463,621,167,899,544,
572,498,573,509,080,251,353,463,829,476,207,299,246,855,474,399,617,155,458,
318,375,197,872,754,846,385,747,561,263,301,597,936,971,258,994,943,888,826,
181,311,170,582,996,549,452,510,830,412,905,456,337,388,567,033,618,659,193,
094,340,344,441,183,716,783,392,005,921,793,389,424,670,306,783,984,535,560,
233,083,924,662,093,249,391,244,418,370,854,673,402,218,963,846,072,023,508,
089,339,817,579,145,737,254,029,023,985,356,104,185,152,427,588,319,129,771,
923,391,581,094,917,576,064,852,986,433,406,755,811,231,038,604,277,362,198,
856,439,633,902,983,767,481,813,943,042,671,035,750,561,713,951,994,098,668,
042,016,303,112,487,151,531,850,143,473,818,696,320,242,769,568,868,198,748,
038,977,622,913,570,573,846,850,263,397,936,868,541,232,025,792,239,868,863,
924,482,825,157,392,817,803,133,306,974,999,711,749,633,017,727,072,696,264,
949,628,689,826,597,160,319,661,736,319,875,117,068,196,917,360,288,631,019,
461,106,363,939,194,772,772,441,083,673,182,736,278,810,136,483,873,251,624,
825,501,311,304,609,976,987,612,660,760,131,967,824,495,469,471,993,474,992,
042,143,737,838,651,188,194,307,423,124,476,353,737,226,726,056,289,534,213,
908,845,959,940,667,828,171,453,491,080,516,077,936,663,261,844,060,827,111,
141,210,723,457,003,500,231,322,909,107,145,855,988,931,954,055,316,205,420,
143,233,690,748,890,459,531,567,799,976,226,519,475,279,975,176,522,909,289,
928,351,170,951,261,053,736,947,253,436,204,215,148,534,863,890,018,824,275,
838,493,120,493,474,217,793,150,841,951,975,442,616,256,761,634,212,321,438,
802,786,378,355,531,596,332,320,274,803,033,019,953,302,719,227,121,935,606,
749,190,978,891,165,512,222,364,270,011,423,109,930,096,033,043,659,068,882,
865,542,956,043,418,822,957,891,732,107,383,209,883,778,842,109,271,502,199,
700,151,287,849,338,177,831,780,203,662,831,535,522,040,178,849,574,975,847,
697,620,502,392,467,589,919,719,838,149,506,714,078,798,969,877,016,184,139,
600,835,604,262,545,260,287,447,141,300,423,598,450,408,675,589,991,777,982,
904,142,531,307,094,521,041,773,363,615,651,295,113,969,321,910,767,033,254,
173,147,375,391,426,575,027,562,312,546,420,524,092,011,854,801,448,063,777,
317,534,642,302,469,298,828,153,983,620,626,481,430,869,975,926,274,784,062,
258,386,523,356,523,118,086,928,889,271,870,178,321,807,622,992,520,712,907,
561,469,579,710,990,715,623,680,592,334,856,870,548,327,028,870,250,440,987,
516,911,592,137,772,521,697,507,366,210,645,612,307,774,093,724,086,659,767,
090,645,885,009,704,323,816,232,641,556,040,977,695,205,558,233,225,162,306,
463,424,627,914,347,625,684,719,669,897,247,408,349,195,346,514,682,826,636,
922,766,769,378,453,128,673,124,565,197,633,283,458,799,796,862,787,990,978,
122,574,585,757,418,178,183,264,354,845,477,488,260,284,411,946,581,815,731,
830,601,161,853,065,681,606,206,168,073,270,260,685,646,570,075,953,947,846,
437,245,218,521,855,541,820,419,793,831,691,872,945,549,262,018,223,294,183,
092,665,471,710,195,099,766,202,439,531,060,476,369,655,025,757,294,510,469,
157,127,835,764,106,334,490,418,470,624,642,540,986,928,507,306,863,275,438,
376,793,752,830,071,471,216,436,348,715,925,744,875,226,894,092,681,775,027,
561,000,079,188,432,196,287,726,009,440,985,663,351,701,556,590,820,056,575,
767,477,791,567,436,734,533,991,359,008,728,007,435,113,372,669,120,720,648,
758,012,942,754,826,060,476,038,763,259,977,589,374,251,410,377,092,377,403,
927,244,943,433,355,525,996,738,598,337,841,694,568,579,814,796,549,799,810,
869,373,314,497,899,422,198,248,054,800,490,575,294,698,857,479,061,274,596,
858,931,484,061,392,976,330,373,575,182,330,768,738,041,071,431,915,507,111,
278,395,359,720,619,954,334,792,146,221,498,459,881,535,805,866,033,506,397,
428,476,344,210,863,820,829,589,212,030,722,723,129,568,745,540,021,094,668,
653,984,070,514,772,626,184,915,659,032,282,693,290,161,170,137,827,778,017,
031,617,147,338,554,758,677,670,877,421,616,537,373,205,612,643,348,040,827,
747,898,470,147,235,115,273,375,105,422,113,762,758,228,005,295,188,932,524,
491,073,418,022,488,718,010,484,102,698,399,950,716,750,396,122,059,896,490,
386,263,884,831,520,716,554,260,826,038,992,038,184,178,074,356,360,730,468,
462,657,033,264,843,267,668,503,656,903,218,697,972,513,014,544,469,489,481,
821,965,245,659,022,768,200,977,595,036,031,044,814,427,664,593,863,484,338,
039,250,568,828,820,569,461,831,643,813,204,225,622,484,546,487,298,815,553,
377,004,857,360,348,785,422,267,351,513,002,458,241,080,792,497,737,126,554,
822,452,909,514,326,864,178,135,413,965,995,480,467,034,934,934,098,760,106,
386,274,734,961,509,973,482,493,945,538,640,710,095,485,972,831,465,525,096,
877,261,766,117,041,796,328,247,204,624,264,858,211,948,454,098,108,696,774,
607,123,137,036,364,207,569,394,922,671,096,885,949,544,088,912,817,882,591,
435,563,648,535,517,260,467,487,740,089,220,559,624,314,274,813,702,000,076,
774,689,937,357,510,433,128,526,791,514,683,002,663,999,464,215,652,661,953,
228,928,769,908,415,281,620,124,016,832,635,781,331,733,688,727,123,234,724,
735,270,441,439,459,738,166,751,284,288,558,859,055,917,324,534,917,086,711,
637,163,321,910,945,375,936,008,332,066,819,503,122,175,504,195,076,861,794,
345,563,613,481,034,081,109,690,378,311,874,267,664,886,341,831,631,231,870,
827,386,662,072,634,595,145,791,871,900,354,845,910,532,463,421,034,167,876,
707,990,033,609,866,667,196,701,666,422,036,437,885,956,110,651,080,945,329,
144,664,004,430,340,698,808,454,661,794,054,317,790,073,763,460,205,678,131,
412,109,533,172,117,527,874,126,779,990,187,109,667,671,346,863,783,929,454,
479,864,494,329,755,601,349,243,678,978,830,381,989,986,338,587,855,750,149,
084,177,638,737,456,353,128,938,704,093,712,594,057,897,894,923,260,999,529,
521,471,802,668,647,434,264,995,967,461,344,903,277,267,872,164,159,825,625,
549,611,606,320,874,029,425,210,103,991,444,086,138,096,707,316,812,766,781,
851,863,452,288,000,741,196,155,326,106,879,594,271,373,345,795,284,428,402,
919,738,772,685,581,764,450,601,664,373,093,542,416,738,842,728,634,657,232,
649,414,862,282,493,826,601,939,103,582,467,690,089,334,534,015,365,458,928,
714,783,486,417,389,603,829,790,827,653,959,595,859,629,386,456,105,318,755,
355,403,756,504,442,470,786,958,980,487,040,953,541,428,983,487,233,151,839,
617,849,419,268,490,012,713,196,764,614,625,413,911,322,598,011,023,283,639,
930,506,988,373,938,060,880,427,320,355,476,740,651,244,004,299,863,233,358,
758,582,779,751,564,861,944,440,841,158,154,293,447,934,607,169,662,458,447,
579,115,648,315,426,863,669,550,489,345,778,313,310,902,568,168,511,718,226,
591,653,327,430,908,836,941,182,833,296,462,415,521,202,659,012,810,321,122,
406,977,124,030,901,978,193,771,392,119,831,264,166,469,781,413,910,110,322,
090,810,122,568,511,045,614,780,913,402,279,662,564,558,403,348,190,468,940,
776,086,022,873,668,936,093,964,315,316,914,236,225,914,007,649,631,975,288,
465,041,112,020,693,188,477,714,526,155,111,746,155,581,037,730,871,431,148,
632,712,395,377,280,874,672,129,578,470,855,704,389,022,242,738,040,116,191,
669,526,336,114,853,694,432,324,127,192,876,137,544,789,215,911,056,003,590,
819,337,843,422,611,870,930,506,681,412,654,603,170,874,674,252,811,277,730,
650,239,010,531,446,930,261,547,372,967,851,912,493,427,323,189,360,346,504,
031,817,389,116,007,502,065,172,295,299,056,126,499,166,392,180,656,721,933,
884,429,367,001,186,617,358,663,751,499,954,549,750,764,632,555,728,147,597,
156,806,952,498,389,208,302,794,053,214,207,493,503,522,288,424,603,548,857,
353,561,260,950,470,378,335,923,061,314,225,234,826,275,487,438,408,650,879,
867,779,816,393,461,722,666,682,023,017,049,671,116,597,597,018,532,762,459,
401,236,404,108,874,915,768,958,915,107,320,949,724,007,511,241,544,529,448,
685,213,268,968,741,563,656,156,457,706,062,811,215,934,096,495,667,372,962,
879,458,903,490,918,066,640,950,777,509,509,137,101,685,729,489,458,248,990,
144,706,363,670,751,637,617,465,024,322,557,616,303,634,794,165,690,670,379,
894,759,537,187,694,329,359,789,631,893,056,326,946,276,629,988,824,563,602,
267,581,230,474,886,882,296,538,184,537,599,126,191,822,938,229,552,554,102,
127,526,528,964,125,978,413,953,188,814,596,920,761,935,349,951,952,939,263,
450,658,945,952,118,953,338,322,291,810,320,704,339,494,194,986,579,979,191,
609,174,641,861,299,782,667,346,683,223,833,145,084,314,947,575,264,275,367,
232,547,133,686,921,574,412,210,028,566,090,073,800,579,184,648,960,020,248,
813,452,596,245,141,899,168,512,717,573,185,848,427,204,150,867,370,547,191,
926,421,884,947,020,243,954,728,860,600,620,618,692,973,917,432,953,263,911,
635,285,839,022,277,322,909,618,626,943,319,233,963,239,467,977,119,179,319,
253,644,714,841,467,724,816,299,499,092,458,484,387,034,897,000,047,107,395,
782,040,767,831,688,422,012,956,876,111,352,209,088,378,713,304,068,076,850,
800,669,525,291,412,913,782,131,148,937,811,971,248,499,605,109,207,662,929,
839,211,203,348,939,150,143,848,239,350,862,018,196,553,033,773,720,303,919,
632,392,302,261,681,667,697,756,423,059,069,427,788,517,569,269,422,841,300,
805,869,226,712,352,728,556,055,225,244,287,679,873,304,169,349,852,404,810,
520,666,653,181,253,713,963,494,388,691,434,355,963,030,199,749,760,983,750,
285,673,475,560,745,064,193,065,228,895,677,091,616,113,250,362,854,979,049,
429,259,170,894,750,414,346,043,018,001,240,567,177,982,299,028,888,529,683,
623,552,545,435,797,249,582,819,667,734,231,112,149,279,700,330,926,609,841,
164,693,911,540,657,851,913,412,868,644,556,129,790,902,506,577,393,198,299,
463,946,330,296,697,238,295,068,316,820,435,513,650,181,737,834,462,581,839,
181,949,473,493,242,320,230,009,679,041,528,829,521,734,947,360,306,343,684,
482,062,961,104,153,460,166,412,522,518,369,921,222,535,835,756,367,539,696,
857,127,455,167,190,831,929,880,844,217,031,473,085,369,497,182,293,222,160,
761,314,496,928,719,170,624,093,284,510,535,491,118,546,158,939,592,935,696,
760,074,885,200,017,667,776,198,024,752,745,565,492,985,187,176,619,580,318,
816,255,090,411,552,005,890,408,675,729,608,200,210,829,841,836,427,444,943,
133,570,451,850,627,121,058,423,391,465,950,207,750,680,658,140,830,480,524,
434,155,739,627,890,234,786,414,970,408,141,406,742,846,362,388,593,247,346,
184,258,879,758,530,198,032,970,785,594,103,822,396,330,409,984,385,607,102,
492,289,038,199,184,007,534,977,734,589,097,844,647,501,562,865,481,516,003,
962,638,582,279,059,714,542,168,926,340,307,191,214,892,873,308,450,285,103,
431,478,587,067,577,090,646,228,186,295,892,606,974,271,214,220,211,902,698,
110,291,418,150,817,001,660,670,516,810,279,857,078,509,259,605,405,623,101,
049,459,701,235,591,252,803,401,536,164,907,595,090,404,167,992,097,779,991,
492,984,542,081,107,440,156,997,718,531,653,354,401,207,103,509,437,105,465,
438,940,240,091,028,978,674,692,694,992,565,145,063,155,512,250,964,034,918,
764,919,644,448,840,491,964,375,333,644,793,701,130,352,905,328,737,424,701,
564,591,491,608,590,620,034,767,681,846,522,269,661,647,625,861,833,847,891,
914,786,355,551,906,740,523,033,978,555,242,709,362,271,013,809,376,794,824,
577,163,319,667,654,756,346,032,255,657,768,948,765,892,401,651,181,108,007,
352,012,448,715,735,778,268,101,110,278,075,032,063,902,996,598,162,042,001,
026,435,213,364,925,040,598,027,750,621,176,985,930,369,407,408,624,604,221,
014,845,308,362,798,306,285,644,604,242,386,508,911,429,478,564,681,756,233,
276,830,165,739,633,600,709,528,377,758,019,186,815,301,378,962,347,777,450,
568,466,524,054,468,254,334,159,844,566,351,176,875,382,734,945,572,081,489,
222,052,061,586,938,441,086,623,397,739,069,461,470,305,542,195,631,933,185,
069,635,492,896,961,142,126,304,766,587,348,854,245,978,222,014,338,510,911,
571,198,352,321,741,981,468,122,671,081,796,653,948,960,344,050,660,383,542,
320,703,613,301,432,316,497,876,873,747,145,929,979,404,321,583,264,919,401,
432,006,479,725,685,456,056,714,280,544,692,916,699,283,456,885,685,192,035,
256,418,322,547,342,312,045,295,754,280,980,390,436,289,627,837,460,977,213,
212,509,843,737,146,424,040,820,498,447,385,042,838,955,767,609,091,298,226,
936,499,745,997,439,967,051,550,211,574,756,050,680,498,963,700,856,631,869,
874,645,314,209,263,946,452,432,307,942,478,207,303,456,152,055,395,998,806,
379,031,136,809,687,016,052,577,182,011,031,051,208,364,262,235,990,686,708,
491,658,852,455,917,355,792,897,260,575,616,068,980,367,407,120,167,166,851,
928,982,143,842,225,826,658,144,792,693,138,895,799,280,447,423,629,957,787,
790,947,694,686,113,020,377,908,552,730,932,275,134,211,104,372,293,487,513,
621,243,059,851,013,649,008,903,652,096,275,485,549,029,333,893,772,349,149,
481,239,597,017,655,445,071,795,069,819,981,112,441,889,168,571,183,851,822,
775,149,580,033,421,808,008,058,421,193,292,672,720,133,780,933,613,052,757,
021,525,542,537,748,216,143,574,506,724,335,627,777,199,236,714,083,055,501,
888,714,434,685,755,728,542,042,764,877,321,950,263,569,943,759,683,007,737,
777,905,568,424,045,849,838,687,423,671,399,689,616,976,244,373,259,942,803,
216,763,938,386,628,989,603,446,123,371,369,382,821,634,145,152,290,788,770,
106,020,455,998,600,212,701,469,544,423,394,133,426,039,658,723,488,728,028,
967,011,930,021,495,971,002,036,137,143,564,056,814,643,448,656,108,564,054,
854,718,896,903,735,767,896,236,148,390,966,345,843,438,750,167,222,499,042,
155,675,866,177,178,323,492,469,468,687,115,026,728,446,709,498,438,294,991,
275,206,875,407,950,400,746,775,518,477,291,591,572,446,729,343,295,835,612,
624,711,772,129,282,288,582,815,798,373,816,958,553,948,120,939,008,851,500,
371,337,016,121,384,516,004,732,627,699,166,708,082,623,499,640,350,370,672,
114,040,115,328,753,180,863,551,944,955,458,012,526,353,252,424,125,953,135,
897,925,901,268,391,000,239,572,262,628,652,902,739,154,464,841,963,581,857,
164,948,567,500,420,189,306,597,789,133,850,822,569,701,039,419,572,262,422,
284,091,288,584,966,419,285,382,760,419,765,691,396,535,592,000,939,262,129,
505,923,130,146,867,357,633,409,379,218,182,076,969,154,240,928,840,932,625,
879,163,697,269,839,300,481,456,994,879,293,402,424,013,050,663,451,729,796,
967,027,653,804,388,299,119,362,466,660,855,294,751,827,628,543,162,851,946,
243,023,888,630,625,116,096,244,408,008,222,711,079,916,762,692,811,014,048,
358,037,151,131,367,209,720,534,695,104,914,549,421,909,766,890,260,847,245,
548,094,152,293,209,941,334,455,132,126,137,791,106,508,879,654,669,744,399,
077,546,067,505,329,792,273,999,024,338,254,396,956,628,186,013,679,797,056,
096,120,941,213,203,165,267,867,629,671,792,400,734,875,479,730,686,648,324,
527,413,496,508,235,014,583,995,702,454,935,761,716,272,576,948,607,504,067,
734,994,302,377,573,774,451,694,023,589,142,136,924,661,477,725,958,496,861,
212,159,584,348,094,804,027,559,628,663,561,368,306,272,816,255,389,504,975,
956,113,381,859,561,035,164,447,071,993,990,083,619,320,695,350,768,540,039,
285,263,759,796,457,650,848,418,913,340,904,567,545,045,238,835,537,123,439,
869,010,898,197,951,320,757,867,079,456,437,596,650,263,149,575,498,888,451,
410,957,525,138,399,597,422,567,754,942,989,564,859,327,526,353,372,269,135,
324,331,128,220,789,738,130,502,212,270,436,104,301,834,901,974,300,518,359,
334,376,154,132,396,750,569,275,192,075,741,160,444,983,282,232,535,341,062,
312,531,302,158,949,733,079,532,856,751,311,791,726,000,771,430,184,475,775,
914,155,458,033,790,843,448,088,553,667,149,627,384,561,908,689,241,133,096,
280,835,441,341,858,733,401,820,867,323,016,163,779,740,698,172,969,590,502,
561,904,972,882,742,395,577,532,721,804,769,700,986,760,923,223,762,718,187,
905,721,149,240,994,288,571,101,872,825,090,175,934,002,768,067,170,315,545,
823,499,556,502,400,208,020,613,787,899,752,564,540,876,045,053,512,343,980,
484,174,115,903,044,960,830,179,240,883,608,840,848,360,571,118,323,604,157,
769,634,818,699,580,831,285,653,862,547,094,716,508,137,276,547,693,062,360,
363,345,908,943,734,535,963,393,423,805,573,904,185,388,296,552,575,526,719,
255,916,382,489,656,400,848,592,013,480,464,007,356,771,192,069,263,854,822,
127,580,572,661,177,561,510,877,199,343,800,601,138,613,190,398,026,464,957,
759,417,958,761,288,590,256,537,800,050,380,636,855,270,612,382,093,812,958,
586,359,553,639,482,342,116,493,064,248,846,491,163,648,607,337,899,940,782,
639,337,939,761,363,317,374,347,734,212,567,008,610,782,462,701,079,790,284,
716,266,038,117,076,543,877,544,941,378,495,008,437,098,460,102,825,412,318,
956,586,130,678,431,419,193,268,323,406,525,536,365,523,619,923,428,836,529,
684,790,467,181,801,810,719,092,876,395,709,926,471,360,402,574,786,530,848,
150,205,927,353,080,332,795,190,042,579,859,512,595,710,763,388,898,022,262,
926,891,100,595,256,802,535,880,055,182,164,411,866,172,210,530,995,598,463,
145,987,962,652,815,421,864,652,206,950,752,233,520,554,065,650,088,654,665,
205,996,643,012,013,301,708,969,133,201,142,309,994,248,325,835,793,525,371,
078,693,587,799,465,512,870,937,374,949,578,809,805,222,946,214,383,985,628,
614,337,596,075,127,753,609,870,821,709,113,742,701,233,933,464,156,029,778,
990,192,313,393,592,736,974,499,868,147,298,152,577,318,864,609,983,053,144,
850,887,892,959,835,958,674,333,820,077,123,262,701,113,013,500,076,294,435,
471,487,871,191,456,042,038,056,113,687,490,249,739,022,534,667,905,188,769,
753,742,142,381,928,182,904,137,016,065,907,882,115,823,477,339,000,986,089,
949,124,411,747,074,274,541,294,821,736,882,299,619,382,372,163,265,478,312,
161,450,203,840,202,271,598,827,837,892,593,420,046,268,553,869,028,429,781,
801,440,106,181,926,593,854,768,646,346,933,561,357,470,010,048,406,851,476,
247,863,394,936,598,492,294,828,861,102,829,455,541,753,227,501,471,530,114,
629,048,914,752,607,367,827,562,803,457,725,320,500,876,498,614,122,705,664,
428,202,861,790,079,311,852,783,412,810,454,304,474,946,653,008,795,453,129,
217,696,354,432,067,562,362,002,866,248,671,176,032,042,741,462,379,098,613,
074,644,346,590,082,241,103,936,408,804,883,344,665,366,691,063,332,198,102,
003,667,686,310,603,229,386,464,010,722,571,802,497,758,524,900,180,246,991,
951,373,239,614,958,294,822,051,749,753,857,014,057,608,514,595,774,930,581,
341,955,672,917,666,537,149,199,058,161,190,869,243,750,443,202,628,751,274,
656,053,155,027,747,601,606,721,022,890,899,583,968,986,237,171,710,948,337,
750,530,780,280,376,491,255,625,124,535,272,183,153,148,585,420,385,132,428,
263,192,794,048,695,170,426,596,305,943,569,347,128,660,864,541,125,449,398,
647,278,220,372,851,182,277,798,597,312,106,133,521,581,890,286,657,750,899,
035,450,065,953,637,489,241,687,105,917,143,253,202,957,194,705,842,036,632,
463,333,611,172,855,164,839,123,641,193,046,913,184,716,068,900,011,440,168,
098,852,418,200,666,067,409,313,692,383,061,692,831,591,861,497,709,980,970,
836,896,264,459,978,020,970,474,801,836,557,906,449,451,237,034,096,592,031,
152,099,022,682,478,072,145,184,594,204,407,047,926,566,348,346,311,006,821,
922,761,801,149,440,269,032,264,756,268,457,152,958,896,962,171,813,603,192,
916,224,913,920,378,709,242,425,783,575,361,291,452,432,790,257,836,015,681,
696,942,899,632,348,017,450,398,317,098,805,552,806,947,912,240,925,361,860,
551,638,007,858,877,235,668,849,407,919,546,708,867,569,873,531,624,911,172,
491,902,041,506,274,147,744,792,830,469,534,097,671,301,447,757,028,942,261,
072,287,254,316,756,622,417,439,508,634,378,578,707,952,683,954,076,526,554,
405,641,018,666,912,292,314,747,848,496,088,433,518,829,212,553,883,628,077,
318,546,368,018,981,630,239,398,133,405,302,483,907,766,001,178,625,415,738,
103,416,333,494,662,111,709,154,327,379,593,170,852,722,949,132,572,371,881,
488,187,046,385,003,080,477,304,819,650,009,119,425,433,637,830,088,773,768,
644,876,456,090,167,805,585,289,582,451,296,900,799,103,287,472,510,455,560,
111,333,813,654,836,262,520,079,098,685,229,435,296,899,381,270,406,383,242,
092,663,554,652,403,264,979,865,042,766,118,535,048,967,076,538,597,276,186,
867,130,821,333,739,666,672,276,805,201,133,920,649,718,476,775,876,552,717,
075,540,540,042,100,041,020,154,451,468,778,423,989,043,451,432,759,781,189,
119,848,656,341,811,294,557,826,905,692,073,825,420,277,941,487,921,583,185,
427,928,463,553,762,017,547,761,832,961,661,569,640,435,104,016,703,438,921,
798,026,577,207,189,385,864,285,297,858,053,095,425,354,006,259,710,800,279,
506,752,614,119,285,473,361,950,534,212,916,990,587,516,122,857,858,308,683,
701,266,876,963,141,096,240,383,335,650,072,807,188,656,886,822,192,027,226,
979,003,529,384,708,373,300,951,197,780,409,572,877,495,188,268,972,238,850,
171,226,914,978,400,796,171,047,605,104,753,148,571,330,949,078,032,005,640,
071,987,524,803,689,686,106,289,675,763,891,131,374,699,635,501,856,233,322,
271,566,593,217,003,965,382,313,979,002,552,263,749,155,201,858,703,679,908,
158,856,454,886,348,544,409,516,325,642,367,007,872,874,049,824,270,547,229,
191,941,762,085,011,552,022,805,222,141,628,234,232,397,056,043,574,950,466,
390,483,535,426,960,127,378,471,418,204,689,061,825,991,089,193,851,849,214,
846,195,454,636,249,915,012,475,846,638,501,502,581,658,681,708,470,080,685,
532,774,265,623,287,563,795,706,531,346,861,095,020,958,030,672,937,229,431,
326,668,527,100,961,272,232,807,123,136,983,948,879,489,596,449,499,775,702,
954,365,024,581,352,979,104,274,514,939,107,652,980,659,567,794,144,896,840,
222,827,564,478,544,900,484,993,334,881,272,533,522,883,119,983,806,335,629,
023,359,416,005,981,078,131,354,514,268,795,744,621,031,531,622,851,721,999,
731,458,739,508,645,477,478,061,012,832,745,591,681,768,179,866,471,215,506,
362,816,834,491,427,509,494,541,459,135,682,933,706,783,320,597,392,358,400,
242,211,314,008,366,868,775,733,677,006,652,300,930,899,436,645,410,375,507,
356,991,418,122,247,798,984,822,715,747,091,219,418,200,188,607,874,412,928,
362,930,971,728,689,423,348,398,744,375,031,973,168,128,468,729,275,265,770,
423,637,991,190,887,932,469,034,662,433,772,908,838,775,511,587,801,600,001,
276,511,398,807,314,848,868,927,427,391,944,114,649,644,748,653,367,110,066,
005,925,531,818,602,816,450,830,104,344,293,002,389,815,176,726,120,286,322,
171,497,013,584,063,688,323,835,811,591,785,571,267,442,100,024,541,199,274,
937,112,231,747,882,851,664,342,229,275,740,228,319,411,944,465,817,726,626,
450,517,527,709,947,344,414,721,488,654,730,677,908,668,617,445,508,881,381,
725,255,392,029,790,087,816,009,958,021,003,695,312,864,978,430,780,689,636,
044,781,938,411,471,600,088,413,009,974,702,741,133,518,244,418,886,435,228,
209,596,924,130,957,462,544,808,840,125,659,285,291,089,262,191,470,826,103,
739,288,178,329,237,172,219,944,917,841,239,137,639,296,527,542,851,025,697,
649,962,979,245,664,583,570,785,308,699,438,803,814,645,740,350,100,675,687,
238,015,699,036,032,713,997,934,524,025,338,745,653,500,680,167,358,294,860,
479,675,828,428,984,237,589,316,426,746,889,553,183,426,683,119,524,818,732,
243,632,394,488,785,103,499,533,412,108,558,679,053,140,425,972,181,951,855,
051,234,690,892,855,875,036,640,511,246,005,513,905,403,349,669,035,134,545,
463,342,627,586,479,114,942,039,448,389,827,880,334,064,439,171,971,903,214,
651,639,956,173,013,687,083,482,665,141,527,794,469,703,414,705,072,263,250,
389,147,403,661,929,464,500,064,194,336,117,804,520,973,840,701,805,065,297,
314,516,328,492,043,863,406,895,693,873,304,614,494,076,090,003,311,844,375,
602,639,176,652,485,302,773,464,986,174,067,332,593,852,921,876,330,980,405,
162,931,865,686,074,211,819,597,640,722,977,198,862,863,508,180,197,438,283,
045,467,620,268,906,224,610,533,354,543,933,899,330,462,780,943,451,327,502,
304,518,028,247,688,272,104,237,084,215,240,789,667,497,211,422,773,651,678,
258,835,945,174,072,202,811,847,008,867,607,487,623,130,999,872,052,964,723,
768,242,193,848,184,000,981,056,991,763,027,635,291,497,356,049,274,633,517,
323,433,694,389,761,572,460,153,303,626,678,169,537,842,028,340,735,511,848,
298,962,116,987,965,667,150,761,843,746,938,914,949,785,759,704,143,234,622,
824,593,811,897,816,291,447,974,890,305,301,874,671,023,912,433,909,242,177,
762,285,427,420,173,878,568,827,876,075,605,931,291,717,243,376,949,947,611,
137,892,190,736,043,183,169,994,502,881,193,637,125,338,563,848,867,590,393,
322,402,487,480,638,611,519,039,919,265,077,204,145,701,325,365,967,389,440,
311,130,584,961,264,590,799,008,037,808,494,979,793,512,781,838,635,155,503,
119,855,914,798,505,415,989,461,696,743,684,948,605,131,906,332,347,691,584,
265,664,536,578,786,253,911,517,955,923,078,659,684,327,348,895,250,105,351,
938,742,692,187,500,381,183,591,824,696,334,155,946,964,128,691,222,618,300,
973,989,832,121,372,531,138,517,979,935,859,402,445,783,589,779,862,872,749,
733,650,020,676,989,325,978,061,324,802,954,191,514,992,895,222,795,704,892,
842,587,889,402,863,988,898,056,120,416,630,705,932,161,934,534,930,787,026,
065,097,461,208,068,244,234,890,979,770,133,801,495,771,865,020,868,423,428,
275,469,330,255,919,171,792,861,213,095,565,661,763,474,174,987,634,442,245,
277,943,190,254,152,735,935,951,789,873,543,241,948,620,329,703,578,968,549,
519,665,578,694,752,048,015,795,686,682,904,288,297,139,055,777,251,910,413,
978,009,972,534,259,381,358,555,010,198,499,159,831,821,184,444,515,809,939,
724,567,947,386,374,941,966,093,225,359,952,786,370,170,007,857,718,817,984,
204,729,852,722,031,120,107,957,647,148,234,260,801,963,922,614,942,036,322,
304,053,133,103,156,922,419,819,864,512,721,687,944,357,492,735,213,027,508,
518,924,819,334,244,331,109,393,015,349,517,185,220,741,987,323,014,190,961,
126,758,789,720,235,579,650,131,316,121,733,605,844,382,389,039,299,611,744,
252,006,465,283,831,441,687,094,836,450,333,184,394,747,157,315,027,307,192,
399,720,308,065,765,885,737,290,944,809,163,985,821,795,232,654,023,718,631,
008,789,016,842,231,012,573,962,430,329,956,283,240,304,271,361,673,462,108,
968,297,859,834,183,520,480,833,066,936,337,740,872,952,222,410,257,759,753,
436,938,226,216,154,512,795,621,465,611,219,651,503,724,121,305,102,470,899,
796,372,056,813,008,888,319,774,870,708,492,210,000,687,413,374,663,864,321,
273,693,689,327,393,622,117,220,473,971,112,152,504,705,669,517,574,003,938,
033,048,748,818,062,695,557,762,914,772,178,967,419,691,887,095,430,948,558,
320,514,097,391,992,558,170,298,468,335,157,790,725,111,031,380,620,026,423,
679,110,469,006,861,827,491,135,536,287,634,348,258,686,924,536,634,365,053,
779,062,352,980,326,234,174,491,993,843,536,559,458,578,963,723,715,285,226,
134,115,579,978,781,648,972,417,908,947,069,291,671,972,764,706,595,990,081,
079,271,049,666,366,181,627,875,239,780,165,083,785,668,420,908,078,568,785,
964,669,228,372,872,427,055,588,024,719,344,039,800,947,998,130,711,308,382,
814,698,795,591,736,378,009,745,348,512,952,372,702,672,789,205,413,332,608,
446,589,190,290,750,442,218,642,534,444,909,655,388,654,406,812,216,756,503,
556,452,586,087,629,761,865,722,548,695,719,833,333,017,325,692,267,146,888,
367,602,848,277,154,540,967,099,582,963,738,992,917,962,382,089,773,963,100,
303,573,120,287,807,466,560,365,889,363,729,119,490,710,268,662,944,400,222,
362,919,649,324,592,427,625,392,287,222,154,703,233,914,353,091,163,284,806,
533,168,838,485,226,664,652,504,634,549,193,505,763,607,681,199,331,025,180,
020,569,870,527,321,004,058,950,504,900,869,291,396,557,855,368,689,086,825,
361,682,180,757,366,374,515,906,691,034,519,193,157,155,190,082,739,714,643,
305,760,149,454,299,502,391,524,282,667,679,289,183,658,242,547,916,988,184,
303,325,836,650,733,895,821,570,319,597,067,571,597,623,212,141,457,050,649,
597,907,484,640,552,654,013,358,038,060,109,498,325,209,597,190,009,387,633,
994,917,107,142,547,732,212,519,789,205,370,159,390,622,669,392,573,526,676,
792,344,811,501,163,295,829,387,185,535,083,276,179,424,523,681,852,726,756,
356,067,661,848,484,956,895,362,824,019,773,310,913,507,134,814,493,950,273,
997,600,728,761,067,709,064,671,928,858,742,844,678,641,930,078,917,093,255,
569,833,159,862,716,798,619,322,500,297,751,300,966,641,568,399,594,414,809,
098,959,742,520,802,048,287,834,441,216,368,927,668,602,672,237,013,793,540,
398,020,072,385,246,903,270,089,900,519,457,698,547,791,602,709,316,239,798,
850,297,748,279,781,541,912,726,490,081,336,122,179,269,882,845,408,091,153,
755,676,407,778,264,908,157,918,027,020,223,441,740,961,302,477,876,751,697,
426,986,618,747,744,312,369,676,546,168,523,844,089,926,178,523,743,068,011,
528,804,461,790,159,296,560,435,257,612,861,006,799,990,135,062,087,131,125,
961,895,168,843,195,836,548,617,091,522,671,179,823,975,695,495,097,681,840,
455,898,275,699,295,664,628,509,264,527,288,132,841,879,815,999,862,386,009,
015,192,854,134,133,896,051,244,675,504,033,617,707,461,120,186,071,248,145,
846,295,552,541,796,994,987,330,014,379,646,825,620,451,433,979,325,326,613,
938,898,339,576,754,760,256,953,694,411,436,570,203,193,003,549,165,815,567,
741,034,037,388,770,868,692,024,155,768,462,231,881,600,102,665,262,192,227,
955,885,423,611,660,773,108,961,410,689,110,065,532,804,232,297,856,112,583,
586,166,953,744,894,959,578,407,756,126,616,693,746,670,475,928,460,672,377,
652,608,861,241,930,983,673,243,958,774,728,520,397,183,584,314,548,645,647,
263,431,286,920,515,899,977,305,667,842,851,541,602,058,995,649,567,178,905,
256,593,683,280,502,586,346,053,202,269,214,529,495,048,647,447,686,650,935,
540,306,566,793,478,753,660,055,578,793,664,707,956,688,550,297,760,332,433,
469,536,805,959,377,273,049,401,705,442,027,027,025,911,167,989,042,086,460,
622,800,747,629,512,142,725,626,639,861,064,471,855,698,255,311,036,294,595,
030,328,062,627,487,150,507,999,548,317,862,044,223,980,420,757,686,139,198,
369,028,838,204,960,112,664,127,326,169,605,953,777,049,782,300,167,521,001,
843,783,665,760,500,044,298,965,119,603,985,766,050,986,987,827,227,629,954,
297,362,989,568,581,303,774,491,070,517,553,535,075,584,837,813,871,159,622,
890,301,215,079,983,463,808,799,540,736,287,803,701,218,214,647,385,309,822,
239,841,507,064,954,352,045,161,698,362,837,976,241,626,467,386,095,025,070,
565,255,036,548,659,474,272,355,010,728,044,497,930,650,138,535,152,050,688,
398,031,016,812,697,807,948,564,452,363,460,720,169,723,280,217,018,670,216,
975,074,444,047,357,255,394,697,653,999,629,267,152,578,698,768,124,152,769,
079,800,351,814,827,432,880,869,207,431,357,405,134,456,388,563,051,977,250,
215,589,941,277,152,081,288,387,251,581,448,280,759,936,115,448,487,659,787,
702,509,470,725,514,230,343,597,802,784,790,821,464,884,939,727,377,933,300,
369,964,394,539,567,564,553,103,663,603,972,312,026,041,219,347,130,281,383,
752,233,876,758,281,653,162,674,377,095,698,184,110,716,330,935,817,136,590,
330,348,158,386,601,522,440,453,916,364,583,466,997,361,919,009,053,358,998,
351,993,408,192,679,324,247,771,293,685,765,572,297,824,047,654,737,099,516,
607,340,860,823,675,860,058,770,332,441,177,772,708,999,818,378,306,251,924,
444,857,566,621,283,842,715,264,515,444,139,969,895,189,698,720,086,247,896,
387,105,975,476,192,249,557,230,849,857,081,030,842,348,810,196,402,836,602,
225,085,140,116,072,854,395,032,145,467,233,380,803,036,582,254,645,743,301,
380,499,509,264,634,085,140,117,164,199,206,891,643,988,094,168,719,515,737,
887,342,287,803,124,804,887,992,175,299,725,014,188,386,182,630,150,036,219,
850,383,145,162,564,746,901,332,335,717,308,834,896,275,576,963,640,678,264,
669,505,404,265,593,058,855,273,164,904,258,603,578,688,428,279,149,893,410,
495,068,122,562,900,029,410,086,552,267,698,728,113,399,424,707,326,641,817,
588,189,690,613,811,148,794,286,577,420,975,923,218,027,665,019,877,505,193,
319,468,285,641,487,995,993,641,160,240,262,091,217,616,262,683,993,184,891,
942,018,889,762,551,800,702,239,230,203,875,929,143,431,271,612,500,108,211,
706,540,319,047,393,345,826,731,694,750,857,517,398,970,563,710,508,802,380,
558,792,807,431,670,101,504,059,427,825,375,707,454,015,814,988,685,043,065,
506,341,368,009,440,771,307,256,604,901,685,450,407,996,607,986,174,437,413,
034,409,695,719,276,059,963,835,041,195,299,405,127,156,253,611,729,605,352,
346,411,215,091,491,186,998,045,365,894,036,256,202,349,462,531,901,556,628,
216,315,947,379,342,032,158,500,157,880,053,030,045,424,017,544,316,620,527,
941,256,429,154,920,481,731,553,811,959,692,326,325,650,464,534,811,693,536,
909,083,751,609,794,310,550,907,357,666,973,144,140,210,588,539,315,733,645,
303,234,044,723,168,024,757,615,097,150,835,366,061,127,355,914,996,529,866,
877,911,592,374,426,735,750,300,478,972,872,904,814,111,822,442,962,393,869,
982,505,126,995,652,889,834,702,298,358,544,773,253,845,390,250,541,393,959,
232,888,605,173,046,797,927,376,320,272,861,065,894,972,884,457,282,546,863,
571,001,318,417,420,902,432,387,239,999,271,479,206,511,771,885,337,258,624,
247,313,361,262,210,845,145,918,867,160,651,612,241,717,384,251,912,967,486,
379,584,763,099,778,223,603,434,409,780,869,889,227,228,943,346,802,632,735,
320,308,282,695,490,326,164,695,515,420,600,874,067,311,148,292,472,164,517,
013,557,860,217,508,786,377,898,841,367,564,691,018,695,187,599,685,705,337,
130,405,504,740,739,844,602,442,956,345,776,264,390,900,557,546,372,397,082,
020,780,827,733,787,729,601,095,805,508,558,983,554,822,681,285,341,400,250,
697,068,117,949,227,738,585,185,184,109,853,830,729,051,033,860,664,235,367,
221,772,372,809,609,107,565,614,319,832,405,733,587,588,585,226,316,999,225,
628,722,969,544,096,179,254,798,580,240,179,372,954,003,598,484,018,673,730,
846,014,643,052,753,652,673,274,979,976,504,529,001,787,876,600,176,502,572,
548,093,238,494,225,879,083,762,175,821,377,297,731,233,434,303,392,888,966,
514,800,204,022,315,184,752,191,292,015,342,988,831,417,270,273,719,126,392,
326,147,202,923,085,280,772,136,595,848,305,435,393,739,333,838,717,822,188,
115,688,058,050,157,227,813,005,857,251,954,611,148,617,962,711,957,626,536,
115,015,365,773,039,143,021,549,457,277,182,646,640,116,355,093,694,190,393,
848,442,443,007,453,215,420,667,854,412,550,610,375,706,298,159,764,763,653,
153,265,433,376,805,362,547,256,099,420,564,933,938,887,354,792,835,742,250,
454,653,568,469,966,823,862,870,179,046,997,937,322,429,806,409,617,915,314,
954,755,472,205,353,886,635,997,546,641,559,160,793,226,321,485,393,759,212,
050,201,451,013,883,390,404,546,465,734,391,651,597,934,337,084,131,336,394,
574,697,240,240,728,812,114,278,723,326,551,130,489,440,458,500,630,415,205,
956,287,766,334,990,630,109,252,365,233,621,165,285,410,780,038,354,995,722,
491,385,956,612,284,063,392,432,790,256,419,857,416,180,166,807,060,517,159,
056,026,161,871,844,608,475,641,922,539,655,720,853,334,530,703,015,048,203,
602,644,427,196,428,701,989,505,482,370,613,186,770,067,271,361,401,811,772,
482,066,408,150,033,923,012,099,864,634,210,854,981,279,994,405,507,774,874,
510,442,463,682,811,878,353,507,058,927,448,621,498,712,901,191,637,829,638,
924,108,534,507,405,268,494,341,434,727,769,126,498,935,461,421,486,474,553,
727,415,266,075,169,048,088,803,787,079,219,582,693,942,082,487,251,679,389,
592,548,286,004,730,548,131,446,242,749,724,017,117,356,274,044,499,968,705,
769,909,905,886,688,513,550,936,247,929,450,415,764,838,220,232,460,732,089,
065,465,302,198,221,979,845,477,155,249,533,085,428,093,417,643,232,312,820,
167,328,931,491,735,647,308,940,822,843,840,728,432,115,372,002,109,854,273,
700,144,969,637,869,969,855,668,365,212,447,982,280,322,008,110,327,063,921,
821,436,831,163,917,559,480,348,492,381,832,086,602,626,126,409,904,076,553,
509,071,564,756,067,252,767,804,052,441,539,396,587,532,525,535,889,710,662,
629,568,000,393,031,877,185,993,672,250,783,930,310,353,103,712,028,418,411,
581,298,143,065,262,607,346,469,714,514,383,199,387,326,957,763,162,923,197,
933,154,590,149,285,104,809,412,231,556,924,418,420,265,842,045,048,251,037,
954,903,215,410,511,228,811,317,097,545,519,374,828,745,506,831,317,609,517,
219,252,135,469,111,883,183,122,262,360,262,816,865,242,663,609,062,416,025,
830,886,861,725,007,238,727,417,154,095,993,133,416,408,580,639,246,416,287,
931,266,147,773,810,532,586,552,221,717,826,790,800,399,363,450,109,861,400,
721,907,502,753,425,456,690,216,684,628,211,861,891,377,368,769,741,536,736,
933,670,279,443,512,975,328,905,485,322,016,145,006,910,924,353,570,912,023,
472,116,071,040,779,175,162,032,491,989,196,185,973,192,201,891,393,201,149,
147,071,469,665,761,529,049,677,540,655,409,136,693,198,750,425,621,064,839,
578,699,402,383,471,886,687,118,635,685,815,397,018,176,972,427,272,961,990,
159,499,017,513,168,354,310,683,839,592,572,658,660,373,977,089,390,564,764,
284,525,086,253,280,939,093,527,246,281,640,326,868,810,747,297,499,771,123,
503,303,132,580,292,164,610,587,914,650,717,901,281,465,764,803,667,213,473,
611,792,593,610,838,706,068,441,887,192,225,794,880,534,673,701,363,706,422,
334,699,079,779,411,194,049,356,043,082,091,147,422,588,684,519,776,935,906,
348,130,137,521,076,478,439,491,221,510,038,474,169,329,359,932,398,419,339,
080,037,682,731,100,507,868,851,198,088,586,684,857,534,415,189,919,166,913,
164,384,552,129,279,853,187,266,918,319,780,499,895,371,191,937,556,261,908,
842,353,731,855,017,338,164,261,344,824,983,806,153,337,820,633,143,392,900,
790,171,981,655,581,685,402,412,094,479,652,480,911,241,284,873,535,438,677,
744,885,022,932,338,941,334,119,012,247,315,978,916,561,289,107,224,109,948,
448,418,587,074,044,908,167,741,754,642,814,311,150,299,100,282,444,980,004,
310,254,274,561,780,905,866,462,256,360,176,454,864,568,207,980,452,850,875,
827,576,922,809,154,288,637,845,248,738,114,370,024,321,058,531,211,881,615,
412,650,046,903,841,091,873,996,707,297,573,277,453,956,841,832,574,243,440,
808,491,864,796,361,912,859,495,663,641,898,346,143,904,241,649,262,397,882,
441,912,367,559,080,052,333,442,816,999,419,261,593,197,940,746,384,428,153,
985,431,819,287,781,448,998,203,144,594,244,456,838,318,180,017,046,885,704,
848,350,079,772,951,821,430,576,665,693,859,761,281,085,206,400,200,378,738,
106,035,519,824,025,723,353,433,789,484,218,896,740,710,266,537,444,227,027,
038,448,409,543,271,646,210,567,543,479,398,063,505,741,555,510,141,113,781,
415,032,673,961,707,589,398,466,787,826,708,307,500,736,885,083,625,554,470,
087,748,575,556,622,705,709,471,374,365,299,215,602,790,545,234,492,513,193,
268,687,716,868,738,618,912,006,758,689,203,555,397,616,759,497,551,022,477,
345,695,907,723,053,921,108,033,259,901,152,792,908,404,883,536,889,307,007,
148,247,626,628,836,406,621,649,526,232,433,031,990,880,156,710,374,084,806,
324,561,144,427,954,847,098,506,904,579,647,919,318,047,159,952,662,710,182,
804,490,858,131,390,859,557,774,700,852,468,262,614,244,585,326,120,459,651,
979,687,040,054,308,831,842,696,306,601,576,163,831,508,584,441,283,742,426,
061,504,521,376,483,381,850,444,891,382,025,811,053,416,122,836,188,218,354,
526,818,105,658,849,939,762,029,222,000,432,021,081,530,226,524,227,325,119,
383,361,064,568,071,171,242,764,273,941,430,930,249,136,421,386,468,077,736,
125,874,069,424,999,000,904,975,515,103,992,903,700,179,391,945,444,824,031,
675,941,969,174,981,382,998,893,120,352,069,851,360,658,026,186,754,856,872,
264,195,585,531,107,382,125,824,387,963,692,199,246,500,639,654,361,336,968,
344,029,284,964,235,734,827,357,688,105,159,067,400,620,082,284,794,098,881,
382,225,136,416,046,662,119,735,108,831,375,667,030,887,548,758,020,302,366,
817,923,675,633,934,845,297,765,155,094,773,840,547,862,481,670,422,967,186,
385,143,453,249,404,093,446,411,406,346,590,241,670,407,206,000,424,544,137,
474,733,876,867,417,964,831,099,417,003,578,760,116,404,926,059,707,369,465,
527,419,141,134,313,044,543,600,499,941,679,427,192,134,554,733,449,972,745,
114,284,400,570,997,765,124,432,450,517,250,117,412,080,747,474,094,166,668,
739,256,267,674,293,126,680,640,237,086,210,097,459,349,731,006,079,360,883,
459,098,239,564,784,056,389,930,533,126,149,413,841,904,387,942,224,865,133,
117,782,761,829,892,470,343,817,889,779,665,920,064,408,032,501,239,244,229,
456,831,891,674,608,945,749,315,720,865,990,195,456,978,996,472,041,473,091,
507,726,943,255,057,335,730,304,251,826,900,205,906,432,866,256,263,227,113,
902,892,603,678,792,458,464,226,433,619,993,265,377,255,182,716,327,501,996,
338,622,118,529,579,567,189,904,976,146,813,849,010,302,602,865,318,425,735,
256,268,811,477,970,907,508,568,905,532,808,648,777,485,881,695,918,674,820,
449,791,973,252,204,430,200,817,456,574,614,213,714,577,621,307,120,537,581,
757,006,866,026,721,898,326,476,927,671,298,005,011,548,822,382,144,338,355,
604,995,666,760,399,584,739,200,626,766,545,184,907,614,051,263,922,491,417,
400,912,910,191,174,166,673,675,916,798,048,587,667,127,131,136,719,252,324,
331,383,361,052,026,378,983,377,640,041,555,249,326,755,680,117,146,981,352,
305,864,275,285,034,080,323,106,786,978,460,177,262,865,855,039,486,435,232,
751,475,231,112,848,593,984,274,812,929,091,393,218,386,859,327,864,642,864,
148,656,390,523,038,947,449,105,643,812,936,085,457,002,608,569,508,670,999,
016,116,930,993,473,935,883,509,302,541,917,824,703,864,196,987,959,941,455,
660,330,067,632,683,806,158,252,179,977,606,873,719,935,650,469,521,021,654,
854,122,654,140,936,560,024,822,401,507,842,092,651,232,949,742,893,210,426,
292,378,294,016,987,241,849,530,983,904,802,357,344,952,838,319,102,015,542,
442,831,639,811,139,729,698,510,125,288,407,888,910,386,794,562,968,338,911,
476,070,167,962,689,365,633,592,712,754,023,246,604,061,446,210,936,288,793,
483,751,567,716,657,220,200,981,250,228,857,787,939,568,275,498,017,605,297,
159,285,183,596,763,987,274,252,143,516,938,245,102,443,887,974,724,087,687,
714,342,312,780,322,461,283,416,644,721,243,728,012,567,968,341,242,642,405,
773,151,439,502,440,629,617,277,854,859,234,037,230,887,893,084,727,983,451,
740,617,803,480,110,932,465,521,146,866,171,741,226,677,594,376,948,506,266,
736,888,336,999,837,567,172,277,113,827,248,208,363,452,833,445,292,554,802,
758,653,092,378,426,173,365,289,721,857,733,534,071,175,145,631,442,551,182,
996,692,915,403,273,010,378,679,198,949,550,625,022,719,920,096,780,288,929,
659,986,782,837,628,556,492,787,351,520,343,568,476,157,304,962,093,520,006,
578,819,003,720,298,764,862,063,426,349,599,911,069,636,865,378,306,656,102,
092,509,010,630,885,562,578,646,631,834,976,010,424,076,723,567,877,257,735,
842,053,409,948,722,268,315,502,292,251,177,810,919,094,620,937,418,110,184,
121,005,960,689,271,119,687,248,523,191,975,547,216,610,713,921,216,407,312,
470,490,334,200,313,886,476,233,689,223,168,669,763,364,106,224,198,985,089,
180,482,380,849,542,122,317,414,840,718,116,094,073,907,437,231,817,111,938,
950,991,725,590,513,572,257,449,622,836,525,725,206,970,387,627,787,991,194,
420,693,471,242,373,903,152,761,724,251,611,687,330,949,486,258,790,015,706,
773,286,734,822,218,940,701,567,482,923,816,979,938,280,879,475,397,071,556,
706,205,372,740,814,566,056,128,405,549,462,525,053,814,596,439,050,367,530,
469,055,513,927,668,191,999,728,892,059,405,906,403,945,981,421,798,307,401,
973,024,724,394,468,992,981,759,045,742,388,327,547,955,392,799,730,218,064,
549,007,506,294,579,084,203,603,766,720,690,044,557,214,527,933,013,071,173,
292,261,502,864,354,163,474,639,591,310,623,191,023,826,371,515,932,951,964,
168,206,169,987,647,616,764,335,039,626,975,595,402,394,854,921,390,284,019,
625,835,666,375,549,770,413,470,427,800,463,885,681,223,549,483,262,798,119,
213,579,361,535,495,846,859,836,230,127,120,164,556,088,457,579,123,186,925,
818,997,101,507,451,432,857,293,289,766,489,455,362,314,854,714,301,341,042,
385,084,528,828,940,964,957,198,123,671,690,832,864,943,020,913,200,516,016,
639,409,288,763,822,156,767,651,593,220,474,631,059,514,834,994,435,947,890,
829,809,175,198,154,317,818,066,745,922,092,592,931,192,206,001,149,009,331,
867,802,489,981,646,106,052,590,904,051,341,250,965,128,864,527,958,580,396,
259,637,035,675,477,043,498,609,301,227,700,428,033,985,242,208,375,864,032,
306,097,105,033,625,088,867,537,238,916,707,443,526,235,905,877,697,013,497,
582,201,229,670,830,662,773,517,061,907,719,011,243,815,946,195,643,588,979,
552,242,979,276,543,411,492,936,253,090,057,995,235,097,240,728,040,782,773,
205,403,300,285,551,544,017,258,444,764,449,277,296,888,270,838,789,740,722,
279,761,099,595,703,037,402,000,710,045,509,262,451,035,383,768,105,550,622,
849,143,540,273,378,017,496,380,570,091,738,067,322,561,628,125,890,376,835,
630,061,211,162,556,881,071,652,724,700,017,531,518,061,596,280,007,454,593,
237,349,102,682,358,955,613,787,523,829,326,134,184,806,830,447,665,147,937,
177,649,654,460,092,192,315,439,138,686,676,923,757,184,497,949,832,086,401,
329,306,528,156,752,405,798,761,034,477,968,469,209,802,591,445,997,158,980,
334,458,026,041,037,605,688,422,877,073,756,238,413,553,848,020,123,206,356,
098,908,875,110,906,858,408,048,062,567,957,188,680,636,409,635,838,185,252,
350,098,272,336,351,033,262,411,797,539,572,174,805,298,431,859,918,319,580,
883,330,064,707,217,912,593,816,468,514,098,463,289,724,622,427,533,782,463,
628,156,997,211,640,312,724,736,634,403,198,272,869,324,083,728,673,316,302,
385,686,155,735,855,800,720,537,026,237,925,398,828,091,520,477,849,374,926,
549,590,667,929,445,594,053,059,827,484,344,942,634,931,000,695,131,612,739,
913,874,823,545,353,648,485,908,055,592,988,742,581,473,711,980,633,536,095,
131,793,525,596,786,090,222,300,277,928,886,550,978,757,755,708,555,375,566,
892,914,459,056,685,107,844,768,205,570,850,810,131,540,670,303,790,526,936,
034,306,998,003,681,801,360,487,599,049,049,479,904,548,153,924,052,371,942,
691,622,588,415,366,508,948,572,788,947,270,727,304,179,207,059,941,225,459,
363,305,865,265,437,352,760,193,493,081,812,522,434,082,886,539,297,694,041,
549,314,715,241,377,184,687,550,454,102,075,987,914,702,415,127,410,494,942,
763,640,991,618,302,756,546,421,702,984,353,383,861,103,181,397,479,677,331,
226,560,010,579,730,326,806,828,228,824,061,205,336,935,287,697,154,370,439,
578,777,395,628,354,348,575,072,343,125,154,109,926,418,294,873,326,744,440,
590,010,133,955,552,471,864,083,125,201,246,049,985,452,091,788,758,999,215,
494,848,179,211,639,581,862,643,229,644,378,158,135,309,385,954,118,679,178,
554,231,754,591,656,418,571,722,002,501,041,356,308,209,050,182,652,196,560,
402,308,233,667,341,688,001,296,357,782,663,943,863,851,303,091,052,154,556,
224,044,940,565,337,193,173,900,216,650,632,369,960,704,405,673,476,991,535,
352,824,321,848,398,550,488,637,764,909,207,753,903,391,387,321,667,343,567,
269,648,700,205,775,694,028,268,154,919,722,702,789,701,483,721,446,400,163,
599,608,181,142,810,013,046,380,945,101,581,648,703,637,467,314,293,010,724,
170,813,340,108,580,680,578,319,293,639,216,446,458,374,153,119,384,414,741,
445,452,003,922,043,788,006,050,002,200,111,561,863,042,382,989,179,172,918,
616,092,264,506,344,933,993,381,180,764,077,465,180,554,750,812,216,707,410,
407,587,885,070,162,621,283,050,727,194,896,399,508,324,200,997,328,954,492,
933,310,321,246,917,993,626,585,463,635,925,232,060,079,006,121,135,776,426,
208,210,991,681,033,071,860,560,044,660,146,637,854,633,391,582,605,876,486,
910,017,516,921,084,762,395,723,133,594,350,048,703,814,229,153,483,235,450,
227,507,762,066,307,969,230,225,350,838,410,616,359,776,002,220,880,015,194,
228,662,107,749,446,916,149,254,173,245,106,343,731,360,871,685,607,955,535,
514,983,208,902,796,437,077,713,551,167,528,267,453,767,004,352,922,591,862,
801,843,792,475,772,101,429,461,918,794,471,242,679,269,267,745,109,398,481,
835,496,352,128,999,143,999,805,631,679,958,738,695,882,426,221,858,308,533,
657,757,611,992,533,330,930,929,414,200,992,305,233,139,328,403,554,297,396,
850,591,427,984,646,322,879,439,605,871,925,324,195,149,138,351,592,292,372,
696,465,840,228,937,827,586,789,009,226,563,366,571,396,933,682,878,078,559,
414,270,389,634,568,557,761,975,081,179,132,057,148,758,705,175,900,127,248,
873,551,212,234,319,777,677,397,751,232,811,355,408,208,440,644,369,947,715,
743,844,263,206,061,050,886,306,236,316,018,203,891,929,375,767,602,962,092,
412,024,558,318,458,168,592,041,326,422,183,927,671,710,863,411,935,020,856,
876,636,162,344,855,757,765,028,535,159,161,272,246,693,110,880,326,558,999,
210,367,153,643,432,885,502,957,319,569,149,241,038,469,883,107,272,573,194,
183,610,243,638,653,728,786,087,224,805,829,199,191,881,409,834,933,286,130,
243,802,421,891,488,185,766,515,974,241,417,727,551,961,341,081,447,223,002,
474,767,042,176,864,342,637,325,592,491,672,558,813,731,053,319,824,071,838,
389,104,614,476,845,499,161,736,434,356,280,789,273,050,334,548,965,703,357,
636,821,101,233,870,107,599,196,635,819,929,898,078,263,494,347,308,742,479,
361,344,789,459,028,927,846,483,714,633,437,440,454,883,085,579,586,615,903,
559,223,267,836,378,262,975,591,066,186,133,784,935,348,299,763,922,250,257,
132,138,160,479,705,907,135,299,156,047,711,616,597,581,983,011,191,780,744,
359,990,634,754,635,997,891,358,108,035,716,400,627,914,165,144,948,746,327,
847,217,475,879,483,328,880,668,260,303,715,823,677,569,954,468,658,718,359,
902,250,567,940,852,513,914,526,491,888,327,130,332,911,559,875,069,122,642,
447,780,936,062,744,923,925,100,847,358,815,525,965,675,302,569,164,009,800,
624,416,608,470,183,154,649,395,347,160,255,836,454,931,463,058,787,883,897,
798,170,515,067,634,449,176,719,018,753,397,398,080,204,504,414,388,026,870,
671,291,874,503,549,065,461,799,906,376,579,446,396,223,700,341,727,183,661,
059,768,444,566,031,699,580,751,202,669,253,249,634,623,448,202,318,281,791,
006,378,875,909,816,737,540,082,925,048,572,158,414,744,151,204,947,366,283,
056,356,286,221,206,128,281,083,774,683,509,031,461,896,175,525,420,269,309,
414,227,919,628,488,580,457,444,894,106,603,269,035,505,253,360,557,134,947,
902,160,751,180,401,306,359,058,552,940,820,932,544,377,653,012,064,427,111,
792,982,715,108,038,867,126,497,943,727,321,713,777,868,683,505,718,878,993,
348,150,693,353,189,222,492,910,214,117,262,810,976,326,308,405,011,832,080,
570,338,716,683,931,583,207,592,545,828,337,827,633,508,785,356,326,183,204,
400,372,883,046,656,096,378,718,878,717,581,951,123,671,231,543,458,333,009,
849,124,095,631,638,609,918,031,889,505,614,109,239,298,929,196,790,084,187,
410,281,629,013,450,313,263,846,547,576,055,128,716,848,690,042,615,927,807,
835,715,413,684,368,650,397,710,287,811,552,650,993,452,730,760,115,752,872,
516,267,559,656,597,909,671,203,364,932,122,121,316,849,795,638,920,364,455,
550,511,947,945,540,268,052,563,762,116,391,412,189,632,410,017,939,852,721,
856,133,802,891,723,079,786,419,113,633,347,087,076,627,153,811,366,098,509,
960,935,267,264,392,887,903,005,439,879,856,930,327,577,192,273,203,527,259,
309,360,464,959,139,059,794,114,555,792,043,547,724,976,697,854,150,789,528,
193,377,779,655,189,660,807,196,848,494,722,326,997,746,772,763,981,910,931,
208,317,895,671,469,937,109,633,407,647,947,909,691,836,102,627,909,243,543,
015,278,018,956,618,191,107,933,628,573,616,849,349,888,998,272,981,421,443,
282,835,848,453,330,966,658,112,361,661,684,847,843,919,764,006,149,266,977,
668,154,153,632,408,815,378,025,137,116,793,140,787,126,890,421,384,967,095,
900,366,018,396,877,177,546,339,079,886,732,203,885,900,177,871,454,743,294,
510,095,116,894,984,631,746,124,005,206,725,102,801,643,043,452,083,904,175,
123,452,058,306,421,408,911,931,184,152,779,314,175,918,868,618,737,036,519,
667,772,380,099,542,714,973,739,837,063,052,869,865,831,683,123,887,952,878,
816,278,813,240,938,029,796,826,197,064,602,034,929,316,120,806,209,260,171,
159,197,008,544,588,500,843,918,073,476,465,267,452,584,718,886,089,337,806,
610,622,435,999,682,451,116,385,515,638,214,533,102,565,927,279,533,100,417,
541,834,165,611,845,260,034,384,320,568,810,533,005,430,064,240,165,772,377,
619,526,386,535,593,664,701,843,957,308,496,318,689,048,884,752,927,048,504,
463,942,474,336,104,671,679,020,876,186,358,114,576,954,118,017,538,509,925,
194,219,479,119,585,839,185,485,898,757,280,285,368,867,278,679,070,169,979,
395,111,526,273,322,185,992,640,272,780,868,875,804,992,655,280,738,957,038,
985,804,277,496,588,655,584,601,200,251,781,065,544,396,349,213,015,584,104,
119,233,697,664,124,423,342,500,701,980,081,497,531,359,868,260,439,413,287,
006,494,083,118,189,185,897,531,508,524,546,311,958,335,255,352,984,360,292,
595,847,133,264,077,094,382,160,019,077,912,584,819,951,584,780,172,861,374,
143,971,746,194,324,213,731,959,647,709,962,903,950,431,408,936,448,711,083,
375,053,858,616,893,225,579,311,139,369,513,943,440,135,877,913,072,191,436,
573,205,989,169,748,374,143,352,122,086,476,593,151,978,937,694,561,134,739,
415,473,490,621,416,302,611,808,343,820,227,849,023,728,204,593,488,072,307,
752,385,230,053,466,407,097,386,812,526,150,803,898,039,009,294,472,325,831,
007,215,286,308,913,637,308,400,418,722,292,816,523,850,756,965,205,332,743,
780,522,475,193,562,921,883,306,600,324,089,398,379,928,488,061,564,024,325,
242,942,715,784,474,801,923,274,616,521,940,809,865,741,528,805,221,121,582,
662,823,282,632,239,853,937,866,828,720,390,069,831,880,625,918,552,486,964,
917,175,322,366,595,935,016,310,952,513,433,186,336,249,779,662,575,223,268,
458,722,736,480,131,431,010,990,265,577,730,836,735,410,785,337,231,724,327,
798,157,165,507,042,193,753,166,667,615,522,307,022,038,429,591,965,355,651,
569,403,370,117,081,192,084,508,083,251,596,571,908,781,417,441,987,678,410,
378,123,477,766,084,680,473,818,303,922,208,772,366,044,571,029,902,311,475,
752,250,512,438,046,535,555,918,035,153,626,626,907,354,319,964,805,312,009,
315,712,658,523,201,506,153,044,277,157,914,385,944,773,056,575,523,364,593,
990,861,577,004,651,506,102,647,473,362,448,517,070,134,979,851,505,379,728,
297,183,474,815,402,168,316,501,156,607,565,204,109,577,211,848,552,401,299,
119,117,952,772,530,143,750,182,027,433,378,991,568,889,443,203,478,908,327,
346,012,635,651,125,804,360,114,118,359,237,790,225,976,120,252,635,084,591,
439,614,977,555,974,610,079,956,759,960,973,567,893,073,822,078,464,588,465,
081,628,930,101,170,661,312,944,655,519,502,556,102,863,790,949,475,979,177,
717,575,782,169,632,490,119,913,194,260,961,820,271,771,366,537,220,854,642,
810,939,615,954,120,382,655,508,983,436,172,674,692,460,545,090,210,783,445,
253,644,167,613,010,192,683,015,982,076,765,176,703,905,024,358,158,741,366,
190,082,518,442,076,492,966,397,403,563,812,150,594,454,196,524,134,516,017,
917,483,822,460,039,076,129,356,368,323,657,523,231,341,504,211,158,545,578,
572,509,892,561,875,529,224,423,978,605,758,955,186,623,791,039,532,745,453,
856,632,623,858,738,299,493,191,729,685,990,123,409,423,998,502,508,900,288,
781,327,209,706,639,741,051,485,913,347,296,790,628,078,440,448,314,922,299,
631,562,193,596,718,046,805,626,246,493,244,735,774,908,823,033,700,306,848,
799,016,549,582,916,543,328,384,650,142,480,372,235,033,167,009,801,641,642,
742,726,168,137,518,304,581,591,922,662,965,990,492,236,967,692,856,831,107,
722,217,905,589,958,671,715,359,188,146,308,678,106,924,345,853,436,744,663,
092,586,958,197,358,425,042,525,612,715,138,106,143,865,381,528,415,403,895,
652,840,639,211,024,817,500,083,773,933,526,395,377,172,953,881,053,207,901,
863,726,911,461,939,669,767,614,920,153,998,042,957,701,942,762,648,035,430,
993,400,051,296,216,192,671,739,351,858,198,041,915,240,019,793,192,478,861,
972,744,371,630,950,319,825,808,151,867,341,210,834,659,008,820,774,405,577,
264,068,841,191,216,373,572,155,534,506,660,164,377,712,939,005,779,970,010,
322,683,719,742,874,851,851,773,172,793,520,398,844,623,465,266,946,735,635,
985,891,166,407,597,041,860,597,031,838,789,646,649,725,467,717,251,753,649,
187,060,164,751,944,320,409,220,383,358,062,848,470,785,044,070,243,678,740,
325,790,044,019,577,650,976,036,803,564,547,654,606,219,514,266,128,696,256,
592,521,068,449,749,594,152,756,967,356,675,897,171,893,907,767,673,271,659,
512,903,085,959,396,690,816,631,913,939,210,935,858,577,080,293,785,547,206,
676,817,618,468,529,068,556,370,372,350,509,245,439,439,192,996,650,661,988,
994,552,659,111,829,520,722,176,040,009,923,182,338,691,184,658,368,723,882,
088,254,251,270,993,121,818,297,240,737,069,568,195,546,092,455,180,159,972,
167,169,301,919,198,057,621,489,482,359,011,476,835,160,954,025,979,220,471,
272,794,237,657,023,294,429,292,316,309,786,546,807,729,351,481,597,709,601,
220,935,773,686,210,632,065,491,416,866,587,859,051,239,003,748,027,050,031,
445,763,344,263,735,024,399,309,420,497,081,134,884,340,121,490,508,337,770,
058,853,209,237,757,673,507,909,351,950,407,078,990,923,048,442,608,935,526,
655,772,987,359,671,830,892,290,298,386,750,045,652,142,986,095,134,865,682,
570,349,392,789,479,433,904,687,497,736,590,318,839,476,932,142,456,727,461,
017,854,260,114,238,510,438,307,275,415,309,247,109,636,792,755,949,211,407,
126,400,226,487,678,973,345,022,636,994,844,133,551,733,295,521,432,812,389,
454,532,256,347,613,476,382,675,476,104,615,180,565,466,926,641,092,310,968,
757,800,403,006,201,038,623,279,553,777,736,387,688,887,364,929,067,114,359,
339,608,423,990,378,065,308,031,538,933,120,418,237,411,523,326,700,188,909,
626,916,502,834,846,239,921,654,334,005,562,631,169,436,191,315,458,886,289,
078,531,561,509,660,524,328,676,168,634,725,790,128,865,113,519,120,884,260,
969,349,256,342,459,954,050,962,816,209,291,996,577,084,978,756,989,467,728,
957,383,788,342,627,814,461,060,246,824,493,018,133,602,484,704,660,829,929,
651,997,042,870,047,326,694,038,610,818,350,349,073,019,936,813,023,236,476,
458,085,832,069,958,778,621,035,183,919,012,460,848,415,099,041,369,766,329,
514,772,348,485,997,609,397,000,099,937,941,036,606,628,625,732,117,333,577,
879,768,491,370,614,719,991,548,568,621,046,622,579,003,257,868,498,479,291,
305,820,342,537,452,870,372,845,115,938,126,513,752,409,977,911,830,092,625,
002,215,369,470,133,623,934,517,169,226,691,045,032,649,199,741,106,688,151,
813,872,481,648,689,516,082,800,680,702,289,736,863,729,265,198,080,489,592,
602,775,356,008,144,167,003,301,525,847,789,599,585,536,117,194,880,345,346,
446,717,063,929,904,753,494,576,399,613,365,267,696,968,804,894,525,436,565,
915,986,232,307,824,785,336,748,029,714,453,423,069,474,829,140,074,715,341,
874,179,461,240,383,366,887,322,707,272,200,153,540,446,389,860,322,785,236,
806,659,544,183,676,057,794,526,248,309,405,523,628,448,277,821,922,884,336,
989,947,144,339,773,839,190,988,306,637,498,173,933,654,200,043,524,529,568,
677,261,457,998,827,322,757,237,770,483,193,269,505,136,404,572,114,185,177,
969,525,432,430,843,778,533,477,292,709,068,710,049,092,243,840,533,247,601,
415,504,825,704,777,688,911,073,904,457,068,441,333,274,343,765,969,961,494,
176,623,796,256,655,449,474,855,090,535,814,498,812,180,723,864,704,302,771,
097,993,837,077,020,992,176,150,090,297,732,827,184,054,816,734,444,382,471,
016,770,623,273,401,016,468,063,439,163,682,129,638,196,492,452,832,978,997,
031,056,868,404,529,407,614,838,017,472,282,484,103,524,916,746,330,466,362,
073,184,976,945,806,870,695,492,883,904,457,645,241,174,170,134,677,650,183,
613,516,312,780,906,638,849,016,522,289,368,492,461,959,725,786,545,760,400,
954,883,192,830,670,709,629,895,900,678,762,466,261,907,836,727,443,262,472,
642,371,358,079,145,494,672,540,759,786,711,048,828,484,487,672,987,374,122,
476,572,745,360,442,109,556,365,633,192,268,017,224,610,097,861,071,968,701,
416,544,408,208,485,008,448,847,135,269,248,729,907,687,919,038,183,132,294,
230,234,596,436,644,561,748,373,627,439,257,173,488,968,653,103,876,352,723,
751,244,176,185,232,257,011,503,931,910,162,524,523,919,850,123,669,607,152,
655,409,271,043,262,290,488,758,483,884,986,349,390,184,510,337,705,901,299,
180,452,179,562,811,343,140,344,177,404,363,529,858,340,293,338,277,522,828,
706,268,754,785,420,197,310,747,410,678,440,351,779,987,537,381,518,407,942,
715,062,612,254,025,889,984,746,381,253,893,240,300,034,205,914,671,186,101,
092,651,973,204,119,901,586,793,858,974,439,956,926,971,773,182,879,794,099,
425,384,955,533,404,046,749,623,258,625,841,026,104,939,046,256,381,925,210,
629,487,077,514,693,580,379,425,962,221,163,226,230,049,729,188,706,394,836,
576,394,904,705,440,598,422,740,456,829,353,050,777,865,494,545,151,009,874,
690,399,717,178,030,373,369,888,437,538,241,157,445,948,576,748,606,051,290,
646,885,158,873,388,156,713,065,671,314,413,802,183,021,773,671,160,993,848,
424,695,511,722,727,332,001,754,564,943,277,837,934,235,896,426,144,090,562,
109,013,772,209,295,653,076,463,619,216,882,015,056,045,312,876,624,527,371,
653,357,786,914,346,953,589,632,588,230,714,415,416,026,280,822,664,269,013,
003,206,246,098,044,772,194,706,445,171,761,171,227,378,309,468,464,679,892,
992,392,590,558,177,234,578,762,375,883,447,644,720,071,910,660,229,586,371,
423,679,253,090,956,014,678,366,186,883,042,795,809,108,895,745,768,136,516,
377,800,491,748,247,053,223,926,696,905,087,310,292,925,311,558,251,477,600,
623,470,093,928,865,036,270,182,133,205,664,663,604,302,829,552,305,898,452,
869,049,854,381,821,046,211,015,780,254,773,057,775,133,009,904,481,438,401,
774,339,215,287,973,806,952,550,365,092,070,218,457,640,765,797,853,492,540,
806,021,297,621,830,569,228,142,758,515,744,437,995,545,371,832,493,122,159,
188,259,656,721,654,326,588,018,109,223,578,409,493,826,335,539,560,729,149,
120,909,003,596,491,931,233,942,945,744,107,880,598,515,202,801,031,254,099,
577,692,150,934,665,381,445,120,097,727,713,229,352,307,265,485,745,703,602,
245,330,527,009,333,160,658,360,794,883,905,592,785,180,071,130,451,770,038,
820,745,947,742,830,768,970,298,604,010,683,102,950,380,931,353,246,657,396,
756,054,139,396,929,777,905,434,594,594,903,467,136,289,027,103,739,886,788,
915,528,632,139,934,089,350,003,403,306,178,062,012,563,185,372,024,855,242,
862,505,543,468,756,528,092,674,050,305,588,495,600,792,615,308,728,600,431,
751,087,225,189,316,324,143,183,841,723,857,750,378,303,311,482,327,155,637,
530,601,301,358,154,606,478,325,343,865,059,540,929,022,963,296,344,928,767,
171,842,616,982,069,917,279,821,877,653,325,712,960,063,318,035,825,234,633,
203,572,318,270,049,541,224,191,807,485,901,114,699,665,671,863,977,918,510,
236,407,610,154,889,639,329,081,940,426,171,829,143,106,752,830,237,591,170,
365,531,435,109,361,441,339,619,771,571,994,801,983,836,926,526,854,003,036,
856,240,494,367,472,641,253,032,035,212,656,017,373,483,692,419,666,487,475,
116,364,220,374,285,457,840,539,491,683,299,796,867,916,398,867,350,333,225,
530,906,442,644,892,694,060,705,408,873,797,088,500,433,449,117,749,765,798,
279,907,539,632,199,209,676,962,490,153,754,117,029,485,944,724,285,442,831,
489,374,856,862,229,038,808,179,635,533,228,478,059,202,543,906,829,618,521,
942,648,032,961,274,597,992,292,345,144,532,026,374,145,713,308,335,026,352,
137,154,836,766,484,829,724,915,965,048,836,172,245,747,542,746,062,734,072,
622,815,245,974,209,727,654,153,740,774,861,888,100,989,392,359,583,587,150,
820,790,335,065,325,019,016,660,138,310,069,166,242,542,063,349,414,755,918,
554,112,565,136,942,731,515,821,765,063,874,447,861,866,212,811,802,632,223,
283,112,947,313,427,609,650,598,303,638,376,555,139,106,144,756,948,275,947,
845,135,033,448,845,227,429,007,441,727,283,883,213,829,699,511,607,141,729,
393,209,206,557,135,548,202,204,544,835,740,544,605,107,161,321,575,905,157,
505,762,928,573,495,707,505,748,010,456,781,623,447,434,093,742,530,631,743,
464,959,821,389,850,265,396,624,640,564,396,980,560,764,517,251,295,831,959,
206,353,591,345,917,848,650,954,883,276,631,036,541,655,254,362,079,568,583,
445,266,612,767,418,600,175,312,423,214,900,577,621,073,462,223,865,194,930,
774,666,989,730,442,169,705,651,313,845,331,504,115,679,139,017,137,508,732,
353,657,526,903,636,775,917,320,391,247,631,704,165,814,362,102,285,586,034,
523,662,453,870,969,223,038,355,034,553,661,398,339,855,119,144,096,317,610,
632,987,988,470,414,382,654,591,270,027,053,512,304,405,966,872,818,983,965,
009,204,767,552,816,411,090,881,476,807,256,217,333,239,474,842,762,035,581,
614,757,045,869,138,143,304,095,248,150,093,468,592,854,370,279,209,495,270,
917,531,734,806,734,789,309,860,384,944,107,333,357,411,473,550,692,774,560,
148,441,225,262,286,739,034,074,224,365,469,112,654,482,182,239,297,606,956,
109,707,094,275,580,133,764,836,735,169,280,366,698,698,983,770,996,590,895,
941,549,089,727,714,711,406,290,831,000,243,544,983,909,600,580,064,084,948,
088,383,548,626,084,366,269,162,584,430,059,517,223,575,193,353,719,381,168,
772,669,625,111,890,399,682,450,924,712,652,187,394,664,670,552,281,060,157,
938,223,938,150,127,628,044,447,336,247,897,666,499,633,868,855,194,721,556,
036,336,560,456,668,047,090,402,248,556,179,096,503,682,722,998,707,941,351,
255,061,599,092,300,139,706,233,995,081,262,664,105,887,971,500,190,116,845,
642,645,244,521,837,594,386,730,562,315,027,517,234,104,467,950,118,635,341,
855,658,164,898,231,365,570,092,325,594,696,801,945,977,331,948,479,716,476,
727,771,474,461,148,550,844,272,291,548,185,649,019,751,771,594,237,456,061,
941,494,208,487,856,911,388,145,313,637,116,840,483,298,485,763,934,774,557,
188,846,109,095,408,156,726,171,724,638,808,122,928,786,190,479,540,989,377,
909,948,690,158,923,836,351,897,541,084,475,125,117,460,000,864,012,029,932,
594,507,272,546,046,129,842,556,308,732,068,509,419,225,515,127,041,974,768,
267,982,661,265,973,355,634,453,833,434,478,806,728,713,526,668,564,815,058,
204,223,635,283,171,324,499,773,314,095,668,953,448,353,437,629,618,277,495,
381,544,917,192,040,259,870,411,991,730,737,231,580,543,360,821,744,157,221,
338,410,870,314,890,184,795,361,225,610,817,163,099,940,783,977,555,825,646,
366,677,489,986,867,882,632,430,186,277,842,800,390,304,440,838,968,599,825,
246,390,884,606,474,132,192,836,982,545,787,620,183,025,971,749,724,500,232,
177,233,947,420,092,458,100,589,412,051,013,525,693,116,300,606,077,035,365,
250,797,648,846,819,044,927,958,345,781,334,209,786,725,659,037,793,054,337,
555,285,124,591,314,370,382,560,056,866,425,182,682,005,391,620,738,981,086,
297,823,949,549,619,981,679,930,497,236,928,051,685,284,592,531,812,077,256,
601,385,323,450,872,469,535,181,236,840,826,431,621,571,959,198,280,851,156,
812,447,689,226,049,993,561,695,665,800,234,947,821,483,633,212,870,291,932,
603,716,946,436,337,445,814,481,271,123,458,169,377,561,886,842,978,584,872,
222,840,214,493,262,614,798,250,641,087,770,715,191,510,213,615,993,634,608,
928,815,980,904,635,420,241,402,954,206,938,250,932,011,142,865,740,345,477,
829,571,525,277,819,010,087,092,877,497,165,450,986,962,182,134,357,382,046,
548,452,103,493,724,245,064,162,273,585,088,017,646,563,461,143,428,962,144,
701,962,587,982,896,406,065,896,052,627,492,847,572,383,568,682,726,108,055,
803,592,396,459,205,137,940,718,358,886,925,728,139,927,374,125,968,358,312,
526,773,108,872,053,670,433,199,596,957,978,068,802,946,483,458,426,696,511,
090,326,494,236,933,742,954,504,895,179,759,380,919,135,060,242,628,230,108,
936,547,813,348,118,711,483,257,801,194,134,483,124,647,973,436,366,793,798,
041,751,034,492,222,211,665,981,676,670,784,113,956,132,538,167,166,841,194,
936,990,368,466,682,123,619,217,459,931,506,848,659,778,681,548,850,177,211,
075,526,002,713,891,672,610,594,005,496,043,307,829,976,704,441,005,412,595,
328,930,422,063,977,027,673,061,997,129,511,998,293,824,539,000,404,039,498,
260,810,182,867,519,937,317,518,409,026,928,481,148,719,143,193,713,868,024,
926,156,508,059,675,019,182,400,717,154,097,676,760,594,882,394,563,523,164,
854,515,276,412,229,952,020,814,654,095,672,847,007,726,236,699,354,400,357,
883,365,426,267,324,986,903,702,245,973,494,409,673,098,943,279,134,387,168,
155,374,409,310,553,968,826,200,101,762,927,714,751,833,699,995,225,155,065,
590,125,476,706,673,022,911,866,419,898,663,923,145,885,296,031,915,346,865,
991,684,779,887,854,278,300,989,832,356,485,292,852,410,966,328,395,830,857,
285,171,286,113,801,830,676,881,926,221,638,292,512,666,797,804,088,539,662,
406,147,904,405,768,884,942,972,078,313,419,993,682,671,423,884,619,109,401,
627,418,992,649,820,309,173,983,520,420,664,942,242,520,081,822,801,337,007,
451,233,130,312,268,915,690,782,059,209,874,386,003,639,140,233,690,881,876,
655,690,056,984,177,635,520,650,940,342,972,604,505,775,895,350,813,257,907,
791,151,921,337,603,654,836,791,323,439,226,951,832,948,777,644,457,839,066,
255,741,416,395,961,549,428,804,217,768,024,664,083,865,985,093,700,867,102,
353,530,149,671,092,023,425,462,445,692,992,774,073,767,885,789,559,246,877,
613,724,020,269,043,922,578,324,942,110,441,383,501,209,912,269,732,578,461,
964,721,315,079,300,238,412,874,368,032,756,648,263,233,864,015,969,422,860,
255,944,033,926,004,749,453,645,308,532,138,885,910,236,829,849,063,849,990,
779,197,197,747,885,903,986,442,694,336,718,309,307,302,891,726,726,661,085,
690,076,341,100,730,639,538,844,565,503,723,809,125,135,765,750,186,597,923,
024,238,234,070,736,705,125,224,231,384,454,487,665,093,060,505,259,392,845,
109,842,221,459,233,109,661,857,586,480,299,212,003,209,532,849,521,047,442,
338,802,411,886,946,589,394,623,364,931,058,094,408,137,431,829,369,641,617,
081,421,508,866,397,219,114,871,142,804,194,267,886,897,821,619,164,260,477,
839,738,574,910,906,493,525,021,617,917,397,396,014,159,667,368,313,695,265,
492,608,084,992,644,345,409,632,479,595,197,532,596,033,620,705,754,191,668,
343,996,619,120,474,001,081,684,420,626,179,671,236,554,368,307,845,383,210,
307,548,137,258,265,606,764,720,092,629,060,483,984,341,219,423,445,376,556,
663,742,009,285,322,083,619,570,064,894,630,356,460,737,394,502,442,798,801,
964,078,874,256,730,143,395,602,765,661,330,487,937,540,334,789,129,797,837,
260,198,997,990,823,786,571,467,840,482,019,648,831,039,708,542,290,417,338,
135,226,641,808,969,289,325,016,635,989,917,412,775,819,986,802,797,013,101,
879,792,263,083,110,913,046,272,484,018,247,354,767,407,482,512,117,663,701,
679,117,655,222,846,816,382,158,309,473,878,706,749,134,542,137,142,217,350,
243,945,567,799,438,275,317,893,474,877,012,443,028,006,433,994,555,134,501,
624,919,836,984,905,789,051,504,076,214,170,211,087,432,533,475,405,699,386,
719,097,000,324,031,991,172,277,174,297,368,529,749,917,100,889,238,789,048,
861,839,400,681,331,336,242,554,889,392,527,696,270,039,033,401,229,995,346,
908,215,226,296,775,383,097,276,288,764,803,355,204,626,637,176,595,084,195,
937,325,592,300,596,711,625,210,719,329,751,488,435,835,129,054,523,954,642,
234,661,062,492,698,176,011,482,144,480,926,086,278,321,927,816,115,081,395,
278,283,409,278,007,085,358,711,425,047,535,089,744,144,903,275,007,624,772,
870,633,290,746,935,040,590,158,845,182,412,985,673,775,551,483,298,592,149,
367,069,738,217,260,865,521,108,730,638,639,083,197,888,027,731,284,742,831,
044,532,807,347,849,414,524,185,847,011,584,403,153,957,832,191,250,625,896,
792,476,238,228,618,163,718,869,656,485,266,236,679,906,940,340,393,972,444,
476,214,532,730,443,125,676,881,526,388,237,224,117,360,173,064,753,290,197,
668,651,290,784,864,204,654,772,973,042,271,613,281,860,920,271,560,972,599,
221,519,292,700,183,412,806,584,733,902,076,732,850,711,964,597,093,908,720,
933,791,811,701,374,517,103,949,772,273,547,383,547,071,254,828,103,192,185,
866,214,258,765,278,104,718,706,016,867,434,557,090,272,598,965,362,821,889,
753,906,103,788,924,166,992,961,743,551,954,501,042,769,942,364,952,081,354,
872,260,105,804,287,030,465,947,543,822,683,144,834,202,847,106,267,090,233,
611,410,527,267,672,362,507,625,942,709,940,644,582,977,042,307,406,035,095,
623,414,450,889,789,084,441,311,247,047,348,921,430,177,053,992,591,324,559,
759,742,655,323,960,744,744,824,393,008,923,096,354,045,183,905,287,953,985,
832,589,419,550,721,093,078,657,134,374,711,344,184,207,205,356,156,924,927,
987,791,810,379,897,121,516,284,241,439,654,640,281,128,811,086,120,305,238,
113,219,345,392,841,421,122,004,376,323,962,219,572,916,785,031,921,950,353,
430,840,989,618,507,814,691,234,572,472,325,472,035,762,133,987,859,425,381,
574,926,507,146,492,257,974,651,722,686,306,577,907,553,632,081,594,930,600,
644,609,310,768,820,352,418,479,469,239,017,222,179,322,405,059,203,057,085,
356,624,315,012,787,155,704,095,666,748,290,131,389,836,973,101,245,959,745,
848,241,733,830,437,575,498,667,132,145,572,516,715,247,477,357,414,925,601,
721,323,562,591,538,884,911,380,380,049,356,718,049,039,591,331,814,869,999,
356,366,100,262,582,594,405,773,189,470,638,215,662,238,595,743,596,621,431,
048,150,500,321,342,294,500,121,176,328,356,402,943,515,976,619,030,347,072,
076,502,988,647,793,996,756,869,437,736,066,519,950,003,744,231,201,219,900,
255,094,186,709,241,228,906,300,493,572,060,521,831,630,010,435,269,419,699,
608,213,339,358,609,886,332,537,900,844,275,677,464,865,611,272,621,138,724,
745,916,624,918,659,686,332,122,944,295,685,520,400,690,622,531,565,763,332,
728,574,269,823,984,512,499,206,629,284,926,963,869,071,549,156,910,567,583,
549,720,366,477,774,092,365,720,441,248,460,844,886,298,294,694,489,107,558,
221,817,222,005,979,081,529,185,088,611,855,093,337,661,991,281,186,691,165,
256,161,938,575,941,105,433,786,282,136,728,566,983,121,826,277,011,884,495,
893,989,252,379,545,806,218,058,936,265,366,938,842,479,311,772,382,314,278,
668,700,639,741,393,989,702,863,668,231,357,124,089,576,427,598,910,455,418,
711,160,120,281,154,487,574,158,278,690,641,684,930,505,432,694,654,953,652,
126,531,727,341,431,147,059,294,412,881,257,580,639,959,282,023,152,581,255,
688,253,405,054,707,173,829,881,612,111,515,476,673,132,266,542,637,769,428,
968,521,388,112,713,212,698,954,259,190,526,131,812,621,499,560,199,617,458,
697,410,554,291,504,419,312,455,489,427,209,294,296,948,987,911,447,969,331,
263,512,742,007,999,458,011,708,796,988,733,937,049,669,773,277,912,212,151,
094,312,438,251,216,626,503,610,198,465,974,570,535,865,591,114,764,877,322,
090,099,328,164,550,550,399,276,353,393,284,797,816,611,297,629,561,005,316,
483,351,262,313,044,341,343,086,113,903,052,439,199,921,328,944,585,110,184,
953,861,961,290,371,850,767,360,749,716,959,401,923,083,452,694,987,064,303,
706,720,798,020,661,685,521,628,278,296,900,466,677,323,974,094,924,745,803,
192,170,290,112,591,570,179,969,416,022,214,738,285,810,024,090,031,909,778,
209,003,531,092,701,293,730,875,923,844,679,315,789,844,068,038,759,339,763,
892,073,967,506,822,979,386,353,465,733,612,416,818,334,759,094,198,153,584,
111,731,073,357,130,610,448,866,184,107,016,345,365,662,362,385,328,209,856,
282,031,728,922,017,506,548,519,560,231,393,664,201,387,734,091,774,050,494,
166,150,478,349,094,048,406,006,375,903,626,414,595,348,912,759,287,123,217,
569,525,802,544,237,848,494,742,199,020,174,771,856,277,304,937,990,363,010,
483,985,425,342,184,888,238,135,935,026,905,872,141,651,388,644,035,774,586,
033,957,180,215,639,915,033,842,979,701,652,903,977,357,466,649,295,322,696,
583,677,514,516,233,641,691,712,200,634,143,583,188,687,304,278,744,034,860,
519,507,632,517,278,558,832,385,590,338,989,947,130,490,436,571,827,574,930,
093,355,159,130,374,616,328,303,192,789,253,755,522,984,525,008,045,023,985,
777,053,676,275,660,985,089,916,720,566,433,038,087,011,389,924,066,961,781,
465,507,357,962,509,903,833,733,752,491,819,332,930,747,272,653,348,659,313,
989,337,475,838,113,051,403,244,623,077,894,080,366,649,161,814,222,000,832,
188,872,644,106,426,603,616,220,491,732,953,971,611,543,682,859,788,537,128,
145,507,407,159,045,353,659,263,152,395,901,553,514,892,381,452,971,380,172,
299,340,404,339,121,181,420,319,504,153,351,706,055,342,782,949,149,443,593,
202,254,087,469,543,085,205,574,255,828,344,973,870,213,097,163,588,164,234,
102,397,216,659,545,789,279,205,154,428,745,929,381,106,838,657,290,855,026,
534,082,606,479,634,408,541,184,730,081,119,870,079,865,837,333,856,813,380,
134,000,106,091,858,667,880,916,379,069,471,295,275,618,181,313,948,440,229,
865,422,963,006,528,999,326,940,065,616,800,063,729,098,053,867,150,214,653,
071,295,052,538,545,996,294,553,946,413,461,649,222,667,724,616,710,925,300,
404,448,827,865,074,515,366,523,807,693,423,593,853,768,524,025,657,114,883,
813,077,319,120,497,058,528,971,415,950,312,475,915,979,154,454,013,082,762,
178,323,480,410,990,739,980,401,597,808,248,926,471,761,163,145,244,834,507,
868,623,777,409,022,176,207,619,998,427,483,638,694,792,907,472,493,140,168,
201,585,081,981,433,822,772,894,438,012,859,886,044,106,352,650,327,589,514,
397,392,381,836,105,973,714,550,022,115,772,529,896,525,439,080,458,184,688,
842,806,030,459,483,070,736,398,751,355,274,734,350,697,925,787,928,185,755,
086,053,996,343,098,135,556,605,690,408,474,568,825,370,495,941,104,813,934,
609,566,060,228,330,280,923,096,605,240,029,214,916,903,885,946,710,382,715,
369,053,733,079,161,921,184,454,379,044,977,808,661,491,979,759,417,722,318,
522,380,551,365,402,437,063,537,624,805,532,175,601,180,029,111,739,045,688,
508,687,153,462,491,570,238,174,138,865,490,114,784,395,553,969,772,416,202,
850,300,399,664,647,277,062,627,075,767,186,344,668,197,714,979,897,519,039,
917,995,968,770,907,665,533,772,644,378,651,673,241,670,550,629,736,734,769,
843,914,532,723,387,099,467,018,367,901,296,176,087,154,124,460,610,805,666,
242,171,527,427,879,528,121,747,520,138,421,922,692,530,866,615,420,030,686,
439,540,295,988,674,491,742,960,405,804,102,541,739,489,141,723,353,679,020,
587,822,896,237,276,510,792,425,520,663,355,657,664,676,114,491,369,633,777,
200,826,279,961,135,407,295,316,995,750,105,730,288,642,184,293,182,362,504,
124,488,733,066,650,025,843,843,340,635,954,561,894,318,719,752,770,311,850,
309,129,783,943,614,914,842,456,819,162,324,224,696,937,013,501,541,333,087,
715,961,695,975,582,776,083,912,007,099,833,157,083,137,356,721,028,679,508,
205,288,601,673,808,088,919,838,755,646,601,125,361,223,310,725,702,411,829,
641,022,838,799,683,585,905,086,687,218,404,737,353,892,044,744,293,354,143,
953,102,704,912,068,356,493,441,453,155,042,624,106,612,636,456,654,768,527,
137,260,247,992,155,543,091,695,855,795,516,668,979,612,697,755,995,259,272,
522,491,637,651,661,317,280,319,254,406,532,144,369,590,983,615,647,497,608,
496,979,482,852,750,623,533,541,529,958,047,223,916,113,628,347,077,994,382,
227,001,341,816,385,493,421,722,760,507,914,713,840,419,990,075,197,490,743,
257,000,419,458,562,118,492,483,223,295,121,865,698,675,639,481,549,959,831,
468,402,652,014,648,633,727,881,026,523,175,517,179,290,126,021,916,265,558,
780,636,543,627,166,173,283,503,586,913,356,760,219,990,452,835,481,401,633,
754,479,530,617,634,776,206,900,535,666,799,477,672,161,246,612,501,388,991,
333,498,919,130,736,801,496,291,253,997,387,712,101,030,354,552,439,128,519,
813,241,838,566,891,472,530,319,462,076,983,092,156,692,917,805,956,865,577,
675,824,355,645,632,873,144,302,306,155,652,062,758,153,154,067,800,658,240,
389,007,563,148,678,404,912,757,771,741,591,576,558,526,966,893,530,126,098,
571,315,479,151,675,132,458,798,212,686,408,063,825,466,042,599,916,751,320,
792,893,310,036,237,331,633,230,665,905,649,537,653,618,289,837,420,431,257,
902,343,303,420,930,897,178,547,901,863,281,791,628,389,758,391,831,899,203,
327,775,071,726,918,595,319,002,728,351,996,501,759,277,401,732,910,479,762,
782,014,314,341,808,431,446,282,713,671,139,294,191,239,290,528,771,423,237,
489,394,625,770,067,332,196,729,217,728,845,240,550,377,014,610,771,303,595,
975,036,976,275,206,977,831,004,921,216,957,638,268,965,023,630,648,119,828,
904,428,540,495,689,160,252,971,748,003,495,089,323,834,506,934,190,538,243,
247,099,891,853,025,441,747,373,708,881,166,014,129,678,245,404,627,967,585,
056,074,770,746,372,653,745,328,222,133,021,085,690,687,241,298,218,418,609,
247,584,534,133,625,057,773,032,208,124,883,339,441,052,105,577,777,236,504,
996,825,811,019,907,797,328,538,762,526,528,716,447,567,821,277,038,552,563,
472,276,764,497,745,231,764,151,944,469,033,487,748,790,398,554,584,230,802,
505,512,044,396,182,882,403,400,598,603,453,339,771,476,536,471,442,739,650,
028,272,749,349,718,081,070,498,750,398,606,943,998,286,012,520,373,026,454,
359,569,131,190,058,315,571,891,813,333,202,672,355,270,014,409,007,490,459,
280,794,401,805,295,844,192,789,625,379,539,610,846,624,867,920,237,062,140,
375,690,579,789,466,248,327,114,454,137,321,247,897,214,932,596,948,777,215,
313,899,618,993,164,460,601,440,225,050,347,259,387,841,175,087,167,207,154,
979,114,111,226,937,852,384,690,823,963,843,384,569,104,882,936,770,797,993,
320,802,173,176,093,844,579,735,894,971,947,250,972,084,733,299,390,879,632,
776,306,513,131,139,077,541,017,132,566,491,625,718,649,307,676,820,729,585,
704,837,947,448,211,764,469,149,285,713,028,717,130,494,204,111,950,329,131,
801,320,816,107,375,451,083,827,888,708,660,324,607,002,984,658,427,936,822,
870,345,289,982,323,404,834,930,446,951,362,628,010,437,432,920,956,038,932,
652,929,760,916,226,165,227,691,212,894,175,249,579,206,296,852,809,387,168,
083,646,209,519,467,299,021,432,865,857,852,066,978,138,845,860,192,109,664,
874,237,831,221,956,872,238,646,714,259,794,364,429,839,777,810,863,703,665,
373,603,776,016,860,706,531,741,855,364,349,819,179,092,677,273,458,417,817,
902,975,494,196,465,777,758,682,832,483,460,819,794,020,414,197,004,216,629,
940,523,379,639,594,236,869,768,263,060,405,214,685,940,400,018,362,320,905,
567,779,227,347,111,319,195,667,687,535,584,161,643,552,810,589,764,525,835,
041,963,198,547,586,045,554,071,611,482,563,149,198,187,428,720,671,664,649,
572,298,094,612,565,625,019,793,885,241,077,729,190,959,998,705,831,425,391,
740,679,668,786,418,013,614,722,366,118,176,549,188,781,293,260,763,747,337,
937,571,175,391,733,622,322,182,589,422,266,224,443,548,144,274,812,480,347,
479,096,719,941,511,232,494,788,134,956,557,681,585,943,559,871,676,031,208,
808,534,096,936,960,066,912,144,372,400,955,932,027,023,543,007,971,308,793,
354,548,936,511,103,999,181,082,319,274,628,687,904,969,966,297,326,978,405,
058,517,695,348,958,372,417,932,156,368,100,172,392,822,529,494,297,614,919,
960,419,126,325,326,844,815,614,640,554,642,840,203,293,484,291,897,357,920,
159,202,767,242,254,537,169,582,168,193,515,447,626,218,145,658,071,549,168,
081,590,922,385,396,346,849,044,608,097,304,975,479,454,487,499,141,002,086,
017,381,066,988,315,042,937,420,345,750,043,646,855,397,749,502,331,250,391,
254,158,479,867,957,865,479,189,652,453,353,666,103,696,690,937,405,462,926,
945,935,083,114,587,679,455,941,852,530,793,158,644,471,368,906,886,483,354,
809,057,718,437,687,901,419,841,412,680,841,803,349,685,049,252,770,187,436,
601,055,173,342,732,830,058,445,949,604,001,317,414,156,349,534,575,390,865,
376,091,200,719,318,359,578,878,015,012,373,508,832,367,288,333,242,163,102,
677,174,411,192,593,136,967,226,258,750,294,396,001,522,524,526,774,383,285,
990,336,472,300,282,176,521,808,089,419,095,347,627,316,529,856,851,297,236,
706,869,603,434,708,215,566,046,044,708,784,695,338,765,989,880,130,652,092,
696,134,713,063,051,035,860,130,975,216,553,477,330,968,991,674,638,600,885,
585,192,998,395,385,191,855,755,743,604,349,137,780,896,276,370,614,614,640,
716,374,496,172,675,113,379,434,656,088,064,266,519,504,082,942,979,888,996,
151,016,046,972,916,775,975,234,997,458,768,864,798,315,828,562,697,013,623,
848,303,173,952,476,537,191,560,085,468,496,454,912,418,555,606,312,439,962,
845,032,920,218,835,106,780,813,126,474,588,750,240,382,821,970,844,457,600,
150,192,159,116,463,236,496,189,111,810,316,559,351,869,715,674,024,095,026,
331,946,465,289,491,979,894,886,074,987,862,812,431,425,658,733,215,262,221,
027,947,927,053,319,767,122,343,305,574,619,103,200,946,900,856,638,395,298,
349,756,255,881,367,155,956,857,593,024,438,572,439,387,874,844,447,815,168,
539,158,450,445,841,446,053,846,587,928,048,197,954,573,566,790,686,479,586,
316,368,155,422,478,479,554,795,039,672,088,372,204,020,672,543,411,290,354,
684,206,993,749,071,465,661,907,347,568,755,170,991,112,323,845,133,831,330,
096,670,326,388,742,427,857,000,756,983,038,431,247,861,635,149,148,448,723,
145,105,976,434,871,497,273,170,069,805,327,591,161,327,443,952,772,396,989,
654,174,533,254,076,854,579,769,663,029,272,177,957,528,500,002,985,779,097,
393,226,674,657,482,930,155,285,872,119,317,234,857,922,409,882,441,737,037,
566,014,936,717,965,283,221,074,641,136,090,711,341,046,642,225,906,603,580,
098,464,045,361,825,303,275,520,353,973,833,471,229,160,708,472,469,372,885,
911,501,994,430,996,680,147,180,798,290,189,478,034,372,050,808,484,654,725,
374,989,538,781,942,536,906,832,224,044,656,203,282,389,465,205,993,960,364,
013,931,558,698,698,863,134,846,584,532,347,829,398,029,584,982,315,437,628,
575,151,625,585,526,923,792,111,068,686,492,820,354,604,445,695,057,662,958,
124,587,856,610,795,238,862,271,273,967,888,027,145,681,122,396,709,586,927,
009,142,216,691,854,322,103,436,720,720,251,821,756,512,879,379,808,932,175,
143,399,606,211,959,128,117,598,320,035,918,379,136,369,733,618,293,737,471,
185,782,036,917,470,699,006,693,023,469,436,755,400,059,952,906,490,273,573,
822,749,470,571,265,521,777,770,649,657,340,834,519,369,508,481,062,920,346,
067,867,702,171,772,730,566,837,072,436,221,905,555,339,692,903,573,983,020,
202,387,448,901,340,777,504,900,428,444,662,437,062,496,520,258,832,190,451,
619,498,812,554,034,703,001,163,031,723,747,691,886,644,663,157,586,398,093,
610,492,026,498,852,171,922,499,162,172,656,324,810,858,820,867,152,904,432,
902,107,090,115,527,388,165,626,570,883,418,225,919,575,053,778,301,624,820,
084,279,686,268,148,156,448,501,399,481,895,000,242,911,037,452,673,730,302,
999,855,496,556,670,234,865,493,522,505,266,516,381,603,510,391,321,616,937,
610,674,850,565,232,153,461,941,315,607,983,116,457,053,830,413,419,416,050,
717,848,549,837,070,233,752,200,854,074,323,696,177,337,879,825,152,242,176,
442,397,799,982,176,137,568,995,555,164,076,021,429,935,935,021,315,263,057,
515,174,213,223,810,613,416,838,627,218,356,424,479,477,295,342,062,911,960,
279,016,306,211,746,567,257,690,146,578,339,252,888,372,964,194,579,164,741,
780,003,379,845,301,733,742,538,475,310,011,838,873,530,510,322,418,124,671,
045,279,376,125,557,941,386,431,329,625,806,515,931,033,709,741,689,160,358,
651,808,797,615,087,488,990,849,646,135,303,501,962,286,118,582,891,267,074,
156,216,205,709,023,259,394,190,282,378,257,946,761,853,482,468,231,932,954,
209,098,329,658,248,414,613,002,939,405,538,662,325,784,464,375,913,365,008,
107,589,301,499,491,703,755,311,656,146,832,559,631,242,685,041,866,423,144,
282,102,525,441,214,851,847,076,594,644,428,146,215,435,208,886,341,467,691,
574,522,226,256,076,987,585,864,316,762,400,471,644,620,410,571,768,139,925,
384,065,694,158,034,273,201,474,166,745,659,580,236,402,214,449,503,615,759,
885,251,236,066,842,601,935,404,177,499,684,362,815,481,864,114,196,484,962,
573,131,129,261,075,600,720,990,284,079,485,267,446,432,630,522,490,717,298,
844,165,734,389,273,807,872,297,761,408,095,829,203,675,826,407,862,946,197,
012,968,957,069,724,447,149,038,625,264,389,815,494,533,866,584,920,066,032,
935,558,900,275,625,591,024,967,235,825,348,607,241,929,110,982,935,086,791,
475,736,957,492,384,938,683,257,786,804,484,130,707,958,205,070,440,650,745,
183,316,016,609,507,181,663,965,654,681,866,765,460,625,468,492,669,490,131,
348,815,562,535,898,198,519,751,009,767,477,902,077,305,880,419,508,425,266,
263,291,675,906,704,747,357,500,848,917,073,867,483,012,407,934,903,306,769,
542,282,334,761,750,507,572,701,699,931,408,107,969,517,541,922,593,853,673,
577,949,232,766,448,197,332,570,056,034,759,665,215,728,895,242,500,287,065,
659,337,715,868,988,124,893,267,493,199,862,765,010,198,118,923,275,668,322,
100,907,096,750,312,486,130,134,556,273,332,605,009,759,691,336,657,964,790,
027,020,972,244,709,605,363,326,730,294,617,794,194,804,497,969,267,576,027,
216,344,105,117,963,662,209,534,742,039,782,103,182,170,241,011,147,278,030,
902,011,170,587,282,653,188,012,295,756,987,539,198,563,628,096,281,425,443,
980,630,042,274,967,596,391,126,205,513,013,541,437,155,672,819,605,262,007,
781,231,166,487,678,153,889,467,588,703,802,006,931,315,417,789,649,579,373,
700,029,094,651,061,253,403,133,290,035,948,886,540,228,986,585,139,155,529,
883,811,780,847,886,546,373,865,761,417,098,690,537,328,614,210,088,013,235,
568,545,054,087,130,607,401,731,494,721,389,657,019,049,266,645,578,320,912,
766,262,304,799,508,463,303,643,487,114,368,520,616,149,706,442,389,294,677,
739,895,772,643,642,054,112,031,131,074,788,642,852,487,272,957,359,633,050,
957,785,550,093,254,957,737,003,577,426,186,783,590,916,195,323,127,520,995,
711,578,247,049,449,883,474,263,960,780,653,802,478,968,998,985,900,531,211,
855,008,074,280,645,328,153,495,029,821,206,985,195,177,750,967,369,399,388,
600,021,761,955,207,195,985,152,036,224,282,595,718,960,055,446,933,283,403,
140,212,750,291,645,267,305,903,568,060,985,442,226,588,516,344,467,996,548,
304,495,085,503,238,823,406,616,187,536,531,115,474,672,515,311,881,702,384,
429,910,154,096,183,551,769,628,724,278,263,592,817,041,612,387,353,570,305,
066,782,726,395,135,228,317,141,092,763,765,731,540,889,980,334,872,661,176,
974,453,371,499,346,250,858,147,652,942,043,889,991,476,671,493,031,685,781,
100,712,322,937,880,605,302,225,891,705,593,266,161,450,346,455,387,039,935,
979,213,839,687,097,112,452,706,606,851,234,238,628,107,549,043,590,637,342,
859,693,527,613,762,169,664,585,218,476,171,158,722,442,297,798,575,291,396,
574,128,966,898,241,500,801,860,083,598,586,758,760,945,001,780,173,047,607,
559,907,028,762,481,349,498,670,300,180,522,060,406,394,622,972,897,897,284,
219,989,354,394,300,781,901,684,279,321,438,852,741,515,383,801,794,113,456,
720,835,578,278,895,257,944,539,253,509,851,901,932,356,731,612,171,072,315,
952,067,010,407,757,201,680,526,620,348,150,667,777,692,307,923,492,699,664,
521,248,408,803,168,877,214,710,288,188,451,807,024,615,579,066,452,364,168,
672,869,549,346,348,223,524,996,151,890,720,324,633,017,983,019,861,246,619,
967,437,362,493,364,796,822,414,502,469,954,771,000,785,640,742,337,538,971,
550,323,384,420,875,182,361,842,404,740,121,069,259,107,255,562,315,166,095,
168,115,646,377,328,737,997,028,654,787,984,749,227,439,342,767,886,490,200,
870,414,910,586,074,311,828,321,036,886,437,651,071,567,174,272,360,150,721,
589,393,116,622,441,521,840,803,307,423,463,600,085,637,771,652,871,568,733,
508,126,624,945,486,418,532,624,546,352,372,336,177,753,157,570,624,723,721,
468,023,809,995,805,103,293,113,767,978,077,472,739,129,057,321,365,918,180,
727,444,160,107,183,583,852,649,702,218,667,517,782,936,623,364,536,624,712,
251,909,772,363,306,393,433,990,762,369,343,811,968,447,588,654,177,847,245,
220,527,254,252,811,878,515,061,030,574,451,164,067,664,102,638,673,891,485,
187,226,081,991,987,041,032,700,895,379,218,482,781,814,755,539,667,131,299,
559,049,874,918,508,488,264,380,453,203,467,338,120,798,185,981,788,384,836,
617,291,770,548,324,060,500,410,286,753,020,957,038,891,050,828,772,866,781,
258,299,831,954,490,930,674,797,466,080,790,593,238,321,867,857,569,554,629,
516,367,675,360,278,413,502,602,690,212,098,945,938,859,861,444,921,306,226,
654,869,387,298,247,730,321,511,951,748,848,918,508,102,546,334,184,407,176,
738,574,705,319,613,017,812,718,312,884,679,022,624,819,431,409,555,336,912,
470,518,240,060,728,643,539,445,782,957,996,819,144,597,634,251,255,475,133,
547,519,007,401,523,773,221,917,910,990,940,568,423,947,618,237,943,901,187,
096,910,578,382,029,501,921,622,542,641,012,149,592,162,539,914,248,768,490,
677,458,654,161,655,673,973,862,016,714,232,863,883,275,386,729,146,333,925,
838,664,363,205,710,672,138,796,619,178,017,468,535,231,345,352,123,523,605,
130,179,645,668,329,464,792,944,440,974,282,776,068,631,869,999,411,377,256,
111,889,531,724,685,960,391,542,156,305,357,758,621,434,626,028,438,648,711,
880,276,467,385,432,630,136,373,593,685,810,818,880,578,944,519,740,958,123,
016,461,975,595,899,370,656,152,625,586,879,669,452,237,503,915,081,022,483,
074,792,697,769,121,822,227,971,850,552,424,232,612,733,124,214,431,040,019,
467,342,725,789,931,804,340,886,140,485,201,321,702,812,990,229,678,073,834,
000,381,716,679,447,941,696,703,081,978,579,761,084,940,422,141,755,046,263,
366,757,374,829,280,918,650,824,133,428,195,312,153,196,044,450,135,675,045,
207,087,547,216,087,032,796,361,158,552,374,405,695,474,225,272,265,761,019,
698,046,987,551,025,787,939,425,154,468,347,630,771,885,979,184,054,939,244,
665,034,324,090,811,857,149,823,111,677,129,650,632,452,380,044,306,949,787,
217,790,310,730,292,220,151,618,673,630,014,859,859,924,127,255,604,314,244,
672,231,862,823,788,131,025,161,254,878,827,480,333,836,759,111,995,690,363,
091,400,397,391,673,219,515,016,406,326,727,176,686,890,606,338,687,977,120,
123,181,425,870,901,844,805,717,197,977,669,132,166,334,388,234,414,325,693,
943,105,678,286,081,273,074,508,693,086,637,374,763,355,284,188,660,467,034,
162,256,187,763,793,048,945,089,371,474,863,690,464,698,589,291,203,219,057,
512,522,931,782,188,176,081,910,813,398,880,146,269,278,782,153,776,764,568,
451,793,081,243,646,110,239,480,499,426,737,825,687,080,125,933,440,459,410,
060,703,657,526,308,712,668,700,161,999,182,595,353,296,510,872,222,695,098,
173,895,566,728,711,906,930,494,024,621,102,794,289,348,675,445,120,034,512,
124,275,278,412,739,355,060,460,908,517,963,142,279,209,807,754,729,968,517,
786,838,109,070,863,224,352,657,338,229,710,119,966,595,640,324,781,871,771,
985,685,904,487,671,008,126,721,507,849,103,707,811,858,280,213,595,438,928,
234,941,062,872,448,366,159,468,399,446,086,788,955,403,788,395,078,150,474,
016,739,776,316,919,582,487,707,002,488,713,396,011,334,031,976,228,765,234,
607,977,738,131,741,342,808,828,342,195,727,148,719,650,825,801,323,898,450,
959,300,002,147,249,691,932,556,867,232,572,397,714,550,052,928,595,612,849,
779,184,944,954,422,536,777,715,273,440,590,718,947,204,496,380,839,302,525,
376,714,020,638,942,608,112,553,558,223,919,521,319,014,312,413,960,210,001,
317,111,318,691,828,349,284,830,537,205,903,958,389,097,518,858,333,098,315,
928,259,113,828,942,137,727,672,831,720,052,289,197,812,435,516,532,215,125,
182,143,222,555,700,591,929,145,666,075,583,138,087,993,558,664,846,404,378,
140,975,437,325,137,465,583,376,229,308,379,897,355,540,790,764,018,821,965,
488,598,747,676,916,075,758,449,357,224,204,663,235,433,444,151,899,257,853,
978,710,612,850,610,113,026,561,804,386,585,340,971,380,330,529,226,935,457,
860,093,906,087,863,364,261,909,614,716,271,132,532,717,955,991,594,122,901,
237,095,012,230,286,765,113,305,716,981,360,711,299,689,690,430,372,630,399,
291,908,358,450,863,041,556,298,255,033,431,177,838,772,284,564,289,120,774,
488,096,887,559,167,053,974,068,436,576,538,772,784,368,107,420,511,945,734,
101,918,810,000,313,039,190,812,945,000,853,469,739,234,482,870,562,246,597,
859,324,574,285,117,120,107,791,742,321,872,992,846,742,216,551,354,435,146,
747,839,587,955,705,727,920,262,025,141,739,725,570,314,717,326,462,662,385,
170,832,755,848,310,763,561,546,762,885,995,850,513,343,602,932,931,009,651,
123,535,072,526,104,207,459,382,800,698,561,112,808,500,680,719,560,502,483,
101,231,599,015,681,009,687,830,593,008,561,113,711,360,280,473,986,348,036,
825,892,468,341,190,281,599,437,547,096,037,754,182,931,302,875,269,786,574,
139,392,069,039,480,599,723,126,794,814,493,711,432,135,800,990,705,324,822,
176,729,848,024,794,831,786,701,963,957,568,718,358,616,006,172,171,035,492,
250,174,737,819,839,076,953,667,234,680,089,750,926,752,490,942,354,355,360,
783,818,664,598,687,371,989,395,589,634,672,909,330,612,725,434,009,631,321,
336,205,004,411,194,743,734,082,254,899,171,828,477,504,947,858,493,608,962,
150,005,994,804,407,217,073,221,292,487,657,715,072,111,338,497,180,132,470,
759,324,441,636,317,370,994,888,951,792,430,072,272,463,499,386,441,759,531,
378,863,186,219,395,129,779,992,940,006,164,452,634,615,905,030,888,663,101,
322,809,314,436,573,969,833,876,591,920,000,868,581,221,113,086,151,801,357,
664,143,687,085,603,959,011,049,435,232,720,764,722,204,208,052,149,171,294,
611,663,257,274,996,344,056,270,927,829,231,728,864,633,001,127,096,612,013,
825,066,151,312,398,884,542,627,339,917,381,322,573,641,713,934,389,730,009,
318,626,630,895,226,321,021,786,627,717,287,662,672,391,124,356,163,616,081,
740,242,848,594,519,825,133,304,510,287,873,000,021,174,626,182,189,301,986,
967,879,361,694,627,927,189,931,782,595,407,428,433,955,618,000,716,183,998,
850,124,666,563,892,129,535,461,637,875,203,055,110,109,401,237,313,874,042,
873,694,356,355,923,827,351,251,967,666,311,725,559,788,786,976,513,606,902,
215,667,896,496,129,356,832,982,659,735,447,241,163,747,551,751,615,801,257,
552,278,469,542,644,042,533,245,685,794,884,392,400,659,019,081,500,562,402,
606,043,776,366,690,889,876,775,721,077,186,198,611,403,038,324,549,470,788,
517,094,834,620,068,027,934,307,254,675,720,015,593,694,504,766,358,858,577,
085,825,177,443,120,748,465,058,792,681,709,709,382,906,452,151,427,154,974,
138,254,487,212,821,236,352,734,773,781,716,182,652,617,700,981,218,680,790,
796,021,581,580,094,016,222,923,175,918,563,877,010,932,198,795,782,959,279,
583,842,239,620,304,520,329,241,184,959,799,637,525,742,598,474,409,349,304,
346,145,384,477,504,664,582,492,435,592,125,088,600,356,315,434,177,691,303,
335,064,299,959,865,199,408,776,206,639,581,142,565,195,917,487,937,353,632,
084,965,398,176,513,189,879,948,291,193,718,200,605,257,528,841,760,709,681,
149,998,185,797,117,732,893,705,582,997,297,544,597,129,458,417,357,905,606,
142,650,597,725,100,575,047,043,195,152,163,076,132,171,102,734,462,934,400,
153,949,018,167,693,077,262,391,415,794,512,608,573,693,961,192,404,800,812,
759,461,742,747,508,773,711,212,269,597,059,929,059,618,560,271,560,704,401,
889,702,318,013,714,537,113,174,474,034,945,576,013,572,605,082,896,518,203,
646,229,645,614,365,398,631,222,370,792,907,357,226,474,499,838,086,834,066,
452,343,502,523,253,712,608,843,003,891,936,825,499,998,334,138,810,646,773,
790,326,596,888,245,514,935,369,406,652,672,833,179,273,662,739,051,672,869,
444,472,839,940,913,972,348,313,543,189,002,908,945,119,421,564,267,657,935,
737,235,748,169,809,298,103,110,477,053,578,936,288,154,713,412,315,947,907,
444,496,734,306,439,572,261,626,764,641,831,415,047,212,735,250,410,348,491,
915,104,862,863,891,391,628,113,318,282,731,451,505,276,306,126,513,478,310,
132,479,482,996,285,936,668,474,718,153,592,077,255,962,117,770,181,261,346,
184,158,714,393,604,324,971,315,747,689,159,503,150,100,598,800,298,364,685,
164,976,104,408,414,325,424,362,661,252,663,024,569,672,890,959,163,384,931,
142,022,681,983,589,026,697,515,728,819,708,757,773,010,694,163,730,693,690,
758,322,033,155,302,249,025,972,081,038,848,480,319,992,885,447,227,566,362,
206,482,523,954,739,790,842,272,627,192,364,968,430,687,223,204,650,919,382,
174,024,508,090,618,095,386,527,805,275,342,895,190,454,718,303,908,155,793,
457,638,884,644,682,910,770,270,864,515,792,583,643,329,616,039,853,336,593,
478,653,515,545,140,437,585,183,650,965,146,682,344,288,049,849,030,196,533,
482,653,520,134,666,042,116,334,705,011,523,224,250,589,750,781,033,331,951,
687,699,356,280,753,510,851,579,715,414,885,761,021,610,159,215,879,618,086,
374,924,984,071,384,918,495,538,834,691,068,792,784,072,582,432,121,946,420,
479,892,475,155,530,648,067,442,128,700,337,751,463,977,195,101,607,223,446,
887,715,892,893,107,938,174,022,915,991,617,189,652,402,078,749,369,390,086,
704,116,716,469,388,373,651,062,234,062,462,376,037,848,100,783,171,711,279,
502,260,221,112,895,700,537,048,876,058,216,256,216,323,106,890,259,191,902,
316,562,095,030,929,130,441,848,392,844,224,074,910,391,315,404,229,562,294,
869,555,259,514,329,400,276,399,130,338,315,340,207,168,194,155,948,265,823,
593,502,319,007,112,594,733,332,336,388,069,511,377,395,308,565,590,693,706,
054,194,555,531,079,546,877,908,689,628,262,105,938,896,615,046,186,935,276,
800,290,496,974,775,692,488,273,247,968,482,239,058,557,857,847,428,019,162,
379,508,159,165,036,418,264,007,028,875,744,446,807,757,545,544,613,019,246,
553,873,279,197,303,700,002,052,094,141,077,571,743,935,117,594,807,511,924,
494,205,486,016,003,000,653,345,149,771,497,415,695,423,888,567,977,484,908,
736,639,994,939,659,598,026,665,212,994,548,292,989,210,989,627,084,544,082,
708,677,601,526,968,241,630,260,425,835,105,938,018,214,090,586,005,288,515,
563,995,637,750,236,817,961,329,954,042,706,842,156,828,809,059,685,689,906,
075,072,574,030,849,430,153,225,582,427,468,717,256,153,822,231,773,126,016,
945,184,328,228,586,150,709,385,134,258,064,884,729,052,558,186,611,746,539,
255,449,432,896,794,745,807,627,176,594,006,301,628,944,974,309,655,321,132,
041,719,073,177,569,593,446,932,307,661,985,917,898,221,833,389,250,254,245,
276,759,687,807,191,431,279,549,346,504,643,112,645,236,855,932,270,027,189,
433,127,193,262,943,946,078,873,441,141,117,277,825,806,230,375,711,973,891,
088,900,669,135,612,610,867,851,051,358,720,644,310,607,465,785,079,745,185,
149,587,177,890,866,016,808,436,865,356,009,303,140,373,094,032,568,936,394,
860,118,451,669,130,947,567,149,532,847,846,231,351,965,648,181,194,100,517,
403,556,391,717,460,866,942,621,356,143,589,055,807,904,847,974,638,464,667,
509,155,429,686,975,671,632,217,925,960,161,154,410,139,499,237,239,455,749,
402,490,515,574,297,833,751,600,600,394,537,213,007,315,804,706,190,007,335,
931,407,183,888,743,944,070,374,323,237,257,567,686,426,433,649,876,339,196,
616,594,436,779,267,542,951,603,597,350,269,165,532,584,291,423,614,949,957,
462,077,240,792,670,478,247,824,408,700,275,701,561,869,487,177,629,791,076,
059,558,224,495,616,178,737,234,400,154,311,012,036,745,860,379,474,555,620,
929,873,979,753,895,595,321,289,718,611,005,000,857,407,172,001,309,045,934,
348,032,796,835,646,884,506,062,480,611,339,639,983,977,365,282,991,803,761,
735,069,143,668,905,233,646,517,713,092,366,295,433,490,955,856,809,783,684,
054,727,865,073,311,298,160,194,863,145,107,469,438,030,859,825,569,302,150,
363,196,100,639,763,635,250,463,607,298,620,466,288,387,144,137,063,034,892,
219,002,085,232,181,787,705,481,577,357,173,742,384,497,144,983,844,111,749,
925,251,856,742,605,739,322,992,859,044,485,466,940,558,623,600,455,229,110,
970,394,161,308,115,728,450,443,781,313,565,657,495,558,612,714,678,757,507,
445,032,435,889,587,777,537,342,970,351,093,640,179,331,853,915,697,044,170,
993,059,401,003,091,958,181,026,547,281,764,912,667,901,453,013,773,264,690,
117,250,780,174,399,831,365,931,955,293,404,332,136,559,521,354,020,739,567,
699,441,024,350,365,626,133,108,722,168,012,812,132,825,897,760,339,218,921,
718,339,911,899,590,513,206,521,344,226,484,082,493,832,955,335,520,643,195,
569,761,646,217,528,370,037,380,190,885,946,998,447,129,730,115,053,827,898,
880,442,802,700,427,642,753,179,015,541,709,895,708,972,659,266,942,173,695,
912,188,633,191,380,591,676,026,254,442,665,101,113,687,970,863,167,025,262,
042,031,372,433,430,574,526,641,894,420,622,239,079,325,366,482,352,018,688,
645,597,939,363,993,662,205,997,165,850,766,339,297,248,587,834,340,421,333,
753,593,753,508,521,752,077,399,465,727,863,516,765,189,365,537,046,516,059,
267,332,204,907,984,875,401,012,571,047,310,749,476,532,280,691,713,165,854,
402,087,692,702,854,283,215,369,003,483,360,731,176,298,425,299,665,801,217,
949,868,594,411,756,867,427,635,802,474,061,855,236,893,889,197,138,550,933,
428,324,604,556,595,699,367,400,807,548,983,630,469,012,717,103,125,535,365,
487,403,749,589,158,316,634,022,700,491,371,613,308,524,441,866,494,274,991,
357,002,368,798,533,592,348,323,544,607,878,734,223,242,430,894,605,394,954,
147,769,266,578,016,824,743,792,170,728,983,914,378,109,912,844,201,694,280,
167,935,572,287,039,981,781,297,186,054,501,553,291,310,858,610,803,315,333,
765,950,109,826,578,226,968,691,104,268,005,328,019,807,821,592,733,530,476,
839,536,073,208,331,935,024,641,156,251,474,260,223,321,728,588,538,619,697,
494,261,642,022,246,290,506,984,840,355,588,427,277,693,554,923,743,191,565,
666,002,814,435,489,945,569,089,064,016,529,995,789,266,716,700,779,259,286,
602,945,552,925,222,145,795,749,015,799,642,757,943,909,354,770,209,532,604,
391,357,208,937,313,396,098,773,356,288,160,182,962,980,665,204,070,699,723,
180,707,434,274,321,058,844,164,840,761,580,001,823,994,582,312,289,414,384,
846,036,824,306,332,581,441,526,551,325,699,389,143,361,420,149,529,618,189,
124,669,437,854,806,022,461,274,571,712,317,380,860,289,610,418,314,622,915,
348,115,098,005,796,196,816,227,568,416,535,191,966,405,236,856,793,343,215,
577,692,336,875,233,460,405,416,254,535,948,968,571,114,065,150,700,974,585,
173,939,810,986,557,790,151,669,145,506,278,351,817,124,243,542,687,355,172,
471,152,351,192,451,691,968,621,735,755,713,438,203,637,305,286,172,775,014,
047,863,075,778,054,413,300,235,728,262,809,317,832,867,729,931,337,628,192,
412,311,702,109,916,221,912,256,713,082,417,327,745,461,191,851,858,549,112,
101,719,109,840,100,028,574,212,530,845,316,539,582,513,426,846,710,827,871,
257,952,183,096,625,829,609,014,679,094,317,757,545,413,019,730,727,906,020,
214,731,279,213,139,097,197,763,303,319,160,861,276,417,198,813,498,586,565,
281,804,768,263,198,803,306,805,216,606,183,591,596,913,075,308,276,379,281,
267,251,298,154,128,390,526,411,302,105,232,693,447,644,684,523,447,759,478,
664,967,425,355,206,981,409,567,715,840,988,117,013,765,169,778,304,369,535,
509,291,815,775,848,734,017,564,497,025,747,618,452,753,606,069,394,793,919,
869,893,405,094,434,532,101,326,216,675,787,312,482,202,695,903,425,419,027,
413,341,165,792,185,155,860,132,212,192,080,946,457,826,076,736,393,604,019,
882,906,762,725,711,091,712,621,554,522,902,957,392,814,149,749,879,909,339,
969,872,644,819,883,316,962,837,459,252,507,188,468,328,751,167,582,578,799,
507,195,961,677,237,117,447,171,254,415,623,838,779,706,308,960,685,337,978,
248,386,472,772,541,498,383,659,337,927,189,363,940,634,985,596,766,659,834,
796,811,164,796,411,539,691,962,622,404,304,096,032,044,713,655,931,390,797,
233,590,841,824,123,459,846,033,736,542,219,677,829,190,271,650,544,761,410,
845,330,379,045,635,613,219,516,501,278,431,501,897,498,065,475,578,805,795,
324,959,493,041,553,176,398,274,915,857,647,935,360,042,758,151,026,444,663,
966,761,757,630,746,418,194,903,064,719,049,798,650,353,199,377,714,658,272,
102,145,598,126,370,953,944,559,809,397,728,245,907,576,962,260,776,203,718,
679,835,518,691,150,175,063,652,146,794,022,337,130,890,438,911,739,366,638,
470,309,914,641,578,477,311,452,092,594,489,004,306,513,139,323,080,601,712,
345,801,520,761,792,119,199,077,674,010,211,546,849,363,113,202,705,113,506,
674,796,713,821,753,627,339,105,236,608,706,107,552,921,360,121,236,437,263,
584,431,261,882,722,693,526,090,740,305,226,930,315,881,325,169,025,166,205,
490,041,773,544,522,406,503,378,524,316,612,594,985,913,254,115,811,001,454,
603,506,168,824,312,755,566,066,241,893,157,880,914,005,864,308,858,188,229,
077,590,981,703,181,515,577,055,183,726,821,410,733,366,663,810,933,877,228,
720,590,871,859,277,224,602,765,263,487,570,672,813,238,805,845,454,081,090,
666,605,375,958,857,274,976,738,066,681,034,748,827,945,929,374,426,561,341,
364,730,733,133,009,320,321,655,655,729,107,559,467,782,667,909,274,235,972,
592,749,486,778,714,422,173,991,384,501,607,564,174,278,105,622,543,195,296,
862,296,777,973,212,295,946,706,547,996,873,670,312,529,257,444,037,335,762,
310,767,956,656,911,144,195,576,167,310,599,623,058,576,636,841,168,298,799,
769,181,425,071,924,054,623,120,257,453,140,229,873,729,508,871,424,514,260,
709,100,323,345,159,971,483,221,568,239,258,214,132,148,060,794,078,630,696,
006,773,820,458,919,875,539,859,438,342,747,493,540,704,364,514,594,258,392,
310,069,605,429,834,980,214,458,503,802,522,590,959,237,332,392,704,172,015,
314,404,876,337,845,039,852,958,505,415,527,001,539,146,792,810,556,359,846,
990,074,239,212,552,504,279,619,990,987,108,239,502,970,905,676,142,937,501,
573,642,078,385,785,838,439,564,427,923,508,414,290,153,679,844,856,623,839,
338,333,461,722,586,846,209,102,691,430,410,183,894,331,475,504,913,069,805,
483,208,363,839,368,204,620,560,364,057,701,580,181,027,020,110,096,613,662,
319,227,471,526,131,872,247,768,189,806,302,347,146,587,612,222,139,395,003,
114,838,686,263,856,936,441,377,076,981,299,409,829,243,967,816,103,128,406,
241,393,387,329,197,232,783,645,530,838,315,225,893,477,673,670,819,078,036,
086,639,023,111,839,987,684,978,275,368,770,271,843,911,197,982,560,695,089,
268,302,843,096,726,738,700,740,723,693,215,086,271,396,637,234,460,666,684,
710,826,417,920,276,196,283,778,246,058,241,328,878,793,040,946,164,071,431,
671,703,348,793,715,019,909,343,506,652,580,891,861,938,647,141,396,000,219,
520,070,463,121,102,922,533,844,659,385,563,423,578,098,496,402,400,435,235,
941,255,953,112,093,298,791,667,283,878,465,481,765,386,926,736,767,013,637,
250,246,863,810,232,228,942,438,850,775,519,950,912,441,390,784,620,851,911,
709,425,828,702,300,747,685,362,466,278,803,292,302,219,704,609,676,795,780,
883,747,823,843,371,574,725,736,322,838,553,348,320,118,709,345,054,857,717,
956,048,033,405,877,113,531,016,943,092,945,239,593,554,148,862,953,220,053,
505,934,770,653,364,653,877,393,453,210,979,674,019,251,865,835,163,564,233,
087,364,003,136,434,215,778,406,014,440,446,096,922,069,701,344,659,752,879,
300,471,104,202,087,730,732,802,325,702,407,021,979,086,495,235,540,513,530,
920,968,241,362,238,817,120,400,195,937,379,143,279,003,947,733,473,726,221,
585,897,850,839,431,273,121,613,240,199,241,056,241,210,402,932,986,871,093,
147,154,047,183,857,452,103,277,598,835,892,392,767,660,063,419,370,057,076,
084,995,346,912,126,147,422,887,111,520,506,637,506,064,305,127,979,227,680,
161,594,859,647,286,033,679,902,639,620,770,472,469,982,820,390,933,077,817,
638,269,240,640,378,701,276,849,268,285,324,705,354,326,132,226,224,180,696,
695,612,040,862,013,941,364,410,389,361,773,856,111,861,659,681,123,678,787,
774,965,372,871,241,510,845,680,402,128,844,584,990,441,183,292,109,498,118,
277,367,032,875,065,826,250,171,231,609,439,001,848,246,796,446,981,657,597,
080,140,368,565,979,355,456,918,197,278,306,707,018,472,366,789,646,273,489,
395,363,016,146,443,464,486,470,682,506,522,474,859,094,584,862,037,304,813,
785,352,464,507,893,199,245,766,850,936,853,786,275,968,471,467,718,073,077,
940,512,921,788,277,261,073,462,751,614,160,791,178,997,350,671,000,392,359,
850,541,497,302,541,050,267,211,814,095,118,098,069,360,429,907,486,952,523,
144,263,643,869,990,907,944,961,252,079,249,030,889,750,115,366,355,713,160,
033,937,921,727,711,475,527,057,824,061,071,738,696,639,353,033,162,944,219,
585,957,880,763,953,172,799,263,146,476,434,422,378,856,027,401,706,285,730,
291,683,484,706,394,886,000,490,758,155,768,811,822,907,206,241,539,630,437,
403,751,685,163,014,739,992,867,140,192,260,498,355,980,503,212,636,131,436,
008,919,061,666,071,651,983,106,994,037,796,092,385,008,128,823,238,856,003,
820,452,262,925,740,330,091,914,788,567,108,503,757,615,105,791,798,312,529,
581,717,593,195,865,632,953,297,590,198,639,753,924,406,744,912,071,520,518,
203,663,198,034,402,638,022,269,104,780,160,705,416,499,427,449,793,071,419,
010,379,817,304,745,187,291,886,913,139,505,952,206,652,620,951,246,685,047,
564,677,393,179,697,754,033,861,762,156,592,753,765,636,394,371,780,079,528,
731,944,777,374,462,261,623,783,242,500,348,803,931,170,402,289,130,058,313,
267,525,364,572,254,511,642,351,126,922,743,964,037,469,646,689,717,659,137,
629,672,166,568,693,081,640,384,974,225,412,121,107,395,686,052,625,936,609,
583,298,489,048,353,773,643,814,419,489,246,237,232,955,798,564,909,567,355,
992,333,936,185,904,619,349,443,450,661,031,851,964,301,299,527,393,223,451,
257,095,626,053,011,188,115,062,832,030,608,475,284,820,997,583,203,079,555,
428,532,081,468,077,118,103,345,235,574,559,623,033,838,251,417,365,730,248,
059,580,527,125,981,923,577,184,923,694,429,256,809,064,689,318,214,145,889,
184,800,513,976,427,373,669,744,762,970,744,677,521,373,867,418,576,554,334,
607,304,685,533,423,314,662,485,368,237,209,454,327,785,356,708,456,284,271,
545,936,791,375,770,392,265,059,996,431,643,045,788,464,547,878,428,745,041,
966,881,267,707,240,141,377,663,445,011,497,573,527,663,199,323,820,278,939,
965,075,353,188,129,130,215,315,753,194,690,289,940,494,819,415,172,566,913,
616,014,785,389,263,556,529,554,800,844,790,215,257,009,092,378,615,580,442,
087,154,010,700,558,195,332,024,427,654,536,887,142,882,620,129,231,448,492,
956,261,779,521,708,960,349,642,335,856,554,078,688,478,691,451,268,888,793,
148,992,870,570,681,393,412,304,572,432,363,589,657,495,297,551,241,938,219,
754,646,406,029,872,781,315,887,463,244,050,223,801,749,128,155,395,188,031,
535,281,392,434,164,988,317,524,839,270,456,125,895,135,228,812,748,057,072,
071,048,234,633,633,545,814,795,561,189,998,224,245,631,232,108,314,489,259,
391,005,565,659,123,543,783,251,184,720,643,085,191,885,414,603,236,600,243,
429,882,580,189,116,769,835,963,345,020,514,860,240,714,313,099,885,847,888,
928,266,962,743,240,550,089,167,043,877,262,986,350,270,685,183,073,051,174,
764,044,688,692,209,101,920,720,147,861,545,373,155,992,580,927,666,263,506,
049,680,970,089,061,684,631,674,723,023,040,399,604,632,463,644,870,156,092,
319,676,571,032,925,790,283,962,774,254,357,180,957,864,301,918,575,674,258,
497,736,103,554,614,674,533,469,480,984,948,929,344,533,608,925,202,813,480,
717,399,849,128,301,600,798,842,444,381,504,846,264,233,621,764,030,656,096,
562,838,993,600,733,257,763,868,641,639,563,529,333,942,885,585,366,663,825,
079,971,990,085,832,770,385,010,765,119,638,045,381,706,025,622,232,178,253,
240,372,161,019,526,480,153,964,963,679,931,937,635,705,941,879,933,468,669,
494,350,340,397,911,300,338,711,684,405,608,215,158,511,284,373,190,023,948,
649,476,090,515,664,052,675,474,911,873,497,764,837,394,493,528,227,772,829,
845,771,584,281,748,683,055,216,750,069,285,562,943,998,461,752,069,176,533,
968,728,079,804,140,759,207,559,103,346,611,664,023,147,540,260,393,231,501,
163,283,202,146,945,304,602,276,252,665,010,002,919,847,311,170,233,470,714,
422,409,310,979,609,594,307,369,842,079,240,421,694,325,562,539,064,134,774,
169,775,557,770,269,011,477,501,423,683,109,790,808,800,356,608,523,317,460,
045,040,830,513,518,362,512,594,720,181,216,586,507,789,555,218,818,496,473,
236,455,566,844,175,817,317,647,844,811,577,360,332,786,583,789,544,850,948,
330,596,688,308,286,639,358,694,346,516,630,755,530,687,676,147,014,394,867,
003,770,888,647,770,812,057,433,544,467,616,265,339,436,172,672,712,743,210,
401,462,257,314,791,088,434,889,474,538,770,515,150,238,699,523,248,969,451,
629,624,694,990,544,276,733,967,256,190,680,085,463,619,310,188,619,866,123,
880,121,554,673,658,614,775,572,528,605,518,651,498,447,018,685,582,292,624,
060,186,336,269,478,683,526,301,886,530,823,802,942,164,693,508,466,299,387,
809,504,828,619,649,040,720,696,033,215,701,254,088,990,008,918,318,635,503,
844,928,360,108,127,271,791,057,343,685,450,695,266,294,609,986,265,666,168,
817,799,414,819,729,240,411,104,877,057,429,559,105,284,881,258,751,465,275,
261,179,103,924,214,612,166,615,649,291,713,036,535,078,377,461,431,825,369,
642,487,119,615,086,604,355,004,903,268,867,976,985,852,038,348,191,860,588,
794,055,093,068,008,554,571,222,559,079,532,888,432,182,711,751,262,064,737,
296,774,218,464,472,749,091,692,716,532,475,038,170,837,661,011,823,092,861,
627,021,475,648,340,191,521,508,959,259,601,773,199,219,179,843,385,460,058,
990,444,166,225,301,843,911,236,206,873,177,560,567,629,604,754,925,490,122,
697,611,420,556,801,143,157,742,753,117,407,840,171,278,502,261,353,284,466,
940,731,757,805,281,645,033,043,510,162,348,662,951,711,174,527,002,347,395,
075,092,324,811,282,415,477,335,519,630,628,765,447,095,545,143,645,193,765,
425,333,532,413,569,761,315,079,884,560,227,985,252,990,250,582,859,970,038,
293,002,765,401,283,483,620,913,087,099,749,126,355,093,211,611,161,298,121,
001,093,214,644,878,845,599,348,119,713,675,521,248,870,824,948,717,983,892,
080,450,388,148,881,788,632,361,463,908,067,143,710,463,971,420,089,923,124,
989,277,840,392,382,513,511,717,886,657,361,964,849,574,653,622,897,354,788,
236,134,283,530,794,248,398,564,194,646,279,316,874,471,956,039,548,578,788,
650,497,800,711,285,401,549,179,641,170,815,485,043,610,643,289,745,602,792,
392,321,748,214,447,504,092,221,567,210,293,128,341,930,130,403,755,218,009,
426,391,505,740,244,994,487,805,367,726,716,617,609,764,709,560,801,463,208,
996,030,751,173,137,404,000,280,875,698,054,202,576,203,084,069,195,989,563,
866,697,737,885,504,482,766,036,949,331,260,856,145,772,022,127,406,291,608,
546,996,597,678,245,256,869,850,416,177,812,408,001,519,428,223,662,294,973,
866,760,576,587,180,526,266,617,674,574,621,989,354,702,204,588,880,112,837,
807,204,775,335,697,983,220,321,868,970,969,126,700,044,891,224,169,587,523,
978,580,217,282,319,228,119,821,088,828,090,816,470,592,309,476,600,159,452,
248,621,721,621,102,508,426,744,947,255,502,722,686,218,764,060,393,203,943,
685,286,023,921,781,285,066,394,371,928,781,026,825,601,787,966,791,568,222,
801,600,108,400,815,195,051,878,432,985,419,971,188,113,617,712,993,027,051,
597,318,124,781,276,206,429,092,587,274,745,267,528,165,040,034,511,399,316,
332,819,787,523,134,685,915,889,237,626,141,254,143,221,280,373,846,667,092,
619,629,152,739,437,468,075,061,615,240,356,970,099,892,896,679,349,700,453,
195,452,670,045,528,836,997,431,176,493,414,931,880,536,382,226,645,505,814,
954,587,433,647,092,598,145,516,511,709,164,038,366,618,051,146,634,985,867,
751,544,073,411,387,201,821,315,013,816,221,416,174,755,680,454,062,490,564,
376,079,122,930,717,904,166,620,524,745,416,224,033,478,858,546,444,152,336,
307,770,714,100,225,769,129,667,528,279,920,135,376,782,118,642,411,788,197,
259,796,432,149,369,083,997,252,985,055,751,077,077,777,937,661,558,069,628,
481,816,847,418,023,380,776,894,936,114,546,424,197,866,548,968,428,444,691,
886,116,038,470,261,915,734,806,964,355,211,575,177,205,865,913,872,071,084,
477,407,829,555,465,457,324,159,110,212,263,113,128,953,990,231,169,285,147,
932,726,825,623,325,467,683,683,727,377,799,229,504,385,234,600,651,765,322,
109,362,386,987,963,183,407,784,311,899,763,978,561,347,444,725,381,616,362,
300,347,342,166,157,781,011,169,343,525,934,210,384,662,978,417,186,557,492,
937,708,585,619,398,473,103,004,332,603,840,288,553,473,639,075,756,038,103,
399,232,850,824,229,991,497,436,466,031,670,228,773,426,454,993,462,213,877,
244,779,900,974,975,644,143,545,397,637,498,623,177,595,952,085,038,119,352,
728,734,194,350,172,992,516,350,348,973,058,106,786,548,275,134,139,728,158,
923,007,925,210,172,695,645,648,216,683,272,640,267,428,381,430,436,016,422,
622,857,315,114,140,214,701,050,654,950,009,986,589,714,899,479,864,395,959,
865,417,943,415,991,768,426,912,302,847,266,086,027,374,014,444,092,043,651,
823,044,404,361,486,711,546,411,831,727,245,496,875,900,887,168,825,306,785,
990,685,326,804,927,942,663,987,528,082,767,823,073,967,975,708,433,046,100,
071,398,191,425,074,232,602,366,098,817,002,304,079,784,767,891,321,393,065,
268,739,690,633,034,628,593,228,170,791,445,743,483,038,026,591,097,232,693,
710,362,138,499,128,136,600,671,047,226,736,378,176,041,726,296,750,200,011,
541,411,230,778,627,641,780,591,888,520,510,745,028,695,166,513,716,840,648,
316,352,788,220,567,709,768,406,488,263,565,365,326,105,683,156,321,366,045,
673,962,369,053,232,646,365,027,971,585,943,602,157,356,654,294,439,571,511,
320,110,944,231,260,244,443,548,851,055,673,271,228,051,708,666,971,806,853,
236,333,636,523,283,282,367,178,575,798,742,529,292,220,367,064,654,715,440,
254,709,914,855,782,324,047,023,643,233,150,640,034,792,137,639,014,961,255,
004,113,713,481,416,768,875,418,034,544,403,626,608,460,710,645,926,262,516,
151,962,216,979,759,078,006,320,478,581,878,746,142,620,798,782,914,788,011,
477,828,580,820,661,094,704,361,243,323,807,593,464,556,555,948,745,945,740,
094,128,874,922,578,686,096,160,180,962,307,867,356,852,197,915,002,314,068,
839,506,083,423,546,476,211,447,397,843,364,092,501,885,701,977,666,856,717,
900,982,341,514,206,244,973,598,693,800,042,640,397,952,118,745,194,542,457,
683,764,708,330,599,087,285,902,998,865,676,607,680,932,238,840,932,076,233,
067,486,894,553,825,181,142,190,367,243,536,553,563,640,443,243,013,337,129,
037,741,996,831,581,202,995,610,211,371,898,691,873,692,117,125,653,729,949,
110,764,430,039,784,653,015,945,701,010,710,365,242,075,804,926,876,988,412,
704,613,812,409,616,654,806,905,480,516,215,071,338,078,843,866,085,433,315,
421,895,891,145,851,354,741,760,425,007,462,060,723,860,543,656,145,279,899,
630,944,897,612,357,746,687,784,055,742,634,177,496,278,451,846,694,772,738,
506,171,997,710,180,644,120,557,311,603,396,920,110,723,443,455,495,016,672,
911,694,086,577,590,619,060,849,997,696,416,910,600,740,435,725,114,856,834,
368,625,571,685,982,650,077,642,712,932,596,592,615,109,536,166,650,029,347,
318,617,240,556,955,357,413,989,241,072,797,700,568,637,542,889,981,869,951,
130,690,731,164,506,467,583,252,088,504,362,324,466,708,640,618,065,628,318,
342,161,246,187,920,464,216,848,943,665,712,905,267,973,078,691,988,374,284,
834,478,265,680,266,429,464,981,319,578,268,938,853,865,066,393,725,861,090,
414,529,597,632,566,544,156,469,558,989,481,578,877,986,023,141,991,850,745,
645,041,143,372,003,062,594,176,961,078,181,408,872,044,897,614,248,135,011,
931,460,049,142,648,906,453,417,712,533,614,799,066,928,133,253,636,563,391,
262,154,317,010,547,078,220,193,498,157,814,854,461,769,856,739,407,377,817,
208,313,041,523,377,297,442,131,700,564,567,371,123,267,413,052,085,239,622,
881,253,716,048,890,856,602,777,217,534,007,809,120,173,486,670,449,968,055,
446,409,875,882,193,960,267,096,542,390,647,152,373,108,210,996,596,938,576,
958,177,650,321,161,780,442,650,407,658,126,594,904,225,190,624,953,894,498,
451,641,042,238,420,043,522,139,830,951,642,837,093,934,703,318,506,782,346,
103,663,738,023,972,489,775,874,527,424,314,322,353,620,359,881,912,857,827,
621,710,872,507,468,887,157,897,319,130,053,767,926,187,484,737,845,632,265,
231,137,267,927,823,402,751,744,374,644,452,110,658,951,920,304,746,722,650,
883,039,842,351,891,151,135,406,656,200,350,007,671,105,702,179,125,895,484,
602,390,079,317,085,164,369,241,123,422,178,860,830,927,742,117,199,491,556,
125,738,333,330,450,316,713,470,670,821,610,054,995,347,575,232,684,386,611,
217,417,852,603,593,402,036,945,775,282,965,995,031,520,553,256,921,978,533,
713,933,649,304,925,879,031,978,741,524,111,202,137,548,137,976,654,077,501,
457,198,813,660,182,674,564,829,931,113,062,148,365,569,400,954,188,884,506,
665,188,680,732,828,386,023,361,450,696,967,476,596,055,523,760,476,209,732,
118,441,200,555,781,917,530,868,662,272,645,722,693,186,036,902,843,831,826,
075,334,583,960,343,594,071,456,502,131,139,731,968,182,084,960,973,151,886,
017,604,071,112,817,643,063,646,767,545,460,336,812,864,359,656,228,128,473,
913,422,332,910,565,218,512,305,357,073,678,357,583,254,601,660,100,061,513,
157,611,409,539,069,731,778,181,686,095,118,979,219,465,335,849,936,366,035,
690,028,469,305,239,500,836,049,961,145,108,398,554,593,395,398,965,883,839,
665,453,223,543,734,031,846,368,404,594,191,268,984,309,351,474,122,296,612,
150,854,089,719,785,811,888,779,670,757,894,349,928,438,554,298,000,895,063,
590,077,550,234,882,924,330,548,198,773,977,564,256,163,398,603,356,028,087,
699,360,521,240,005,777,551,674,847,406,214,459,126,005,245,553,467,859,917,
824,151,847,491,434,418,504,054,179,193,139,364,471,123,564,516,585,743,173,
505,859,371,877,036,542,989,364,097,199,086,169,699,269,594,323,539,716,234,
299,239,817,428,515,151,440,138,640,057,354,696,264,055,124,765,977,094,863,
024,922,652,627,525,752,387,189,061,561,389,021,121,791,927,079,216,054,615,
787,169,427,036,780,661,338,262,472,365,916,313,222,450,765,257,684,735,205,
243,165,979,634,070,485,504,418,609,641,933,564,550,500,826,137,883,521,693,
875,787,789,545,237,169,830,149,557,166,443,603,895,147,889,078,689,155,053,
409,021,983,992,989,443,309,427,519,522,792,630,582,162,155,709,168,552,295,
962,030,169,227,146,095,047,415,161,230,227,433,128,909,805,881,153,923,007,
266,193,062,933,532,949,879,875,189,899,700,272,863,866,916,671,814,659,442,
394,475,152,270,262,823,117,829,795,418,831,597,336,838,283,225,236,381,938,
651,766,149,314,018,279,444,116,628,458,638,335,694,481,942,207,458,887,593,
328,639,439,296,946,390,650,335,368,921,542,797,710,103,635,019,826,725,235,
135,145,531,965,399,867,834,623,609,603,149,404,752,406,927,671,284,342,456,
797,263,254,214,335,080,838,785,592,102,239,460,991,382,177,003,261,351,459,
184,251,826,404,773,096,131,899,970,650,283,879,720,066,755,297,102,959,123,
790,652,945,714,106,663,353,448,903,887,941,955,207,039,034,082,291,864,230,
263,726,776,973,812,826,894,793,690,497,505,617,796,780,660,634,720,569,834,
290,729,154,892,962,435,821,612,153,447,281,402,618,695,731,264,980,696,110,
846,218,269,530,973,025,444,445,481,887,015,629,184,175,723,324,842,358,164,
829,436,426,622,377,801,123,028,687,808,889,872,126,193,437,209,530,544,625,
856,223,929,125,592,539,416,444,284,259,805,344,057,806,089,988,690,796,932,
830,427,281,586,506,543,639,881,082,007,592,961,040,353,984,232,400,912,705,
010,240,532,705,856,059,313,422,723,308,397,384,608,977,882,172,684,943,790,
727,716,301,420,327,451,370,545,949,126,253,888,842,097,190,819,569,767,574,
800,721,232,033,442,700,691,504,568,567,471,150,871,869,263,247,545,200,783,
889,035,230,646,438,899,275,943,732,987,023,649,822,416,018,150,957,602,144,
407,856,444,208,654,362,063,865,952,826,091,128,034,380,385,275,302,742,386,
233,515,258,847,671,325,138,808,650,240,940,717,666,323,605,817,224,870,655,
792,479,859,367,504,391,278,344,728,992,270,517,179,010,572,464,200,000,026,
291,440,621,298,603,720,552,288,400,194,538,827,938,406,694,508,295,575,936,
067,384,386,561,909,795,463,321,108,699,350,311,371,054,185,785,712,685,026,
579,431,500,835,067,928,727,378,947,742,984,942,121,436,556,903,468,819,958,
273,885,015,455,106,844,872,096,973,231,089,771,601,485,761,977,243,920,861,
692,636,745,602,803,589,289,993,345,345,169,189,762,801,084,471,846,095,416,
913,500,601,816,844,868,643,119,397,066,507,774,259,108,077,562,953,907,710,
675,037,850,353,477,552,545,120,843,567,270,050,113,512,522,266,654,093,389,
522,294,374,655,425,724,129,078,961,052,881,136,464,715,462,706,718,623,678,
423,766,391,479,611,409,713,910,817,091,002,882,414,453,567,713,941,906,443,
515,821,567,639,743,277,964,857,181,436,992,883,722,870,089,044,552,878,968,
546,128,953,945,279,907,441,093,220,203,886,102,776,143,228,979,718,506,427,
348,437,844,414,697,974,096,758,517,009,768,948,154,989,994,327,125,919,441,
062,097,535,975,434,600,218,015,583,222,715,465,655,330,450,165,533,222,997,
470,372,552,766,054,161,477,393,058,234,096,130,296,068,822,552,624,790,444,
170,286,726,792,369,651,303,110,417,718,349,251,223,134,377,637,789,405,161,
375,560,178,280,623,720,292,838,482,627,038,733,073,143,390,128,293,479,117,
249,958,253,515,872,063,873,619,029,981,403,785,968,813,252,225,467,096,126,
935,040,230,117,551,706,950,183,652,096,009,929,684,135,841,912,673,840,317,
953,114,575,531,089,757,671,204,906,292,532,102,287,388,029,090,965,668,890,
884,366,975,819,173,986,984,139,919,224,593,565,107,189,948,089,445,965,151,
255,534,684,163,641,986,002,512,679,017,396,250,628,121,965,590,390,791,052,
187,558,914,167,171,601,602,145,503,878,845,925,392,113,316,449,868,542,859,
621,360,398,934,584,899,923,504,175,448,569,666,671,219,275,334,318,306,856,
231,202,780,299,044,971,133,314,406,226,103,482,508,853,366,276,285,192,292,
291,232,316,186,385,405,800,117,730,885,238,143,832,387,701,852,641,991,093,
087,400,286,148,598,886,160,920,919,019,108,321,299,267,481,304,363,389,166,
641,202,536,824,334,258,785,567,558,002,552,739,279,515,362,970,483,399,171,
656,269,472,339,152,302,916,789,181,986,734,446,621,143,909,321,191,679,733,
717,051,271,955,579,007,203,595,000,151,091,397,518,154,432,248,038,443,239,
224,902,334,996,458,026,585,032,302,853,512,343,067,155,113,061,073,817,390,
433,805,478,787,411,827,185,921,281,667,618,953,706,705,854,794,276,479,972,
048,323,533,430,228,924,903,753,009,451,340,028,776,367,080,262,343,432,283,
319,865,067,357,436,865,103,247,924,565,656,087,207,179,333,083,580,895,462,
905,107,039,681,248,651,902,661,517,389,383,353,288,893,212,888,860,104,106,
417,385,190,285,221,446,631,436,344,090,145,238,862,871,988,813,604,556,095,
536,582,071,991,367,070,703,669,368,369,077,869,088,636,109,591,782,391,027,
257,818,501,734,467,903,368,028,518,978,469,654,807,401,799,774,246,590,756,
299,470,262,797,473,862,482,444,263,238,495,148,482,495,407,201,018,480,266,
074,992,098,370,971,728,728,457,179,176,976,502,899,807,168,450,658,952,906,
217,744,387,020,434,349,523,639,095,078,848,997,918,242,383,188,903,891,242,
623,768,219,987,670,494,650,073,551,678,395,533,742,690,225,364,976,957,445,
988,601,523,665,358,526,184,343,805,221,567,100,373,322,077,268,263,174,246,
184,121,322,036,710,514,916,969,705,754,600,239,096,892,016,540,158,245,827,
350,859,588,168,078,365,242,158,359,325,772,121,954,222,278,492,088,812,061,
783,541,102,950,304,984,513,452,954,865,373,976,752,327,629,032,785,561,074,
902,975,595,342,327,211,825,586,719,402,102,771,549,545,097,714,648,942,703,
734,842,340,538,111,011,845,219,891,655,632,038,685,723,302,288,532,593,752,
952,953,754,399,193,153,057,950,323,439,681,493,697,193,541,001,938,394,724,
324,564,442,991,176,072,561,089,109,050,295,741,974,411,788,161,843,996,324,
324,447,302,799,230,431,385,634,286,127,702,875,758,710,220,869,548,455,315,
995,894,155,997,235,398,986,354,532,227,040,344,006,967,872,578,758,048,810,
762,117,912,411,461,684,440,195,136,083,959,461,573,795,579,750,169,824,064,
435,953,679,917,551,027,896,367,976,075,695,788,020,531,296,118,715,685,605,
360,680,888,012,031,161,798,144,775,032,705,371,487,035,978,909,950,783,868,
083,231,762,573,135,996,326,072,900,891,606,419,810,108,405,439,979,558,634,
265,705,978,190,963,408,045,534,191,684,243,098,399,271,871,669,406,302,228,
923,601,233,971,912,959,983,697,038,985,347,074,017,793,200,061,561,410,038,
133,102,913,856,134,642,736,449,952,584,103,246,282,843,977,545,102,719,309,
927,757,277,752,616,547,718,052,821,885,320,875,665,894,821,428,291,022,482,
527,686,922,000,947,727,902,826,389,321,937,959,268,733,356,896,414,303,457,
331,493,956,772,231,120,320,926,713,853,902,274,669,057,044,984,881,440,189,
280,391,275,196,876,978,710,796,801,645,380,657,684,593,285,566,492,983,040,
174,080,474,160,667,737,948,357,185,428,947,432,331,490,139,303,518,229,874,
365,131,547,778,649,573,420,034,309,558,623,300,392,201,894,310,156,698,706,
105,125,186,840,580,638,895,932,054,562,224,241,676,451,569,646,592,460,131,
430,064,392,748,835,400,712,099,299,102,636,815,888,703,280,474,846,152,026,
219,434,917,640,987,118,129,040,243,824,617,320,637,326,727,410,629,898,419,
210,110,643,284,011,399,886,164,225,506,406,418,751,151,828,582,432,579,490,
976,204,179,315,581,199,119,756,341,641,128,798,554,987,917,357,503,929,342,
820,422,244,289,686,070,231,058,927,603,345,367,782,945,177,774,275,488,162,
609,443,813,342,506,135,917,770,157,568,011,832,640,028,681,570,154,877,873,
368,047,414,390,879,079,305,305,702,760,078,561,810,123,076,027,596,759,058,
592,316,689,295,202,614,828,260,495,208,504,121,728,672,553,784,241,668,882,
137,648,257,355,330,734,536,719,718,135,257,938,713,983,531,151,870,234,847,
549,328,842,318,344,037,139,535,764,496,409,982,916,434,430,085,533,261,042,
450,320,414,951,033,212,743,578,560,268,627,283,490,506,263,733,916,398,139,
394,778,093,972,348,631,240,808,293,692,938,723,755,955,946,900,813,117,827,
818,616,570,988,740,163,190,723,271,656,717,561,608,916,961,424,382,461,122,
834,913,852,052,221,108,947,087,685,430,981,522,083,349,983,981,158,200,440,
128,979,093,418,678,637,423,044,254,608,911,675,341,060,516,277,656,029,960,
784,532,997,961,555,379,035,891,228,095,189,987,102,478,733,266,356,389,013,
064,044,421,995,424,724,739,703,695,485,115,288,966,404,165,089,997,037,813,
374,305,038,367,885,136,255,612,924,687,558,383,558,842,121,454,402,691,092,
860,248,893,826,717,710,002,923,095,285,481,656,382,231,796,235,603,902,671,
681,519,899,232,463,705,180,977,860,079,279,201,700,859,885,107,731,087,143,
640,895,215,794,619,722,220,697,063,019,325,291,927,391,372,601,895,874,440,
281,093,343,088,029,884,346,768,688,069,463,025,923,526,991,841,703,310,380,
394,547,093,666,334,949,978,850,255,207,389,108,248,115,293,793,396,492,161,
642,976,936,195,131,561,887,641,326,976,656,888,322,284,172,165,146,982,625,
518,430,920,974,847,828,874,474,896,798,835,594,006,012,291,623,146,875,131,
423,044,843,273,954,675,269,608,325,366,002,382,236,918,753,329,488,925,258,
516,814,792,994,182,024,779,061,339,392,199,316,687,647,343,975,686,144,963,
868,541,182,508,855,523,686,240,991,452,298,225,621,976,822,777,068,017,848,
371,058,690,582,977,794,577,548,990,316,614,914,643,271,487,505,141,650,051,
106,930,294,323,824,039,803,485,897,762,227,097,066,048,413,314,869,956,498,
822,916,039,647,764,280,231,483,412,776,632,996,787,589,922,863,206,878,245,
359,515,920,113,658,143,659,371,201,429,835,072,917,953,189,929,474,665,040,
782,465,926,176,431,926,053,804,159,042,257,713,730,468,002,313,041,222,906,
459,158,282,382,725,690,454,425,615,875,001,336,030,849,665,200,736,176,475,
369,984,853,730,350,729,767,855,940,034,162,619,425,279,235,098,755,743,296,
988,620,902,338,468,711,588,116,832,002,597,819,151,144,253,263,147,013,937,
236,737,999,557,818,139,758,724,855,707,892,042,273,162,798,980,725,154,474,
096,638,782,622,819,932,425,470,666,891,935,120,159,428,239,867,359,470,392,
814,028,201,505,119,726,692,785,314,709,635,061,428,962,557,267,124,052,222,
729,674,420,386,717,999,770,555,620,706,549,796,347,976,631,327,560,009,595,
577,769,013,601,621,653,356,405,193,165,546,431,618,806,380,045,839,306,179,
438,383,830,458,117,512,222,018,812,183,623,594,439,878,882,631,046,525,767,
222,030,031,050,215,447,055,556,739,022,575,510,967,450,884,167,745,505,572,
983,379,830,626,224,846,662,851,350,736,150,191,326,937,183,559,413,851,090,
485,059,492,027,424,077,895,663,567,914,906,692,880,651,953,349,095,038,999,
303,946,458,384,223,310,183,069,737,552,719,587,955,439,362,069,995,097,675,
613,040,754,775,172,113,531,433,233,509,125,583,631,366,709,570,298,603,378,
764,229,962,249,180,772,243,858,756,121,361,012,947,830,895,951,347,291,893,
010,875,563,565,974,067,934,126,511,092,151,357,185,142,994,697,462,267,606,
229,949,257,637,311,709,938,213,384,990,061,649,331,246,043,810,191,106,651,
523,168,106,630,240,663,248,947,712,669,439,588,572,212,725,634,359,739,846,
703,941,405,324,013,215,708,053,452,468,195,041,734,286,010,046,071,086,405,
047,678,368,360,347,566,885,530,333,307,863,232,989,524,732,798,398,334,849,
911,173,463,514,380,753,192,580,081,783,658,763,769,553,615,249,154,198,208,
800,470,908,669,999,627,173,727,383,167,706,812,034,543,593,828,449,423,648,
841,898,670,178,954,405,098,126,781,498,052,454,885,483,261,267,870,916,981,
887,009,037,541,499,215,554,972,238,459,654,019,168,167,373,348,198,000,419,
463,377,361,497,009,298,337,779,285,646,892,888,577,123,606,856,463,125,568,
374,401,404,119,006,646,320,549,354,899,299,722,537,884,020,953,561,998,435,
398,840,777,292,168,494,670,765,978,950,125,262,327,902,731,248,489,073,356,
689,746,337,777,904,729,131,386,313,040,124,058,501,949,296,535,729,047,635,
404,380,529,541,481,638,625,903,516,891,263,133,416,775,138,137,414,397,636,
496,618,679,009,350,029,538,628,553,680,942,615,479,434,668,563,605,044,232,
295,661,117,179,691,439,446,799,188,344,819,165,896,164,188,104,032,147,980,
677,343,037,091,252,948,622,929,106,882,790,132,392,034,225,609,124,097,383,
315,484,350,030,716,846,737,220,058,294,013,829,911,010,776,888,962,470,059,
024,469,441,513,817,234,333,752,843,402,672,660,087,474,988,802,270,518,275,
912,844,239,980,829,420,406,238,253,077,037,549,756,924,788,603,326,320,601,
466,374,057,503,725,725,639,214,655,974,950,136,886,603,165,611,347,047,206,
586,557,307,572,027,584,103,112,784,665,937,851,438,325,655,185,925,239,813,
457,492,583,230,140,736,297,764,121,841,250,192,543,697,110,342,643,328,521,
876,063,215,878,217,908,595,616,736,680,027,798,289,769,137,951,542,153,902,
033,262,624,929,587,017,976,826,398,617,245,704,636,492,490,339,883,557,117,
082,950,658,489,016,865,579,074,357,813,633,779,224,814,619,449,188,181,710,
911,463,881,829,256,390,202,377,889,324,271,137,937,583,554,376,549,561,630,
894,207,949,304,914,663,598,432,437,064,844,203,494,036,037,053,986,725,764,
888,995,572,593,874,812,798,594,085,284,480,379,474,460,476,368,192,351,240,
880,746,770,042,505,383,181,695,893,510,319,846,138,848,161,540,434,477,446,
706,425,876,996,955,660,992,393,127,279,183,569,751,882,870,957,597,515,189,
539,181,371,675,068,664,700,819,193,140,669,760,013,827,176,426,732,394,178,
577,902,553,502,200,231,411,967,737,021,438,034,367,275,114,578,586,477,939,
268,385,068,531,257,046,568,857,085,867,615,382,027,534,211,356,719,014,264,
539,852,979,162,690,200,236,382,939,366,816,031,065,597,643,015,109,592,918,
058,928,302,829,871,439,482,245,110,641,023,746,990,239,040,401,473,228,240,
448,766,261,962,536,981,670,832,698,745,811,127,593,276,747,676,865,740,332,
803,410,334,277,890,474,028,477,072,027,135,523,255,989,991,150,888,877,425,
476,540,210,118,940,436,378,230,344,075,114,718,588,148,562,161,225,708,271,
164,572,422,934,231,967,364,070,442,669,553,091,791,978,956,725,790,254,282,
911,293,866,270,092,004,521,675,390,966,253,135,136,988,539,186,310,734,893,
524,976,680,627,910,120,041,882,404,107,816,703,569,544,472,558,941,496,239,
223,380,776,160,508,256,707,764,157,334,223,741,140,422,098,960,611,343,024,
198,085,681,623,624,270,083,443,387,272,103,246,137,300,006,474,823,647,676,
479,080,393,595,007,269,245,671,157,566,099,895,238,154,798,166,684,521,174,
361,270,735,221,180,022,801,784,216,178,090,041,886,797,077,399,751,216,943,
715,286,635,768,774,821,553,228,382,883,163,203,669,523,940,123,436,658,454,
785,385,349,279,111,079,507,210,002,304,674,909,166,293,709,511,530,040,556,
001,203,198,385,979,790,480,181,448,095,535,908,897,065,328,019,315,796,102,
462,204,033,256,161,591,646,747,431,492,431,736,789,831,536,910,021,086,503,
762,583,366,346,160,119,478,940,922,608,865,414,486,863,384,033,152,975,044,
709,341,989,970,353,770,895,009,808,410,543,915,414,061,021,604,936,727,723,
205,348,931,470,603,850,640,041,703,416,015,005,937,353,091,677,575,634,335,
039,809,286,295,444,199,072,738,046,709,221,490,539,556,195,849,155,326,510,
095,178,847,503,687,090,171,306,608,745,792,406,964,107,101,766,594,527,291,
547,818,455,707,211,049,262,328,415,687,103,767,948,123,355,136,874,998,892,
086,358,858,498,741,868,765,064,115,679,946,367,041,956,985,604,681,075,208,
933,061,833,830,324,722,575,167,189,015,399,780,441,401,791,052,788,546,545,
608,414,074,371,993,323,852,561,435,115,091,523,954,500,305,443,039,260,938,
175,353,724,796,574,637,696,968,823,657,929,936,828,441,593,125,625,800,924,
028,902,080,490,105,751,927,911,662,403,242,299,843,975,612,293,699,521,557,
614,676,908,638,521,408,930,673,160,898,163,226,748,310,089,994,892,741,132,
010,579,584,290,022,688,682,966,177,580,364,453,174,937,290,971,476,183,886,
516,828,791,908,568,698,272,153,592,503,564,336,933,761,808,184,440,530,178,
981,047,026,484,126,134,180,276,165,689,288,307,426,954,042,534,869,726,528,
090,993,845,209,850,184,546,592,289,152,051,004,144,625,034,342,001,851,525,
049,744,490,286,456,480,415,268,731,376,165,123,136,585,466,398,194,008,147,
924,295,955,968,306,341,667,741,044,424,718,957,522,582,198,126,953,383,126,
695,391,026,521,318,579,050,746,714,115,993,925,622,240,356,942,406,563,509,
590,702,367,541,498,716,463,880,710,055,079,046,097,423,244,881,384,540,763,
852,245,369,877,643,721,061,340,463,418,794,022,504,811,816,685,802,908,684,
810,783,594,442,857,586,787,703,467,970,680,078,870,191,893,420,743,635,099,
101,483,388,573,972,297,462,041,992,253,891,334,629,946,232,511,745,127,425,
687,271,347,052,602,426,251,568,148,088,378,222,113,401,459,887,367,600,522,
910,368,826,986,356,106,883,370,442,139,903,189,098,158,364,161,407,510,276,
525,635,345,318,950,169,323,575,940,933,390,978,795,227,608,115,334,099,716,
711,339,955,251,459,495,717,893,786,050,683,835,445,151,084,414,422,707,250,
921,630,208,943,752,674,147,645,253,200,064,306,429,582,576,681,694,550,794,
346,844,035,556,496,475,811,008,643,735,463,927,734,449,739,038,125,019,177,
732,612,991,235,104,186,320,514,150,169,355,038,639,321,850,096,686,922,343,
031,438,441,716,706,964,178,474,342,256,482,013,111,517,070,430,997,303,076,
248,257,163,169,958,881,730,459,464,655,831,836,629,661,432,262,857,395,026,
074,000,089,708,358,893,763,948,951,539,848,368,867,597,578,526,025,713,783,
340,032,360,108,050,709,326,841,979,282,745,868,323,780,366,428,496,284,851,
847,719,398,202,337,202,085,275,440,609,894,681,308,620,290,207,898,400,488,
589,499,650,179,899,514,158,867,039,148,220,108,935,287,280,051,052,090,443,
910,204,084,896,808,035,114,214,109,016,675,730,394,276,672,470,657,985,317,
411,205,203,254,174,869,162,490,063,130,154,191,946,092,980,244,506,013,052,
618,315,526,047,917,084,340,161,350,489,704,966,193,825,827,205,188,652,117,
608,752,237,429,982,344,264,829,826,798,761,958,195,902,243,507,268,058,873,
647,440,856,443,177,118,961,081,140,711,578,720,477,588,593,985,782,826,187,
330,680,896,474,870,346,826,543,514,959,435,597,029,037,612,325,228,433,998,
940,348,606,222,423,752,605,170,604,593,230,114,483,246,199,191,948,504,002,
103,372,177,593,753,642,710,789,691,310,904,100,578,278,994,209,814,833,863,
565,003,666,966,969,634,955,202,540,844,524,845,220,686,387,690,290,975,409,
881,065,790,748,316,451,278,209,823,535,703,850,007,900,120,566,381,710,931,
017,252,042,036,131,266,706,812,202,610,065,277,250,702,281,044,700,022,181,
183,596,050,322,475,512,743,296,614,655,810,707,208,476,797,467,040,712,585,
289,393,928,595,371,774,488,020,542,110,242,068,209,838,941,356,103,036,457,
577,582,685,011,325,849,545,825,261,022,188,106,726,442,072,980,704,147,702,
246,151,334,699,391,799,073,486,112,426,284,295,270,441,233,332,759,102,378,
786,111,686,919,899,126,620,600,189,019,478,735,743,095,449,886,531,364,577,
462,083,967,843,914,034,675,805,754,006,017,198,211,614,564,055,558,385,780,
017,357,704,899,904,889,892,382,693,902,759,522,061,075,256,136,499,081,508,
903,545,261,834,355,228,651,449,817,133,163,204,635,044,791,569,050,461,867,
918,435,957,069,733,033,817,812,707,967,940,496,898,143,692,413,778,705,993,
586,674,588,026,671,170,202,760,599,992,647,104,761,493,145,285,158,675,758,
606,883,747,584,962,839,929,325,499,381,276,345,257,584,643,927,080,214,559,
880,749,685,500,869,076,625,020,593,523,735,270,855,986,054,342,467,352,472,
302,476,843,620,079,861,568,028,887,518,441,425,077,673,734,592,648,160,137,
723,274,777,104,687,497,841,406,534,781,937,824,989,126,523,954,308,461,318,
387,666,921,340,553,335,831,103,599,627,542,168,922,821,523,878,902,331,358,
461,693,150,921,830,971,003,509,251,399,526,081,057,933,574,590,083,997,266,
031,402,080,223,723,563,658,257,532,036,607,593,009,912,238,393,099,864,864,
803,821,817,576,335,215,724,434,412,142,907,879,424,739,340,665,667,486,201,
096,114,707,384,578,741,609,611,298,593,283,109,919,932,230,863,048,808,719,
401,904,763,183,001,156,276,520,257,549,962,220,241,657,180,477,933,839,465,
275,044,840,459,420,656,890,634,341,460,693,617,836,959,934,365,815,374,259,
589,099,148,238,383,222,916,033,368,554,817,886,427,785,440,577,698,772,558,
954,389,908,430,242,255,434,650,384,321,035,929,879,352,691,761,235,364,107,
680,888,919,443,023,577,939,050,865,916,675,610,974,096,511,194,505,047,687,
305,894,109,261,858,085,328,606,896,374,859,141,263,824,309,812,376,607,622,
325,741,490,967,911,900,363,096,290,958,166,008,770,922,823,018,249,899,031,
978,862,266,591,411,039,564,152,627,761,505,238,059,621,160,152,447,772,391,
071,212,154,643,684,433,288,449,556,422,905,999,300,169,275,718,346,029,036,
872,922,929,155,546,681,125,979,708,804,013,385,194,505,369,832,987,948,043,
942,790,460,249,356,060,311,558,067,263,169,356,497,612,234,214,190,837,845,
619,554,189,572,854,231,327,808,302,701,578,853,505,482,780,979,436,260,402,
082,981,035,721,643,351,028,027,531,799,138,494,406,586,579,606,885,532,987,
276,452,708,847,754,728,480,884,585,241,349,508,944,228,243,690,537,242,242,
251,446,807,587,100,135,025,886,759,625,462,126,255,057,898,254,083,888,966,
652,347,919,545,378,916,017,994,579,581,617,675,961,760,584,344,728,824,671,
253,296,162,236,380,400,666,149,599,972,566,236,841,553,638,831,363,928,352,
054,776,965,908,930,393,665,873,001,183,520,779,267,020,108,701,878,463,466,
654,493,723,799,835,633,372,295,387,112,606,609,238,708,197,541,353,254,438,
616,099,419,085,244,647,997,482,214,533,681,717,850,770,018,919,285,619,947,
877,229,194,303,703,283,997,809,202,967,683,871,565,211,379,078,035,891,504,
640,928,078,720,306,893,753,128,382,039,074,762,235,986,382,018,232,171,945,
640,289,170,611,573,084,027,677,534,314,917,508,872,778,958,705,121,101,923,
780,204,330,998,223,155,927,409,890,495,743,095,345,143,865,232,386,862,831,
846,816,458,672,589,582,504,511,451,675,265,730,184,649,815,013,489,428,516,
811,156,723,936,079,920,942,534,903,887,979,832,249,416,814,362,654,418,961,
688,964,344,576,621,710,360,451,577,497,206,680,795,901,486,372,880,010,802,
202,540,288,517,994,545,892,011,087,961,394,990,379,566,645,703,878,923,033,
386,884,563,879,191,290,349,525,399,800,536,018,384,645,415,376,149,448,894,
324,151,194,060,684,288,111,816,675,000,880,686,719,767,638,924,138,040,506,
070,589,657,313,481,728,298,812,763,143,510,829,376,388,190,912,665,765,264,
514,798,969,101,353,033,866,001,878,126,684,098,847,629,967,149,586,857,112,
504,707,857,044,800,021,794,468,767,006,336,013,755,952,901,173,395,125,457,
901,976,183,169,831,503,587,573,065,329,725,350,431,980,578,601,833,722,696,
848,652,519,754,101,114,777,683,117,882,582,433,739,083,078,565,084,530,173,
904,498,106,323,764,292,106,596,292,314,444,572,278,640,871,768,210,141,305,
496,618,108,528,976,657,506,845,061,141,352,990,568,948,133,786,650,470,695,
626,334,527,695,839,218,196,975,944,900,778,357,319,631,451,999,401,961,221,
868,432,716,517,778,820,699,816,053,888,105,238,907,534,717,495,333,501,460,
632,272,228,273,753,099,527,772,497,271,087,342,532,261,575,818,442,169,821,
253,525,092,032,704,829,501,041,100,534,804,465,235,942,908,523,169,062,322,
434,213,937,216,422,930,702,281,508,176,298,837,889,878,963,207,316,664,076,
665,344,650,101,287,072,274,321,956,570,584,166,315,507,821,943,966,715,975,
869,701,144,269,193,952,277,544,073,450,989,281,824,262,702,755,567,780,815,
937,639,095,684,914,924,727,982,599,891,578,017,670,937,633,175,131,201,608,
323,118,100,514,019,098,539,713,614,617,873,417,563,573,339,680,915,611,468,
116,451,064,427,961,324,918,591,485,981,979,961,644,448,430,088,018,105,511,
834,713,494,262,454,178,568,001,826,534,663,373,662,614,231,667,654,365,886,
508,498,798,927,335,426,436,848,736,003,841,270,897,616,447,173,950,551,070,
201,503,806,566,496,818,906,718,639,135,310,251,767,560,769,647,660,271,756,
203,868,835,300,780,110,316,580,938,523,423,690,942,261,279,504,319,625,399,
326,724,937,512,741,255,722,536,400,937,456,471,668,474,758,204,362,120,965,
912,951,477,701,615,186,011,941,347,540,123,094,374,030,564,166,932,039,020,
172,052,512,170,530,660,247,771,975,943,311,949,425,599,973,619,681,770,860,
585,576,489,874,138,698,802,311,081,358,572,116,098,524,306,082,027,583,162,
322,128,036,187,958,144,639,958,984,213,501,058,838,121,754,064,719,984,734,
583,741,895,372,423,140,823,034,205,490,473,637,030,371,799,966,420,381,151,
083,085,748,204,554,038,923,606,228,486,616,679,780,568,922,024,437,375,883,
124,315,893,442,234,879,307,346,996,929,778,734,670,217,120,967,706,494,044,
026,066,493,733,038,762,261,479,754,750,877,677,275,413,982,800,656,666,249,
968,708,258,146,198,797,999,950,828,371,196,887,514,630,181,265,489,788,125,
500,936,931,663,179,690,928,659,169,102,259,248,690,720,684,303,289,564,902,
559,547,482,706,249,008,327,292,039,267,845,562,518,105,983,326,531,129,572,
756,345,400,807,357,783,505,946,976,076,072,355,341,674,542,835,206,344,900,
029,068,119,609,830,693,839,958,552,419,351,594,812,382,783,295,397,205,485,
352,084,594,549,460,677,565,195,991,414,078,812,972,098,327,026,767,003,010,
076,211,487,801,918,656,706,407,169,664,851,149,950,288,776,545,321,297,899,
382,364,357,001,908,538,388,863,983,263,173,767,181,091,437,086,074,845,182,
436,143,041,208,034,065,619,144,541,003,666,612,309,204,152,954,071,149,982,
204,475,377,997,347,925,718,740,738,617,655,352,728,864,773,501,566,828,952,
149,400,334,629,576,357,664,110,640,689,117,987,486,721,129,810,256,247,569,
800,918,253,112,168,498,026,821,652,644,296,412,404,651,474,414,426,774,713,
537,128,150,130,313,149,236,118,984,354,693,829,247,980,390,807,225,224,377,
008,155,716,742,984,172,347,267,141,777,661,102,524,510,374,076,531,255,422,
623,829,633,592,135,108,402,516,266,848,604,210,581,205,473,838,067,761,224,
122,969,021,242,138,106,974,130,032,797,980,308,214,671,937,935,649,881,000,
695,190,698,948,126,011,309,272,103,054,963,412,842,967,928,858,928,325,853,
975,455,135,275,110,552,569,579,240,892,171,630,878,433,529,110,057,470,788,
243,946,328,005,333,203,902,586,788,780,415,402,418,903,863,022,963,512,123,
448,485,013,428,029,927,574,081,659,599,890,801,399,677,638,689,465,838,594,
571,572,645,863,343,087,248,398,680,713,706,219,459,528,441,959,903,672,259,
587,785,559,742,879,463,295,654,418,000,116,543,592,295,223,424,545,646,616,
995,377,734,960,481,122,864,089,891,975,359,494,248,775,990,908,276,250,864,
268,926,476,403,387,612,063,671,070,478,956,998,405,322,553,840,293,426,501,
889,447,368,450,545,084,472,658,616,387,915,176,315,241,254,060,696,126,093,
319,001,090,049,504,442,586,175,363,334,824,147,399,286,348,007,781,330,305,
498,031,129,186,393,704,868,767,076,130,646,553,850,552,528,937,596,521,172,
621,757,784,055,538,630,382,493,919,539,635,226,857,554,620,842,781,483,231,
158,848,558,169,929,107,264,551,649,979,359,445,170,675,433,894,607,599,342,
618,817,387,843,293,614,774,528,943,842,208,688,718,437,089,304,794,028,714,
173,904,830,426,466,601,278,051,167,646,210,304,901,166,109,761,405,762,023,
430,576,484,461,428,574,952,906,584,276,597,558,083,376,823,658,160,242,534,
837,749,895,513,321,307,129,573,061,986,550,096,371,092,412,017,907,968,260,
500,141,025,937,897,113,519,844,607,185,076,031,195,618,779,401,345,866,229,
892,738,537,893,688,369,338,302,832,183,124,559,416,679,422,835,386,104,058,
184,069,225,076,692,059,417,029,466,686,916,238,483,045,811,377,266,091,037,
666,471,582,576,219,055,804,903,096,586,793,793,892,991,921,321,943,787,372,
531,589,602,925,199,591,000,548,879,322,911,526,253,768,775,976,876,661,444,
635,341,550,384,170,350,998,899,646,194,875,277,949,375,765,163,135,650,014,
764,165,789,149,371,122,088,696,189,005,097,788,969,625,965,697,897,083,391,
228,433,053,778,134,793,703,011,623,743,369,276,924,499,947,409,992,363,079,
585,353,638,715,063,682,164,969,969,691,001,289,272,967,761,838,165,689,626,
232,442,525,869,746,806,731,579,237,754,184,645,873,248,231,164,533,570,201,
762,190,322,214,204,435,394,926,922,037,038,197,640,044,664,511,047,632,696,
472,549,979,769,618,422,905,571,756,423,274,216,415,116,903,077,247,494,790,
108,881,648,823,264,727,664,056,210,584,789,616,696,386,001,361,690,939,170,
127,273,600,503,422,999,511,057,877,570,770,241,792,510,560,086,870,397,197,
045,722,985,862,745,162,992,612,020,218,960,882,793,541,681,154,335,830,512,
782,671,346,743,990,162,750,718,283,150,690,786,999,873,740,309,310,759,824,
776,184,597,501,579,418,506,821,082,923,399,072,837,435,339,691,722,734,010,
379,847,783,637,256,182,337,301,059,291,776,103,258,372,881,587,240,508,026,
954,120,597,279,292,832,027,269,090,593,350,576,114,770,584,471,000,307,952,
630,216,715,497,472,161,483,814,058,115,338,719,039,460,321,967,545,089,160,
347,694,113,516,422,642,772,188,526,190,818,372,751,028,006,936,451,137,356,
616,889,767,725,725,375,524,052,341,220,857,896,841,021,900,959,872,578,009,
235,504,226,798,120,535,781,064,632,590,532,466,280,225,798,666,445,259,033,
891,231,308,906,869,897,651,066,765,618,918,317,147,778,293,194,050,382,769,
005,069,455,300,959,820,906,419,924,200,135,027,731,736,578,919,779,169,852,
250,359,111,048,977,989,755,084,847,257,698,694,221,054,752,223,330,729,087,
409,935,959,055,012,826,875,161,506,328,370,598,117,553,341,152,248,602,626,
912,308,517,759,337,045,550,166,982,658,204,549,257,360,377,781,602,868,797,
446,962,748,794,342,061,831,172,487,190,346,935,203,075,874,338,460,372,177,
885,097,671,723,616,258,130,535,403,642,578,963,737,781,214,789,857,412,453,
161,170,843,421,250,442,151,317,298,906,516,308,069,655,138,013,394,971,768,
517,691,112,855,518,080,524,344,027,336,709,758,264,257,162,716,096,070,002,
025,918,850,829,683,372,257,907,836,487,753,736,374,033,283,714,967,340,786,
905,753,232,111,319,992,645,036,879,777,401,364,733,548,321,707,614,191,244,
358,018,162,478,189,221,235,487,749,010,719,113,075,634,003,215,515,546,122,
418,831,897,089,070,919,243,265,530,729,835,756,494,436,380,166,844,508,182,
577,141,519,100,630,793,005,556,837,949,909,883,103,936,945,568,577,903,151,
514,934,164,571,378,640,144,309,622,435,104,948,058,464,329,114,085,306,909,
977,606,957,600,351,694,563,040,189,093,592,331,242,560,602,143,754,727,574,
365,068,039,200,563,810,587,762,484,498,062,905,905,375,604,615,527,867,566,
051,756,955,740,848,888,218,897,398,923,057,035,890,880,826,348,882,398,155,
360,191,011,623,237,961,908,625,373,430,044,108,593,699,368,245,129,748,308,
013,198,208,963,668,156,489,627,353,159,102,484,491,927,062,040,276,817,928,
944,671,822,378,147,486,349,315,506,476,177,272,446,725,766,045,402,619,781,
897,750,170,012,408,105,967,678,590,559,821,103,294,043,017,547,703,971,309,
880,495,185,707,341,121,926,566,258,432,755,928,932,483,337,442,172,096,092,
354,785,435,423,189,526,300,959,451,696,844,779,962,807,821,737,992,133,112,
811,585,517,114,749,460,527,552,728,178,749,539,609,431,094,553,979,667,396,
304,631,939,700,318,038,026,334,230,242,393,474,272,481,136,537,908,103,142,
247,088,930,522,788,644,457,015,488,300,761,904,857,428,703,203,667,718,901,
177,375,279,937,922,082,423,285,288,982,779,756,570,397,785,248,973,700,776,
542,991,657,114,476,480,856,583,587,053,960,316,521,577,746,513,754,563,746,
945,397,224,161,892,705,510,172,451,256,412,552,063,990,963,561,401,465,153,
416,656,357,450,986,912,327,418,495,255,061,992,821,174,698,631,289,550,173,
461,426,654,163,373,966,945,621,039,864,181,445,173,384,264,287,865,897,372,
826,243,701,659,900,761,717,899,694,756,690,880,826,754,770,668,070,468,754,
408,141,036,165,228,955,446,789,029,664,988,606,086,457,105,610,459,781,968,
611,774,935,216,788,923,313,682,839,737,616,069,222,670,199,239,955,374,396,
917,511,343,299,472,419,476,254,691,052,248,703,774,207,946,935,113,406,951,
073,044,594,802,443,108,711,292,381,264,191,267,643,539,157,552,664,726,888,
652,671,836,256,495,772,709,240,379,672,218,468,385,000,593,855,587,561,284,
991,206,165,260,724,969,582,203,170,540,557,149,683,455,893,733,607,055,616,
546,858,095,269,912,487,025,084,712,429,060,005,235,805,130,727,050,869,406,
186,872,347,011,534,008,645,290,963,022,731,228,842,088,285,681,356,163,395,
402,285,071,103,505,819,109,955,815,055,282,939,079,403,541,945,669,862,261,
363,925,958,592,425,807,103,892,831,053,821,017,409,590,475,778,491,283,412,
898,510,575,182,981,984,920,053,204,314,826,080,235,248,715,948,279,077,680,
277,378,206,677,271,587,333,054,195,234,023,609,634,872,628,554,982,877,624,
652,338,569,569,862,024,857,941,353,387,767,076,461,962,680,930,769,703,043,
016,239,674,150,951,179,552,072,582,696,889,876,183,918,714,975,392,781,545,
920,157,012,261,454,711,149,417,039,556,797,708,620,272,171,272,461,198,322,
672,831,252,042,089,664,270,745,468,747,629,352,922,449,255,942,590,084,972,
186,463,545,006,827,223,589,515,397,248,260,344,868,023,303,684,632,011,109,
128,652,201,719,125,689,106,694,180,830,247,764,402,873,729,418,843,732,152,
634,655,472,711,998,424,561,452,853,583,457,962,862,014,356,586,330,097,510,
416,967,902,642,122,015,436,536,418,373,398,003,254,048,777,768,751,131,251,
540,962,317,459,885,545,202,048,502,898,205,882,075,179,906,254,843,995,209,
675,527,902,331,654,655,702,642,025,634,211,779,463,256,194,630,430,101,828,
332,913,348,256,102,557,959,039,130,863,114,250,966,495,424,998,380,575,851,
121,387,808,861,593,592,166,735,807,374,968,354,177,900,040,721,462,312,808,
016,482,565,952,542,782,002,717,390,518,503,027,700,999,515,182,342,405,060,
241,185,357,669,063,588,398,046,902,972,812,570,877,435,151,667,303,981,525,
410,567,481,133,590,832,583,310,264,275,634,636,033,927,607,942,014,166,309,
078,217,555,451,734,258,986,526,016,807,161,543,430,528,326,849,448,406,307,
722,233,265,994,419,049,078,749,535,284,461,034,961,253,933,599,922,903,287,
320,642,099,398,297,584,089,157,463,802,205,130,082,887,375,112,201,909,781,
173,632,260,100,329,661,681,272,215,660,488,067,947,576,394,062,623,468,710,
918,213,140,761,040,345,053,353,692,622,496,866,646,961,865,260,920,219,309,
406,036,973,485,085,135,799,987,499,770,577,289,918,889,219,338,574,515,441,
884,100,686,405,864,107,983,085,045,059,650,309,671,655,040,112,319,878,081,
291,094,348,450,927,695,650,467,080,976,963,962,180,079,770,651,298,585,438,
992,130,105,503,932,722,671,709,883,956,273,452,703,080,835,842,248,610,572,
360,026,920,372,841,257,144,543,300,148,008,895,878,017,096,000,983,875,550,
946,537,468,306,130,117,202,378,589,728,292,601,353,442,044,487,034,172,017,
397,648,101,904,148,346,012,824,631,127,949,796,061,047,762,922,065,708,236,
689,480,775,232,191,482,241,281,298,572,041,542,700,710,090,036,538,269,935,
734,656,259,400,789,811,474,956,243,421,923,808,387,148,846,990,665,014,180,
066,380,947,191,959,964,964,933,749,578,286,857,339,403,543,733,506,064,933,
730,985,676,993,564,570,780,272,769,292,312,438,954,991,350,922,768,851,284,
128,044,711,178,029,910,012,565,728,811,264,827,206,592,775,906,705,835,021,
218,135,999,487,633,736,675,825,745,761,512,937,164,304,472,286,371,425,149,
777,497,253,465,889,035,746,016,374,660,761,257,374,383,675,046,468,101,061,
830,868,950,878,014,111,525,762,143,003,678,332,826,393,150,672,930,455,621,
626,471,211,176,317,200,664,846,369,437,566,917,922,731,176,035,695,562,326,
232,517,371,101,105,057,723,216,615,010,363,887,802,706,807,778,700,890,829,
367,186,745,297,273,259,136,533,816,461,245,389,049,961,912,023,899,121,495,
902,285,370,946,888,355,951,040,069,556,340,108,269,415,817,979,674,891,505,
911,683,541,938,275,344,818,171,287,482,156,623,770,519,148,531,999,634,943,
912,100,755,982,677,111,758,486,332,083,866,211,222,142,147,098,886,894,863,
970,942,178,027,435,038,108,846,785,220,105,201,517,283,530,779,528,253,937,
860,282,380,781,513,698,431,658,381,689,171,942,657,042,625,789,629,919,395,
947,612,170,258,331,377,297,840,443,303,332,493,192,268,509,377,888,864,636,
952,244,413,300,695,254,673,254,566,500,957,122,462,248,508,671,636,517,048,
992,848,116,063,693,629,417,793,409,386,816,079,838,622,632,307,160,264,541,
965,282,176,090,103,616,246,076,607,197,655,210,555,505,169,631,119,340,754,
454,624,406,000,659,182,585,344,154,788,670,651,923,912,946,721,497,090,966,
965,201,148,848,464,837,332,452,321,355,448,072,643,340,005,276,645,823,038,
747,514,629,108,199,670,917,757,374,531,343,248,238,030,476,252,744,662,614,
102,108,861,561,106,558,332,597,363,437,882,183,174,333,548,047,808,297,926,
466,751,213,976,765,739,120,953,762,278,752,093,395,740,510,041,129,968,971,
054,728,911,238,784,620,018,609,265,546,906,179,504,664,153,780,808,829,030,
187,717,047,982,842,512,391,111,084,773,729,488,612,127,981,473,376,230,840,
599,566,958,985,164,047,609,397,322,809,868,475,661,426,360,683,816,128,688,
227,599,599,260,382,860,746,940,710,127,797,753,968,048,030,145,988,602,789,
539,942,545,172,369,645,867,399,942,351,503,917,396,801,064,712,396,028,305,
137,182,533,953,749,115,310,410,674,186,409,222,219,612,358,432,814,034,274,
272,196,340,894,099,297,460,999,002,308,070,955,946,014,250,058,076,796,111,
004,676,274,813,295,571,210,715,504,700,118,080,571,138,342,116,587,494,719,
315,249,307,499,497,517,470,496,729,076,037,991,502,628,014,287,029,790,739,
444,312,531,433,289,968,220,643,344,751,629,430,639,057,810,054,719,207,412,
526,619,260,151,625,273,663,813,018,822,007,553,217,251,276,083,851,303,438,
202,249,624,323,027,844,117,522,339,864,227,173,607,678,481,543,527,910,478,
746,493,001,325,326,152,296,061,538,715,751,864,072,706,896,067,066,175,747,
611,897,029,267,007,611,093,256,480,083,461,505,716,856,404,322,673,814,531,
692,478,376,292,035,736,657,714,763,827,706,656,458,053,724,190,006,437,131,
748,807,388,732,087,927,315,109,319,306,683,303,978,486,628,573,300,330,416,
798,513,761,495,770,321,888,373,052,323,948,786,861,850,483,709,115,839,397,
128,363,249,259,608,340,334,772,760,523,998,890,138,576,015,429,888,285,570,
292,956,998,810,666,373,665,510,293,584,130,621,546,142,153,686,969,591,826,
078,801,840,746,540,413,442,063,877,506,860,231,736,120,141,747,584,758,559,
929,891,382,967,289,656,504,276,556,346,491,195,111,253,021,984,768,005,425,
489,130,314,473,742,434,390,200,450,293,392,302,994,860,729,066,473,584,392,
607,503,493,272,687,804,476,673,516,401,577,000,111,511,643,864,380,146,749,
595,074,471,144,810,309,960,903,022,983,125,135,250,977,710,131,924,023,089,
087,080,320,404,039,143,001,462,693,199,354,240,970,538,732,502,599,823,778,
408,081,977,240,911,903,452,930,785,727,903,955,569,520,987,742,937,569,036,
034,207,173,389,081,587,559,228,609,821,750,016,869,140,439,503,825,784,602,
687,902,044,743,403,271,793,111,139,118,058,435,559,677,190,495,289,906,392,
782,962,091,264,334,671,313,057,747,928,180,094,688,341,900,521,788,588,910,
340,327,716,548,752,152,313,500,450,285,385,737,901,155,212,215,871,094,001,
929,215,272,534,631,592,695,062,784,138,684,872,849,112,277,436,208,034,052,
521,651,454,290,630,595,689,886,612,418,783,274,010,704,283,521,643,342,375,
026,904,130,064,276,416,432,277,097,100,261,645,300,911,524,357,800,948,639,
557,844,257,948,183,128,494,111,096,315,271,636,649,976,953,429,430,793,040,
068,604,121,311,197,045,505,769,672,486,711,308,030,292,407,528,626,080,992,
391,118,364,456,403,068,378,764,859,458,053,996,931,277,355,432,080,285,559,
608,620,778,202,871,731,689,251,412,991,778,113,690,620,287,206,912,063,470,
223,205,004,632,473,499,429,587,831,869,135,971,235,173,842,259,125,977,558,
222,733,433,241,519,692,332,738,236,688,212,485,144,917,564,916,934,206,478,
332,244,599,731,062,399,450,850,993,679,080,327,618,125,322,837,132,107,193,
093,768,583,679,430,918,689,223,821,091,719,065,817,733,624,117,284,496,547,
677,451,196,962,569,717,054,369,915,615,507,316,939,439,403,123,436,955,930,
404,667,121,244,483,195,959,108,593,063,695,550,591,929,787,318,168,475,860,
597,877,519,319,699,974,450,510,297,222,777,594,817,873,784,852,867,161,062,
461,727,599,950,127,316,737,503,326,770,127,779,686,806,194,941,060,446,975,
161,921,808,380,861,831,064,627,542,070,252,680,329,101,685,677,342,295,073,
857,073,664,235,275,322,098,341,108,405,049,823,360,873,641,176,911,312,915,
430,289,877,961,844,362,808,449,473,886,679,258,985,686,322,504,626,819,134,
860,781,458,266,159,618,939,075,843,868,410,685,985,539,151,364,349,059,955,
028,855,272,865,665,106,121,317,908,654,517,071,118,662,666,399,738,426,265,
598,429,892,314,839,464,904,725,810,563,202,181,852,403,793,396,741,804,145,
498,839,961,131,615,847,701,561,901,154,735,985,660,966,147,444,811,449,375,
295,004,365,350,695,852,490,395,555,858,126,887,653,806,459,296,779,055,007,
643,326,231,443,034,601,498,293,396,203,869,772,421,363,918,891,813,519,919,
529,523,215,707,264,993,453,789,648,870,950,359,196,639,311,317,378,107,641,
330,554,157,145,832,161,140,652,399,234,618,989,925,861,787,206,894,654,392,
356,660,150,767,280,968,888,676,305,647,720,418,856,049,897,053,567,244,732,
325,781,498,124,635,470,625,195,418,809,180,180,478,592,708,464,736,248,356,
273,057,216,817,994,970,658,409,050,700,355,128,203,822,421,379,277,812,410,
005,164,242,722,190,609,041,419,520,736,696,353,409,451,761,435,918,940,597,
697,546,792,766,024,671,050,126,744,288,540,115,010,582,699,198,752,174,524,
501,709,468,307,750,068,240,386,597,074,408,597,763,754,950,593,188,983,371,
334,554,003,172,946,789,820,794,098,318,630,528,615,481,586,228,771,449,439,
956,048,493,305,337,712,514,975,065,183,049,784,722,703,293,955,272,203,396,
046,812,789,782,113,486,345,207,616,143,838,614,067,778,191,362,333,038,790,
562,033,857,122,936,022,327,515,515,711,379,322,344,313,698,863,330,108,233,
753,550,600,637,745,314,958,651,887,651,051,568,925,082,494,903,055,602,674,
287,388,759,843,390,148,714,617,226,577,733,004,172,956,265,100,436,675,604,
425,750,567,998,537,575,073,291,268,100,068,835,495,513,571,357,583,029,690,
348,824,057,588,318,783,763,952,366,687,518,783,408,063,277,486,469,490,496,
539,724,406,078,040,014,263,409,706,963,693,527,300,581,986,178,913,111,688,
509,966,548,181,394,346,069,321,361,227,388,516,282,670,588,891,693,670,448,
215,240,951,583,651,678,980,881,757,960,201,455,492,259,668,916,015,971,582,
436,873,655,577,657,283,040,758,104,350,255,595,690,105,770,775,508,145,052,
292,263,671,081,579,403,751,769,499,618,831,477,534,799,282,326,965,020,026,
783,206,421,989,658,457,550,592,753,974,973,896,496,539,516,775,083,821,914,
172,250,786,608,222,687,095,115,663,420,459,763,987,104,136,612,279,627,154,
375,722,552,223,667,423,481,513,299,893,902,431,166,403,963,773,475,977,672,
530,201,066,682,713,228,784,783,816,606,231,463,231,932,414,744,311,584,381,
207,776,215,481,356,200,273,828,581,574,884,488,297,978,850,973,024,193,382,
054,813,846,940,522,685,493,675,271,804,143,186,348,333,278,477,590,427,765,
738,876,517,242,899,114,533,568,621,760,695,671,750,005,471,949,411,722,648,
268,395,931,691,329,744,271,752,594,948,377,095,212,391,313,039,485,909,673,
494,994,987,622,689,496,012,641,488,951,309,204,058,221,170,018,884,378,058,
045,977,134,859,359,409,258,877,633,914,507,080,730,095,894,833,318,734,283,
393,696,165,446,533,522,796,328,831,526,404,136,621,266,622,871,059,485,238,
903,863,668,025,863,480,030,512,234,840,564,654,830,468,336,898,675,336,074,
285,361,217,454,121,709,197,697,692,805,633,679,038,510,794,704,065,079,822,
200,054,506,301,325,550,947,006,773,247,727,383,500,605,702,456,988,621,759,
815,390,159,096,389,634,809,342,390,383,161,962,310,321,449,118,931,992,073,
199,476,164,811,126,844,274,394,236,259,761,479,172,524,813,833,114,151,704,
145,599,496,066,606,032,272,623,759,997,288,674,196,707,949,881,692,887,382,
254,785,061,913,460,147,000,466,602,321,052,584,333,470,637,035,316,462,411,
253,027,161,538,527,867,558,711,193,626,629,199,810,749,814,438,985,896,579,
609,089,416,856,504,665,479,461,896,413,540,410,199,491,183,538,238,781,343,
188,606,823,836,502,082,407,560,317,342,236,288,245,054,111,480,229,622,679,
363,956,074,787,178,272,289,924,156,396,266,516,257,373,551,853,024,342,234,
306,598,904,184,483,687,711,182,503,936,352,875,452,505,819,298,437,120,508,
685,712,268,999,505,849,696,474,315,222,198,968,226,566,890,992,237,049,285,
199,125,203,886,405,913,139,809,839,209,082,684,806,573,674,665,482,651,204,
443,062,457,912,211,869,824,051,599,284,008,574,411,329,302,757,679,459,188,
802,770,614,489,238,698,897,524,503,789,407,194,557,774,974,294,849,760,825,
035,808,995,039,359,978,983,233,855,670,425,246,205,053,094,973,743,361,595,
137,142,191,205,147,450,488,230,221,120,838,450,371,968,605,054,469,317,929,
833,000,610,037,125,481,580,711,295,248,630,030,686,532,829,697,475,796,609,
530,284,015,669,919,448,554,837,396,459,874,323,446,477,519,195,224,195,908,
472,491,784,729,926,625,649,512,263,781,495,688,526,406,739,258,697,776,378,
010,940,189,365,464,950,867,153,056,424,045,914,557,617,226,511,497,344,889,
800,271,638,933,902,788,495,370,913,091,465,313,408,935,518,979,304,699,556,
597,930,889,324,652,707,442,878,571,456,851,270,476,092,988,296,612,741,369,
210,908,321,484,342,710,171,745,411,293,464,112,876,228,013,130,355,081,463,
026,466,233,749,076,314,147,143,182,853,117,190,986,816,732,497,795,104,543,
443,887,887,653,751,324,342,940,359,559,795,344,080,518,857,855,003,157,935,
688,579,769,463,101,718,334,669,953,643,726,262,230,551,410,219,828,383,085,
232,755,069,557,332,007,592,113,722,823,114,730,812,166,754,104,837,212,640,
383,308,861,611,764,983,722,588,522,004,796,374,314,406,564,529,730,987,411,
519,580,401,238,907,174,851,083,550,147,003,392,255,550,757,710,103,344,541,
165,923,408,661,181,686,455,553,639,156,525,962,829,120,872,307,480,145,285,
878,819,220,849,724,560,992,691,419,640,575,459,080,684,462,897,036,478,144,
887,809,085,561,954,765,434,537,180,147,744,586,431,172,065,311,208,704,148,
813,053,647,319,063,188,703,836,865,518,156,422,864,569,815,562,142,885,541,
893,168,763,898,764,295,508,347,630,475,105,970,795,303,127,877,859,060,940,
015,406,354,553,868,537,863,185,692,949,960,550,368,389,623,426,693,827,698,
513,212,009,908,976,867,072,730,611,366,206,158,698,477,988,589,884,398,980,
031,671,023,319,098,306,936,273,691,955,709,222,932,402,135,647,005,890,279,
659,824,072,642,839,394,523,933,285,305,761,965,055,038,867,037,489,320,167,
899,345,080,197,244,151,684,740,697,579,925,499,289,253,708,391,243,138,422,
455,166,776,181,717,260,236,107,281,103,162,951,163,790,336,385,682,018,936,
218,094,667,785,696,262,664,068,313,018,285,289,945,516,466,485,526,118,214,
399,567,385,866,641,626,565,003,764,481,541,338,799,134,705,101,088,832,524,
818,254,693,610,567,438,792,586,099,580,666,052,226,549,075,279,489,564,258,
044,981,112,555,168,667,267,651,628,082,565,679,536,824,308,785,253,618,361,
959,982,344,792,976,655,406,348,741,866,913,017,692,058,068,981,998,159,920,
355,791,832,347,750,918,636,894,062,689,913,796,930,455,737,274,730,612,227,
702,600,329,824,734,741,122,906,247,868,633,748,213,887,266,199,925,704,229,
531,799,368,143,494,710,064,570,069,982,936,340,393,951,073,073,357,428,435,
434,662,666,931,880,583,070,264,133,019,372,408,571,259,356,840,097,862,958,
074,514,507,949,735,334,542,288,918,608,709,657,646,161,775,651,119,060,174,
530,472,604,567,499,006,771,524,764,340,332,871,930,403,672,566,879,275,887,
897,281,599,930,240,070,697,982,790,039,667,842,762,072,468,698,639,412,684,
768,537,112,598,930,052,308,866,621,664,969,216,662,476,113,416,251,086,031,
566,968,512,020,856,300,591,247,458,935,656,871,452,911,830,850,451,705,588,
395,671,461,346,909,116,883,271,360,395,532,484,162,920,288,606,053,716,842,
345,302,780,604,225,199,601,876,176,468,109,948,322,163,117,037,339,700,857,
831,020,008,783,875,758,094,530,535,422,860,407,135,477,322,557,287,184,108,
205,272,495,819,778,760,158,027,284,041,506,774,835,822,396,397,403,722,195,
201,595,192,234,789,596,518,268,548,537,968,467,156,867,377,759,448,043,275,
569,753,014,097,192,018,271,724,440,726,791,246,731,472,605,563,023,422,365,
330,292,022,713,424,742,708,632,816,233,748,324,575,712,809,102,576,785,619,
563,651,442,297,564,347,448,040,646,738,605,629,475,316,129,517,355,032,468,
424,468,573,867,823,060,153,687,867,536,302,113,066,857,675,886,582,110,705,
021,896,556,740,312,025,845,956,783,786,330,144,028,608,923,990,072,687,891,
942,352,948,862,437,988,509,261,414,751,824,469,616,344,069,910,484,255,363,
063,942,273,155,197,777,672,286,549,152,847,641,888,407,935,636,229,924,354,
151,157,848,270,435,524,388,802,171,640,797,199,296,755,237,907,347,512,927,
142,997,645,585,075,057,384,563,965,621,340,930,844,183,282,081,085,924,040,
019,458,488,804,032,997,518,167,928,317,354,090,284,994,069,631,507,474,582,
344,534,104,647,205,541,165,509,156,103,201,075,209,669,563,765,646,406,161,
442,940,088,193,131,669,045,267,687,400,153,108,206,893,819,845,564,004,622,
169,333,782,080,403,226,148,754,790,430,077,076,434,226,940,918,600,565,592,
756,358,686,063,674,196,606,606,460,417,219,907,213,085,029,993,839,001,547,
877,929,222,764,736,203,109,701,449,422,850,121,058,876,925,617,742,038,425,
898,522,032,483,452,964,693,106,302,118,189,754,338,487,857,857,364,326,164,
155,960,159,761,666,051,855,047,299,010,184,907,660,321,204,022,021,642,500,
964,271,627,134,393,745,539,804,464,702,895,338,104,526,791,719,328,561,824,
892,686,323,158,276,549,224,256,981,113,697,133,164,356,391,916,073,961,837,
835,186,328,914,763,900,755,825,401,154,930,954,389,876,099,391,417,927,491,
607,322,122,441,924,564,297,663,005,961,331,819,189,304,102,604,795,378,987,
114,542,410,858,304,260,987,397,566,092,966,112,813,754,767,800,100,677,552,
149,071,654,928,948,940,034,436,970,295,747,827,348,479,731,556,973,779,769,
256,301,405,294,840,214,438,931,463,129,755,617,684,429,333,323,210,280,829,
360,724,055,050,326,405,283,106,866,857,195,968,438,676,209,774,768,138,708,
787,115,253,874,928,473,625,494,419,510,924,009,127,746,020,828,665,749,636,
524,967,379,257,419,377,195,993,469,879,416,402,932,165,122,955,908,353,399,
238,569,655,350,503,760,887,359,660,274,131,728,456,625,917,093,405,519,879,
492,644,758,454,872,967,704,300,100,921,640,466,512,581,534,539,482,422,500,
081,174,530,587,446,990,552,654,477,990,647,849,151,033,610,219,654,316,905,
531,967,576,619,434,245,049,360,334,796,306,459,686,737,579,774,078,084,444,
629,882,338,897,932,177,547,734,616,724,496,803,670,659,191,779,523,149,701,
418,369,786,588,535,170,448,746,870,601,656,671,008,106,451,493,274,153,556,
453,121,889,964,577,644,178,891,948,952,942,149,950,508,035,127,967,955,644,
310,568,699,057,646,477,500,540,345,354,964,947,116,504,692,755,233,612,869,
342,066,416,072,003,067,153,155,016,839,803,142,121,826,829,774,783,464,106,
657,378,490,803,928,531,875,071,288,403,586,080,816,746,012,234,292,697,428,
372,306,340,721,084,196,809,077,088,168,008,220,904,071,150,167,185,912,673,
546,505,152,524,345,390,398,639,240,379,231,757,648,533,914,600,593,658,394,
765,133,236,214,684,227,609,083,880,069,073,295,666,259,738,563,410,983,873,
732,309,815,909,477,332,972,465,549,194,745,742,909,717,094,566,470,228,840,
851,840,410,571,710,587,534,122,910,374,959,417,474,173,623,226,757,332,681,
963,732,494,288,819,158,821,397,420,713,401,811,760,228,853,520,976,406,316,
445,480,988,296,070,157,828,274,550,056,331,620,745,627,392,388,932,023,209,
565,622,943,871,312,089,003,589,765,807,466,490,445,295,851,502,765,076,202,
389,933,292,100,003,606,150,156,015,480,577,322,569,893,581,685,225,280,597,
343,804,667,826,013,641,565,223,364,001,061,057,302,226,970,023,518,355,719,
921,652,946,737,055,620,693,447,783,118,523,664,446,583,772,488,893,139,639,
790,853,227,544,927,447,382,300,888,777,027,498,927,733,528,369,849,839,783,
803,324,287,102,614,229,426,537,927,585,963,969,491,247,852,446,562,442,803,
639,714,366,571,029,227,702,973,243,081,503,854,745,470,045,639,020,998,851,
970,523,463,043,751,821,075,558,775,731,329,749,110,582,627,377,809,097,305,
006,077,958,888,881,734,337,177,792,638,421,819,468,374,469,769,792,142,563,
106,819,599,171,545,359,318,055,388,243,762,523,605,801,520,011,367,461,257,
387,265,294,193,730,235,991,404,993,042,450,814,998,618,144,117,822,484,191,
718,317,963,498,589,750,577,205,082,528,658,521,682,485,832,994,006,710,159,
943,967,244,369,346,179,222,942,746,070,533,282,447,910,573,623,789,966,885,
318,168,289,985,119,234,362,687,538,604,086,127,117,605,280,777,553,244,644,
782,412,202,921,013,829,793,664,689,164,411,583,251,546,655,008,831,423,649,
397,784,498,873,527,048,129,612,243,136,354,610,889,715,594,550,801,255,084,
019,436,187,105,795,534,045,595,340,370,149,926,982,651,455,482,786,881,247,
082,600,199,792,956,771,633,198,673,222,433,073,328,718,125,776,822,570,954,
414,469,716,003,509,366,469,260,873,230,361,218,396,880,421,853,477,045,098,
530,021,785,011,366,430,361,083,215,374,081,370,877,568,191,536,570,814,714,
157,429,561,688,470,957,866,091,286,329,243,743,495,815,725,467,300,875,231,
231,487,225,645,633,840,812,122,263,535,117,519,052,635,398,584,854,159,934,
993,718,102,847,513,987,814,841,526,233,052,697,524,318,631,101,249,080,391,
056,124,426,407,234,095,996,265,621,351,723,063,079,311,388,303,788,873,987,
422,031,723,343,437,943,572,994,583,098,360,725,243,522,498,292,950,218,145,
495,397,748,614,027,812,101,099,169,104,662,275,057,235,165,996,513,631,046,
630,681,311,384,921,704,700,565,490,991,206,188,667,472,284,980,726,144,829,
859,640,073,400,086,343,372,621,659,246,959,063,687,903,037,679,422,366,515,
331,369,962,443,221,200,024,020,090,557,323,847,402,805,951,949,427,573,236,
546,965,716,806,748,301,831,178,789,167,793,373,597,918,446,446,991,357,556,
269,691,583,409,921,828,174,139,422,782,952,792,280,062,187,208,741,733,332,
407,890,755,598,952,318,351,422,719,403,207,906,707,095,590,808,399,901,543,
828,489,513,931,830,664,146,472,926,798,107,331,938,862,350,199,536,896,953,
439,213,279,340,168,881,638,234,828,596,856,065,213,603,888,284,537,010,245,
446,299,168,997,358,067,638,830,537,701,585,205,660,476,842,408,660,712,716,
681,544,995,127,705,008,180,145,686,901,029,297,523,250,133,355,826,395,514,
991,734,392,558,625,818,151,707,373,426,517,191,315,185,483,193,560,499,112,
611,473,624,522,904,604,955,037,546,612,033,749,507,353,326,294,704,598,166,
799,816,426,486,366,177,722,439,561,340,657,282,643,611,173,964,335,405,460,
409,167,438,508,210,081,098,324,721,876,980,103,633,389,677,202,031,627,231,
570,206,346,740,416,312,259,724,106,972,616,035,010,562,978,360,527,092,087,
830,781,954,883,889,965,483,260,198,152,904,290,301,490,744,314,393,826,383,
011,270,691,617,568,467,629,501,530,043,458,952,081,764,492,282,146,040,201,
945,805,661,049,943,941,587,103,095,361,869,424,417,361,268,387,969,336,409,
423,313,040,074,909,243,561,812,402,937,688,230,197,952,956,921,187,986,446,
333,266,985,144,951,902,589,051,473,127,077,464,850,753,002,034,100,723,999,
288,776,381,700,278,915,928,875,682,325,863,116,943,346,700,141,111,290,645,
924,268,203,328,645,380,673,973,802,983,692,921,661,487,515,250,467,390,367,
347,988,106,319,754,157,480,521,400,013,982,582,278,202,616,120,734,581,839,
976,455,123,557,264,043,403,569,563,659,830,304,010,922,972,022,672,606,127,
262,105,026,165,265,815,862,722,673,682,678,290,938,593,697,094,491,044,867,
228,572,202,356,419,405,352,395,231,148,565,003,819,648,666,332,843,457,629,
268,249,088,185,523,192,086,958,723,543,277,296,430,839,136,665,039,743,674,
902,995,246,338,455,918,059,766,668,770,128,804,998,931,395,982,185,338,379,
459,355,685,643,057,581,414,300,670,239,986,059,604,312,371,459,402,163,060,
068,367,517,117,150,617,638,195,442,454,534,278,913,965,312,627,518,027,092,
670,037,805,093,561,007,170,969,449,326,212,743,499,657,166,739,611,201,151,
283,009,578,018,088,275,223,873,946,044,530,378,166,948,841,607,816,183,185,
492,029,252,969,026,243,805,438,096,718,676,084,179,877,795,847,210,701,855,
016,214,971,487,703,463,076,241,547,029,729,180,307,589,397,058,700,623,925,
807,949,337,419,341,788,436,887,866,661,935,833,311,864,453,831,691,698,134,
640,611,120,145,245,478,504,673,408,481,016,784,541,146,737,794,825,386,325,
411,844,017,615,951,740,524,868,913,396,246,811,942,257,825,519,077,241,892,
663,258,903,289,854,455,809,409,342,450,915,769,239,788,371,975,779,817,060,
149,062,647,624,372,846,736,701,222,641,889,840,097,475,337,896,186,702,878,
324,316,457,577,885,343,506,027,405,403,677,506,773,805,930,423,634,470,652,
746,349,584,777,994,018,205,952,336,619,244,706,363,699,716,648,056,010,455,
945,160,960,738,696,079,210,927,554,596,051,589,407,316,272,302,734,193,296,
980,560,589,892,672,807,037,738,770,580,813,497,692,789,220,400,802,398,660,
216,566,012,549,787,401,202,996,092,801,729,551,655,227,911,131,124,818,285,
736,555,459,226,104,632,632,810,817,970,820,624,301,436,742,575,831,154,645,
433,943,294,468,190,030,267,058,482,361,386,126,188,294,344,621,175,149,895,
395,217,423,519,331,297,525,908,506,199,404,746,912,740,901,789,085,473,741,
054,063,321,194,350,600,303,700,426,808,054,203,954,703,364,868,846,341,248,
452,232,046,840,247,292,179,698,468,109,280,924,218,535,253,448,019,122,803,
917,856,578,350,740,551,334,611,529,200,494,862,948,436,484,113,755,333,016,
059,148,428,559,991,172,634,507,395,728,014,698,298,139,312,506,395,597,265,
669,214,717,629,421,725,782,434,914,954,790,770,315,632,911,828,171,103,829,
146,042,875,124,284,040,790,047,404,917,095,862,899,822,723,665,946,932,211,
755,301,261,530,176,608,819,806,419,010,947,589,082,457,286,085,571,587,081,
262,568,520,218,893,113,239,713,400,471,793,557,470,623,950,559,167,092,903,
361,016,940,751,909,802,167,354,707,658,092,608,277,748,121,878,985,381,992,
298,438,240,102,768,237,801,096,154,164,908,652,362,181,464,325,331,509,389,
585,627,715,409,021,763,248,101,288,257,161,131,424,121,029,465,260,083,206,
336,284,628,405,080,238,603,769,304,497,340,822,611,072,325,180,253,176,941,
117,138,668,893,353,215,233,638,614,202,394,355,709,669,699,403,623,502,950,
041,158,683,315,938,193,158,941,041,483,679,125,171,833,907,745,150,303,397,
112,423,866,256,516,945,772,992,920,489,656,919,593,972,516,990,975,711,710,
968,248,806,868,263,406,195,681,660,055,924,555,690,539,990,056,423,337,463,
376,556,686,349,367,456,182,222,184,294,768,441,696,386,256,230,120,205,028,
068,387,462,322,839,362,692,096,818,966,742,544,789,175,104,723,636,560,159,
532,174,997,129,466,742,143,851,042,861,423,507,699,223,714,627,181,522,996,
361,292,870,154,484,449,298,339,331,226,270,526,696,805,137,331,877,461,633,
828,272,674,716,047,605,833,172,118,307,964,442,060,764,372,686,962,908,329,
542,113,514,014,186,163,710,796,388,302,311,829,238,458,627,449,915,881,067,
567,531,608,118,467,609,180,325,363,955,365,870,824,391,117,362,534,995,429,
312,855,462,357,570,187,982,376,683,504,208,887,430,288,311,389,258,427,410,
164,392,864,063,648,667,267,726,480,836,744,492,742,954,608,138,908,581,339,
704,471,991,703,066,941,347,683,210,442,004,119,899,716,332,077,236,099,607,
328,321,232,182,739,706,874,765,470,374,282,899,919,921,699,453,884,305,185,
593,177,632,126,097,382,721,009,691,163,656,206,113,017,016,471,434,115,045,
560,503,942,453,295,592,367,294,511,489,898,678,844,800,990,518,776,168,369,
832,917,965,505,512,384,377,023,797,672,295,781,558,026,947,428,151,339,973,
649,541,643,072,555,324,153,200,503,945,126,888,521,787,438,247,277,831,983,
398,264,129,363,577,897,753,708,001,544,689,118,346,926,099,159,463,226,699,
662,583,619,937,300,859,574,664,798,889,550,540,581,237,603,634,645,927,203,
810,570,974,715,161,908,639,279,273,675,969,406,370,977,838,194,967,418,999,
698,452,014,828,992,706,996,195,722,880,763,679,715,873,964,376,398,977,310,
197,831,618,026,612,442,506,208,077,712,970,559,558,326,469,907,396,283,859,
657,106,814,426,360,817,060,436,438,658,943,913,177,940,106,923,938,827,097,
523,748,720,566,499,407,870,294,774,249,234,948,351,166,603,474,781,649,059,
784,803,259,878,641,917,290,298,366,535,748,338,611,475,873,260,589,288,027,
273,196,879,459,462,165,643,633,752,195,219,043,730,326,331,186,632,859,229,
128,876,626,068,391,233,190,816,422,854,807,680,645,405,029,361,055,818,715,
157,371,866,730,300,191,429,162,673,128,899,534,091,234,877,407,509,461,027,
850,471,718,314,587,231,274,532,238,442,325,220,949,079,640,207,183,869,998,
633,233,945,733,651,682,875,706,666,787,056,028,329,593,368,935,593,387,033,
013,138,544,570,500,303,368,251,367,160,612,853,700,689,573,445,376,493,693,
718,900,898,252,956,876,420,039,917,650,992,210,930,223,350,488,385,231,984,
824,726,036,735,215,556,028,847,977,785,807,669,478,625,429,638,845,983,707,
036,733,097,671,922,986,856,422,064,178,292,626,484,484,448,540,307,117,756,
110,767,197,739,804,007,531,778,880,629,060,828,228,096,997,526,661,700,592,
136,122,136,129,909,463,661,541,816,461,202,378,612,719,159,205,392,862,437,
048,102,154,296,449,011,876,918,724,090,236,830,786,466,419,637,197,986,898,
215,536,937,115,497,353,863,817,045,750,677,126,733,245,727,951,631,575,639,
030,136,148,494,317,647,160,931,595,731,419,266,273,290,591,290,332,266,211,
425,667,015,594,941,044,485,190,742,980,457,138,014,910,046,541,889,251,410,
395,137,296,450,336,402,888,733,245,674,815,130,255,155,703,201,064,263,217,
002,910,747,202,987,528,969,926,955,998,582,194,258,152,592,790,701,442,173,
227,626,181,067,031,450,153,967,629,839,428,536,162,764,757,996,188,924,440,
873,735,583,185,593,814,717,268,989,912,606,842,567,559,899,286,965,278,300,
534,948,866,160,190,859,583,460,933,188,307,612,723,560,672,972,247,326,622,
624,242,962,210,415,986,920,368,295,316,906,183,582,284,118,214,947,298,154,
200,848,194,421,999,619,774,741,003,124,266,962,764,936,373,243,749,109,484,
912,702,251,014,739,096,701,699,755,734,962,553,385,139,474,693,262,931,496,
060,892,420,515,918,531,305,416,401,665,320,589,768,354,862,747,904,876,327,
409,888,838,010,649,612,630,349,972,322,359,217,767,713,326,879,642,117,584,
406,703,797,945,418,419,530,303,606,082,315,522,719,506,848,134,629,679,633,
856,718,064,070,518,189,540,826,837,821,919,964,258,064,870,695,704,179,654,
497,644,183,237,628,718,911,901,502,775,541,018,785,655,942,851,399,300,882,
983,855,498,595,055,360,044,017,051,799,652,783,107,982,481,436,249,608,698,
039,286,163,206,455,390,022,547,056,679,779,133,610,668,040,454,428,300,403,
096,207,449,978,658,120,327,474,542,442,422,042,968,707,064,301,458,620,828,
189,719,791,773,017,370,896,693,313,799,879,038,405,044,685,058,647,869,146,
655,771,728,686,498,661,194,354,856,085,200,291,682,444,127,074,537,092,398,
091,584,676,525,198,479,938,872,736,591,058,733,292,173,093,955,469,999,199,
633,623,029,240,630,503,713,363,133,461,487,653,955,664,911,179,598,044,476,
091,754,846,507,653,735,416,534,926,870,812,418,799,293,367,331,687,826,025,
020,937,656,740,091,554,271,353,367,967,505,801,894,920,604,074,169,260,063,
456,513,154,445,943,289,756,350,811,794,044,130,042,403,901,052,448,987,778,
536,354,911,382,029,285,614,688,068,920,883,521,232,224,332,867,402,559,960,
729,030,971,693,345,864,472,750,700,826,428,525,328,057,669,444,819,277,802,
671,032,466,437,336,109,167,315,040,296,763,419,624,187,487,692,361,739,306,
126,300,981,918,716,704,299,132,196,445,962,662,916,656,831,727,214,011,200,
445,863,124,424,019,006,532,855,130,597,523,417,297,509,312,171,697,010,108,
222,582,176,795,104,066,184,311,438,645,686,160,515,815,697,064,844,375,092,
048,440,721,132,056,114,757,044,906,756,408,040,255,627,640,730,179,069,453,
771,905,341,223,312,402,538,371,465,195,999,719,479,004,441,203,114,074,947,
118,491,177,476,962,897,106,003,654,316,293,928,324,452,304,352,315,362,782,
465,649,328,098,815,282,690,839,645,369,974,669,689,335,370,153,329,045,969,
131,443,847,593,522,135,083,659,612,546,518,471,800,851,009,028,200,888,907,
157,550,913,740,971,732,904,468,377,823,073,408,376,091,534,849,068,415,557,
524,201,471,146,207,503,257,417,858,436,162,322,044,404,628,047,487,599,120,
641,583,597,420,512,945,042,112,677,773,909,067,632,667,482,833,118,227,696,
431,312,964,428,236,165,728,440,607,611,024,370,278,494,640,452,140,645,456,
477,824,628,512,907,883,274,296,379,904,155,317,328,653,184,687,469,155,161,
505,119,768,787,958,622,803,682,257,696,353,119,270,505,923,054,154,787,397,
573,308,980,172,411,503,967,949,897,514,821,115,107,576,301,878,095,715,514,
540,860,907,985,377,670,357,511,964,598,637,193,434,861,659,478,240,291,802,
594,604,747,908,714,997,260,696,129,918,544,884,976,087,625,032,240,765,310,
841,325,307,436,542,428,806,998,936,983,351,204,974,545,467,831,380,357,093,
314,878,703,432,191,698,814,375,762,285,858,588,279,136,636,112,088,046,061,
258,576,995,444,724,167,765,440,003,218,367,779,495,268,980,551,631,457,807,
676,893,246,984,391,347,135,486,024,393,035,499,708,532,107,120,103,899,500,
202,286,938,539,933,981,817,213,191,047,438,380,669,322,213,325,392,990,237,
445,361,213,268,415,559,411,024,367,898,716,138,470,791,364,219,189,085,723,
394,376,013,633,834,978,270,162,735,067,795,232,374,997,776,348,647,256,725,
606,739,138,381,355,191,764,836,935,506,034,466,784,308,177,670,924,225,663,
430,716,352,957,698,058,738,528,936,163,410,480,224,987,207,706,507,399,049,
495,255,924,340,458,796,868,159,473,441,479,551,521,615,258,340,847,755,098,
260,769,690,372,042,746,170,006,303,808,479,987,108,327,840,259,185,069,534,
973,406,709,487,107,239,469,658,678,472,457,264,503,711,911,303,801,920,261,
843,820,817,602,606,270,482,695,961,360,529,034,135,114,857,964,210,683,379,
026,738,998,074,380,288,314,678,864,711,758,908,391,325,161,565,386,529,704,
680,127,963,928,049,492,204,194,919,340,604,738,819,591,690,712,841,563,667,
572,886,247,291,996,690,118,307,019,565,622,268,637,455,280,748,576,353,643,
360,220,249,607,138,783,369,689,801,938,257,023,748,990,664,203,440,446,093,
518,357,625,102,877,255,801,361,464,215,620,200,708,555,459,254,603,158,711,
352,136,591,736,852,076,460,486,999,389,443,389,344,585,344,673,780,351,575,
680,926,898,164,945,549,969,920,951,159,410,975,478,173,244,223,919,956,857,
304,726,884,740,249,114,782,290,464,096,798,575,032,049,876,670,843,113,540,
293,994,315,400,597,729,300,914,622,667,662,685,487,736,682,464,811,911,828,
168,305,015,403,024,058,515,895,401,435,383,672,213,655,947,710,194,801,033,
360,994,004,738,114,628,040,716,560,149,284,878,643,091,135,614,758,165,035,
571,961,549,285,398,446,391,482,429,997,309,138,610,253,987,526,570,219,933,
440,771,655,275,429,637,432,713,445,465,764,842,279,024,765,741,858,134,604,
546,902,731,848,570,636,551,167,368,965,088,981,372,940,377,693,480,049,772,
232,757,674,488,385,744,381,696,218,447,190,356,106,543,268,508,747,485,189,
350,681,202,083,188,605,877,723,233,926,529,606,112,402,013,262,540,799,367,
342,631,172,106,860,936,361,185,519,068,049,356,559,136,902,785,684,142,876,
411,310,649,436,357,833,898,606,152,774,089,297,999,401,305,966,306,099,357,
746,328,585,205,655,595,643,318,269,367,915,208,301,215,898,647,469,368,171,
841,067,325,233,098,995,108,015,219,178,018,199,211,189,514,714,196,937,593,
336,210,189,996,921,594,543,971,230,213,340,087,977,707,319,019,889,081,982,
335,187,948,999,118,852,751,858,046,966,256,691,546,179,887,037,150,908,676,
064,788,279,066,754,008,364,930,625,986,688,553,815,546,766,954,846,732,711,
800,493,331,452,725,840,016,912,291,038,327,026,080,968,774,551,338,750,600,
755,586,615,231,962,819,760,161,668,559,313,391,983,843,316,217,294,618,076,
958,943,933,065,701,348,513,545,019,850,657,869,427,947,424,612,777,073,805,
714,785,504,461,268,180,665,561,646,656,399,818,132,633,101,187,627,222,208,
305,155,526,855,226,135,735,287,886,244,645,219,586,338,010,074,088,774,066,
363,894,473,913,315,107,850,367,157,057,923,234,858,996,696,483,975,506,780,
643,439,024,861,114,288,581,724,147,924,525,450,369,023,711,505,753,557,039,
011,159,553,467,849,638,384,642,303,077,761,900,769,778,361,564,694,841,486,
568,016,495,832,091,135,244,825,732,130,344,941,485,682,777,310,519,914,819,
152,738,006,350,624,616,296,505,508,148,007,307,364,691,033,395,177,117,639,
552,715,491,193,114,070,133,958,180,472,187,203,592,717,106,358,194,435,702,
124,439,366,229,355,227,020,454,709,480,888,939,328,318,612,689,752,318,895,
657,174,296,097,917,387,030,138,423,969,074,298,967,836,796,555,485,757,326,
915,179,265,094,673,412,017,197,882,927,207,319,093,044,814,786,530,744,504,
501,349,757,243,370,442,963,415,905,164,587,696,758,507,012,652,182,076,972,
444,291,588,673,391,226,579,905,901,191,850,479,880,916,511,769,249,299,235,
856,163,153,052,499,599,454,087,295,020,232,558,734,572,254,771,951,771,694,
901,439,896,275,228,708,371,903,729,364,608,391,220,842,698,536,147,296,395,
250,597,259,459,678,669,981,050,497,424,704,914,874,771,952,651,516,677,364,
786,867,859,724,085,787,850,449,736,281,185,138,534,369,409,124,566,688,735,
166,678,923,414,598,054,315,098,719,391,756,777,407,806,199,137,418,858,602,
465,529,518,615,530,456,817,856,031,739,963,881,166,309,014,557,494,220,788,
405,734,308,370,881,235,019,351,818,139,078,760,459,677,240,403,603,167,857,
128,042,704,011,096,610,179,636,993,200,804,175,325,357,955,467,166,202,615,
397,024,560,045,179,038,200,275,028,929,219,833,168,559,633,563,468,467,381,
923,434,507,979,027,420,241,066,035,491,473,048,761,273,192,002,375,723,006,
932,337,819,006,122,726,244,434,875,276,581,521,393,436,619,205,058,478,468,
310,553,183,803,546,870,200,556,402,022,564,023,097,069,139,954,356,666,639,
189,598,180,089,967,425,603,824,940,392,359,998,111,826,391,478,243,648,321,
295,651,955,300,556,486,340,813,378,814,522,360,578,965,004,676,371,832,002,
707,160,551,273,145,640,763,786,649,999,385,793,645,568,941,565,473,549,512,
708,010,757,980,020,602,195,928,765,216,422,049,208,477,197,920,519,040,459,
371,105,707,224,486,285,637,883,432,047,827,580,729,121,088,250,972,778,093,
737,118,349,027,936,066,353,656,614,755,446,569,483,117,606,080,341,383,977,
231,587,724,491,795,890,318,281,859,140,503,743,265,920,456,604,755,361,572,
361,047,263,211,947,174,315,894,599,524,942,981,005,981,710,335,010,353,696,
104,462,414,384,181,762,662,044,178,083,009,769,721,986,436,610,003,020,394,
043,950,915,214,732,872,262,107,442,315,249,934,254,646,868,336,930,980,494,
362,245,256,724,884,057,523,604,179,273,548,686,843,594,505,709,831,798,616,
196,209,500,425,852,971,456,519,203,234,661,353,117,362,683,968,048,807,461,
580,616,088,145,051,702,659,337,555,223,046,806,271,856,136,445,254,995,108,
332,566,445,192,581,076,412,663,645,050,294,294,035,306,855,740,081,186,565,
951,077,929,527,820,858,369,354,641,247,683,803,097,919,036,766,369,099,024,
841,602,907,590,773,831,689,128,787,557,449,316,016,045,677,080,885,244,533,
321,495,109,068,428,737,370,775,475,914,119,161,492,891,600,770,645,532,251,
069,866,521,682,591,936,490,468,530,510,653,048,791,709,718,822,678,061,867,
196,334,741,271,258,350,258,239,119,777,686,105,199,753,286,696,126,512,413,
284,629,587,983,924,136,381,166,462,387,230,497,282,881,141,054,449,901,248,
248,781,330,654,385,754,940,646,309,851,520,765,867,230,565,002,459,197,708,
364,003,524,039,884,773,778,371,522,154,656,596,888,226,393,452,656,341,655,
125,168,405,436,632,215,874,713,418,165,860,711,261,487,664,039,124,923,514,
538,676,315,778,465,845,151,401,560,126,630,111,820,816,124,797,090,740,358,
906,915,956,681,975,836,315,263,275,646,758,159,002,138,958,949,520,420,830,
109,260,277,474,609,148,154,437,479,229,172,833,727,446,515,416,831,509,225,
643,329,650,443,587,167,042,059,469,705,343,277,351,669,437,843,960,999,414,
541,997,301,503,170,405,157,928,875,372,479,594,090,947,663,302,151,042,101,
553,620,376,106,187,267,543,201,524,326,217,672,174,863,131,674,691,613,521,
930,270,372,955,246,818,269,282,038,801,082,427,611,853,360,737,038,267,644,
948,053,417,007,431,046,228,268,397,454,238,896,268,936,650,699,339,018,117,
838,360,059,441,014,234,193,347,873,917,227,676,120,435,027,582,831,761,987,
582,807,319,936,024,662,575,582,145,445,381,218,275,428,987,233,087,699,978,
269,702,108,962,022,145,149,270,575,592,474,814,646,412,503,025,793,276,350,
984,260,461,082,549,539,621,879,243,841,411,345,817,096,618,086,525,707,399,
978,451,359,120,050,327,218,669,243,470,702,789,165,299,038,276,605,624,842,
106,217,232,770,366,091,166,045,025,432,800,522,867,736,970,059,874,843,066,
667,951,872,723,381,156,954,930,663,328,323,436,153,543,592,495,823,743,132,
024,850,585,916,478,868,712,975,751,187,900,221,843,276,653,448,986,039,821,
764,144,127,955,015,293,365,639,011,648,824,684,958,476,985,143,798,280,222,
108,827,663,602,864,713,794,959,578,978,175,687,591,508,765,618,330,244,932,
409,760,388,524,410,562,167,849,023,632,215,264,672,727,911,671,906,551,911,
362,718,407,622,554,800,406,878,272,644,346,439,413,969,124,582,347,972,537,
740,559,709,750,900,595,319,963,507,522,240,966,843,131,644,057,470,909,698,
109,648,476,217,032,828,826,866,837,315,328,192,377,710,622,220,642,028,423,
568,906,707,020,462,900,987,851,513,947,205,978,048,872,366,972,539,096,736,
011,751,373,458,819,977,623,891,403,951,769,360,946,169,971,158,976,982,475,
743,657,546,482,003,749,051,635,257,736,942,468,669,602,000,015,477,802,977,
276,578,541,473,106,821,075,539,610,413,452,720,137,381,975,953,651,475,883,
758,903,177,201,004,888,710,477,834,872,386,889,078,374,039,208,924,029,191,
215,007,350,778,935,433,017,127,146,104,328,647,893,399,070,717,038,385,748,
808,099,407,890,390,478,361,066,488,578,321,975,654,608,240,216,047,217,604,
870,115,575,895,643,151,953,957,415,907,618,296,711,231,795,785,483,438,297,
816,595,854,007,420,087,828,789,543,876,454,648,581,307,035,537,063,121,972,
221,800,483,356,247,682,738,364,210,167,587,247,265,861,930,964,659,716,219,
383,114,209,869,800,077,916,727,237,607,269,473,803,465,186,001,603,125,405,
214,476,083,912,843,509,373,395,832,645,867,790,233,169,876,917,992,176,337,
096,297,827,508,720,786,331,783,547,624,053,069,411,438,535,359,907,962,782,
950,194,432,616,336,757,789,227,347,096,502,897,634,838,326,507,423,596,319,
899,870,492,447,623,576,210,059,034,433,963,079,966,582,397,722,173,824,834,
982,620,621,586,383,796,030,497,096,036,512,712,674,413,664,433,837,236,208,
955,554,026,417,722,349,821,053,575,002,459,819,372,790,410,138,825,151,980,
337,691,367,126,078,408,442,588,714,408,559,122,035,037,689,179,193,048,118,
308,835,121,538,748,494,156,269,471,514,171,220,722,459,951,885,156,808,082,
153,218,838,841,377,818,984,921,528,977,958,371,320,768,330,816,150,944,217,
947,878,291,855,997,723,559,076,955,156,502,142,687,741,260,889,313,290,474,
236,552,336,047,108,269,834,486,136,852,677,479,601,668,596,751,380,104,448,
051,022,751,301,414,994,268,359,416,137,984,656,708,334,073,805,551,776,550,
838,814,690,998,679,807,839,621,366,488,867,494,559,917,572,296,634,668,336,
468,707,836,163,969,712,207,223,153,609,079,574,284,297,145,080,319,540,509,
575,115,260,523,573,707,129,081,245,263,603,983,616,152,113,518,374,812,746,
681,808,823,669,393,939,750,561,824,334,101,510,659,324,603,493,237,053,032,
580,306,082,024,143,829,181,478,586,265,372,597,675,202,878,619,894,042,899,
419,652,119,486,927,401,862,253,180,455,778,107,610,564,631,265,567,474,678,
890,706,835,215,455,135,161,136,537,181,742,831,507,682,342,788,085,847,798,
426,039,718,448,205,940,354,579,069,133,071,675,410,468,619,049,943,626,826,
020,110,063,411,754,246,967,944,657,711,534,911,500,324,112,153,939,643,121,
692,449,295,964,017,012,417,634,329,425,921,075,428,577,379,914,599,653,147,
260,790,977,433,365,600,525,078,720,007,182,407,365,437,494,116,337,008,591,
627,442,568,430,845,005,881,059,195,625,616,224,414,343,204,117,324,835,729,
528,790,071,726,052,846,255,907,865,575,603,662,855,639,496,958,625,727,532,
638,728,380,494,700,943,179,237,738,047,346,927,775,310,221,837,971,956,971,
146,078,492,384,659,223,815,514,625,206,426,121,326,835,652,117,958,167,865,
522,284,564,677,082,671,034,794,504,526,733,284,269,073,939,389,084,216,060,
872,724,968,901,497,057,058,684,459,382,958,604,803,421,568,519,607,932,556,
584,442,210,242,377,051,283,364,502,725,815,712,694,612,210,986,539,519,569,
108,546,578,113,422,871,460,127,003,130,692,076,028,245,211,050,258,893,162,
105,578,990,192,320,559,296,559,327,473,716,168,965,690,872,320,139,583,115,
873,169,732,678,696,994,985,862,482,453,152,435,436,707,437,743,948,883,069,
733,709,451,599,900,222,913,229,135,558,143,901,565,735,791,487,861,686,566,
369,164,431,136,281,464,609,716,192,674,311,007,784,008,377,553,578,205,397,
745,181,738,735,028,430,073,819,000,585,906,112,416,104,255,582,171,130,284,
350,687,976,346,551,489,955,710,863,556,039,244,052,652,330,654,226,779,293,
592,836,744,203,570,169,273,543,838,406,583,186,966,129,887,137,902,054,992,
423,111,512,500,044,756,345,108,282,682,453,058,137,839,377,926,656,743,180,
251,763,024,920,571,829,483,408,982,095,468,683,941,954,306,081,275,456,318,
742,136,599,324,068,164,018,435,844,195,702,117,350,167,063,012,228,188,991,
091,465,318,057,816,211,486,956,809,342,761,392,523,923,191,265,417,174,496,
495,857,056,733,280,075,927,097,969,529,518,075,789,997,152,483,152,179,245,
353,041,841,427,108,519,168,904,477,292,714,605,223,950,877,964,066,542,212,
728,820,253,745,898,860,393,525,475,083,075,290,968,340,725,837,326,908,421,
447,431,966,849,948,841,460,051,279,484,544,921,509,919,469,236,504,174,250,
715,615,223,933,262,405,450,937,437,767,094,153,020,317,100,269,065,539,221,
781,728,478,424,984,185,624,372,339,863,719,455,862,397,330,019,261,404,945,
560,865,752,295,638,168,481,130,844,217,245,939,235,975,850,071,963,342,669,
401,089,221,509,323,919,803,886,956,344,214,928,980,824,264,853,950,811,132,
811,446,866,446,051,501,243,160,689,623,534,348,005,375,906,427,988,521,380,
230,102,763,193,872,388,002,856,561,510,034,187,785,225,139,159,167,164,688,
493,793,496,030,132,086,932,474,641,228,453,763,392,440,388,732,753,346,121,
418,050,803,640,440,122,620,521,418,787,208,771,770,975,514,986,654,151,049,
781,146,301,208,841,638,703,229,524,888,799,879,822,135,607,348,882,681,064,
662,980,834,653,237,496,175,018,423,631,285,039,794,135,101,348,291,225,341,
138,378,480,165,304,416,054,680,158,327,449,630,216,844,412,827,992,209,247,
125,542,184,935,395,671,470,747,024,566,382,649,822,634,484,041,294,370,061,
432,104,532,467,765,162,409,275,274,617,939,143,346,578,125,288,775,490,474,
756,468,884,041,698,233,604,200,665,584,302,954,230,130,205,246,462,465,167,
701,148,453,899,039,125,986,383,256,488,910,136,635,044,660,226,735,163,429,
036,437,193,954,471,286,687,523,169,177,623,615,944,808,451,096,896,485,853,
833,254,374,348,097,978,747,405,399,433,695,353,162,729,226,233,336,839,691,
456,586,297,259,565,885,621,211,469,695,923,358,583,087,223,140,689,804,516,
293,757,157,670,574,281,647,548,367,439,030,207,976,642,703,326,846,406,407,
622,130,210,984,583,432,835,819,808,776,416,779,799,122,778,892,974,140,223,
500,643,577,412,507,837,814,811,889,458,375,920,508,584,881,696,241,858,934,
793,082,690,904,967,024,790,849,284,720,094,144,271,592,744,730,920,112,971,
920,094,745,687,606,901,772,299,944,543,974,553,464,580,142,322,653,251,204,
150,605,457,578,854,140,884,593,055,232,724,819,559,185,658,155,695,696,383,
916,029,889,797,793,239,340,509,458,923,834,958,244,456,004,973,846,606,483,
773,012,952,600,979,530,570,907,188,243,796,018,171,781,340,941,595,294,439,
105,000,864,497,017,371,620,801,827,440,523,182,665,001,782,295,219,718,647,
666,087,268,217,779,987,736,552,943,211,061,151,875,794,646,970,261,355,985,
656,703,444,782,829,084,671,822,594,856,746,363,445,428,520,265,321,846,154,
079,701,990,900,686,836,465,944,857,118,010,254,315,008,644,191,809,923,241,
091,208,007,993,903,578,536,933,497,114,299,151,644,190,718,794,107,159,554,
260,328,629,821,981,936,545,899,646,583,314,845,528,978,949,324,449,529,724,
822,522,268,979,370,340,847,452,337,231,030,475,496,499,658,232,158,451,597,
492,995,988,641,609,869,203,018,861,914,453,146,349,678,812,158,849,462,569,
854,628,728,396,676,159,930,008,515,897,038,369,931,221,701,809,837,866,051,
379,474,999,415,510,872,499,703,845,300,848,737,506,051,374,882,885,452,911,
591,106,258,125,705,602,319,804,784,897,260,264,881,001,253,244,256,647,266,
638,388,840,200,887,404,913,626,285,882,409,862,307,725,418,601,976,787,022,
432,336,285,557,036,751,853,980,598,717,769,281,435,515,868,525,228,250,503,
137,096,867,915,406,820,374,081,282,926,016,590,607,930,206,257,252,402,676,
037,819,068,300,503,725,885,691,275,724,932,852,946,192,276,978,940,416,297,
226,712,525,775,472,498,686,593,837,151,885,343,181,266,687,754,030,260,100,
324,802,627,662,719,059,084,636,442,531,771,249,307,620,358,239,078,612,084,
636,661,170,809,440,824,330,142,895,800,980,840,093,572,289,752,850,216,679,
005,465,866,419,778,707,643,608,463,253,640,768,376,820,991,378,268,618,561,
793,441,592,125,311,834,097,046,508,894,738,231,541,361,428,399,189,069,734,
293,394,064,320,542,790,866,925,794,086,943,104,503,399,420,577,847,950,018,
139,683,546,133,707,775,426,368,254,946,165,172,738,864,136,123,883,067,592,
018,863,884,292,024,715,213,967,384,334,090,763,123,167,777,345,740,999,020,
651,016,969,800,612,110,321,447,859,962,377,699,076,172,149,136,595,213,684,
536,241,441,672,541,346,086,600,375,633,164,470,740,115,167,283,244,947,072,
662,933,493,212,285,320,370,476,987,785,261,416,304,170,794,206,761,493,574,
241,417,498,066,861,078,963,419,235,619,018,478,284,150,771,299,160,046,603,
592,464,125,595,496,098,863,423,564,503,558,593,817,785,869,706,753,286,175,
501,162,320,562,379,931,836,539,768,712,553,655,118,213,501,464,224,221,130,
088,393,613,782,257,036,070,122,969,399,785,712,442,024,684,968,912,255,354,
912,123,676,682,675,363,070,694,306,422,579,824,689,081,402,460,268,704,504,
013,175,966,366,294,588,730,629,426,444,062,453,568,538,906,346,302,843,024,
158,421,471,796,073,406,397,996,091,812,909,924,575,103,425,825,359,654,170,
640,040,231,790,185,737,489,752,842,892,191,566,343,527,587,091,399,444,871,
405,947,316,744,524,616,754,488,335,644,521,025,133,669,398,993,018,092,583,
528,182,763,440,990,037,729,072,686,578,384,920,634,688,921,732,986,214,467,
176,481,239,145,044,085,519,352,455,514,012,934,240,142,858,394,569,083,780,
472,308,224,652,034,583,983,599,241,091,668,326,032,640,074,289,004,184,584,
989,348,148,698,931,813,434,607,016,766,303,091,906,489,556,454,582,461,144,
248,057,886,421,796,950,858,404,778,981,912,935,068,782,631,914,822,778,466,
388,038,065,109,076,948,328,881,230,444,791,263,091,707,862,051,295,634,139,
490,773,142,851,504,728,428,352,380,540,282,761,006,562,898,547,771,875,549,
951,564,713,644,307,825,175,974,264,176,266,796,460,590,866,135,400,418,227,
205,159,329,496,134,180,029,736,985,360,124,567,500,966,774,348,207,282,486,
063,425,513,240,314,479,948,692,017,416,808,178,240,224,810,300,318,941,924,
291,050,437,324,230,655,515,679,172,502,422,116,319,037,646,133,176,713,919,
853,665,753,738,391,629,335,174,211,637,848,233,293,534,749,946,902,690,292,
869,880,374,447,241,517,888,134,784,651,097,751,011,973,137,313,102,205,717,
658,235,055,851,981,177,426,635,232,232,835,353,881,790,027,672,445,383,852,
728,331,849,517,075,494,537,039,292,165,842,668,807,359,882,326,826,536,672,
057,353,868,050,799,137,872,585,823,101,079,183,862,107,530,780,020,362,031,
561,530,319,869,399,219,573,109,573,599,639,781,247,215,857,279,926,666,791,
074,643,744,951,560,101,491,349,551,796,166,164,513,902,862,934,672,704,095,
570,970,317,674,821,856,593,508,299,662,277,838,903,402,228,204,625,836,453,
191,529,305,903,716,645,067,993,822,497,348,998,479,849,876,324,659,979,237,
870,413,844,789,986,452,509,035,173,360,931,514,938,952,895,358,939,942,154,
610,119,542,436,149,865,789,864,118,945,044,974,321,183,444,225,125,128,130,
059,912,029,336,391,966,578,065,055,417,645,847,832,494,429,512,138,123,870,
082,192,998,516,693,098,087,457,128,393,574,027,671,927,256,957,661,244,525,
476,098,291,694,209,765,610,871,444,866,648,314,911,040,264,420,896,438,543,
729,633,170,668,632,153,767,515,287,904,423,824,702,008,393,922,344,164,583,
820,345,067,203,416,410,615,780,382,820,264,122,484,570,043,393,768,250,120,
896,356,848,113,816,358,332,242,792,498,111,914,784,982,223,139,770,032,749,
304,117,121,527,959,151,197,420,891,744,656,682,655,095,529,186,276,734,368,
495,189,645,514,676,722,739,337,197,576,021,557,269,196,130,531,895,085,268,
829,732,150,923,807,012,511,862,770,981,422,157,292,115,795,187,107,050,871,
669,806,226,234,109,099,264,785,585,658,849,592,262,063,009,906,526,735,953,
686,565,023,496,447,190,702,007,022,964,873,766,047,546,741,576,554,816,879,
763,234,794,820,631,231,240,296,382,250,464,980,483,999,017,995,292,728,603,
309,927,062,771,978,430,082,392,535,267,401,032,640,682,325,306,725,719,972,
958,544,100,314,209,661,603,983,493,161,727,121,403,727,059,132,395,502,171,
457,258,996,689,077,273,568,376,225,550,316,078,605,466,412,694,496,457,406,
508,560,050,569,032,266,970,713,569,198,937,067,454,937,355,791,909,983,943,
082,008,610,566,050,475,236,729,323,866,451,811,900,751,651,916,542,299,724,
051,042,779,482,674,686,915,380,031,309,524,976,118,926,715,000,335,462,311,
868,200,990,592,193,931,809,856,337,702,895,524,869,406,706,613,124,977,279,
283,749,716,215,540,201,288,033,100,388,051,463,065,580,484,490,431,607,226,
681,504,667,211,080,798,969,941,785,274,316,972,896,102,549,831,565,673,140,
450,971,557,493,298,894,269,828,177,507,133,955,463,472,379,929,426,322,931,
149,704,345,425,931,532,787,497,635,819,381,996,784,983,326,696,712,291,119,
048,204,247,552,486,555,525,114,013,143,451,237,787,677,726,889,606,121,584,
403,611,275,186,919,059,838,929,594,300,929,373,230,941,504,902,841,628,633,
896,223,347,756,061,505,355,921,457,918,660,430,611,746,018,767,634,049,783,
741,175,168,896,396,122,711,263,686,775,159,945,262,760,211,939,857,598,748,
351,004,629,350,634,193,726,291,820,779,982,718,058,435,159,078,571,575,054,
395,013,507,602,804,741,131,786,753,049,258,066,357,430,024,416,521,490,332,
130,661,874,256,993,183,133,038,588,209,502,698,962,633,886,057,324,364,485,
780,347,026,336,839,490,282,845,487,264,532,987,671,058,429,543,226,119,756,
557,029,149,269,827,660,144,038,104,488,132,454,514,332,524,091,667,099,879,
827,357,628,543,860,923,766,756,652,999,207,106,968,438,037,555,154,409,130,
469,173,457,792,089,831,517,401,324,678,301,607,211,658,666,033,978,733,553,
112,632,117,175,886,514,896,999,498,458,028,310,918,764,672,743,296,941,623,
743,767,051,217,731,403,844,072,238,706,052,571,170,091,229,494,675,127,289,
641,864,868,546,634,867,222,775,604,814,244,322,038,128,997,020,471,147,255,
929,871,471,979,444,805,125,251,852,485,593,173,832,466,905,549,684,925,770,
265,328,918,050,938,224,531,041,195,705,668,644,048,740,971,624,845,546,986,
747,919,037,935,268,844,515,386,616,438,404,578,554,808,740,919,342,591,899,
110,122,750,778,325,017,698,686,564,888,993,901,046,804,292,282,754,039,777,
919,237,153,609,323,619,302,285,691,690,654,805,622,234,643,667,144,551,323,
231,416,470,865,863,713,425,372,725,543,386,608,856,460,611,104,086,707,456,
975,124,985,779,774,349,409,729,623,685,070,156,167,876,454,613,426,917,062,
902,358,139,796,661,390,115,253,525,936,902,055,798,469,512,830,557,675,418,
385,689,843,933,451,645,918,673,761,302,820,868,960,732,478,040,364,675,697,
180,384,435,851,888,198,924,284,127,139,855,005,937,446,080,688,006,792,674,
865,339,210,175,787,944,472,132,885,318,106,963,072,584,253,806,384,687,332,
849,508,722,459,429,021,743,543,289,381,062,075,478,717,822,680,542,672,864,
638,720,175,017,530,326,719,503,925,542,096,325,512,283,309,016,027,479,856,
622,654,755,780,674,609,036,307,282,734,613,006,754,413,209,969,580,232,280,
595,337,634,018,173,110,989,282,013,224,790,789,311,777,232,821,617,330,371,
386,988,111,956,011,350,731,615,824,082,859,935,583,191,637,691,118,187,709,
314,726,368,277,696,770,045,759,588,562,868,517,361,142,319,255,370,932,293,
164,123,486,005,228,647,116,348,894,711,194,492,229,450,484,087,612,126,449,
735,899,216,596,301,762,310,069,959,548,739,371,453,428,868,770,740,010,252,
023,677,821,814,790,940,846,290,233,805,582,956,364,346,342,300,517,420,677,
562,043,078,408,607,112,778,621,148,223,013,814,614,174,467,649,573,314,837,
489,183,431,554,442,924,206,303,393,853,524,400,946,957,028,157,597,857,701,
129,622,037,011,856,671,255,078,146,133,335,663,244,095,365,192,210,491,323,
220,176,746,060,339,738,798,852,168,010,580,290,532,936,730,818,568,080,719,
601,357,668,023,730,203,472,462,935,490,785,080,109,085,513,639,618,341,772,
857,833,590,527,241,598,244,811,494,988,578,543,240,397,316,353,341,670,286,
617,804,741,342,257,930,802,210,221,961,684,351,031,317,806,836,322,118,096,
748,101,914,089,882,904,189,050,775,386,131,334,039,650,463,746,290,902,363,
853,707,149,998,043,380,761,522,246,263,297,652,736,661,298,824,541,932,525,
306,102,657,480,578,949,284,450,471,489,615,279,280,933,826,298,331,360,635,
825,506,255,655,347,592,144,686,529,312,515,103,063,543,503,372,771,309,153,
530,367,087,434,633,621,734,173,155,488,653,732,238,762,546,644,270,900,835,
565,652,199,717,133,150,763,799,062,625,653,625,784,012,657,234,362,877,511,
542,192,533,848,970,318,222,293,913,140,442,044,940,640,162,099,047,667,495,
319,935,753,448,531,257,109,329,491,602,913,708,851,076,659,606,727,653,511,
423,308,090,950,019,117,195,948,521,545,038,601,510,061,972,665,372,840,710,
946,568,475,409,010,808,618,735,570,409,149,742,280,135,935,287,980,490,686,
093,289,818,701,776,868,164,664,625,648,444,329,097,700,057,148,587,858,881,
352,117,057,772,317,912,931,558,631,516,037,704,638,044,744,982,744,767,268,
505,443,905,841,021,925,341,816,838,367,712,264,771,979,074,042,195,051,263,
950,291,846,357,540,562,897,783,170,035,765,516,066,454,017,229,917,191,143,
023,934,987,822,419,830,394,784,605,865,341,464,450,722,339,180,304,891,141,
117,013,337,735,136,328,105,034,081,657,335,738,883,183,966,345,461,752,180,
782,742,694,438,310,325,130,010,742,783,803,141,814,364,505,645,759,397,622,
631,256,730,749,041,103,099,241,897,130,595,604,612,189,459,460,201,799,999,
714,596,063,429,139,934,859,772,562,248,369,758,326,670,300,515,015,710,022,
489,526,263,252,915,882,653,095,587,093,561,845,705,121,225,160,879,336,204,
119,379,565,787,662,501,085,656,188,500,360,819,904,208,863,433,368,565,953,
828,016,608,491,115,363,330,175,271,360,260,993,401,206,149,599,969,286,645,
406,753,411,677,035,306,614,478,743,857,880,158,780,028,874,456,468,990,799,
467,960,165,194,109,365,934,449,040,901,078,278,456,940,631,751,344,437,661,
421,934,305,111,171,052,438,383,277,112,343,058,544,625,238,622,751,851,843,
650,756,704,384,441,937,373,406,673,266,812,418,125,009,391,051,459,872,194,
401,047,973,334,706,956,988,882,862,257,201,332,708,413,676,195,155,373,111,
975,190,411,280,044,486,652,146,581,335,489,145,257,432,158,847,534,321,420,
733,666,278,188,487,062,434,159,810,245,650,300,652,027,967,709,002,156,638,
968,156,610,316,999,031,765,708,085,500,617,703,437,325,959,733,650,726,492,
531,974,779,077,550,299,342,850,167,561,835,150,028,192,409,156,242,458,034,
378,722,285,330,183,557,857,784,625,781,071,860,597,240,242,904,808,460,960,
975,901,378,881,140,792,905,158,945,972,870,762,351,128,527,027,808,874,242,
594,874,051,908,202,483,954,409,952,992,651,870,845,274,393,696,589,776,931,
279,382,952,676,136,122,135,002,283,239,839,992,478,214,081,708,998,156,567,
279,361,136,530,926,393,357,836,696,795,500,909,136,815,797,374,210,372,078,
303,795,600,216,135,389,719,810,958,135,238,503,148,762,220,321,109,094,653,
379,356,265,256,879,978,966,563,762,860,382,162,153,932,775,755,590,042,427,
932,628,066,753,217,446,654,143,201,824,826,912,902,327,364,676,148,015,556,
471,879,398,015,958,587,433,693,120,782,586,912,338,056,576,161,738,868,992,
468,900,287,382,413,307,172,319,001,188,409,650,333,771,503,072,451,461,648,
766,744,772,478,615,072,789,688,232,528,356,708,406,108,088,409,433,201,997,
659,653,863,316,436,066,976,585,706,843,039,988,378,655,100,873,127,879,638,
731,766,330,070,641,322,459,368,632,817,956,201,023,855,691,293,584,828,226,
374,915,624,026,791,369,632,996,156,331,757,495,545,099,699,710,617,504,119,
300,097,011,049,283,844,476,698,806,276,030,663,430,147,396,753,313,174,826,
395,360,296,251,835,708,656,216,410,159,808,766,341,629,798,208,227,172,779,
978,286,513,418,794,144,940,948,468,638,767,461,728,918,823,716,870,242,193,
520,017,315,051,968,362,402,932,818,797,861,492,198,883,592,595,915,784,019,
748,531,162,209,499,489,899,562,566,244,442,720,072,409,614,870,553,381,781,
195,162,937,051,039,161,590,438,838,337,088,352,324,527,424,747,176,804,286,
984,086,655,609,949,184,345,417,641,924,917,520,490,244,264,693,942,194,113,
332,232,910,078,107,614,469,033,604,628,998,188,452,780,712,568,004,061,358,
028,675,466,588,299,589,183,992,370,638,486,276,022,169,854,678,741,877,675,
831,631,263,564,465,639,926,250,922,926,957,751,575,712,422,028,250,080,710,
504,674,361,044,123,287,099,835,710,366,131,572,995,999,915,666,937,425,680,
808,405,464,372,372,995,966,353,892,578,722,959,320,632,494,506,589,288,772,
005,381,480,697,943,273,908,503,079,846,507,205,994,175,483,959,582,293,478,
030,514,983,923,410,797,656,814,507,717,280,687,757,613,706,510,911,439,135,
518,443,243,975,487,261,959,818,816,450,657,789,809,894,518,088,373,111,683,
897,095,919,672,722,274,335,180,992,844,401,900,504,649,639,491,403,755,574,
747,498,715,549,542,771,776,107,060,344,293,421,821,365,016,893,408,322,364,
177,362,359,667,688,634,695,771,655,389,931,765,121,299,446,859,246,990,796,
568,840,821,961,126,841,453,283,588,000,222,327,755,057,375,332,192,455,850,
110,653,324,351,475,549,965,528,059,931,174,385,743,989,415,899,649,319,434,
194,942,526,703,059,506,308,289,258,442,183,206,446,872,658,821,103,741,234,
493,227,471,763,883,776,166,431,612,845,561,994,026,156,727,374,082,327,548,
667,346,873,988,134,376,652,054,217,956,967,617,008,230,298,750,796,962,375,
358,810,540,219,461,350,460,725,889,912,765,594,638,586,584,121,893,855,400,
058,050,725,649,593,262,775,675,587,221,428,337,233,108,798,279,804,664,387,
595,630,422,197,772,730,000,453,799,885,163,769,735,073,532,333,583,035,400,
034,199,475,117,957,135,469,217,975,684,165,892,602,542,184,779,076,552,661,
205,204,937,478,877,052,062,918,611,498,318,795,534,174,437,391,373,680,885,
054,976,682,345,573,482,465,650,060,447,953,701,656,341,202,481,138,137,399,
873,848,454,601,097,127,550,522,620,596,529,775,389,094,356,074,222,303,949,
827,529,883,981,231,688,052,953,693,188,648,067,904,522,324,955,129,145,093,
886,330,218,450,460,171,641,826,552,737,298,072,305,056,331,193,725,152,583,
490,652,158,223,860,078,645,206,271,033,150,515,456,857,346,613,433,551,659,
302,456,654,746,942,047,587,542,674,021,526,590,920,978,397,820,145,566,779,
681,244,983,968,808,619,822,849,313,404,085,823,200,635,077,600,766,756,485,
669,896,676,296,281,766,797,548,616,300,899,647,430,387,312,204,215,906,676,
881,460,024,468,577,599,584,782,060,939,278,932,766,240,306,488,026,486,138,
558,327,378,557,592,323,955,921,814,960,239,169,396,543,280,992,179,517,118,
471,771,149,270,911,990,519,140,643,713,119,393,108,049,518,659,679,409,725,
866,797,860,101,817,062,310,194,444,507,453,458,361,643,599,773,927,248,417,
125,841,057,590,850,393,650,235,346,071,896,522,058,589,958,047,142,195,482,
771,288,719,088,725,089,128,178,692,997,692,715,940,647,061,605,599,078,291,
717,211,037,647,698,132,934,778,477,011,443,563,067,987,022,312,181,833,201,
765,159,261,130,578,403,309,374,714,921,320,581,523,291,452,008,871,890,679,
798,043,505,167,207,454,574,314,626,184,188,703,301,465,582,301,397,411,232,
980,173,319,458,106,550,204,875,633,991,937,647,062,204,126,371,364,763,175,
495,502,634,610,811,276,217,036,855,654,943,439,066,148,921,019,451,845,907,
749,727,773,008,064,613,469,474,184,235,040,347,078,892,180,239,588,339,702,
710,584,136,420,518,602,073,040,678,339,167,595,493,624,899,317,723,047,509,
072,791,950,806,790,884,505,732,465,954,108,041,737,938,667,801,177,262,839,
755,427,956,772,416,367,453,671,874,197,729,600,752,111,323,581,885,913,093,
413,070,837,554,192,409,200,571,318,637,297,935,843,891,790,780,170,080,206,
645,588,659,397,885,384,734,381,722,767,009,316,429,779,583,929,689,647,968,
938,435,515,139,221,617,718,254,218,804,931,077,547,105,392,519,752,240,118,
147,184,015,415,006,041,052,279,020,544,267,665,418,429,456,201,728,518,781,
384,686,901,530,418,549,976,683,057,833,956,875,576,292,247,020,259,880,887,
485,906,312,126,698,608,200,831,425,397,126,627,734,942,450,695,469,232,139,
868,718,944,216,479,768,331,152,855,338,282,934,567,599,010,684,289,076,457,
462,841,598,985,261,565,857,018,739,256,070,031,438,523,798,668,357,818,440,
294,645,136,947,352,561,451,565,217,099,299,595,322,146,826,369,722,264,961,
100,660,779,714,201,846,190,141,319,254,027,980,456,342,904,834,451,220,101,
075,228,486,535,163,666,572,153,895,277,845,654,169,792,657,399,121,500,512,
446,821,230,394,812,981,102,065,151,118,466,016,139,296,298,062,427,383,110,
416,336,510,178,840,044,563,928,084,779,702,835,229,623,040,885,326,619,275,
464,337,596,234,284,891,838,676,554,562,776,355,691,789,469,669,682,791,801,
627,561,290,184,900,282,815,679,598,613,099,845,359,686,596,797,166,484,926,
131,318,139,551,525,126,205,507,329,817,312,065,630,437,353,637,893,888,984,
223,686,408,792,692,450,182,212,207,579,774,097,552,241,492,155,276,783,345,
774,531,003,817,397,000,056,117,266,773,671,984,617,188,177,788,171,061,833,
254,941,470,677,082,532,663,520,406,942,345,098,674,758,288,234,351,759,271,
733,912,568,223,858,078,168,562,915,745,324,594,331,422,419,480,709,826,787,
877,678,948,148,444,431,954,521,355,750,041,644,941,629,478,982,802,869,706,
020,174,182,837,718,441,654,908,631,230,606,678,220,981,944,067,507,816,538,
045,079,070,441,997,936,161,549,873,088,648,789,442,266,522,261,208,634,862,
875,003,710,042,155,603,130,764,926,289,876,884,146,413,796,975,316,670,057,
000,704,390,351,421,764,483,523,379,124,457,015,292,746,854,364,011,922,692,
600,554,725,383,920,314,698,506,770,759,456,079,118,472,611,190,760,754,102,
354,751,675,110,608,415,007,465,404,118,430,764,551,677,657,367,282,779,882,
072,121,884,830,225,635,703,067,692,046,253,976,454,705,463,755,565,428,582,
153,421,234,130,383,206,674,984,083,714,746,408,783,815,483,702,575,581,008,
891,404,900,060,350,887,438,612,938,324,682,924,070,341,307,318,285,920,446,
774,539,457,886,833,468,834,695,192,325,151,088,048,040,153,888,099,608,004,
696,550,553,031,382,588,030,287,490,330,128,212,271,688,459,495,736,725,669,
897,859,390,376,090,204,126,438,739,510,832,775,016,494,429,194,062,861,403,
870,843,231,281,004,652,416,718,765,261,162,024,546,547,126,778,144,455,943,
557,834,000,443,161,549,302,634,683,400,159,849,163,118,468,695,036,425,451,
714,166,707,331,422,309,280,032,430,946,650,835,686,155,488,889,657,607,206,
982,705,831,808,457,434,177,615,026,041,485,824,184,229,729,330,674,415,130,
588,738,225,914,605,594,310,165,266,571,874,043,818,068,061,537,881,746,068,
202,623,312,778,643,508,712,288,227,667,007,940,972,358,630,938,127,829,582,
596,748,475,001,649,097,137,069,819,276,752,418,253,805,851,540,108,479,493,
828,826,817,041,504,405,886,011,224,167,418,615,100,057,021,916,131,466,295,
931,420,830,661,124,561,772,926,973,181,774,700,667,247,171,817,420,134,409,
017,007,642,360,212,743,748,357,876,180,094,811,546,440,224,408,602,980,188,
550,540,512,444,231,494,894,440,424,033,756,034,251,418,513,965,646,021,459,
294,175,923,503,212,975,242,652,307,728,796,050,593,222,905,368,995,107,739,
309,881,600,711,541,336,424,910,711,535,842,526,982,071,647,250,081,506,773,
252,848,290,853,124,403,962,331,523,680,765,728,704,024,274,902,429,333,900,
141,732,117,773,495,287,722,258,372,393,012,036,112,705,212,109,572,199,450,
084,424,941,443,077,355,558,185,367,442,384,850,982,927,083,532,516,310,310,
733,876,153,293,960,602,151,883,073,925,568,698,841,675,918,642,715,558,931,
983,190,716,885,556,938,304,749,896,590,291,721,664,559,264,500,303,678,706,
823,756,467,189,226,756,439,800,559,226,584,669,346,810,553,886,596,403,577,
737,371,621,917,291,979,573,013,986,311,785,224,970,664,137,824,490,033,109,
148,927,287,826,224,436,289,737,218,883,712,301,149,894,604,607,713,162,960,
053,505,737,058,264,874,882,471,975,616,232,707,240,353,366,357,239,733,832,
361,370,436,024,819,146,046,388,653,312,909,260,085,529,876,646,047,866,080,
548,758,344,009,897,349,873,423,856,428,634,690,317,644,744,460,653,400,144,
792,397,612,219,124,688,428,808,849,591,075,581,721,230,051,961,679,933,075,
235,037,739,979,429,468,473,449,883,527,670,924,160,638,687,115,303,260,853,
946,930,990,474,215,672,250,655,924,541,242,921,308,492,466,540,340,039,224,
372,479,482,148,105,765,173,102,440,430,607,847,704,011,450,136,858,511,868,
003,116,384,558,693,676,949,872,928,686,587,787,145,061,674,413,985,102,968,
539,894,223,601,525,418,162,750,145,488,145,662,309,244,130,883,102,253,726,
839,761,994,954,706,321,318,176,269,464,707,435,744,056,185,969,651,600,986,
532,883,085,517,573,286,829,967,154,732,356,390,089,188,838,659,284,388,285,
214,289,803,187,207,700,377,529,583,995,493,051,145,067,349,925,281,516,934,
269,762,611,005,197,485,496,956,593,170,254,354,216,618,585,093,275,299,652,
827,455,653,238,413,567,854,742,258,146,408,494,328,447,570,811,057,932,637,
093,799,830,498,667,266,582,867,750,252,308,594,241,944,787,259,724,686,676,
286,938,726,963,692,550,099,633,910,295,102,357,378,329,295,843,696,878,001,
867,210,016,960,393,549,984,338,610,074,533,517,733,879,074,125,428,234,561,
425,539,475,584,891,751,554,005,683,378,296,340,530,833,701,724,123,428,039,
507,568,800,147,805,011,737,868,626,350,224,393,970,310,158,861,300,608,507,
327,613,875,659,247,520,219,483,586,319,780,620,370,059,958,151,437,183,005,
369,020,330,683,748,202,776,420,204,385,473,130,808,773,801,369,587,949,336,
215,129,193,657,796,513,844,940,328,622,663,502,384,246,753,285,951,373,258,
907,786,998,043,650,854,857,122,129,307,092,896,264,863,880,252,796,010,286,
995,431,489,177,862,205,603,623,886,662,608,167,501,490,363,585,979,843,875,
034,045,787,055,178,845,979,252,601,898,423,765,420,144,597,051,269,297,429,
472,728,628,136,575,530,759,898,775,374,229,554,516,858,089,266,383,437,065,
253,395,191,194,768,826,386,769,278,874,348,885,158,786,252,473,615,950,976,
650,446,563,409,853,009,825,027,856,746,058,533,413,208,247,421,352,811,597,
809,694,564,232,122,865,765,822,886,063,404,517,223,712,828,027,912,884,853,
818,081,021,397,718,742,149,322,667,921,381,264,230,912,409,482,326,589,146,
800,906,532,649,011,569,341,160,054,710,886,004,729,731,204,159,238,853,867,
549,481,358,285,583,965,912,963,450,966,206,890,856,904,121,986,224,128,766,
451,182,920,602,194,427,268,220,709,097,745,811,679,540,244,566,506,511,749,
624,794,506,325,409,165,454,981,083,921,462,225,036,301,016,616,372,064,112,
041,722,161,113,608,272,991,069,468,235,264,425,703,201,571,766,171,717,056,
850,666,512,047,979,828,817,508,304,419,623,965,008,150,706,031,389,659,812,
861,450,809,679,441,108,614,049,797,493,222,594,362,516,629,295,007,835,038,
536,908,438,906,319,772,511,431,237,843,883,351,711,155,175,386,413,111,226,
242,391,430,764,459,156,836,804,886,978,244,420,582,805,340,245,661,099,285,
864,999,571,438,849,268,991,645,695,739,577,297,797,718,650,553,484,441,683,
091,939,806,816,148,947,305,098,516,919,791,450,688,077,750,220,894,154,464,
953,750,108,999,834,436,684,760,369,652,560,653,217,963,594,539,108,992,093,
014,478,506,287,021,965,053,238,609,871,074,549,850,063,420,284,225,372,755,
515,935,623,714,765,126,047,696,459,927,571,166,463,935,110,216,873,860,321,
257,965,709,810,136,454,969,091,456,108,123,051,228,262,823,135,724,554,733,
428,281,405,952,359,876,081,190,274,286,217,645,954,628,102,466,802,959,603,
072,554,492,782,147,295,205,509,617,314,676,834,787,867,596,280,085,025,687,
755,984,540,869,388,227,805,097,206,793,004,579,916,758,299,108,289,692,948,
224,648,230,432,534,088,989,655,162,291,448,880,789,469,741,841,737,201,148,
088,549,110,567,024,401,119,749,501,833,821,315,613,753,596,551,412,238,936,
758,635,740,303,340,175,339,277,723,627,365,787,584,098,049,556,060,319,998,
157,518,919,728,025,586,376,170,340,568,516,387,445,489,415,365,621,485,821,
417,558,270,386,611,867,956,229,072,091,118,253,632,544,332,677,128,812,429,
857,257,549,145,974,711,132,871,578,183,139,454,320,926,889,583,017,759,733,
099,494,260,485,338,985,163,580,593,318,689,286,788,881,720,835,910,256,901,
708,081,888,109,364,070,788,864,597,030,920,018,256,175,525,404,724,213,017,
906,294,689,938,036,152,861,781,781,545,071,653,133,886,728,808,451,187,050,
548,139,215,552,435,497,307,784,141,599,639,980,555,571,298,475,035,912,143,
446,819,187,361,580,962,093,659,938,272,982,070,262,603,815,107,358,938,124,
540,302,484,886,001,429,277,219,292,081,212,947,568,469,832,705,037,454,831,
319,424,256,202,893,607,895,109,726,223,441,541,148,992,628,363,737,778,101,
581,433,139,442,903,596,811,242,666,090,273,905,469,949,289,340,160,290,757,
438,361,564,368,659,537,671,231,385,242,458,067,888,232,899,981,820,132,149,
733,707,357,205,360,055,537,363,722,076,539,284,048,226,190,581,976,415,591,
935,230,820,837,341,073,832,039,083,660,481,109,834,136,783,563,405,479,393,
461,681,232,664,642,614,263,043,335,715,448,323,490,024,888,154,354,545,328,
787,604,526,086,256,455,928,304,276,263,565,202,119,605,618,701,986,269,407,
219,843,706,484,107,073,797,881,378,321,236,221,622,139,356,462,261,275,599,
141,766,637,042,771,222,454,181,655,984,180,233,205,952,751,036,235,600,580,
438,968,130,454,479,432,143,719,868,496,460,950,732,418,076,348,286,840,707,
617,141,411,415,365,357,589,077,178,833,286,440,161,204,701,242,622,030,010,
718,804,508,584,666,410,662,053,142,851,700,522,944,328,117,683,482,789,987,
628,522,635,061,470,041,626,535,949,559,487,104,443,101,154,649,594,075,608,
974,565,658,572,284,408,269,638,671,292,723,694,795,111,169,981,459,054,824,
746,302,165,116,963,899,811,603,887,613,024,692,689,996,666,205,854,195,282,
415,561,202,243,462,889,575,825,253,587,610,264,377,044,174,587,529,309,985,
355,129,764,030,608,379,324,043,411,051,643,936,096,098,647,869,207,033,492,
179,242,074,746,955,318,422,604,000,830,934,846,849,307,037,140,288,593,591,
325,805,897,582,341,536,522,714,764,565,697,234,669,307,519,731,126,580,428,
769,591,448,728,513,844,048,823,082,576,601,210,434,070,347,721,636,970,782,
739,068,328,439,307,229,356,839,707,235,071,019,510,318,449,953,005,938,060,
474,145,169,849,425,966,800,577,502,058,445,658,961,165,755,836,005,857,853,
524,043,533,729,599,989,155,908,290,267,068,504,071,692,624,667,073,148,458,
852,402,195,656,137,153,753,609,551,710,434,855,353,537,235,959,866,437,136,
852,650,715,507,643,329,485,599,586,506,207,414,618,992,751,106,776,799,061,
541,204,449,473,266,651,204,544,888,560,311,634,104,954,618,742,057,513,420,
050,009,081,616,482,979,055,833,849,539,543,682,054,108,420,483,135,316,937,
527,599,908,531,895,965,375,217,388,746,500,707,849,345,041,529,788,391,708,
162,907,084,756,266,596,962,862,371,451,185,502,787,156,468,022,197,446,865,
829,827,969,141,178,869,606,157,091,185,547,790,324,680,527,145,618,580,315,
612,478,682,834,291,557,354,806,490,155,498,210,915,085,481,648,098,102,839,
897,789,909,614,283,720,923,641,682,263,695,978,042,765,535,301,912,962,687,
170,833,782,181,660,624,768,519,026,481,426,986,512,006,166,914,507,461,497,
304,597,838,323,426,148,868,479,848,094,281,824,910,075,471,488,220,046,684,
998,050,373,190,543,614,109,874,663,985,929,839,608,907,901,577,744,250,187,
000,421,503,463,828,369,360,041,020,925,661,674,298,768,859,599,625,626,354,
416,599,372,721,573,910,788,086,151,583,032,119,147,574,566,101,445,346,756,
893,967,833,083,942,381,483,738,898,528,678,467,475,220,223,329,234,954,533,
659,107,507,171,189,609,886,765,464,096,795,651,376,843,546,736,695,178,454,
929,847,142,194,409,019,320,843,296,790,884,815,277,763,804,770,777,136,935,
172,447,645,870,938,012,792,153,116,208,560,396,304,551,305,864,089,429,573,
576,112,991,074,832,629,214,497,284,820,382,631,279,686,375,530,705,445,819,
652,505,821,332,865,283,003,983,338,323,759,660,372,954,814,043,691,411,538,
780,343,542,014,051,015,793,371,705,683,226,286,526,949,259,475,080,591,712,
321,680,605,831,362,420,575,909,340,886,298,171,592,977,348,583,836,871,209,
131,945,135,569,064,588,188,257,630,167,640,523,487,922,548,473,083,559,952,
476,403,930,780,265,070,948,909,355,192,622,533,733,280,171,207,080,993,135,
068,422,402,393,890,390,319,371,904,602,498,714,980,573,506,107,082,358,274,
097,608,072,036,473,138,130,118,995,961,243,141,899,610,245,530,106,572,163,
442,371,547,962,428,732,056,669,229,560,666,592,619,701,873,133,244,652,226,
783,087,870,730,097,137,449,524,191,139,200,721,475,746,603,400,654,612,614,
685,383,346,894,280,987,288,315,670,362,214,519,032,173,518,130,989,725,011,
499,878,669,829,106,718,098,471,586,308,978,228,522,979,526,534,283,875,670,
423,878,472,096,357,897,546,202,078,994,019,516,978,565,870,272,638,620,266,
387,384,421,132,052,544,146,654,498,114,326,100,958,876,333,696,452,621,715,
072,983,181,283,709,084,436,555,293,740,016,726,435,123,124,659,469,806,212,
990,744,431,980,701,465,505,464,364,073,622,081,313,036,396,258,644,744,886,
407,032,314,593,157,685,367,670,088,645,477,197,513,053,984,994,120,976,780,
173,002,178,184,203,396,120,940,237,768,444,016,062,962,332,062,186,975,199,
044,830,763,228,478,299,550,585,596,019,719,880,043,158,687,702,606,106,721,
139,861,285,777,228,301,160,814,532,788,083,800,474,400,391,914,060,864,719,
020,743,727,567,887,006,853,333,295,168,642,088,516,745,410,199,507,733,128,
602,018,944,475,361,475,276,343,012,587,821,909,842,939,491,824,633,818,821,
972,275,103,973,576,674,318,475,625,797,566,038,805,965,880,621,644,001,820,
584,809,358,540,898,059,768,916,135,028,936,847,433,101,013,036,977,993,687,
270,958,482,795,327,292,274,397,358,612,346,923,762,041,112,553,151,307,403,
542,313,193,496,816,623,187,970,015,071,536,650,767,718,187,882,032,829,014,
100,709,454,972,056,212,177,391,884,981,725,468,826,728,906,869,027,696,612,
709,069,564,338,997,607,905,005,161,343,092,260,283,794,523,433,859,745,248,
863,551,004,330,511,768,005,298,107,667,062,792,256,599,936,473,613,786,352,
325,433,761,029,643,700,949,387,285,978,962,881,121,517,435,281,896,112,674,
594,817,535,808,253,571,843,004,888,740,887,016,142,458,922,894,642,895,255,
788,907,920,878,058,386,739,621,082,219,041,260,215,416,366,030,529,678,156,
900,796,963,363,048,088,307,207,037,629,877,791,255,327,932,430,766,512,380,
610,550,279,044,479,093,887,420,151,060,166,306,431,520,073,492,625,366,128,
778,422,933,209,352,816,336,572,505,672,998,045,417,658,084,282,678,624,983,
854,200,006,603,990,381,454,018,687,267,164,554,793,424,868,037,598,300,578,
265,407,486,334,087,561,788,872,027,601,799,570,596,187,032,976,696,440,640,
250,791,016,038,565,561,392,295,595,093,970,832,050,466,220,043,032,682,340,
972,618,301,972,071,396,166,484,686,892,720,551,456,935,095,422,196,814,084,
337,002,734,163,673,646,609,462,571,055,152,413,345,893,333,631,139,213,252,
486,686,106,917,769,945,645,805,758,639,517,005,567,438,425,582,267,139,881,
302,503,727,321,989,469,676,867,218,999,638,160,072,712,257,396,171,591,307,
413,113,964,912,925,902,549,293,450,541,800,686,818,294,336,948,907,192,269,
633,168,927,294,892,792,709,605,888,217,081,125,025,592,688,262,121,661,781,
545,318,809,456,272,427,185,018,812,559,846,659,774,076,895,004,034,820,960,
664,842,529,703,023,111,112,353,688,803,205,086,785,436,330,909,297,708,139,
092,055,969,619,219,148,457,758,023,186,018,171,151,161,105,300,183,039,838,
158,554,304,160,562,127,854,688,299,231,276,001,067,509,729,700,734,788,754,
265,675,365,016,796,540,299,108,947,156,991,460,954,333,208,224,229,905,653,
040,417,584,046,464,318,958,380,401,878,676,322,699,253,840,884,165,217,916,
128,459,595,555,478,127,397,232,659,100,566,914,435,642,237,339,907,271,794,
784,054,489,890,798,849,060,911,612,122,206,687,586,450,110,204,508,656,710,
128,142,086,455,511,300,235,631,340,561,126,372,402,789,525,239,309,144,504,
910,143,045,415,317,141,030,731,068,073,984,811,093,555,525,354,509,077,732,
016,557,593,838,932,863,062,167,725,870,454,513,858,156,134,585,981,379,066,
858,878,657,159,355,475,060,910,291,820,741,250,097,402,186,919,982,297,632,
909,744,680,727,225,462,358,689,317,240,113,239,676,158,587,242,638,084,603,
886,950,345,351,918,150,153,368,650,392,395,202,879,157,835,139,541,791,417,
777,468,598,882,231,081,180,530,742,706,361,094,795,545,867,553,183,875,261,
295,335,450,247,081,068,745,316,875,959,840,015,010,442,107,595,550,027,266,
340,866,661,253,770,379,656,630,837,369,288,829,585,600,386,844,384,911,538,
231,965,666,689,028,884,644,557,372,305,334,373,825,183,734,007,169,822,088,
397,463,596,073,130,839,857,713,802,388,412,588,673,995,153,814,893,205,108,
837,665,067,723,299,156,940,276,502,146,905,816,799,923,609,740,429,640,213,
471,141,772,512,145,066,683,555,916,825,352,872,380,584,620,630,933,909,011,
800,823,485,142,686,708,774,584,131,371,727,693,556,008,982,784,205,010,980,
696,722,403,520,096,342,862,477,771,091,666,929,891,766,083,254,950,048,631,
028,846,200,938,810,357,575,848,589,604,958,899,553,423,713,867,235,837,829,
950,831,851,335,806,705,575,851,559,787,995,818,834,345,527,330,636,601,594,
015,566,760,153,998,351,036,803,728,316,646,662,660,856,249,243,825,675,504,
821,633,571,618,366,975,181,733,758,096,923,517,392,259,985,501,051,451,039,
853,522,356,912,200,374,831,886,145,457,754,038,680,220,081,530,139,771,667,
594,314,653,587,448,665,526,830,702,567,795,178,796,256,957,198,157,398,961,
934,009,957,301,088,616,727,470,134,153,879,484,562,951,565,186,280,932,717,
003,839,964,920,375,943,904,063,731,051,215,810,644,766,911,514,146,825,694,
633,187,025,121,163,263,913,296,130,700,790,344,995,194,165,149,491,825,738,
862,044,566,650,495,717,366,661,835,081,942,946,112,500,159,196,032,675,713,
137,145,251,843,727,333,197,012,569,693,762,884,047,950,064,831,730,841,208,
181,191,131,803,678,039,388,745,105,661,755,269,372,200,782,711,981,364,504,
982,097,966,334,951,104,944,808,399,245,724,334,365,950,072,937,048,445,382,
136,752,261,385,585,352,114,282,424,040,594,305,114,103,049,144,237,315,089,
467,342,750,516,704,766,048,738,826,697,997,465,080,819,590,151,641,862,882,
592,290,927,435,864,242,656,334,545,460,413,276,031,966,106,572,041,853,428,
030,705,930,039,423,897,724,853,921,964,129,983,364,427,449,510,102,492,046,
318,118,927,888,268,239,934,290,325,760,656,287,353,544,901,430,709,079,164,
954,017,633,962,081,254,335,685,592,421,183,854,987,366,312,195,312,682,227,
839,946,900,019,194,188,541,780,982,658,194,333,269,465,531,946,768,938,725,
593,428,501,099,857,563,025,780,190,642,879,596,798,000,862,752,794,238,479,
125,791,872,099,318,315,882,143,859,883,778,587,975,381,073,417,835,623,082,
466,451,536,730,840,610,371,009,578,339,568,513,720,851,897,086,739,985,455,
205,577,162,194,842,481,175,994,465,366,554,177,599,166,370,265,565,070,815,
751,044,387,645,228,619,666,368,620,699,497,912,571,831,577,169,774,434,880,
341,699,103,211,870,250,799,196,202,020,120,195,801,569,901,340,995,632,365,
664,927,046,423,277,453,438,158,611,448,669,423,079,874,045,977,411,311,954,
976,021,203,172,778,946,716,713,444,997,423,487,063,676,718,496,969,975,136,
334,191,260,772,599,716,602,427,406,692,541,947,350,913,631,518,658,000,792,
407,970,656,007,280,980,985,409,952,167,582,095,727,096,352,509,505,514,816,
852,675,678,702,028,692,868,516,492,660,671,364,744,918,012,063,435,308,040,
009,967,992,293,425,823,536,410,131,023,825,202,140,060,853,182,196,145,101,
102,003,436,634,673,732,501,032,636,939,970,807,390,518,484,639,512,899,011,
852,285,525,686,265,074,917,403,279,776,171,122,022,452,920,662,593,493,817,
920,867,254,857,024,044,649,479,406,585,517,965,110,597,206,853,256,823,301,
463,615,691,182,171,269,914,534,363,597,180,268,079,133,890,562,134,706,665,
358,932,025,378,485,273,474,846,924,751,375,074,890,052,577,286,174,005,762,
712,610,117,215,391,767,039,887,207,627,725,284,507,183,747,355,622,953,720,
974,675,067,564,487,610,807,640,937,436,424,384,764,981,748,373,980,660,867,
552,973,475,188,661,249,024,123,690,477,956,853,880,576,589,687,607,740,416,
995,182,135,558,687,960,618,030,241,930,515,377,189,514,259,070,651,658,402,
227,144,781,782,659,172,288,358,283,993,156,773,181,617,065,663,074,351,395,
187,071,614,002,283,209,841,904,219,257,524,902,130,697,877,642,575,656,044,
155,489,516,537,311,971,406,487,105,328,785,813,156,220,445,081,780,521,095,
131,012,960,186,405,609,400,275,408,347,876,989,363,336,737,111,312,339,080,
528,636,412,266,923,098,520,821,538,831,582,659,224,238,920,580,330,616,085,
090,054,021,185,365,129,512,669,713,774,025,803,924,054,565,529,947,039,630,
714,093,912,325,864,631,293,611,753,893,985,041,186,009,484,223,954,658,150,
840,892,741,622,166,064,323,353,138,901,799,440,220,145,656,626,969,836,251,
420,400,841,379,307,664,703,100,503,749,886,585,050,625,446,207,935,252,304,
140,473,513,985,947,141,465,269,706,716,413,899,155,518,401,578,370,668,283,
879,283,852,884,463,328,818,735,920,256,668,886,080,165,147,893,559,463,160,
618,842,405,880,993,246,289,448,473,187,350,398,999,375,400,231,005,938,330,
542,033,661,496,500,396,563,671,270,769,496,422,475,029,562,810,185,489,095,
369,442,040,131,801,090,021,016,523,909,207,155,014,086,710,232,906,222,150,
941,885,676,422,529,980,343,930,201,748,660,778,852,082,362,769,257,862,249,
286,850,537,681,013,516,680,436,642,231,123,638,750,557,292,575,462,866,353,
903,915,206,212,059,315,498,072,214,818,217,783,684,076,171,590,390,982,573,
076,711,983,630,790,815,755,002,710,418,089,907,868,057,491,600,551,258,896,
439,190,888,353,254,423,062,566,184,708,568,138,823,009,001,910,676,385,470,
853,275,554,950,714,723,649,754,097,973,856,149,625,884,791,775,841,524,131,
485,834,088,704,005,850,294,830,154,091,395,360,505,574,241,043,460,677,256,
162,094,094,729,961,627,776,089,859,112,846,449,251,101,992,806,236,543,959,
205,295,012,318,835,435,071,323,076,005,682,797,097,957,151,461,133,076,051,
057,411,239,369,397,900,528,447,265,745,090,181,122,091,491,473,309,664,582,
670,293,696,422,271,356,170,738,978,766,328,909,128,516,706,552,476,886,045,
641,617,624,924,831,593,703,103,677,491,348,123,274,173,352,128,998,334,267,
974,832,870,484,782,039,209,762,521,430,920,976,946,599,044,289,115,929,770,
636,812,327,812,566,451,670,695,817,633,902,152,217,450,700,339,981,476,373,
223,366,610,884,891,564,919,528,059,307,576,335,872,696,956,259,282,587,321,
320,852,011,078,241,899,878,925,915,143,364,242,999,041,595,072,874,752,374,
701,403,298,623,556,622,433,163,115,052,232,298,478,485,407,682,897,547,609,
404,472,556,293,019,025,966,439,533,767,338,908,125,631,895,014,487,801,457,
024,264,283,617,082,868,872,749,367,881,582,612,677,334,571,809,839,319,783,
176,142,625,727,973,017,236,893,485,482,288,807,244,829,039,559,945,202,707,
319,824,680,200,027,449,103,780,858,068,589,803,069,191,567,922,642,357,586,
514,485,201,679,816,809,197,429,845,155,227,675,319,335,532,145,744,043,725,
215,420,064,461,107,316,036,052,149,170,108,352,124,216,152,286,361,263,644,
616,775,452,295,762,052,007,783,638,028,287,094,051,198,408,199,539,114,377,
447,948,472,691,042,703,405,252,155,731,044,041,731,047,849,605,271,259,229,
780,271,820,152,060,522,033,377,490,069,400,676,887,549,453,042,824,754,401,
850,613,480,206,880,820,521,556,075,728,441,901,703,397,833,690,098,921,019,
529,863,238,892,257,347,383,010,711,969,398,943,828,922,624,218,557,408,935,
916,592,895,178,585,464,786,438,113,520,140,938,667,761,578,141,287,961,695,
160,874,129,819,784,102,430,796,790,477,593,933,420,528,095,252,935,100,309,
789,118,635,687,207,097,985,617,611,366,192,571,423,925,271,527,060,989,341,
546,454,552,251,632,337,988,788,725,033,997,484,329,426,248,481,569,188,124,
613,856,846,904,058,249,572,328,455,266,447,183,618,326,386,483,295,259,548,
405,518,723,774,955,944,342,940,307,114,155,357,221,782,805,596,761,763,113,
490,179,992,100,466,947,377,729,194,689,573,941,139,050,077,628,003,341,605,
489,969,278,463,024,070,914,164,644,650,479,161,202,363,379,018,668,379,080,
215,383,489,922,202,138,146,462,834,092,901,519,171,327,998,404,580,717,137,
423,405,604,241,901,750,110,815,249,796,958,377,174,531,555,979,776,503,370,
005,998,094,746,654,455,306,844,451,665,524,920,311,868,168,883,783,953,522,
660,458,524,362,938,390,828,817,802,406,265,522,501,516,914,454,188,286,019,
626,701,188,945,392,811,017,571,961,609,586,163,740,945,015,663,165,607,888,
509,353,985,390,128,356,685,903,430,602,210,881,722,270,637,716,328,303,367,
936,505,927,796,041,910,867,394,489,946,300,475,089,938,271,426,821,821,270,
594,793,468,721,120,812,284,237,948,317,927,013,681,362,649,567,941,359,021,
968,997,329,439,844,464,123,771,541,860,838,014,580,683,011,182,471,426,438,
266,909,253,000,435,735,882,795,398,432,518,633,362,928,303,053,576,208,456,
093,099,717,054,802,074,392,414,745,228,374,274,507,962,531,728,353,501,684,
209,088,906,384,076,052,979,994,697,322,818,404,444,415,429,951,880,716,383,
534,442,260,265,069,482,867,852,241,881,402,046,865,269,668,288,443,832,239,
371,954,231,057,294,027,592,478,172,863,744,608,564,825,598,764,091,559,298,
164,090,313,984,786,373,761,009,619,183,133,365,092,239,172,361,623,673,897,
339,235,657,853,763,476,848,772,385,174,794,112,104,866,318,538,521,252,985,
277,079,104,296,978,763,236,297,458,952,948,177,012,112,361,783,445,228,518,
421,074,575,373,752,251,589,124,535,142,128,375,130,508,415,491,859,629,025,
759,531,221,819,996,014,983,678,952,480,393,805,788,990,912,477,768,739,998,
496,433,051,136,040,246,897,464,119,266,277,283,729,236,836,400,605,130,997,
143,058,069,808,190,479,315,119,800,232,793,493,203,467,398,348,680,658,590,
108,084,875,632,615,434,235,335,749,910,642,962,890,488,451,426,641,956,516,
263,721,283,458,355,369,240,511,352,089,929,581,416,134,933,904,860,590,665,
140,817,906,729,009,793,283,467,075,184,577,157,394,419,823,554,942,524,137,
100,717,003,008,374,499,653,252,084,651,831,693,668,028,661,677,015,096,147,
453,608,568,777,268,678,406,762,951,302,210,283,619,755,214,393,836,494,295,
306,575,064,850,926,641,445,531,015,208,717,961,981,054,858,388,544,078,932,
143,105,525,584,088,774,908,143,566,822,859,434,827,505,088,168,492,028,054,
698,661,664,877,790,908,452,066,743,335,076,288,339,480,473,328,217,125,464,
493,079,298,260,573,419,397,350,030,523,458,129,320,860,910,335,666,979,516,
382,177,966,530,762,466,000,988,281,858,394,351,281,570,268,028,163,124,583,
259,490,936,864,313,280,549,244,824,449,667,199,062,869,504,835,170,969,018,
861,566,882,863,419,685,371,779,939,424,134,418,620,687,770,412,152,682,919,
939,238,335,557,758,861,890,173,241,367,106,855,362,368,630,421,132,213,125,
724,868,283,351,411,747,836,910,824,382,342,302,475,547,097,739,215,782,221,
265,964,906,506,762,988,625,113,442,775,243,091,956,864,561,285,421,500,298,
117,922,097,088,067,929,113,256,482,714,248,290,213,205,999,592,505,603,269,
010,236,462,933,293,666,538,755,284,493,171,477,293,979,144,988,848,277,521,
246,422,218,530,064,600,059,760,204,881,091,987,281,504,318,678,809,453,947,
699,551,631,545,799,036,921,424,955,995,171,189,175,234,321,174,002,225,993,
162,278,121,615,144,035,735,449,089,425,313,982,126,340,790,560,404,573,927,
761,984,780,706,395,743,486,062,063,735,099,618,162,429,704,032,843,981,023,
130,076,672,859,396,951,131,042,259,430,234,096,248,397,304,802,926,982,542,
428,552,332,582,332,822,155,124,974,277,504,882,337,141,823,116,890,198,918,
918,254,470,975,335,397,605,546,216,442,505,029,788,134,292,567,927,137,041,
754,479,533,770,267,759,459,787,720,697,216,064,555,622,089,219,706,542,452,
675,703,323,819,859,525,838,537,678,591,651,727,506,828,909,780,396,421,907,
588,832,176,789,262,263,807,410,952,203,337,350,635,372,180,144,802,212,297,
946,721,990,363,112,723,589,494,992,567,984,493,913,539,870,054,000,244,277,
012,623,076,560,877,055,867,115,750,505,960,693,646,047,093,311,276,871,411,
834,344,467,595,290,177,536,474,949,117,093,350,980,107,723,406,427,053,523,
445,959,257,232,202,740,122,840,484,829,718,184,504,933,526,884,007,810,898,
224,466,261,276,213,518,979,523,759,444,238,512,284,590,996,106,761,503,367,
615,271,171,276,874,169,995,050,502,338,861,159,711,915,023,646,610,827,229,
601,737,682,677,405,192,958,618,806,692,724,688,204,492,537,445,069,531,622,
353,339,528,856,125,526,843,866,020,646,228,352,979,958,728,571,993,800,730,
209,014,328,736,960,384,232,266,273,180,761,675,587,915,704,715,917,088,166,
411,251,604,029,511,912,847,657,095,456,905,822,662,232,978,552,341,630,608,
663,711,196,989,916,831,745,662,893,616,584,903,691,658,238,590,578,145,850,
032,935,023,134,907,558,228,654,898,620,119,504,827,424,654,685,165,873,418,
705,273,669,301,090,569,788,646,663,944,891,681,507,426,592,419,570,789,373,
337,463,802,381,609,953,377,003,003,051,163,252,289,254,320,814,837,040,723,
004,837,016,715,689,810,593,087,159,035,052,845,783,261,979,235,050,896,601,
048,677,880,968,938,892,140,930,249,194,377,155,270,763,950,452,060,909,466,
055,486,979,167,321,512,249,136,600,485,781,756,548,220,927,848,118,616,584,
482,439,576,771,838,804,523,920,358,287,450,198,080,772,897,764,641,321,851,
585,227,721,252,865,107,543,830,608,679,828,292,171,515,537,735,908,298,958,
856,472,803,782,828,288,521,090,879,778,416,335,753,661,998,571,919,797,105,
540,444,250,754,977,573,042,862,200,179,720,160,425,656,040,575,185,014,941,
306,833,470,601,093,070,698,740,845,465,372,590,194,943,623,956,616,078,841,
650,783,124,692,187,594,199,476,254,503,975,504,466,738,024,631,116,992,335,
546,080,534,415,805,916,591,622,409,833,747,816,431,527,119,969,580,736,887,
210,228,292,901,760,866,229,943,439,121,770,615,993,392,537,012,178,302,453,
181,756,435,239,845,071,988,914,940,643,111,324,437,680,332,450,327,751,283,
577,626,446,603,644,089,391,033,089,736,143,389,389,199,473,411,619,256,884,
654,301,896,857,586,053,352,080,728,819,024,651,699,896,750,532,496,380,118,
276,582,669,296,888,444,115,227,222,913,935,604,999,671,370,585,570,194,784,
192,345,363,439,437,109,116,554,654,496,681,758,574,496,202,264,948,901,824,
617,827,506,987,070,653,463,049,008,647,684,266,811,301,534,527,284,186,232,
020,625,289,318,106,314,041,273,976,166,246,379,233,019,773,556,650,408,209,
901,416,033,358,126,548,001,331,016,759,344,029,722,166,683,888,354,675,581,
415,244,465,857,281,797,726,501,613,041,220,988,236,734,226,279,966,884,871,
450,527,712,245,810,502,788,634,518,221,165,712,501,000,856,670,731,714,307,
256,155,475,372,789,658,592,799,721,837,924,486,664,267,226,282,906,745,517,
766,562,299,748,547,380,050,862,744,389,540,339,645,990,423,762,784,326,866,
146,501,072,627,781,800,978,187,534,298,472,238,445,049,607,436,004,477,549,
480,839,399,473,632,447,597,615,298,716,216,920,673,982,822,211,147,455,419,
758,995,398,578,636,660,659,992,310,063,226,690,955,534,083,507,980,086,590,
558,756,506,680,797,974,360,280,561,701,205,926,707,751,320,551,554,978,478,
793,986,629,865,359,977,036,980,664,237,035,860,837,649,424,160,379,671,559,
305,490,405,775,867,303,133,176,811,453,152,107,797,223,638,131,283,569,316,
297,118,120,996,412,802,247,088,773,140,432,906,698,359,664,815,080,752,095,
174,125,600,515,225,019,825,735,379,795,214,684,173,953,666,683,290,155,894,
283,472,433,214,505,775,177,037,788,867,755,240,244,078,321,340,789,301,400,
209,659,616,086,233,348,288,195,622,652,510,078,692,805,163,196,150,959,938,
178,898,179,694,559,218,204,613,243,145,089,314,220,840,635,182,136,605,145,
823,133,301,681,524,124,954,935,939,526,476,957,466,555,140,105,119,115,435,
553,038,594,459,721,879,842,450,901,957,883,601,552,473,825,632,406,060,153,
595,699,068,515,329,925,671,475,168,009,365,870,333,764,358,795,825,660,155,
501,174,728,776,629,356,755,202,139,293,388,137,417,749,554,363,805,574,904,
460,739,404,416,687,631,511,567,879,640,921,789,352,287,650,179,708,469,204,
313,964,881,057,506,486,843,807,494,206,218,685,520,329,446,924,363,056,511,
289,870,677,319,035,832,111,924,932,520,874,349,942,577,128,019,974,500,356,
804,505,412,431,540,738,953,323,579,907,954,205,929,319,438,961,040,950,968,
931,329,636,633,411,928,443,317,685,242,394,263,481,352,790,113,762,529,719,
039,509,464,371,015,165,208,188,566,571,437,730,351,558,322,281,235,789,565,
659,528,170,375,687,836,416,296,609,037,225,203,984,609,155,170,640,052,765,
243,984,651,751,751,242,327,817,458,476,111,463,809,504,467,527,559,891,127,
945,598,744,652,572,432,754,412,908,658,503,379,967,358,376,870,149,655,845,
620,498,894,146,522,787,615,332,791,368,249,799,084,087,762,706,830,810,510,
353,752,566,949,398,912,615,980,848,666,009,874,698,368,257,829,408,383,623,
574,061,945,002,023,425,194,412,039,056,132,113,823,128,574,529,712,198,298,
767,213,901,070,257,973,426,989,686,282,888,002,304,174,005,463,909,006,571,
571,236,349,472,716,202,721,525,904,512,433,166,016,771,456,585,948,893,270,
872,183,048,485,253,319,062,971,676,595,225,901,692,785,759,837,048,964,170,
067,022,025,321,480,127,878,626,763,077,648,491,408,940,598,476,594,069,288,
067,917,832,486,636,713,055,772,412,642,342,455,969,100,920,671,694,905,202,
434,638,742,453,517,003,341,332,013,609,272,637,772,311,182,095,336,666,415,
579,711,227,932,989,300,398,373,953,573,391,413,465,523,715,840,033,902,045,
137,024,765,587,892,925,735,471,354,628,848,312,950,204,177,324,732,174,268,
525,154,431,129,843,742,006,735,809,387,794,233,470,763,732,362,499,074,599,
437,364,495,046,804,727,912,437,192,593,593,548,846,901,276,907,547,954,778,
860,460,535,150,427,411,578,456,391,302,072,393,947,096,113,281,166,115,283,
647,569,389,254,858,708,757,242,276,226,143,978,855,982,800,111,793,632,802,
441,384,493,361,876,945,910,981,853,983,192,838,538,575,308,809,656,626,800,
661,696,116,543,756,897,273,309,682,695,906,046,427,600,347,897,692,492,300,
198,445,697,180,651,096,371,499,788,103,414,754,595,620,294,386,923,194,526,
352,662,229,120,589,675,521,069,281,374,817,710,261,485,863,665,171,509,348,
630,733,760,323,974,143,384,246,207,853,848,353,517,626,260,160,921,157,059,
226,205,944,715,434,990,874,354,536,519,956,731,986,448,776,808,292,808,481,
651,044,518,804,607,897,754,415,247,643,581,624,960,637,672,968,877,255,988,
740,104,722,604,467,094,971,900,455,933,712,705,257,990,749,576,373,548,814,
276,341,375,060,771,924,361,475,676,742,400,366,603,403,281,263,866,201,798,
992,800,199,297,737,971,523,663,590,091,570,432,888,265,682,889,478,630,321,
891,404,402,887,102,781,768,824,536,407,028,387,148,605,693,790,257,092,439,
030,163,505,882,013,495,596,034,910,393,590,754,673,512,204,079,039,803,482,
032,283,853,825,051,666,419,838,151,571,489,946,730,732,922,358,866,862,211,
449,149,571,180,429,236,827,072,177,315,569,752,272,332,957,700,147,423,279,
181,208,384,721,275,885,983,387,196,383,871,872,565,804,815,541,566,103,758,
219,879,211,554,544,643,966,545,963,068,026,863,520,937,753,472,242,408,033,
304,169,122,140,174,215,530,189,669,740,799,245,029,384,119,761,442,194,115,
937,182,009,684,069,497,885,333,289,443,267,268,426,854,050,919,200,266,158,
968,320,341,066,974,463,580,529,459,246,154,954,567,583,681,760,444,302,383,
455,630,201,210,551,691,250,245,511,305,814,648,281,651,300,929,248,982,999,
925,703,831,202,294,585,864,737,332,889,870,503,763,774,138,384,731,621,873,
357,941,995,648,581,158,720,355,934,341,516,783,122,232,269,246,736,142,377,
020,478,338,919,019,462,610,546,766,250,092,636,080,708,950,945,431,581,105,
322,381,224,481,896,677,767,099,178,966,312,221,748,308,309,944,393,635,636,
597,269,461,717,534,776,427,420,813,888,381,800,019,044,324,867,863,489,927,
268,424,421,270,865,875,399,225,903,363,818,453,867,411,810,561,006,525,975,
013,210,283,858,235,789,930,799,055,907,533,260,265,151,986,468,954,432,963,
918,420,403,321,614,001,051,773,057,320,183,070,140,982,255,479,506,280,294,
318,249,971,417,320,881,681,680,383,432,735,268,111,377,492,707,094,139,742,
069,194,054,832,684,350,857,711,163,110,097,786,572,155,970,708,571,797,600,
264,898,473,006,210,604,658,595,742,751,122,675,562,061,614,190,900,669,112,
088,031,841,158,319,024,659,010,387,930,720,462,424,203,270,120,067,133,722,
948,046,744,955,680,952,992,332,968,194,807,508,074,457,129,623,041,537,398,
123,858,339,952,065,380,527,866,377,810,759,347,984,756,879,282,468,724,784,
261,723,040,479,103,362,852,280,726,905,750,325,837,996,433,130,874,561,269,
554,138,274,647,186,180,883,429,895,422,832,879,838,727,869,389,655,862,539,
113,512,869,658,577,085,176,509,839,532,190,498,840,192,295,054,230,656,548,
791,712,176,884,054,260,024,188,143,609,502,006,109,593,171,156,048,645,673,
948,144,681,923,045,424,866,250,402,886,533,838,667,049,304,315,380,262,266,
321,500,619,798,212,329,540,840,811,701,624,566,635,407,231,984,011,951,351,
563,711,203,527,090,699,462,286,994,550,538,189,517,358,518,159,999,430,291,
384,909,288,315,251,050,317,167,656,149,411,582,522,315,425,944,117,403,308,
367,691,449,147,926,709,461,479,903,989,047,389,878,612,858,746,938,410,676,
859,538,974,493,832,820,079,348,818,753,702,768,886,087,727,550,666,525,992,
354,055,917,163,813,958,783,952,672,369,218,550,229,695,733,646,346,492,273,
526,774,012,342,892,329,130,797,977,765,033,805,034,078,307,875,013,023,772,
625,255,669,629,160,771,595,300,711,739,929,831,189,008,771,741,135,349,040,
737,659,378,922,161,909,864,590,737,404,633,984,119,236,164,257,692,858,686,
271,855,633,964,280,264,698,942,353,137,884,703,952,018,282,948,642,473,702,
923,731,895,122,261,455,171,833,975,211,825,021,230,509,636,128,356,809,401,
307,492,836,934,081,017,102,218,067,163,574,155,866,886,046,309,193,417,316,
439,757,089,024,993,785,128,618,927,087,041,164,380,996,524,210,283,561,819,
048,850,187,695,355,593,403,997,788,393,887,127,396,595,618,795,631,522,466,
880,229,736,969,789,553,268,479,626,223,421,202,996,119,873,101,445,807,607,
030,331,016,446,204,127,944,607,111,949,337,427,072,040,830,214,849,337,748,
954,587,380,886,755,814,499,587,968,839,879,989,331,332,436,938,340,492,053,
251,234,167,442,775,075,387,522,037,407,220,221,234,202,538,626,027,806,578,
329,774,321,991,520,627,959,513,399,621,285,381,757,206,886,049,164,108,409,
832,291,630,009,141,491,447,850,357,494,917,752,734,418,630,227,940,422,287,
138,677,890,373,528,581,219,667,389,601,870,488,750,337,292,914,593,078,905,
949,171,537,161,913,031,398,905,262,585,010,759,045,118,138,250,244,537,506,
283,641,734,117,023,813,122,849,609,025,405,491,863,137,191,431,904,814,451,
094,097,068,065,399,456,842,654,751,996,102,178,268,602,076,314,150,012,217,
302,110,679,116,127,834,498,753,859,760,441,145,450,125,838,808,968,730,740,
642,769,979,158,510,896,954,789,979,080,807,177,824,873,565,736,470,521,913,
677,932,978,336,193,859,852,128,458,811,569,653,195,861,971,436,533,306,243,
321,815,822,002,971,679,974,350,300,037,355,655,546,252,889,967,029,605,658,
817,147,484,506,683,118,710,855,475,028,543,052,002,778,085,446,377,517,232,
682,394,748,292,493,338,943,151,105,863,915,427,587,171,026,245,887,810,921,
850,520,584,372,347,464,468,576,482,015,557,182,503,348,743,171,801,874,161,
792,479,732,789,580,184,648,028,977,951,778,139,747,187,300,842,314,591,994,
204,837,823,944,122,977,532,490,284,006,837,768,576,203,496,902,229,285,056,
025,325,436,862,185,148,275,976,641,071,968,206,051,538,894,043,104,036,058,
524,199,253,511,871,327,981,966,450,562,413,925,166,496,423,523,673,629,718,
439,277,487,732,728,130,675,834,545,995,184,721,383,702,426,252,193,928,032,
666,764,739,132,832,095,096,864,247,692,947,758,621,968,856,833,239,065,477,
438,535,804,069,960,902,992,910,788,217,695,006,042,861,653,345,109,625,522,
827,154,758,206,353,613,716,749,289,769,861,649,012,865,270,484,750,892,254,
644,546,439,837,787,513,518,696,659,113,824,016,717,872,570,064,250,943,813,
452,027,537,118,617,688,015,315,298,222,546,611,345,398,939,217,339,415,522,
315,431,943,867,980,098,917,137,835,666,345,932,299,352,856,204,920,983,900,
475,653,209,743,233,412,004,264,116,969,974,262,590,130,276,092,580,896,734,
012,447,313,809,845,865,937,516,053,027,183,868,617,965,738,351,656,751,518,
244,762,728,210,570,007,625,980,735,241,974,803,386,201,687,572,955,254,655,
539,240,879,520,883,787,082,059,406,236,871,554,962,194,901,137,932,772,153,
865,714,653,980,660,241,718,096,704,814,881,424,848,515,456,231,321,557,251,
573,656,485,455,738,631,414,454,155,290,993,311,022,798,881,953,415,062,057,
905,563,131,521,662,537,887,591,699,856,340,767,125,534,556,367,888,408,941,
170,834,726,648,039,946,855,112,483,212,068,566,408,917,581,726,103,669,458,
367,907,593,620,850,207,174,695,734,963,795,808,280,562,376,793,935,762,610,
505,341,751,092,895,286,956,458,148,404,022,348,423,015,734,640,790,488,228,
440,668,899,819,817,753,449,925,953,864,297,225,031,936,765,364,613,186,229,
663,252,152,844,556,086,557,784,943,282,585,924,794,637,519,087,003,819,777,
055,078,063,410,061,147,977,676,073,209,107,921,987,935,900,591,548,773,514,
641,354,794,540,058,579,471,780,016,286,468,547,511,005,832,814,392,432,319,
620,825,272,943,392,827,552,742,244,194,397,631,798,119,750,597,495,254,711,
266,894,009,277,560,516,314,509,755,992,544,821,866,610,698,183,874,259,444,
026,110,119,862,165,173,556,302,939,459,109,802,520,470,453,283,391,891,470,
089,799,158,082,422,092,351,664,930,927,222,920,257,832,825,133,682,085,229,
929,995,514,116,500,856,067,994,989,621,652,588,204,598,385,861,261,260,934,
332,188,509,855,689,794,175,299,778,963,492,276,932,892,860,990,862,785,794,
396,081,936,985,302,975,878,104,224,885,988,569,970,166,192,389,064,298,787,
748,328,995,512,562,199,828,184,925,152,426,350,766,834,615,881,335,390,410,
060,593,126,322,061,541,573,133,360,356,787,469,607,315,865,959,918,021,172,
523,585,138,050,228,350,476,481,424,443,637,537,160,660,076,309,217,920,580,
580,868,192,777,838,038,972,604,785,247,785,068,106,007,279,743,912,930,950,
932,171,118,453,631,208,030,230,203,864,272,587,355,779,850,473,003,359,397,
444,916,162,708,147,463,474,032,958,095,189,171,012,405,966,125,474,701,342,
939,220,795,139,441,063,823,670,157,750,340,826,558,365,547,973,550,593,269,
531,683,239,610,043,860,911,713,236,899,678,709,192,939,238,084,823,661,397,
354,223,056,883,682,928,272,587,451,698,403,314,463,357,072,542,556,582,671,
094,953,436,568,766,018,858,344,435,106,141,423,132,325,030,911,030,400,423,
129,640,256,470,529,083,539,292,083,495,819,338,246,697,634,197,770,206,912,
177,304,427,124,845,948,860,125,420,740,105,485,319,360,994,850,382,531,107,
534,038,722,935,619,254,568,349,792,125,597,783,076,446,620,643,339,537,556,
169,614,403,241,057,755,540,260,823,222,742,323,105,453,915,246,654,535,979,
481,492,428,469,001,291,406,243,282,862,468,614,039,318,005,026,875,507,716,
405,464,987,403,276,023,005,252,475,711,369,155,850,740,616,921,499,725,532,
057,327,503,161,813,533,339,133,035,965,099,925,722,294,338,922,329,644,438,
987,858,767,622,939,293,646,352,418,488,442,403,601,025,873,542,408,653,319,
861,426,220,540,190,135,914,855,597,450,839,802,751,248,292,311,569,166,651,
833,564,640,448,222,894,926,593,989,763,878,557,568,534,031,562,328,311,215,
676,126,413,677,406,725,660,429,603,697,787,149,489,040,242,104,498,820,509,
828,364,294,283,034,521,128,112,648,076,864,884,715,716,656,262,224,619,145,
231,329,282,709,148,756,358,294,313,004,062,655,571,875,066,746,815,132,371,
338,669,420,794,595,291,366,844,626,988,641,346,393,183,258,109,281,346,161,
121,850,844,544,945,793,049,679,134,408,273,464,629,979,932,699,429,755,937,
673,989,671,917,126,855,667,952,530,724,544,118,937,407,293,715,120,421,285,
192,273,537,641,113,848,419,937,211,798,419,528,413,473,891,466,616,970,180,
854,653,290,618,732,233,816,488,422,935,313,226,803,883,151,575,373,529,017,
842,670,172,759,417,094,829,563,136,922,862,836,988,539,843,206,573,794,068,
412,340,882,104,611,757,550,982,472,258,198,614,795,789,807,158,911,423,042,
628,518,558,261,862,011,185,195,641,480,698,836,601,431,151,633,439,797,539,
006,794,910,109,963,820,696,788,624,709,102,455,399,508,313,180,452,114,381,
723,877,210,849,875,343,854,374,364,557,670,770,569,102,947,704,446,063,258,
594,242,456,136,958,724,198,418,680,824,268,169,431,821,740,173,170,607,407,
932,815,744,271,511,167,435,727,302,461,340,348,193,248,724,733,421,864,459,
006,308,845,997,906,187,383,087,663,088,994,003,199,973,074,311,116,093,954,
748,800,396,034,329,161,759,385,213,156,462,454,722,061,587,332,408,914,996,
579,476,307,118,316,149,860,602,712,347,764,294,560,881,839,826,096,677,253,
261,751,980,354,651,039,219,891,547,698,228,859,185,557,782,892,026,413,984,
740,980,770,743,936,154,641,084,844,175,107,842,938,979,716,519,941,886,342,
268,921,013,234,979,532,573,903,528,776,883,351,510,565,834,292,138,265,259,
883,421,354,932,600,485,304,355,399,789,306,999,614,148,042,936,434,869,430,
224,156,636,225,964,478,401,642,024,332,587,503,842,887,060,310,869,644,350,
392,247,981,540,485,876,940,099,426,679,096,613,548,008,339,700,117,732,192,
634,158,437,294,359,745,329,773,854,536,076,742,211,888,236,608,456,905,047,
723,421,262,595,101,787,336,078,218,890,649,735,662,298,803,101,891,742,907,
615,004,847,918,828,053,306,388,087,487,327,911,226,168,135,261,873,241,187,
529,636,721,887,675,000,564,677,651,721,961,545,264,139,056,548,156,621,049,
790,987,970,157,802,762,107,785,036,269,683,001,253,927,530,749,149,384,154,
830,749,753,384,241,402,377,523,121,784,768,103,718,074,484,328,952,041,367,
709,865,978,064,648,221,785,639,791,422,125,085,452,989,656,786,895,375,446,
698,287,755,661,592,036,242,215,217,093,781,181,934,114,706,142,160,852,746,
494,758,654,991,467,779,330,177,261,430,874,847,044,343,684,535,773,477,260,
268,389,280,553,118,420,187,490,077,621,959,919,195,131,068,229,310,695,568,
857,691,936,977,506,289,081,041,059,109,518,474,637,644,804,937,676,167,852,
439,607,124,110,051,656,840,808,354,247,509,005,542,359,795,530,708,300,785,
417,207,497,985,686,912,399,694,922,220,305,533,633,166,202,064,471,863,089,
961,927,615,216,548,711,218,926,779,759,386,554,939,034,234,650,325,743,280,
239,972,194,696,676,960,801,204,825,870,091,970,917,084,186,840,552,333,514,
573,973,244,525,882,364,533,817,156,273,574,427,288,293,800,112,476,717,420,
217,887,253,619,752,887,839,739,806,012,081,615,529,249,127,406,606,154,021,
692,114,782,624,558,319,514,653,600,916,643,609,309,937,487,868,744,301,069,
282,607,502,849,659,806,160,548,464,606,982,655,642,345,294,926,503,284,407,
223,601,635,342,073,633,358,452,311,095,441,604,822,994,141,208,175,586,463,
538,317,906,309,422,743,370,770,728,684,017,225,474,928,080,682,741,153,843,
202,808,806,215,716,314,252,233,391,901,422,591,048,195,025,827,921,315,454,
709,045,246,797,853,699,950,680,974,536,915,581,187,452,691,855,566,604,839,
093,402,673,695,193,305,772,030,847,938,713,068,912,926,237,727,378,361,853,
714,724,866,410,992,466,067,050,378,413,042,514,750,612,338,693,544,042,257,
385,684,982,221,403,766,794,380,825,598,637,343,873,344,485,804,822,752,466,
758,872,015,494,407,930,128,826,668,834,198,762,192,529,866,366,695,972,495,
867,939,632,470,159,564,203,059,532,603,424,357,173,991,071,783,178,703,903,
767,141,930,813,630,487,376,090,862,118,554,487,020,272,360,460,156,499,892,
539,134,460,245,846,861,694,026,381,036,907,242,815,811,109,041,904,705,935,
928,348,911,411,939,413,740,536,849,280,641,603,892,832,134,072,061,208,184,
026,066,331,670,608,492,760,844,680,771,444,686,211,701,823,763,274,157,406,
231,464,653,670,653,822,065,407,998,232,836,380,172,135,067,835,008,760,360,
778,807,316,532,064,688,373,527,615,425,846,948,431,369,297,386,808,795,443,
641,389,227,872,595,418,645,795,515,964,227,343,758,034,835,980,678,014,467,
623,221,865,746,830,061,808,339,702,417,431,977,724,349,870,147,307,530,463,
609,445,881,984,938,286,149,286,423,973,872,408,097,061,157,609,237,011,188,
287,888,731,052,053,556,093,424,031,347,525,170,685,163,091,792,654,017,049,
605,109,249,220,513,103,792,925,545,547,061,402,635,546,943,519,213,119,064,
200,344,516,134,215,269,964,535,334,985,951,587,583,005,772,764,814,105,390,
773,381,841,387,011,211,838,990,816,883,802,229,803,371,135,688,638,590,422,
003,844,907,753,536,639,656,119,690,689,792,189,828,278,485,897,875,475,848,
240,551,175,274,448,232,675,866,039,523,643,559,162,792,739,658,269,876,469,
154,663,776,003,591,160,967,615,831,213,719,693,809,013,844,304,184,842,206,
100,837,375,114,866,114,576,058,280,492,636,144,986,979,962,991,198,570,310,
487,832,187,830,741,189,740,949,449,842,411,475,718,228,601,232,823,994,656,
081,575,622,998,155,434,988,083,096,502,886,441,270,945,155,221,880,834,466,
591,158,954,217,018,698,275,849,659,866,111,332,114,097,665,445,818,473,274,
786,373,452,225,231,623,405,018,787,714,779,505,206,713,345,464,232,357,300,
615,755,416,115,347,606,298,053,857,418,009,034,028,046,716,146,903,710,022,
325,467,889,027,274,912,571,685,714,028,895,263,139,848,654,881,201,725,500,
428,264,292,842,131,553,568,094,893,144,012,402,304,527,743,312,386,274,694,
363,875,273,475,156,917,814,484,458,581,627,036,399,577,318,306,564,427,358,
419,628,958,965,629,392,756,821,193,274,691,659,775,618,181,092,894,799,953,
191,262,781,191,543,520,364,055,362,320,655,802,592,644,244,659,694,856,562,
715,340,448,395,142,951,827,931,755,841,115,652,785,582,295,427,782,245,809,
964,719,397,949,145,413,353,715,663,030,945,790,741,739,382,930,360,371,084,
603,067,541,297,316,056,752,760,124,078,412,790,651,453,751,111,800,637,562,
097,099,660,989,604,840,117,572,079,476,409,645,600,224,185,558,884,175,702,
781,061,223,105,588,709,885,915,727,473,119,468,195,318,293,418,483,384,328,
793,847,513,377,696,059,344,715,564,096,842,992,288,187,336,794,659,280,350,
843,358,629,840,813,475,187,530,370,887,764,977,679,172,347,960,086,091,087,
909,676,868,041,930,240,034,443,153,496,513,408,982,003,055,180,121,389,189,
242,941,301,048,027,655,497,112,889,465,259,934,067,018,371,331,596,779,251,
841,682,192,641,352,432,621,660,426,675,051,365,227,754,747,851,556,103,126,
265,574,593,989,079,943,009,879,396,929,773,141,697,890,701,335,610,804,134,
444,686,249,131,696,935,260,709,759,625,396,407,287,303,507,812,433,063,098,
106,367,271,039,389,472,856,926,402,762,669,031,237,809,207,230,149,626,895,
307,909,779,083,363,845,126,531,129,080,064,266,381,706,553,104,936,909,166,
060,660,487,259,416,715,849,516,177,480,419,867,209,745,451,376,888,455,535,
137,907,686,876,417,324,105,696,433,211,476,371,387,565,016,576,276,068,999,
332,534,392,541,557,297,287,695,779,236,419,977,314,541,211,187,216,233,413,
691,392,239,403,979,158,248,559,740,675,067,720,491,639,734,488,840,770,906,
803,467,247,102,039,555,124,636,587,505,382,419,184,025,697,341,822,757,341,
982,646,009,724,984,742,689,879,581,893,455,626,233,187,643,102,717,968,321,
569,630,813,939,894,077,631,764,965,112,876,405,217,292,205,520,542,253,132,
681,138,734,786,333,899,564,964,022,299,662,277,939,525,029,956,577,432,924,
963,264,147,676,916,339,109,233,893,725,008,406,123,316,069,572,866,099,102,
661,833,192,206,156,882,253,060,505,075,939,718,572,990,883,689,077,071,664,
465,263,819,212,057,154,468,720,124,221,858,884,335,592,380,586,844,102,943,
134,864,697,824,827,619,027,110,435,396,220,153,917,346,944,643,330,796,151,
803,392,568,811,833,314,722,935,273,801,742,096,791,649,666,413,989,749,603,
724,278,979,947,987,470,887,590,259,208,715,391,158,897,355,200,814,278,727,
757,240,663,109,048,198,917,170,426,268,751,123,308,727,011,429,434,828,768,
515,284,928,855,986,157,093,850,960,361,909,003,425,719,942,554,023,689,063,
753,223,339,611,164,256,117,243,567,115,218,317,335,461,140,804,940,319,270,
492,714,028,312,595,044,787,571,297,839,466,249,938,857,570,463,331,125,619,
719,629,508,360,597,605,450,339,085,240,471,165,340,601,887,547,496,892,726,
347,733,940,389,995,313,618,543,112,946,078,848,664,224,346,235,878,155,892,
844,681,795,649,223,631,406,800,882,547,227,616,259,863,673,594,866,731,973,
762,265,714,857,707,221,216,427,336,386,134,444,605,815,629,624,185,262,115,
153,885,019,009,036,395,707,803,821,241,919,525,293,432,225,073,309,246,268,
012,416,344,314,568,597,600,783,401,598,907,168,255,175,362,086,229,317,424,
186,363,966,749,826,907,234,513,560,484,289,218,954,726,735,130,058,361,545,
668,814,066,318,009,497,164,201,287,952,606,307,734,433,733,038,431,958,479,
001,521,665,049,588,523,775,329,077,546,831,807,827,827,170,717,892,607,650,
941,648,255,747,957,258,191,844,978,251,065,528,622,766,527,131,384,731,291,
842,883,715,966,797,403,611,301,863,138,680,525,797,087,440,330,300,905,839,
041,903,137,062,509,170,665,568,066,496,609,903,203,234,386,298,860,035,946,
261,639,754,866,890,631,127,178,323,215,411,190,794,262,391,661,644,763,222,
112,197,778,544,271,136,152,074,422,851,645,786,873,016,380,688,848,443,784,
480,006,474,817,269,547,031,979,942,323,061,810,528,895,254,602,609,023,953,
732,628,763,497,603,981,733,024,050,138,491,785,835,984,278,646,374,879,906,
153,290,272,004,677,568,805,159,153,649,332,833,002,485,106,958,006,606,223,
897,429,309,265,802,633,420,356,535,962,189,608,102,099,200,661,677,522,814,
236,575,736,340,791,864,385,701,367,921,339,182,008,858,390,275,022,360,777,
055,687,866,740,462,626,628,534,740,930,384,110,425,810,699,158,927,868,668,
640,605,292,508,620,140,041,474,990,036,933,519,760,702,658,138,672,232,590,
166,052,965,815,218,993,323,175,287,412,762,432,512,704,544,212,126,377,207,
515,066,123,033,443,270,071,620,775,624,628,593,200,433,024,516,890,224,580,
951,208,615,237,480,846,115,215,634,792,515,505,487,144,305,040,919,436,882,
006,783,493,783,667,182,665,600,385,480,941,551,700,874,670,394,596,831,834,
543,078,975,562,564,184,400,281,308,264,777,680,958,364,909,718,280,505,522,
822,390,971,149,108,771,331,331,187,986,786,152,523,108,964,929,208,168,202,
749,385,333,186,503,426,607,112,201,323,741,295,024,833,031,697,574,408,334,
915,192,839,164,524,430,507,318,316,545,317,391,751,115,812,714,847,077,934,
943,031,667,550,717,478,349,330,698,477,062,446,107,181,956,597,097,244,157,
578,145,571,350,388,235,592,491,113,527,503,302,419,447,398,885,203,767,149,
158,854,585,362,949,122,235,602,521,217,637,926,591,823,475,665,082,314,533,
063,941,379,761,315,167,427,573,488,565,615,593,937,347,917,863,262,362,979,
692,838,915,518,702,675,605,804,068,322,492,034,511,179,902,685,615,907,007,
466,115,808,669,084,243,335,623,430,665,082,344,701,542,695,878,325,590,529,
999,056,449,526,865,048,964,680,556,534,105,638,111,731,807,361,637,103,684,
125,863,091,361,695,215,158,317,015,126,074,198,771,488,496,400,138,901,174,
172,572,710,345,089,977,911,879,417,870,259,176,897,193,581,994,589,615,511,
739,402,933,741,744,603,586,566,558,281,050,751,486,987,643,942,914,960,868,
196,179,722,077,007,372,673,147,936,179,261,020,963,397,300,478,075,016,597,
925,127,605,087,572,182,704,774,321,966,730,695,346,856,169,027,592,523,430,
215,018,516,657,524,503,158,099,811,774,483,844,607,478,532,707,369,616,600,
040,695,803,506,590,527,239,873,404,960,014,893,561,124,077,731,244,327,898,
591,795,758,036,689,886,580,026,257,913,431,300,236,873,713,759,865,401,516,
410,413,803,045,004,689,790,685,980,316,592,396,823,396,402,752,422,072,219,
627,973,070,999,960,050,805,627,769,317,036,629,350,104,547,701,889,739,510,
493,585,730,590,666,067,827,924,302,008,925,895,737,569,686,163,307,447,368,
174,483,809,154,192,160,633,222,267,811,869,522,006,803,487,781,045,847,725,
098,205,765,342,116,040,655,509,675,222,416,656,076,552,432,548,135,898,711,
750,729,236,880,881,877,890,493,018,324,311,760,306,757,433,856,772,892,260,
914,052,786,725,510,383,839,834,559,632,205,532,226,035,612,983,934,174,614,
798,088,734,743,476,648,425,578,061,618,475,760,452,638,549,861,907,648,834,
261,276,301,745,256,835,082,502,018,487,187,008,141,355,598,327,568,064,311,
145,237,193,158,588,432,286,412,872,438,857,357,821,824,725,144,988,555,671,
754,567,407,418,917,310,899,442,528,453,592,426,189,408,809,379,967,866,742,
907,109,479,887,579,309,663,933,154,798,736,314,262,608,799,853,433,764,256,
059,574,186,901,307,475,988,048,257,354,361,452,580,869,683,710,631,940,663,
563,926,437,825,440,309,879,227,631,860,741,869,047,453,071,041,394,990,404,
317,507,382,935,999,385,130,242,750,773,994,671,961,691,254,220,278,872,719,
579,094,160,543,416,993,901,050,523,811,198,669,584,437,538,881,458,462,172,
235,979,928,871,974,171,833,974,333,302,402,921,963,567,906,587,512,761,464,
210,113,656,145,781,029,528,939,517,867,480,111,954,317,703,810,287,908,388,
944,503,002,939,482,211,554,820,723,112,882,077,585,342,661,853,728,769,106,
784,310,854,955,690,099,528,607,824,555,836,636,917,050,520,121,775,486,718,
144,721,415,795,234,592,994,997,437,560,739,549,661,289,745,563,796,228,817,
416,298,815,468,168,375,438,602,938,657,982,280,747,222,788,822,260,178,386,
786,774,744,862,443,759,263,012,010,841,240,150,081,720,591,123,946,247,873,
811,415,639,459,777,869,498,809,222,002,887,220,506,181,777,151,296,721,441,
364,130,324,939,694,539,555,577,141,869,240,007,462,546,178,618,952,709,523,
949,465,986,573,934,439,873,894,523,327,390,065,983,100,745,316,179,057,637,
712,424,887,682,260,827,698,057,447,839,266,190,629,206,470,534,062,756,464,
637,390,627,919,618,882,352,033,589,759,167,097,215,113,601,366,710,938,446,
637,151,164,393,929,241,415,166,502,778,559,790,747,512,624,470,919,501,487,
313,127,275,628,291,905,232,992,999,508,641,523,319,541,161,388,135,647,637,
408,402,254,847,671,301,423,537,711,852,218,423,551,762,917,349,078,868,233,
555,033,329,617,642,532,083,483,953,196,540,437,156,508,963,208,220,189,964,
916,131,197,340,545,232,435,944,746,588,753,023,878,332,599,427,618,547,884,
179,916,034,184,619,593,790,468,612,487,023,204,840,105,412,570,102,773,123,
877,740,224,759,888,646,920,007,875,645,604,835,890,568,309,579,686,197,755,
621,280,743,055,788,374,226,321,123,085,919,604,417,091,071,303,829,200,179,
526,300,079,763,220,368,650,263,383,772,171,533,862,315,546,041,261,727,763,
941,878,750,632,871,148,471,508,287,271,676,462,827,682,981,573,839,301,361,
263,195,555,219,568,347,024,105,959,780,608,727,536,414,686,466,101,477,602,
076,069,403,679,387,737,377,724,910,309,814,900,291,363,877,760,051,594,880,
885,159,090,885,924,336,720,955,266,882,281,456,057,663,304,123,987,366,935,
118,445,923,054,268,983,537,910,748,018,673,775,324,320,076,131,658,566,286,
018,313,186,393,335,472,215,670,737,586,614,460,815,127,231,361,749,904,338,
036,962,058,800,178,130,403,319,243,174,881,567,495,282,923,545,063,398,931,
778,721,191,343,855,593,433,580,391,282,098,312,138,586,407,544,732,203,443,
136,102,820,678,599,322,493,159,749,205,895,482,728,290,155,277,334,845,709,
565,658,063,196,304,013,659,109,820,172,319,636,278,758,112,398,015,030,023,
760,911,394,759,667,157,778,836,021,651,369,935,643,975,894,855,191,844,057,
399,314,232,315,361,396,948,012,519,396,226,608,392,689,718,135,703,651,570,
008,015,907,372,741,816,172,969,690,339,575,918,092,962,248,853,605,434,810,
515,333,859,895,770,429,956,602,900,539,639,771,645,258,035,085,925,044,306,
854,781,840,864,805,524,880,266,031,750,953,410,926,569,606,898,108,698,431,
729,985,900,513,341,737,111,467,184,359,715,499,026,317,571,781,729,657,202,
516,573,220,770,543,513,104,196,739,768,904,718,854,119,100,402,331,423,968,
768,006,785,748,136,783,472,324,015,238,786,601,578,529,829,811,369,770,858,
846,021,200,507,176,823,102,496,149,305,885,329,371,922,864,163,768,676,138,
834,437,985,684,197,953,516,409,874,914,514,845,025,903,868,663,120,020,669,
374,393,422,169,248,198,784,098,213,088,736,387,548,308,587,412,946,180,033,
183,407,184,201,344,518,373,473,687,055,183,652,014,559,124,588,441,954,160,
156,235,835,889,418,655,428,266,115,682,585,699,362,898,470,260,508,894,838,
694,895,093,651,360,939,766,295,009,374,104,281,578,839,684,672,236,281,572,
952,097,178,358,914,701,134,413,053,184,390,042,710,591,770,456,816,418,997,
696,161,793,520,308,292,681,814,656,774,189,864,923,968,299,774,508,877,170,
238,737,484,323,485,156,067,080,684,048,844,682,188,161,552,852,212,638,031,
839,370,358,977,797,024,808,782,816,628,014,868,588,628,314,991,861,236,706,
934,479,591,700,514,352,393,995,068,085,532,311,107,067,322,719,069,104,702,
356,943,828,868,234,785,284,696,103,648,912,217,816,430,286,528,801,880,194,
610,767,451,217,828,517,497,627,970,666,926,165,281,004,750,804,614,244,970,
134,863,892,509,368,985,975,696,224,427,581,528,991,518,398,566,472,875,359,
260,540,690,910,682,501,304,438,433,975,482,921,250,039,799,510,449,644,563,
013,403,883,816,575,418,678,615,892,945,640,302,545,103,578,592,897,684,382,
986,937,408,639,829,583,402,949,315,209,676,996,223,245,874,845,085,156,943,
473,677,774,794,249,789,448,184,377,874,169,292,872,796,514,700,898,468,569,
481,560,687,906,199,480,652,412,541,785,824,791,970,279,880,584,914,882,296,
687,450,010,574,028,953,801,208,953,484,244,124,221,369,451,892,857,916,084,
557,549,506,532,619,379,518,187,356,824,872,047,943,005,881,123,242,263,422,
185,872,085,654,876,465,537,515,222,801,738,380,065,360,142,200,733,347,002,
917,748,273,014,452,011,364,144,336,263,437,297,229,465,434,973,717,435,460,
233,331,140,421,609,556,277,114,328,508,487,126,362,118,820,292,275,523,038,
089,262,693,056,783,759,430,985,686,178,735,567,728,363,773,052,149,219,041,
932,205,351,209,431,656,712,399,833,569,624,421,126,231,320,236,037,915,460,
568,393,965,220,137,513,620,327,100,991,641,966,766,453,818,580,998,834,978,
002,453,478,186,897,804,514,143,227,862,946,827,491,811,320,102,906,199,885,
976,113,782,702,556,952,612,714,665,339,863,628,127,170,989,387,851,389,888,
553,048,460,904,973,998,672,574,089,321,583,068,420,242,890,268,484,937,313,
530,957,565,380,113,339,361,452,598,005,031,125,015,317,266,020,000,373,263,
728,872,973,045,822,079,952,521,462,880,830,256,444,656,276,051,071,021,712,
615,796,933,365,253,572,873,904,727,377,484,451,792,932,216,480,666,365,089,
127,092,783,233,337,460,009,764,636,885,255,864,862,452,896,396,913,628,536,
313,152,609,877,860,890,501,031,792,912,950,450,708,285,911,260,391,327,326,
969,053,639,368,402,235,317,857,100,274,138,508,354,625,234,806,626,882,474,
121,943,421,851,540,165,737,385,011,577,481,469,909,986,427,696,778,367,919,
974,307,138,408,570,897,661,772,136,048,411,453,444,060,225,088,575,200,961,
965,611,018,583,291,660,985,044,534,015,553,239,540,936,338,197,195,775,405,
192,892,753,417,018,484,647,063,356,644,898,306,604,918,655,222,962,697,600,
170,318,093,281,872,817,540,048,764,952,544,404,352,813,603,720,910,469,449,
699,186,603,236,129,368,304,784,817,038,360,867,898,394,441,496,335,253,641,
382,376,244,934,499,616,285,681,413,665,088,498,917,193,829,209,566,577,343,
291,854,456,404,042,777,782,226,125,480,852,287,664,145,215,485,965,232,470,
884,518,964,632,839,758,360,767,477,835,729,934,828,510,688,761,858,586,210,
731,146,646,143,929,615,048,579,814,755,528,311,821,709,175,921,023,673,768,
730,870,196,279,269,089,595,647,612,690,538,294,471,898,594,070,292,428,051,
778,406,807,700,558,530,652,230,192,960,622,306,120,928,155,941,479,660,752,
107,355,949,240,940,697,555,864,965,705,126,203,256,971,161,994,407,094,231,
523,228,327,402,464,435,173,763,989,280,595,673,674,740,683,282,184,664,082,
578,560,542,712,500,648,024,522,051,243,039,840,073,622,410,772,851,785,339,
786,958,601,454,786,506,016,987,312,963,462,073,789,183,995,850,109,410,612,
018,130,299,145,691,854,619,189,437,955,767,195,701,634,012,252,588,186,252,
094,320,430,686,134,361,437,541,869,427,269,184,615,716,607,720,155,291,385,
383,833,006,489,217,937,685,972,328,068,743,236,432,631,879,246,918,845,395,
862,175,428,383,885,328,323,222,164,870,057,731,347,853,505,925,922,223,029,
814,084,015,169,860,755,328,834,730,203,311,564,367,146,637,867,784,622,417,
904,378,269,887,793,915,717,609,400,838,421,977,997,247,670,893,064,413,214,
632,291,689,571,526,359,243,199,628,980,807,726,850,340,618,120,238,619,694,
152,199,771,781,756,244,919,246,769,675,623,950,325,212,875,547,666,222,723,
650,492,528,706,503,270,464,499,679,629,001,448,675,987,648,581,857,692,393,
985,830,483,440,129,256,408,945,594,396,098,987,638,445,571,529,070,153,975,
075,898,236,077,758,752,312,937,914,810,249,851,537,071,726,300,403,349,475,
038,485,912,631,149,261,834,192,690,823,683,546,860,448,131,044,104,373,053,
049,828,434,550,641,796,045,160,221,322,415,227,259,801,839,133,489,561,583,
437,735,448,282,426,501,697,626,291,192,374,345,164,777,286,449,648,751,978,
625,980,744,543,902,912,108,950,598,128,348,810,232,764,169,568,073,153,381,
174,956,988,695,065,628,397,116,285,138,864,365,418,112,474,593,427,428,854,
437,668,886,684,031,205,050,612,671,126,579,808,815,699,433,337,878,099,178,
940,612,768,020,313,150,570,361,442,048,285,361,346,553,196,845,749,282,386,
901,548,059,727,580,258,091,131,876,364,891,883,929,352,918,121,460,038,389,
346,718,517,133,551,402,963,430,592,567,396,785,717,187,808,032,001,718,553,
945,410,621,341,719,158,600,746,583,923,550,098,824,259,745,084,382,298,161,
246,571,471,018,289,458,838,452,910,676,354,369,784,149,269,065,030,070,727,
191,406,822,029,409,333,156,746,302,340,741,058,909,421,806,196,388,754,089,
785,684,700,132,209,701,743,362,391,272,511,354,122,583,923,365,874,132,429,
154,698,929,838,874,076,153,817,914,042,865,361,049,112,356,567,490,874,146,
888,680,895,508,396,375,096,414,146,352,889,824,444,303,054,801,048,110,978,
167,517,969,708,699,270,170,419,724,451,027,377,204,035,302,853,423,032,511,
391,617,159,731,258,889,823,818,545,140,228,414,443,182,236,462,021,750,413,
632,988,579,443,176,129,386,425,992,485,742,743,907,592,988,061,182,810,154,
983,987,574,171,002,687,702,539,627,002,828,126,859,852,515,621,276,134,421,
193,913,437,988,683,782,251,800,250,941,646,598,609,739,553,658,569,301,061,
453,214,165,613,423,849,335,160,094,829,106,906,452,638,613,170,573,534,991,
919,931,420,442,726,849,772,722,852,483,487,402,326,904,157,429,219,314,768,
591,561,056,671,093,196,125,396,268,774,278,308,179,756,243,750,857,092,559,
094,548,739,751,195,164,555,871,750,541,834,617,957,130,860,367,132,816,553,
851,591,256,406,688,490,318,737,294,469,471,913,033,913,233,560,788,509,499,
730,678,290,565,016,719,744,439,738,137,053,301,706,339,138,233,811,115,732,
708,810,772,610,011,026,380,960,405,406,201,062,630,209,506,887,069,226,063,
985,777,203,027,746,451,298,302,494,464,339,004,751,930,028,540,379,694,528,
558,331,970,365,877,758,895,139,578,726,156,328,381,624,775,577,390,284,357,
032,957,628,878,720,287,214,018,081,727,093,581,964,653,797,278,278,970,168,
568,496,064,811,939,114,289,764,298,904,548,693,281,981,835,247,558,908,121,
048,974,420,675,124,188,236,456,770,070,255,128,369,924,050,059,181,148,582,
951,130,137,007,375,620,258,707,667,103,629,963,195,623,740,518,405,462,198,
380,052,270,537,897,411,622,723,006,737,932,917,107,049,056,937,500,402,878,
376,571,441,461,161,113,104,376,428,431,276,357,628,460,551,135,887,250,375,
212,718,071,801,646,021,780,875,555,254,117,865,798,599,663,230,666,615,230,
735,800,644,628,646,763,049,621,622,229,123,724,329,354,531,916,911,238,691,
507,164,706,301,567,511,118,924,520,495,939,472,953,998,438,822,187,900,709,
722,163,153,765,814,690,433,050,146,740,266,340,150,151,355,935,840,091,479,
072,551,322,474,269,205,600,673,452,687,282,832,136,216,197,607,358,810,547,
230,887,276,343,505,799,215,306,539,155,033,325,444,343,745,486,733,752,770,
847,467,919,896,892,302,854,758,232,476,525,956,693,165,613,405,680,137,050,
686,132,957,458,287,779,362,785,400,131,179,941,893,791,629,878,081,187,718,
717,799,948,115,668,259,388,893,113,300,546,686,075,814,841,884,402,176,452,
973,578,698,142,160,160,886,153,234,766,988,044,157,256,648,491,061,567,018,
842,593,483,601,745,889,773,767,305,255,687,962,278,812,215,638,321,280,252,
818,378,325,383,074,463,464,415,524,953,939,647,141,521,624,633,272,040,189,
379,829,365,911,411,214,402,052,922,375,157,077,054,431,380,734,594,895,198,
854,154,881,325,923,162,952,699,300,116,763,157,107,957,287,246,813,352,936,
115,385,791,477,431,243,719,892,265,474,876,128,072,860,367,841,398,435,777,
448,717,379,158,677,553,691,670,371,719,890,162,926,519,930,515,689,587,877,
132,549,943,435,002,151,844,005,615,661,721,743,111,192,659,580,575,549,889,
648,540,070,460,180,061,136,134,827,725,521,499,258,723,446,793,834,637,496,
086,339,199,458,283,820,480,901,163,899,289,258,659,630,623,256,937,297,261,
902,136,254,704,021,952,718,686,896,091,261,790,572,250,775,143,710,556,939,
745,989,173,602,670,765,176,387,945,834,868,173,323,826,833,372,727,226,444,
053,275,238,227,851,844,051,322,676,947,291,398,603,735,620,138,551,736,944,
352,714,165,052,348,801,581,405,354,564,622,517,204,121,743,324,501,594,767,
037,684,992,507,152,815,881,043,570,387,656,835,307,906,597,646,047,597,214,
256,297,636,254,930,619,681,238,590,346,993,228,238,309,358,236,824,869,185,
816,663,538,799,662,853,764,468,020,257,921,734,437,316,384,059,210,414,770,
485,065,156,394,637,048,828,659,938,659,599,644,801,921,188,784,971,824,236,
318,086,733,442,431,277,875,408,377,683,593,232,454,465,641,339,018,644,260,
867,191,279,777,056,989,529,114,065,242,086,454,967,679,508,082,057,329,347,
489,963,871,023,250,414,780,490,239,501,524,707,458,942,445,482,159,293,193,
696,174,818,341,309,450,366,150,346,615,285,941,636,393,028,602,505,262,319,
516,870,864,135,468,933,392,584,236,783,538,982,034,403,033,050,098,187,690,
162,429,747,753,893,095,402,662,949,329,758,053,177,010,005,533,441,781,923,
151,306,863,380,012,981,227,139,894,587,953,660,387,740,970,677,683,769,240,
482,312,648,097,921,723,089,223,126,698,938,931,166,512,218,340,968,523,563,
697,926,689,751,525,866,472,550,958,871,360,092,796,121,298,196,380,671,829,
500,679,610,587,684,570,836,031,102,413,823,010,482,101,558,046,094,948,587,
049,909,104,582,888,656,923,903,102,924,885,869,671,004,869,697,841,424,656,
716,123,766,452,931,647,410,156,502,519,282,053,789,229,275,577,179,111,666,
209,711,187,589,164,586,517,404,481,450,290,339,179,927,128,415,165,190,837,
345,309,408,365,955,089,161,002,339,801,110,038,341,414,015,787,649,236,265,
841,410,357,368,185,719,630,604,645,652,875,394,688,323,188,384,745,209,536,
385,238,097,061,737,939,116,437,769,797,065,761,427,288,158,451,009,054,848,
745,291,995,423,944,078,213,263,997,020,832,718,474,942,041,985,373,145,946,
948,278,485,773,341,824,998,847,519,448,016,987,706,018,872,697,115,528,891,
234,724,802,104,063,170,025,370,192,087,884,622,331,114,056,779,882,938,671,
090,995,804,682,126,393,695,555,650,239,436,256,378,506,377,329,728,364,819,
354,064,437,124,233,657,071,607,011,266,164,507,740,927,255,464,892,052,980,
273,757,026,607,536,959,252,526,397,599,328,097,059,390,122,478,315,764,904,
758,633,045,074,443,979,870,303,601,138,394,535,353,053,962,112,379,001,488,
389,979,225,031,392,855,608,895,390,404,639,882,233,963,764,349,452,372,588,
927,135,860,304,302,481,594,365,952,236,876,723,953,220,814,765,572,760,712,
098,634,557,071,848,972,949,069,285,509,027,277,932,554,202,188,887,183,154,
087,376,901,004,159,394,213,727,563,274,198,886,492,520,763,480,869,732,090,
919,890,698,473,917,872,898,997,283,829,585,603,345,637,577,878,358,652,782,
534,228,937,141,284,938,674,429,074,876,099,145,578,926,228,361,038,446,360,
217,796,856,830,971,782,310,397,424,533,293,112,077,996,492,039,565,553,574,
305,484,414,149,108,354,251,565,059,404,668,739,869,971,609,476,995,279,471,
691,021,276,934,280,966,857,914,419,978,277,139,745,919,718,627,569,527,543,
684,432,420,267,262,496,019,596,734,273,114,231,951,199,459,780,383,962,624,
284,395,037,208,902,618,152,166,349,700,071,356,433,728,479,574,358,361,124,
014,454,581,459,963,548,140,222,941,263,114,214,528,375,367,974,321,383,025,
172,912,213,705,691,535,583,474,239,270,555,759,286,399,435,134,473,838,000,
494,771,809,592,401,782,353,431,553,042,412,279,934,481,934,500,897,844,438,
658,334,641,516,237,257,763,321,965,002,020,683,464,304,533,210,733,560,455,
320,951,103,859,441,464,537,057,914,628,503,074,673,191,164,753,981,809,991,
758,952,390,024,778,012,345,356,460,722,859,492,367,009,721,357,567,667,698,
974,461,211,699,391,083,813,657,318,426,530,870,048,209,047,409,847,781,547,
999,398,661,545,372,375,660,325,786,233,177,533,693,076,988,164,796,010,083,
973,501,646,735,005,472,952,131,114,413,908,819,991,802,111,473,528,948,168,
611,212,741,590,943,851,148,801,348,614,274,352,423,678,029,530,411,766,996,
263,864,282,796,409,065,381,233,321,123,655,915,928,087,451,743,827,276,217,
659,576,138,471,525,076,726,336,155,285,286,926,371,988,580,287,538,591,135,
181,234,992,346,799,525,689,616,608,720,680,457,734,303,733,186,252,140,687,
860,157,986,013,882,778,931,551,169,102,801,372,115,571,894,765,842,400,022,
746,664,110,877,758,186,665,121,884,007,977,534,642,604,809,126,861,832,715,
291,374,891,593,560,149,295,774,937,843,487,759,155,268,950,352,410,901,422,
721,545,815,196,351,596,358,440,185,650,325,062,769,421,627,268,778,378,596,
966,307,388,299,742,281,659,956,308,681,711,081,266,725,037,074,879,454,986,
543,190,565,463,469,417,443,960,418,821,321,371,292,534,991,891,544,017,083,
667,835,501,311,430,717,195,567,057,296,776,988,923,499,732,401,731,015,928,
616,068,157,510,401,596,820,205,308,897,991,234,895,871,219,962,243,030,236,
124,748,178,393,449,083,577,049,095,141,096,576,062,120,209,332,163,099,392,
951,690,740,290,675,778,721,544,769,612,291,031,541,622,435,093,672,368,192,
040,484,715,048,806,240,772,528,764,409,920,655,890,504,018,440,392,153,678,
216,314,230,905,952,558,724,206,338,560,343,438,840,757,786,295,299,739,440,
220,572,275,852,183,973,307,116,656,409,900,000,181,046,398,965,113,282,564,
631,564,132,710,530,006,919,462,277,832,772,081,278,599,461,064,520,501,643,
233,058,692,927,104,217,819,983,811,409,874,767,634,250,551,635,125,702,368,
897,097,446,362,358,695,620,021,423,848,664,322,023,295,659,893,509,413,173,
951,095,585,874,592,585,421,705,573,650,018,388,599,450,561,718,644,429,632,
588,956,617,379,416,313,035,160,139,065,350,533,124,972,421,562,911,166,196,
953,798,751,217,017,035,345,181,953,336,337,972,148,043,895,723,649,348,832,
759,263,594,172,373,807,138,856,691,870,365,981,045,385,141,924,212,063,648,
286,057,169,171,471,056,658,699,296,549,261,212,497,326,074,138,103,193,925,
727,721,872,923,319,466,983,679,866,590,182,480,467,622,902,882,925,462,792,
321,176,562,606,529,764,820,316,506,655,518,337,023,306,930,160,587,627,590,
213,245,530,527,986,273,242,768,458,388,700,395,979,828,779,733,075,234,378,
604,448,575,577,545,005,084,486,343,782,932,283,892,367,693,578,598,750,308,
405,909,324,387,499,019,707,978,919,312,850,599,276,042,433,828,072,119,659,
800,862,332,051,183,807,486,697,035,731,822,789,317,528,038,282,441,499,679,
339,818,243,758,601,661,563,216,919,491,504,661,361,225,654,462,450,754,874,
193,129,691,791,969,214,487,144,424,491,362,709,970,083,143,059,792,236,494,
613,804,431,409,190,330,864,634,838,453,153,747,368,212,724,103,078,204,888,
424,137,242,392,500,483,196,288,810,189,121,063,854,003,464,439,102,763,525,
065,288,202,612,141,508,612,572,342,445,763,812,987,642,433,877,245,120,075,
168,661,390,910,031,930,998,336,063,278,067,960,040,619,559,106,773,053,980,
946,589,741,411,007,198,266,777,519,743,471,110,690,635,217,580,453,897,044,
602,282,315,813,538,815,031,574,692,740,382,276,415,522,624,582,618,175,324,
171,312,812,540,601,384,743,225,594,011,356,234,879,047,969,462,431,261,192,
696,064,946,580,281,476,375,689,975,168,309,349,710,157,891,098,632,141,703,
403,412,996,225,674,007,761,862,488,899,430,420,765,821,422,247,840,507,760,
850,380,392,722,360,118,353,734,022,255,637,294,052,426,672,462,661,827,948,
643,265,893,472,250,156,396,188,705,610,928,560,099,474,245,546,529,574,432,
915,121,954,100,772,594,086,492,461,621,474,653,356,888,433,807,141,781,523,
291,613,886,920,772,911,612,692,236,100,942,870,962,521,118,072,949,795,867,
148,921,768,094,210,392,727,126,804,067,902,220,671,042,005,233,285,889,163,
800,843,107,433,838,784,788,209,169,258,243,414,148,122,820,713,732,644,765,
639,482,411,448,866,698,354,999,154,778,086,568,512,391,796,520,341,961,845,
500,271,137,306,820,847,162,500,190,716,954,789,465,033,090,103,218,837,532,
479,209,239,591,217,621,375,570,834,363,874,826,322,858,739,741,417,114,174,
370,444,123,802,359,314,704,778,495,133,965,567,603,963,008,962,985,502,932,
321,845,015,689,643,443,839,730,320,653,747,263,845,606,752,719,054,587,625,
392,726,010,904,250,106,917,674,187,123,453,863,960,912,546,559,961,251,278,
252,547,779,625,387,887,005,881,953,268,711,378,294,598,995,927,392,416,595,
611,787,029,718,642,480,475,633,581,099,949,477,350,128,027,782,193,352,189,
167,324,494,681,930,859,212,298,614,142,455,133,846,724,583,345,242,635,901,
563,107,483,532,820,126,714,152,841,526,977,659,114,573,801,264,874,872,955,
872,323,304,099,462,584,720,722,469,882,683,625,118,399,942,433,616,721,310,
239,537,631,966,228,066,912,728,396,260,373,385,746,482,469,765,539,700,501,
060,672,718,825,872,742,687,889,460,234,436,892,044,723,746,544,904,204,475,
294,933,685,147,929,876,882,976,610,466,676,099,050,824,648,920,972,040,712,
514,310,987,946,634,371,008,090,259,056,743,639,706,328,670,811,984,553,262,
999,771,972,782,351,123,040,857,325,951,464,247,570,432,448,732,589,479,121,
187,808,552,821,727,638,094,713,695,181,475,620,018,874,621,106,827,519,358,
044,670,374,644,299,697,915,363,953,628,712,068,794,290,539,370,232,652,102,
508,730,846,335,997,595,159,747,069,657,024,638,822,064,976,979,892,080,097,
042,098,844,701,359,271,902,922,715,507,330,620,262,836,830,621,662,466,408,
413,619,092,028,114,719,199,335,385,717,019,342,530,042,301,439,856,736,020,
896,239,819,594,397,293,193,272,151,048,235,100,726,658,198,671,566,077,699,
946,154,809,506,294,842,181,192,714,372,876,364,885,003,303,370,976,569,383,
864,600,717,909,160,209,103,745,079,578,702,324,257,595,133,715,514,184,358,
987,637,704,992,316,380,241,824,881,790,182,706,610,105,365,561,048,443,240,
270,009,803,413,201,023,170,362,072,049,404,764,389,858,324,016,703,578,405,
769,539,771,942,859,669,309,148,559,827,242,711,887,484,842,540,428,103,935,
367,315,461,135,793,121,140,085,868,114,011,773,605,860,872,167,881,713,685,
252,594,115,743,882,100,611,174,750,150,433,450,679,004,048,377,948,293,275,
785,642,353,251,981,225,916,703,010,188,734,555,534,005,130,826,655,433,694,
283,403,835,701,674,622,151,979,546,963,504,089,813,174,543,279,372,046,518,
467,687,649,035,553,310,277,986,433,564,842,942,188,638,368,973,699,169,967,
272,176,705,198,792,548,010,018,855,995,736,277,158,177,137,002,335,414,412,
927,370,390,194,214,896,625,989,328,415,482,125,158,088,732,115,613,989,413,
715,287,760,533,541,814,852,475,771,117,738,601,485,668,565,892,888,439,377,
780,125,200,030,010,104,360,178,154,060,755,304,380,261,159,420,970,783,496,
541,840,419,960,916,442,828,066,748,927,279,940,893,225,318,181,984,796,838,
369,973,164,467,914,607,407,836,537,807,201,511,096,809,650,520,812,726,927,
407,566,398,573,394,408,167,951,458,729,062,068,417,579,515,222,565,063,658,
893,892,659,645,888,143,581,295,903,992,812,058,521,372,540,997,980,175,567,
588,342,984,704,854,021,478,828,309,916,590,219,699,948,158,775,490,420,707,
834,416,421,213,515,282,260,095,359,378,853,754,177,496,014,614,563,383,525,
730,975,383,849,479,521,679,460,919,382,676,174,790,281,554,907,980,127,162,
235,619,837,362,770,114,844,783,960,581,570,221,893,458,327,394,497,316,463,
750,641,439,088,204,154,983,448,465,049,753,634,338,063,143,319,068,930,821,
023,670,203,834,965,266,187,236,716,737,210,682,170,311,840,989,752,269,616,
605,657,215,269,970,245,124,240,478,624,531,659,144,489,525,771,451,224,637,
424,037,640,875,157,986,871,618,175,039,721,594,587,967,841,627,921,766,357,
288,664,968,919,701,058,158,198,588,227,070,742,578,318,411,978,870,412,837,
468,908,164,458,966,679,592,065,833,173,651,928,055,860,664,412,405,088,006,
433,147,760,812,221,789,612,081,657,285,648,322,494,600,505,889,114,273,530,
096,208,719,160,832,584,857,272,778,384,241,056,571,005,355,899,897,383,661,
184,388,173,597,463,391,907,881,980,326,741,450,332,787,037,737,417,336,604,
477,791,390,590,844,342,039,711,868,892,211,866,931,756,707,986,025,440,801,
537,621,793,870,436,434,376,327,835,628,256,398,940,261,231,027,441,156,640,
239,501,517,357,432,693,315,705,217,539,105,585,058,523,224,732,074,460,695,
538,902,996,711,446,157,534,107,583,773,183,929,562,353,250,747,437,384,980,
935,269,792,609,593,326,131,000,027,709,107,912,524,572,531,647,018,775,887,
852,720,312,039,804,850,908,667,740,972,093,844,327,032,489,952,110,617,264,
777,162,757,819,917,493,993,370,267,025,605,259,581,694,176,552,902,854,859,
498,471,345,650,596,438,283,655,893,017,627,044,512,563,849,165,505,338,508,
168,061,905,795,986,110,040,644,785,327,447,990,563,272,890,848,465,067,001,
947,692,551,393,601,709,901,854,644,608,454,530,848,301,006,770,708,958,327,
426,847,891,325,988,119,764,356,329,237,168,484,442,718,620,173,397,489,799,
189,848,847,200,475,275,754,294,747,642,306,723,177,851,674,376,861,852,922,
414,588,473,322,659,115,576,100,445,543,063,099,580,666,671,031,790,876,573,
339,828,621,438,687,399,792,561,492,793,289,049,791,699,233,421,368,038,152,
118,663,616,490,306,965,471,783,977,900,309,905,657,656,852,734,948,891,642,
866,540,499,036,087,775,532,122,749,041,433,968,767,533,600,856,625,309,221,
204,483,287,989,408,353,777,249,918,204,412,544,096,039,155,236,816,439,060,
332,172,054,124,456,067,602,434,963,495,428,098,017,836,370,886,579,487,061,
302,505,012,862,965,198,816,099,936,790,489,385,562,431,307,010,527,384,670,
371,800,539,292,574,288,875,546,702,397,477,569,429,535,008,360,734,656,896,
119,230,153,529,745,118,903,143,796,869,818,486,412,164,437,667,238,906,572,
184,680,473,886,446,746,220,285,680,821,974,664,806,477,018,266,421,820,331,
597,747,793,706,638,446,201,394,289,038,048,488,446,669,064,492,547,827,910,
603,042,820,407,178,702,301,351,824,052,094,177,107,957,200,203,096,525,844,
596,499,290,321,711,201,364,774,734,371,742,091,982,686,001,507,663,820,880,
815,284,980,015,544,130,291,097,468,575,829,648,361,448,064,604,538,773,367,
183,036,951,750,681,999,793,791,075,451,871,016,902,314,206,638,419,006,510,
370,419,250,159,000,348,103,095,043,492,815,296,013,481,016,002,905,046,353,
082,613,524,934,431,717,309,265,304,963,007,874,427,613,093,548,701,990,319,
010,444,720,005,354,401,464,321,232,852,323,861,898,955,312,906,766,233,699,
875,843,636,048,940,222,990,428,322,984,570,507,267,941,030,014,238,338,749,
660,103,643,365,984,830,860,129,068,094,640,318,082,999,560,718,396,237,559,
149,409,764,901,122,929,934,929,010,770,152,890,401,369,001,217,311,226,874,
577,845,769,616,573,312,014,605,004,933,829,410,273,025,993,490,531,213,272,
739,559,904,213,581,098,209,298,944,357,910,940,949,079,459,832,068,324,752,
425,650,461,229,532,378,056,822,767,960,505,203,975,217,450,809,890,184,402,
799,800,858,499,386,489,226,485,855,516,360,988,986,025,100,848,487,926,221,
661,349,507,208,396,826,074,828,875,975,723,262,912,089,651,098,198,861,434,
285,809,453,496,901,053,761,660,978,500,660,481,269,508,924,558,521,511,306,
108,523,392,184,997,548,023,622,336,981,028,140,864,817,791,833,719,058,541,
870,481,886,219,100,141,572,075,805,719,321,325,635,326,433,725,608,464,589,
346,175,853,780,627,594,323,168,941,384,310,496,957,904,791,404,580,247,910,
409,561,200,379,544,791,446,687,238,481,523,633,785,118,896,110,670,890,629,
685,312,649,951,337,684,866,197,306,674,909,060,650,232,991,210,527,030,871,
043,102,024,616,268,824,425,547,457,815,749,753,273,897,563,885,821,253,069,
543,102,936,765,198,915,047,835,752,331,872,711,049,409,173,481,671,946,922,
965,660,713,809,093,781,071,503,910,004,689,192,982,464,092,470,403,893,440,
618,005,512,124,033,194,399,609,844,616,327,371,539,299,915,778,443,481,881,
618,232,701,846,111,889,716,051,226,893,728,057,431,300,182,006,781,987,193,
335,309,408,025,556,562,708,784,368,594,549,112,004,518,022,686,121,988,898,
605,015,291,004,401,333,496,193,089,354,669,911,266,876,252,609,179,625,993,
499,336,064,467,916,960,015,242,827,336,932,448,294,835,422,633,155,396,083,
318,868,111,636,188,516,652,335,595,565,276,654,920,315,064,751,795,294,106,
173,003,417,934,042,610,504,095,041,167,461,291,631,318,347,745,355,884,670,
164,537,922,991,104,855,628,196,287,320,119,799,905,939,899,983,359,353,363,
435,257,396,047,396,946,548,423,485,793,409,538,336,705,705,416,946,108,608,
049,782,960,656,834,650,072,672,539,657,177,276,117,603,659,902,608,475,869,
025,146,284,451,152,010,554,632,808,383,813,558,863,242,348,817,954,054,443,
380,039,845,613,491,895,617,244,004,844,843,763,857,157,974,872,037,241,090,
439,616,821,792,796,251,819,537,935,712,637,924,672,761,932,419,274,338,891,
977,784,536,211,430,472,049,512,298,686,822,279,409,394,041,217,137,217,127,
146,985,734,271,576,852,156,654,848,199,186,186,327,059,226,076,804,403,974,
079,464,331,045,260,876,123,152,915,435,040,545,592,059,047,030,560,850,758,
589,566,128,964,542,265,432,281,368,314,068,123,017,840,392,447,324,846,243,
051,048,193,987,336,756,574,560,430,491,467,639,010,065,946,034,649,009,845,
047,092,856,006,956,864,243,137,684,519,837,435,890,364,878,181,313,530,093,
930,721,893,128,646,607,012,013,435,069,217,693,032,704,275,812,951,618,614,
788,418,716,980,043,125,302,529,165,837,383,404,508,774,808,519,659,044,417,
206,125,025,095,026,424,744,189,352,655,399,167,024,976,430,240,286,684,057,
705,469,879,275,666,585,975,633,507,573,606,079,964,011,062,637,728,861,306,
539,748,818,936,739,576,055,725,529,822,686,016,155,892,140,977,648,201,047,
791,659,029,018,045,136,005,086,846,696,346,300,782,667,656,408,701,880,685,
080,015,308,606,908,482,861,219,796,127,605,645,568,822,266,324,004,743,987,
089,387,303,803,485,569,913,081,992,361,613,254,079,068,821,139,950,570,181,
107,670,125,372,882,830,867,495,578,574,619,958,264,571,677,577,170,379,515,
684,829,854,339,287,791,766,248,408,323,081,581,988,740,021,543,565,673,723,
075,133,360,118,256,531,405,429,139,598,033,244,003,782,528,565,712,846,798,
692,568,590,947,910,143,659,107,803,435,118,667,598,981,044,154,785,007,417,
860,990,139,877,402,990,764,044,312,257,169,880,828,913,398,436,240,939,746,
223,549,038,314,547,091,642,494,178,996,969,312,700,452,512,116,411,127,985,
832,028,450,289,463,190,724,235,113,656,794,343,435,967,809,119,119,569,084,
639,743,500,142,604,525,877,361,626,499,992,776,077,068,333,909,092,680,615,
825,155,520,329,072,793,296,312,626,544,283,069,918,401,550,356,088,139,512,
426,644,647,627,637,754,120,702,423,497,641,027,843,724,190,671,175,574,319,
973,248,757,781,788,001,707,815,496,950,014,528,989,154,028,736,604,591,783,
934,699,049,392,216,532,698,711,747,533,504,088,993,961,154,168,948,335,211,
566,174,802,588,622,884,832,026,786,546,636,261,626,215,955,639,360,719,601,
691,165,053,033,995,146,013,238,055,457,828,748,762,875,137,291,149,740,098,
652,909,135,881,242,153,724,913,182,860,480,396,726,416,563,997,122,511,812,
229,750,374,497,728,643,251,887,493,360,379,976,856,551,108,533,793,428,036,
499,320,763,840,761,207,988,646,174,542,096,572,789,655,239,777,715,238,852,
467,875,158,435,070,281,728,554,162,866,712,022,898,701,405,045,137,927,920,
190,302,412,741,493,047,889,952,498,046,004,289,679,624,305,171,965,789,231,
894,187,194,613,104,014,957,867,758,322,316,658,756,671,603,688,703,897,811,
431,186,241,351,806,270,245,478,495,782,842,050,333,093,235,038,944,486,315,
339,131,441,218,234,342,005,024,317,110,536,834,773,787,583,137,187,564,466,
249,169,752,181,910,854,157,355,457,984,956,503,734,322,442,643,379,322,347,
221,665,388,036,773,619,883,883,828,138,266,763,817,359,399,821,947,346,980,
321,471,070,642,336,320,992,497,201,633,160,003,648,803,413,979,530,381,888,
318,916,593,757,223,900,050,378,559,604,669,457,947,442,701,761,594,095,050,
925,127,651,160,095,001,572,525,185,025,460,104,881,359,144,517,133,474,865,
017,671,485,633,912,161,438,718,758,534,806,585,618,381,887,016,058,887,497,
814,135,583,449,100,268,082,881,692,592,666,634,004,957,086,166,338,972,206,
934,703,150,804,857,396,034,406,782,635,166,024,007,914,743,970,142,684,008,
389,360,679,604,755,668,395,047,755,672,213,661,453,801,316,351,240,149,151,
980,325,125,932,077,614,570,333,241,428,288,320,449,564,369,592,750,537,206,
657,607,313,213,582,894,585,147,774,060,073,437,357,272,271,942,727,691,224,
980,461,403,100,874,176,183,478,356,608,292,380,525,585,581,415,312,286,721,
764,298,469,478,306,375,363,468,308,617,211,757,325,019,118,874,666,260,783,
530,420,831,703,567,284,338,290,003,855,620,432,419,972,755,281,350,044,737,
838,788,970,005,194,389,299,578,855,489,290,823,608,544,526,050,168,071,143,
599,549,707,054,036,339,884,513,583,890,210,349,953,639,690,178,019,568,584,
195,285,712,567,585,768,280,807,039,363,207,265,135,284,429,664,445,291,781,
881,174,522,068,573,711,188,793,552,650,229,511,482,927,073,030,574,002,265,
260,856,281,843,736,430,381,986,690,449,389,275,788,842,345,325,271,901,831,
767,384,407,748,639,167,620,861,974,750,468,318,459,226,467,326,883,753,780,
493,681,990,842,659,793,528,070,398,909,730,957,892,902,036,667,488,398,840,
684,314,905,374,905,708,508,486,165,969,962,815,038,560,976,815,281,658,181,
186,820,717,709,340,217,527,888,137,909,449,412,701,660,421,821,259,675,752,
711,843,257,942,254,663,776,852,086,225,076,124,841,164,168,289,183,588,336,
079,070,290,694,152,540,670,085,144,795,299,569,290,306,453,507,257,764,410,
203,069,908,904,417,915,953,110,541,986,403,073,145,166,353,814,828,290,128,
639,514,294,771,540,145,070,344,863,104,066,896,211,357,610,172,863,111,214,
904,766,891,024,655,882,214,694,941,982,833,826,787,206,644,164,308,682,592,
411,580,643,270,038,504,628,421,207,471,455,145,783,957,683,827,774,519,093,
471,861,867,872,417,886,553,573,761,949,791,344,379,779,063,493,069,570,189,
319,786,955,704,994,647,132,367,785,001,567,792,197,269,746,351,155,514,255,
534,744,559,333,839,779,977,928,350,987,282,973,857,652,328,590,899,510,835,
176,203,807,337,777,069,686,278,867,116,570,571,959,755,190,511,573,821,769,
038,248,202,773,487,940,259,749,662,885,664,876,662,225,973,073,995,683,301,
891,564,177,530,586,221,028,444,469,678,063,274,944,015,871,678,454,871,074,
010,643,266,291,788,078,334,622,320,283,722,147,233,018,430,714,549,987,020,
446,096,551,980,270,755,638,413,420,676,836,434,052,447,417,204,203,502,252,
021,275,511,413,859,510,949,730,859,034,999,150,615,031,755,274,982,503,204,
956,088,592,615,470,367,174,892,499,079,910,435,576,035,792,051,337,954,758,
201,375,445,371,473,421,721,923,750,317,391,988,466,871,503,847,605,293,004,
909,965,051,462,079,058,009,727,430,065,137,523,110,120,056,781,221,445,861,
070,860,417,761,380,634,902,194,489,057,617,093,753,521,559,468,067,030,077,
048,681,871,531,625,780,240,811,373,678,614,856,032,167,066,583,212,314,671,
669,560,351,696,865,958,584,895,643,034,833,827,662,868,860,945,452,579,127,
694,920,003,621,587,908,362,832,942,544,032,423,733,382,133,047,084,772,409,
837,188,314,718,399,293,197,728,582,270,226,190,493,934,903,348,338,144,856,
723,432,905,801,527,416,939,319,196,723,377,078,093,298,671,959,311,774,409,
839,991,575,882,839,374,880,431,463,803,188,544,841,961,825,403,553,092,227,
208,459,439,011,529,152,921,427,314,148,404,559,070,576,227,640,906,012,036,
517,052,338,403,114,819,270,782,862,571,808,506,186,480,121,108,777,795,159,
728,833,641,822,264,608,872,780,455,395,351,638,652,308,505,858,470,288,461,
226,065,705,959,048,857,826,350,299,564,032,593,302,521,224,138,379,388,184,
966,611,388,714,191,429,469,919,760,100,921,268,617,307,405,231,702,067,015,
880,594,554,743,354,456,861,792,002,658,276,968,746,581,697,305,305,435,168,
499,671,709,702,949,031,471,079,901,068,642,326,625,030,180,922,642,001,772,
233,124,105,887,734,718,489,368,527,954,093,158,948,134,590,775,341,616,170,
173,937,824,971,200,175,757,275,683,236,339,470,923,098,014,472,945,171,554,
036,228,116,129,107,485,834,585,112,072,903,525,496,721,618,034,939,733,301,
169,525,926,657,335,623,176,593,339,246,496,362,846,760,446,313,248,925,982,
794,538,705,676,736,152,436,695,635,091,846,518,939,578,737,083,301,772,312,
203,251,553,915,609,977,218,290,002,316,946,345,421,876,086,094,585,247,580,
850,597,141,448,560,268,090,038,561,140,220,060,681,645,896,483,578,547,200,
815,759,386,469,350,682,595,198,152,276,232,728,382,145,236,459,083,249,448,
326,238,855,382,304,831,268,919,149,088,414,467,157,845,399,481,883,370,646,
917,659,166,811,684,196,803,588,281,669,000,282,969,037,742,591,747,019,215,
760,616,434,412,086,646,463,803,673,243,896,959,920,279,750,238,711,147,425,
859,776,171,456,844,772,093,871,588,905,419,057,979,847,894,250,850,122,189,
382,410,222,976,298,932,896,766,118,912,222,718,335,848,199,247,023,641,586,
682,053,857,270,609,235,002,301,961,753,152,915,621,111,256,356,439,630,230,
259,976,709,329,546,644,483,723,442,638,308,593,858,546,879,655,082,490,055,
676,796,264,419,511,449,007,448,590,060,967,253,441,529,377,530,321,206,694,
083,449,410,296,932,606,257,681,994,912,411,166,026,383,096,881,557,019,564,
036,430,295,509,421,581,630,295,881,590,705,163,389,866,108,224,797,466,769,
870,662,257,172,483,416,050,473,161,186,945,216,154,578,064,436,445,077,888,
567,537,261,997,226,395,196,315,729,011,762,831,595,284,001,482,468,981,330,
991,910,231,895,681,740,743,440,339,604,212,531,097,208,454,473,573,217,439,
498,719,062,850,172,040,341,672,267,558,621,411,245,482,086,957,877,942,152,
608,745,720,811,050,594,927,990,002,077,152,204,870,032,990,081,096,160,983,
735,246,900,469,499,889,877,660,802,295,018,903,063,167,988,285,107,473,962,
091,847,197,643,977,895,894,267,665,696,650,551,515,653,310,662,747,997,212,
835,042,879,914,116,102,544,030,576,410,180,492,658,179,723,338,890,675,093,
431,135,630,395,780,404,448,394,676,704,927,735,037,548,465,813,773,017,492,
336,580,912,092,297,296,778,864,325,444,946,199,839,852,342,364,636,371,393,
464,522,274,065,560,615,185,257,848,980,449,324,934,029,320,889,736,347,379,
700,959,340,838,299,542,232,001,890,954,808,127,626,625,144,102,602,549,470,
309,374,080,520,986,013,389,353,845,284,085,198,057,608,381,458,271,001,014,
561,045,274,773,106,114,702,091,522,818,236,043,932,088,395,502,949,121,865,
725,209,079,167,025,165,459,378,963,610,905,995,515,633,204,415,808,155,750,
176,173,932,237,479,017,348,072,033,814,447,114,377,962,288,449,597,924,843,
922,665,420,822,151,961,686,765,491,553,803,536,761,464,796,337,463,150,200,
006,241,349,481,785,407,013,723,875,863,617,312,940,204,844,376,262,292,243,
369,075,736,593,574,524,992,561,286,868,505,399,999,271,463,105,914,776,244,
515,278,982,393,203,609,873,461,204,330,218,685,989,218,480,938,761,293,100,
418,927,898,182,676,970,439,744,340,055,759,112,518,608,646,192,327,855,443,
828,474,099,519,719,559,265,159,534,210,081,853,303,366,907,374,649,639,919,
531,933,857,638,460,830,999,256,681,371,719,884,568,910,397,501,791,623,064,
343,292,768,528,803,816,893,179,891,614,339,080,894,789,956,526,493,288,340,
868,000,886,314,753,802,302,811,621,743,060,046,782,163,627,663,943,653,680,
663,142,272,554,569,045,871,675,084,987,491,327,341,324,094,601,210,152,692,
909,003,910,183,555,586,439,813,688,519,688,014,763,703,658,492,366,314,875,
007,353,509,805,779,247,429,482,712,336,712,751,051,290,815,787,486,100,706,
638,601,692,116,558,701,991,974,829,581,814,528,384,635,396,764,892,811,767,
404,092,274,810,608,705,086,525,816,414,339,052,062,300,620,691,075,909,267,
185,205,727,744,548,837,698,072,237,851,590,774,420,961,949,133,118,414,493,
601,350,904,607,288,107,480,633,833,112,072,667,942,966,044,938,617,650,730,
641,001,104,897,326,556,971,451,111,093,684,815,896,279,541,049,038,057,097,
843,938,669,618,593,798,668,894,944,708,058,419,802,827,340,976,507,758,349,
190,204,264,094,441,620,783,257,038,372,157,245,817,705,559,362,756,104,913,
616,874,229,853,844,070,529,315,386,345,765,519,827,710,940,911,561,035,372,
890,310,318,005,314,063,955,132,108,468,343,443,643,489,062,405,200,983,750,
732,341,374,830,708,771,763,796,326,233,082,322,670,343,697,998,514,479,303,
730,683,930,651,536,134,744,761,496,901,698,402,923,136,212,753,181,706,299,
218,864,313,267,730,894,258,516,559,769,958,824,301,461,631,958,879,298,375,
248,848,553,126,269,042,138,598,433,734,574,391,969,801,354,329,631,965,401,
314,329,357,955,418,975,562,697,526,584,350,303,674,541,041,079,587,504,057,
407,482,609,625,532,759,127,176,406,904,118,219,153,668,672,632,888,816,383,
500,660,130,975,000,691,584,201,446,452,552,627,148,537,382,711,944,881,632,
725,203,421,605,701,284,701,280,849,492,244,675,521,946,337,460,762,996,592,
667,030,062,423,937,335,119,158,564,735,635,278,978,154,964,284,097,926,928,
207,261,696,365,034,428,926,363,840,524,178,043,378,027,467,839,349,896,116,
942,229,642,443,512,978,637,449,789,875,068,041,536,371,628,325,505,070,155,
056,516,037,682,801,735,327,889,503,649,555,656,701,160,842,739,968,400,558,
461,425,082,028,886,511,209,293,638,157,908,659,054,461,936,347,010,684,030,
835,774,978,091,507,223,432,805,026,134,669,904,273,878,889,479,309,873,716,
772,786,416,512,669,599,583,505,658,808,867,614,101,522,224,362,815,681,132,
644,597,357,916,053,052,755,640,218,544,592,959,396,229,739,096,870,242,756,
357,192,993,487,511,948,567,955,411,746,987,439,053,425,321,657,018,651,954,
346,786,570,649,273,991,934,995,511,015,400,192,485,314,969,498,514,010,678,
884,025,147,157,242,460,050,228,583,985,742,044,379,092,440,650,907,735,089,
060,539,354,687,229,680,258,553,047,793,443,033,851,805,435,803,154,219,462,
278,572,143,840,080,010,062,359,355,715,779,930,968,075,885,444,993,638,822,
506,780,843,646,000,702,405,429,305,155,418,650,248,958,110,700,564,466,152,
269,640,428,797,263,802,949,476,328,453,326,581,817,726,767,049,748,690,600,
708,165,338,990,001,597,369,056,922,188,470,302,977,409,939,935,769,493,235,
556,812,051,125,106,419,453,321,932,225,679,607,246,480,597,536,681,516,439,
530,945,231,973,003,346,997,701,943,333,726,621,342,358,606,215,680,142,182,
969,216,672,824,811,605,187,127,206,783,221,147,138,835,103,654,198,470,995,
048,204,540,406,294,011,896,926,093,834,444,335,707,970,797,896,816,354,439,
823,973,676,116,490,985,490,149,879,846,233,626,540,698,482,488,099,740,676,
333,892,523,814,851,009,470,263,799,947,486,728,056,460,388,499,407,690,563,
425,873,875,508,845,171,906,694,374,981,504,897,447,102,718,274,894,264,054,
419,404,983,606,324,070,181,779,575,224,658,766,358,378,698,786,976,354,912,
213,336,738,089,369,448,802,174,097,134,461,543,082,141,443,502,028,305,144,
195,874,534,896,546,498,806,775,991,850,865,527,327,021,229,341,402,393,418,
730,102,334,706,667,193,507,406,058,660,656,985,164,286,994,567,571,295,635,
541,569,678,527,040,171,658,993,097,081,281,089,509,814,858,125,767,636,493,
818,522,271,719,860,928,395,281,144,865,431,178,329,431,424,930,963,948,637,
986,612,850,348,253,860,889,848,108,217,406,758,417,456,222,119,576,284,872,
541,964,014,073,240,872,409,818,562,392,316,612,655,278,222,601,930,533,746,
673,773,623,609,893,203,623,037,670,104,058,162,316,138,166,253,974,767,694,
161,010,802,763,377,702,272,237,883,225,057,542,001,095,409,383,394,609,024,
746,454,260,558,542,876,274,707,074,952,032,993,229,606,634,043,013,508,892,
153,557,940,258,617,188,639,536,097,725,413,554,648,607,887,036,688,181,920,
106,508,233,103,290,882,208,425,807,401,461,764,867,672,240,322,839,324,974,
518,745,113,494,136,653,022,483,958,050,276,369,265,440,776,234,452,936,490,
877,555,355,354,638,497,217,235,831,895,433,604,311,689,817,016,215,004,733,
793,591,774,270,404,935,333,680,545,752,834,681,500,741,813,174,017,357,901,
686,670,195,490,072,723,602,994,441,149,519,461,186,467,189,055,147,661,029,
673,387,197,222,804,427,132,877,275,346,800,630,146,066,015,106,813,042,170,
614,779,512,081,676,668,634,400,438,524,036,710,677,272,113,224,823,940,974,
647,682,548,780,773,501,756,783,928,741,198,309,032,222,365,086,728,644,635,
253,867,955,841,149,108,560,870,766,114,418,917,850,695,003,559,872,450,858,
989,505,485,010,694,894,833,666,267,410,021,877,247,113,419,030,683,156,083,
213,595,836,611,705,172,612,812,007,891,849,370,580,590,335,453,331,294,687,
495,867,470,725,177,677,269,174,022,171,823,718,982,786,475,972,780,822,675,
526,086,127,149,595,088,160,519,124,996,545,814,944,895,757,973,413,482,273,
185,369,689,854,816,545,137,620,225,797,961,764,521,981,141,030,149,422,860,
108,721,920,179,294,021,066,347,945,062,894,927,946,892,944,971,407,408,844,
098,596,988,841,667,407,619,352,331,247,939,514,749,793,331,889,712,748,683,
101,967,410,204,917,373,054,208,893,226,294,411,541,877,584,923,030,607,523,
061,581,422,458,475,047,814,754,380,404,866,104,565,199,990,791,660,619,776,
321,921,555,219,194,171,513,976,734,058,264,599,576,093,718,044,715,173,699,
468,981,475,610,009,833,038,859,216,485,435,247,573,190,564,193,758,291,408,
315,311,583,985,059,937,393,996,017,821,311,481,248,285,712,180,226,807,436,
170,696,185,626,716,613,140,494,428,112,409,130,703,087,001,840,012,209,825,
736,850,270,450,419,019,300,014,946,837,765,016,552,851,075,600,193,329,532,
812,654,265,597,090,257,403,044,973,213,594,614,833,035,477,215,575,504,207,
325,474,563,047,732,128,457,723,853,304,691,770,568,557,240,765,123,392,515,
492,801,700,281,665,340,657,251,862,057,468,204,481,035,056,005,257,509,047,
999,018,298,819,579,517,343,309,652,219,279,368,726,011,525,486,007,489,494,
500,388,237,486,793,743,817,220,641,611,728,509,118,501,337,636,429,308,909,
236,442,558,600,266,224,510,058,722,667,427,275,618,039,225,264,524,358,699,
255,747,445,066,376,676,530,652,242,014,251,808,286,575,421,104,568,934,735,
797,833,386,460,811,050,092,461,896,338,511,769,053,881,490,619,791,170,791,
568,226,802,597,966,976,928,962,886,147,489,983,788,215,410,424,809,480,395,
676,338,452,478,347,124,893,686,635,908,291,996,475,657,623,911,184,677,661,
759,914,631,802,681,185,189,767,500,428,158,094,466,735,375,662,877,334,637,
988,097,963,041,863,267,191,654,355,556,118,809,081,866,837,863,627,454,596,
912,345,369,544,765,603,978,408,650,309,459,748,438,190,031,671,829,050,195,
596,963,617,021,624,598,598,068,702,085,649,236,170,462,268,964,542,534,103,
000,924,244,124,490,993,189,648,744,650,841,377,692,183,876,825,565,961,348,
599,038,298,103,229,364,260,109,364,265,782,361,725,611,519,368,047,013,438,
845,156,238,444,229,294,373,487,058,705,397,722,360,947,015,595,140,463,772,
017,883,033,318,416,494,159,779,397,659,802,085,208,787,471,493,832,866,817,
326,689,679,545,957,618,190,583,266,592,111,388,728,101,717,764,924,046,628,
951,383,175,664,255,529,461,972,070,691,226,887,280,285,608,573,586,439,341,
197,177,702,887,405,925,142,938,428,134,185,461,031,870,731,623,423,465,303,
066,846,241,508,652,851,697,095,106,048,909,213,547,500,771,869,350,098,047,
117,878,808,657,085,044,952,867,560,364,982,569,657,196,646,505,592,759,899,
862,486,374,655,247,377,176,344,611,113,604,971,928,290,474,748,166,701,594,
054,901,429,095,742,578,240,093,894,321,077,272,649,951,600,016,425,201,251,
728,254,086,498,832,760,967,925,407,721,841,487,179,519,953,463,057,461,968,
723,951,447,830,740,700,025,769,786,175,258,205,552,028,422,663,158,527,284,
103,572,063,577,257,354,921,508,640,313,168,037,066,499,826,027,785,088,857,
845,553,438,981,289,224,638,415,371,393,034,326,004,364,822,215,865,437,811,
275,144,396,812,268,913,137,574,332,087,084,608,981,512,621,576,630,019,524,
688,464,421,567,585,375,685,311,364,942,165,377,875,661,862,534,519,951,585,
513,698,566,933,181,420,595,861,612,085,271,558,111,171,350,299,854,372,797,
242,099,508,991,636,674,308,116,215,805,330,813,394,744,063,021,456,249,534,
127,736,191,515,881,363,189,608,222,709,621,778,770,613,280,526,187,723,845,
293,072,121,783,000,974,455,598,361,385,524,333,970,203,656,885,668,451,562,
163,447,245,182,636,994,704,735,306,421,771,788,393,910,878,606,077,104,157,
194,631,991,936,653,382,520,665,044,812,933,427,191,170,862,514,050,609,403,
015,590,711,680,165,074,201,873,576,424,881,263,734,284,690,976,138,617,106,
935,902,604,669,548,261,426,839,725,801,735,643,653,182,011,742,541,721,851,
878,580,212,333,582,992,691,620,365,497,541,681,195,658,859,203,350,570,064,
938,683,349,988,855,349,873,148,156,286,049,590,816,857,677,764,761,790,602,
412,438,881,377,099,173,236,977,551,414,667,320,100,591,580,736,086,741,620,
962,764,508,141,549,710,524,106,690,951,740,084,524,915,455,806,582,013,170,
844,771,734,901,540,860,521,928,531,241,102,645,784,027,156,505,090,428,687,
293,650,893,118,225,226,082,428,230,338,029,894,378,917,466,730,762,877,488,
015,196,575,046,294,552,003,696,420,199,259,083,688,920,163,689,161,073,630,
195,222,920,727,045,361,241,098,852,652,773,801,400,182,415,008,213,505,117,
067,434,958,358,753,868,220,939,873,136,849,582,626,361,918,865,447,887,086,
374,866,044,283,426,624,864,788,154,808,111,236,049,583,812,829,564,254,542,
042,241,117,885,706,469,297,845,692,742,171,576,533,671,094,400,206,010,081,
763,808,886,619,671,869,468,981,536,306,768,219,316,969,661,185,062,758,460,
324,545,837,873,525,119,193,707,625,233,768,351,822,451,910,830,893,693,706,
064,115,839,501,103,326,901,895,232,962,277,196,283,837,370,116,275,627,510,
761,786,254,829,530,963,962,853,010,194,011,181,072,952,128,300,537,771,777,
223,053,858,020,637,335,085,004,416,208,058,192,956,837,866,666,544,958,918,
102,328,226,959,822,112,565,644,014,577,730,400,390,656,508,087,688,683,387,
141,286,650,212,094,691,903,406,404,495,848,531,683,055,763,101,860,991,732,
936,805,342,828,598,306,437,381,367,407,418,067,915,936,362,932,826,679,963,
279,311,956,483,450,489,646,150,038,175,648,627,402,345,520,278,199,653,193,
778,287,337,303,643,321,592,738,387,944,399,817,106,039,350,307,594,986,453,
267,210,472,391,865,557,968,601,097,017,989,396,395,263,634,483,270,194,193,
682,084,246,423,435,814,676,234,741,660,903,998,874,284,436,137,431,830,380,
581,825,724,144,917,516,108,468,503,881,962,007,849,246,269,731,045,065,675,
762,637,860,693,940,870,352,808,125,940,986,544,596,632,576,399,873,552,098,
373,129,705,674,353,439,489,569,838,794,899,875,672,234,906,395,835,129,708,
558,323,650,241,478,018,222,911,366,204,085,578,707,215,982,177,551,529,031,
354,833,456,566,464,218,350,129,105,337,724,544,118,583,854,892,512,424,354,
491,843,061,064,673,011,241,145,141,549,517,147,923,496,927,014,215,369,786,
332,404,443,362,896,768,012,691,540,115,844,997,113,641,357,691,729,951,406,
538,786,145,396,782,985,365,798,337,886,939,456,701,378,434,177,026,566,132,
715,000,941,838,698,187,986,185,825,302,270,050,927,164,743,720,128,750,795,
483,248,768,135,188,103,168,710,964,085,475,485,737,988,527,273,104,922,763,
956,660,049,182,931,619,513,438,636,680,349,606,585,799,852,195,420,606,063,
011,700,847,703,823,469,565,463,491,151,015,869,789,770,140,620,730,003,658,
901,144,302,230,237,288,925,885,699,581,526,371,510,630,745,599,430,737,861,
479,686,292,367,175,178,679,766,138,050,293,707,553,366,502,538,348,163,329,
088,482,333,872,574,480,117,944,351,038,060,311,357,956,953,217,741,258,310,
212,962,851,588,760,345,423,156,535,951,787,778,617,640,745,742,583,366,948,
421,503,361,375,207,019,901,212,818,273,922,658,056,790,854,068,473,406,603,
221,554,726,355,484,837,858,644,668,129,762,835,421,957,923,724,671,231,351,
708,733,789,320,061,102,752,847,271,211,790,705,922,134,238,703,305,166,794,
191,762,735,035,684,803,364,241,478,444,674,771,312,484,106,151,981,543,665,
908,171,567,536,773,130,516,599,263,455,758,924,443,975,865,248,461,988,659,
728,586,223,067,419,654,551,754,098,405,327,048,385,760,688,030,846,929,867,
948,619,363,608,779,416,593,634,076,539,243,453,745,028,233,961,685,550,618,
102,617,643,088,997,262,166,336,499,312,649,727,782,389,601,187,155,455,065,
072,773,947,417,038,398,625,538,630,641,550,792,085,370,940,615,469,732,272,
507,983,790,767,054,631,868,998,773,245,599,142,654,960,627,734,476,742,776,
395,391,549,751,030,523,531,966,124,666,369,600,972,887,049,099,036,748,304,
624,812,732,254,119,606,546,301,306,265,529,265,126,582,705,726,367,850,093,
786,107,072,304,547,348,912,528,820,863,469,257,257,771,636,521,749,788,656,
659,289,550,274,108,862,902,129,465,601,235,597,729,639,669,496,770,956,561,
826,607,504,137,712,481,231,131,808,572,535,697,574,841,679,687,863,881,382,
010,047,740,754,469,119,789,155,067,490,203,083,314,885,472,496,244,798,963,
848,669,108,721,731,945,678,820,545,769,411,212,992,013,293,333,096,428,165,
725,780,068,801,116,895,572,591,365,739,418,868,602,932,137,447,565,107,191,
552,925,903,962,686,819,282,697,271,489,556,911,299,909,954,704,732,551,030,
528,082,962,238,252,672,555,936,943,710,591,541,173,907,264,940,364,801,774,
391,069,863,756,306,904,305,708,107,087,795,452,631,092,718,312,343,323,740,
220,894,811,793,145,829,980,221,632,161,033,649,847,769,562,015,735,932,170,
520,521,075,699,346,575,345,271,699,941,879,202,278,098,537,210,538,190,390,
377,319,119,727,972,789,832,238,336,828,505,350,762,586,316,856,743,367,115,
124,862,815,586,833,730,912,974,994,120,688,536,683,074,812,983,731,759,479,
368,038,092,830,819,261,618,300,247,691,796,757,668,004,616,628,243,747,702,
575,401,935,621,295,337,779,328,687,414,950,906,272,344,847,384,033,767,655,
501,144,863,231,993,945,971,197,168,881,105,801,793,027,307,845,297,244,227,
213,231,598,546,075,530,346,246,958,496,191,999,448,905,668,614,712,504,732,
932,902,765,996,010,905,474,060,938,767,524,185,274,224,555,900,919,301,951,
212,793,150,825,261,202,273,768,265,452,136,745,996,406,966,181,970,881,493,
682,243,492,121,421,999,957,357,898,793,897,889,529,110,177,862,111,019,262,
785,142,993,102,346,925,469,314,594,827,038,853,042,108,719,221,623,744,649,
407,679,387,835,540,326,088,180,737,610,280,616,232,379,961,397,947,289,781,
616,219,536,801,143,413,505,014,915,860,555,834,271,030,050,110,573,909,915,
146,876,530,362,856,639,507,468,905,631,380,487,608,163,241,333,990,417,562,
904,050,610,835,087,176,844,160,206,588,342,073,445,289,849,832,168,861,372,
670,640,947,497,733,982,632,393,254,382,399,738,807,129,429,134,861,217,775,
086,163,312,580,123,168,169,980,644,946,197,726,294,080,035,026,954,585,873,
790,638,450,622,420,233,385,301,657,628,123,289,558,977,678,503,343,312,462,
210,731,943,633,047,221,106,909,539,644,993,657,227,904,001,241,011,117,002,
289,714,727,989,149,675,999,312,370,860,826,921,154,766,128,102,967,037,443,
700,950,387,834,257,764,627,797,052,252,502,784,873,978,215,934,605,519,340,
071,246,527,976,234,806,812,679,335,139,999,564,425,411,433,272,548,973,267,
498,739,487,463,862,646,445,175,002,852,956,394,124,580,397,002,245,117,360,
949,146,899,653,746,126,733,924,201,012,217,321,004,161,668,322,486,167,685,
796,791,248,097,482,539,257,734,143,371,413,864,596,187,507,267,655,281,598,
778,255,716,688,792,656,466,507,840,334,209,381,568,806,297,719,003,824,122,
206,143,308,906,850,596,929,343,157,619,983,927,734,934,699,744,243,498,588,
001,202,438,807,461,256,984,750,731,741,179,791,596,872,048,454,046,183,549,
984,664,490,243,046,032,375,733,802,914,338,314,808,970,182,871,484,714,666,
754,194,830,294,199,499,168,977,040,509,782,095,584,143,802,013,712,227,835,
419,726,234,288,502,395,138,287,791,547,165,615,091,382,442,127,633,094,843,
422,951,676,698,077,139,565,670,914,723,596,488,154,674,313,978,871,872,522,
759,906,634,708,059,220,716,600,902,482,009,669,288,108,148,057,933,498,058,
212,542,830,091,180,813,359,449,409,172,193,962,635,029,733,964,003,278,961,
718,452,687,541,089,899,492,519,008,809,763,116,628,183,749,393,881,403,581,
088,194,544,001,362,737,784,982,591,825,930,879,131,875,329,497,138,425,330,
414,355,783,476,982,915,224,492,935,303,402,220,793,055,215,934,820,653,521,
771,339,162,205,860,938,970,097,321,829,461,965,298,074,187,315,057,864,858,
058,851,541,877,947,751,968,769,937,076,161,298,289,804,579,410,930,277,688,
073,644,560,812,705,505,826,193,809,414,157,211,776,100,108,175,255,006,681,
766,082,394,284,259,471,182,397,275,938,553,286,245,396,520,795,112,144,336,
659,720,039,124,024,194,747,784,462,041,100,111,979,670,703,641,643,498,236,
989,458,589,245,132,875,427,306,173,067,812,065,292,604,188,632,964,199,125,
284,467,074,877,068,238,260,747,711,442,177,736,452,804,813,044,967,110,663,
701,561,698,912,015,816,650,702,316,243,251,006,425,581,459,457,386,932,842,
984,512,130,114,574,875,751,802,695,276,624,537,890,077,825,054,011,058,593,
070,785,958,994,371,762,903,735,725,880,474,436,046,242,145,382,024,703,616,
967,236,926,824,890,863,799,190,409,879,480,553,962,933,868,577,427,482,206,
150,383,159,711,986,033,189,244,524,419,288,664,145,779,182,315,075,936,110,
088,711,151,919,100,336,887,652,044,135,997,637,932,235,312,166,319,288,979,
983,397,612,141,353,459,545,529,392,370,445,395,570,953,965,443,244,414,526,
208,665,200,003,089,659,392,350,639,350,647,848,431,225,799,849,019,276,571,
933,772,020,356,621,372,114,531,637,324,946,719,883,651,208,017,554,604,478,
855,918,086,782,337,185,496,051,193,367,938,819,686,369,605,977,868,314,958,
060,635,323,295,371,187,605,438,771,216,716,366,153,030,772,841,987,312,085,
957,133,674,961,150,651,271,436,583,340,112,667,935,805,685,492,490,140,292,
405,353,012,606,099,280,253,897,683,191,176,322,439,980,224,300,356,167,811,
924,889,811,082,683,300,302,081,113,580,585,442,434,456,510,219,372,939,172,
243,153,595,131,287,326,808,027,051,929,320,203,697,434,695,957,357,450,311,
151,980,860,146,304,734,286,429,430,006,124,937,466,441,758,872,878,303,710,
624,421,138,468,789,662,502,961,325,313,302,443,255,966,521,647,502,217,749,
777,868,577,523,804,574,474,215,035,234,705,046,867,482,116,720,977,173,502,
585,660,976,607,088,588,509,198,365,984,940,935,433,138,116,144,178,156,517,
938,826,388,286,841,039,980,337,504,401,333,869,897,585,165,778,459,488,072,
109,354,737,489,332,502,405,515,072,178,009,675,061,796,498,549,455,048,991,
430,465,180,338,993,286,535,777,728,045,881,253,246,052,981,970,010,053,610,
888,520,177,323,905,759,358,531,307,693,585,211,945,111,091,729,230,112,228,
893,944,061,323,007,764,429,797,899,273,939,173,751,759,977,050,394,141,910,
915,534,484,226,168,883,124,201,628,092,639,043,850,827,652,744,240,242,872,
954,272,588,973,815,891,326,427,380,174,509,556,590,731,604,929,664,670,938,
126,242,098,632,457,411,711,743,453,884,640,588,646,640,094,114,404,149,387,
831,195,272,252,235,753,617,660,751,743,329,388,185,869,979,465,481,355,709,
989,645,760,582,211,819,182,369,016,109,789,853,468,447,416,922,340,359,017,
672,178,784,733,637,203,572,424,138,631,141,087,859,333,987,521,524,763,304,
931,841,408,290,009,335,290,094,333,623,342,421,576,569,019,739,055,380,697,
922,131,565,795,207,034,682,076,103,527,222,039,057,211,760,835,086,801,335,
301,579,242,110,596,375,176,035,696,323,225,364,828,917,742,855,906,543,637,
567,784,867,169,733,902,064,402,121,186,628,968,485,592,041,186,380,074,581,
780,414,304,810,785,260,232,827,782,777,806,271,168,778,347,790,643,062,304,
769,503,006,760,388,216,863,910,883,841,616,221,848,681,944,066,419,522,806,
948,761,717,548,587,643,498,209,911,871,800,419,805,891,122,780,187,041,630,
698,235,874,653,576,408,130,934,988,602,300,159,493,543,752,668,298,835,079,
601,493,666,570,541,700,701,159,923,121,641,452,206,192,327,172,196,721,308,
007,692,946,939,811,935,573,975,071,406,713,275,723,950,021,264,601,729,251,
428,420,271,617,302,900,707,368,751,142,061,067,891,750,120,274,470,330,095,
747,632,393,658,146,709,501,842,877,698,111,554,390,766,104,416,409,260,922,
349,203,029,209,988,493,769,930,567,399,986,374,991,331,027,237,051,278,016,
413,786,630,761,298,640,932,158,115,431,163,748,589,511,004,253,625,920,498,
590,919,295,016,896,411,436,441,456,454,168,674,602,199,918,407,655,303,110,
215,642,732,017,515,736,792,783,043,344,216,457,696,411,945,017,316,354,006,
656,315,005,606,003,029,070,564,825,044,103,391,625,340,732,722,755,685,903,
290,848,336,213,607,604,187,018,720,970,576,137,784,068,021,839,718,788,427,
093,247,250,273,494,957,687,742,349,612,412,559,851,870,913,111,625,397,251,
964,303,422,069,357,536,300,823,084,520,549,563,285,395,632,204,453,908,282,
502,067,838,641,881,417,420,057,487,115,502,282,503,166,273,009,019,342,946,
236,616,821,577,606,793,049,831,008,452,441,916,448,903,518,213,839,001,031,
062,455,024,636,305,959,821,359,608,194,409,575,659,348,398,404,104,579,200,
846,591,669,305,220,662,738,489,263,386,414,492,152,262,333,591,344,587,026,
347,307,712,056,717,226,911,048,363,571,066,762,954,816,804,756,098,345,789,
796,505,209,081,299,363,754,145,107,630,885,341,098,848,693,447,802,265,442,
099,421,475,061,224,891,123,118,170,465,379,355,095,107,890,599,488,753,096,
668,252,550,250,637,923,040,262,258,035,290,700,588,145,191,280,645,632,592,
765,381,659,815,259,722,755,891,329,247,859,302,721,341,841,714,852,259,102,
192,314,277,794,809,491,140,145,848,025,206,003,525,697,722,280,851,424,225,
035,020,873,181,144,066,643,327,684,665,763,877,432,362,034,300,481,446,544,
888,353,285,836,848,790,416,075,094,134,062,179,276,790,954,589,722,593,085,
166,681,801,659,303,008,111,853,022,760,353,275,216,727,679,493,436,076,293,
386,975,037,761,514,684,762,510,044,844,649,063,156,975,028,454,134,614,771,
091,788,344,287,958,629,363,634,344,326,704,370,265,662,824,085,595,279,726,
230,309,513,989,786,264,681,493,748,161,684,713,849,856,119,030,993,748,736,
635,175,746,556,731,127,547,863,580,522,663,587,945,840,079,618,981,593,335,
289,204,500,766,855,488,097,538,392,324,517,088,080,502,791,849,627,264,134,
045,029,504,952,183,602,168,982,176,472,611,167,018,001,828,271,724,952,211,
777,111,737,083,970,034,232,106,466,307,457,023,996,229,032,268,202,235,114,
039,529,380,086,579,584,068,783,961,003,527,658,581,809,124,261,639,052,365,
560,306,333,947,558,523,197,941,752,201,108,028,146,251,136,192,691,653,739,
648,758,064,566,214,017,106,949,604,438,852,109,841,193,042,780,411,373,250,
624,382,098,134,667,856,787,252,690,392,662,289,236,167,102,563,901,610,587,
891,929,698,216,370,968,532,191,987,443,743,594,166,987,333,592,614,237,261,
673,560,216,729,142,709,724,173,513,576,597,944,461,790,980,016,795,775,289,
462,390,298,231,031,651,373,954,906,849,474,945,794,698,331,565,146,901,709,
312,309,455,809,200,581,273,631,638,906,579,165,570,473,259,441,336,368,994,
262,346,791,334,408,478,909,436,081,632,629,798,715,850,921,974,078,150,365,
470,778,169,943,593,790,950,986,232,830,318,414,474,195,407,058,305,932,279,
041,728,678,953,937,426,899,250,146,061,067,217,601,400,980,317,199,182,091,
773,990,310,778,683,203,813,826,729,827,287,541,472,646,478,199,224,844,743,
008,825,044,617,058,973,936,062,121,979,312,087,976,345,941,380,703,590,163,
180,349,951,564,928,034,897,839,251,252,866,511,390,513,903,237,024,913,235,
605,644,262,095,691,581,505,813,895,631,438,159,634,210,702,601,021,005,252,
928,983,716,285,375,695,739,267,431,873,537,399,073,109,855,086,202,112,277,
965,663,089,149,566,128,249,153,401,165,987,733,456,436,151,620,524,633,918,
938,831,311,099,142,681,384,977,011,895,354,226,072,866,650,803,024,331,394,
240,442,814,434,220,630,328,184,629,928,875,996,702,818,774,130,491,157,232,
508,677,665,455,893,594,114,312,248,060,524,845,652,829,062,851,520,602,020,
213,344,679,334,941,559,217,985,217,995,314,855,507,663,864,256,031,606,733,
358,369,430,791,335,167,896,294,337,569,770,212,913,388,208,632,907,191,384,
820,721,860,806,259,655,607,086,159,183,407,287,534,653,144,377,469,221,711,
296,772,327,515,024,084,205,052,167,414,902,638,865,029,212,747,742,326,081,
676,055,434,225,659,889,194,163,916,217,968,532,866,224,747,841,564,527,491,
103,156,569,095,546,224,364,558,086,809,099,717,310,069,579,124,124,707,986,
744,247,970,162,101,998,119,392,384,801,505,853,294,004,880,334,919,139,118,
767,198,364,124,522,120,387,378,385,309,766,906,409,692,766,296,993,797,834,
688,200,238,045,651,817,376,341,221,007,346,211,948,778,005,798,788,896,905,
854,111,790,020,359,779,725,807,497,972,247,626,615,951,344,075,498,266,264,
727,416,499,369,950,388,937,197,710,818,022,111,315,682,165,016,066,688,363,
964,305,451,626,648,383,396,079,435,116,139,314,272,220,790,947,857,219,206,
259,498,002,269,529,640,734,043,995,360,202,543,564,266,472,092,325,570,170,
742,079,692,299,977,271,504,841,188,948,060,562,946,604,138,852,299,078,732,
094,317,544,517,721,790,741,768,612,906,691,599,615,158,116,918,102,810,336,
826,510,928,360,997,799,841,929,074,590,368,277,991,643,308,829,797,198,520,
992,490,494,555,823,147,011,238,230,880,759,713,970,474,579,507,427,239,416,
417,169,885,072,257,778,534,424,622,133,346,976,975,724,623,998,659,653,290,
168,596,639,049,886,515,522,591,104,157,850,904,754,836,662,152,523,149,096,
223,734,351,514,038,448,215,385,642,118,759,759,833,190,042,828,641,547,274,
768,263,615,419,485,646,563,503,930,236,247,572,222,070,736,611,434,715,438,
553,974,774,370,815,579,459,115,418,792,565,318,148,824,671,971,847,768,894,
128,802,798,601,276,778,656,537,959,975,637,843,058,002,050,667,227,754,371,
359,288,388,164,694,016,127,696,484,887,233,966,992,534,567,179,818,245,152,
723,234,382,714,176,232,259,153,476,375,243,470,257,656,082,191,327,035,994,
133,818,472,823,691,002,356,520,173,661,022,296,349,482,078,792,779,595,885,
484,562,946,061,693,002,302,329,833,368,998,777,373,107,144,709,174,307,176,
540,857,670,052,501,798,990,263,450,575,810,483,646,300,860,504,815,633,349,
093,033,096,843,379,409,334,864,332,547,573,161,875,610,295,790,965,077,187,
560,212,699,687,231,356,530,432,940,737,437,663,632,171,937,704,540,897,998,
074,860,792,538,994,625,286,885,001,010,979,446,330,724,433,859,335,465,046,
627,709,129,604,330,760,831,237,476,463,097,799,011,210,605,884,787,114,484,
696,868,930,860,014,372,362,454,087,494,585,240,815,496,374,398,798,903,572,
178,273,978,348,695,709,244,007,673,768,838,696,094,242,349,827,495,285,659,
724,138,932,529,662,632,077,422,690,815,871,232,631,608,861,562,951,660,485,
865,157,399,314,674,204,777,216,184,448,609,033,172,557,724,702,758,209,417,
377,270,870,441,340,593,081,604,410,077,109,894,816,012,220,531,396,477,940,
292,628,498,756,988,161,075,704,686,482,665,704,754,636,437,840,509,202,095,
343,534,999,623,149,604,552,443,207,741,438,239,717,455,557,879,438,855,963,
441,738,809,590,282,003,199,919,957,028,889,326,351,636,477,827,661,070,768,
447,818,060,696,990,334,903,151,439,276,005,886,595,474,434,034,995,043,157,
398,983,103,694,900,469,022,621,908,446,180,936,384,697,687,438,937,850,020,
623,797,171,266,488,274,146,537,044,977,307,652,028,815,153,723,724,246,552,
301,473,409,679,884,132,206,945,032,834,730,476,864,441,108,730,238,782,467,
474,846,029,044,609,542,382,672,692,161,287,161,159,888,286,267,278,211,975,
772,216,943,829,887,212,220,728,386,368,795,264,264,829,471,423,459,638,796,
019,525,742,207,769,126,799,979,977,095,251,693,791,003,805,129,862,046,309,
820,448,628,340,205,909,788,278,774,742,320,303,152,315,065,476,541,623,687,
882,660,977,710,938,538,630,933,912,306,377,346,094,063,614,601,885,365,099,
598,345,294,583,376,781,948,975,671,488,364,168,180,155,012,179,608,632,909,
422,664,168,205,031,648,939,838,746,391,220,208,767,059,975,637,379,983,322,
054,838,528,428,841,817,824,781,076,163,183,251,114,496,378,780,209,715,618,
419,546,605,504,108,284,534,175,563,303,392,144,278,793,936,272,888,087,194,
608,580,761,060,663,111,836,178,725,460,924,217,897,055,474,622,511,137,620,
526,747,777,565,233,267,141,844,778,451,717,830,924,478,887,296,629,282,783,
829,976,845,659,012,757,120,597,511,830,516,044,030,867,109,723,015,336,336,
140,895,406,047,140,647,077,105,070,709,270,473,096,052,198,904,480,665,112,
377,985,863,289,572,854,130,579,690,836,377,767,877,542,384,736,565,459,321,
559,512,273,133,159,099,732,176,657,446,688,227,334,170,939,549,437,159,571,
054,768,973,153,029,479,437,438,397,224,216,688,363,481,227,869,504,023,779,
521,187,926,880,032,300,626,947,673,398,397,960,784,552,457,581,894,910,621,
965,632,385,083,080,320,740,896,258,572,782,970,541,052,188,315,932,622,630,
902,649,901,923,371,692,016,656,778,924,163,749,264,573,295,395,902,475,330,
800,080,453,091,533,087,121,932,939,702,959,955,696,813,798,096,087,371,927,
377,419,286,391,403,716,326,059,722,601,138,860,709,470,473,198,808,990,065,
166,736,084,882,684,602,555,859,681,946,685,522,159,487,690,250,903,842,928,
521,877,660,492,882,068,576,724,998,839,553,882,677,578,733,588,560,702,965,
525,878,813,686,990,357,477,989,827,996,903,830,925,608,182,445,457,678,731,
612,462,896,851,110,646,198,862,570,443,985,290,766,890,312,125,842,897,780,
591,833,625,659,403,815,757,194,781,794,038,904,094,241,844,170,043,366,222,
078,920,671,752,582,729,413,453,190,859,342,790,318,971,350,537,285,842,127,
270,663,831,941,794,585,771,027,735,520,089,169,989,627,077,301,310,233,616,
132,437,127,661,166,054,879,105,640,801,490,185,189,360,174,106,208,513,189,
101,068,815,764,699,201,880,703,194,771,620,994,022,658,927,683,367,879,249,
458,430,618,772,204,180,012,388,340,912,259,372,623,532,312,754,161,274,798,
728,553,081,754,869,766,865,464,160,472,499,557,321,545,788,019,522,723,132,
156,105,992,289,632,621,489,510,591,876,172,024,799,995,881,104,523,693,659,
418,643,953,335,644,957,172,001,045,246,390,122,609,290,898,602,838,835,239,
841,830,165,529,987,023,749,357,962,508,887,011,257,420,076,422,483,079,819,
794,968,064,174,005,769,400,041,433,499,686,461,406,315,359,124,541,210,409,
550,777,943,552,448,349,931,503,948,036,097,994,021,090,571,105,350,019,044,
750,914,746,133,469,317,515,513,802,559,991,154,744,503,078,774,311,702,057,
435,857,777,519,748,123,774,936,065,111,276,523,379,200,974,106,395,775,406,
520,651,407,344,991,756,995,538,735,811,650,568,129,198,124,782,389,972,976,
303,152,916,371,944,681,085,932,637,401,370,558,300,653,719,836,194,587,377,
726,587,136,130,011,691,401,759,333,893,044,721,742,238,752,881,366,864,673,
847,968,078,157,332,455,439,272,021,434,521,678,882,564,683,806,505,934,532,
165,435,259,378,759,730,247,626,751,885,084,823,444,013,291,353,574,051,672,
667,753,388,235,292,048,365,383,241,633,534,248,448,995,638,607,637,729,476,
833,895,385,966,031,737,155,402,701,050,403,888,187,741,741,183,351,038,488,
972,867,417,929,788,774,633,049,597,219,407,903,545,301,050,124,392,364,212,
479,936,443,096,107,034,626,342,966,344,451,443,190,161,336,921,020,146,329,
842,121,860,840,968,424,470,213,684,403,896,106,843,085,590,618,879,552,731,
075,350,690,731,356,895,490,593,227,952,808,066,430,781,529,151,190,922,733,
967,040,393,761,310,707,184,700,739,225,735,090,800,913,731,580,519,086,891,
590,002,403,396,853,958,251,565,360,079,583,593,921,822,905,278,121,723,988,
855,824,284,544,762,355,824,014,553,608,029,604,266,789,138,666,968,552,314,
553,470,610,086,616,087,828,124,383,401,571,736,593,519,435,185,266,907,623,
037,482,129,717,395,280,291,174,170,946,340,405,557,536,173,867,974,939,865,
783,920,594,057,594,393,355,969,851,246,223,836,606,798,536,585,941,077,159,
526,768,680,318,802,490,518,111,916,340,929,968,916,052,705,829,811,613,693,
570,171,949,364,663,133,971,021,595,801,550,501,599,565,262,592,314,712,576,
230,205,098,197,475,852,809,699,091,092,637,969,827,430,802,820,272,609,207,
226,232,580,169,881,666,941,344,196,006,100,502,598,688,716,712,031,861,654,
034,455,260,854,201,047,913,066,385,680,393,944,690,442,027,094,852,524,541,
392,491,663,570,661,771,548,139,856,791,159,233,658,381,539,185,629,184,166,
648,436,955,074,398,811,048,441,349,376,928,015,285,019,328,078,142,595,750,
044,628,671,327,209,797,775,263,453,016,995,968,825,086,811,060,866,491,555,
272,357,998,128,026,621,680,245,183,396,391,987,060,830,012,180,420,377,417,
560,158,473,661,053,518,065,429,449,474,478,811,218,540,571,094,793,243,854,
574,361,160,216,001,540,719,504,111,766,154,635,861,757,325,254,135,358,072,
101,943,727,506,078,331,242,314,376,741,514,969,209,605,579,694,571,572,119,
582,297,946,018,238,406,639,479,638,096,318,201,280,346,000,792,392,144,426,
796,155,923,524,331,272,442,138,887,245,120,544,694,602,286,826,909,461,168,
421,508,254,383,104,413,319,255,728,785,066,790,074,173,241,898,544,494,762,
853,343,457,680,271,792,714,827,341,246,859,983,019,148,904,810,396,651,551,
062,215,326,839,496,745,333,381,087,401,606,644,554,056,420,295,163,561,284,
488,945,214,463,750,694,141,420,374,178,987,805,978,391,941,669,296,378,986,
219,803,424,083,125,085,931,746,764,900,036,337,921,894,199,348,889,554,762,
855,559,367,381,956,930,911,987,334,368,389,672,282,255,706,194,360,289,967,
012,886,829,370,698,793,086,618,064,135,892,858,455,402,949,964,551,210,663,
969,381,618,762,473,242,059,446,593,150,095,767,337,980,719,408,105,674,777,
521,736,179,176,265,264,803,205,304,290,991,819,688,807,862,971,659,433,235,
184,629,230,507,969,817,043,573,021,384,218,342,786,624,709,017,404,822,577,
520,308,898,609,249,278,265,801,737,080,291,077,081,125,432,308,876,466,517,
202,543,892,929,630,615,973,157,320,841,325,719,319,782,119,680,499,960,553,
940,132,989,622,151,098,477,613,338,738,977,743,661,607,555,520,997,462,254,
681,183,064,207,790,276,444,267,741,458,365,403,586,569,653,175,750,176,475,
852,815,184,185,741,288,604,755,146,456,536,131,825,825,340,052,194,362,164,
026,443,952,448,564,131,069,662,148,240,907,877,134,042,285,140,630,563,475,
156,191,340,913,267,708,486,098,974,096,224,731,498,025,759,833,370,518,209,
011,980,646,473,621,290,271,196,837,283,514,464,434,732,827,631,633,999,244,
392,656,975,739,627,013,976,831,844,076,182,583,247,676,496,639,878,529,899,
731,446,758,651,692,713,947,152,703,600,009,521,923,531,134,287,401,485,856,
463,535,584,265,557,572,009,373,124,349,090,052,150,498,449,543,276,761,199,
680,665,282,588,870,346,003,647,602,216,515,417,561,829,453,100,880,016,120,
600,939,244,778,227,940,736,586,327,298,802,177,495,797,115,104,516,431,119,
237,195,828,909,225,797,126,113,360,209,313,712,890,401,340,088,363,216,341,
615,539,485,430,492,302,577,887,813,669,902,432,730,537,413,138,753,455,725,
157,984,653,696,577,166,932,491,193,013,282,277,645,622,550,515,798,867,679,
656,708,177,399,333,348,548,667,274,885,942,830,246,254,731,072,920,333,324,
097,854,291,249,430,931,747,694,401,923,005,705,936,175,328,926,800,326,084,
692,535,971,777,082,586,837,159,065,468,815,493,876,194,734,020,681,580,147,
659,747,287,481,991,583,119,264,807,077,202,965,399,054,675,507,220,215,294,
953,069,743,255,309,041,764,251,533,538,763,883,319,305,496,235,997,091,375,
948,165,022,841,146,115,357,950,814,829,076,532,088,760,924,537,519,764,610,
223,830,838,998,557,178,902,169,182,374,219,540,068,588,013,902,387,932,505,
679,784,224,705,822,356,535,656,797,923,382,866,160,613,901,946,033,055,384,
870,176,702,318,323,103,492,116,594,399,156,294,371,852,577,121,915,716,681,
004,778,329,286,508,656,199,097,008,044,814,170,705,315,523,214,954,790,865,
418,243,480,268,580,070,207,964,655,788,155,954,936,370,971,413,352,360,487,
563,621,819,380,095,565,562,090,281,751,712,209,606,306,742,445,714,969,421,
440,086,045,833,524,071,225,385,793,057,082,312,267,556,805,814,026,809,194,
240,695,321,410,815,091,512,760,147,328,109,631,509,535,679,147,901,709,852,
993,174,628,951,770,506,585,098,764,658,845,220,052,028,728,596,928,257,621,
818,092,313,958,532,852,826,912,053,243,526,403,191,536,300,767,585,660,677,
137,036,724,875,074,655,138,239,737,074,616,830,900,683,468,024,262,719,599,
104,663,704,695,767,395,831,736,282,330,682,396,989,103,242,409,320,567,181,
729,069,189,778,402,149,089,761,583,330,389,209,147,182,834,894,727,792,608,
065,204,237,369,515,385,525,663,272,251,215,741,801,162,018,380,964,171,679,
542,534,811,807,109,223,748,368,807,281,634,571,658,842,222,288,486,946,349,
330,520,473,344,267,958,393,673,496,245,882,408,993,427,514,136,871,904,876,
709,464,862,691,869,193,116,854,706,727,282,506,878,811,849,020,374,660,797,
973,551,242,654,206,408,244,203,813,068,504,843,154,287,272,951,671,082,679,
137,827,674,122,059,967,935,060,724,500,165,920,633,159,199,348,032,961,715,
510,339,124,187,846,452,925,827,048,416,727,669,503,824,873,990,155,859,774,
167,983,330,565,328,887,989,770,565,600,059,235,281,296,742,490,602,033,452,
341,179,199,166,450,687,852,633,731,375,353,022,403,582,637,760,151,146,486,
189,586,822,972,733,786,282,878,738,150,235,915,985,190,483,886,451,623,892,
735,383,865,356,370,955,388,215,241,846,310,193,796,710,759,907,440,978,173,
157,085,472,154,821,144,758,033,261,198,358,372,659,649,013,448,247,505,516,
889,975,383,927,850,101,074,533,330,243,598,269,979,018,424,044,840,111,975,
138,135,398,301,434,618,971,085,777,504,578,842,732,771,199,409,870,562,527,
062,809,923,732,968,828,970,865,937,930,906,372,281,942,513,810,189,842,821,
758,783,822,408,317,582,696,269,000,122,678,185,396,264,436,324,882,950,654,
602,042,120,066,141,766,920,872,581,507,984,557,360,163,450,310,439,234,341,
342,370,449,122,304,209,914,768,955,733,733,261,595,016,064,646,561,338,934,
004,617,986,205,879,278,477,679,877,356,864,009,096,590,851,719,390,062,913,
858,981,929,811,960,024,005,044,161,338,694,987,429,877,882,387,283,510,023,
782,839,624,269,178,393,838,307,965,334,799,418,679,100,890,524,713,821,995,
178,651,411,470,995,449,322,554,879,147,455,522,934,838,640,675,542,777,109,
177,084,520,280,160,316,932,790,452,317,389,362,918,393,636,969,024,065,691,
134,535,497,192,349,772,165,591,705,207,847,670,246,995,738,210,740,911,331,
879,181,541,659,053,540,487,605,817,240,102,528,353,797,891,766,286,429,320,
134,782,533,373,226,617,156,699,553,463,661,631,452,692,695,202,296,258,029,
518,261,627,641,535,689,478,556,953,894,447,734,141,952,308,189,570,811,141,
673,532,433,827,077,681,559,914,415,220,523,913,997,378,857,186,981,751,137,
007,146,972,050,440,872,691,725,039,691,514,093,707,204,361,500,527,973,834,
778,469,286,316,151,477,114,920,961,857,160,507,413,316,734,118,484,823,395,
762,586,770,764,639,003,536,230,574,681,004,442,399,448,089,657,169,262,973,
386,406,428,140,721,893,959,504,351,912,575,463,902,969,011,304,764,826,116,
224,516,586,339,729,663,699,043,392,885,520,300,408,539,954,889,706,214,104,
430,399,519,827,894,992,481,314,934,229,592,441,958,493,726,300,399,276,424,
276,965,780,144,375,315,453,099,334,329,376,467,853,911,793,327,546,422,739,
955,991,453,575,814,997,391,219,822,150,808,041,402,020,588,715,242,537,971,
308,418,684,430,168,621,082,423,801,626,058,320,172,471,189,041,266,983,851,
228,191,788,096,639,983,121,597,557,202,706,657,072,917,496,715,690,209,901,
078,998,516,924,964,297,166,838,405,401,886,866,811,062,783,215,667,722,710,
029,606,343,375,782,974,512,364,306,750,950,078,793,534,727,937,429,534,125,
950,922,881,401,049,575,405,977,951,648,283,661,028,129,726,022,365,925,280,
264,474,190,171,868,855,043,032,089,180,467,886,461,465,761,932,353,269,082,
301,359,792,696,625,834,130,427,692,361,850,085,254,601,029,155,163,394,891,
729,150,343,391,344,731,144,824,766,382,862,234,854,937,463,570,315,933,907,
971,752,882,601,797,188,324,932,562,212,192,657,199,414,239,395,506,263,761,
039,885,803,867,923,303,769,168,297,448,711,419,589,252,039,666,285,153,929,
920,595,015,155,041,164,341,612,312,897,040,067,456,435,146,986,317,435,111,
192,148,605,577,924,764,545,551,311,290,159,028,778,701,391,085,419,491,068,
076,225,394,874,858,980,839,744,204,800,535,859,759,452,477,310,335,285,904,
133,148,973,395,723,897,033,526,469,619,163,627,568,145,437,408,872,662,976,
908,130,037,386,505,248,823,460,487,754,850,564,810,719,230,535,328,736,260,
575,907,017,237,779,063,686,792,356,587,300,849,019,238,946,520,793,942,118,
987,490,019,826,857,529,487,051,550,400,866,604,262,959,175,881,942,540,786,
262,291,674,640,614,902,852,498,139,157,187,816,123,370,659,380,856,346,446,
714,550,107,232,556,154,272,810,338,947,972,368,976,474,207,616,893,167,340,
134,791,404,243,665,866,397,577,110,079,252,399,689,911,314,413,156,640,999,
094,118,672,006,950,529,221,756,726,954,212,691,366,339,063,263,592,467,448,
928,085,308,417,184,246,794,542,055,016,085,498,262,527,087,647,771,877,630,
106,164,045,173,850,903,458,102,675,902,241,423,689,361,338,379,227,754,698,
174,427,633,237,663,798,279,979,284,365,705,617,929,230,067,041,886,417,495,
626,795,847,281,189,327,317,632,700,148,296,995,914,340,473,319,727,464,221,
157,230,511,040,742,474,585,300,951,931,858,049,357,632,674,165,880,845,368,
979,386,545,941,947,875,395,868,335,828,255,057,899,879,753,761,051,994,364,
548,091,578,398,486,376,556,991,927,649,717,055,701,120,674,241,165,554,221,
797,602,585,181,440,965,507,063,772,997,288,228,849,816,511,923,646,158,595,
066,894,375,425,076,468,886,403,635,124,339,540,982,677,180,859,690,805,543,
190,428,988,249,655,160,333,349,489,430,242,005,139,973,246,188,518,923,713,
731,893,526,559,613,284,762,070,699,263,218,884,079,482,600,117,146,865,059,
822,583,604,843,986,324,545,503,772,401,683,884,450,173,078,646,079,226,645,
062,342,682,795,726,609,620,455,706,916,193,030,491,714,348,078,041,895,708,
867,725,455,054,818,503,130,905,889,125,867,528,609,540,829,833,733,254,871,
078,238,683,982,327,737,185,427,842,560,501,325,882,760,085,688,382,079,357,
040,424,449,334,881,596,954,078,111,932,745,803,165,595,250,466,317,972,903,
300,662,884,449,073,075,563,159,290,420,682,243,538,772,823,944,014,935,729,
472,593,325,928,853,910,447,333,690,513,831,457,922,370,427,317,914,605,791,
657,038,335,537,898,829,146,734,596,062,563,864,770,157,383,332,357,146,224,
145,986,142,925,790,845,589,373,999,731,216,408,826,789,190,926,078,440,260,
726,353,641,872,708,406,334,520,791,262,586,147,994,254,901,770,625,571,390,
264,717,463,088,385,546,015,952,405,370,044,986,327,962,476,884,094,357,963,
993,031,687,317,974,502,501,906,796,713,581,511,144,294,227,692,219,838,012,
083,781,844,079,474,221,805,190,750,564,771,761,411,680,828,417,833,175,961,
424,710,976,829,890,581,746,902,684,008,362,820,491,892,090,970,941,109,617,
931,040,818,224,113,674,209,678,152,732,152,095,385,235,813,281,446,517,511,
943,288,154,315,330,401,278,481,168,817,533,583,825,903,298,479,427,432,842,
757,028,761,416,521,766,459,159,103,075,810,419,244,734,030,335,393,343,581,
936,935,322,519,722,425,171,462,758,858,523,470,662,131,329,060,789,398,624,
572,734,688,082,397,776,749,108,919,303,679,987,797,903,412,181,595,276,370,
052,987,250,144,061,743,768,227,550,813,410,634,868,002,143,140,011,113,124,
911,254,983,784,550,210,905,208,952,557,044,512,285,697,959,046,166,957,961,
995,049,368,359,468,276,695,993,963,889,202,534,576,459,851,912,552,359,182,
275,381,152,661,818,740,841,425,050,133,132,026,976,625,954,640,678,145,514,
062,842,991,012,862,399,504,623,565,090,301,823,203,367,505,963,952,719,811,
751,864,168,563,246,867,566,022,619,842,102,534,377,853,684,711,050,723,261,
168,810,464,969,989,746,332,739,308,214,744,718,424,881,886,533,843,405,538,
885,028,768,295,883,809,932,929,329,222,412,000,592,307,838,290,780,725,128,
607,987,961,848,391,314,641,362,217,123,286,443,875,389,624,366,898,320,494,
929,540,347,534,700,962,964,343,979,672,832,322,889,951,544,935,452,275,600,
997,499,132,565,274,185,564,797,762,167,927,172,398,937,721,825,076,373,666,
360,477,935,143,568,235,016,698,942,755,700,350,898,299,650,728,958,010,701,
419,071,005,630,092,387,656,940,198,665,223,142,383,341,942,336,260,647,630,
951,608,517,647,323,349,896,346,331,835,374,805,356,021,036,313,726,259,562,
355,276,370,963,025,480,203,642,327,486,968,496,194,267,594,197,918,723,548,
391,737,966,938,373,106,259,649,942,361,473,046,700,617,855,798,469,212,230,
712,511,389,672,156,066,550,921,531,439,580,376,367,026,619,788,134,060,246,
328,663,867,743,464,723,265,939,367,369,276,826,788,976,894,416,653,810,858,
781,729,519,555,302,047,656,293,613,693,935,056,397,659,221,733,179,626,605,
095,534,862,727,932,510,101,861,186,956,276,555,822,615,910,501,964,450,634,
098,762,277,056,422,731,941,822,863,463,028,579,064,452,116,576,719,814,452,
527,231,438,845,561,132,097,727,571,118,539,076,179,450,389,747,613,616,827,
721,320,035,902,544,866,455,847,733,842,330,674,003,583,652,538,147,035,669,
624,293,711,459,488,832,498,447,275,146,215,763,843,169,192,101,798,923,038,
464,312,519,756,596,744,942,000,686,924,118,060,713,826,915,324,237,011,107,
781,855,230,791,235,861,215,682,440,135,943,433,227,137,201,971,415,479,467,
151,066,724,938,739,002,067,516,771,719,994,671,608,351,824,059,866,427,125,
501,302,149,329,226,132,719,120,039,628,544,594,818,586,920,826,770,895,282,
657,163,050,599,532,879,023,979,772,726,782,896,595,660,760,854,903,803,975,
593,354,432,229,866,146,977,964,599,908,783,101,281,378,069,747,628,845,969,
053,973,327,272,537,259,270,894,842,383,204,067,596,852,472,003,845,756,650,
340,613,698,840,763,903,084,824,014,749,950,447,315,784,311,356,807,238,420,
861,797,401,837,738,380,333,210,172,879,224,811,219,660,634,896,305,488,870,
067,463,231,724,183,407,102,210,439,637,476,327,498,613,666,917,771,385,244,
762,984,799,626,785,566,263,197,886,183,090,987,270,911,136,125,146,741,802,
174,268,537,198,838,031,792,060,840,981,138,466,764,883,631,577,488,389,343,
982,632,106,813,379,280,765,984,407,396,047,561,049,266,873,083,555,046,141,
959,199,311,688,070,409,023,365,953,724,282,736,423,218,717,733,711,858,421,
288,913,310,923,931,305,690,883,598,790,033,491,008,038,180,500,955,209,554,
119,714,190,297,524,431,924,966,077,440,599,197,822,272,171,459,600,880,070,
581,171,631,958,496,895,187,944,227,671,375,407,586,336,343,952,577,315,248,
710,656,118,645,135,759,189,974,448,454,310,021,718,484,832,221,568,400,940,
777,615,482,900,461,993,159,164,545,126,413,002,248,462,760,127,242,943,757,
221,402,866,383,346,909,596,780,384,640,843,479,949,941,273,441,271,004,994,
830,178,207,453,944,700,110,495,235,752,387,842,323,550,212,262,714,690,831,
976,549,289,517,027,071,926,416,551,056,883,795,006,206,405,371,426,458,464,
603,473,334,022,446,984,443,956,616,583,901,703,913,316,176,594,626,793,244,
650,654,539,791,094,209,877,593,782,771,183,986,898,704,233,826,379,528,888,
195,352,040,502,454,082,505,552,345,640,852,472,225,767,399,359,514,412,592,
142,904,771,573,589,719,051,646,911,617,620,842,490,681,833,769,391,252,928,
275,402,188,681,432,820,193,279,945,658,777,816,550,052,555,657,296,475,877,
026,334,385,381,358,579,304,739,078,744,988,099,061,483,177,938,547,190,271,
563,560,211,556,323,202,441,846,468,872,815,763,714,526,825,148,033,147,360,
398,565,206,398,771,949,256,687,850,984,075,078,827,033,096,105,105,454,349,
451,379,495,710,234,871,639,231,210,920,004,420,122,748,933,624,757,503,302,
930,299,596,520,850,833,323,660,081,791,812,828,263,116,842,303,256,606,665,
298,788,337,295,910,822,683,944,373,846,301,138,613,592,384,790,776,711,939,
752,151,294,507,456,669,537,453,141,184,334,501,930,342,178,713,961,494,805,
863,677,031,445,146,223,127,707,977,089,369,026,930,138,003,210,398,800,010,
455,810,207,994,092,286,925,314,526,428,337,324,825,967,768,321,807,389,360,
376,370,004,765,548,561,938,167,365,687,023,098,469,014,020,939,813,424,894,
542,927,145,225,136,233,255,895,366,029,996,277,947,489,066,332,447,146,714,
569,213,598,678,854,705,977,380,251,609,869,380,768,552,576,764,504,039,444,
695,459,934,184,873,789,882,564,990,182,236,531,910,626,974,231,909,844,632,
202,096,218,208,870,893,958,239,417,238,528,524,485,492,403,299,671,307,735,
098,313,510,780,881,370,802,661,682,119,596,599,968,299,474,847,617,339,559,
443,250,857,106,995,070,240,731,213,021,662,417,411,878,164,353,307,442,283,
098,246,448,459,292,182,728,178,365,515,928,261,050,539,550,520,537,476,246,
524,201,213,150,676,796,915,720,568,582,058,375,644,361,183,075,557,817,731,
722,065,930,354,337,208,841,694,055,833,488,868,328,172,184,546,075,365,584,
784,554,426,954,494,253,003,892,290,385,416,839,097,665,322,519,140,410,214,
608,687,247,198,317,222,008,824,578,520,536,940,386,532,614,185,287,643,549,
664,473,484,355,887,752,577,819,712,718,433,510,176,135,129,008,294,304,074,
211,290,132,391,221,600,748,114,926,970,925,347,067,143,925,950,394,410,328,
241,116,424,394,622,696,109,573,593,572,441,151,446,629,038,007,131,213,743,
516,898,243,754,885,959,783,418,181,298,404,432,091,183,319,504,196,214,605,
473,517,727,786,386,234,835,827,334,756,303,139,328,607,374,010,146,820,228,
596,132,696,512,143,150,992,588,645,417,891,728,408,203,478,290,442,379,106,
776,924,911,037,661,024,769,242,796,820,293,998,933,561,681,188,061,350,536,
815,556,277,799,363,193,859,248,335,366,870,107,173,406,406,596,604,416,386,
503,711,161,564,126,219,725,317,332,730,581,941,348,736,297,853,469,139,196,
922,398,136,477,283,627,191,131,462,557,326,256,863,161,499,714,983,372,941,
964,651,610,073,898,883,792,821,761,371,041,299,142,899,628,630,478,255,400,
602,312,346,035,806,250,496,778,680,877,186,436,216,977,123,457,670,102,363,
763,733,399,091,937,918,361,170,751,020,360,499,977,301,563,154,199,981,436,
579,442,077,469,243,953,604,368,226,209,056,293,140,098,903,539,444,559,448,
802,502,339,378,850,052,126,331,367,985,003,220,462,263,317,208,827,759,899,
075,230,759,346,524,556,938,488,202,233,754,901,584,086,042,719,757,272,260,
331,878,072,351,515,052,768,987,430,851,570,835,100,159,053,770,607,017,999,
558,388,418,179,449,064,552,834,214,135,206,636,313,032,876,264,114,259,008,
461,094,491,389,944,066,473,785,241,554,121,409,329,360,232,367,990,904,782,
473,072,598,436,872,860,471,754,163,981,804,901,738,534,887,143,555,844,421,
381,315,702,632,132,282,794,143,389,880,643,824,277,170,626,676,528,826,213,
394,104,962,765,565,241,258,977,172,631,838,576,465,389,206,567,639,340,611,
161,825,989,923,154,416,241,881,806,767,957,587,927,350,399,125,338,489,031,
609,585,433,084,536,069,253,515,458,819,333,872,870,800,727,883,976,366,397,
736,285,954,446,039,019,494,221,708,408,948,190,206,332,944,059,692,652,448,
824,350,609,175,198,720,168,797,458,883,199,429,372,240,553,634,204,025,879,
727,039,099,689,758,191,073,554,903,341,084,028,374,568,272,082,062,264,300,
968,677,975,546,032,443,563,286,729,892,876,379,890,731,124,096,527,385,454,
644,023,294,874,526,912,316,317,102,476,502,866,750,177,970,683,616,590,991,
425,695,239,703,079,628,815,067,227,243,301,151,576,304,986,121,281,030,385,
049,780,906,886,952,949,856,173,591,006,130,469,314,202,728,993,283,901,321,
522,509,739,118,078,100,744,135,564,144,953,675,860,933,051,310,859,872,036,
226,560,648,641,958,095,957,382,748,940,387,260,413,912,350,019,797,354,770,
261,549,267,410,479,038,850,208,341,226,831,052,784,756,185,573,689,327,530,
474,084,427,466,755,111,061,068,193,724,849,654,733,602,676,231,275,091,444,
472,848,935,761,006,609,015,637,619,256,590,033,438,422,410,099,221,964,472,
181,914,146,391,883,571,325,612,039,948,615,717,920,002,409,455,664,654,677,
280,460,009,603,048,082,646,946,966,577,661,383,334,932,331,374,365,386,459,
005,488,869,006,287,629,637,690,832,674,315,800,410,241,741,182,401,872,214,
918,432,501,134,918,501,882,700,065,282,026,273,290,700,493,419,391,737,600,
936,327,918,423,650,715,739,376,278,112,704,160,306,750,559,112,263,434,089,
714,341,483,099,729,342,599,728,016,303,170,346,819,220,294,818,781,851,879,
399,329,752,865,423,221,933,468,067,772,147,767,367,274,144,777,577,977,267,
920,293,391,711,461,451,878,611,170,357,244,309,364,839,501,066,928,448,497,
327,918,519,221,656,519,032,625,004,642,729,165,372,598,162,217,343,591,341,
344,151,666,906,284,353,604,451,826,597,480,203,833,202,701,639,412,443,483,
160,706,397,109,633,369,296,415,155,474,198,649,823,459,867,519,697,563,779,
058,646,001,310,428,949,512,984,411,340,942,000,391,227,102,332,865,481,357,
094,556,677,784,710,081,393,653,193,490,441,600,182,463,217,335,842,324,200,
811,038,411,175,240,508,076,290,484,722,383,941,980,608,551,346,709,404,677,
072,787,475,253,363,175,680,149,797,810,131,029,489,569,084,199,559,257,928,
850,079,178,367,983,831,259,970,865,901,583,995,484,997,282,346,986,281,712,
099,044,162,524,675,384,213,817,557,252,566,495,497,430,335,692,134,845,812,
813,138,437,212,271,097,177,682,654,044,889,508,491,909,606,721,004,091,920,
403,743,276,803,811,717,404,403,015,301,959,830,728,041,155,572,376,886,544,
395,368,736,544,898,158,692,078,760,578,929,142,263,500,237,871,265,444,921,
723,644,880,193,956,270,542,142,440,641,311,923,026,547,023,915,871,700,496,
076,624,726,168,130,835,466,443,439,305,925,783,345,479,437,243,457,501,931,
967,356,206,021,808,690,398,119,342,685,535,737,406,738,375,962,052,478,576,
773,560,514,713,813,835,785,919,620,339,690,250,679,376,920,150,081,476,854,
997,685,965,500,589,975,095,418,406,023,615,047,094,512,469,820,091,661,527,
279,603,014,450,285,997,280,006,182,059,151,785,903,451,023,631,192,764,210,
209,711,454,171,036,141,637,642,113,172,982,676,137,670,356,341,048,159,107,
253,751,379,389,072,105,618,467,045,970,117,077,326,148,389,811,756,385,817,
791,081,465,915,170,448,762,673,826,724,768,882,403,272,746,037,607,176,733,
254,806,862,108,601,863,304,692,646,404,606,258,571,127,937,243,942,227,701,
579,207,731,982,922,258,541,383,031,733,703,377,588,795,299,639,423,937,580,
442,447,152,022,308,056,191,923,342,345,890,201,981,533,939,978,675,063,322,
315,176,487,601,181,465,335,383,490,964,084,679,483,180,155,861,721,899,215,
756,550,800,783,402,645,665,138,800,128,750,375,453,365,030,079,332,452,671,
623,183,726,241,368,705,132,603,577,176,731,059,240,479,934,224,858,348,884,
147,613,198,804,853,681,868,880,040,087,771,552,795,952,729,866,468,034,282,
246,778,367,883,234,937,419,641,307,800,748,577,410,691,884,404,402,542,958,
314,117,118,635,781,912,148,963,197,178,626,453,375,473,337,830,567,121,026,
533,517,770,252,593,282,788,331,931,347,364,594,407,631,776,873,005,516,414,
842,170,239,076,491,914,260,548,833,319,209,166,531,392,279,318,237,512,913,
527,993,702,156,032,300,441,960,968,881,509,680,345,288,399,041,059,666,934,
180,022,851,151,978,028,193,966,832,694,641,454,883,380,519,669,878,066,950,
942,649,900,108,771,152,069,697,687,680,420,849,540,268,453,938,198,827,953,
035,227,673,938,189,374,322,853,218,484,487,372,622,213,357,473,711,641,270,
898,259,994,229,144,012,599,034,907,266,936,272,888,983,821,136,048,246,350,
532,166,204,036,966,150,772,232,703,646,301,425,878,426,841,873,258,193,219,
405,618,093,586,046,889,113,319,999,968,967,113,191,179,078,062,332,461,925,
498,713,826,765,720,777,977,899,968,964,278,294,331,720,992,628,401,762,898,
033,382,074,351,983,557,690,408,731,267,610,991,252,373,512,805,257,468,401,
416,416,396,186,733,121,671,207,353,391,599,545,839,932,384,807,914,263,688,
862,846,735,655,404,553,803,582,221,324,488,924,519,203,624,723,475,276,163,
275,486,247,557,655,221,101,565,691,815,138,784,214,894,859,286,691,211,410,
573,310,589,754,604,935,231,010,996,655,368,014,241,210,022,180,482,387,519,
594,304,777,877,479,208,306,859,038,630,565,908,492,753,266,705,375,165,348,
228,635,645,411,777,507,810,073,507,412,367,599,158,414,449,073,648,367,424,
156,582,449,528,436,114,650,204,589,635,366,168,645,616,972,979,279,032,084,
619,592,114,523,460,955,458,563,427,605,076,394,328,547,651,577,489,854,786,
509,503,477,164,434,137,625,191,932,544,445,640,440,375,559,963,842,967,354,
773,334,476,758,341,837,085,744,014,792,652,179,452,397,000,668,053,393,400,
999,333,124,804,872,241,059,722,290,874,894,817,602,752,431,349,095,504,722,
381,369,443,487,440,873,796,538,141,914,605,465,673,970,843,451,950,326,163,
709,461,910,536,676,989,420,200,084,255,249,615,312,728,987,277,823,971,975,
052,440,170,790,512,359,035,463,387,215,101,003,693,674,507,941,082,026,126,
548,586,987,984,448,292,878,530,108,119,168,307,948,776,870,407,198,690,178,
677,429,528,313,266,541,363,469,737,357,804,029,203,770,823,847,775,227,301,
605,365,943,259,793,375,957,319,593,067,661,027,523,043,361,882,350,556,833,
737,203,528,095,559,504,541,576,707,837,950,726,812,087,022,750,166,003,169,
361,231,183,486,843,600,501,943,078,338,911,484,868,859,235,938,173,342,288,
364,035,464,577,977,997,219,101,323,735,471,159,615,546,876,802,743,713,161,
312,733,885,484,122,773,573,768,960,242,619,598,045,419,003,382,416,557,722,
691,961,569,414,676,460,894,391,329,133,713,818,061,802,307,196,316,222,505,
690,459,503,455,189,313,408,940,028,419,778,725,174,743,833,002,147,936,740,
592,609,113,926,150,757,074,382,986,069,880,965,220,657,402,857,593,915,946,
020,863,809,414,644,426,889,779,525,474,011,097,055,509,963,895,904,758,726,
515,689,382,555,723,692,418,450,710,695,423,521,960,160,138,523,679,225,329,
699,986,459,659,872,715,715,559,403,694,909,347,243,722,065,167,272,377,127,
005,347,949,455,715,687,430,187,950,291,454,709,107,196,639,872,475,025,430,
211,967,109,625,799,918,844,333,872,707,174,887,395,613,601,777,937,372,856,
891,121,744,242,283,470,478,198,018,704,462,285,179,690,784,422,448,649,891,
346,084,792,287,779,396,376,816,398,217,547,232,811,136,120,605,489,264,554,
700,799,479,814,431,413,522,362,724,439,734,922,456,017,107,221,843,652,033,
933,728,986,750,578,862,087,499,747,089,213,184,795,200,191,890,087,327,644,
605,359,171,229,263,693,389,163,226,975,616,107,772,664,880,108,461,043,363,
167,718,179,930,670,544,596,566,612,033,243,952,326,334,991,015,015,874,052,
541,403,541,035,271,725,984,327,355,351,795,199,261,605,768,626,076,474,384,
712,013,670,361,940,141,804,676,079,073,686,835,783,544,896,691,771,858,858,
660,052,086,915,939,341,895,729,955,571,024,476,990,814,575,676,382,480,117,
644,556,745,485,943,284,217,753,045,600,942,466,430,411,976,269,066,507,724,
254,676,164,818,612,278,365,104,783,136,809,120,476,698,858,078,998,364,874,
027,029,257,979,827,222,189,989,755,685,409,134,130,785,703,871,910,464,710,
159,805,403,235,847,684,464,434,396,212,037,829,152,213,756,952,278,014,789,
094,386,800,313,276,114,480,509,770,943,330,821,679,677,921,408,366,759,315,
497,815,493,078,882,791,306,884,990,012,277,813,876,414,722,293,119,291,787,
925,387,235,784,269,237,691,341,392,431,680,917,359,631,996,060,406,456,305,
305,858,477,949,219,893,688,779,781,759,774,939,670,430,668,051,589,910,594,
879,055,670,254,194,656,193,531,499,247,832,194,447,013,248,381,578,845,704,
293,034,153,346,718,283,513,729,042,317,587,269,580,924,204,839,230,318,221,
582,214,066,087,922,986,961,718,281,530,392,003,803,316,287,971,809,480,986,
733,651,860,875,465,037,020,513,135,624,645,876,887,797,537,931,436,936,529,
441,898,277,428,329,737,099,422,450,184,230,286,455,485,317,244,745,471,733,
753,993,843,987,626,602,794,325,638,747,388,539,095,359,066,016,327,362,984,
341,141,496,895,016,629,642,347,517,640,396,002,715,499,746,059,953,427,511,
695,305,097,006,968,674,166,327,874,237,590,025,261,035,219,112,920,695,127,
615,917,612,605,604,277,972,588,413,816,214,807,358,241,814,299,977,984,593,
386,500,557,215,550,228,231,586,099,638,395,046,957,030,791,134,837,156,956,
658,098,653,706,410,589,961,724,081,056,148,822,575,772,809,954,051,492,016,
476,623,682,210,059,442,715,684,164,002,993,035,160,191,899,883,178,176,266,
214,194,119,842,443,220,304,621,144,683,959,874,569,186,647,051,617,075,467,
373,626,396,701,795,870,877,256,304,449,256,315,341,281,857,172,366,018,816,
040,584,819,128,839,863,827,209,518,961,361,215,370,326,063,172,733,404,715,
009,276,452,628,936,196,255,166,004,687,192,447,586,013,781,170,985,247,973,
538,182,102,825,339,736,942,718,814,022,087,760,124,710,023,848,813,345,599,
730,534,485,968,816,539,364,470,294,188,489,897,444,246,875,932,384,661,444,
986,802,459,623,186,514,426,990,194,871,075,243,590,693,995,139,924,529,810,
617,930,503,382,394,056,000,424,671,566,306,450,184,162,930,701,387,883,510,
184,011,518,037,617,018,391,780,737,154,141,135,875,398,428,378,168,267,896,
313,603,158,418,260,392,046,332,935,128,100,599,462,732,706,462,262,732,862,
643,434,438,255,596,615,890,988,308,088,178,528,301,230,074,860,731,869,994,
243,042,380,030,310,202,910,205,158,593,500,156,198,777,528,656,771,783,755,
158,646,346,076,583,126,646,829,836,948,614,088,732,765,640,462,067,330,570,
656,090,097,981,416,156,324,377,131,006,045,470,615,934,145,101,639,814,979,
147,409,561,199,921,769,456,839,982,219,416,944,014,288,550,929,411,487,589,
082,120,376,724,382,831,978,708,349,503,591,543,283,504,339,409,663,089,079,
868,892,177,679,762,275,635,106,150,424,831,035,835,038,159,938,032,190,899,
245,616,342,679,058,000,199,858,881,989,590,137,068,098,936,314,297,150,070,
640,357,134,987,237,158,062,492,741,674,330,603,026,933,923,954,710,283,427,
096,282,895,192,510,329,990,981,565,873,601,567,915,775,293,971,017,427,036,
795,937,419,046,446,364,056,405,904,096,357,404,357,179,305,585,754,957,132,
785,466,336,871,115,759,424,017,579,715,200,015,791,933,409,839,770,801,638,
593,679,752,553,520,812,721,753,656,951,336,830,544,265,165,246,155,442,493,
565,593,109,248,744,322,756,969,391,516,415,917,615,426,157,202,774,937,722,
830,859,273,280,671,060,426,953,417,195,008,361,339,778,579,066,590,479,832,
474,455,154,649,571,105,140,576,089,780,452,622,285,003,932,827,831,373,969,
543,799,298,621,826,127,102,213,015,523,378,804,850,594,533,522,511,556,339,
500,078,410,149,137,984,778,635,186,841,149,040,037,800,466,238,187,465,530,
422,508,223,181,070,967,242,628,681,866,952,063,521,112,905,245,680,240,630,
653,431,610,130,178,756,870,359,806,330,687,981,945,426,087,104,484,974,973,
899,756,383,432,118,712,575,251,171,990,392,749,419,280,026,033,233,093,131,
722,155,400,563,256,390,294,012,127,160,611,952,853,783,700,844,011,230,463,
940,656,345,516,510,562,130,086,149,653,979,818,028,885,274,884,114,853,163,
055,178,801,366,736,319,368,347,644,781,355,396,054,113,776,630,227,107,688,
102,443,431,789,447,606,735,323,414,914,577,470,391,743,111,415,228,604,399,
835,962,021,628,276,566,081,542,736,076,657,711,653,766,747,954,494,343,854,
844,388,452,495,855,199,909,280,323,908,777,289,109,551,664,900,058,472,942,
389,089,067,691,397,847,142,614,124,872,724,204,526,818,004,369,102,515,529,
251,722,217,159,395,371,295,091,699,104,365,545,020,217,694,502,272,001,256,
527,469,033,224,346,911,028,478,840,402,815,589,167,075,726,076,073,237,030,
027,291,728,772,966,043,576,982,142,752,112,466,514,906,573,634,517,679,573,
484,970,668,765,665,150,558,446,180,981,921,439,330,029,195,609,424,048,825,
604,017,939,558,832,749,007,464,123,257,442,887,698,318,598,483,050,911,500,
195,836,788,355,266,713,958,203,823,277,627,005,983,013,070,514,066,245,014,
864,823,099,543,533,490,188,488,488,710,888,299,914,785,862,873,671,870,969,
135,644,182,117,450,468,807,653,074,709,706,896,534,995,152,327,977,046,587,
730,353,876,716,089,777,672,259,289,511,778,983,552,704,827,465,471,670,807,
449,407,676,890,207,872,596,329,771,580,070,250,909,086,204,776,544,313,164,
954,053,658,780,371,401,640,317,714,956,208,056,030,240,750,828,799,991,576,
965,967,238,191,332,710,803,524,635,446,821,957,012,477,302,364,512,642,908,
761,423,885,362,491,323,998,968,573,308,472,303,805,117,582,464,022,955,051,
895,793,712,441,638,435,287,169,983,253,525,660,583,846,629,377,123,373,707,
861,234,098,318,556,325,364,558,907,819,428,512,731,739,693,077,823,152,896,
994,613,174,592,038,415,027,996,309,202,582,567,023,599,946,399,807,318,239,
670,534,101,950,772,803,232,636,825,800,394,289,754,826,213,176,661,983,166,
084,159,955,456,709,631,608,444,698,727,181,123,296,435,123,838,209,374,059,
305,431,441,396,420,495,414,458,712,669,397,671,367,579,640,855,420,142,760,
512,374,313,449,697,637,859,637,276,598,561,235,692,572,762,380,994,191,742,
634,111,274,284,575,250,723,298,764,797,960,990,337,829,433,579,606,906,028,
669,975,047,712,973,272,766,035,567,523,921,695,177,198,484,983,479,744,516,
404,307,103,300,038,039,391,133,021,825,484,264,090,048,983,469,344,603,946,
594,660,106,300,653,528,384,287,836,923,589,692,240,229,438,786,543,400,463,
429,846,888,580,681,995,423,357,850,361,220,757,613,165,948,286,681,001,395,
253,612,910,702,472,035,672,785,956,230,244,286,065,722,979,402,725,682,346,
115,112,762,879,065,309,030,257,900,081,176,829,160,510,124,040,251,061,942,
090,866,186,290,317,860,525,885,186,767,154,923,153,087,364,118,346,973,659,
609,863,347,724,777,031,302,328,303,905,147,215,344,963,935,280,263,188,735,
496,480,969,796,206,291,536,926,779,307,686,346,563,117,788,677,107,790,146,
572,435,563,863,193,748,448,322,469,182,817,455,254,159,006,516,116,084,442,
290,525,267,800,679,974,330,287,044,691,006,182,760,431,403,449,166,819,795,
467,791,366,202,849,033,983,976,305,418,307,915,778,097,579,427,794,595,176,
979,186,412,053,639,355,517,924,596,603,403,043,082,092,638,542,276,281,732,
675,250,449,172,655,715,589,613,359,990,625,648,043,743,484,710,580,640,523,
184,391,410,725,721,684,266,715,298,430,496,206,785,096,136,114,024,184,481,
140,754,881,366,657,760,368,051,087,974,012,590,390,300,403,844,267,720,420,
162,009,622,000,574,934,120,868,283,445,337,067,461,670,031,129,926,344,578,
670,938,001,436,640,265,776,706,392,300,036,828,754,147,840,113,448,413,644,
039,336,215,972,781,848,780,366,031,164,003,779,082,438,050,978,508,495,588,
449,977,563,207,137,821,030,554,376,952,703,707,032,092,912,754,297,980,836,
543,141,274,902,552,650,777,783,931,884,334,347,627,365,881,814,637,241,775,
131,875,176,906,772,958,991,470,101,512,759,606,791,234,529,209,546,906,725,
538,032,762,384,911,526,797,737,780,758,566,167,269,864,188,851,975,169,135,
964,125,490,932,457,938,382,480,330,457,488,602,646,381,154,126,061,387,560,
909,489,243,433,100,009,424,578,253,294,187,373,515,235,019,869,092,544,563,
276,303,016,945,631,554,417,191,702,334,183,309,827,274,454,654,954,689,800,
384,638,991,891,030,365,383,944,913,163,682,915,762,069,074,109,870,702,514,
073,808,820,793,194,052,110,352,279,327,173,422,548,070,573,999,833,642,723,
311,216,705,210,940,790,179,472,682,581,070,174,995,335,987,235,872,950,820,
776,825,186,078,628,009,393,081,967,102,004,787,066,348,296,920,293,665,722,
101,276,381,942,952,727,133,291,960,317,061,994,932,557,441,075,072,794,689,
055,181,125,594,356,972,975,645,739,863,849,006,737,788,252,173,232,818,320,
983,439,241,038,689,211,936,398,937,434,717,342,976,953,845,755,741,871,430,
946,316,146,479,921,435,742,822,264,229,344,249,036,798,316,340,330,986,496,
897,768,938,580,905,688,325,239,782,742,273,879,079,730,539,614,724,482,257,
308,163,233,477,438,090,447,628,143,926,724,910,524,079,470,163,651,061,975,
445,695,600,814,151,989,242,415,984,508,701,479,768,461,987,174,272,286,118,
799,283,482,045,071,781,740,425,632,312,802,844,702,735,424,149,875,393,986,
249,052,815,171,115,906,718,090,406,742,912,874,026,410,136,857,710,756,091,
762,979,985,709,251,060,017,313,965,187,857,939,939,874,728,760,724,889,714,
702,455,031,827,874,702,768,493,290,145,171,805,317,946,711,146,052,244,690,
269,268,920,690,456,840,290,145,441,896,060,249,838,893,216,109,048,624,461,
235,862,432,633,230,372,099,073,510,592,851,484,208,823,623,039,828,347,414,
011,312,190,874,176,556,419,726,845,978,758,975,796,135,497,316,922,732,069,
715,079,816,978,150,750,205,259,384,963,595,123,099,119,811,758,578,562,173,
548,934,434,048,526,097,557,584,788,323,776,679,595,806,566,463,849,079,077,
182,039,094,790,312,391,325,539,326,963,651,406,662,374,910,962,233,751,828,
026,187,759,915,376,325,749,153,392,937,396,654,211,512,085,461,056,422,496,
039,384,852,391,657,594,375,909,644,422,883,656,170,957,598,271,127,378,242,
597,360,836,548,568,287,982,902,290,916,064,620,809,829,226,574,530,018,452,
440,767,228,138,310,664,044,804,146,104,240,171,421,101,356,794,003,726,140,
320,355,853,240,720,393,996,668,569,828,853,654,217,832,758,470,220,728,337,
937,222,663,137,394,369,388,730,870,643,307,855,481,386,159,003,517,513,332,
485,099,261,656,586,193,992,985,035,786,565,557,513,358,670,137,139,751,176,
021,850,246,378,939,256,230,669,167,274,827,247,557,313,535,077,653,408,544,
565,232,817,128,009,893,547,415,198,185,968,760,120,708,522,309,387,182,010,
339,049,543,562,734,271,504,795,086,154,724,387,093,151,419,709,430,104,918,
404,736,112,655,181,308,159,845,092,993,388,330,884,994,737,516,955,190,734,
431,502,116,885,941,860,402,567,617,981,861,040,316,031,600,383,684,810,521,
406,138,279,570,839,928,923,402,310,632,828,483,928,179,217,724,247,572,429,
880,085,993,007,608,808,877,655,401,223,451,511,129,594,965,512,790,628,071,
225,901,411,990,956,379,408,346,927,350,143,778,420,501,965,563,926,579,569,
818,914,721,656,600,235,811,626,283,923,299,399,227,980,039,413,236,610,018,
672,508,550,415,364,825,837,758,390,172,153,872,338,892,976,346,665,888,391,
356,482,686,873,605,249,877,657,571,057,906,878,129,605,146,514,706,653,244,
449,217,350,086,521,605,648,077,937,146,543,501,293,440,305,477,185,001,918,
586,724,969,370,755,196,296,862,076,029,586,892,040,046,330,445,287,771,330,
164,000,880,462,356,752,994,151,667,520,121,460,604,270,136,104,639,289,182,
254,520,432,395,125,446,651,453,544,385,307,030,334,032,371,746,303,338,943,
964,915,740,207,142,362,609,135,962,773,565,981,055,623,401,961,857,621,739,
530,147,073,786,851,647,363,367,227,855,398,732,170,052,683,520,093,500,039,
696,478,253,186,284,257,828,086,700,233,398,997,837,745,519,239,072,742,711,
014,806,943,266,210,856,224,611,516,960,256,435,041,826,939,507,694,033,361,
868,550,940,731,478,532,631,013,987,385,494,558,325,680,993,039,282,553,488,
922,758,797,784,824,447,233,958,074,594,487,042,417,798,745,079,620,033,332,
240,033,395,410,209,973,805,287,918,966,870,677,377,726,399,002,111,022,111,
308,114,927,443,706,810,375,147,225,045,296,745,737,624,994,618,345,916,478,
742,162,772,628,287,516,005,564,403,372,767,663,248,775,452,144,796,566,895,
383,271,225,032,858,478,369,905,181,060,093,253,974,270,797,016,754,085,954,
601,375,385,346,664,427,877,105,258,477,900,585,236,503,348,882,055,861,851,
269,683,566,600,733,919,499,324,666,383,216,314,003,900,490,171,238,761,701,
086,058,955,061,536,047,382,266,932,309,755,944,280,566,848,875,144,658,948,
323,673,785,223,643,449,596,533,397,722,951,840,942,166,408,509,393,097,245,
776,744,278,104,839,626,231,507,222,420,608,014,337,995,647,482,312,824,134,
940,811,567,692,604,691,865,143,193,352,707,595,189,583,958,055,538,634,902,
181,458,742,248,172,660,491,940,475,817,668,767,708,541,399,738,160,083,824,
912,267,497,170,663,965,040,440,749,386,045,290,083,729,740,468,149,793,193,
764,164,841,497,929,306,283,210,963,329,131,549,182,286,206,778,093,564,131,
189,268,099,294,685,812,039,221,241,994,211,161,877,079,318,018,056,162,003,
581,945,700,251,160,523,658,558,951,436,255,328,111,298,547,593,630,633,568,
807,579,388,831,445,852,830,545,467,141,318,575,827,577,465,778,044,291,807,
363,162,274,343,173,703,448,096,043,803,040,707,878,173,499,305,434,601,169,
715,678,332,670,212,286,998,002,573,428,203,925,304,185,954,571,639,086,627,
990,711,051,002,393,041,297,290,672,354,788,257,417,270,136,354,393,855,791,
525,794,038,048,538,222,002,900,068,099,687,537,048,696,652,187,852,005,143,
851,462,077,786,350,722,340,243,535,012,566,177,303,674,686,539,772,031,545,
432,244,609,396,702,049,443,961,675,503,891,965,025,928,029,306,636,238,156,
116,090,830,437,165,562,414,414,372,661,991,186,764,237,164,939,098,990,572,
329,312,003,166,136,643,840,214,591,907,787,042,315,832,021,929,166,638,469,
410,696,124,838,713,215,362,144,560,276,016,910,880,926,687,082,646,557,886,
545,179,899,207,234,750,056,839,000,664,628,714,046,492,886,207,760,145,904,
477,482,112,003,353,644,447,993,998,126,173,033,905,373,501,837,846,402,735,
731,951,004,529,600,696,037,919,063,789,322,438,026,325,727,912,341,560,146,
669,313,091,947,729,638,374,049,989,611,689,866,729,025,294,903,504,584,860,
274,001,547,324,769,058,375,670,748,542,621,206,585,612,119,317,759,206,471,
999,834,047,576,563,808,194,084,979,752,744,510,507,172,673,369,534,529,015,
962,208,745,119,538,410,165,968,391,839,890,867,749,612,444,884,398,747,888,
265,803,434,169,265,255,418,546,789,307,229,092,652,745,607,508,854,972,355,
479,501,784,765,352,645,313,448,714,726,895,764,506,335,699,189,055,362,464,
546,439,198,572,802,604,042,020,818,084,707,171,800,902,702,972,265,711,172,
875,459,108,772,159,292,684,372,959,991,290,275,557,493,647,743,903,465,823,
881,960,919,640,807,685,008,410,891,372,415,127,678,729,310,315,125,578,743,
917,824,136,239,061,218,372,678,626,028,670,658,102,888,819,984,913,268,162,
650,984,468,954,846,978,687,299,529,657,285,196,365,497,332,560,076,605,099,
778,898,921,183,177,148,913,491,580,940,867,850,900,327,744,111,949,110,493,
763,699,461,834,601,088,314,599,043,146,377,400,094,771,514,946,486,459,303,
854,138,866,152,330,613,201,599,194,119,235,394,106,953,318,169,424,004,108,
394,724,858,210,997,888,011,089,716,392,551,916,645,097,926,960,684,234,118,
352,199,057,058,931,906,219,445,677,958,117,918,297,133,540,158,754,156,234,
137,135,609,046,865,083,505,899,910,398,072,219,784,852,570,997,152,583,002,
666,194,223,651,435,101,364,022,687,317,577,066,875,887,209,462,920,637,887,
437,184,195,433,535,272,843,651,074,038,331,705,796,100,933,199,844,477,001,
325,635,715,429,223,278,701,578,970,659,421,420,432,246,056,251,240,305,136,
623,575,882,858,259,569,453,754,520,363,732,091,796,924,062,913,989,283,776,
337,967,388,828,650,050,177,088,670,386,844,987,405,186,513,075,280,002,599,
843,235,481,188,385,204,578,071,046,402,102,840,443,756,134,833,973,172,315,
166,858,334,253,300,905,621,749,526,235,139,284,366,404,429,868,299,213,260,
944,068,635,778,576,433,516,747,639,354,633,929,655,358,259,363,071,030,321,
183,409,022,956,194,631,877,412,648,869,733,189,111,435,067,494,701,580,702,
700,303,307,630,959,564,373,566,418,178,272,923,933,484,963,996,372,691,520,
706,769,428,969,727,620,215,209,548,172,414,215,613,155,663,510,254,120,587,
345,713,076,748,850,563,427,764,453,306,334,509,533,610,421,708,710,896,088,
388,653,372,668,733,799,840,270,438,810,483,674,618,424,852,458,659,866,969,
044,460,991,701,914,684,357,545,443,321,310,482,254,429,341,409,224,233,632,
604,288,952,285,908,050,934,340,380,703,086,081,462,062,656,485,884,051,486,
748,784,351,951,497,666,975,575,992,154,243,341,763,012,464,383,950,028,118,
830,326,028,436,455,711,860,115,366,087,593,678,459,429,294,452,661,342,977,
699,959,231,686,833,472,716,333,592,235,633,109,478,819,177,234,279,026,319,
875,565,706,145,318,635,302,281,898,209,429,088,369,651,082,642,402,164,198,
316,276,181,889,466,640,241,364,839,675,038,988,511,531,348,597,583,087,461,
159,109,111,781,237,486,608,326,597,002,162,449,973,975,742,265,115,896,757,
667,650,117,646,028,114,944,394,690,665,632,263,631,687,906,897,299,726,498,
964,607,895,544,117,417,772,212,371,972,202,898,459,765,667,980,980,425,389,
112,650,222,616,360,470,464,530,745,168,461,855,022,932,379,955,170,275,273,
147,533,445,325,948,246,091,913,942,803,670,275,001,068,096,916,929,642,343,
326,453,118,134,169,701,755,215,053,831,549,827,494,165,256,689,030,942,077,
433,287,965,154,199,931,781,840,379,408,928,898,901,429,645,238,895,161,177,
350,242,487,472,851,418,069,749,382,657,493,947,137,829,668,710,540,544,661,
658,880,988,418,495,285,375,098,581,220,794,321,588,105,259,595,923,224,817,
237,337,934,714,881,608,755,495,744,319,994,246,140,826,209,442,671,901,669,
572,062,234,297,056,310,756,748,939,786,927,222,564,371,862,833,117,110,316,
359,416,214,778,193,503,948,508,408,769,062,595,422,941,278,726,990,998,190,
735,984,159,765,419,617,722,150,531,742,279,612,216,364,320,628,699,248,970,
049,854,392,206,091,057,565,025,350,399,706,298,387,190,231,854,055,672,491,
345,575,639,496,835,201,611,423,736,422,347,429,276,665,045,183,807,202,435,
481,884,533,173,766,245,101,574,730,973,600,245,818,106,862,472,154,524,241,
520,983,133,469,642,063,407,729,479,052,581,395,905,789,224,811,561,006,917,
972,072,907,052,096,678,239,007,613,815,612,193,129,957,124,802,225,219,325,
336,386,953,964,242,243,424,013,977,894,157,429,165,141,170,906,189,946,004,
930,868,998,234,141,654,601,222,150,417,172,907,475,545,010,409,959,837,150,
712,576,124,694,565,242,195,595,862,618,138,422,153,195,035,133,710,705,806,
606,997,507,350,876,501,039,775,196,330,142,396,221,369,314,163,467,992,566,
577,883,163,301,063,119,879,499,197,537,778,851,958,406,410,985,427,950,340,
675,739,866,862,812,281,837,004,699,760,807,321,641,042,199,408,822,769,127,
625,677,892,389,300,799,886,641,968,344,278,304,382,339,801,246,722,076,418,
091,013,269,144,056,210,639,196,284,033,037,986,579,886,976,822,512,416,809,
956,521,772,002,286,023,392,014,972,831,389,125,879,917,857,860,385,855,354,
954,405,732,279,242,918,928,607,656,364,754,443,623,931,684,919,714,065,798,
726,081,867,015,573,535,922,314,848,714,043,002,000,806,069,876,868,418,159,
098,375,143,656,490,521,250,451,430,983,113,523,191,966,185,359,304,820,108,
085,307,733,574,104,286,307,493,388,480,104,230,197,033,987,096,759,289,903,
523,126,673,539,734,486,597,915,101,642,840,424,946,335,680,807,177,427,489,
713,948,523,735,113,661,816,913,131,103,763,612,869,975,978,647,408,525,246,
450,113,922,248,135,345,139,336,283,493,300,784,814,088,713,478,026,483,909,
077,830,067,522,826,946,978,176,519,286,740,504,473,353,910,870,345,710,117,
222,612,390,050,102,751,439,173,486,366,913,814,265,928,149,304,171,814,006,
925,361,005,362,271,899,528,959,636,280,946,700,436,714,705,513,153,273,569,
910,208,848,924,729,047,959,199,464,067,467,890,907,590,113,612,769,715,589,
294,659,280,269,991,449,120,588,064,471,338,083,666,267,969,108,824,518,232,
955,498,891,363,835,055,175,756,612,693,632,075,901,940,500,848,182,729,663,
268,618,202,791,293,163,247,538,311,933,180,780,810,376,496,003,500,521,596,
298,156,642,870,351,397,094,468,593,771,143,318,334,899,190,964,549,611,307,
196,489,555,512,350,521,781,133,963,194,881,488,077,911,540,215,608,876,460,
050,809,729,201,108,121,142,444,214,653,515,619,307,288,620,298,454,156,364,
599,900,407,394,237,509,359,396,611,981,781,638,999,060,410,840,365,386,584,
141,096,333,891,285,157,524,819,218,887,987,094,627,610,517,664,691,024,206,
722,725,473,456,524,215,103,543,082,655,070,556,249,827,505,567,727,491,219,
880,222,063,578,330,499,944,591,245,977,746,090,547,385,724,788,653,937,129,
630,217,737,750,967,870,283,638,304,406,209,515,874,636,229,096,678,859,168,
946,521,996,497,537,342,679,611,217,618,893,034,074,652,885,365,062,809,125,
459,624,820,378,403,574,944,063,995,839,932,592,665,581,660,691,773,702,697,
406,942,930,954,923,289,963,247,990,277,851,277,334,181,911,966,259,725,843,
589,537,750,154,933,996,350,243,958,495,321,691,987,653,774,579,691,540,733,
722,854,693,178,439,820,875,122,874,778,472,403,993,039,470,409,823,879,087,
891,877,267,046,167,348,324,534,423,635,331,093,795,525,712,012,412,670,265,
707,961,461,518,381,638,965,580,017,610,569,877,902,699,377,693,421,581,382,
414,660,535,971,405,193,304,644,555,850,223,015,612,610,290,769,137,531,221,
191,234,879,190,029,689,942,569,057,671,858,788,971,428,895,445,925,358,163,
041,405,244,940,232,774,798,284,365,690,339,261,374,445,075,271,929,842,763,
373,330,014,143,126,033,209,909,927,997,249,108,766,153,262,527,785,841,369,
549,981,359,544,230,717,148,970,148,702,060,882,958,424,835,748,579,005,866,
367,034,771,584,510,282,355,236,107,351,787,767,802,380,133,296,626,302,982,
309,308,669,214,021,752,938,054,657,054,111,254,273,875,649,303,710,370,637,
095,171,054,393,066,832,617,445,305,008,338,050,510,731,764,373,890,801,867,
807,539,222,709,753,774,808,719,750,095,526,094,704,910,271,089,467,694,943,
024,385,670,336,245,324,145,338,881,321,747,560,012,298,303,215,027,966,867,
718,932,926,881,329,498,595,310,743,697,574,732,655,082,781,012,285,247,691,
013,497,304,904,444,412,884,748,383,440,272,473,954,304,873,343,829,201,960,
312,305,743,273,453,973,051,035,817,150,431,952,292,576,746,019,316,719,344,
358,889,352,117,958,521,284,754,431,040,413,594,733,912,524,677,867,028,317,
667,063,054,003,286,035,298,455,828,688,752,102,007,126,155,931,251,637,935,
994,056,589,009,846,634,115,976,655,999,474,865,585,628,474,192,565,361,236,
736,704,750,725,738,849,240,926,266,685,680,990,438,322,314,723,937,762,033,
830,618,881,272,006,522,328,286,778,962,119,850,987,687,509,567,703,724,651,
848,470,979,643,385,244,140,196,666,035,022,696,828,381,235,594,867,058,625,
848,220,970,149,363,225,357,814,331,786,335,614,605,807,039,387,398,105,270,
993,540,788,119,137,951,376,025,876,306,827,499,806,671,878,303,498,392,135,
144,600,373,402,488,674,160,466,064,121,953,763,982,623,626,079,269,643,436,
702,355,125,692,087,927,974,088,078,386,352,992,282,889,664,663,304,914,485,
047,483,867,475,079,679,283,469,551,750,543,674,867,111,420,624,463,319,313,
230,294,152,735,315,564,227,523,593,342,756,603,891,606,418,025,150,679,740,
912,879,389,095,368,378,343,288,886,394,979,768,647,801,819,093,354,426,246,
164,865,024,260,657,573,539,417,492,673,438,814,518,611,253,699,561,591,344,
683,605,845,477,163,216,400,698,806,497,263,747,164,783,154,758,547,963,452,
910,154,082,939,559,698,420,075,967,324,115,166,962,929,818,367,990,876,284,
028,105,507,781,683,012,530,156,305,545,843,801,907,690,968,048,120,014,386,
576,610,988,324,876,705,408,809,297,913,355,921,358,461,097,472,976,187,570,
081,144,576,239,624,305,970,782,857,146,473,184,026,681,568,428,663,592,639,
058,539,569,740,691,615,286,575,809,125,650,824,264,020,690,993,692,688,004,
525,888,072,301,588,745,901,479,352,792,169,061,366,960,091,062,806,337,434,
418,778,865,144,270,878,513,491,725,861,975,169,840,218,219,462,093,618,919,
767,757,251,288,671,571,785,606,919,851,431,009,113,733,987,818,177,357,498,
488,319,482,356,911,265,987,040,773,916,701,682,778,315,923,372,135,384,757,
286,161,608,959,134,932,514,318,173,912,731,582,455,295,103,265,927,307,229,
181,289,025,110,891,920,945,424,385,216,355,305,403,364,483,703,618,714,863,
226,728,131,263,149,056,322,922,101,809,706,871,114,950,872,355,385,882,060,
266,268,965,050,067,719,658,328,554,077,771,952,135,186,576,565,407,280,140,
021,206,597,001,167,185,751,560,693,720,912,648,186,761,534,065,773,232,129,
942,283,934,212,778,223,866,074,368,962,789,245,487,572,772,663,690,334,097,
527,891,726,584,414,827,575,462,233,852,789,536,355,190,037,246,647,414,113,
192,694,155,431,355,205,719,871,948,803,149,667,552,032,531,648,325,070,036,
251,512,841,406,685,429,536,376,867,428,445,601,164,180,509,832,127,442,445,
043,790,387,546,621,232,598,443,534,138,934,421,410,916,275,454,997,104,570,
675,549,694,527,314,140,329,084,850,250,052,336,707,410,824,855,656,458,967,
011,759,457,242,322,660,756,834,193,505,322,631,915,424,610,737,524,072,028,
832,548,547,373,909,894,562,502,741,026,342,752,276,499,094,601,741,623,922,
739,749,696,023,172,079,605,987,263,869,986,511,397,616,152,690,938,915,992,
391,927,715,435,100,026,345,076,379,242,051,228,738,226,418,917,209,067,528,
120,199,329,469,940,934,094,450,585,842,801,329,078,985,022,161,858,248,901,
599,135,519,347,639,032,047,667,903,859,066,391,158,467,235,157,325,348,703,
567,265,226,835,696,585,209,106,601,660,174,326,490,377,109,244,587,925,293,
524,315,323,907,763,810,664,130,543,790,540,374,459,413,695,052,141,623,566,
208,063,309,551,268,192,670,636,671,513,534,346,594,568,606,554,720,421,274,
526,493,745,749,532,781,368,511,219,293,178,503,076,144,608,545,392,683,694,
778,602,943,876,854,645,597,305,573,268,418,786,402,474,103,690,147,720,331,
787,305,942,505,352,941,233,674,019,883,384,938,437,458,696,927,664,486,992,
512,664,959,636,808,338,418,774,179,022,048,257,736,579,852,092,542,159,705,
953,307,841,979,568,063,937,085,422,087,431,079,069,456,757,328,334,940,398,
230,340,060,627,677,256,795,934,770,904,604,846,966,134,081,013,193,415,001,
499,943,625,098,806,097,693,590,163,987,524,030,699,561,320,601,634,521,654,
815,912,104,247,069,611,773,272,313,560,326,484,715,255,820,450,719,047,708,
255,769,041,889,533,154,869,769,059,387,506,569,287,065,230,951,145,295,372,
169,339,257,544,007,762,444,219,288,002,659,167,710,112,250,558,604,371,134,
068,051,673,763,089,401,140,019,045,056,777,971,766,714,722,206,816,849,548,
674,846,386,512,665,564,440,250,623,345,584,175,685,202,287,126,707,366,674,
185,459,940,943,796,040,921,225,272,762,653,619,441,500,964,628,456,225,043,
044,743,406,628,794,869,206,068,716,405,231,803,686,340,787,800,172,623,506,
646,574,504,948,743,666,512,006,854,443,754,231,715,422,823,069,266,820,486,
588,538,005,134,141,561,915,623,699,636,821,169,147,202,306,261,190,411,502,
704,475,578,848,016,359,463,664,367,291,466,576,343,860,116,130,614,586,596,
935,470,511,551,750,281,808,183,105,219,722,870,212,704,986,662,715,516,833,
240,088,079,067,186,278,306,255,899,939,419,129,443,957,326,691,728,696,203,
515,735,366,546,591,217,465,550,043,891,189,168,783,134,824,324,967,714,038,
575,401,286,981,287,928,221,475,200,895,458,728,289,373,510,965,322,181,152,
080,088,777,477,704,122,952,907,526,771,430,056,897,312,967,021,476,715,676,
810,432,792,151,175,907,183,140,429,198,630,113,522,652,707,146,641,817,029,
899,855,904,953,464,658,937,388,493,925,554,240,214,842,399,643,692,322,277,
069,056,850,380,485,830,343,693,369,878,758,341,753,474,587,988,655,167,604,
524,668,752,326,886,568,598,717,173,856,294,888,527,100,252,129,542,635,671,
046,423,835,577,976,951,864,499,179,955,913,536,064,664,863,159,983,344,082,
995,399,192,646,031,436,762,581,227,542,936,925,844,856,808,419,434,225,619,
585,964,841,911,796,321,382,678,849,066,335,697,383,377,592,886,585,233,644,
750,033,103,754,402,889,295,722,238,213,174,455,893,575,935,450,867,535,283,
060,202,406,731,857,437,496,460,852,620,419,018,608,895,172,275,544,636,902,
202,358,706,079,023,966,630,470,903,555,277,782,254,113,058,653,977,626,355,
792,461,049,703,313,896,041,569,275,751,977,235,454,753,850,023,382,965,086,
607,209,719,421,063,650,435,970,387,351,444,292,854,237,697,717,136,256,537,
872,855,855,171,300,833,090,695,105,049,150,134,980,804,982,483,405,059,103,
479,011,706,284,530,447,321,464,977,741,065,912,879,205,621,912,059,126,250,
966,442,348,442,961,416,501,488,576,926,913,939,292,944,835,527,999,656,565,
305,066,149,160,562,501,333,540,690,347,011,975,971,612,672,625,088,719,508,
353,158,431,900,717,477,425,640,399,277,135,655,923,030,376,817,929,173,811,
025,013,765,722,075,048,699,629,746,020,167,286,909,352,782,266,495,241,772,
612,961,844,584,380,921,893,623,930,503,230,806,070,930,582,482,541,611,988,
032,815,494,998,561,686,385,495,977,415,319,728,907,419,957,460,110,467,242,
999,091,309,214,059,854,826,636,480,096,119,443,981,137,866,465,689,673,903,
741,783,308,759,131,800,809,152,067,447,243,784,694,496,053,447,574,110,817,
468,455,110,599,086,961,641,659,282,557,189,123,560,804,762,159,936,641,224,
704,602,852,004,389,835,604,837,538,475,149,548,028,951,200,477,856,015,107,
273,640,093,298,702,998,391,603,978,106,440,449,305,469,381,100,957,392,889,
354,888,962,452,933,338,090,206,325,936,270,345,357,097,138,169,820,037,993,
096,901,637,697,934,030,748,585,743,230,198,071,169,504,355,954,962,674,713,
532,218,034,687,954,432,422,268,001,094,788,845,446,647,768,703,431,236,124,
821,065,661,008,800,462,428,523,892,630,618,547,096,049,450,158,488,550,997,
557,464,389,275,635,061,600,870,387,453,045,536,932,554,914,693,022,334,878,
721,917,250,699,454,716,644,606,010,130,024,535,090,710,347,620,591,061,130,
018,194,371,300,278,482,383,640,213,805,485,991,316,562,860,009,100,654,610,
375,499,073,073,163,200,214,551,571,653,910,284,845,297,182,273,677,209,354,
456,866,059,947,230,156,471,213,051,757,645,282,584,999,359,713,602,301,961,
951,592,319,800,181,307,104,993,624,052,074,246,512,344,245,595,749,292,528,
592,967,175,049,797,594,305,989,229,072,731,538,187,282,837,541,698,050,615,
552,061,081,431,493,283,609,312,778,060,975,587,918,947,970,450,010,077,850,
486,878,992,034,930,292,241,372,590,193,039,521,535,300,204,680,551,513,295,
807,905,531,564,030,940,749,120,316,525,114,880,404,157,437,277,438,488,311,
173,798,140,383,565,865,696,196,380,297,469,228,465,503,251,826,183,147,991,
510,748,553,871,884,523,554,762,030,864,010,047,310,615,112,322,473,474,419,
356,939,236,559,428,155,454,772,211,316,188,703,582,183,952,535,333,494,113,
736,236,660,103,875,644,207,891,958,735,364,208,873,130,691,186,006,554,545,
150,177,651,861,686,065,871,645,539,386,471,819,074,767,795,142,868,884,264,
776,932,722,152,024,441,349,512,224,808,755,231,942,669,721,493,607,542,827,
789,175,806,597,198,320,116,804,091,518,421,035,559,613,807,376,597,448,223,
575,828,238,039,184,618,376,229,748,150,931,127,472,148,421,180,356,084,594,
807,974,916,104,729,213,889,529,941,066,667,057,308,633,812,460,290,758,032,
634,524,307,012,542,248,501,611,987,935,714,818,236,612,856,867,147,579,099,
869,458,964,156,120,062,959,168,251,655,461,931,436,465,536,724,747,874,193,
926,022,004,594,018,885,993,812,681,538,854,950,015,492,396,975,109,021,825,
642,083,641,037,684,073,741,718,054,884,271,043,229,323,506,962,570,360,903,
769,735,685,082,857,223,689,792,777,392,368,864,753,637,725,389,689,311,797,
368,448,678,985,220,433,916,108,090,419,625,425,210,885,293,861,051,200,433,
607,387,707,320,855,052,982,504,663,220,545,857,175,341,208,705,441,716,850,
343,304,336,228,049,753,969,323,557,859,063,872,679,013,501,275,485,581,057,
860,958,509,726,599,764,412,369,356,454,146,424,250,705,782,893,072,563,541,
491,809,676,551,041,145,978,915,534,665,141,321,539,161,707,954,909,468,331,
938,572,252,679,806,226,176,523,463,362,984,103,645,657,186,649,933,020,359,
355,594,737,986,435,008,846,987,025,797,178,426,654,565,133,172,529,494,253,
594,333,003,413,650,595,198,352,902,777,512,991,492,132,462,152,421,797,500,
370,026,756,876,949,629,982,779,788,662,726,908,356,507,206,396,205,689,333,
046,897,471,394,266,098,982,637,192,702,752,684,241,417,409,774,698,241,170,
801,579,842,175,014,549,830,922,412,469,990,902,492,164,462,821,486,590,252,
430,566,473,490,949,030,008,187,930,922,966,310,610,272,883,284,180,497,865,
746,013,645,157,451,309,061,869,340,405,966,486,709,151,458,879,765,299,515,
883,151,968,052,490,454,598,104,398,942,393,228,084,565,866,598,653,209,140,
216,112,947,582,627,788,880,839,302,274,039,282,964,996,198,357,390,017,340,
292,752,989,395,753,938,972,673,838,500,982,732,723,940,995,842,535,840,354,
930,765,451,251,257,269,818,452,610,170,375,346,665,926,874,634,825,264,486,
797,884,339,948,174,196,528,103,863,973,535,957,842,254,195,643,472,969,445,
071,586,940,776,115,359,833,753,884,646,721,215,360,720,754,194,547,215,936,
198,771,363,697,263,905,124,053,519,272,661,451,754,758,416,140,833,440,091,
359,854,275,786,245,588,614,992,352,103,278,652,040,568,109,370,976,115,316,
896,921,679,164,032,588,722,691,564,720,343,392,010,683,477,486,166,985,299,
292,806,998,819,301,824,693,813,556,691,755,490,011,481,242,925,024,113,529,
167,333,152,862,455,820,761,993,612,083,741,655,872,186,225,625,266,762,637,
417,967,481,367,427,052,624,953,833,424,910,746,702,078,877,407,796,255,385,
659,354,011,540,962,375,815,935,561,379,361,688,967,964,280,924,934,004,843,
431,254,760,266,797,360,723,404,012,365,523,798,236,192,843,674,803,034,981,
217,497,475,290,396,173,199,306,534,800,177,635,069,792,279,667,864,388,951,
059,038,793,818,574,357,303,717,392,379,369,198,963,922,512,861,361,522,057,
973,016,705,898,914,543,787,646,419,766,752,020,257,417,333,170,999,656,436,
552,511,935,275,517,365,776,758,639,661,785,550,921,368,391,664,771,200,931,
206,572,671,543,839,000,271,699,564,762,105,678,400,685,007,086,423,413,186,
517,407,493,772,578,617,370,685,241,528,080,512,551,747,665,240,498,823,594,
521,461,763,719,114,465,441,245,174,163,970,132,238,184,449,272,929,481,684,
911,455,038,632,213,316,566,958,395,214,087,218,598,174,999,695,716,628,687,
973,907,585,299,553,348,446,708,696,772,911,645,715,137,011,828,681,810,059,
713,651,313,192,206,157,315,376,616,749,115,407,539,094,586,127,555,290,339,
198,891,915,498,143,794,471,331,191,295,786,908,937,939,242,946,024,513,040,
766,098,631,376,917,897,964,786,925,570,264,292,792,672,858,804,792,758,719,
430,298,482,103,438,683,878,484,213,609,226,453,429,999,308,684,634,504,365,
378,673,740,733,979,354,262,942,584,673,863,257,637,670,365,172,409,204,697,
805,195,555,942,707,538,859,920,889,393,480,045,137,856,216,726,720,399,597,
295,882,318,046,040,488,035,953,647,427,975,205,620,144,124,482,910,350,479,
132,754,716,531,820,944,491,296,132,809,922,357,923,607,621,531,689,775,433,
012,184,678,171,967,949,184,317,134,047,903,201,028,753,957,755,173,170,277,
155,287,972,750,717,871,824,149,895,875,733,938,613,467,005,680,656,653,950,
661,067,116,876,809,617,230,420,832,980,391,720,280,860,557,322,709,535,118,
629,164,694,039,966,202,769,002,622,343,068,438,561,360,602,222,120,285,583,
968,821,396,118,934,181,708,269,510,394,944,275,970,621,194,253,050,798,250,
160,637,310,439,567,551,239,943,882,178,553,409,757,998,564,486,651,279,503,
755,886,681,780,510,087,568,673,707,070,084,576,143,701,638,912,597,881,224,
554,649,934,723,789,537,906,599,801,927,556,933,270,292,995,145,640,708,244,
572,415,753,317,134,383,962,202,326,328,266,221,371,411,877,169,096,132,137,
221,767,355,746,779,265,516,649,447,324,738,600,241,096,507,757,558,597,804,
441,981,897,733,925,190,554,345,106,818,350,479,349,484,199,872,249,468,452,
479,250,241,273,579,614,454,772,352,274,887,288,332,777,593,292,859,203,731,
084,936,025,767,854,753,657,223,862,122,582,297,791,530,934,499,996,183,893,
000,750,173,598,228,321,881,561,222,532,882,792,055,225,933,929,991,259,189,
438,996,413,561,631,203,714,563,514,222,686,893,929,698,937,450,124,880,395,
588,897,469,666,900,142,413,586,886,792,236,431,876,536,863,466,215,882,271,
587,634,844,086,664,609,687,697,271,123,935,617,966,951,086,780,194,018,999,
724,895,923,540,683,069,464,767,105,275,893,673,465,594,694,935,840,087,989,
257,875,250,797,022,214,571,577,728,435,187,142,454,646,979,367,836,782,305,
025,928,801,066,967,347,333,152,714,460,951,284,931,679,909,271,067,592,657,
332,114,791,645,269,211,539,601,283,261,821,491,576,862,317,929,450,650,293,
080,525,589,733,446,601,992,977,894,922,763,750,513,457,255,022,482,521,535,
862,526,353,242,771,180,690,530,285,459,755,104,833,452,377,948,552,535,523,
318,807,570,668,886,514,443,523,904,296,334,464,632,334,820,369,842,737,757,
910,595,544,744,534,638,296,024,759,548,356,035,604,003,776,468,882,934,467,
274,032,174,316,405,537,987,728,602,310,975,734,800,942,743,053,536,521,416,
011,917,446,137,484,405,237,211,114,345,985,797,344,726,233,679,830,630,301,
582,687,343,087,660,282,021,863,948,614,457,369,806,507,850,638,599,067,482,
843,295,693,657,633,223,695,888,335,042,505,650,012,177,083,533,549,668,140,
425,544,232,755,710,800,667,608,659,669,819,931,506,962,537,222,238,762,964,
283,362,348,544,216,221,743,382,525,978,516,593,390,233,309,514,980,113,548,
784,083,758,325,287,147,662,570,410,645,263,872,408,226,237,464,639,645,986,
696,922,820,705,314,348,083,947,314,906,061,680,498,452,201,157,412,082,705,
859,837,147,930,370,892,731,794,901,825,779,176,446,120,333,267,486,596,444,
801,314,101,789,399,557,295,546,212,164,674,291,955,596,623,801,102,215,428,
871,116,300,168,611,921,794,416,504,676,017,659,488,592,220,668,237,307,683,
661,881,520,112,860,664,880,068,965,361,586,914,436,134,200,067,278,797,908,
594,652,110,069,358,831,234,300,141,123,564,626,014,801,820,080,257,755,807,
021,718,073,101,765,607,501,944,198,120,628,169,710,177,345,463,169,549,535,
632,031,735,692,256,957,540,248,387,607,891,505,694,082,188,826,704,161,679,
257,847,532,480,497,666,876,428,015,236,579,609,170,817,675,552,292,825,993,
986,748,786,852,587,586,456,847,889,315,370,897,412,979,676,037,982,692,651,
057,105,368,678,501,013,232,389,701,346,663,521,121,883,156,277,661,518,728,
367,803,690,789,486,937,410,376,761,808,150,350,238,929,117,283,202,046,707,
643,783,778,776,262,190,060,835,331,267,745,763,302,935,443,166,151,463,489,
475,482,175,691,120,545,364,006,733,821,097,155,188,215,734,085,717,587,730,
238,461,484,734,559,832,396,199,337,285,707,689,035,085,605,476,409,432,340,
437,869,801,799,377,950,331,481,175,525,165,006,771,482,076,589,708,715,417,
480,271,354,789,520,246,715,927,027,093,558,139,519,865,010,706,812,189,437,
177,604,570,591,181,388,633,148,553,621,267,363,950,612,727,164,043,105,998,
568,013,032,220,162,038,189,596,479,331,305,530,883,477,738,617,691,480,150,
051,781,440,123,567,065,861,848,447,388,567,332,923,446,312,785,073,641,908,
852,758,252,553,896,046,511,062,032,966,113,404,426,811,154,173,487,611,963,
487,758,085,587,061,026,646,108,309,050,026,357,753,044,532,394,348,476,514,
197,930,744,510,004,566,193,433,362,172,187,139,475,106,585,363,644,641,895,
189,418,443,145,734,946,900,905,261,375,969,120,627,322,375,772,591,451,483,
196,765,557,365,359,014,263,113,805,069,238,201,199,315,182,333,257,108,606,
798,607,237,525,521,596,684,508,643,196,624,839,921,443,060,235,403,068,353,
656,402,414,415,520,120,115,246,393,872,815,244,899,126,007,714,561,821,350,
837,129,733,009,547,775,291,015,747,316,494,641,459,908,511,646,891,633,495,
953,510,228,911,514,823,179,730,597,181,035,674,414,312,708,467,433,492,255,
032,552,205,159,864,222,758,120,884,336,659,510,438,432,981,952,402,956,723,
599,950,995,240,174,801,363,994,816,484,068,953,515,987,161,100,587,355,737,
274,593,248,143,788,434,476,794,835,147,507,295,819,787,437,579,778,218,864,
248,829,005,036,694,597,420,460,803,597,475,600,542,662,491,998,727,443,284,
178,507,726,008,605,001,425,063,544,634,196,892,196,262,784,630,181,092,037,
064,908,252,838,372,171,233,550,287,846,194,388,214,712,767,915,067,403,524,
286,959,265,655,665,696,039,574,081,347,012,049,634,167,930,941,882,232,322,
613,661,170,434,354,363,425,248,726,091,180,222,830,959,929,875,214,660,793,
148,818,472,726,365,275,329,138,683,883,993,254,580,955,618,771,988,714,268,
299,959,512,976,577,344,265,633,013,349,983,409,659,388,696,330,372,648,771,
229,820,031,540,553,610,972,502,762,176,630,357,525,636,312,451,155,340,063,
417,879,055,298,185,902,826,321,733,994,954,864,265,759,726,679,880,314,954,
058,712,029,693,905,724,955,630,094,569,571,373,904,913,052,645,746,529,421,
026,130,222,703,002,271,455,770,604,853,501,591,354,594,923,091,247,595,683,
388,366,417,468,866,941,025,522,704,719,000,295,699,148,928,629,089,203,285,
315,125,382,498,587,269,943,556,000,612,950,663,051,909,446,337,777,742,612,
867,470,769,878,623,577,510,896,595,876,405,558,500,689,794,916,551,242,850,
995,557,557,784,972,844,467,356,803,169,989,250,294,996,342,394,290,417,339,
770,924,560,577,493,440,498,631,815,964,574,564,647,812,795,431,454,230,857,
745,283,511,287,278,854,170,726,606,975,201,643,670,148,133,962,247,014,536,
405,609,147,319,427,874,969,456,562,940,601,896,102,598,796,730,156,563,691,
298,625,938,580,150,779,893,651,894,744,675,561,666,676,556,978,633,343,898,
149,903,738,549,056,452,745,206,315,519,674,406,036,792,451,530,826,860,589,
864,705,720,760,590,094,206,279,645,487,737,204,669,535,003,574,476,807,644,
616,413,444,456,266,626,877,430,687,535,938,361,330,595,269,606,189,955,174,
909,504,996,414,123,361,940,970,310,528,418,490,746,558,914,571,611,498,848,
302,127,076,386,601,459,397,796,603,236,337,591,540,130,864,018,151,597,898,
783,377,895,992,647,011,379,615,000,997,842,392,250,869,012,460,352,748,211,
814,007,156,704,414,873,735,709,191,941,165,214,336,198,906,011,448,369,694,
618,685,006,284,943,739,500,627,600,410,895,521,542,539,985,901,011,664,152,
686,140,478,413,766,626,235,402,206,694,130,758,629,035,147,748,254,619,919,
516,666,038,670,086,927,113,837,802,236,620,083,101,924,441,304,333,145,455,
343,308,580,479,456,106,181,211,298,216,110,970,149,179,915,420,435,252,319,
495,293,745,555,373,180,978,331,935,405,237,765,936,870,058,922,451,988,000,
880,074,556,730,805,177,310,662,934,113,781,245,525,686,603,447,414,267,152,
076,973,668,067,730,720,606,825,741,538,776,465,819,048,294,160,616,609,581,
521,584,513,123,556,695,373,720,163,234,301,209,311,745,772,224,516,027,726,
306,986,754,523,682,743,081,599,770,719,635,614,901,666,707,004,093,093,682,
355,361,288,382,700,791,219,250,716,070,804,570,188,132,574,639,049,421,119,
444,013,023,572,222,444,286,047,435,769,915,519,195,116,686,829,049,740,572,
575,992,783,372,729,132,147,091,608,324,267,321,346,166,659,255,723,617,333,
003,709,041,800,895,974,885,501,002,606,682,521,018,202,786,897,631,714,232,
900,555,717,407,864,951,636,875,991,567,340,076,797,866,806,463,427,983,239,
572,653,225,862,821,098,564,962,426,235,581,423,514,690,832,171,332,920,390,
080,168,532,481,251,760,267,275,141,052,782,537,641,675,957,751,122,450,712,
886,075,425,846,879,342,057,260,319,894,677,295,591,159,036,367,441,904,842,
015,212,815,945,245,690,569,112,238,085,416,083,665,569,680,404,790,151,907,
996,917,125,618,165,976,367,300,467,679,162,661,918,130,134,285,538,218,565,
582,876,012,714,526,193,421,139,355,432,475,641,842,603,287,140,556,637,997,
343,367,487,679,899,819,856,701,257,954,402,418,991,315,575,448,611,303,882,
915,104,547,666,561,798,032,609,674,318,116,364,676,658,166,694,700,572,994,
821,236,289,887,464,025,373,741,076,358,429,222,425,379,119,955,738,642,301,
940,717,935,270,383,501,060,257,200,358,849,666,566,725,154,172,801,301,578,
484,777,424,851,671,104,528,435,697,968,915,683,948,657,777,845,679,607,219,
500,471,157,250,892,422,500,648,047,711,719,144,595,860,852,735,348,461,184,
499,419,279,610,401,714,316,862,117,483,987,531,837,458,007,086,654,607,921,
345,541,014,875,427,372,998,858,754,130,502,210,155,206,909,308,463,924,938,
184,038,527,173,766,391,217,559,027,766,776,431,216,657,311,676,343,735,438,
638,385,063,122,296,603,361,375,024,902,651,642,550,581,723,231,409,840,737,
387,429,895,594,513,665,265,814,994,174,258,296,636,180,248,341,857,127,015,
083,842,112,158,595,603,325,581,362,585,698,757,343,195,301,906,221,724,058,
072,891,163,106,020,513,128,009,321,931,007,502,502,732,654,346,431,636,941,
478,485,630,490,344,677,358,258,617,036,915,802,224,040,725,551,375,224,001,
728,904,862,434,773,871,419,315,114,851,164,539,171,001,760,679,207,576,650,
932,388,373,585,490,921,541,302,005,730,761,492,674,355,166,549,671,393,944,
397,108,712,464,130,253,961,444,385,430,749,497,937,971,937,459,893,808,070,
337,640,081,316,423,550,232,690,634,405,491,385,628,879,360,683,128,769,666,
550,062,813,843,420,807,760,992,120,052,902,437,978,877,850,110,889,093,399,
806,933,668,568,420,123,478,655,464,909,671,049,562,184,204,967,469,738,215,
214,361,259,504,486,945,243,209,251,974,481,587,792,256,297,430,897,708,415,
452,806,302,364,908,032,915,257,816,128,751,141,493,355,017,410,228,050,343,
409,156,350,968,877,911,332,585,256,462,870,016,151,594,291,976,865,748,749,
018,610,491,288,279,378,854,675,964,323,944,433,443,783,454,840,490,277,100,
581,821,378,394,502,017,637,669,026,243,983,294,039,164,632,932,668,050,905,
551,194,304,394,838,944,155,078,125,913,014,587,968,221,137,679,306,149,040,
690,460,830,129,733,912,697,134,246,782,565,604,975,625,314,252,372,474,594,
620,219,481,459,734,587,941,488,036,313,660,438,612,802,130,925,490,663,259,
397,645,623,680,724,393,782,409,914,803,474,056,798,719,626,048,283,452,539,
465,962,123,044,546,591,324,112,423,762,394,452,622,132,043,987,663,147,893,
851,584,483,712,571,505,940,522,417,160,612,569,586,756,671,803,909,049,430,
496,322,666,426,701,791,016,978,930,239,371,779,261,844,990,572,136,443,023,
469,025,032,739,414,978,728,926,469,948,733,251,592,029,337,970,152,978,866,
470,106,426,375,923,910,182,613,234,875,041,319,542,370,050,689,810,305,618,
584,490,054,548,067,661,327,426,276,031,713,005,874,280,600,201,504,091,856,
589,432,858,420,812,874,133,099,734,595,352,744,825,413,642,290,552,411,291,
318,037,883,239,139,394,000,713,429,647,979,790,508,700,800,022,036,499,168,
325,790,317,222,069,249,043,931,768,233,849,485,344,124,012,131,871,192,445,
088,492,625,542,140,249,450,235,281,565,859,979,397,937,444,090,697,515,580,
357,851,052,976,636,328,150,205,642,906,701,192,741,273,778,477,801,895,938,
640,970,394,466,129,496,556,511,405,865,953,983,031,870,007,650,511,774,257,
533,713,525,210,641,915,685,457,978,481,526,941,520,181,890,800,176,792,802,
442,722,941,013,672,091,983,923,505,718,858,829,930,344,176,458,266,868,727,
074,068,819,805,705,201,639,154,163,246,917,263,462,902,086,302,954,501,299,
201,586,213,645,962,173,494,095,625,246,807,174,730,773,870,238,374,320,638,
102,697,505,915,713,773,746,503,339,147,151,940,954,161,660,104,759,362,661,
021,960,186,079,258,037,202,737,209,978,980,161,096,467,251,325,308,506,462,
259,410,832,998,296,078,345,360,983,992,750,312,503,836,006,472,028,804,969,
113,014,856,600,895,158,395,701,962,219,849,541,552,210,137,167,582,073,728,
769,845,576,292,601,525,281,366,618,121,130,656,134,181,064,054,118,773,197,
591,134,871,693,585,064,182,906,738,621,339,223,577,062,818,142,236,703,564,
671,696,664,377,664,812,100,717,400,196,205,419,798,663,745,162,080,202,015,
795,173,503,667,226,937,327,592,571,618,331,400,661,309,410,425,321,689,020,
601,624,892,542,147,629,903,762,911,872,743,663,193,180,858,620,242,124,191,
897,192,450,472,562,923,385,311,388,101,895,115,803,366,224,421,998,823,102,
203,618,414,192,172,261,257,695,683,272,782,665,175,678,169,096,617,384,087,
875,111,663,856,807,888,372,895,421,489,246,345,240,030,710,459,824,123,822,
048,525,298,262,228,916,864,186,022,510,123,323,346,696,563,612,590,300,951,
307,428,809,061,868,959,259,014,118,588,293,871,646,538,810,337,094,951,934,
551,127,833,192,041,943,209,017,532,447,447,403,251,609,469,508,952,346,786,
765,266,230,079,910,482,643,860,425,674,068,534,853,680,131,349,895,411,000,
467,940,569,407,913,738,520,408,496,431,905,711,566,957,196,280,929,120,973,
874,920,491,665,228,999,402,123,879,017,187,320,392,931,478,141,538,655,824,
898,745,145,878,140,325,352,787,492,733,516,156,434,985,562,439,837,600,285,
316,891,850,188,395,703,301,249,199,918,495,602,526,103,428,657,829,960,416,
223,690,462,230,517,407,684,893,114,527,696,404,191,359,434,600,864,726,153,
518,992,448,103,773,191,474,795,724,143,361,682,928,464,085,367,719,220,188,
497,106,007,160,536,533,219,400,174,769,994,250,050,332,557,372,188,481,523,
375,856,415,608,430,318,017,058,275,846,480,586,836,926,463,282,559,138,060,
257,625,838,444,938,906,426,832,609,452,486,296,756,320,781,758,599,999,539,
393,140,438,132,233,826,957,859,703,819,000,071,093,592,590,974,682,472,163,
563,733,455,554,783,702,892,667,326,805,286,087,534,109,338,186,481,727,883,
836,268,545,268,045,176,495,529,028,645,203,923,630,234,729,183,920,229,542,
128,582,407,766,773,255,429,329,270,387,649,157,456,416,059,255,718,711,179,
843,135,803,027,403,700,485,495,895,827,719,276,140,597,424,738,286,122,282,
948,993,645,185,379,668,909,409,760,964,113,404,083,763,444,804,897,224,548,
217,016,823,973,847,841,618,497,568,294,932,440,877,247,684,840,431,217,468,
530,443,638,464,072,900,524,052,712,779,469,391,538,503,995,305,991,007,585,
962,115,753,282,273,954,982,111,884,316,798,441,089,382,883,652,109,003,974,
890,033,047,634,240,372,899,719,499,270,073,640,532,470,528,445,739,654,527,
758,196,482,048,533,696,360,826,189,565,057,982,780,469,078,875,392,031,981,
203,900,369,524,300,570,036,054,567,006,940,855,300,301,256,542,005,724,279,
088,097,161,339,011,769,802,709,118,734,722,348,639,000,632,317,513,480,049,
821,354,631,813,455,324,982,328,929,559,539,674,312,270,367,949,093,796,845,
820,131,882,955,775,031,500,038,587,294,428,822,172,868,001,461,965,543,448,
182,853,523,364,421,981,222,073,320,256,792,541,809,340,676,015,115,285,842,
231,210,069,738,192,906,611,811,738,396,800,354,254,688,037,969,036,764,028,
775,899,580,681,143,753,301,323,923,528,050,872,532,606,284,262,414,974,754,
629,871,943,373,328,095,407,262,048,191,655,201,618,118,663,671,583,521,108,
519,267,905,586,853,364,418,774,451,635,476,803,737,731,792,129,555,662,232,
322,916,333,345,042,052,701,877,800,480,367,329,756,224,500,779,394,251,066,
027,053,614,123,996,820,824,308,412,625,310,766,106,874,604,772,424,563,686,
481,859,852,825,010,051,853,292,039,968,262,110,434,214,749,418,302,876,491,
888,567,215,820,293,365,190,852,492,439,237,922,166,524,251,964,750,976,093,
917,930,252,059,631,188,667,419,876,795,912,066,959,121,832,084,345,690,361,
733,779,096,557,329,333,040,492,560,624,837,511,351,748,948,878,967,028,459,
203,711,978,706,126,505,755,056,837,033,678,943,390,861,592,131,036,068,176,
433,751,102,466,759,022,972,585,063,877,267,820,784,581,881,439,380,767,368,
196,460,481,610,082,916,302,215,196,967,516,722,260,503,658,198,865,653,518,
525,983,382,377,917,517,232,192,922,196,659,327,285,477,009,346,548,282,989,
733,620,383,724,134,089,247,081,586,892,322,077,446,816,950,159,960,604,528,
749,527,316,024,151,770,700,813,661,141,965,900,066,828,630,893,013,385,649,
481,695,552,639,652,541,716,664,881,896,146,561,176,605,153,018,927,441,457,
905,053,212,879,899,360,707,133,258,134,158,074,390,819,426,021,595,805,978,
107,413,926,395,925,413,816,778,336,708,988,911,410,907,440,957,522,375,070,
963,089,839,637,255,720,995,649,407,490,370,101,817,188,234,232,938,283,883,
146,392,882,425,579,012,106,906,320,202,967,972,775,350,055,901,445,314,436,
293,693,356,292,500,218,156,170,449,401,373,013,978,141,293,677,658,089,876,
114,254,475,064,871,058,625,716,326,545,718,618,949,945,287,269,522,888,104,
971,671,278,443,197,843,424,717,722,506,669,030,201,433,155,217,423,465,234,
945,040,919,562,004,491,795,471,310,397,293,552,813,042,987,267,712,060,760,
500,628,364,442,624,648,370,695,501,482,484,985,885,018,301,342,695,094,060,
505,627,507,544,020,502,918,334,793,958,139,536,553,485,409,227,698,754,065,
391,028,235,081,587,580,024,292,476,176,446,448,451,917,380,489,730,382,492,
177,337,753,778,193,116,347,477,393,804,741,301,076,052,160,906,710,492,704,
720,418,973,392,071,804,405,530,771,184,590,367,446,889,619,909,587,830,056,
399,730,265,198,612,667,578,610,132,543,977,141,530,801,410,732,600,485,867,
975,172,178,896,922,254,522,983,935,368,100,798,536,678,297,461,361,407,693,
490,329,424,548,062,096,637,041,950,223,148,834,902,783,086,854,275,997,722,
151,044,398,766,787,648,390,767,573,297,498,997,988,442,338,998,386,534,231,
434,177,701,262,067,931,452,147,909,846,788,849,280,003,213,747,885,748,608,
598,753,959,067,063,502,006,388,517,367,220,117,973,633,512,366,685,386,943,
662,817,819,708,143,092,060,760,030,161,068,866,743,781,963,863,270,510,555,
527,443,661,398,602,468,642,955,126,108,960,322,018,559,768,652,619,086,306,
867,364,284,230,630,587,577,534,892,336,864,045,930,563,059,637,454,427,176,
726,644,035,351,947,000,493,149,415,015,270,336,586,304,740,430,699,303,018,
834,779,099,589,521,355,844,331,797,973,958,640,705,782,406,459,757,652,889,
970,883,903,556,779,444,643,156,328,090,556,262,730,923,510,938,366,767,772,
860,128,074,449,635,613,293,218,160,371,572,910,428,617,786,788,941,072,186,
678,274,732,563,300,225,094,069,297,402,474,850,709,073,151,657,018,476,970,
450,463,839,126,191,314,701,789,545,262,111,748,670,798,254,003,473,522,012,
463,963,498,448,995,963,228,829,242,735,251,129,380,606,312,332,719,189,442,
234,261,831,444,270,993,300,524,807,895,199,243,726,970,803,146,719,071,547,
177,616,528,270,075,836,668,118,981,680,626,843,494,460,811,864,341,325,264,
803,233,511,768,347,183,163,607,974,461,471,172,898,863,703,974,621,250,677,
746,956,045,819,160,064,785,974,202,969,463,368,859,213,912,994,430,187,495,
313,529,648,775,429,148,188,584,395,676,332,769,564,513,689,555,082,905,009,
487,644,945,316,590,263,282,893,928,468,921,096,028,197,104,962,208,066,500,
124,242,830,993,450,338,903,910,055,007,995,278,018,756,453,138,432,177,971,
687,393,711,677,977,553,297,686,520,497,391,879,696,164,222,847,945,585,857,
082,545,708,251,047,276,078,632,827,017,523,751,311,813,167,681,929,833,174,
954,080,230,797,467,611,283,133,982,599,343,810,526,191,188,649,211,864,686,
524,393,537,253,863,367,373,992,871,854,117,613,846,413,160,365,358,699,181,
338,692,073,547,899,591,805,621,290,242,412,406,171,517,515,383,443,560,994,
061,819,135,471,737,777,154,187,146,405,033,273,164,644,638,985,941,811,413,
522,178,149,408,625,167,951,793,664,213,540,289,868,429,509,714,745,969,059,
574,126,348,241,013,251,537,796,879,982,119,469,300,745,566,994,220,065,467,
885,566,765,804,283,389,580,304,484,739,236,741,497,473,001,734,046,303,668,
710,475,139,397,446,760,737,762,182,265,576,523,530,398,104,143,168,564,074,
796,217,090,759,115,680,265,756,383,146,429,958,269,041,448,583,049,286,292,
687,897,600,754,682,223,903,231,972,414,486,602,394,702,105,223,593,261,588,
474,838,991,088,965,156,588,088,151,576,409,162,907,790,905,648,568,299,974,
689,717,763,117,659,099,766,123,758,911,057,929,033,763,356,999,572,697,702,
458,229,381,362,688,855,481,296,490,608,907,215,654,709,182,051,600,804,489,
224,225,190,803,794,428,224,709,877,356,936,655,271,075,274,097,344,107,940,
432,039,188,554,037,259,095,664,876,048,293,418,762,954,553,769,631,641,483,
940,756,999,403,010,824,189,026,698,988,077,389,531,969,323,781,799,923,709,
889,007,889,241,805,114,446,296,491,418,324,870,103,988,340,259,350,063,044,
283,612,833,364,306,410,981,244,667,522,951,398,891,240,430,323,268,562,256,
652,963,446,971,281,293,109,597,626,974,750,092,384,211,546,556,575,515,096,
790,198,086,259,798,249,141,526,171,777,445,757,645,522,656,575,209,559,753,
985,511,130,659,671,857,494,878,804,636,162,653,495,184,794,859,388,793,405,
098,905,515,609,384,882,572,943,794,829,679,004,852,013,466,177,097,163,225,
919,959,012,590,458,264,256,630,414,779,047,339,934,140,081,884,785,266,152,
575,099,857,356,034,001,002,317,109,167,442,763,558,767,673,255,078,843,931,
944,691,522,217,939,240,528,236,698,593,699,828,180,334,847,864,955,716,484,
217,913,350,107,004,752,487,227,421,713,426,652,856,580,842,926,668,212,233,
059,757,719,731,528,555,166,432,079,151,909,850,160,463,792,714,142,922,388,
481,462,696,531,972,910,568,411,946,821,501,772,927,741,951,463,718,959,924,
013,531,693,081,762,799,544,753,306,887,636,913,618,225,828,337,676,477,989,
492,626,916,231,011,653,157,341,055,194,400,407,373,315,142,772,326,242,517,
007,908,854,024,016,138,539,578,038,056,778,939,176,034,049,349,957,159,919,
012,648,696,637,252,003,279,099,523,710,530,617,375,111,376,740,421,230,332,
352,506,424,505,552,764,411,512,440,842,877,578,838,452,939,182,512,163,536,
223,019,339,950,439,378,685,331,985,987,728,795,020,063,086,513,906,628,120,
193,433,169,768,390,828,977,145,940,497,944,183,929,061,382,213,299,535,843,
174,845,140,174,803,651,320,840,909,537,038,033,621,995,597,843,170,202,472,
941,348,692,599,641,814,377,631,320,440,720,628,245,542,661,866,066,855,145,
869,671,655,138,694,045,270,134,668,572,577,189,157,280,919,177,603,999,299,
225,279,017,854,712,365,764,556,705,400,669,072,561,376,241,389,602,741,876,
725,588,889,083,403,565,676,738,480,855,545,100,469,202,496,444,253,644,830,
636,613,735,005,255,694,847,820,819,130,151,841,954,063,702,013,841,360,472,
672,506,019,600,822,997,880,258,440,139,053,449,882,608,041,290,365,874,144,
556,330,400,784,985,897,322,813,811,580,141,627,043,687,068,295,908,876,508,
774,312,473,675,007,772,518,735,779,297,896,900,632,566,503,975,616,171,985,
028,964,764,578,535,536,567,619,161,065,032,812,961,188,761,765,770,005,786,
461,139,008,861,446,321,349,467,291,487,312,205,725,852,749,190,800,730,392,
596,557,302,739,035,245,295,152,193,801,028,706,055,124,657,516,411,002,991,
029,896,421,831,982,575,014,461,374,351,449,156,060,253,588,145,107,958,820,
586,388,617,410,394,868,241,975,016,005,506,232,967,839,185,884,011,223,018,
764,997,353,873,621,536,228,368,249,862,395,729,897,561,407,489,688,954,590,
143,661,537,902,645,261,311,659,867,847,211,804,960,297,510,070,869,169,523,
295,017,885,072,938,593,022,655,098,110,429,292,819,159,063,258,762,591,980,
030,100,312,466,602,815,668,447,075,622,809,903,802,408,144,747,897,808,191,
623,147,895,913,840,858,577,951,608,739,938,500,282,443,527,754,472,984,266,
358,345,034,458,103,721,948,058,464,259,522,940,057,707,245,546,410,873,227,
033,421,554,272,253,046,110,599,482,913,390,158,364,541,311,653,092,732,581,
233,402,284,207,166,281,164,957,053,198,523,290,404,310,460,511,504,718,736,
626,897,810,410,462,039,601,970,487,227,375,058,198,924,053,445,572,416,150,
526,991,907,923,253,294,139,009,509,782,319,149,070,159,296,238,881,621,865,
584,675,843,649,593,409,210,433,192,331,493,132,184,338,078,963,045,272,616,
670,912,698,908,138,857,713,197,840,987,660,657,057,208,667,046,275,883,350,
848,194,480,529,680,602,581,871,252,215,377,387,418,009,554,832,142,568,447,
858,329,630,912,730,624,379,474,776,267,968,633,875,422,106,414,856,984,583,
225,056,131,932,810,382,347,181,740,752,761,548,013,477,219,139,751,541,869,
631,426,523,298,530,609,445,088,011,400,859,521,210,527,841,141,443,445,012,
440,687,014,084,723,295,064,571,577,025,808,694,644,633,341,457,600,236,460,
155,745,413,545,662,108,632,089,680,167,301,260,014,151,569,237,483,051,150,
454,247,164,428,954,848,470,793,998,330,506,302,294,585,417,578,370,560,036,
234,941,441,954,861,595,662,877,281,764,752,550,226,795,419,478,423,808,654,
366,709,925,665,070,724,967,071,097,572,842,542,730,822,316,422,620,104,658,
370,723,743,143,179,738,937,489,325,677,670,530,272,800,278,217,785,944,532,
401,193,839,694,043,985,261,769,998,071,527,247,461,452,827,528,609,639,716,
767,568,110,559,346,070,965,770,581,390,061,495,070,883,358,886,865,537,499,
844,155,497,459,040,649,265,017,690,573,885,804,745,183,546,190,088,143,043,
427,375,759,464,089,339,604,159,490,196,346,118,010,320,157,485,399,380,536,
418,202,499,706,193,940,792,834,946,395,963,196,904,714,942,862,502,043,868,
491,425,253,607,650,495,570,053,586,455,354,594,759,993,836,307,842,248,390,
735,013,563,319,468,009,751,601,684,896,874,747,463,393,285,598,355,472,801,
558,278,350,516,995,591,467,383,920,098,359,810,265,612,132,021,905,598,379,
979,716,528,094,556,205,006,639,239,932,598,860,041,422,510,541,806,222,481,
904,357,248,029,034,686,125,244,052,367,670,852,792,081,266,333,981,279,583,
738,895,165,167,426,496,752,575,069,522,987,239,088,532,144,542,526,887,241,
343,504,478,185,781,346,164,806,582,157,592,136,891,499,565,397,197,772,606,
106,424,524,349,534,851,518,247,538,577,630,097,735,615,683,575,393,305,859,
094,333,915,728,626,394,818,694,141,955,463,281,620,690,127,613,418,709,725,
220,315,385,827,499,033,676,297,901,076,233,874,746,890,854,314,330,974,171,
625,302,700,583,014,573,718,725,481,060,222,240,106,973,321,272,558,565,941,
501,289,279,929,674,457,149,161,481,621,552,610,284,089,248,740,494,193,524,
427,132,515,294,390,704,448,575,536,204,518,544,241,714,189,923,990,236,569,
398,921,453,913,833,202,661,627,373,571,234,437,413,717,327,723,080,941,878,
391,491,773,941,519,766,465,205,098,675,133,157,324,212,089,309,903,320,964,
038,033,222,590,907,624,714,470,593,049,225,205,922,915,872,604,297,782,173,
714,749,804,426,109,794,287,112,180,040,637,886,142,927,542,176,985,268,947,
935,569,223,586,639,021,305,759,974,488,133,117,404,417,115,145,819,505,459,
162,683,119,466,742,269,377,546,317,824,776,272,099,546,172,749,211,241,656,
943,794,295,541,470,234,146,177,466,130,995,494,119,195,108,212,045,891,639,
938,177,635,302,051,158,955,109,376,075,955,841,351,498,915,873,985,963,200,
180,316,118,124,809,465,176,034,929,254,468,541,744,248,626,067,794,458,388,
787,889,902,542,852,151,944,091,791,307,287,188,910,583,757,767,189,601,082,
372,877,555,912,080,513,066,026,476,143,263,494,870,711,231,517,441,389,168,
588,769,537,726,024,598,732,921,934,211,369,905,422,793,828,385,346,234,196,
756,151,306,915,084,835,963,025,999,096,799,449,952,079,813,055,217,114,443,
745,923,514,334,487,757,850,941,071,648,477,476,873,579,142,228,970,490,825,
659,555,446,011,141,380,096,789,196,750,253,369,772,408,973,336,450,820,374,
472,670,116,469,530,702,962,232,210,902,608,198,564,409,796,082,524,739,301,
876,883,668,330,720,556,387,592,256,663,131,325,664,926,280,561,740,113,436,
597,015,403,882,865,670,822,557,487,424,734,008,719,032,886,143,130,066,718,
707,883,739,394,706,760,627,740,831,478,556,308,631,881,742,001,029,183,779,
880,295,735,438,045,205,026,337,261,338,239,722,029,123,988,466,831,890,384,
871,022,046,358,685,208,802,237,495,524,436,286,977,332,973,672,191,931,227,
157,992,518,912,096,663,354,652,089,335,079,210,334,088,217,282,514,435,401,
149,420,773,371,366,188,097,375,569,205,448,591,243,915,582,512,061,041,707,
324,033,291,851,595,454,281,476,085,246,344,073,401,924,669,134,065,034,407,
378,364,980,550,423,280,697,424,092,707,849,211,259,313,637,531,534,972,896,
517,908,048,281,224,320,909,554,533,721,262,417,082,081,134,457,021,948,820,
132,829,159,377,094,801,516,526,267,794,367,519,044,548,971,371,006,758,493,
444,288,159,645,627,317,542,714,163,484,754,771,282,937,089,200,500,069,730,
704,866,595,885,021,329,767,290,943,219,393,635,488,622,877,702,180,659,010,
570,004,911,619,488,721,787,558,056,807,638,739,829,032,513,612,481,593,113,
119,035,152,471,672,099,459,733,022,918,771,903,462,918,504,973,885,013,949,
272,097,291,346,760,755,925,168,708,500,138,818,533,565,472,141,635,383,308,
078,241,556,360,068,128,186,354,268,403,159,216,267,088,369,152,829,169,984,
566,020,578,302,266,036,690,110,813,918,640,576,372,244,962,037,219,653,476,
369,489,746,752,953,305,912,733,877,763,620,755,123,404,472,328,788,374,504,
566,340,157,928,655,177,980,497,566,287,462,837,473,155,872,397,122,069,990,
318,178,999,882,619,766,214,303,903,132,814,879,057,499,509,136,090,436,209,
984,712,107,620,845,835,789,186,010,656,287,413,074,913,214,550,159,724,642,
372,551,637,735,666,898,858,546,079,629,847,502,806,908,818,272,841,489,056,
094,372,426,390,343,648,612,467,588,408,820,731,950,953,560,382,393,037,024,
707,595,832,872,512,425,321,703,419,239,774,049,441,379,299,732,514,035,766,
929,120,667,906,678,784,958,332,173,105,103,330,187,308,383,226,355,206,727,
269,114,923,612,023,068,973,089,620,252,536,553,661,155,155,582,540,427,468,
839,819,475,115,925,745,367,019,940,542,323,502,515,639,746,721,811,660,805,
594,073,341,638,105,630,075,570,188,895,607,867,602,628,700,029,713,167,948,
097,455,269,456,709,208,694,059,986,988,026,262,922,497,963,749,771,962,538,
108,956,690,141,829,723,859,847,245,314,874,373,650,615,036,784,357,169,432,
107,746,326,945,829,596,104,404,531,313,214,149,249,530,790,345,752,814,634,
357,641,475,684,960,431,637,125,514,652,440,126,396,651,902,308,692,216,433,
177,342,150,468,675,116,995,812,024,949,309,208,531,742,398,871,648,083,672,
837,386,019,833,030,488,289,570,635,759,674,331,787,773,693,379,697,514,110,
545,540,649,509,302,440,089,895,918,944,093,933,345,789,171,362,390,996,156,
509,593,259,653,249,638,431,888,330,904,916,828,941,446,894,464,305,935,513,
245,117,929,355,720,386,506,287,801,060,846,222,260,809,105,657,817,436,405,
222,963,778,844,062,294,134,315,148,851,650,709,415,903,165,252,647,959,771,
678,651,742,949,759,831,236,168,523,402,703,201,530,759,825,837,618,270,902,
075,101,876,046,192,535,562,140,284,797,312,956,364,221,146,943,674,573,841,
167,936,952,627,425,657,115,864,695,738,094,140,071,581,070,862,840,646,869,
438,643,958,881,993,697,894,243,741,361,270,741,138,276,568,998,933,139,556,
710,442,667,951,660,179,104,180,024,796,250,523,387,579,632,661,501,041,341,
046,747,727,180,183,644,790,124,861,255,629,104,734,433,335,436,872,672,553,
911,373,343,630,547,553,728,530,017,398,893,144,098,110,113,481,277,781,218,
295,778,443,151,816,574,892,766,270,945,069,088,990,040,332,455,859,857,968,
323,192,304,491,026,671,037,791,331,796,759,243,193,346,750,315,844,911,608,
950,808,211,950,702,985,506,502,412,629,248,279,320,490,635,477,467,860,554,
198,889,440,453,162,565,944,262,108,541,387,525,120,667,479,538,105,545,444,
963,889,272,020,129,482,372,894,111,133,757,791,159,770,523,061,312,605,854,
150,050,213,270,936,155,583,527,195,324,332,191,395,040,017,673,884,485,061,
851,120,015,324,034,190,264,015,708,361,450,540,469,273,389,147,240,861,095,
012,135,490,387,802,150,674,009,591,911,764,775,511,711,075,220,811,213,824,
099,713,125,943,670,663,108,062,018,098,858,356,685,963,437,823,487,050,509,
442,571,117,897,764,744,433,294,739,581,975,942,044,468,550,723,791,288,330,
587,829,148,398,616,480,649,583,180,457,475,285,089,979,670,695,743,934,593,
170,556,958,550,388,487,280,917,775,534,148,478,276,221,524,913,022,293,105,
188,223,550,927,992,744,813,414,509,279,689,846,576,334,327,356,308,381,943,
516,483,505,202,556,157,755,948,760,644,054,837,519,046,833,170,653,041,243,
775,940,159,061,534,609,577,758,820,599,281,466,058,949,282,921,524,230,907,
390,860,973,459,367,349,590,383,359,253,946,466,606,013,630,440,614,677,458,
824,131,558,242,226,942,499,183,469,080,265,858,660,318,200,443,436,706,549,
943,138,808,049,124,589,940,258,697,458,766,962,049,549,147,940,842,668,804,
181,616,025,163,540,602,815,139,909,717,094,197,791,875,147,350,850,836,966,
109,672,418,116,091,996,286,551,512,160,434,287,928,254,312,624,584,341,539,
887,342,885,761,984,698,664,855,386,995,587,473,800,676,807,260,161,831,438,
870,906,852,033,658,606,198,482,293,237,943,809,887,121,131,630,486,242,690,
480,528,979,158,083,754,253,758,081,591,453,111,530,134,138,592,256,801,449,
544,029,359,053,060,833,785,354,292,062,548,719,904,565,462,841,388,668,320,
154,703,603,682,467,969,266,654,876,020,836,462,466,126,599,644,228,247,698,
874,369,220,104,406,381,244,962,847,758,242,900,426,407,415,010,352,836,612,
949,750,293,951,773,632,737,152,103,053,424,353,552,245,573,792,969,028,472,
410,856,333,583,995,917,270,370,248,820,767,154,869,432,514,907,358,248,158,
055,558,652,867,408,505,444,702,311,996,747,693,490,094,352,347,243,761,248,
552,074,609,458,978,421,125,181,397,601,868,720,319,558,732,014,064,055,757,
005,288,134,822,448,593,401,070,916,149,059,686,020,239,230,317,475,108,671,
917,483,190,279,437,833,119,844,169,056,651,961,160,558,766,998,568,487,921,
899,347,639,462,422,369,750,900,362,571,219,324,760,235,628,270,797,898,174,
956,312,857,410,488,425,540,923,412,505,631,049,796,489,761,269,097,600,314,
372,606,339,341,671,563,801,787,906,499,430,864,574,723,914,909,247,397,524,
700,063,005,451,585,282,829,064,903,260,951,301,423,410,155,575,622,274,867,
805,585,202,812,186,013,147,877,269,423,480,460,448,522,350,159,940,409,256,
360,134,478,101,128,332,892,425,031,792,663,844,576,399,995,350,051,174,190,
170,165,457,882,421,534,646,117,663,850,250,657,436,029,082,390,553,426,994,
461,490,159,597,505,549,219,149,812,588,771,639,786,360,105,434,836,522,401,
082,385,080,703,446,223,583,479,017,124,673,774,327,586,160,738,348,277,338,
357,500,861,975,210,025,502,706,797,441,205,409,416,779,420,959,127,190,677,
144,123,481,329,842,232,752,985,238,732,012,044,780,341,078,202,368,656,975,
321,091,807,728,576,844,731,257,952,672,775,171,988,588,411,751,636,035,375,
814,117,501,303,015,672,685,591,256,558,086,920,975,609,802,138,973,580,726,
097,797,744,516,582,504,345,753,248,534,666,527,545,791,401,631,141,530,008,
783,274,978,490,279,876,230,685,548,513,098,547,592,906,073,992,956,779,150,
826,895,125,211,514,019,118,700,501,432,647,498,370,350,227,101,212,242,975,
386,928,235,432,121,930,442,111,013,348,837,136,072,003,555,924,682,645,260,
499,511,885,899,299,028,528,257,910,831,719,608,958,710,207,840,209,474,921,
410,609,687,882,046,412,188,468,334,059,725,820,714,170,448,109,610,859,572,
337,560,246,628,621,670,942,736,193,660,766,122,925,220,281,347,425,933,079,
550,768,340,516,961,899,715,073,543,521,164,985,042,390,118,721,926,365,027,
228,549,595,842,057,995,584,271,448,060,648,168,068,823,234,574,549,028,567,
475,838,201,474,505,044,194,572,992,587,582,825,459,107,330,309,967,871,680,
987,715,919,450,527,026,586,212,695,989,654,320,811,376,816,056,192,984,995,
748,563,218,244,022,412,622,040,477,603,510,509,179,417,993,160,596,154,610,
901,067,022,718,545,882,937,402,930,607,919,031,292,917,629,273,958,806,584,
582,690,709,241,556,509,454,446,173,385,798,260,882,640,301,390,820,671,547,
445,997,906,663,914,912,118,113,579,151,535,724,318,452,075,028,054,120,905,
088,476,308,214,348,129,190,796,583,753,998,572,059,747,303,092,569,450,375,
040,762,956,892,259,426,544,396,190,610,697,674,254,934,183,139,218,079,888,
500,575,780,274,332,780,175,502,776,470,003,591,023,936,978,793,716,029,411,
836,324,393,778,888,730,969,739,623,862,008,077,208,878,014,700,813,076,257,
315,888,482,674,273,039,044,253,923,314,847,936,796,531,245,509,384,839,753,
747,497,802,538,309,533,861,908,239,163,486,153,594,261,590,670,997,886,368,
623,591,756,483,532,838,026,119,690,991,564,345,144,755,012,588,932,215,389,
779,203,789,327,081,668,179,244,456,427,344,209,648,518,258,998,389,795,056,
434,239,441,935,731,544,828,359,441,016,196,560,631,043,044,212,074,941,122,
896,324,174,972,514,033,869,927,728,956,707,901,168,438,434,378,473,509,028,
887,863,647,183,376,442,581,135,622,671,403,417,547,038,161,734,173,928,156,
233,843,893,582,387,459,719,303,863,450,924,222,840,586,743,960,502,976,700,
499,558,000,634,091,502,770,958,334,293,015,188,907,354,516,019,310,517,940,
199,678,856,829,228,083,011,233,579,480,592,997,701,918,512,488,112,306,487,
225,237,087,265,698,179,294,321,124,830,949,297,404,540,915,011,605,455,520,
699,798,746,194,827,753,277,844,740,849,240,621,041,297,103,421,830,910,524,
348,135,609,507,252,815,345,398,431,083,240,672,110,439,548,014,125,123,009,
547,636,701,436,524,547,922,429,460,670,668,653,586,075,245,959,546,425,815,
868,781,347,565,547,020,282,702,364,544,262,743,138,672,375,793,773,187,199,
175,508,769,848,171,448,656,846,978,807,636,765,083,581,232,105,998,231,868,
166,957,968,404,706,537,401,638,716,860,574,511,468,580,081,575,439,635,322,
854,890,894,615,743,005,498,986,136,345,034,453,220,965,495,019,384,567,325,
941,868,975,662,378,474,024,592,008,351,356,323,267,953,383,404,154,843,408,
567,044,033,377,990,660,462,658,642,223,931,950,368,261,539,789,114,289,027,
769,919,856,320,749,861,459,067,999,494,062,752,091,858,449,223,955,377,079,
869,879,931,991,978,765,197,371,977,995,544,842,342,747,348,259,669,746,510,
739,941,891,367,453,208,884,947,165,976,027,458,650,004,996,026,869,259,152,
207,039,631,635,470,933,806,197,972,906,553,507,153,809,295,744,269,967,894,
204,523,593,376,231,092,882,298,620,851,738,138,107,454,499,691,614,067,577,
918,977,665,684,769,386,957,193,298,132,642,530,219,224,126,949,564,544,577,
687,169,252,088,241,770,099,659,712,494,733,517,726,741,630,051,360,360,935,
521,428,079,134,291,641,007,864,382,915,447,572,821,998,147,557,450,499,098,
776,973,771,746,296,401,845,140,311,285,576,256,042,814,779,892,548,650,429,
168,632,279,464,160,505,728,040,881,859,019,034,332,898,800,663,377,930,372,
635,118,066,625,526,378,184,647,989,509,930,001,085,240,658,575,146,011,572,
798,579,446,398,359,015,179,050,556,790,881,455,433,833,496,451,344,067,111,
927,967,079,013,621,917,567,478,479,708,377,419,043,194,627,292,389,633,320,
172,397,800,809,764,481,252,563,905,373,058,363,050,538,592,309,328,441,402,
572,195,235,268,340,789,754,898,740,605,286,143,433,488,868,877,905,641,360,
047,718,553,614,046,213,300,558,028,197,043,694,616,759,547,638,392,981,883,
848,331,848,154,545,787,403,190,212,969,577,592,476,630,127,053,840,000,501,
048,281,568,759,445,203,986,599,652,187,314,619,987,849,635,020,231,103,919,
373,563,571,968,945,584,654,054,150,126,002,849,399,920,956,285,594,188,228,
251,476,193,671,490,121,668,155,710,219,013,998,614,490,939,055,778,083,395,
437,323,089,760,887,146,104,424,878,861,757,609,550,554,111,305,278,139,899,
196,403,315,564,269,432,246,538,595,720,328,103,866,997,380,594,302,764,215,
053,038,854,692,067,460,539,515,722,020,614,537,742,375,935,248,016,853,964,
563,565,143,571,365,614,860,281,960,082,011,561,481,963,750,819,832,458,841,
444,023,517,909,056,771,936,936,028,460,409,679,680,160,471,394,460,240,887,
161,489,576,421,297,355,737,554,616,638,845,867,536,822,615,423,167,655,142,
481,824,515,563,253,486,400,580,445,435,631,762,251,896,390,331,294,000,074,
175,227,264,349,792,106,255,789,278,752,003,760,377,695,746,755,845,138,384,
924,400,179,709,817,037,654,180,791,098,373,502,842,883,464,571,675,868,357,
033,599,640,268,933,822,569,473,218,866,753,357,182,968,678,605,826,838,413,
567,705,256,579,860,739,959,958,040,990,549,523,637,146,782,878,702,837,899,
529,740,427,926,417,855,267,709,245,080,777,696,660,392,027,020,287,944,616,
540,629,217,402,098,896,861,845,021,827,263,035,137,125,396,924,211,197,149,
654,705,392,028,459,256,295,883,978,715,689,058,921,774,441,010,947,203,260,
024,576,768,608,521,673,999,341,929,387,006,494,546,535,887,787,839,125,849,
219,559,504,234,162,619,367,210,923,133,178,972,103,089,309,630,828,547,145,
945,210,781,943,517,726,165,372,047,310,930,974,775,441,431,201,276,458,757,
424,332,766,772,420,938,007,514,177,964,559,464,165,589,417,318,400,770,641,
135,794,764,872,607,035,835,522,646,089,614,645,784,321,912,820,451,402,850,
260,934,890,948,881,514,980,689,422,914,448,654,286,109,492,330,708,904,508,
304,481,594,819,253,838,810,408,929,847,371,106,260,047,094,849,352,097,078,
778,406,311,023,106,277,240,508,257,569,178,244,745,322,773,961,747,007,386,
070,061,319,424,602,039,850,506,294,897,063,716,006,030,253,875,494,477,042,
865,422,387,030,646,901,900,085,618,314,019,373,019,380,173,137,477,605,454,
628,515,660,729,336,905,051,440,438,830,826,152,793,822,578,820,957,987,367,
812,183,104,211,978,596,337,647,404,082,640,697,112,514,133,933,987,521,083,
322,377,051,081,114,790,952,898,573,708,250,937,532,007,162,454,705,497,149,
538,949,999,366,960,280,041,261,564,727,453,318,383,292,189,125,906,493,464,
110,806,133,599,793,072,720,796,486,434,296,985,422,412,050,440,812,813,157,
646,854,015,029,636,236,005,900,525,064,896,460,367,847,898,249,658,861,203,
374,822,629,518,832,155,328,061,678,846,426,842,497,244,249,624,453,444,362,
666,907,635,190,964,478,546,676,834,373,660,684,440,157,850,863,393,011,210,
452,802,150,182,834,428,552,964,558,355,919,490,931,267,037,432,324,330,304,
220,511,826,878,626,261,578,143,597,589,967,788,276,176,527,263,832,466,785,
339,498,965,934,601,550,739,190,412,987,494,057,440,884,999,199,517,014,301,
309,625,066,384,758,260,585,858,371,531,184,759,177,025,847,407,633,164,410,
358,139,049,167,477,129,613,734,179,604,177,593,785,720,137,531,408,254,791,
243,247,725,163,918,576,120,613,503,449,695,388,191,002,732,833,730,313,614,
958,803,886,132,933,790,899,382,581,988,024,578,571,948,634,457,723,651,373,
174,669,519,862,401,678,951,063,878,270,833,878,370,931,813,403,210,064,797,
639,993,640,717,233,603,182,456,214,415,080,512,104,065,612,023,622,072,980,
472,447,242,841,195,765,030,889,659,338,180,488,265,838,931,555,161,807,382,
353,684,585,880,995,078,937,782,249,502,903,137,781,035,767,504,907,346,207,
845,358,508,250,887,617,502,221,703,220,474,036,902,610,405,757,381,439,310,
093,011,216,971,767,770,177,174,495,071,116,430,425,416,454,081,211,811,286,
413,037,158,754,251,676,766,086,214,976,960,407,017,154,446,520,601,039,037,
688,920,585,046,716,723,647,218,591,471,062,607,503,462,405,089,561,068,677,
942,954,243,176,021,849,471,329,003,157,721,044,907,538,330,066,295,932,870,
625,237,669,877,034,818,486,446,313,742,106,367,312,516,730,020,341,130,132,
197,463,612,797,060,130,291,917,771,023,388,743,656,722,299,099,812,299,394,
298,728,614,795,365,618,207,649,162,326,017,454,904,609,208,068,489,435,670,
205,057,991,283,851,784,133,687,908,377,220,852,668,352,527,203,185,553,506,
600,864,181,639,925,488,700,726,547,016,712,085,197,603,211,057,399,012,062,
950,762,888,340,368,632,434,414,916,898,809,664,984,346,548,179,326,538,722,
394,498,005,660,692,483,910,962,709,212,486,466,146,050,064,442,807,984,351,
822,130,960,499,804,710,963,210,379,210,338,716,938,692,550,403,079,512,745,
425,068,497,444,088,385,208,211,681,731,685,731,897,449,002,248,390,052,084,
195,584,421,076,724,408,912,073,860,957,881,003,627,068,312,036,094,571,741,
428,268,529,490,909,379,845,082,484,114,877,981,091,799,522,981,809,068,532,
409,846,585,834,749,561,679,208,505,459,409,423,779,579,588,112,954,988,424,
555,235,269,159,864,292,975,638,925,050,647,411,162,335,003,400,209,276,777,
515,640,875,605,142,606,255,815,850,591,584,565,825,313,145,503,779,619,609,
999,164,550,449,068,971,431,056,445,881,725,058,057,422,582,570,418,642,522,
530,190,258,680,299,669,056,499,623,073,755,078,446,277,273,120,361,259,674,
840,435,845,809,643,036,026,513,167,266,828,660,184,807,588,345,442,057,555,
486,570,786,342,661,650,738,751,437,845,794,237,806,317,079,759,014,173,830,
726,132,759,364,483,855,313,153,545,279,032,423,151,383,115,440,087,372,265,
663,433,335,651,966,639,656,481,442,083,067,359,565,756,392,908,451,131,459,
836,376,486,302,534,851,255,175,714,409,348,730,697,950,353,761,335,766,234,
193,788,966,216,008,778,164,133,122,366,565,954,143,922,176,223,418,480,817,
382,924,214,169,957,044,817,765,465,728,255,622,214,468,620,482,606,948,202,
604,908,171,910,340,191,359,957,512,396,485,869,317,252,383,765,870,235,428,
255,433,580,110,626,068,871,029,351,149,633,875,106,003,147,106,121,194,595,
048,122,917,204,362,192,957,610,885,981,890,413,780,485,914,019,203,756,062,
887,520,855,047,394,848,267,816,213,113,458,078,420,542,527,684,048,743,754,
731,106,200,937,424,732,113,936,226,297,231,875,323,810,752,574,934,883,542,
008,821,602,545,034,274,319,263,977,862,879,697,613,805,234,940,140,920,627,
121,964,414,206,930,733,995,801,980,137,819,514,136,717,979,131,204,125,243,
484,433,846,722,843,842,760,804,236,112,259,584,980,263,601,677,144,310,335,
961,068,821,450,191,523,373,051,597,397,593,699,965,381,730,583,081,719,776,
845,268,480,116,048,476,019,856,967,154,768,254,532,679,007,931,282,007,147,
170,215,260,975,830,801,716,528,216,238,700,412,676,244,893,046,084,490,441,
391,886,138,829,780,569,056,256,760,166,388,816,010,967,495,632,177,941,674,
426,483,790,246,540,852,622,872,685,334,797,288,444,506,122,583,709,619,669,
782,571,975,952,151,887,453,222,090,254,718,773,301,290,461,181,654,418,797,
160,377,122,902,965,383,242,434,018,804,673,305,477,295,252,760,350,178,131,
774,375,314,625,672,358,981,286,946,967,095,765,161,116,253,837,560,187,248,
689,778,561,616,957,012,153,905,402,306,275,010,541,989,702,870,904,772,961,
711,907,524,768,067,954,678,187,707,917,414,829,639,351,061,669,452,460,628,
861,212,959,009,471,560,706,207,198,537,324,526,968,896,106,598,900,071,522,
031,498,557,241,017,442,443,518,725,534,602,122,200,660,551,228,848,294,569,
152,259,558,242,314,988,462,679,853,617,160,776,990,350,176,566,577,765,757,
991,799,731,712,428,404,384,094,748,265,680,077,873,469,844,182,605,980,773,
940,430,101,884,680,312,094,450,425,442,084,957,416,876,124,349,033,307,382,
350,555,100,658,946,781,176,795,800,997,194,068,065,551,318,201,551,735,784,
375,465,014,258,417,726,290,621,130,892,334,453,964,949,314,924,972,037,100,
017,122,782,035,716,410,203,747,407,614,537,907,247,491,620,802,355,612,493,
433,113,149,092,041,011,216,946,783,108,529,064,006,172,772,599,599,593,083,
864,128,810,283,723,291,325,485,965,725,119,969,916,200,171,943,761,044,744,
323,377,478,906,482,518,215,689,510,684,408,066,161,416,695,120,393,888,754,
684,369,468,519,518,501,946,288,811,261,946,498,692,926,120,045,599,394,767,
155,449,817,090,061,907,425,673,656,468,051,206,465,628,340,346,570,354,461,
489,059,973,008,817,258,008,488,246,026,996,299,274,820,507,964,235,213,079,
848,944,511,653,785,753,847,903,676,138,340,001,728,966,101,760,826,394,932,
727,110,434,883,288,889,047,883,503,933,571,795,003,032,837,970,122,758,387,
239,116,700,932,210,026,993,061,203,705,973,828,352,723,954,311,416,554,945,
639,554,865,439,428,176,948,117,359,123,289,065,354,481,238,539,765,940,476,
255,907,374,957,191,369,029,540,009,484,751,436,555,308,339,320,167,412,576,
826,320,767,981,563,238,042,815,971,901,916,879,576,833,197,009,008,021,973,
683,833,327,521,346,934,228,952,520,004,141,758,681,894,834,667,542,645,898,
414,713,379,349,495,127,130,883,031,292,924,186,632,076,175,477,910,092,406,
234,722,830,752,509,795,614,149,947,271,969,803,174,908,627,332,122,887,827,
062,944,537,274,133,326,398,311,862,523,239,864,892,636,944,025,085,063,844,
388,534,026,325,695,195,101,265,231,724,613,201,443,068,773,586,822,853,950,
006,627,023,514,337,768,611,132,043,222,407,960,396,928,151,507,708,731,359,
163,051,811,570,566,597,533,557,071,319,203,536,890,354,395,625,862,415,302,
982,436,414,477,464,868,863,084,220,708,915,713,647,624,332,988,513,832,385,
477,349,549,479,444,344,260,693,890,422,517,854,459,480,743,911,462,464,129,
074,179,777,885,187,406,681,697,649,784,819,607,759,275,924,031,200,793,034,
276,508,110,173,199,995,348,841,834,519,079,793,764,045,599,143,763,037,285,
943,692,629,840,940,445,107,541,576,448,964,812,951,851,393,259,452,874,448,
903,526,021,729,406,922,928,740,643,945,199,183,684,714,352,913,894,001,143,
637,724,462,910,849,245,376,132,417,893,976,803,893,688,084,137,065,529,814,
134,164,089,172,670,492,088,136,028,468,172,082,968,002,091,133,990,953,264,
639,280,472,224,016,200,978,678,335,736,286,796,817,848,118,795,951,744,997,
383,346,876,270,679,746,534,680,166,781,768,638,673,311,351,814,627,408,864,
405,656,779,888,695,212,366,517,411,529,104,357,838,910,350,541,937,346,271,
296,486,929,507,047,065,544,456,669,878,079,693,342,621,782,952,159,619,736,
615,381,984,345,896,054,564,606,778,069,812,546,971,543,317,180,671,633,541,
471,805,304,250,983,235,557,880,108,923,897,737,971,592,163,971,407,071,213,
927,197,516,125,716,173,015,787,341,906,031,693,416,149,242,196,122,109,319,
539,479,494,910,628,522,599,658,882,259,923,162,004,439,814,793,151,319,145,
596,906,282,049,831,617,495,080,588,496,042,809,727,579,265,158,860,029,677,
822,648,139,484,874,070,073,778,799,456,629,114,793,753,425,451,399,493,768,
479,583,037,379,293,477,772,789,684,174,230,433,775,189,111,474,146,040,156,
673,076,434,174,493,446,488,080,829,970,886,684,161,013,124,007,485,659,253,
556,780,616,721,732,628,545,483,729,445,501,012,738,381,688,736,327,114,496,
766,689,957,602,851,517,756,141,862,774,341,940,898,948,420,437,138,434,513,
302,748,031,678,104,690,594,963,975,400,910,051,740,511,756,859,047,917,044,
808,175,783,535,009,456,531,814,733,387,812,634,388,827,584,838,973,083,907,
248,780,536,421,438,382,499,577,709,152,710,312,595,280,255,800,628,460,694,
839,655,976,428,496,664,923,584,834,721,043,917,419,483,620,981,857,715,495,
738,927,592,839,303,488,382,400,453,315,722,408,782,270,850,900,874,165,369,
966,484,508,807,588,811,929,197,237,212,515,614,060,508,965,836,019,483,231,
945,733,865,138,263,484,000,053,522,970,107,195,804,615,824,778,120,354,283,
007,931,958,505,549,741,593,546,490,368,580,489,574,404,471,408,591,277,707,
969,176,004,287,330,106,392,355,028,795,975,342,995,064,919,844,386,048,960,
371,486,346,871,572,249,379,096,896,865,001,144,522,895,590,274,394,637,546,
343,377,159,114,521,142,707,107,835,967,986,367,465,790,420,700,156,973,868,
612,333,647,708,188,843,324,560,426,640,835,480,318,040,228,045,616,341,517,
059,215,559,047,424,485,217,806,495,832,378,041,951,158,114,625,216,220,354,
798,436,927,193,827,470,215,436,066,234,789,056,468,095,068,307,340,115,017,
206,145,545,891,696,175,576,277,025,251,254,447,655,238,535,567,193,177,953,
786,523,043,622,312,626,642,859,149,508,114,054,615,490,817,125,632,552,160,
992,473,272,118,156,443,099,667,622,777,978,616,574,363,090,118,481,831,638,
983,993,961,899,056,221,180,482,040,849,000,522,086,662,817,840,075,354,815,
975,718,649,950,624,029,106,146,789,690,596,339,366,987,541,886,213,412,889,
519,469,380,737,232,772,715,265,881,095,708,601,086,044,321,369,586,448,915,
282,448,597,825,165,232,612,622,334,721,009,085,285,464,385,085,587,021,572,
260,370,837,018,640,189,312,105,937,568,696,340,446,923,512,066,400,813,318,
796,203,090,569,229,757,717,418,333,141,690,265,190,692,713,521,038,401,515,
839,305,405,997,292,225,803,063,712,934,941,423,684,311,108,474,003,098,537,
069,341,789,161,025,430,452,196,818,489,536,061,828,941,008,326,603,974,435,
266,289,717,496,758,236,463,802,746,897,043,422,128,559,440,874,266,670,435,
614,223,643,423,252,408,225,836,124,943,979,090,463,119,213,181,075,077,921,
724,351,750,931,403,287,936,926,082,807,679,101,273,268,958,543,931,179,375,
843,914,421,680,075,049,960,387,427,537,281,813,402,712,381,611,888,181,270,
211,688,045,483,760,286,858,069,832,012,543,671,150,003,909,361,420,844,854,
624,094,036,889,225,787,664,950,042,791,226,126,184,249,199,142,574,722,644,
590,190,773,563,632,918,287,441,523,571,914,876,329,880,082,970,267,343,750,
038,781,197,984,805,319,754,783,412,055,364,008,188,034,582,470,001,928,196,
877,539,165,539,789,125,429,682,352,366,970,394,027,393,426,627,510,173,924,
262,802,116,187,789,937,926,014,095,733,191,588,206,903,847,118,850,882,364,
966,497,007,317,372,997,126,936,067,663,154,798,811,561,536,685,422,684,565,
593,821,001,700,427,883,341,905,025,427,868,876,278,734,249,557,577,140,632,
078,632,869,397,827,606,968,869,755,992,027,570,636,894,275,338,216,936,138,
834,275,667,858,445,080,684,364,649,984,501,895,574,739,333,471,997,252,161,
045,196,170,910,614,759,743,689,432,813,364,307,423,350,394,270,667,860,150,
854,694,582,752,111,484,660,979,175,346,726,758,628,628,813,660,644,293,771,
026,656,516,999,252,731,647,108,626,927,140,378,877,533,683,166,128,559,131,
178,913,841,558,466,839,457,452,894,728,397,019,015,155,222,862,676,101,867,
150,977,209,452,732,635,942,057,412,672,321,361,806,457,640,478,216,409,650,
320,170,334,982,060,777,956,916,558,891,036,718,199,975,394,257,386,106,475,
770,212,422,972,770,579,452,553,051,796,024,748,250,472,318,197,766,567,491,
223,287,277,976,725,004,133,034,944,277,742,346,552,022,877,388,700,120,706,
020,426,795,428,097,451,598,723,949,737,124,443,747,043,484,958,484,316,515,
654,008,076,367,830,197,764,520,571,810,883,231,242,882,449,645,712,664,437,
537,177,722,683,714,828,787,284,616,965,538,424,382,224,455,712,514,544,704,
973,001,811,390,030,017,102,080,385,492,996,377,708,707,571,156,773,497,615,
679,917,019,852,214,904,766,499,887,453,054,049,383,213,730,710,377,461,034,
968,035,654,999,761,393,813,353,798,995,584,956,338,126,644,385,824,342,757,
669,278,621,617,109,430,499,850,621,817,851,830,735,458,137,425,708,288,919,
034,139,512,606,292,783,518,465,299,359,887,166,873,430,052,506,450,623,053,
386,580,929,885,983,012,054,799,353,741,382,477,496,663,792,262,274,053,262,
424,679,957,223,848,549,155,431,740,311,844,078,747,054,241,580,485,575,778,
448,787,983,457,721,191,219,917,166,697,622,579,465,866,170,143,144,087,469,
628,074,936,552,372,983,228,631,990,469,771,361,908,462,759,741,336,530,105,
614,070,103,627,663,763,859,520,609,452,848,405,000,982,601,777,876,565,247,
557,598,236,758,563,855,496,023,641,630,037,626,208,010,244,849,360,226,839,
467,204,543,178,926,799,844,966,904,785,077,028,105,411,876,839,903,534,668,
069,497,747,895,102,112,379,145,660,961,503,670,340,417,862,514,027,818,412,
972,330,132,607,348,093,523,316,719,414,587,019,113,274,940,364,269,430,419,
246,485,386,833,292,332,995,626,034,290,419,682,862,760,652,550,988,420,130,
352,833,425,044,903,882,928,426,282,368,657,928,204,029,272,361,246,332,368,
713,606,544,110,398,797,205,600,532,840,612,007,429,345,287,381,422,030,399,
804,801,647,082,448,374,596,648,599,751,331,605,370,927,204,481,244,473,255,
580,011,151,004,669,616,078,188,596,642,744,670,033,338,330,301,365,863,911,
044,569,454,006,586,915,129,261,539,948,683,109,383,748,516,788,569,702,224,
889,988,301,895,232,920,326,571,483,099,642,820,216,409,105,862,826,195,235,
880,404,960,473,816,620,856,360,847,057,500,282,320,733,016,308,663,878,521,
049,417,283,717,282,473,214,183,926,043,283,162,178,605,643,252,211,918,718,
067,253,639,691,625,063,651,709,195,333,747,657,192,324,386,059,119,461,490,
411,359,421,985,826,717,757,514,910,779,509,982,127,308,587,043,627,754,460,
409,482,903,782,036,254,729,723,134,251,195,739,254,163,158,809,619,836,141,
330,141,057,473,390,360,828,012,634,868,886,525,908,688,806,822,959,304,108,
808,169,349,082,597,904,697,493,686,409,971,969,800,191,456,290,276,726,487,
629,715,360,415,107,904,066,128,183,103,754,796,349,280,485,575,040,601,290,
160,752,962,543,281,651,290,627,254,450,134,297,178,238,318,741,547,882,111,
294,073,519,232,260,203,292,267,336,692,385,810,794,956,220,404,209,314,592,
879,602,927,894,147,682,699,867,927,770,903,922,413,552,899,781,658,215,722,
869,690,932,125,424,876,547,696,708,604,217,741,193,056,231,917,598,232,725,
938,005,792,005,917,358,127,390,653,700,409,253,943,425,817,828,995,158,528,
039,311,620,453,168,280,479,125,457,419,322,944,066,485,889,950,682,909,197,
678,894,676,856,126,764,183,954,084,122,000,762,281,857,158,618,836,389,661,
852,982,102,909,700,918,321,400,303,248,887,941,567,109,534,276,549,487,699,
106,746,137,995,104,268,421,005,305,309,232,158,751,236,038,299,132,189,003,
159,196,456,272,811,794,708,990,735,398,378,382,848,413,902,166,128,810,186,
016,057,071,988,067,882,399,212,554,037,435,948,878,308,854,610,644,178,108,
049,831,157,430,975,511,270,873,455,074,010,147,731,405,826,869,376,195,558,
215,803,932,725,277,557,431,476,417,513,891,621,638,955,807,377,211,028,683,
931,103,338,545,655,276,423,905,695,822,697,015,253,137,185,143,030,677,666,
561,874,190,828,081,946,904,562,583,014,798,523,417,062,256,079,471,971,847,
103,248,483,028,671,084,115,119,266,702,286,609,040,519,491,989,884,743,774,
592,636,418,548,872,290,352,647,929,975,567,932,859,984,703,337,358,995,955,
245,283,983,573,845,691,106,446,074,897,947,396,460,478,154,361,813,857,546,
473,091,754,961,044,094,607,889,278,761,379,496,426,944,307,514,211,019,167,
635,047,365,631,469,173,882,549,862,288,229,628,697,166,982,542,529,129,899,
957,851,169,313,750,155,497,273,949,784,892,503,798,069,549,089,300,358,783,
166,408,429,483,932,401,748,756,361,613,763,692,692,510,403,092,019,326,678,
738,976,069,777,046,622,239,013,610,091,984,698,341,378,164,989,280,014,121,
870,317,605,804,930,158,791,469,229,175,504,114,561,272,859,257,217,189,847,
872,794,088,429,510,173,401,245,009,060,947,414,099,083,076,866,898,422,935,
910,448,666,627,379,329,694,726,350,073,474,964,990,338,264,720,303,547,965,
243,355,837,743,452,297,129,756,751,327,595,432,645,498,726,099,792,076,593,
832,279,646,956,766,212,913,388,423,278,181,082,221,051,925,363,138,413,008,
821,268,634,264,039,453,115,510,879,325,898,990,590,023,230,784,107,050,395,
734,287,269,547,709,143,710,715,893,022,395,204,382,745,507,494,074,335,695,
006,541,386,966,468,762,870,023,662,403,340,796,981,060,234,371,421,203,632,
517,435,487,943,652,347,798,987,729,482,981,345,649,904,776,645,615,729,475,
781,210,762,987,370,232,984,436,778,282,490,845,384,219,273,971,317,894,055,
780,324,783,197,988,847,136,271,500,175,707,599,434,583,171,047,914,069,381,
839,038,950,205,065,741,425,730,335,560,034,848,367,056,471,760,304,280,517,
953,780,774,624,285,706,942,149,331,890,448,901,114,158,571,516,910,878,460,
612,916,905,064,605,281,258,989,637,112,937,138,470,516,562,150,387,215,551,
651,113,930,678,259,596,802,703,339,687,201,475,482,169,789,177,150,106,265,
436,772,576,116,171,490,851,665,169,649,916,327,428,717,084,175,953,581,651,
462,178,412,983,804,972,066,222,014,091,309,838,138,027,026,475,666,385,029,
238,988,700,349,995,473,901,833,846,203,349,084,595,310,483,626,728,913,838,
587,601,210,408,542,644,603,012,889,081,321,933,933,661,492,545,987,598,912,
219,113,268,620,473,329,646,151,981,975,883,626,095,172,699,974,488,045,260,
172,844,642,294,930,946,740,467,678,562,593,570,479,190,234,789,121,040,928,
255,592,002,456,691,734,617,504,501,057,094,330,522,764,780,938,236,893,362,
425,506,567,185,147,426,753,161,239,492,585,100,406,840,904,903,684,973,709,
067,269,457,794,840,920,691,827,449,067,002,692,024,485,698,999,304,830,926,
268,269,905,176,886,016,467,686,337,688,209,043,354,706,734,754,052,962,594,
351,216,254,584,656,631,308,401,020,414,951,140,839,297,517,624,071,940,592,
724,242,345,593,464,777,633,354,894,315,053,583,386,431,812,055,847,635,773,
222,531,024,112,774,101,693,303,280,551,340,717,824,994,505,092,805,576,290,
309,526,398,324,255,020,544,793,269,848,409,718,926,571,882,785,541,324,308,
984,198,248,923,382,138,351,894,645,213,012,749,567,838,740,171,105,917,078,
421,061,220,840,132,621,277,840,221,685,617,439,005,432,568,785,793,654,122,
900,129,150,453,436,533,273,147,855,507,086,914,326,114,773,203,698,714,610,
972,809,783,277,946,910,617,017,335,047,366,974,104,994,927,925,372,175,274,
798,365,290,909,741,250,008,542,829,262,554,719,090,909,638,895,052,545,327,
310,919,454,370,569,223,177,080,725,503,850,322,548,222,962,836,818,334,712,
304,923,459,037,389,401,004,279,806,866,317,432,235,382,732,625,416,537,563,
259,726,903,532,804,207,878,597,605,045,137,316,994,196,742,452,949,876,354,
032,115,474,572,343,423,407,805,401,917,185,178,126,040,578,276,057,343,640,
932,607,435,586,141,799,149,370,361,595,656,176,171,390,859,017,903,466,198,
644,984,475,208,412,800,597,882,673,231,000,711,887,532,729,330,835,856,929,
284,020,932,050,416,340,911,695,706,021,377,993,896,481,752,634,665,127,984,
156,589,229,146,822,427,443,543,344,185,742,541,157,300,769,091,298,836,307,
671,711,692,337,436,765,930,130,183,385,507,490,517,746,882,559,450,194,675,
563,937,099,775,364,112,716,293,567,771,037,878,654,147,910,424,355,905,013,
202,254,308,232,559,124,003,533,914,871,497,336,085,418,421,315,758,163,566,
990,835,959,839,545,935,170,032,075,952,327,461,362,632,876,222,425,175,516,
855,689,401,261,287,262,759,708,105,164,675,374,446,569,975,071,657,431,313,
684,044,982,684,440,583,706,857,180,540,670,402,927,740,338,390,106,299,285,
490,124,837,034,332,613,890,067,092,039,028,592,462,824,159,967,107,132,318,
620,401,247,264,342,280,618,921,539,859,362,197,174,056,701,272,767,104,385,
547,550,359,154,339,753,659,981,361,537,076,970,157,934,685,814,513,703,445,
806,881,777,966,501,410,686,212,725,353,749,438,420,107,738,835,766,193,938,
494,149,599,720,805,067,886,174,901,239,163,104,054,165,406,737,080,304,051,
571,867,202,550,397,758,097,203,272,890,534,622,231,610,148,832,208,579,334,
760,113,848,631,864,668,712,361,853,098,141,303,809,162,463,248,063,352,020,
372,849,602,906,495,238,574,441,489,839,341,806,831,103,173,426,757,432,888,
091,439,991,841,115,056,184,824,291,713,971,687,301,701,429,050,489,538,861,
058,018,078,238,486,622,587,178,450,909,330,426,044,700,084,349,116,516,640,
677,883,329,903,663,686,362,545,173,695,738,013,567,416,132,316,039,994,827,
859,044,332,504,554,171,060,524,475,387,711,441,380,869,892,601,917,656,977,
787,400,068,416,105,402,724,868,585,732,759,258,488,992,954,384,732,290,446,
604,504,771,086,395,020,298,730,683,830,100,175,839,292,166,388,926,808,426,
835,107,635,953,997,497,537,952,029,620,944,659,260,983,666,222,744,659,734,
691,026,214,046,614,025,905,978,865,834,320,292,050,567,003,448,761,928,118,
107,108,486,653,435,565,251,137,259,681,774,243,348,156,797,396,942,741,699,
956,972,893,060,242,091,113,606,413,297,274,477,972,087,288,519,702,278,664,
578,377,008,995,197,088,624,449,655,190,556,704,809,742,404,875,817,089,717,
526,701,624,771,007,169,662,702,441,663,601,894,224,918,134,343,440,392,013,
670,492,210,839,487,138,200,850,407,330,592,500,573,214,016,876,839,637,480,
184,952,828,558,894,315,530,404,751,953,608,101,876,385,605,961,472,484,404,
429,920,951,737,636,780,897,306,804,652,082,536,675,046,209,601,522,289,041,
584,860,786,425,818,741,809,463,991,749,955,941,193,534,871,095,026,518,161,
211,804,876,660,090,872,687,648,433,343,122,647,185,922,410,702,877,776,343,
864,894,415,013,681,925,298,908,837,134,493,681,215,814,288,571,724,995,445,
202,912,909,773,168,017,928,229,584,019,376,026,956,897,889,496,788,866,625,
150,127,603,449,447,208,115,426,260,451,635,284,379,746,421,262,033,971,941,
149,653,760,848,308,020,113,156,160,197,997,124,773,386,283,863,952,712,727,
321,068,525,241,666,300,972,053,019,087,553,539,577,668,142,983,958,403,874,
632,484,966,771,321,685,606,969,917,293,780,469,167,133,952,759,316,455,187,
664,749,036,860,786,454,598,940,146,035,251,450,720,033,732,439,938,260,917,
195,232,128,543,390,078,337,426,871,814,114,150,720,076,360,741,697,170,720,
591,569,645,222,376,195,381,005,170,757,895,213,952,537,792,894,712,361,086,
243,943,554,473,631,801,410,698,208,940,992,455,517,750,951,498,853,040,071,
341,328,451,827,032,190,681,803,960,834,542,887,156,089,586,131,185,157,849,
539,305,589,571,250,292,987,481,500,474,235,325,031,221,951,834,277,373,115,
168,211,146,788,943,149,595,325,164,164,988,910,021,539,663,212,194,896,044,
393,824,287,430,204,639,540,922,419,708,985,998,561,608,933,263,081,968,283,
220,461,424,367,146,773,301,131,527,361,080,353,802,541,792,513,787,761,842,
801,303,496,933,441,640,689,304,945,830,140,091,143,080,808,751,591,874,313,
067,594,843,749,233,730,034,196,237,569,858,379,450,540,941,032,902,121,715,
459,421,228,256,491,167,586,350,165,480,128,022,618,275,779,741,931,131,257,
962,963,288,302,074,980,106,444,697,275,855,916,301,397,804,979,466,447,965,
135,404,267,035,866,222,715,652,431,631,004,714,166,152,364,744,274,199,611,
927,293,248,126,289,656,726,318,640,745,199,373,417,202,782,269,548,412,599,
378,206,812,814,589,343,998,956,155,572,698,674,109,258,828,529,429,804,596,
354,670,858,711,958,225,507,770,437,836,842,777,273,023,687,295,547,523,721,
160,408,268,673,225,296,817,983,554,105,893,282,956,187,571,437,980,333,142,
203,428,103,559,267,593,263,094,841,776,894,967,922,635,679,580,486,144,602,
421,125,613,003,877,388,745,009,464,476,330,335,658,304,334,952,171,801,052,
679,960,566,383,443,580,199,633,601,270,582,841,968,661,930,908,693,823,934,
382,721,207,954,493,074,869,357,198,069,529,348,866,659,542,821,348,076,570,
725,694,157,328,778,381,556,712,678,535,977,513,088,371,203,929,419,214,252,
263,878,570,657,412,365,868,474,658,147,369,370,032,343,203,003,979,814,306,
736,169,482,704,704,584,977,453,577,019,166,685,795,373,332,690,508,679,038,
966,045,311,934,059,744,752,497,590,865,614,483,987,228,030,388,050,046,188,
561,159,184,973,719,872,574,947,860,540,499,314,579,646,304,052,767,359,311,
893,984,239,517,048,282,365,974,638,895,921,650,305,228,210,590,218,293,367,
241,245,478,038,340,343,468,290,743,480,864,892,051,935,200,869,842,071,757,
318,279,178,944,998,275,377,975,356,062,840,048,314,067,375,633,788,892,537,
261,244,438,307,657,266,007,247,217,719,671,038,071,953,680,008,845,182,165,
440,720,514,279,065,303,855,918,438,556,058,836,515,070,679,109,428,295,082,
986,559,926,502,889,869,469,892,464,502,550,551,586,837,737,462,440,759,877,
328,284,478,883,225,294,806,628,710,380,096,074,293,378,224,639,996,851,315,
447,165,532,901,775,787,324,412,634,697,238,081,678,577,809,366,810,922,105,
902,702,404,466,209,318,113,955,386,956,052,190,546,603,850,390,085,166,264,
673,022,777,036,481,355,377,544,205,224,824,702,303,046,889,366,483,193,422,
943,362,830,734,386,752,891,587,764,897,017,030,035,839,090,783,794,688,729,
460,923,842,985,748,555,850,190,250,717,697,156,569,641,642,401,460,949,632,
332,164,389,874,875,179,031,559,468,465,346,857,009,518,676,367,734,874,841,
141,434,096,984,578,292,545,545,274,153,443,976,757,246,835,989,501,632,767,
311,853,152,275,767,611,096,590,517,208,087,959,023,213,998,165,498,823,978,
483,760,360,694,675,928,752,987,821,652,073,434,426,508,693,760,962,546,978,
522,040,697,743,674,450,905,644,041,454,755,133,533,653,676,186,866,438,328,
486,185,268,926,017,762,584,312,234,865,180,072,860,916,883,198,987,829,064,
369,315,998,282,650,706,217,018,012,501,375,662,714,213,575,793,736,910,547,
856,901,685,854,362,745,744,450,340,851,498,903,123,745,566,301,727,210,338,
081,167,088,242,116,044,302,360,055,120,569,205,609,497,707,978,590,694,230,
094,953,999,855,898,141,556,527,392,098,064,443,683,641,920,474,467,252,646,
922,935,995,357,892,793,431,492,034,327,121,143,915,894,444,857,593,576,436,
220,459,086,271,992,642,924,935,796,489,828,436,237,920,353,099,357,661,976,
693,053,867,854,832,092,277,687,225,484,498,541,293,732,176,847,697,384,721,
054,250,967,281,547,614,063,151,617,571,395,658,560,044,681,927,169,779,350,
124,435,830,781,536,239,955,308,670,907,115,059,116,728,201,865,927,784,501,
624,898,417,008,604,384,496,396,481,513,428,122,462,670,827,213,523,590,299,
369,355,562,742,203,124,682,569,547,304,827,999,583,564,522,072,797,914,727,
271,509,548,937,839,334,191,849,068,134,901,296,768,894,450,485,731,667,728,
996,144,019,354,669,842,046,742,697,524,872,363,837,996,590,306,378,815,259,
789,066,696,087,163,758,965,135,309,158,345,161,951,169,188,282,019,623,676,
084,890,909,896,569,815,433,662,305,050,477,841,649,618,782,103,396,821,409,
447,732,563,460,677,748,370,297,036,520,527,550,536,741,588,368,754,179,830,
949,379,213,612,154,750,359,713,756,556,411,542,123,634,799,060,330,035,572,
990,713,491,456,450,480,573,815,425,354,966,382,043,829,547,557,857,604,343,
465,179,874,671,580,247,823,796,545,075,886,874,172,589,200,565,287,925,237,
987,147,326,958,208,163,824,412,831,991,187,170,783,732,107,561,827,716,941,
346,799,808,612,194,289,725,786,133,614,638,826,731,873,319,923,015,485,304,
943,946,618,330,384,100,108,918,680,156,241,714,564,955,176,377,017,763,297,
452,676,974,954,067,940,976,392,326,462,003,975,693,466,816,369,108,648,820,
399,323,713,175,754,969,999,579,810,516,314,471,956,365,733,581,830,579,122,
343,039,574,447,494,910,891,908,000,580,396,046,261,464,277,551,023,459,311,
447,517,920,472,341,785,499,402,404,966,677,607,029,137,314,735,554,143,611,
128,183,761,890,738,370,862,117,814,978,418,573,774,065,791,767,771,127,389,
909,425,565,544,393,667,306,031,420,160,568,633,458,644,379,287,151,035,125,
038,856,404,089,346,590,931,280,837,125,485,917,140,106,574,508,825,158,499,
546,492,611,572,711,766,116,093,918,436,988,704,326,267,697,072,880,110,894,
052,701,480,383,994,036,808,773,233,253,256,396,730,982,738,597,592,981,327,
240,051,038,263,688,797,727,524,214,117,424,583,650,516,361,246,629,300,658,
724,851,541,968,942,543,485,996,357,520,198,688,535,136,072,765,095,325,815,
501,003,003,509,501,105,977,143,281,943,843,124,137,538,696,808,853,362,973,
083,512,728,971,139,558,372,954,778,398,521,412,297,561,179,744,406,780,291,
182,734,598,589,198,199,570,862,193,145,532,460,650,490,857,869,268,581,123,
746,595,500,108,214,606,645,483,270,566,017,069,146,038,439,138,500,509,597,
647,780,731,407,120,575,980,895,215,142,604,052,578,243,703,632,126,189,116,
717,262,803,721,356,612,923,141,105,343,666,577,230,911,824,542,140,941,021,
789,256,024,259,917,391,214,885,755,082,241,741,409,597,407,159,404,780,787,
277,880,689,302,040,345,359,811,189,892,826,174,657,689,659,685,004,060,094,
767,923,081,682,533,205,482,788,673,582,527,788,777,640,231,153,861,087,157,
274,851,280,367,722,784,118,995,525,071,063,646,316,782,014,912,847,047,385,
208,524,866,343,303,803,926,209,993,808,005,451,608,549,052,907,863,021,738,
369,906,658,546,090,821,252,233,545,556,092,357,756,041,757,416,763,625,920,
897,222,414,450,947,014,759,090,068,878,306,655,448,953,174,796,657,686,995,
479,068,206,407,769,666,930,675,299,886,603,962,078,924,314,120,031,828,663,
126,121,458,381,465,626,606,152,615,781,021,494,221,050,236,493,580,127,907,
237,769,511,131,301,123,313,218,993,983,575,016,146,731,075,536,104,796,939,
071,858,166,592,699,070,987,006,953,950,427,402,207,634,504,842,802,770,284,
845,611,850,183,863,874,958,367,062,496,633,657,469,533,135,737,720,914,019,
166,028,577,184,569,340,571,050,904,442,380,935,289,749,088,427,093,471,794,
648,762,106,555,931,305,227,063,789,445,696,105,170,175,345,527,246,515,363,
802,105,532,088,291,087,417,089,596,730,704,232,451,126,006,296,920,344,894,
324,785,362,980,544,082,734,500,069,860,418,378,689,998,350,370,428,803,730,
515,143,905,267,961,923,711,896,647,877,436,001,169,270,377,721,424,112,666,
396,783,716,358,602,566,950,336,656,490,437,323,491,190,372,080,523,545,577,
150,331,267,979,136,295,966,240,524,224,103,879,240,509,592,978,142,614,642,
471,027,426,203,325,706,581,121,664,331,788,273,460,364,628,869,169,990,462,
891,467,189,583,126,001,964,068,711,827,771,511,251,602,127,611,988,958,755,
620,697,773,341,262,582,925,042,975,194,210,044,128,929,628,597,696,268,270,
055,812,920,616,255,218,240,324,611,019,440,704,546,750,940,748,849,246,885,
213,451,663,713,361,709,238,366,499,896,957,525,967,851,028,929,184,706,052,
563,474,087,729,648,015,281,980,420,174,553,181,361,603,163,751,002,736,939,
963,807,206,786,689,725,429,673,933,374,006,719,408,251,983,037,906,782,745,
225,801,389,328,328,559,170,868,844,243,426,126,091,632,088,280,458,852,766,
666,127,619,601,314,334,088,585,650,264,453,587,486,718,015,770,432,027,980,
936,320,243,201,810,320,556,567,528,650,827,409,794,362,516,099,240,421,323,
233,935,130,712,317,071,422,455,159,096,560,674,989,378,336,123,159,456,179,
868,324,641,553,785,963,261,790,170,561,286,717,971,547,816,474,629,650,963,
897,434,167,297,114,208,035,324,431,469,262,010,182,853,425,959,267,601,181,
304,253,681,604,221,244,155,065,991,358,629,784,353,789,878,159,760,873,830,
806,918,800,294,095,049,586,226,688,905,184,092,149,711,530,566,202,649,092,
372,759,267,454,394,078,549,761,998,101,744,046,526,391,616,775,640,062,656,
539,998,879,373,873,260,378,933,048,963,079,772,686,091,180,807,596,442,509,
191,011,955,236,957,842,802,136,770,125,579,414,064,628,533,220,551,530,905,
075,717,491,961,163,123,202,843,251,044,030,507,503,851,047,860,840,494,862,
300,447,711,770,536,148,518,413,962,282,946,927,478,525,004,158,350,874,291,
564,478,274,419,005,013,689,627,392,670,751,758,127,250,319,733,290,482,968,
855,292,344,971,226,211,786,346,914,026,074,988,131,471,759,072,569,507,085,
260,454,461,969,954,539,938,263,542,583,665,785,660,456,664,329,098,016,614,
054,594,389,730,021,576,444,909,834,191,712,955,225,063,674,186,365,583,547,
202,263,055,779,852,597,729,830,186,916,593,865,019,497,930,732,024,876,623,
985,518,955,526,948,190,684,362,987,846,695,309,148,105,628,489,712,312,915,
833,768,887,206,824,572,630,978,403,893,231,755,569,562,681,398,386,646,352,
063,210,843,217,238,343,606,058,475,665,243,735,194,716,471,723,795,285,888,
790,717,175,034,749,479,894,666,704,672,978,771,629,547,150,630,425,989,485,
378,018,041,283,409,253,971,873,617,135,005,394,227,276,062,737,006,252,604,
777,071,513,997,828,158,173,910,696,615,079,387,785,911,757,825,210,079,549,
595,265,131,323,109,146,332,260,550,497,850,037,290,036,152,875,963,320,532,
384,083,071,293,977,013,742,379,980,991,822,510,363,264,505,869,838,773,757,
732,586,539,244,725,586,285,590,059,918,153,037,085,829,599,893,552,688,132,
877,158,218,032,345,311,700,009,122,659,031,663,466,089,399,152,393,622,186,
836,882,660,372,050,344,811,443,570,228,203,259,859,741,972,334,455,629,082,
845,932,438,392,440,541,252,404,295,561,009,439,020,159,330,985,647,674,739,
646,064,485,205,260,885,892,867,265,426,046,883,658,535,931,125,604,893,197,
150,940,850,927,568,092,231,285,620,041,278,339,854,177,303,351,345,159,881,
507,161,484,868,989,745,809,535,975,443,001,049,372,756,364,184,762,596,064,
631,014,616,348,272,832,713,183,339,356,359,917,477,293,125,649,540,938,193,
850,321,344,830,190,795,413,611,344,690,898,062,571,852,896,562,215,651,242,
812,747,640,345,563,596,613,158,345,390,584,866,488,136,711,874,211,882,195,
874,636,668,774,823,505,522,437,544,913,333,293,652,439,837,872,781,297,192,
458,513,864,851,769,664,320,773,636,724,682,755,841,653,930,187,477,421,256,
008,380,372,122,705,671,459,263,873,006,762,336,623,322,067,235,318,874,280,
793,276,271,710,465,550,422,937,590,347,252,264,044,818,008,528,767,536,376,
796,682,188,908,844,488,349,918,036,960,904,114,112,413,222,102,379,713,452,
944,791,033,319,683,724,577,478,555,463,975,199,852,098,416,613,181,740,072,
060,230,674,289,766,164,768,028,214,919,768,046,192,825,958,373,314,685,630,
611,453,301,255,965,993,723,689,375,460,373,593,659,206,110,126,052,863,677,
835,871,820,729,260,904,352,414,610,234,374,878,653,914,407,614,480,405,893,
640,748,271,024,674,888,618,157,115,403,366,749,967,420,917,251,994,096,914,
691,278,660,462,349,120,532,020,272,573,796,092,735,233,866,603,402,245,123,
742,670,740,384,458,005,036,119,073,405,075,187,417,070,257,010,850,117,290,
695,875,491,921,201,933,798,928,793,281,590,629,724,218,664,388,533,804,351,
162,893,784,263,503,933,186,398,927,493,437,818,203,616,330,851,540,871,871,
748,202,875,454,714,978,831,466,818,627,473,813,052,453,306,100,556,180,489,
777,408,471,498,362,724,317,312,739,926,099,136,794,946,238,668,787,689,274,
776,824,867,635,851,668,231,212,891,789,584,028,636,051,258,811,757,229,162,
321,106,393,181,166,608,733,910,996,976,032,498,242,379,166,907,248,872,104,
054,368,019,296,236,045,091,062,747,895,714,539,236,664,595,512,271,018,966,
668,444,307,760,809,457,564,997,141,904,076,827,469,999,752,846,918,772,286,
265,350,835,920,490,733,536,644,012,490,093,252,891,625,103,324,853,147,015,
555,407,168,320,142,691,714,663,705,877,489,848,025,633,234,511,694,163,091,
453,900,298,111,603,134,009,206,125,171,996,793,392,051,619,061,762,970,607,
117,232,545,200,497,890,692,886,360,168,183,831,886,663,017,809,563,111,530,
824,005,169,962,515,993,415,366,509,207,945,202,891,051,001,379,587,610,690,
810,882,009,849,191,776,753,152,917,532,667,390,017,496,748,395,034,196,661,
212,645,899,375,573,746,511,195,767,845,796,586,859,198,640,692,879,315,207,
521,457,928,517,443,584,642,006,282,820,710,116,976,207,176,094,947,522,395,
594,876,771,118,547,592,090,284,469,807,289,383,547,457,142,532,540,355,451,
723,597,888,651,121,477,262,657,922,124,962,499,630,028,087,689,005,171,927,
267,505,914,990,995,435,334,002,606,267,323,882,460,128,885,450,545,140,333,
812,554,521,385,918,553,996,615,604,510,913,662,267,981,365,040,456,315,834,
117,702,611,203,009,652,500,775,718,508,388,183,400,661,966,818,330,868,669,
280,918,205,876,403,737,235,769,884,478,214,072,573,740,893,352,808,985,547,
588,119,802,472,912,535,267,754,642,044,666,362,905,105,344,142,447,679,526,
208,292,523,784,048,055,451,966,580,065,785,726,681,262,432,997,464,136,362,
095,991,218,594,549,594,858,009,465,637,863,231,228,745,853,347,954,467,525,
225,325,872,668,359,889,514,229,560,031,813,407,921,754,506,920,801,197,777,
672,413,733,799,827,775,393,924,942,491,588,157,066,841,899,810,425,064,787,
238,477,758,710,300,878,897,868,019,146,433,241,633,450,610,889,867,253,209,
404,532,651,061,332,442,819,584,258,057,356,053,231,119,816,266,787,373,009,
412,794,852,654,208,376,249,302,222,507,159,168,994,712,988,863,570,962,183,
631,156,915,902,077,960,329,308,912,631,906,649,493,210,232,945,826,454,094,
551,873,847,761,700,803,350,492,343,984,500,743,774,534,156,635,740,773,332,
149,199,433,109,799,737,189,662,534,717,967,544,391,350,629,270,517,444,660,
092,359,215,295,729,696,732,025,464,680,588,895,316,695,629,286,722,867,146,
270,503,304,062,309,532,645,152,170,378,707,662,747,146,838,675,164,229,669,
085,211,999,187,339,739,896,984,696,776,913,745,061,942,789,699,146,140,180,
457,768,667,408,530,949,842,655,685,130,686,294,283,111,697,745,502,583,686,
156,441,503,447,432,802,655,338,592,799,847,520,852,599,996,565,549,377,140,
506,567,133,361,156,150,408,282,438,472,242,695,075,391,197,570,235,430,286,
972,839,286,021,993,860,855,973,672,733,368,635,155,353,096,819,313,129,468,
931,113,378,925,105,309,145,209,969,828,770,963,034,925,017,956,183,262,727,
731,375,453,694,802,015,391,305,591,263,004,452,222,934,057,239,020,781,435,
819,107,392,871,763,133,535,200,860,280,576,228,419,254,324,328,007,052,430,
833,379,268,531,088,274,012,266,488,428,631,132,608,728,206,136,215,645,576,
958,967,282,872,620,260,274,563,191,094,411,410,540,549,807,311,129,868,715,
248,696,253,118,327,452,038,522,943,008,199,348,671,557,048,920,745,602,265,
315,832,303,025,752,863,659,802,000,445,648,680,862,455,192,097,127,842,004,
959,801,677,264,697,869,657,466,437,757,831,007,188,318,526,043,979,849,718,
369,062,338,101,701,167,564,115,175,542,799,689,779,330,930,611,748,105,301,
400,149,859,547,143,008,518,235,280,860,770,012,793,775,935,509,048,793,094,
044,302,486,767,364,083,735,047,482,134,395,109,904,392,170,211,553,957,690,
167,501,968,868,461,547,932,830,066,261,699,957,021,337,456,331,723,328,942,
651,997,037,431,587,506,441,832,971,403,258,337,296,682,707,958,572,493,070,
711,459,294,949,240,947,355,149,655,770,755,542,184,440,964,566,214,217,578,
377,438,813,345,087,133,999,082,097,837,413,815,433,147,714,999,027,682,537,
268,237,716,572,695,726,131,594,492,900,136,344,378,909,568,943,231,689,313,
896,867,160,342,150,875,173,050,801,020,083,395,225,331,671,694,215,091,944,
674,210,573,283,099,643,610,733,206,692,966,817,668,441,746,477,179,608,902,
862,782,026,640,659,686,025,740,674,306,499,197,908,192,497,502,686,141,277,
481,093,648,992,842,328,143,913,547,844,119,785,023,301,944,845,636,163,054,
907,994,756,450,297,818,523,396,316,540,021,494,322,303,548,782,568,333,261,
231,654,600,643,734,327,727,645,545,520,099,236,562,657,644,463,780,562,007,
976,337,340,241,004,261,814,860,606,873,835,768,281,416,551,472,809,361,795,
310,419,646,011,812,838,719,365,433,794,353,564,033,695,684,665,510,090,919,
445,548,965,484,092,172,926,695,276,066,933,547,515,039,071,890,194,148,566,
627,586,240,096,559,130,668,052,214,172,046,815,159,284,167,131,835,179,033,
220,886,831,075,275,812,323,329,575,321,804,144,163,061,201,701,203,690,525,
107,575,357,286,533,906,693,826,816,560,887,792,351,857,487,342,467,816,616,
760,941,550,068,347,296,926,331,894,088,404,947,670,189,972,152,580,438,462,
248,043,386,434,356,358,821,075,217,441,578,153,849,721,078,712,918,235,432,
122,347,501,437,640,114,122,295,053,363,120,165,344,112,383,753,223,134,935,
238,820,575,092,342,510,078,834,685,607,824,119,351,857,658,575,953,200,870,
860,306,900,080,879,498,096,307,390,079,291,845,810,976,655,466,200,414,064,
823,226,397,918,103,579,056,234,530,329,741,482,038,142,753,460,285,300,858,
799,580,075,403,785,254,752,716,256,461,244,444,639,867,707,440,321,365,724,
992,181,900,512,158,351,151,031,356,509,000,970,517,742,251,830,774,491,763,
255,760,990,390,539,468,906,244,537,013,925,610,204,815,716,979,517,657,484,
332,731,362,686,660,080,940,356,412,699,009,322,204,138,974,493,939,640,384,
349,638,492,522,957,504,816,703,569,379,195,880,424,684,526,909,003,647,687,
654,200,543,879,834,726,233,787,594,798,119,232,936,676,752,974,614,724,489,
858,749,159,428,941,025,432,282,344,044,061,142,099,263,587,748,650,535,830,
425,592,259,922,454,084,060,579,746,370,931,571,917,277,712,240,517,720,038,
620,137,809,102,556,476,604,879,872,253,096,191,450,145,227,309,721,522,721,
388,678,829,475,809,137,231,384,379,873,943,209,777,995,690,835,979,752,425,
452,982,603,954,510,271,912,323,127,567,217,542,254,749,063,525,660,544,180,
401,833,563,102,100,267,770,928,784,354,878,935,721,404,855,734,483,582,807,
305,594,344,272,547,016,945,991,706,425,898,941,809,620,437,073,460,330,470,
697,445,204,907,526,461,832,955,605,850,577,818,570,605,033,827,882,197,729,
229,994,220,182,791,902,936,022,654,824,946,191,580,124,405,071,540,278,594,
753,961,384,504,793,086,621,324,676,567,755,718,070,586,137,820,845,436,890,
919,242,499,511,577,337,189,795,439,171,544,418,869,232,368,851,895,542,087,
641,819,341,096,688,376,306,027,638,183,864,043,892,276,056,481,490,975,107,
409,394,542,052,369,951,655,292,265,662,695,740,163,460,616,951,745,713,535,
476,263,648,195,020,308,090,400,894,697,390,450,484,150,069,041,042,901,063,
890,368,203,931,927,249,911,660,775,038,870,112,026,228,400,397,228,355,094,
788,566,569,382,279,553,559,323,652,903,251,827,454,593,745,937,303,048,128,
868,124,436,665,038,718,356,945,903,508,654,269,569,991,089,043,896,051,259,
494,671,630,298,177,238,142,405,531,225,373,634,111,721,960,502,174,380,184,
884,991,662,276,365,143,231,332,449,881,534,529,450,828,838,065,195,126,556,
451,093,905,267,801,943,231,516,054,752,389,572,258,306,843,227,365,657,678,
989,940,155,317,132,164,704,224,779,696,601,519,318,686,748,599,743,492,600,
185,227,379,106,346,437,339,040,585,525,451,676,768,766,244,170,695,373,177,
670,701,994,239,289,590,776,940,052,744,521,314,252,004,671,150,185,488,993,
774,707,390,355,892,150,004,488,373,569,395,990,775,025,876,459,304,862,194,
007,055,533,439,072,843,806,405,575,975,364,419,604,974,662,154,561,917,029,
460,617,548,698,885,655,083,987,192,175,288,653,308,780,160,626,995,316,591,
034,401,060,312,040,843,509,676,708,006,281,385,369,414,796,565,894,108,441,
069,788,051,273,608,061,187,726,293,546,423,965,115,122,247,602,009,171,209,
189,644,542,907,706,480,176,506,563,479,415,636,220,261,213,529,098,734,207,
249,855,581,183,145,578,361,774,293,204,346,420,821,576,292,965,072,160,423,
095,347,523,582,511,312,469,574,051,085,097,450,247,355,446,623,449,614,205,
546,309,368,906,097,407,885,823,255,088,493,803,970,380,087,468,854,504,760,
200,189,993,047,515,023,791,960,104,356,302,014,050,584,397,518,352,572,689,
606,080,642,347,198,049,708,060,567,818,391,387,494,104,344,389,650,713,800,
488,783,574,692,174,978,609,348,089,616,148,468,024,600,135,791,801,199,006,
013,704,586,857,068,668,208,172,188,986,397,941,116,030,338,581,552,553,631,
720,615,647,081,216,762,737,036,740,821,834,957,815,389,868,639,106,646,958,
537,958,098,127,275,651,789,250,167,026,243,895,639,939,832,181,570,121,669,
405,300,486,874,138,341,358,001,786,936,202,233,454,092,055,209,651,305,723,
156,130,895,402,717,168,230,635,525,058,774,801,466,108,888,198,566,876,494,
834,485,363,786,560,296,873,141,322,985,087,014,827,708,103,003,731,257,898,
477,003,059,060,241,491,812,014,328,447,337,199,751,817,059,872,318,703,350,
989,353,947,587,129,722,916,793,231,596,608,086,109,549,397,033,582,289,845,
781,687,907,768,767,361,833,761,099,211,746,975,653,049,705,752,130,546,194,
324,296,720,424,109,259,941,198,885,841,150,165,313,540,234,529,930,485,703,
003,717,577,607,882,773,366,020,520,029,111,025,373,255,403,147,319,579,112,
081,404,466,932,264,024,674,182,263,289,839,091,628,635,115,070,891,632,759,
101,862,470,217,441,619,690,229,613,879,174,868,648,118,462,181,356,792,538,
881,282,678,963,273,524,341,317,242,361,483,852,854,368,310,588,610,271,709,
846,025,678,910,090,615,508,811,058,571,974,620,643,287,696,158,106,546,070,
318,522,314,056,991,173,012,622,483,208,955,964,549,410,968,600,242,391,128,
329,387,858,007,945,405,293,302,775,179,869,413,062,700,410,765,661,373,159,
139,549,785,070,193,614,197,870,098,231,762,818,610,795,928,946,800,336,291,
532,686,605,120,842,384,355,075,678,807,190,740,645,557,663,485,772,513,750,
173,911,952,221,634,820,301,440,861,773,682,069,789,079,059,201,059,185,566,
251,177,267,664,815,119,961,334,484,602,024,939,652,888,881,984,583,736,131,
919,916,192,766,523,701,578,926,937,693,728,054,874,475,359,132,391,290,418,
872,031,284,613,169,850,274,254,660,473,392,149,193,249,119,659,589,325,447,
015,405,292,818,058,301,698,489,453,242,511,747,214,974,676,295,299,308,245,
040,173,585,248,933,124,053,125,810,412,832,555,557,820,955,234,256,344,276,
373,556,902,385,449,305,078,661,244,992,556,285,334,351,551,222,086,667,561,
011,390,936,418,732,738,605,083,158,488,722,833,073,151,424,293,273,301,750,
557,294,203,975,914,882,406,340,020,911,213,410,622,460,856,801,430,046,296,
564,856,723,655,644,345,969,658,098,968,113,083,952,897,539,172,169,500,440,
148,231,708,739,577,280,292,622,697,565,920,741,883,525,703,947,806,278,313,
753,444,022,564,325,850,753,871,543,189,204,320,129,540,020,604,013,594,970,
623,793,706,404,030,974,403,549,438,090,423,861,836,589,569,721,541,084,850,
580,015,972,451,766,317,163,694,457,417,808,945,768,922,638,095,587,147,834,
618,284,342,053,825,646,872,989,001,821,395,354,615,428,587,576,529,439,253,
579,973,084,867,779,106,030,669,734,593,081,717,764,270,173,851,257,253,138,
308,980,405,857,819,280,509,133,314,463,438,541,808,386,411,674,876,482,595,
020,017,820,535,690,082,432,912,744,085,772,480,519,350,009,660,269,499,890,
745,182,939,231,808,055,171,346,391,395,908,884,267,874,045,282,712,842,885,
903,510,682,479,392,882,805,287,349,934,834,980,568,791,295,867,468,005,851,
446,162,796,262,726,809,672,241,884,707,066,373,703,714,678,568,825,543,585,
788,189,777,013,978,457,133,789,751,342,613,317,723,286,577,800,454,129,726,
554,992,910,778,089,112,740,634,086,359,607,877,292,869,747,013,692,054,457,
306,659,920,085,340,688,298,368,254,613,997,903,601,492,181,822,163,877,114,
111,132,027,714,987,901,098,698,176,406,207,118,790,591,575,020,541,234,141,
415,298,643,716,304,779,418,163,492,370,606,549,346,186,688,162,543,289,262,
441,204,168,042,718,653,614,606,265,589,462,262,631,471,637,293,017,205,169,
963,328,909,228,016,735,956,681,631,629,777,154,218,405,854,645,114,431,474,
764,030,244,769,992,869,994,840,345,720,179,275,927,953,794,999,215,545,737,
562,356,676,408,905,063,333,904,271,914,397,305,526,070,241,837,386,980,218,
043,523,862,874,276,993,430,237,520,171,634,524,902,747,234,042,104,835,063,
722,074,155,206,364,979,421,114,270,824,796,350,504,607,236,106,690,243,036,
442,929,321,836,540,501,191,448,712,499,632,737,835,200,684,424,802,133,747,
639,750,856,581,693,132,401,212,745,971,533,743,618,433,203,389,703,965,838,
568,770,616,462,360,291,680,179,339,042,008,162,926,639,940,218,307,257,360,
477,927,260,261,226,927,970,264,059,224,954,694,234,612,236,482,493,184,915,
706,551,673,646,951,050,459,795,933,364,432,903,573,083,806,881,248,343,428,
880,106,221,992,654,481,840,028,010,299,029,869,045,386,017,943,609,749,740,
883,069,545,414,886,169,118,545,984,606,581,592,099,508,291,707,452,333,321,
562,722,066,289,457,678,748,354,859,873,200,437,077,390,657,373,586,189,095,
294,094,430,784,603,621,236,143,271,269,492,931,923,552,416,166,470,109,180,
569,229,244,765,273,716,290,469,882,175,753,294,907,527,533,155,869,849,376,
354,189,726,224,823,578,652,081,705,944,437,695,984,712,740,707,256,990,087,
351,962,202,013,157,059,660,606,508,835,211,933,684,678,112,040,209,429,831,
623,154,653,874,617,405,546,275,218,852,674,587,712,436,558,578,877,000,154,
392,337,668,638,266,480,840,405,921,024,185,561,660,846,430,319,654,180,977,
199,270,685,734,861,590,908,516,332,669,387,068,710,806,444,252,249,460,264,
846,026,466,236,808,908,923,018,789,428,080,481,222,822,497,193,962,817,132,
647,550,929,214,582,718,429,958,457,583,637,026,088,096,659,587,912,578,506,
610,656,948,442,119,055,811,943,170,184,996,536,509,204,480,477,464,428,009,
080,858,184,317,889,379,903,795,660,478,611,859,072,402,248,394,822,226,356,
288,105,590,689,887,329,008,345,056,058,687,327,311,832,198,544,492,190,228,
836,931,770,728,488,963,439,418,804,660,220,753,663,695,963,267,231,246,826,
632,806,378,727,526,501,889,089,535,632,006,500,606,272,043,853,635,994,490,
687,052,482,124,486,547,773,963,057,760,792,188,333,076,665,033,892,913,955,
774,478,120,111,217,908,628,345,751,069,084,145,931,203,633,087,521,113,265,
614,683,099,731,519,966,822,215,429,308,503,563,834,231,060,906,157,890,189,
553,180,907,036,904,439,369,338,076,121,040,328,923,944,471,985,566,625,072,
347,624,704,912,950,094,472,322,718,411,497,375,392,554,560,428,322,967,229,
490,825,992,229,903,913,244,515,702,545,554,385,496,485,131,847,990,342,855,
597,003,125,557,689,968,441,768,430,055,690,142,303,096,622,655,795,803,659,
737,252,212,084,395,228,683,236,455,714,104,526,564,613,767,856,148,191,718,
335,261,980,206,558,159,095,682,998,447,893,389,105,321,616,709,432,348,336,
657,469,976,623,163,795,162,780,714,190,593,493,187,140,989,219,826,979,420,
151,040,763,728,165,772,587,892,563,275,620,456,992,119,416,332,846,783,481,
982,526,887,416,393,547,066,428,049,756,786,279,832,043,453,873,287,351,599,
382,324,150,251,604,866,138,619,542,026,779,813,467,978,216,298,942,818,227,
640,179,862,010,928,567,096,862,834,770,869,326,799,655,886,582,223,712,478,
799,383,665,905,632,567,478,706,920,806,342,953,682,053,624,036,329,913,510,
865,240,513,963,045,513,460,018,597,512,235,002,848,849,834,607,357,306,270,
401,560,146,781,699,422,453,449,801,755,494,659,807,759,590,104,837,010,171,
976,740,213,370,136,007,655,254,082,701,528,265,876,908,182,554,480,050,255,
669,362,841,206,775,151,247,328,115,209,592,773,652,493,575,864,058,780,431,
109,118,009,760,463,392,055,029,972,813,516,598,515,036,218,836,153,790,897,
997,501,818,135,096,037,023,889,086,812,676,213,819,686,711,779,084,538,251,
487,384,248,299,614,839,218,498,574,547,437,863,578,301,597,508,155,824,851,
056,888,037,394,988,745,904,851,700,809,508,816,340,789,536,015,658,590,346,
479,706,892,372,810,520,051,210,897,921,531,247,871,018,023,368,189,330,328,
518,343,032,806,057,189,657,407,723,804,363,378,374,683,256,890,040,135,547,
550,780,830,305,590,749,493,104,941,760,583,679,239,447,185,054,662,557,238,
649,015,499,852,420,557,031,138,487,116,091,090,990,405,516,661,242,178,900,
245,387,414,475,335,367,116,845,909,733,487,395,100,499,103,470,872,630,167,
407,375,828,665,881,095,179,933,101,668,855,485,070,043,105,705,957,460,415,
398,171,394,733,773,500,877,433,052,134,245,348,204,751,101,632,511,106,485,
295,545,558,735,444,835,019,492,033,466,690,023,343,619,437,981,498,753,423,
592,474,186,674,698,884,668,252,041,354,848,839,967,916,708,305,935,990,524,
854,090,385,193,217,082,324,353,843,368,960,370,562,897,668,670,314,343,814,
700,418,671,921,509,406,293,850,668,957,516,000,656,131,860,704,657,252,500,
671,137,190,932,422,056,220,911,842,000,441,914,830,774,623,686,225,295,346,
241,762,970,343,421,026,798,440,179,534,716,815,260,898,228,102,799,417,789,
398,594,851,357,535,786,987,568,882,167,063,760,743,779,533,122,460,909,802,
990,686,915,163,350,977,357,988,780,730,414,133,810,584,302,280,580,813,365,
424,383,388,350,806,936,472,640,703,599,081,948,711,454,096,529,401,906,802,
154,471,301,489,889,869,505,037,610,195,841,326,602,219,599,274,594,495,222,
917,232,169,065,705,950,487,235,805,671,820,053,956,404,964,634,677,367,945,
280,079,112,283,843,310,654,353,128,063,488,242,968,732,740,611,905,772,157,
424,414,969,232,813,669,137,542,483,330,737,665,165,271,205,332,206,513,174,
367,032,166,094,626,110,263,099,204,345,866,793,583,125,971,127,450,812,832,
691,945,667,167,946,556,860,731,769,024,766,454,102,542,306,364,791,115,722,
516,935,946,065,830,305,693,821,755,774,770,738,491,846,321,908,626,792,130,
766,550,128,153,152,817,666,082,294,310,374,470,349,881,697,551,823,913,560,
865,042,348,614,632,127,508,011,117,925,666,208,905,504,319,018,242,523,229,
761,894,333,793,470,252,600,916,521,135,275,042,013,848,339,072,749,059,659,
698,553,154,277,318,262,809,864,793,978,747,297,271,416,980,713,527,457,535,
679,599,955,737,872,701,173,028,270,495,389,584,919,761,156,822,258,850,411,
145,693,665,029,385,584,086,727,327,479,801,886,982,525,669,639,264,038,451,
240,155,040,665,810,919,599,501,163,882,127,766,065,143,048,430,896,480,662,
746,366,161,860,138,262,885,429,622,917,425,917,834,860,979,258,795,914,219,
927,964,646,499,154,159,360,510,967,231,042,510,244,464,087,897,629,557,162,
565,401,097,362,020,271,421,082,028,578,562,208,782,419,926,908,044,552,473,
039,562,225,703,964,396,521,114,331,370,236,480,500,591,012,347,354,015,060,
111,125,320,904,406,569,437,211,285,559,972,457,866,269,101,595,500,367,136,
949,518,542,447,666,230,471,033,872,111,827,993,968,777,040,890,854,663,730,
864,162,499,474,097,172,745,478,498,971,370,925,819,270,866,739,836,607,956,
090,236,939,419,948,879,363,241,837,639,225,221,002,269,404,461,784,052,316,
421,597,992,839,801,772,877,153,928,694,785,093,623,229,920,087,368,508,829,
794,206,097,104,634,053,772,620,442,710,809,930,407,386,735,242,799,627,789,
635,875,792,328,330,391,096,708,367,073,556,588,002,137,518,826,554,559,189,
298,061,359,446,853,865,400,342,893,464,618,747,422,706,178,663,763,634,662,
225,657,965,556,402,467,487,617,971,886,449,704,704,841,278,996,944,376,159,
508,463,438,498,452,567,771,170,495,827,042,950,469,289,874,749,449,610,638,
260,255,600,526,318,213,703,987,538,062,373,738,737,851,199,825,419,258,048,
131,935,295,412,774,112,888,139,357,432,894,815,412,991,685,725,795,971,138,
890,275,413,999,539,547,249,453,254,204,569,770,310,724,722,076,751,094,329,
917,497,213,043,497,019,858,022,540,167,758,646,521,502,735,465,859,569,852,
847,090,271,948,049,673,572,002,292,700,128,968,844,620,572,890,626,063,703,
551,284,604,807,981,187,137,941,589,330,274,005,804,866,725,329,912,197,463,
089,523,491,995,804,797,404,635,931,935,023,947,974,182,113,324,001,874,303,
297,282,380,359,806,707,656,162,833,428,904,758,024,800,720,279,366,725,559,
112,610,983,118,002,702,390,084,470,114,374,346,124,887,962,691,464,494,644,
212,051,043,040,991,148,956,524,951,600,465,468,967,660,854,893,008,079,224,
581,906,198,021,185,849,474,317,993,876,030,080,760,556,033,297,612,936,617,
578,292,193,676,911,414,707,936,565,902,115,668,086,223,042,453,839,643,497,
246,980,544,390,550,313,374,317,495,303,733,568,210,422,780,357,709,789,484,
194,895,190,967,893,122,324,804,895,404,570,352,500,990,359,066,233,887,548,
817,089,100,309,950,780,908,535,826,690,010,156,164,306,804,032,178,338,592,
765,712,643,856,051,101,274,253,746,591,814,772,000,150,764,027,347,952,631,
972,811,116,564,306,735,853,904,657,824,766,089,735,806,290,915,911,795,397,
263,023,612,453,149,680,527,015,728,720,035,105,367,502,513,145,495,259,238,
070,916,125,378,883,177,813,021,114,874,878,157,694,037,375,036,548,935,468,
294,619,572,884,848,125,361,364,461,562,444,252,484,818,934,099,381,560,863,
330,613,532,745,314,280,161,012,108,820,863,164,262,465,702,424,174,218,848,
138,401,657,490,312,199,353,591,041,413,434,258,281,563,308,189,639,439,246,
234,044,451,839,012,652,414,830,640,411,557,082,617,226,760,268,318,881,138,
627,010,586,305,449,486,014,170,050,140,978,069,685,668,200,327,464,837,074,
494,337,893,829,799,551,774,033,419,427,688,880,901,179,331,805,784,153,016,
424,405,768,169,490,489,491,561,036,757,603,383,731,024,536,367,969,473,084,
394,817,849,214,738,196,487,833,274,750,675,346,182,395,713,878,466,990,406,
391,846,200,573,570,091,591,567,431,879,600,995,231,736,931,262,015,445,645,
921,315,262,564,755,540,297,517,903,842,664,512,205,748,033,432,949,921,023,
554,862,307,605,921,192,420,691,416,425,040,306,031,614,165,799,650,744,634,
428,576,168,450,168,213,443,324,989,534,910,983,566,466,577,886,898,220,438,
566,307,420,445,195,827,071,235,922,128,166,705,065,875,859,223,481,010,038,
156,237,747,595,687,337,257,352,112,461,214,051,811,435,035,768,791,219,151,
790,796,059,209,272,466,763,918,124,569,831,975,223,605,840,401,166,996,889,
301,516,189,190,247,283,552,983,317,936,843,777,537,334,630,311,506,891,126,
831,804,552,126,247,340,179,000,901,753,180,462,436,162,189,926,282,202,655,
392,906,645,912,132,997,554,048,381,176,999,754,835,907,066,330,129,047,220,
017,485,345,483,868,928,636,158,359,500,965,263,144,231,133,312,106,042,981,
371,882,701,595,298,208,063,645,254,281,035,512,930,360,905,031,593,332,814,
213,366,891,753,731,827,484,337,711,383,373,367,739,325,332,320,758,222,335,
279,094,619,439,215,161,368,803,167,750,379,965,192,518,084,786,048,918,799,
873,627,643,629,648,671,978,393,873,173,944,115,465,904,411,579,445,896,438,
852,159,585,286,273,058,895,678,322,818,154,522,946,802,421,997,263,886,314,
823,167,652,673,629,415,627,967,592,338,207,324,213,806,236,389,519,142,394,
622,502,483,938,249,607,632,892,792,534,089,740,352,606,179,768,388,139,139,
053,909,475,507,927,726,009,542,562,673,501,757,616,395,643,095,809,994,379,
899,048,280,040,857,449,084,419,432,413,006,130,488,176,738,435,441,459,138,
983,008,947,348,007,596,345,215,355,702,821,718,338,388,900,254,101,741,068,
377,443,413,140,956,628,743,094,955,292,517,765,703,336,831,529,738,025,468,
693,039,838,275,818,849,379,476,585,873,283,323,686,100,256,371,132,117,444,
478,572,226,760,611,011,806,632,073,436,943,585,877,467,981,199,901,449,116,
318,335,329,629,498,569,817,033,103,817,699,325,115,037,944,286,392,232,241,
175,574,090,321,756,623,374,683,346,489,896,745,326,270,203,224,285,212,556,
147,414,051,643,540,732,862,146,178,048,560,797,515,169,099,180,898,842,674,
642,579,384,956,318,835,948,975,323,541,290,933,907,080,918,411,809,541,156,
677,939,148,821,183,899,129,877,937,573,195,483,727,356,837,099,659,216,568,
385,169,145,404,646,720,923,946,035,260,871,370,987,040,296,366,719,426,588,
033,432,352,397,021,866,412,905,875,102,130,539,224,910,801,816,739,489,943,
564,802,688,469,918,952,437,141,107,976,485,857,746,504,486,091,822,120,071,
535,311,675,705,675,040,080,543,309,633,025,545,934,141,939,780,413,818,242,
152,446,622,317,169,333,792,549,766,357,001,261,937,489,997,199,320,630,945,
502,061,602,980,309,533,358,704,708,458,121,669,434,097,709,048,721,989,236,
904,311,151,271,902,095,015,875,545,942,507,483,102,076,318,062,759,264,383,
278,550,471,998,259,978,871,715,707,671,618,004,320,649,995,955,249,546,574,
491,342,096,034,084,582,135,895,152,292,850,007,325,545,185,865,095,668,723,
247,590,255,514,881,904,224,732,008,642,311,816,606,974,613,486,545,628,662,
793,461,518,593,395,067,203,899,119,307,180,797,552,358,130,019,414,744,062,
890,425,398,502,782,476,567,661,645,998,508,654,810,727,953,616,734,173,579,
740,793,190,765,554,992,622,387,050,264,667,511,321,022,570,140,094,394,903,
381,737,236,961,582,813,605,465,794,389,429,178,606,388,399,045,117,566,352,
762,558,380,392,779,850,665,603,864,393,650,410,294,789,855,256,257,608,315,
481,838,533,849,829,583,333,905,839,000,996,209,008,972,891,682,778,484,686,
734,555,554,828,070,027,527,331,356,828,574,040,653,279,419,684,985,042,131,
560,384,910,677,660,928,751,822,833,153,784,622,000,235,080,492,119,800,482,
877,460,445,734,105,701,514,731,273,170,909,373,532,106,312,808,372,009,375,
563,731,710,372,185,877,546,525,748,198,577,430,218,179,399,915,438,039,319,
091,286,246,293,534,328,563,873,747,114,521,355,505,656,844,787,964,499,648,
005,701,110,938,557,235,819,698,823,475,098,687,036,335,487,967,407,061,740,
525,623,182,666,255,027,398,492,084,515,142,008,404,079,848,429,048,952,767,
863,752,211,820,632,252,674,826,425,754,948,044,934,211,224,302,872,773,367,
402,245,521,916,917,449,933,765,476,532,104,392,563,958,177,199,232,929,405,
391,258,627,259,076,695,594,949,499,618,077,414,070,226,525,068,818,496,088,
186,364,085,144,049,465,868,122,484,315,213,522,391,062,849,388,275,830,969,
830,436,847,135,242,962,022,267,983,959,524,609,318,114,464,017,016,814,619,
664,811,181,829,876,909,775,986,016,949,838,721,342,271,332,938,876,362,757,
201,682,105,487,886,361,419,381,297,075,538,672,829,887,499,110,918,169,895,
707,676,216,347,418,562,861,987,969,531,184,128,356,972,952,043,567,688,832,
455,651,888,676,211,151,761,891,844,320,605,009,435,789,174,017,846,656,844,
573,756,541,928,706,843,507,461,902,717,820,350,173,760,084,937,570,850,524,
805,866,137,516,502,864,986,148,805,200,277,540,256,845,011,952,951,881,909,
603,440,468,611,457,556,397,770,917,577,404,356,767,760,928,422,112,348,150,
385,198,878,352,693,452,028,176,819,534,848,878,803,303,016,627,521,185,177,
065,932,631,133,773,407,522,935,386,734,709,446,984,848,215,728,168,948,062,
211,629,527,977,148,515,398,417,876,345,284,902,862,053,691,004,797,032,397,
760,471,151,330,373,944,805,071,700,240,082,118,158,673,691,393,721,786,365,
331,264,449,260,579,991,398,423,230,967,537,225,090,165,088,037,122,642,725,
758,046,794,523,583,882,950,242,267,660,204,907,134,940,368,504,958,123,594,
790,474,236,956,662,666,421,072,351,910,685,079,182,469,593,417,184,972,316,
491,877,041,763,489,766,737,892,717,523,120,321,292,407,844,083,484,992,317,
920,198,313,364,828,137,337,254,512,283,581,341,529,154,177,584,145,914,191,
922,619,761,044,007,426,999,397,322,084,074,393,374,014,622,170,624,773,910,
605,395,505,833,216,091,657,616,004,063,502,075,741,148,119,243,686,598,565,
660,262,929,130,334,025,955,547,781,195,258,604,247,578,289,431,270,294,072,
960,119,548,552,517,767,663,611,536,704,848,156,745,399,492,735,433,990,590,
050,672,411,981,140,034,749,957,755,225,737,362,619,062,182,178,312,937,335,
282,258,609,421,136,590,260,414,778,610,533,778,321,516,372,070,894,249,256,
351,444,939,739,493,216,617,217,206,858,091,437,979,455,804,489,204,596,824,
488,164,971,511,250,954,574,261,795,575,619,078,280,238,349,480,982,402,018,
980,723,168,974,110,204,935,587,334,789,672,095,065,947,779,814,447,258,751,
362,370,277,627,891,090,578,020,036,035,683,352,636,280,858,885,723,038,793,
916,155,199,338,888,687,218,122,386,668,632,319,574,364,699,304,682,996,514,
822,546,050,127,023,349,074,870,953,312,822,822,354,389,754,706,324,008,706,
621,707,842,315,333,084,924,479,347,780,765,298,457,318,239,157,562,400,314,
425,570,742,710,424,420,658,718,251,371,632,139,290,172,902,617,836,078,668,
823,790,560,004,701,347,507,074,787,475,136,652,859,915,701,326,868,530,794,
223,287,580,531,794,411,873,407,801,712,474,613,189,974,058,539,219,724,758,
502,588,322,894,853,027,149,216,726,752,482,367,168,399,111,992,607,520,341,
266,534,489,899,834,411,176,273,209,002,152,199,283,607,676,168,470,987,441,
228,284,065,534,647,839,699,525,517,343,481,203,863,099,320,106,716,424,505,
940,931,001,499,784,293,087,797,330,553,234,248,848,858,443,562,820,469,323,
776,503,591,046,642,306,500,001,159,836,206,924,336,633,211,469,099,726,976,
291,471,384,002,209,138,735,369,875,473,738,192,052,641,393,489,966,364,310,
515,501,156,097,185,214,133,376,924,891,829,809,735,018,295,709,201,841,495,
151,195,506,532,508,178,653,150,904,499,686,089,880,402,281,446,992,270,089,
698,514,196,577,500,075,966,081,557,095,180,272,890,084,201,955,848,499,705,
284,145,375,615,502,951,324,036,523,930,777,795,636,476,495,829,600,537,588,
912,014,590,771,188,030,100,163,301,083,603,206,404,681,810,500,087,190,116,
866,761,723,892,377,408,981,930,822,622,390,522,577,078,504,596,007,831,623,
923,223,570,608,576,918,371,584,565,885,225,780,429,883,630,754,664,391,687,
560,174,879,259,297,786,671,771,321,058,864,564,447,037,637,022,058,067,353,
987,282,264,406,551,116,521,799,292,223,128,673,222,666,336,707,325,658,055,
252,195,227,274,086,787,659,745,071,788,100,610,887,112,715,488,972,722,236,
658,521,437,033,222,615,991,386,090,803,235,880,702,786,251,982,014,018,661,
372,508,202,474,030,447,310,458,357,265,292,494,557,895,420,308,991,303,844,
869,123,043,864,976,904,395,289,067,998,761,346,098,953,485,760,781,380,333,
463,331,435,466,232,787,527,216,691,348,656,183,007,690,869,980,049,389,114,
067,901,629,596,364,559,137,319,814,169,222,792,380,834,741,644,270,274,742,
802,490,243,931,317,932,284,353,875,904,466,036,171,631,075,392,386,816,380,
912,192,519,573,198,063,575,505,994,449,759,189,185,557,229,227,528,429,843,
390,019,240,609,120,114,199,317,094,776,042,203,876,855,270,677,747,153,163,
821,336,336,124,626,449,819,064,147,545,964,475,136,340,665,397,836,437,315,
452,345,519,411,196,249,173,555,424,394,819,926,250,401,832,215,852,526,798,
442,571,566,274,952,252,774,430,827,081,232,471,404,785,920,301,753,873,552,
230,913,536,777,876,819,749,127,632,243,336,426,123,467,337,412,074,623,156,
902,593,457,333,576,979,121,376,610,264,205,403,459,847,318,813,877,017,928,
060,057,025,502,927,611,298,496,083,132,492,424,886,254,945,647,985,924,239,
984,767,268,665,976,582,725,816,600,020,406,638,584,966,267,208,686,897,476,
635,123,733,886,866,763,787,273,684,704,483,717,043,716,613,603,652,264,610,
696,665,011,387,292,737,942,345,784,736,844,837,807,830,581,678,864,235,740,
816,230,058,567,495,032,552,883,160,406,918,232,596,065,780,256,262,347,230,
101,639,625,066,772,364,342,701,213,058,093,535,385,149,847,515,574,287,634,
387,267,441,138,874,349,393,941,243,939,065,751,026,290,613,196,662,473,369,
973,069,959,758,061,343,365,495,613,304,761,057,812,344,893,317,199,836,863,
412,698,246,741,911,068,266,266,615,560,342,752,744,923,201,943,150,131,229,
767,161,256,685,416,055,261,495,715,238,369,829,058,210,958,037,923,038,310,
668,005,670,006,237,867,029,496,278,658,730,942,506,526,668,703,879,942,610,
810,644,322,774,670,076,249,231,278,892,608,747,823,807,339,381,964,059,260,
441,019,647,551,077,490,278,319,914,757,258,195,987,361,928,805,851,690,767,
094,429,343,276,606,248,311,252,440,730,026,406,997,874,802,972,785,394,198,
948,424,568,708,051,554,187,510,243,278,973,671,674,188,359,230,113,055,679,
562,579,505,665,203,404,062,488,256,120,843,654,161,327,213,852,318,761,302,
785,612,306,379,017,762,679,093,235,145,762,218,494,247,212,624,496,174,122,
120,132,551,228,539,175,138,850,219,484,546,860,523,339,521,491,373,991,960,
605,660,610,884,009,795,481,266,601,483,244,208,855,028,383,255,838,770,328,
376,390,180,944,346,546,777,838,149,432,429,816,549,356,634,600,602,768,873,
932,542,657,297,308,830,840,116,159,108,615,564,113,205,643,224,958,956,745,
525,222,658,796,660,614,169,953,289,193,359,857,088,673,938,732,629,300,106,
580,521,384,670,876,630,030,635,354,851,038,439,679,820,292,179,600,284,861,
164,207,437,406,811,494,724,877,186,253,156,137,360,056,493,237,258,104,675,
881,060,266,353,724,866,241,975,249,438,419,150,480,576,391,272,019,521,965,
894,101,968,395,914,192,896,438,248,579,917,729,281,857,150,344,142,815,178,
416,246,807,664,881,191,653,626,649,282,143,751,142,077,169,961,071,076,802,
010,724,248,282,337,619,705,184,987,253,453,453,400,262,282,670,960,873,016,
910,438,772,774,336,380,271,172,117,625,238,459,921,990,985,937,791,417,253,
703,406,281,536,401,115,035,874,604,239,707,046,923,708,891,861,007,293,927,
515,970,713,622,479,732,775,341,091,648,389,883,153,841,687,449,153,344,678,
347,395,110,935,689,798,820,391,170,891,445,815,595,255,091,078,480,144,947,
086,380,332,407,000,880,145,800,990,090,624,727,401,340,789,920,753,917,447,
021,012,690,598,941,349,478,474,066,564,641,097,496,580,327,052,527,765,258,
841,378,545,163,626,016,997,102,182,976,074,520,726,800,922,951,036,839,230,
206,203,194,122,544,899,010,109,233,549,507,574,552,508,252,357,553,145,564,
503,396,101,279,343,129,202,436,625,856,891,164,869,339,038,480,896,234,378,
407,326,557,504,996,425,742,797,280,501,457,439,629,985,623,406,854,700,405,
661,107,902,107,179,651,178,788,440,082,785,009,683,150,246,745,481,881,456,
666,301,341,230,068,362,944,955,951,123,246,116,628,116,508,891,267,103,819,
965,515,027,569,474,673,330,294,207,760,359,366,298,329,886,090,973,457,375,
132,749,937,975,173,241,732,033,858,599,036,887,163,794,191,487,634,188,679,
610,180,648,287,939,218,546,918,662,378,587,335,644,619,304,819,348,054,728,
380,599,896,308,795,940,222,470,769,172,106,456,624,639,122,185,331,623,739,
708,216,876,137,143,815,481,154,630,717,981,389,733,788,883,330,839,068,806,
119,346,439,272,766,660,431,188,546,761,685,681,848,131,786,283,532,657,149,
892,449,991,337,567,797,234,405,184,271,692,457,147,350,876,356,158,102,978,
781,917,015,334,666,190,157,668,512,537,253,115,501,409,729,423,332,241,396,
838,761,952,417,800,147,393,770,515,214,484,544,827,860,170,753,497,782,673,
917,095,584,463,274,790,035,355,884,420,011,728,406,153,916,665,436,664,260,
354,060,206,339,647,704,903,600,492,767,195,904,382,406,609,672,618,103,218,
407,494,656,025,414,786,319,614,306,660,812,511,179,172,932,858,438,670,223,
059,579,099,665,748,448,542,574,109,635,519,210,887,999,808,555,327,341,964,
606,835,415,047,590,738,199,401,888,313,576,842,837,068,946,302,261,977,780,
179,644,688,691,289,541,103,285,163,716,589,962,410,672,043,446,075,683,269,
081,776,951,490,240,467,789,179,604,159,934,289,584,948,577,118,642,477,951,
449,473,003,238,426,430,644,624,569,765,254,781,877,916,060,203,570,447,078,
493,230,887,102,819,010,230,930,678,889,082,239,074,943,643,471,602,949,202,
060,515,881,057,833,057,753,855,633,710,613,324,743,377,359,974,081,159,800,
672,266,796,414,496,469,599,283,924,147,928,196,028,075,978,163,796,240,531,
390,540,795,509,641,180,771,012,842,319,893,029,935,629,358,535,284,911,946,
914,003,660,299,180,805,122,295,320,618,845,354,911,734,358,219,657,881,534,
868,182,449,851,881,127,042,399,136,223,476,491,182,674,041,938,764,852,998,
263,424,505,400,559,616,307,599,743,837,791,963,141,389,680,376,716,264,310,
640,749,970,798,008,593,448,842,816,498,975,469,660,158,527,935,224,549,978,
779,467,086,560,419,759,094,773,150,035,815,227,276,740,861,933,240,081,630,
502,076,828,996,304,262,565,803,471,918,135,764,391,472,456,275,602,988,723,
413,143,811,861,200,359,871,287,290,736,879,146,280,982,906,991,562,469,293,
270,535,276,276,750,072,142,836,785,837,536,715,071,350,068,756,222,020,335,
235,997,054,689,751,961,402,611,399,149,684,350,141,992,193,538,374,538,489,
917,343,597,450,923,479,238,175,174,239,275,511,286,516,473,575,290,040,373,
536,126,136,930,240,344,758,945,208,067,360,089,683,270,088,255,755,235,100,
013,364,544,717,322,522,812,999,801,960,649,166,854,291,171,458,063,256,903,
587,055,802,645,058,580,247,913,465,434,834,686,773,621,576,279,940,525,868,
237,606,937,000,630,756,515,383,157,054,740,924,280,623,136,362,373,958,226,
970,844,973,610,383,962,328,745,906,159,520,764,031,797,043,735,508,385,594,
414,676,455,949,788,037,144,719,666,879,825,882,878,747,159,715,065,428,946,
304,456,269,815,516,089,769,378,217,950,916,950,605,915,585,308,484,890,376,
594,896,114,081,663,040,850,521,420,005,211,003,034,742,871,844,419,153,788,
090,520,712,339,716,736,429,013,353,706,755,801,641,008,252,430,974,703,303,
748,741,174,424,880,968,023,243,018,443,242,004,678,184,314,956,399,777,376,
998,965,188,350,699,113,486,106,674,864,801,195,823,921,861,008,040,094,270,
666,602,108,861,603,828,715,241,516,072,058,668,412,805,726,792,781,866,157,
285,411,917,145,643,926,858,357,673,118,565,792,431,258,560,371,959,526,813,
581,116,486,192,658,194,915,420,382,037,954,683,549,450,261,231,063,478,080,
026,591,952,130,817,855,902,976,129,900,728,223,848,300,827,616,670,974,046,
998,764,343,198,086,911,376,191,213,345,061,371,651,487,565,693,656,856,803,
731,514,695,491,218,450,826,123,403,003,146,879,898,016,426,833,011,004,577,
282,642,311,808,763,343,146,541,796,116,181,246,899,081,170,457,306,416,856,
630,000,294,962,021,374,377,718,003,556,969,758,662,427,109,693,453,544,515,
304,225,460,724,302,328,857,621,768,907,876,253,621,712,310,011,664,965,365,
268,220,168,952,945,454,821,825,777,454,868,472,144,976,178,181,355,854,036,
412,291,045,619,733,157,322,162,813,153,614,954,610,177,230,605,045,067,828,
625,442,809,235,271,401,896,179,158,535,629,431,624,131,872,555,212,488,013,
094,204,529,259,006,491,173,687,266,229,050,213,788,149,313,050,120,712,382,
378,726,377,663,194,092,821,840,662,207,243,802,586,706,628,504,979,999,216,
681,078,622,186,431,966,894,822,063,626,346,435,787,667,951,151,664,521,860,
910,065,836,319,606,137,303,743,965,921,122,980,462,026,919,999,732,238,745,
905,259,080,321,596,684,060,710,481,269,631,490,577,766,299,346,654,096,521,
142,776,617,199,824,878,794,097,329,753,311,726,104,783,903,945,431,074,658,
715,821,393,163,594,162,547,041,718,080,633,979,377,031,551,148,288,219,698,
726,547,746,929,170,126,581,827,547,125,750,479,371,950,039,571,904,663,106,
032,309,938,552,283,608,582,232,383,371,293,730,532,907,095,663,054,983,318,
243,807,223,939,841,628,343,708,101,584,360,771,324,941,303,276,344,175,174,
102,261,945,791,268,973,055,952,757,294,619,686,508,649,864,529,505,372,818,
884,788,631,238,160,010,231,344,027,494,036,196,504,564,054,269,322,078,367,
307,909,460,916,173,948,548,537,409,187,977,775,996,012,869,713,728,523,900,
803,902,210,784,876,455,223,001,669,248,905,407,189,212,919,146,837,162,911,
860,515,170,111,868,068,476,544,232,507,591,322,774,856,197,215,962,795,803,
986,682,331,002,396,213,358,649,476,959,593,500,356,515,180,809,092,783,101,
438,237,271,815,144,054,937,261,397,332,590,062,026,730,552,534,226,744,679,
384,022,223,457,357,941,809,351,424,861,001,658,961,640,473,491,066,039,195,
002,636,767,909,840,973,913,953,103,703,742,961,412,623,664,570,181,373,821,
571,908,521,516,493,583,554,823,364,997,021,725,804,247,874,111,775,854,275,
103,036,489,764,202,612,224,876,455,781,072,174,903,671,548,589,762,470,726,
728,386,717,449,668,922,115,172,053,302,370,890,125,717,844,237,675,120,420,
797,492,907,083,692,081,596,197,690,822,512,422,286,771,530,984,251,467,270,
408,809,190,249,761,005,250,060,985,823,084,161,212,696,936,556,943,599,803,
662,997,560,525,146,033,504,517,532,795,044,937,168,816,633,560,559,897,575,
176,565,007,383,880,662,428,014,080,234,288,931,463,471,433,856,468,912,533,
157,061,775,988,062,804,206,472,029,291,319,777,375,355,765,425,490,669,394,
353,789,068,743,208,580,063,268,956,208,666,710,189,132,759,000,392,898,241,
772,414,566,542,441,840,235,650,845,236,276,081,449,895,530,610,959,580,494,
082,118,689,096,724,595,006,442,962,956,598,287,606,507,710,152,309,660,087,
681,922,861,289,046,819,864,523,696,750,725,211,790,572,865,088,850,608,886,
972,792,145,079,593,705,076,536,152,232,255,947,699,712,604,578,578,327,507,
245,866,048,110,177,037,033,077,833,699,579,744,652,576,614,195,671,330,920,
585,578,834,319,082,406,567,870,353,176,818,523,409,700,599,073,940,966,679,
358,059,102,531,265,934,799,597,785,020,192,108,670,464,005,794,461,307,332,
592,931,883,352,183,060,728,655,504,881,321,645,171,838,889,711,510,916,521,
481,619,811,918,110,780,116,102,138,060,302,834,237,995,919,084,324,911,093,
036,966,205,829,787,794,917,697,792,138,460,061,190,314,391,902,745,016,474,
780,757,119,052,063,374,657,901,136,009,988,825,389,163,371,372,547,220,802,
398,494,079,456,895,762,950,927,354,917,026,594,858,525,086,047,525,632,569,
421,100,667,963,825,203,560,399,165,813,070,504,818,799,473,421,089,506,803,
667,100,930,074,663,902,168,154,624,031,048,176,961,424,312,033,804,582,758,
960,972,031,294,828,312,637,946,888,241,706,548,295,211,962,620,793,883,495,
441,275,001,148,331,645,967,792,387,784,512,436,893,105,430,367,345,475,804,
763,937,480,589,742,393,718,969,737,803,723,495,376,944,865,174,919,095,344,
334,994,446,495,069,975,384,555,432,061,561,938,461,763,766,253,176,493,728,
580,908,820,733,627,365,905,474,305,513,451,489,277,196,872,124,960,315,736,
757,435,269,284,096,970,219,964,510,343,868,301,244,581,470,545,582,595,526,
376,042,524,589,585,896,680,447,661,496,912,494,075,598,888,948,110,454,512,
126,433,497,997,234,814,487,166,244,728,564,739,647,567,375,311,598,848,154,
017,457,464,142,157,505,748,537,486,625,133,336,459,146,338,863,727,109,984,
593,007,204,496,733,647,113,370,442,511,793,446,009,063,319,558,683,013,083,
964,952,934,717,499,904,521,862,675,051,050,897,111,167,776,143,977,136,644,
709,480,881,354,757,068,712,995,518,917,008,716,795,750,468,521,134,021,973,
139,171,699,310,897,575,671,125,002,956,800,241,137,907,026,603,536,093,003,
709,498,074,268,329,065,776,764,951,152,213,537,780,881,387,322,433,418,029,
046,585,231,565,329,892,469,456,891,167,265,495,442,378,262,645,016,695,111,
172,711,691,164,099,182,773,150,848,219,421,345,320,375,321,062,287,481,208,
533,558,882,397,179,856,733,678,651,875,044,894,247,915,194,412,736,098,505,
686,686,553,446,956,289,632,020,636,972,309,268,696,437,248,952,096,036,028,
010,612,186,952,696,087,805,543,608,994,831,093,196,011,548,116,111,661,640,
610,400,439,415,800,469,529,530,082,111,117,604,724,297,287,104,477,684,492,
096,622,019,608,003,447,944,837,028,710,045,013,519,449,472,078,099,857,565,
606,008,307,459,881,642,380,120,536,074,592,768,143,524,386,884,343,711,858,
411,779,531,825,856,666,415,820,045,044,071,849,345,546,387,241,018,913,638,
454,146,291,161,422,638,423,899,648,755,315,997,443,258,913,168,898,682,445,
132,706,105,105,884,009,031,122,774,141,792,680,487,136,710,726,775,037,577,
346,956,214,012,817,274,152,724,609,818,287,276,158,425,001,891,479,041,449,
697,524,413,929,387,079,117,322,461,882,336,277,221,185,515,865,796,115,683,
476,679,639,227,340,431,614,072,879,505,188,535,126,456,967,677,767,033,606,
785,790,264,438,850,687,685,263,431,105,454,680,739,289,543,312,140,715,030,
280,090,345,361,054,607,066,680,748,018,900,039,296,320,152,995,956,787,432,
467,409,837,713,287,645,516,252,521,369,926,165,356,696,656,375,861,474,336,
852,095,703,532,830,556,056,363,019,371,734,751,691,601,317,888,124,681,648,
660,917,321,872,668,307,894,127,984,416,908,457,531,541,942,425,285,810,484,
104,566,887,639,502,437,018,993,143,868,495,321,748,748,957,774,758,161,430,
914,795,510,079,591,628,154,338,203,751,792,603,683,645,448,591,600,225,906,
652,985,342,268,173,216,366,135,882,513,219,131,445,210,610,342,877,622,464,
308,799,384,203,408,084,836,830,826,445,682,168,507,713,848,151,268,198,096,
870,873,256,097,017,197,969,796,341,154,326,750,040,690,007,182,568,842,134,
298,870,950,804,629,219,121,880,549,090,955,070,409,117,972,369,561,079,741,
587,112,095,185,579,582,514,254,249,319,636,918,422,935,491,882,002,806,304,
719,000,328,498,159,785,075,586,020,140,812,288,669,634,597,476,717,485,482,
247,689,836,257,331,137,796,642,766,332,616,928,224,711,114,062,565,862,289,
233,043,165,298,817,982,677,724,245,743,000,189,920,799,443,109,997,430,486,
242,153,815,340,619,147,135,697,236,175,595,638,471,339,194,524,121,159,617,
760,575,225,366,452,447,158,163,530,603,236,600,038,597,342,092,732,144,858,
543,130,378,947,895,636,486,655,622,318,799,694,435,516,418,534,146,057,447,
386,789,673,094,655,724,843,830,025,248,605,696,701,078,282,527,657,374,118,
915,938,084,057,009,604,310,469,375,370,388,233,710,689,675,937,434,607,893,
028,692,986,005,110,743,468,126,897,284,151,873,397,897,562,920,681,386,988,
786,522,138,164,267,180,978,588,640,353,486,677,646,207,455,300,093,240,183,
667,834,377,213,755,281,481,704,226,521,611,758,828,343,343,734,673,150,340,
370,025,836,252,631,705,251,615,316,322,232,834,910,267,040,497,616,117,801,
531,572,321,875,070,603,515,535,424,745,324,492,320,371,494,749,811,445,727,
651,488,268,284,759,906,858,103,307,677,884,981,589,115,424,072,373,739,767,
214,092,432,192,603,643,634,815,063,639,418,895,608,658,848,726,937,892,748,
975,268,215,677,894,957,809,801,579,158,310,322,817,230,455,426,027,192,442,
750,014,865,805,166,071,368,572,021,310,395,398,011,108,048,907,540,924,533,
092,307,539,553,379,132,807,055,712,552,930,558,920,291,080,176,454,162,296,
879,454,286,286,104,201,775,845,857,153,325,546,917,690,212,684,184,631,043,
186,163,392,721,309,740,146,706,976,008,660,085,564,668,152,804,405,947,672,
465,366,879,668,017,341,570,466,513,268,324,701,191,493,568,799,992,902,696,
573,304,892,415,973,758,846,034,958,398,938,195,624,325,520,933,188,106,336,
975,545,635,410,848,699,090,704,926,506,045,991,550,877,399,460,945,730,004,
730,312,657,163,588,363,042,842,313,115,692,135,215,843,882,687,547,857,540,
123,214,003,143,787,153,108,679,572,713,162,399,399,543,144,504,591,825,697,
431,471,958,098,859,675,036,406,847,301,279,575,072,081,266,005,862,854,688,
335,420,992,064,607,717,412,700,514,559,758,713,406,817,846,184,591,852,200,
608,304,834,465,971,160,214,587,915,126,325,628,873,585,461,837,092,925,093,
390,960,377,313,872,495,158,281,037,730,828,274,524,226,758,749,204,246,731,
592,845,012,799,612,308,505,882,599,476,856,664,527,649,063,231,178,580,031,
132,265,469,915,269,575,012,741,253,857,421,471,084,536,561,783,439,942,008,
666,814,955,035,142,547,148,323,129,645,581,206,237,465,198,101,008,966,302,
944,602,065,784,958,756,397,081,142,218,385,453,196,025,546,597,831,452,150,
003,710,737,735,821,350,867,888,298,021,008,275,943,545,261,109,930,545,158,
221,738,295,300,461,086,413,673,497,372,604,349,543,079,383,885,289,415,112,
534,545,585,647,207,433,508,984,650,055,918,355,756,097,426,165,079,382,331,
331,528,308,245,231,692,294,581,399,758,900,937,834,039,420,250,231,991,470,
420,011,232,635,495,390,378,893,250,052,808,418,975,289,847,345,913,484,781,
748,095,216,724,043,730,961,336,890,740,107,418,791,431,565,864,076,535,507,
700,841,915,466,486,630,553,066,902,036,479,641,175,948,103,603,690,343,958,
479,525,016,617,406,349,604,199,321,656,404,883,555,695,248,640,874,709,829,
320,840,363,393,361,736,785,908,967,041,594,093,238,023,740,676,552,832,541,
586,360,369,062,202,186,013,155,640,728,979,421,599,107,046,264,492,724,905,
765,409,072,354,635,580,253,742,817,428,133,241,942,183,597,078,185,764,051,
636,287,909,761,952,343,264,657,105,529,497,120,036,782,882,193,662,091,462,
653,584,273,316,469,839,795,372,404,476,263,196,230,023,472,615,692,051,966,
236,730,181,978,549,433,585,015,820,823,570,568,352,130,906,657,356,597,692,
609,719,560,439,371,061,793,246,846,853,225,989,388,566,529,033,298,555,269,
899,666,232,763,915,432,796,109,474,432,224,787,186,202,785,073,150,578,045,
751,884,929,121,301,388,946,233,857,273,848,148,627,078,368,367,077,668,950,
556,702,124,588,019,313,835,370,907,398,864,508,975,148,845,222,466,909,886,
227,388,277,252,364,247,422,017,232,225,582,589,315,563,733,355,139,307,170,
887,069,730,002,160,905,238,589,527,444,840,879,322,685,481,681,924,459,336,
857,479,022,642,411,073,914,708,188,661,979,184,967,635,607,058,508,646,127,
071,087,316,865,200,845,808,870,001,698,311,232,546,884,218,842,262,550,337,
456,462,350,904,713,682,388,114,206,037,400,258,344,310,623,385,614,966,506,
821,874,474,948,297,579,696,211,438,880,725,474,160,152,731,094,567,581,720,
936,104,998,346,776,587,461,260,138,772,501,602,686,194,441,537,820,790,937,
527,418,323,421,160,406,760,945,153,586,764,778,538,534,084,456,186,013,850,
626,463,926,201,020,603,519,172,714,642,000,722,642,628,963,153,898,593,635,
202,471,638,063,275,786,716,506,944,674,134,525,744,883,151,283,468,206,012,
640,152,480,018,208,267,119,278,262,761,996,128,731,356,054,428,598,433,433,
247,285,170,564,369,992,907,325,834,503,907,084,844,281,304,181,300,906,103,
007,439,238,464,906,645,724,346,204,380,328,815,885,846,674,631,717,610,760,
748,635,735,849,854,801,664,325,713,073,096,882,500,560,499,611,410,742,111,
435,075,719,342,413,884,946,068,546,605,020,381,731,152,379,760,856,524,804,
497,241,729,446,531,299,276,686,469,139,118,306,355,541,698,657,689,211,517,
761,202,825,597,612,838,694,558,904,469,638,621,757,419,376,951,074,240,077,
264,978,166,265,749,726,274,626,115,118,849,317,639,068,867,938,260,286,657,
705,179,655,223,102,947,463,262,643,000,389,787,000,204,237,192,014,724,574,
885,060,184,271,711,191,575,154,947,846,434,482,398,557,318,590,007,153,312,
354,571,401,000,548,881,138,911,634,291,946,573,954,620,807,209,559,681,644,
021,223,609,475,303,964,406,878,280,353,789,429,252,511,180,244,347,860,389,
037,555,480,396,158,811,288,695,994,196,833,558,369,111,075,804,970,520,952,
245,665,663,115,763,077,380,113,261,959,728,372,693,819,637,113,424,443,501,
390,698,147,231,077,593,039,301,560,540,662,766,844,626,943,826,215,575,220,
385,026,082,112,634,567,667,250,444,925,637,050,319,289,404,253,258,536,577,
107,385,904,647,480,527,879,647,067,988,917,069,103,192,800,982,081,397,964,
840,458,811,200,722,183,176,476,857,076,663,936,466,065,161,139,423,928,162,
103,455,831,828,014,167,518,476,649,109,465,403,855,532,558,304,565,423,933,
979,448,667,795,243,641,925,115,120,028,018,716,855,690,086,530,828,683,289,
498,819,996,050,103,362,182,529,341,236,898,263,142,832,243,029,578,038,960,
797,975,359,222,485,009,173,994,263,821,568,449,397,349,219,662,195,377,454,
761,597,534,733,287,122,964,058,205,196,664,796,568,804,892,939,052,057,862,
219,640,206,102,003,511,526,362,056,779,901,633,311,829,741,265,971,960,045,
606,283,138,916,657,823,097,866,418,385,073,984,353,667,786,117,758,575,377,
536,888,703,889,465,644,515,024,293,567,647,686,866,006,171,738,478,312,722,
133,711,006,971,166,376,373,759,065,170,028,466,782,125,418,266,261,786,516,
906,420,196,440,060,324,440,305,528,095,307,656,792,075,465,105,173,141,429,
354,826,563,278,555,640,323,918,559,406,825,493,425,943,790,859,784,041,600,
565,486,107,512,513,418,602,503,019,602,586,886,985,986,892,026,501,260,256,
123,710,011,700,607,133,947,277,469,993,670,513,862,902,431,465,201,272,301,
522,448,551,950,993,321,939,874,265,732,393,890,170,003,552,677,069,008,456,
268,514,738,207,351,149,205,373,913,805,801,236,393,562,337,226,308,767,153,
719,221,192,705,296,018,692,335,898,456,019,187,134,508,389,562,388,471,092,
052,188,131,733,050,527,363,564,705,329,616,044,464,812,196,462,389,316,833,
891,931,180,981,380,382,346,579,119,512,250,084,291,698,292,787,663,999,467,
332,512,930,255,967,701,297,563,730,519,142,167,838,838,930,802,546,248,210,
574,035,422,200,812,258,505,281,970,980,086,722,245,574,751,969,142,209,749,
582,859,902,991,046,520,767,684,621,076,084,916,228,272,195,332,155,491,643,
283,004,745,038,523,003,620,950,500,556,141,854,213,053,407,816,874,160,352,
687,090,255,770,876,626,026,523,067,660,536,342,631,007,509,803,579,548,768,
746,291,603,709,786,658,789,566,906,768,359,585,240,625,205,410,318,443,674,
532,069,929,206,657,628,877,942,957,673,516,530,399,871,283,122,299,515,871,
151,581,536,776,524,509,860,880,140,520,333,649,360,478,277,502,719,006,776,
960,441,360,941,198,334,908,763,675,238,374,412,586,494,386,270,573,313,794,
471,701,500,185,026,959,701,034,903,467,703,342,183,464,169,999,953,352,539,
225,423,839,098,094,177,927,384,711,542,122,373,569,940,333,667,603,933,549,
347,634,639,983,664,244,830,705,383,063,296,839,829,767,932,941,670,268,288,
676,212,833,857,899,737,345,005,504,968,558,971,145,995,736,895,993,109,799,
743,803,979,348,176,584,237,431,156,197,440,953,924,171,191,285,135,285,415,
762,898,350,798,882,317,981,976,241,566,346,588,199,192,932,444,120,523,364,
354,667,076,673,584,988,700,275,705,574,422,856,312,798,627,900,047,804,646,
947,190,091,418,015,599,445,749,120,157,645,186,915,717,269,347,333,622,006,
839,645,525,310,411,464,264,559,790,910,536,261,360,672,756,752,799,710,546,
506,482,063,617,894,107,746,601,514,771,308,344,742,227,124,063,184,479,805,
100,009,351,577,825,056,450,498,904,342,935,359,802,198,749,066,635,574,573,
154,600,352,465,854,946,144,129,009,709,311,592,205,898,393,717,334,859,864,
026,946,006,525,534,171,087,298,948,110,690,451,825,858,116,319,952,704,265,
242,806,246,799,300,474,955,810,948,402,129,528,690,094,919,191,407,063,388,
595,071,074,632,754,176,323,586,205,512,717,119,924,558,614,506,319,941,136,
336,782,541,526,732,318,163,424,232,520,276,590,212,228,309,135,016,450,610,
908,814,224,263,993,457,083,782,140,630,004,104,599,505,486,713,949,701,654,
617,040,180,288,843,553,315,345,111,325,546,003,559,167,828,954,480,591,880,
041,270,113,078,482,182,667,567,233,940,055,477,969,650,215,851,131,854,538,
905,463,866,983,325,575,105,809,167,561,055,220,177,133,107,023,153,083,642,
480,144,282,524,575,056,035,256,348,144,467,529,657,601,029,810,391,566,849,
696,296,422,662,307,779,650,123,687,192,286,698,156,532,501,246,042,467,799,
903,147,154,768,141,847,806,142,983,104,535,278,374,082,439,268,068,707,501,
865,401,035,122,575,230,720,882,894,568,461,312,161,497,577,523,443,686,406,
157,047,620,249,135,348,236,969,091,834,642,620,260,623,441,585,257,829,458,
599,411,712,354,689,566,081,862,623,757,584,311,971,555,688,180,707,319,739,
948,018,801,425,680,849,124,947,566,959,294,747,924,760,846,075,499,764,569,
397,135,304,706,995,933,196,885,515,425,482,675,646,225,933,649,560,679,922,
158,600,141,175,216,851,642,631,050,690,001,895,599,544,429,973,734,069,943,
071,424,853,710,562,360,519,502,203,501,722,139,518,659,776,896,897,645,210,
928,751,155,155,116,709,698,484,031,401,571,491,796,058,151,804,823,979,056,
769,682,644,359,454,602,197,166,024,064,204,898,398,946,684,239,937,138,705,
167,257,185,591,418,569,615,167,414,803,865,440,807,380,655,092,644,586,328,
883,038,770,764,589,848,066,002,835,186,406,001,340,960,389,439,866,375,317,
533,288,762,131,120,077,898,941,833,205,027,674,158,373,830,219,822,655,215,
810,761,130,013,315,563,284,800,489,887,705,701,833,799,893,266,262,206,705,
662,704,033,514,168,552,146,425,590,742,997,438,087,418,851,483,556,746,634,
304,074,383,468,268,081,800,612,723,003,484,507,769,210,937,050,215,435,550,
879,363,978,052,987,256,805,144,719,204,501,575,217,629,301,573,459,447,370,
655,732,091,774,533,307,497,687,235,905,980,018,730,012,780,466,178,560,614,
779,770,396,519,083,704,533,657,800,422,067,601,562,125,204,288,042,122,908,
852,661,901,325,724,031,114,516,189,837,146,545,844,519,312,284,999,150,990,
256,262,018,969,700,369,910,164,757,737,017,796,160,360,466,965,039,608,061,
052,067,036,971,090,120,248,771,971,496,683,958,018,140,648,890,621,314,564,
958,177,424,514,813,981,295,016,944,009,225,159,008,796,720,074,802,709,968,
340,228,104,355,075,158,281,317,194,948,421,899,611,379,709,876,305,448,367,
081,678,736,446,683,954,429,334,917,305,473,026,189,957,562,665,960,314,593,
131,160,397,332,211,087,030,138,331,864,334,847,545,123,175,174,529,534,934,
020,862,091,516,931,950,487,727,947,074,713,165,315,450,220,778,489,872,973,
878,855,110,896,157,104,054,549,026,802,988,822,766,722,849,648,328,909,193,
264,923,533,431,063,334,380,540,143,009,360,804,614,819,701,658,422,934,474,
623,884,052,855,263,065,827,692,491,269,961,907,891,932,845,269,610,894,402,
522,646,871,416,824,225,663,078,983,766,009,905,594,556,628,722,375,908,729,
555,060,672,613,626,131,403,259,830,829,063,119,568,452,715,418,061,049,531,
946,481,502,122,503,798,166,912,434,236,288,621,766,898,219,593,277,509,060,
085,934,019,819,380,590,739,141,121,719,628,360,397,084,449,262,508,677,272,
345,436,362,515,094,061,582,760,801,567,212,853,049,468,196,484,074,918,583,
758,408,834,306,521,088,939,823,047,626,682,092,741,208,842,427,311,606,464,
752,912,343,844,244,427,265,791,705,721,552,947,782,901,773,127,886,257,828,
029,190,317,087,181,215,119,034,870,787,108,979,697,893,612,061,947,687,124,
454,596,968,736,592,667,737,820,382,126,240,214,477,057,346,846,637,812,042,
056,473,575,968,062,808,767,574,007,314,447,480,597,353,465,142,667,818,251,
998,671,852,397,986,617,149,690,888,337,733,786,016,288,436,390,146,354,084,
243,967,652,410,737,156,538,384,538,738,854,610,040,240,993,659,015,086,671,
877,277,388,142,942,002,789,177,240,318,759,595,081,380,301,911,322,439,510,
537,213,609,325,883,419,274,831,810,843,039,684,730,336,429,690,267,564,666,
054,940,628,451,963,886,582,076,163,588,823,047,405,927,430,626,042,294,439,
365,088,232,006,897,152,344,385,434,468,424,754,293,337,621,357,125,739,834,
590,384,611,512,661,113,625,663,538,260,948,086,895,334,444,582,083,465,478,
558,461,686,178,570,106,092,998,642,529,966,095,936,081,194,015,130,893,384,
963,386,950,061,196,667,447,623,602,296,817,514,561,065,557,565,213,308,229,
928,012,508,099,484,945,542,917,060,543,446,860,092,355,024,814,043,612,010,
752,919,560,595,976,242,064,696,540,306,713,781,913,019,246,367,311,331,247,
580,761,497,423,172,795,421,630,901,600,267,472,690,665,354,294,253,885,381,
022,336,201,168,683,178,029,124,713,068,441,002,026,201,724,012,027,167,882,
880,360,646,084,433,795,809,265,020,102,503,259,830,872,720,796,561,708,763,
989,191,778,215,151,906,696,959,001,629,723,278,734,426,900,983,673,707,884,
729,338,988,314,577,502,079,474,851,189,923,852,078,754,557,441,719,422,559,
381,567,817,769,890,763,042,040,322,650,900,232,350,500,100,692,637,610,385,
141,755,486,881,904,264,652,930,483,058,690,432,323,532,766,504,983,777,989,
361,165,142,926,874,954,251,629,285,790,610,864,325,535,591,811,687,869,184,
866,948,078,609,891,808,767,764,626,160,441,577,982,168,137,579,338,150,179,
966,496,880,853,131,052,696,325,119,423,188,767,140,993,220,624,225,354,269,
008,918,328,022,572,216,454,541,502,894,661,537,631,538,432,139,980,200,399,
750,521,620,302,669,379,551,133,620,929,862,421,465,476,091,325,809,777,519,
254,107,840,857,785,531,601,352,090,520,274,393,298,717,639,369,805,193,674,
528,886,407,819,000,452,944,251,744,661,062,246,444,485,449,994,284,958,206,
517,994,622,595,479,351,293,470,145,035,004,697,468,799,470,706,594,754,309,
336,680,677,252,397,430,072,459,421,273,313,116,310,674,766,349,192,926,872,
181,973,469,584,091,219,556,032,438,923,561,516,993,163,944,214,907,514,289,
407,903,827,325,952,801,800,391,728,763,876,422,462,412,958,188,256,381,468,
096,656,977,634,653,671,428,561,963,015,815,125,188,081,009,093,130,717,896,
097,992,805,216,576,562,773,815,405,350,070,040,652,073,325,931,491,873,237,
903,680,724,021,313,536,123,071,513,816,697,310,676,253,051,083,243,424,307,
093,870,563,192,888,404,716,016,152,399,086,768,982,468,523,009,418,427,701,
542,818,545,233,642,890,657,122,549,794,469,105,227,733,122,036,575,754,047,
844,192,467,886,170,522,251,160,231,670,176,826,961,976,900,419,445,405,627,
544,417,274,172,089,847,143,552,756,260,107,329,682,954,832,434,184,883,963,
669,673,957,719,297,155,836,152,582,407,187,745,123,184,148,541,101,700,428,
806,403,991,254,236,625,308,607,119,626,257,789,907,387,465,890,398,301,666,
966,859,711,089,374,241,603,810,697,367,667,093,028,089,474,912,997,220,828,
496,586,426,647,917,999,770,953,643,413,315,350,400,111,406,228,248,405,150,
790,914,685,748,789,604,889,691,629,225,595,833,118,786,398,740,194,139,925,
060,409,679,626,731,271,775,556,846,510,768,561,428,077,098,503,214,154,677,
496,211,414,883,993,980,776,269,271,925,721,231,249,116,875,521,775,151,848,
175,522,363,315,114,828,061,072,064,317,672,836,411,723,801,270,720,075,820,
277,782,648,499,449,262,271,520,611,901,448,937,856,899,246,728,116,363,407,
447,264,689,685,269,868,519,740,720,031,510,025,990,257,040,096,977,780,989,
952,660,861,973,977,529,296,147,929,903,743,339,088,644,795,020,572,187,121,
978,077,860,261,701,030,900,632,897,618,375,976,288,259,530,248,081,608,665,
217,519,598,691,277,763,145,669,428,875,488,911,089,081,996,857,570,663,987,
692,062,857,665,618,688,370,830,769,906,967,983,650,697,045,017,507,353,974,
834,367,321,455,665,238,798,333,863,584,402,467,574,076,214,341,921,344,966,
281,604,633,454,685,858,769,388,955,560,624,209,555,586,285,858,891,248,291,
841,614,169,306,565,562,109,599,128,554,505,886,835,684,271,050,694,199,747,
413,231,219,897,702,755,528,378,883,182,733,202,639,142,726,392,207,731,081,
505,789,922,303,388,695,346,865,838,586,570,813,381,146,421,283,437,548,450,
795,891,154,870,897,017,639,789,360,380,539,755,190,897,829,482,473,063,108,
837,926,123,450,883,959,574,894,388,579,229,301,406,072,029,154,085,542,296,
022,766,086,287,652,641,088,937,900,206,655,000,596,426,042,028,343,234,712,
582,884,308,520,241,787,675,793,780,779,127,919,984,746,361,758,510,621,586,
443,022,735,127,705,981,949,928,027,131,974,107,834,363,273,793,045,191,583,
653,121,837,537,359,700,671,853,620,801,141,266,998,679,632,670,504,791,899,
116,980,513,631,789,984,328,636,358,335,406,171,645,722,770,111,241,782,702,
948,154,767,585,262,263,806,012,907,880,810,926,477,767,769,042,181,248,210,
052,336,270,800,468,216,465,975,150,489,637,130,748,919,044,128,193,640,347,
191,485,229,723,174,861,544,711,789,173,245,488,887,706,279,430,259,042,888,
453,588,166,552,691,327,792,589,066,165,072,550,797,596,121,989,535,876,451,
387,282,987,805,548,888,633,182,784,256,658,505,299,885,293,760,685,253,417,
936,825,796,355,244,049,310,898,654,866,403,070,950,034,268,738,047,059,334,
949,447,598,141,229,463,627,507,054,636,950,335,838,255,328,485,566,468,095,
682,941,587,536,300,732,763,353,394,259,323,023,812,901,385,348,886,918,046,
411,439,129,187,802,643,908,708,260,713,075,938,645,221,464,750,319,790,374,
709,882,629,756,684,629,175,715,532,081,852,344,555,837,529,376,655,729,849,
005,343,349,290,357,934,587,851,067,509,196,424,336,971,613,018,139,447,831,
336,508,215,410,797,514,144,302,435,345,197,931,514,144,611,298,608,946,282,
306,729,314,385,648,324,728,838,040,419,529,636,726,927,428,858,286,503,121,
076,983,312,672,249,075,371,058,909,243,517,520,454,157,515,655,934,465,006,
408,178,478,140,866,636,019,093,034,852,556,294,411,949,327,892,255,725,838,
629,388,122,925,436,502,952,579,314,243,691,708,007,470,697,377,047,818,678,
377,180,741,105,979,223,704,506,826,628,723,114,094,277,903,052,158,579,045,
939,079,567,223,144,755,680,849,622,210,205,720,316,644,197,122,453,955,360,
839,950,352,960,482,357,126,838,368,437,588,539,382,953,141,359,369,531,304,
290,763,015,115,973,644,247,222,185,989,397,785,180,492,575,330,806,633,468,
524,921,470,275,975,009,167,504,338,728,834,273,247,591,740,865,053,738,739,
081,647,016,660,462,375,311,996,687,429,092,816,353,371,911,490,196,551,064,
905,811,408,394,442,395,334,759,125,100,579,647,144,862,319,217,703,454,450,
823,491,191,886,194,373,261,781,395,993,020,450,648,654,911,865,360,202,453,
216,583,916,504,966,410,658,677,643,102,202,343,676,992,976,310,271,109,987,
153,505,650,084,284,837,053,112,949,273,907,606,274,887,771,547,762,939,101,
739,661,082,775,277,223,391,103,985,566,269,203,548,190,565,231,780,829,240,
068,339,844,107,737,136,485,907,355,362,518,705,829,919,885,910,283,627,146,
742,754,211,630,856,967,975,965,627,579,609,434,211,358,416,479,604,176,441,
076,859,444,033,809,025,461,590,378,510,372,204,750,025,791,595,096,945,067,
110,940,996,788,934,375,434,957,057,952,667,929,299,528,716,501,216,877,446,
391,503,956,583,517,110,665,188,531,200,197,002,013,842,135,692,880,936,779,
139,030,601,222,165,500,599,002,455,982,735,293,054,407,015,439,304,285,745,
471,031,482,758,730,376,246,567,428,592,602,538,832,177,226,926,980,571,627,
155,641,406,714,595,152,737,954,703,366,677,461,801,287,321,841,213,265,990,
039,678,217,034,581,680,607,418,758,206,693,938,404,183,185,883,836,355,726,
100,049,797,012,270,310,874,037,417,073,843,681,035,562,464,158,411,993,580,
809,755,642,965,042,803,897,002,013,300,137,899,404,371,768,086,279,319,228,
901,586,745,338,362,604,563,377,269,505,142,910,458,750,680,947,438,255,704,
717,150,794,197,441,457,191,920,749,932,626,071,168,734,757,590,434,931,946,
078,293,972,882,849,790,168,203,231,493,686,026,873,735,046,670,931,330,783,
777,185,786,658,592,150,967,647,075,303,711,811,759,518,076,600,334,708,224,
139,341,788,423,958,413,537,045,965,511,853,793,848,650,286,291,189,322,488,
209,975,628,425,437,714,021,202,045,366,068,515,467,143,163,950,406,215,943,
121,289,474,205,754,264,517,988,757,284,349,229,074,678,372,179,926,360,586,
338,568,555,934,451,582,706,707,099,945,731,790,881,888,931,414,372,605,484,
159,676,040,269,727,225,140,402,908,030,260,240,738,638,496,844,551,875,536,
519,635,953,526,534,178,766,610,817,427,284,412,636,674,672,781,507,547,118,
141,006,921,880,856,817,651,588,383,398,440,975,796,927,279,493,610,237,933,
857,810,370,152,311,824,530,595,243,824,909,440,995,360,530,396,542,407,400,
431,126,170,653,969,347,477,848,260,825,785,202,836,717,277,045,066,467,576,
605,287,494,561,572,110,779,791,697,042,367,442,827,687,403,842,862,911,387,
560,470,056,706,782,744,822,347,088,495,605,647,708,500,441,880,546,616,619,
824,575,590,460,493,313,716,153,445,011,861,847,313,664,996,748,292,358,000,
099,155,335,581,256,396,174,215,417,257,261,846,386,151,441,603,792,898,512,
843,126,209,494,932,233,390,827,784,747,862,361,079,376,390,789,627,966,689,
772,629,230,062,272,113,323,224,730,236,981,198,839,885,606,073,928,972,814,
222,092,154,368,560,079,728,278,032,813,910,683,528,823,478,295,706,197,168,
655,140,745,589,143,096,062,202,496,883,971,226,889,108,718,578,224,561,521,
182,299,564,237,863,139,985,813,632,002,826,262,460,508,927,016,598,038,715,
102,478,700,263,155,740,728,412,277,550,315,822,727,518,905,081,850,481,232,
206,910,690,924,889,770,609,592,601,811,861,970,020,364,689,142,006,877,591,
956,888,567,284,726,068,412,428,039,871,322,013,209,992,883,558,643,613,424,
987,080,587,602,859,299,396,907,198,683,646,096,829,668,710,542,988,142,936,
014,736,949,953,114,008,587,818,758,550,116,830,451,331,122,777,797,044,611,
358,776,566,005,841,216,066,547,745,507,572,686,937,283,586,378,204,070,665,
037,909,387,983,449,707,977,075,087,729,313,729,061,748,886,533,944,226,348,
922,556,549,589,929,578,966,923,955,058,957,507,246,691,821,543,871,678,433,
647,440,809,324,707,242,409,306,347,094,034,630,361,402,459,099,208,066,763,
577,022,294,757,746,872,734,263,410,873,045,066,926,493,296,875,073,929,867,
303,357,732,597,934,970,468,223,725,261,634,022,936,932,873,695,635,247,945,
087,817,125,091,927,083,551,865,060,421,648,267,551,842,336,596,591,629,401,
737,648,058,681,201,226,829,659,361,258,523,151,588,186,056,245,314,597,591,
070,699,414,072,743,525,353,934,707,465,889,330,065,408,903,102,932,797,499,
670,215,050,282,594,150,915,992,276,409,624,888,155,968,937,482,451,563,430,
134,280,832,495,989,759,148,122,058,083,354,423,567,820,568,251,051,301,095,
500,354,398,002,391,936,070,956,859,705,946,688,710,516,500,692,355,123,949,
058,563,038,002,650,574,038,578,482,581,989,103,060,561,825,369,873,475,014,
155,446,074,980,331,033,556,094,327,459,939,459,514,976,237,770,082,963,060,
608,807,179,400,497,153,013,377,035,587,375,288,981,209,965,382,787,675,664,
290,313,146,650,916,688,881,200,659,829,361,074,451,384,265,310,179,201,127,
425,339,327,133,723,732,433,570,188,078,074,849,126,777,586,800,767,511,344,
102,310,104,217,425,394,318,680,959,841,142,751,237,610,593,263,983,577,702,
071,278,887,699,545,500,427,129,062,813,944,887,271,875,030,439,458,164,556,
969,061,181,261,237,953,230,391,836,956,888,225,459,882,045,558,985,908,790,
569,515,075,633,078,723,606,239,601,218,750,187,622,044,418,267,004,156,961,
778,185,416,289,765,540,050,606,763,642,594,361,332,991,656,309,202,871,990,
511,783,955,717,760,366,796,985,573,585,221,641,546,828,614,921,645,973,252,
262,541,239,613,886,479,076,972,180,179,394,628,312,452,647,871,455,105,045,
463,014,464,204,409,582,984,380,334,802,298,115,300,252,535,101,821,846,850,
196,553,067,554,257,653,062,588,567,304,654,848,099,496,965,108,579,628,338,
736,395,163,676,732,854,545,266,751,065,248,248,189,502,780,211,647,989,863,
416,776,273,673,681,621,228,308,808,308,065,450,089,244,002,534,668,404,992,
532,739,954,423,556,940,972,865,996,723,605,983,460,927,208,086,687,421,512,
328,434,198,168,183,637,820,723,642,615,779,122,042,979,564,394,636,505,792,
276,834,657,149,641,593,114,444,671,448,053,864,807,589,908,303,816,457,940,
151,194,019,536,756,715,698,812,235,753,484,686,373,590,298,679,558,583,054,
474,905,001,825,168,434,275,181,936,702,739,726,347,298,785,008,733,074,885,
592,715,891,897,962,202,160,998,170,332,300,123,212,587,964,616,080,846,158,
689,575,976,187,039,947,315,093,595,459,675,812,556,412,196,224,690,134,306,
944,176,648,689,930,564,941,520,015,212,685,470,957,583,422,581,921,380,366,
256,346,527,693,427,264,620,432,699,353,168,183,012,766,552,046,546,650,492,
158,451,238,951,213,073,831,819,115,359,863,160,192,319,300,937,560,943,201,
028,141,166,044,854,335,368,288,676,395,676,232,477,368,207,838,216,580,161,
196,887,250,546,373,875,213,783,862,390,431,727,572,583,387,467,177,635,061,
954,823,067,615,780,888,417,916,253,802,409,936,394,341,224,212,915,571,504,
483,552,150,418,705,270,121,210,824,382,317,206,910,381,082,224,190,008,245,
879,407,078,924,125,104,736,074,636,876,249,439,041,896,769,689,375,348,715,
327,869,133,186,478,344,135,278,584,877,768,119,782,516,538,128,176,579,140,
192,207,338,896,403,210,431,887,502,537,727,920,625,622,110,563,320,291,693,
065,290,616,983,184,050,944,078,172,115,666,873,407,806,548,949,300,228,821,
218,415,826,370,457,029,546,293,345,577,339,089,314,083,563,596,235,682,301,
942,170,130,455,945,889,692,844,019,738,856,520,823,812,663,942,154,945,123,
637,204,585,314,539,116,482,728,728,176,302,130,552,897,164,522,096,985,051,
681,136,423,258,073,918,465,628,849,090,756,227,190,635,903,018,642,541,560,
938,401,775,768,585,190,388,638,643,107,885,190,386,588,228,962,978,646,137,
894,844,922,291,240,878,287,269,653,861,555,496,664,885,865,904,759,146,679,
735,460,115,574,066,659,818,092,454,947,393,752,940,516,354,604,814,725,579,
764,186,296,996,932,278,127,233,540,256,807,046,704,962,154,066,196,612,620,
672,882,363,945,643,422,498,586,061,792,963,627,417,954,560,788,429,561,926,
280,435,714,500,606,184,914,091,480,976,388,264,712,330,404,848,866,053,809,
792,096,748,666,414,027,142,637,025,921,860,022,259,887,396,542,036,477,453,
759,553,430,953,476,507,836,609,543,019,926,952,916,198,133,915,319,180,528,
716,922,142,035,720,415,302,235,759,410,267,474,916,133,986,606,077,436,623,
144,615,123,369,163,476,409,257,235,056,438,010,490,245,749,681,080,978,468,
065,481,818,415,578,271,251,675,913,768,478,100,372,257,906,135,846,558,617,
241,848,427,803,681,999,196,649,309,779,084,538,320,583,070,872,687,908,094,
272,466,071,881,121,525,563,493,981,567,900,811,296,087,594,652,352,989,965,
757,356,446,093,984,711,939,893,013,904,841,439,031,333,862,182,708,811,733,
297,564,372,537,462,664,791,204,520,864,617,478,761,109,983,628,183,623,083,
561,206,580,061,881,502,783,330,869,501,034,819,987,074,817,798,878,986,065,
385,683,228,168,325,786,865,026,753,431,713,238,156,817,503,884,037,898,628,
423,405,409,697,658,497,609,855,786,028,520,215,691,771,845,320,631,956,666,
117,437,367,232,731,824,529,527,997,997,408,398,730,407,069,330,968,581,855,
168,760,588,685,486,337,811,462,167,742,399,187,937,984,193,418,883,891,590,
573,447,663,122,426,415,794,835,457,253,692,764,467,397,127,170,443,829,858,
650,060,265,101,149,727,657,130,944,062,124,615,301,541,419,323,847,562,628,
399,606,216,602,518,698,157,130,191,824,010,402,372,719,234,619,540,181,012,
717,313,078,203,018,463,739,752,775,139,939,811,329,621,424,149,575,763,680,
180,248,893,381,683,064,362,747,386,448,217,792,256,283,387,111,121,449,740,
309,240,970,916,611,912,810,814,969,493,027,803,762,999,434,889,327,133,294,
843,138,617,607,643,585,196,716,645,394,765,563,133,095,412,512,190,402,742,
089,240,667,048,064,839,394,102,029,164,977,231,260,284,087,450,320,866,897,
190,635,505,064,073,077,486,686,312,544,407,879,601,698,364,717,071,695,453,
012,560,850,416,010,326,279,569,908,857,765,489,883,942,614,439,848,729,392,
337,195,934,233,134,583,069,977,163,719,876,438,703,606,486,590,864,279,405,
640,066,635,981,408,274,092,758,197,649,531,223,066,478,632,042,960,552,067,
572,130,214,590,111,288,685,246,057,091,894,226,054,346,304,622,410,695,164,
557,534,779,795,276,809,287,687,425,331,825,727,470,684,794,939,363,928,766,
553,160,652,922,440,882,037,873,869,475,923,837,340,343,739,101,101,282,071,
260,633,362,916,673,718,150,199,296,082,984,282,557,227,210,005,451,133,689,
119,180,063,606,233,150,992,444,041,261,971,092,671,378,522,986,056,372,899,
309,628,595,620,050,487,630,500,240,826,116,499,057,962,213,490,536,238,442,
980,993,938,631,957,666,836,917,872,375,455,651,822,864,057,591,398,564,855,
201,031,904,229,369,753,443,662,546,724,120,284,910,086,718,368,944,948,282,
774,722,037,876,581,015,897,334,213,174,984,235,191,541,758,374,224,016,789,
241,781,117,692,486,893,212,839,061,846,029,342,547,213,959,446,355,369,821,
380,935,281,503,430,205,867,694,522,563,631,879,089,091,691,411,813,390,759,
046,635,836,522,443,776,774,606,107,218,114,153,606,924,757,372,488,266,873,
778,317,688,391,523,684,427,098,427,800,398,494,511,344,980,994,000,993,592,
478,015,354,855,104,318,724,896,466,204,563,737,347,295,627,728,774,330,737,
790,055,694,254,357,404,186,552,519,380,759,238,762,534,066,960,516,697,575,
715,308,789,501,350,367,962,331,146,665,324,795,590,538,277,158,081,989,629,
449,840,140,321,692,874,234,478,166,631,657,165,990,410,597,444,187,289,708,
207,755,776,425,326,426,055,303,513,672,050,972,990,979,153,924,008,722,208,
477,693,437,703,868,370,839,098,857,788,309,168,287,790,359,152,192,145,146,
728,605,554,173,114,561,383,238,653,120,191,318,209,324,566,144,746,958,152,
050,216,038,188,457,171,579,772,521,833,891,920,500,281,342,713,975,522,380,
519,012,674,820,814,496,281,208,257,778,922,771,991,785,997,267,114,717,031,
571,747,901,005,611,356,686,267,887,713,219,283,460,517,287,036,901,419,773,
573,465,497,962,985,801,878,336,933,766,061,109,772,582,655,631,622,325,426,
100,981,930,265,971,708,296,878,378,053,584,965,857,889,547,519,722,599,631,
014,531,023,437,932,788,283,852,782,588,730,177,350,331,293,619,984,949,632,
891,415,902,763,349,558,470,632,809,371,152,316,162,726,844,770,650,298,907,
268,201,106,796,177,391,851,742,143,664,813,955,476,073,391,773,609,351,425,
534,450,833,025,750,223,001,585,933,577,848,637,099,159,814,807,782,594,746,
924,791,668,615,014,188,887,674,784,957,442,039,792,573,833,342,779,999,168,
606,217,975,919,420,008,714,337,543,263,226,135,414,747,353,433,689,112,361,
804,590,183,191,150,606,571,370,801,728,975,786,450,695,970,696,510,360,375,
615,804,126,125,943,151,347,014,237,093,266,036,018,456,137,004,449,066,685,
097,334,305,450,819,587,640,117,755,042,558,085,132,979,487,757,907,054,369,
575,586,766,612,860,940,441,097,064,342,096,440,199,247,133,397,379,698,983,
988,984,986,666,226,826,488,887,136,073,972,558,689,236,982,052,218,004,808,
169,663,917,913,134,422,372,110,395,345,868,124,397,103,481,580,507,566,279,
227,377,750,063,253,631,934,216,887,426,635,256,522,385,701,958,706,400,302,
862,848,136,689,431,102,442,626,535,170,877,949,856,160,025,721,052,573,985,
505,605,874,286,071,076,976,751,450,114,055,528,710,949,808,740,216,047,129,
782,024,810,049,398,494,701,883,949,234,675,828,915,598,997,154,930,559,289,
366,316,544,931,401,590,564,199,423,485,580,320,669,569,145,052,926,378,883,
348,228,152,339,861,154,901,176,690,563,338,347,621,721,252,166,260,163,828,
528,442,876,819,326,842,625,158,094,572,052,527,775,814,019,114,860,750,139,
265,630,027,283,580,654,114,793,682,557,949,788,060,904,658,901,974,447,272,
058,493,402,564,445,925,048,175,440,393,461,854,939,230,139,687,107,660,298,
677,938,009,914,987,186,286,934,478,538,128,468,374,489,668,471,020,585,600,
717,564,904,111,337,995,190,565,938,537,221,803,104,548,051,654,759,255,691,
695,157,929,168,648,059,725,409,975,652,840,384,633,589,848,041,445,571,784,
372,404,265,813,823,045,625,289,770,209,940,053,293,998,646,658,571,216,459,
004,025,429,834,414,657,521,683,716,139,195,345,526,260,718,482,499,450,276,
714,341,518,422,552,198,533,975,640,290,720,387,463,289,867,689,542,063,515,
865,540,387,888,166,417,930,179,985,565,047,815,935,635,760,206,074,903,968,
085,753,475,711,955,292,186,664,349,498,130,604,379,458,932,035,231,827,817,
242,738,262,505,218,096,843,167,400,103,464,759,869,770,167,012,558,221,405,
515,884,532,524,952,729,986,748,046,554,584,444,096,955,347,483,627,087,197,
950,583,579,119,954,249,452,438,690,259,891,947,872,612,010,275,020,925,389,
356,311,649,565,237,500,330,874,140,639,982,847,548,137,940,115,910,998,950,
092,005,318,880,267,230,156,287,791,862,074,670,011,120,162,182,031,950,781,
121,553,421,587,920,135,584,164,114,776,666,156,770,412,354,189,957,775,962,
609,191,854,231,572,581,394,859,043,620,885,026,901,602,311,354,586,724,771,
473,724,584,017,464,666,412,488,976,481,243,432,618,063,273,323,688,658,951,
332,035,894,502,341,135,236,261,803,037,241,818,644,651,781,072,754,432,479,
871,950,793,066,573,120,665,379,354,570,256,289,828,414,862,707,462,545,679,
508,250,634,271,246,830,265,830,224,559,224,053,322,039,030,206,429,732,902,
603,659,999,675,234,082,323,622,113,771,875,963,754,385,911,329,767,045,802,
464,472,531,721,134,342,784,453,321,484,036,686,557,226,598,959,477,089,906,
247,864,728,622,656,044,000,505,968,689,481,939,834,254,026,997,321,294,898,
008,803,853,072,131,905,047,768,555,465,622,657,561,914,608,213,061,643,532,
395,038,894,920,548,739,973,471,077,043,160,326,904,344,694,698,469,765,442,
990,471,283,682,610,749,953,784,541,016,801,213,242,109,756,697,691,689,045,
758,853,992,097,596,137,303,984,721,754,825,218,450,852,039,068,062,796,016,
126,784,624,091,777,308,542,363,040,685,385,587,220,326,909,541,460,937,275,
167,157,132,944,515,712,633,171,536,700,736,521,401,113,545,764,482,541,966,
615,307,840,120,798,939,481,901,774,355,363,385,778,743,634,924,977,519,317,
801,060,587,810,488,737,024,968,493,821,263,674,714,341,609,371,104,899,528,
602,459,983,152,579,295,130,150,063,205,806,043,233,796,496,913,879,139,722,
793,740,540,623,618,972,409,755,921,511,221,033,598,932,922,384,414,329,914,
246,696,576,629,361,093,295,324,656,559,164,289,991,454,190,355,001,023,724,
237,934,540,948,939,799,816,006,896,949,559,964,613,178,522,202,282,257,000,
022,116,600,024,641,213,202,418,944,308,406,038,450,358,960,174,784,295,875,
777,095,726,229,683,387,587,558,279,874,189,750,656,948,276,445,211,351,529,
425,182,069,027,538,031,368,206,027,318,633,084,377,170,433,156,694,391,817,
583,534,803,042,562,984,092,332,058,961,879,543,132,949,849,052,239,793,965,
399,435,857,365,430,093,052,300,876,330,579,923,340,542,866,366,164,083,720,
040,934,341,230,267,848,486,757,298,347,716,413,779,840,124,445,664,688,572,
635,558,013,486,177,223,668,728,513,320,915,641,661,946,545,977,695,648,969,
236,180,609,001,124,340,692,387,615,845,236,134,350,919,199,462,356,836,766,
134,782,919,151,568,685,522,992,288,725,188,745,899,103,681,536,039,909,411,
395,583,707,378,096,633,966,136,323,413,498,937,750,102,986,690,624,967,719,
323,762,198,807,419,790,553,246,022,325,386,230,304,940,852,795,961,438,516,
493,294,122,367,088,383,969,078,396,629,831,361,101,336,032,772,124,783,312,
824,792,955,786,942,665,990,408,466,313,104,626,729,694,839,047,761,354,224,
655,860,179,407,406,735,988,679,918,764,804,223,378,020,133,410,990,760,963,
380,638,228,700,830,683,034,518,698,233,401,467,178,220,754,721,088,200,207,
062,660,301,778,534,793,161,861,812,606,092,064,989,536,781,922,849,197,044,
962,320,289,624,587,508,094,508,166,905,152,321,700,240,075,932,632,610,091,
441,187,739,058,751,404,023,126,226,639,802,730,169,566,664,515,091,711,900,
951,056,442,337,945,836,129,661,548,494,965,006,036,817,333,070,952,922,662,
815,404,504,335,985,003,594,853,351,091,826,795,223,906,193,601,938,116,077,
828,804,448,985,977,647,994,210,039,006,080,859,380,061,751,757,030,083,450,
986,088,895,753,132,642,615,953,926,640,020,469,853,173,689,393,397,209,188,
161,450,519,620,927,113,322,297,759,257,625,301,792,006,318,158,866,916,232,
956,259,175,798,475,684,608,910,975,698,711,159,424,155,149,474,022,625,941,
756,315,775,376,576,746,424,701,149,646,764,037,930,463,730,907,049,123,124,
543,498,758,646,180,809,945,577,111,307,834,413,992,085,666,073,507,651,938,
746,329,221,763,721,769,603,970,080,153,426,741,497,871,241,667,152,086,254,
569,144,858,079,696,440,019,819,742,700,052,372,133,196,149,215,517,449,409,
731,821,817,133,572,124,327,730,156,546,204,324,236,180,651,888,580,463,483,
983,967,489,250,277,410,883,068,078,606,516,105,191,582,011,594,600,649,003,
587,346,359,235,392,033,419,867,489,466,084,181,385,890,548,121,756,235,886,
014,776,338,842,569,257,386,857,228,970,425,419,731,065,197,533,208,932,900,
313,677,320,326,476,382,832,002,172,193,197,192,499,463,897,012,188,433,731,
613,052,392,437,850,573,410,591,486,889,792,623,217,234,239,764,588,956,332,
111,030,883,266,860,068,666,795,889,827,559,855,363,446,135,112,855,781,264,
084,789,649,916,334,372,482,405,120,254,803,654,642,992,124,951,762,818,942,
830,449,491,416,930,909,395,942,923,157,232,410,940,053,527,484,992,375,265,
795,367,181,969,900,306,504,459,575,064,619,190,521,171,681,780,799,267,660,
550,602,936,803,269,585,529,395,483,057,610,435,129,752,236,267,154,417,954,
170,302,915,470,427,202,683,371,783,898,635,618,000,394,178,980,651,455,863,
203,598,873,004,674,005,617,626,921,391,698,888,461,587,594,435,210,514,534,
441,787,444,006,134,153,275,067,536,513,013,815,715,521,103,026,670,981,902,
887,738,590,417,485,156,446,521,141,338,124,378,602,488,344,253,868,413,153,
964,391,482,674,794,670,586,518,903,086,854,744,528,226,176,395,634,354,045,
717,805,218,665,085,564,841,941,739,837,987,774,765,841,785,316,431,484,409,
154,834,234,097,874,377,221,436,703,954,612,435,441,124,881,253,969,580,802,
051,767,048,517,503,127,687,272,961,420,543,737,579,630,348,145,275,572,400,
451,673,030,822,276,722,639,757,865,040,085,404,799,500,686,182,527,613,530,
840,279,612,386,035,368,602,575,382,865,759,970,432,665,079,432,345,112,541,
840,193,396,819,119,870,378,982,404,607,086,221,697,863,749,892,763,014,195,
108,490,349,267,537,154,800,997,680,838,908,160,473,345,172,668,052,455,171,
605,888,432,434,720,750,511,612,880,915,587,127,728,959,501,900,231,564,034,
582,821,299,169,201,677,973,478,447,935,386,692,884,659,615,372,736,601,163,
814,979,583,805,676,872,086,131,955,295,197,907,478,909,210,578,702,946,208,
086,081,142,699,424,741,385,013,141,589,397,311,026,562,715,748,607,252,694,
814,186,501,616,453,236,636,388,707,445,574,551,501,831,608,480,045,041,793,
783,630,142,978,436,552,143,577,080,242,942,350,966,875,543,677,531,838,061,
575,964,849,486,354,251,111,732,902,679,597,911,635,152,304,003,553,424,869,
142,783,948,585,579,602,077,060,274,708,751,369,898,854,753,546,672,719,397,
192,368,751,682,353,230,079,966,453,007,702,686,243,728,080,420,691,079,833,
466,615,762,785,224,643,380,810,122,359,580,072,551,357,635,271,683,007,987,
915,959,286,895,432,934,554,115,965,261,365,080,669,554,486,540,300,355,226,
593,814,469,677,753,827,835,124,105,805,238,324,067,694,063,016,587,636,280,
716,724,369,146,857,061,354,298,035,686,509,046,466,241,672,045,711,580,388,
650,171,489,398,656,095,374,789,855,914,003,868,458,243,900,545,628,896,119,
324,521,497,271,493,754,300,016,801,944,400,411,747,974,023,454,350,604,132,
927,377,472,379,358,120,541,812,769,670,432,933,886,243,975,682,166,018,938,
014,334,643,317,067,837,165,814,510,324,748,510,449,588,576,075,570,242,721,
924,633,758,614,037,984,126,690,169,881,695,349,310,274,629,742,269,443,132,
708,893,162,144,847,576,351,419,207,317,216,415,641,177,269,717,893,284,735,
022,589,390,288,191,686,983,650,747,828,130,714,222,109,990,612,415,658,104,
848,916,187,657,863,116,266,942,412,841,640,800,991,588,703,578,455,627,757,
847,292,283,813,434,653,905,747,533,049,213,723,487,209,807,871,382,182,084,
428,117,460,731,328,132,829,096,722,778,023,218,558,427,582,702,678,622,203,
975,880,737,618,032,055,980,210,365,413,510,808,771,185,654,747,021,719,787,
518,733,823,023,443,001,375,735,880,551,927,731,404,124,821,028,278,317,956,
775,106,958,488,026,889,344,905,182,529,536,911,924,641,072,119,496,727,166,
089,252,508,125,567,172,106,281,632,948,971,269,204,392,123,545,735,555,247,
499,519,616,199,477,519,388,889,954,969,014,909,966,375,131,580,204,217,922,
857,083,866,805,675,983,914,361,009,538,770,071,348,474,709,487,469,981,674,
999,516,682,606,728,599,167,886,756,686,107,339,102,059,914,874,250,742,988,
212,508,774,443,743,717,501,891,914,546,991,137,671,053,485,168,127,028,106,
450,721,716,905,006,333,390,291,079,505,618,006,907,037,443,314,647,082,738,
714,400,247,962,459,141,726,290,773,962,445,304,576,256,070,157,251,352,898,
763,283,529,769,714,011,590,036,882,344,570,760,868,445,257,765,553,747,416,
760,681,423,196,632,400,439,976,297,587,227,146,277,933,678,738,134,507,191,
300,518,334,254,309,928,242,703,304,755,216,309,645,497,897,315,665,461,354,
941,145,705,928,724,016,561,864,570,227,499,876,705,698,569,482,195,215,402,
203,309,413,970,181,015,393,531,351,545,387,985,211,455,559,530,765,161,089,
098,413,866,204,239,885,955,991,481,659,908,557,145,005,928,007,129,259,998,
447,985,038,650,716,730,213,182,215,014,811,493,033,442,054,037,674,549,387,
927,978,403,454,434,875,647,420,883,678,449,140,513,576,981,255,635,389,025,
850,238,796,069,984,098,258,541,842,038,759,672,053,182,679,406,147,645,187,
851,744,787,203,879,063,001,689,832,383,870,519,561,781,361,332,300,078,577,
202,282,858,619,731,454,610,328,786,154,284,459,666,621,414,344,900,116,527,
138,922,104,246,119,942,440,613,145,537,577,828,647,118,663,109,602,243,646,
892,747,985,805,623,807,826,021,070,913,539,974,637,434,678,811,446,130,070,
781,097,525,940,452,771,453,603,044,635,840,953,266,101,425,920,073,995,075,
358,675,030,421,796,641,502,882,334,359,326,423,653,936,988,979,154,262,184,
807,234,358,570,454,586,635,958,288,810,682,404,037,589,571,447,675,151,940,
901,666,803,405,146,525,884,821,754,795,640,575,527,023,704,315,081,825,491,
588,240,729,554,199,631,736,479,683,073,951,225,974,731,356,936,346,277,619,
777,398,258,193,142,794,082,903,383,730,389,902,720,264,180,295,278,928,162,
082,749,743,157,417,897,961,906,482,849,808,762,494,957,289,774,585,532,482,
532,820,457,751,125,316,870,266,718,919,886,798,478,053,322,752,177,261,416,
768,350,161,780,159,326,977,913,298,218,554,583,774,969,645,589,858,396,023,
414,719,153,902,046,983,369,140,795,766,683,991,463,009,017,696,642,718,518,
956,566,919,031,481,969,916,267,885,946,047,236,310,185,410,146,990,828,779,
312,869,038,037,480,119,400,677,975,418,815,407,633,691,629,565,603,731,790,
793,490,414,608,025,567,849,427,616,753,165,143,027,199,411,466,349,632,809,
423,622,470,944,139,831,201,521,975,624,856,677,135,556,201,873,973,753,224,
993,241,934,363,694,720,142,459,255,730,466,724,719,740,277,672,168,141,977,
918,736,949,908,496,385,516,064,498,448,096,753,287,653,168,457,977,257,172,
641,444,480,291,548,419,476,068,785,221,523,900,609,024,160,952,286,192,922,
659,187,909,803,441,329,612,775,537,825,430,698,078,059,647,201,067,002,772,
356,267,423,165,109,811,181,537,922,721,954,025,258,746,995,669,151,337,561,
806,236,870,833,824,077,318,983,878,475,496,094,482,497,745,817,602,083,196,
386,022,467,012,571,064,947,281,308,237,742,606,830,627,837,902,395,727,345,
878,480,172,407,554,413,438,452,658,543,720,105,998,316,569,568,070,321,602,
657,118,993,697,548,254,545,406,592,100,450,060,447,050,478,800,699,582,545,
461,699,972,210,331,785,439,657,200,542,189,130,797,031,576,919,720,042,075,
915,198,519,962,958,635,831,858,265,549,708,041,328,184,015,995,733,460,836,
363,052,658,378,299,127,679,471,446,366,068,852,712,938,117,838,809,207,609,
346,539,482,990,834,606,240,638,061,350,165,687,243,097,675,319,758,829,999,
406,017,155,260,930,695,458,729,095,928,657,794,666,199,259,178,451,817,801,
306,993,638,147,954,157,476,439,985,982,846,752,780,611,581,023,721,535,031,
097,949,237,332,913,346,753,123,681,324,862,939,453,759,071,202,633,076,468,
221,631,619,809,603,282,822,190,203,916,886,049,786,452,528,580,992,752,937,
477,760,491,741,885,134,148,174,377,632,493,278,719,881,820,452,795,481,045,
245,521,466,112,028,900,376,257,817,520,549,183,839,950,443,056,033,505,211,
862,774,762,761,083,319,623,937,693,681,512,101,302,226,349,359,981,514,347,
596,853,934,585,731,765,333,617,625,363,761,655,678,003,226,722,589,373,109,
909,709,243,694,482,982,042,544,720,723,272,110,399,204,364,118,948,643,951,
432,247,199,767,249,459,785,627,641,036,191,950,282,953,009,260,636,011,220,
950,932,651,903,813,781,938,922,799,948,541,799,584,470,944,424,324,601,421,
832,156,281,936,144,450,907,857,762,461,951,384,658,024,667,073,189,731,967,
818,515,685,535,537,371,398,376,600,699,081,672,394,203,188,782,852,653,150,
454,568,951,089,121,785,873,873,618,870,822,936,238,723,712,050,495,274,576,
438,570,472,138,306,806,647,674,179,944,717,092,743,347,604,103,786,679,899,
658,355,707,832,176,031,142,054,056,097,663,567,781,930,284,710,670,664,593,
317,125,965,292,977,223,548,320,181,818,899,450,405,104,498,747,819,559,969,
381,909,608,268,919,546,855,935,956,231,609,434,194,388,040,942,567,476,151,
866,098,562,041,103,769,334,537,339,126,581,979,353,076,493,184,899,666,610,
079,256,859,238,631,479,779,004,558,282,859,913,218,614,008,011,805,174,685,
203,525,957,196,843,859,003,753,822,134,979,780,298,056,256,443,352,443,991,
146,885,020,120,036,973,216,814,607,333,567,492,181,735,656,532,287,690,079,
040,013,127,220,552,512,732,731,052,554,240,089,958,232,070,783,887,707,777,
238,692,762,480,079,078,996,511,956,237,565,974,662,913,117,192,409,014,162,
310,844,914,721,578,964,535,217,724,854,267,162,962,759,029,016,177,175,357,
802,043,490,117,931,599,064,364,624,480,438,824,828,494,979,711,505,158,420,
294,518,854,482,985,081,514,223,733,969,251,103,979,482,295,729,791,659,937,
041,365,465,072,274,692,855,596,357,802,635,381,810,940,990,259,657,610,138,
653,364,403,660,473,479,008,572,154,213,889,716,475,703,185,691,472,572,909,
452,340,028,261,145,745,660,253,969,118,795,025,804,207,502,565,816,437,429,
424,621,394,801,488,834,029,782,924,990,106,427,083,888,750,327,994,034,331,
621,543,419,953,328,346,361,595,478,202,961,932,882,450,032,883,086,413,209,
811,408,132,224,945,971,149,618,259,786,708,149,115,373,561,188,729,476,607,
145,553,808,883,477,148,482,848,369,490,042,024,617,075,214,188,926,407,737,
747,061,936,324,997,973,715,771,324,624,706,529,887,278,051,541,595,346,330,
563,324,149,145,418,715,678,049,162,686,568,954,090,534,969,056,319,108,720,
620,642,599,806,398,881,421,693,239,850,369,024,852,121,165,053,169,685,603,
540,698,264,916,471,767,751,801,754,723,430,666,818,686,809,207,388,177,479,
573,980,555,559,669,174,390,276,004,995,739,258,593,909,870,535,897,771,685,
287,047,492,595,854,571,552,716,714,197,470,793,619,956,724,391,406,145,169,
967,006,606,391,386,349,250,288,840,112,917,802,562,827,713,794,321,979,092,
379,382,136,100,016,715,895,487,994,284,861,676,406,728,054,129,106,959,315,
714,838,672,407,278,722,873,219,533,493,847,769,583,734,968,667,673,385,025,
675,937,797,091,992,875,966,486,152,804,743,952,412,864,694,351,763,104,507,
119,946,371,903,395,036,807,438,421,815,249,142,080,167,858,044,743,015,844,
873,061,664,777,166,137,496,392,587,828,328,090,474,736,377,829,552,220,952,
154,621,069,111,002,071,828,440,374,266,918,431,007,440,977,921,708,654,996,
759,382,524,743,958,682,941,030,169,099,740,015,096,757,991,536,153,747,872,
923,253,934,760,088,011,959,373,282,869,329,156,816,838,687,590,758,877,237,
498,246,999,285,276,310,163,899,308,944,268,480,282,933,920,811,467,912,526,
287,576,947,968,877,265,638,292,419,224,812,292,529,035,863,707,767,891,839,
344,408,517,345,526,477,056,959,510,815,801,499,331,670,312,746,644,611,870,
633,985,063,959,396,306,206,102,595,150,098,858,344,848,599,814,303,483,750,
115,750,362,582,364,953,789,123,130,064,990,141,201,534,548,973,804,468,919,
613,564,748,378,061,813,390,771,915,084,852,101,762,357,139,161,349,258,356,
389,392,259,224,997,968,461,295,952,296,494,368,340,725,436,520,295,798,725,
237,120,289,507,585,133,567,509,598,338,152,933,007,769,948,886,883,013,933,
406,960,783,594,854,455,737,199,883,185,864,685,644,004,965,082,030,374,100,
673,984,272,855,316,534,560,400,886,719,115,767,212,533,675,616,727,538,387,
260,704,285,945,484,423,809,416,681,306,226,284,184,039,368,941,472,517,213,
283,671,822,276,590,430,274,053,533,604,508,667,630,487,301,808,656,470,765,
752,338,827,401,671,308,094,030,246,192,142,716,902,082,605,426,327,665,326,
775,996,353,438,034,699,925,376,447,709,921,594,933,846,573,169,157,965,517,
093,065,116,411,625,291,646,817,700,373,622,700,056,256,725,340,801,529,615,
285,972,982,192,357,745,442,586,581,643,240,430,610,206,219,675,747,836,854,
340,680,835,557,904,263,276,451,820,135,213,799,628,575,376,594,637,824,885,
094,885,539,055,840,536,086,387,122,478,829,742,167,181,885,463,413,822,020,
919,883,561,219,252,366,681,021,181,443,393,817,147,039,801,294,320,542,444,
861,909,438,853,591,006,887,394,250,986,724,827,622,920,906,008,557,799,890,
337,392,791,748,980,917,012,582,652,470,623,913,524,573,086,241,700,021,747,
515,849,927,050,956,864,503,669,683,393,714,178,374,857,759,224,526,216,162,
566,687,048,709,208,132,334,081,708,832,850,410,854,888,867,492,585,124,207,
041,387,190,954,119,672,942,694,120,430,727,164,546,604,535,800,474,475,971,
838,116,218,923,462,755,880,901,138,230,331,909,132,402,509,317,747,384,083,
428,508,505,261,785,191,312,175,851,806,393,717,437,891,605,798,986,182,181,
766,462,579,897,668,111,583,650,661,975,361,174,450,402,858,699,289,363,140,
937,304,658,802,179,787,804,060,243,338,483,281,898,670,437,420,116,832,138,
297,335,915,176,036,849,793,701,096,851,379,385,333,748,796,394,311,284,359,
862,179,656,793,406,317,762,072,845,030,764,254,533,146,550,834,512,957,829,
734,322,539,063,323,599,521,661,190,754,688,608,363,326,569,057,750,274,515,
578,786,243,193,546,235,622,054,134,347,735,891,353,299,048,635,748,363,552,
015,767,163,470,055,944,067,816,766,080,362,426,655,903,973,293,947,046,644,
429,936,106,520,912,353,494,646,148,766,307,164,256,783,220,288,694,576,107,
039,943,147,180,687,148,339,139,169,054,677,842,856,845,279,399,540,979,505,
199,190,519,556,218,919,376,890,057,983,261,425,582,231,920,411,136,284,306,
113,490,725,982,530,017,372,841,856,481,208,995,336,214,743,053,087,652,741,
709,639,827,834,125,325,357,192,760,899,520,582,522,851,070,314,745,744,107,
556,024,786,927,903,160,643,255,065,827,672,309,775,461,773,100,918,624,808,
741,814,155,538,900,476,728,433,709,215,772,946,708,268,946,612,408,512,476,
349,818,194,592,493,553,119,080,787,267,517,970,520,619,073,845,179,411,020,
700,729,545,573,310,742,501,365,673,097,736,202,533,977,860,129,503,018,128,
829,463,399,775,032,410,235,296,191,485,855,260,382,943,005,526,519,768,455,
096,934,178,766,327,964,313,108,636,772,762,766,373,683,450,097,229,654,039,
694,787,839,324,128,311,646,405,690,555,005,111,228,260,377,554,519,361,464,
561,864,993,355,432,977,426,660,217,634,749,921,324,393,844,001,390,641,790,
368,054,544,208,016,263,019,023,173,396,588,837,239,775,744,251,569,539,293,
288,393,763,087,911,946,988,860,971,580,250,392,475,344,302,216,620,670,036,
486,519,789,032,638,778,683,092,089,123,288,177,436,138,807,416,231,372,389,
258,442,018,980,016,472,277,138,844,057,392,234,755,847,697,743,878,581,231,
004,095,976,226,873,781,823,486,369,285,590,306,057,577,461,262,650,957,963,
654,599,659,870,594,974,455,015,077,824,075,250,844,293,962,082,123,949,394,
339,014,773,989,700,504,879,453,507,595,897,092,282,423,540,197,097,573,552,
483,703,760,091,007,950,402,003,399,653,746,759,369,289,068,415,270,544,034,
121,515,530,359,591,954,752,374,959,300,831,644,469,319,964,697,379,950,442,
893,379,944,866,802,879,451,999,975,303,795,938,369,001,114,157,808,543,897,
399,582,527,976,559,210,694,329,147,726,197,949,772,365,084,600,403,553,813,
269,447,651,330,043,215,658,757,757,390,566,354,938,653,711,004,233,549,534,
641,609,302,224,870,680,378,188,447,356,939,406,634,259,678,312,598,689,628,
179,794,945,185,351,612,027,448,055,461,766,715,820,081,487,241,270,250,005,
767,016,844,173,050,836,188,519,253,644,277,355,280,914,556,276,738,664,944,
499,218,865,016,110,643,763,828,553,283,206,421,860,980,739,938,591,547,058,
116,239,688,614,045,820,774,378,418,540,288,462,369,946,803,198,654,927,551,
208,513,454,699,890,835,279,581,738,645,369,292,233,785,256,542,979,759,120,
975,221,794,724,029,597,598,950,742,901,467,187,402,829,254,312,963,332,640,
359,935,272,493,080,506,521,365,550,926,886,462,642,769,981,104,050,438,334,
566,874,548,258,990,836,446,739,573,284,334,760,690,764,821,728,308,548,899,
113,522,369,963,008,539,113,805,671,840,962,821,916,825,586,324,584,539,832,
268,305,189,403,133,762,828,815,444,991,768,317,150,628,163,994,657,981,306,
280,199,253,246,025,502,558,176,443,589,195,504,248,019,299,202,974,125,887,
452,125,459,571,082,775,962,620,999,769,712,814,329,197,824,421,933,474,162,
041,645,770,882,891,109,611,607,472,654,556,176,437,921,785,621,151,716,773,
857,068,092,041,310,514,686,802,179,755,973,439,793,828,696,778,383,632,009,
317,720,502,680,025,234,484,248,681,850,122,097,033,787,878,785,650,785,173,
249,184,951,964,089,771,266,257,626,261,646,624,787,838,715,118,022,890,436,
123,947,519,430,704,767,416,193,113,599,453,871,820,540,733,102,019,958,147,
541,625,836,331,578,871,616,715,090,036,688,083,102,012,399,028,169,320,958,
047,429,981,850,394,221,994,892,286,803,552,587,143,142,146,574,530,939,328,
398,272,906,707,992,057,370,583,361,263,586,085,971,023,341,644,392,024,782,
971,512,632,445,028,922,461,098,326,000,648,358,385,751,331,952,983,375,362,
346,524,174,665,513,205,560,781,672,796,385,261,874,846,122,957,353,795,341,
159,191,052,895,409,512,434,164,518,283,683,829,595,045,429,050,270,157,070,
955,936,065,605,975,941,327,749,775,621,320,073,928,495,862,135,736,561,747,
510,348,699,918,149,527,186,537,096,316,578,415,833,537,584,136,568,260,464,
080,809,114,228,450,099,008,544,817,975,428,364,132,496,093,906,331,696,619,
442,982,504,888,095,184,487,019,690,689,477,637,191,097,479,807,918,186,791,
208,589,642,224,422,158,859,697,048,819,514,791,966,892,956,227,309,917,260,
565,310,733,204,901,966,101,550,361,582,579,809,261,580,111,823,842,235,630,
210,056,860,295,384,174,620,044,738,042,850,181,274,288,602,134,488,489,068,
321,015,307,428,715,304,898,315,522,858,485,512,904,173,091,833,786,114,519,
975,780,428,530,613,596,002,633,500,167,107,675,841,145,741,674,392,234,931,
721,323,275,525,974,806,776,973,286,901,421,521,035,164,604,481,737,595,165,
707,150,450,088,885,806,227,045,420,250,667,472,244,696,720,423,256,627,305,
268,986,950,940,719,362,332,882,729,675,396,162,264,305,679,262,779,749,842,
630,936,462,489,983,990,981,063,035,895,516,583,990,155,448,680,814,312,729,
226,912,509,010,814,695,723,864,866,981,764,287,995,030,582,879,071,015,526,
065,866,967,329,574,301,105,104,888,404,576,917,451,881,996,396,366,901,050,
458,178,110,791,010,097,869,884,542,536,445,977,757,673,813,598,558,188,300,
425,504,830,956,523,410,435,215,307,333,740,323,197,552,901,232,019,579,915,
423,837,641,866,570,728,312,736,487,165,232,320,947,946,491,031,619,677,955,
042,764,918,838,732,081,476,632,852,271,628,630,199,836,690,142,072,544,973,
885,418,947,665,353,120,577,937,581,634,014,959,665,701,339,153,683,139,162,
307,748,619,606,698,454,959,889,694,174,714,240,971,412,079,879,664,869,551,
614,624,518,931,310,115,660,124,662,515,703,708,814,322,858,862,991,931,995,
217,407,798,399,927,979,374,789,450,023,748,442,283,522,431,432,947,154,423,
930,507,731,609,439,846,062,344,239,370,488,036,101,093,645,394,584,593,202,
981,149,580,037,682,494,394,923,180,404,333,047,803,854,765,259,082,940,570,
593,758,815,302,573,502,265,902,466,398,093,018,316,712,418,393,628,185,428,
127,117,419,089,320,076,454,588,460,547,808,992,739,338,398,680,203,858,128,
288,498,295,236,371,209,719,566,633,196,070,129,160,563,670,549,320,207,855,
548,979,742,019,930,963,744,090,576,116,512,207,245,763,623,647,700,996,988,
160,950,880,432,482,332,520,314,543,116,338,645,059,563,658,563,481,238,228,
856,240,272,530,143,559,821,093,586,410,662,910,676,152,715,756,987,670,936,
006,147,713,903,802,038,455,862,967,480,518,461,563,559,910,864,906,845,873,
857,503,555,954,581,059,721,357,562,787,086,145,615,236,360,709,687,283,551,
304,356,715,325,303,917,601,748,314,511,598,537,399,206,546,245,868,956,907,
267,981,551,525,158,837,346,534,220,861,555,763,107,975,767,396,752,355,163,
145,656,228,400,514,867,459,495,585,191,204,661,379,773,508,541,833,562,245,
542,492,575,574,969,107,880,798,633,081,031,595,543,942,513,799,985,771,080,
736,263,616,995,404,923,900,635,254,428,712,469,021,374,279,799,563,217,917,
323,184,147,709,120,572,634,289,377,555,428,397,180,260,081,257,504,987,896,
767,222,163,196,330,560,100,972,247,624,194,643,170,866,583,805,705,565,090,
370,972,027,668,583,680,589,810,642,590,832,152,411,632,428,509,423,566,200,
237,938,690,357,933,323,430,455,232,855,530,355,347,326,612,580,264,057,981,
336,979,896,807,410,169,822,698,756,318,634,049,701,621,785,684,406,250,059,
549,360,041,896,528,497,891,105,992,677,540,188,294,540,509,133,262,833,397,
594,391,160,976,678,889,204,507,117,796,732,037,938,359,329,003,814,575,596,
267,864,555,824,726,091,057,422,780,553,886,939,615,256,025,031,383,975,794,
487,286,063,954,609,243,049,335,721,117,207,385,601,330,153,753,073,461,414,
109,714,034,217,973,273,960,773,508,848,867,320,602,917,544,078,615,072,392,
474,030,808,194,316,772,907,500,927,420,685,579,357,891,734,856,310,626,293,
572,379,271,348,029,057,248,061,548,892,865,444,756,279,090,174,949,955,072,
798,915,469,158,176,333,310,195,826,861,740,124,544,400,174,051,173,599,276,
831,386,547,006,135,077,961,081,550,664,194,613,223,020,941,640,792,626,125,
188,760,727,591,268,683,546,265,552,680,877,964,284,180,060,252,005,275,355,
325,345,923,625,200,819,354,049,504,002,847,043,930,770,577,808,542,976,497,
782,480,872,265,953,945,033,476,007,801,803,500,429,808,543,917,109,087,780,
066,841,938,297,643,804,737,046,370,594,909,894,970,128,896,240,094,176,601,
508,539,856,015,460,414,516,657,340,543,680,937,570,936,779,943,640,112,480,
022,805,701,062,160,364,217,993,021,000,797,762,795,948,146,410,393,198,493,
924,856,574,009,354,624,809,191,794,307,499,131,443,646,493,682,583,224,445,
422,876,117,280,456,833,661,286,636,092,969,822,274,655,372,177,746,787,562,
226,409,485,800,422,237,009,792,297,103,578,299,659,976,550,573,630,914,913,
253,949,562,335,434,033,984,082,950,110,006,884,449,926,730,857,344,682,414,
737,090,835,314,285,229,096,798,015,143,408,765,142,909,312,309,945,585,653,
834,289,651,323,197,266,860,486,083,220,640,554,790,232,547,387,270,073,832,
785,448,180,081,923,494,252,286,916,983,687,036,984,795,185,596,930,011,343,
831,774,501,597,029,587,075,076,119,555,982,291,124,589,991,328,903,240,395,
720,890,578,485,042,888,743,819,999,138,557,988,094,849,183,877,398,761,493,
200,792,592,684,303,555,718,083,213,723,322,830,014,178,226,467,127,525,498,
457,434,360,753,415,556,538,248,165,661,650,985,236,352,347,128,527,587,646,
858,221,138,382,483,080,203,909,697,226,037,341,741,322,849,514,483,326,907,
093,804,917,879,995,231,112,978,862,720,301,679,857,561,228,568,923,316,952,
955,423,442,596,398,501,740,980,251,194,283,677,309,629,095,259,339,857,060,
889,057,796,985,240,972,179,899,797,039,106,398,267,125,963,806,044,680,577,
477,578,904,464,675,504,948,431,281,152,355,634,348,903,601,551,690,430,641,
399,419,217,488,209,656,202,481,010,566,776,611,743,047,926,643,245,135,019,
173,441,783,266,840,521,506,599,083,470,322,006,715,482,900,192,226,269,304,
595,794,520,287,426,063,586,666,569,812,459,170,755,529,075,223,926,714,046,
343,309,221,949,310,307,658,515,072,436,528,281,446,391,011,302,607,004,041,
889,419,772,164,708,240,558,682,688,438,330,494,273,854,672,234,603,514,683,
111,357,293,158,323,126,293,977,703,132,163,721,985,813,034,722,269,831,876,
648,877,353,230,169,596,475,140,591,872,275,422,171,411,234,565,968,438,828,
182,663,756,417,134,541,226,843,064,414,751,611,841,802,318,646,562,971,203,
023,507,561,478,973,772,735,500,892,815,653,378,195,340,752,042,372,394,991,
988,735,671,945,537,645,844,856,557,692,504,550,381,240,255,517,359,170,898,
989,659,973,022,133,282,632,826,203,891,626,828,291,246,797,267,580,093,962,
690,538,327,702,756,200,703,388,776,053,343,855,354,662,330,079,779,935,184,
041,628,283,481,825,854,731,833,564,001,111,139,311,816,960,885,768,248,771,
024,588,590,328,536,712,894,843,139,218,314,880,991,296,025,802,696,237,102,
072,073,003,388,908,116,465,264,765,901,864,976,521,618,853,200,442,701,680,
710,538,244,488,380,936,333,464,628,142,808,274,855,704,045,364,364,310,587,
853,940,757,676,725,927,093,681,461,957,109,382,934,030,606,044,391,116,298,
966,790,674,347,361,656,794,581,497,921,768,419,625,549,776,471,908,032,217,
084,212,019,336,326,722,897,287,533,497,173,639,867,244,979,724,502,925,588,
592,549,363,670,356,289,142,711,164,789,562,172,714,975,703,709,457,654,961,
949,545,506,859,968,541,971,043,295,915,320,789,330,382,900,909,056,318,984,
531,933,437,952,322,932,692,503,077,951,116,029,784,968,962,812,601,789,004,
940,892,623,783,923,961,981,511,392,711,954,533,799,867,572,196,245,841,039,
822,177,295,867,790,883,840,413,158,461,232,073,056,662,317,548,099,946,220,
804,198,863,476,050,125,411,071,949,746,318,216,946,678,465,968,342,499,271,
158,305,655,479,077,218,429,451,292,689,645,938,698,220,338,519,037,399,293,
923,492,541,467,583,223,092,319,233,812,773,902,577,346,092,062,264,481,275,
377,419,759,147,874,581,851,144,325,399,673,453,524,244,594,022,125,337,683,
479,506,303,356,619,443,618,514,763,756,792,811,415,185,828,294,973,002,336,
780,134,643,132,139,256,353,908,429,702,320,738,995,438,928,375,377,356,692,
373,051,907,570,676,608,597,216,374,656,973,654,213,145,925,243,040,027,476,
760,892,925,911,746,226,053,212,747,095,234,729,011,085,386,321,754,916,349,
189,802,271,777,566,429,423,157,188,371,724,313,166,283,120,286,166,728,290,
973,862,984,440,087,192,840,963,606,880,109,418,539,295,586,365,469,885,053,
688,320,451,230,217,163,265,540,217,288,581,772,457,693,768,600,217,881,848,
693,194,254,421,021,619,201,730,652,263,263,267,281,213,466,993,988,179,902,
445,997,493,567,409,552,348,500,417,741,277,881,062,295,780,449,152,320,244,
071,104,118,279,664,912,956,928,734,777,922,483,561,231,546,930,015,264,769,
047,392,023,989,260,241,558,749,721,109,804,465,549,488,842,169,138,335,513,
913,177,179,844,374,045,209,409,145,841,839,832,383,189,920,979,821,735,122,
196,839,361,604,515,036,788,543,212,041,040,345,241,827,967,436,903,114,861,
554,494,766,278,100,060,292,563,618,639,235,735,230,898,108,872,581,260,180,
418,978,907,151,855,506,678,530,539,965,997,231,315,637,286,039,868,240,345,
451,066,188,630,446,887,937,690,780,858,377,324,030,084,787,581,573,034,162,
384,154,085,703,777,560,199,914,285,150,427,716,632,293,112,587,131,093,930,
519,241,435,808,820,002,137,997,158,591,320,173,286,580,580,291,103,443,582,
072,241,096,877,838,687,284,108,226,204,122,538,059,359,385,158,690,669,047,
222,300,640,316,931,118,489,707,328,692,257,289,350,015,121,861,477,869,705,
273,128,782,221,331,069,787,342,761,895,325,166,241,442,596,567,232,851,971,
893,368,505,870,006,184,517,949,030,893,452,108,631,370,039,242,138,455,075,
319,205,135,635,446,418,400,849,562,855,459,440,926,400,173,435,061,507,851,
332,303,316,257,349,882,973,020,618,603,699,574,794,601,306,906,232,844,492,
821,241,192,539,235,165,351,224,357,214,543,772,387,274,863,915,358,698,252,
631,332,443,160,589,386,173,312,449,740,052,166,371,029,462,587,772,154,587,
854,684,744,640,577,708,596,628,210,090,592,034,523,231,925,285,877,938,272,
347,067,235,350,781,298,839,965,839,039,964,614,341,158,592,559,218,977,939,
968,108,706,641,793,528,889,229,943,747,649,933,639,041,817,508,765,751,653,
260,385,420,616,246,928,895,571,939,008,308,504,995,638,388,588,567,714,032,
845,972,076,817,772,120,751,087,233,781,318,229,770,182,642,452,024,007,728,
082,536,291,464,822,755,805,044,704,806,811,948,747,117,203,623,747,417,660,
051,105,391,201,924,725,305,668,149,313,028,530,028,368,833,274,246,824,142,
581,790,057,648,855,630,669,343,597,964,466,658,671,018,858,803,114,206,440,
272,618,527,782,107,734,625,579,582,678,930,600,023,859,530,005,944,667,940,
254,537,734,648,914,278,354,751,185,205,118,268,109,489,906,042,300,771,988,
441,489,175,379,262,630,900,460,269,906,076,976,938,341,360,198,747,685,064,
708,051,917,172,421,167,251,063,124,645,484,327,031,338,456,873,365,094,350,
518,381,229,660,852,474,227,915,921,994,811,688,901,299,332,973,512,383,307,
391,228,629,002,698,912,319,014,614,055,325,856,902,692,217,374,268,674,614,
596,832,518,516,174,302,059,910,176,009,753,457,624,272,459,568,170,921,404,
965,806,278,433,594,513,446,290,544,473,397,438,090,985,034,435,721,380,247,
321,949,157,718,317,105,504,346,580,832,442,159,392,059,973,922,242,306,079,
384,895,897,834,449,398,844,352,457,055,225,615,880,140,796,698,418,616,303,
654,198,771,735,135,307,641,224,929,162,322,639,280,689,810,833,068,674,636,
054,795,448,291,473,509,761,990,976,799,573,990,475,161,328,511,157,662,808,
435,570,275,209,320,910,032,624,412,701,277,746,936,828,209,095,454,369,808,
330,131,136,973,073,152,661,455,873,129,620,173,930,283,248,849,516,836,828,
775,214,944,281,241,440,054,469,553,917,336,991,386,594,294,110,995,820,098,
990,141,645,860,632,061,463,663,210,753,938,657,721,514,908,162,561,965,140,
186,328,191,642,647,566,539,770,769,147,041,558,547,702,366,452,777,575,620,
415,463,439,159,944,103,572,388,057,040,420,168,520,772,404,987,315,698,235,
492,056,241,356,208,318,344,918,537,601,674,227,421,741,021,395,181,967,061,
751,508,957,291,389,805,072,794,817,081,482,744,827,320,823,700,749,481,077,
541,853,723,659,633,357,393,188,082,166,505,494,692,089,205,229,957,537,235,
742,893,275,926,681,105,885,770,158,712,706,094,880,201,666,129,725,873,438,
690,415,679,595,696,132,406,264,918,415,353,603,173,606,372,579,424,810,933,
764,896,985,674,826,196,276,977,922,910,568,508,305,941,900,261,441,345,173,
385,331,076,596,891,731,447,907,449,480,451,072,612,683,089,317,627,339,581,
575,562,684,896,202,431,278,389,792,293,828,008,480,082,958,268,557,938,273,
769,700,004,315,164,205,973,374,318,268,746,312,720,898,715,849,487,172,192,
062,482,930,089,890,149,319,084,302,029,693,262,645,104,354,568,054,381,466,
276,400,744,573,276,249,158,882,289,749,492,097,776,264,224,966,913,493,665,
830,954,184,222,990,713,203,654,262,430,334,953,614,256,018,992,390,322,909,
033,155,619,476,541,005,652,998,898,016,165,855,114,868,146,581,407,821,501,
363,684,430,125,098,297,901,044,438,577,221,259,742,968,623,669,364,027,567,
938,927,961,303,238,196,097,619,294,726,957,899,846,485,029,802,708,404,698,
567,451,535,535,402,702,163,781,842,086,402,331,335,576,630,990,631,499,068,
909,941,847,953,665,935,979,140,706,877,921,889,463,766,038,122,993,229,198,
673,992,233,432,679,993,497,255,328,436,753,236,664,455,154,532,446,316,534,
313,148,491,002,230,042,593,073,463,286,515,167,663,115,600,823,011,375,857,
332,529,726,357,988,896,092,808,882,179,586,035,726,888,845,958,206,143,326,
397,032,263,504,174,963,995,180,296,940,562,891,222,948,427,914,094,265,665,
387,997,828,855,124,528,372,615,453,591,198,825,936,150,850,863,977,931,002,
767,443,417,993,889,274,725,189,849,658,134,401,727,668,887,910,223,799,676,
165,285,231,846,897,614,541,526,724,590,620,907,027,258,845,541,109,358,064,
806,769,395,974,673,631,575,991,676,657,279,399,216,882,430,663,999,844,573,
341,389,681,547,403,003,095,924,773,400,208,208,253,498,026,096,716,073,288,
571,185,987,885,209,530,312,354,060,155,244,926,271,855,008,870,780,815,579,
746,395,066,138,315,448,960,919,520,376,361,464,689,576,978,611,519,331,463,
184,823,110,490,843,578,440,306,698,796,258,282,654,541,882,544,662,643,410,
659,795,841,349,802,163,417,816,400,145,738,975,757,413,170,313,933,334,061,
875,255,754,810,209,713,719,262,015,507,930,554,731,000,583,657,549,253,995,
783,761,127,471,815,368,141,648,874,939,936,169,866,648,049,019,254,754,568,
652,131,774,829,053,564,085,207,413,271,566,330,199,785,703,561,849,994,317,
236,665,120,260,522,333,348,547,717,350,594,729,927,283,638,337,638,844,965,
037,086,049,537,647,710,998,966,840,645,303,027,767,108,915,064,885,335,946,
605,101,967,518,993,114,228,564,943,881,236,450,085,382,242,537,000,343,813,
591,865,746,992,566,636,895,064,193,306,832,162,314,435,026,843,394,543,876,
918,148,070,245,969,128,819,074,681,311,728,875,648,462,375,128,665,955,768,
486,947,455,774,365,864,117,568,813,698,769,104,172,462,872,060,462,870,654,
661,874,677,015,440,553,639,163,134,919,329,392,955,691,220,266,246,697,247,
612,158,050,945,607,338,549,725,864,111,950,525,863,219,077,644,674,264,589,
329,225,061,050,737,484,376,834,147,116,054,146,827,525,604,432,161,469,373,
963,852,698,163,303,470,866,018,936,807,033,791,197,948,871,860,917,598,858,
997,316,232,972,864,895,513,286,419,472,258,740,813,044,842,133,588,043,423,
952,489,446,378,409,078,964,975,321,662,406,091,207,530,999,056,759,149,864,
866,460,177,399,524,460,956,680,129,597,024,666,772,936,831,696,461,013,695,
395,984,745,162,757,953,160,951,026,882,586,930,474,535,179,415,751,301,569,
329,614,004,978,314,410,128,103,544,344,883,523,086,539,805,418,690,296,590,
416,299,180,829,381,754,580,206,578,868,856,792,564,270,608,168,923,475,719,
487,578,446,462,926,101,590,931,465,187,880,782,249,346,793,171,033,997,735,
042,662,521,184,250,164,129,325,857,365,277,578,454,639,828,172,356,483,385,
237,657,244,853,752,802,445,551,582,185,408,476,480,682,787,278,105,845,347,
039,066,462,792,901,497,122,436,232,763,044,417,231,205,489,988,205,204,454,
032,589,569,869,269,593,644,333,405,956,808,930,123,696,648,670,648,430,826,
270,607,632,014,009,471,329,668,539,205,296,960,028,776,928,951,071,544,163,
468,927,664,309,635,065,481,243,014,125,598,452,626,395,142,039,908,342,251,
454,470,354,579,627,913,200,049,568,021,137,201,352,530,460,717,102,537,485,
365,613,348,172,540,621,377,001,096,887,903,870,248,110,925,768,733,091,621,
533,625,384,219,692,538,436,595,021,751,886,861,328,168,011,007,729,566,917,
548,850,772,317,732,078,907,811,916,272,404,691,073,263,827,931,762,078,948,
795,374,955,805,476,930,772,877,609,495,403,648,831,657,806,708,714,186,978,
202,525,294,585,872,079,713,765,468,967,835,684,816,542,115,694,568,974,610,
439,841,213,718,010,945,536,374,900,959,528,211,636,492,677,634,985,411,910,
713,182,862,338,499,830,070,927,763,799,122,067,778,853,854,725,051,720,244,
481,739,829,944,516,928,654,297,566,644,265,701,304,192,834,840,410,703,303,
156,412,353,988,733,051,551,326,911,085,303,289,940,917,719,876,425,680,978,
774,584,917,487,461,943,738,316,154,240,835,210,291,072,281,177,469,199,435,
716,349,980,340,219,519,853,178,573,508,623,105,597,767,649,037,697,581,566,
690,949,890,887,585,036,588,381,303,119,808,792,417,460,188,347,652,549,195,
433,279,366,975,054,485,172,468,556,737,164,796,259,702,420,385,915,033,900,
213,637,441,995,705,682,062,664,759,455,054,454,274,860,115,647,969,848,271,
262,407,892,847,409,581,039,875,630,569,450,069,136,140,145,218,197,495,228,
898,499,920,054,608,640,910,787,271,865,880,323,993,996,007,398,977,069,452,
293,501,188,145,334,503,222,572,059,182,843,481,998,194,168,617,509,496,922,
420,750,453,737,248,800,941,773,014,013,606,368,350,927,944,274,996,242,509,
675,202,033,370,979,919,083,862,673,537,471,924,394,857,173,299,863,523,445,
416,420,506,537,030,921,682,255,174,201,608,426,802,309,951,972,353,543,508,
283,505,273,727,802,972,102,677,863,569,524,698,300,959,648,003,752,093,367,
621,922,809,432,549,777,009,752,251,604,510,254,747,472,280,365,669,507,466,
859,424,495,116,305,550,075,560,131,721,546,357,416,834,059,383,864,367,263,
573,416,639,969,017,963,833,550,995,362,215,894,152,040,106,568,144,084,632,
015,232,164,451,601,455,236,930,919,201,236,842,204,412,406,321,207,055,004,
243,650,519,771,049,566,064,023,110,300,564,039,943,980,681,608,333,181,112,
674,394,111,948,805,063,728,714,361,648,901,789,046,252,703,423,342,263,022,
801,035,282,029,892,778,518,052,959,725,138,134,149,142,568,280,798,130,938,
471,916,058,802,636,717,303,408,499,592,143,125,571,901,277,540,231,428,936,
623,417,883,571,313,353,525,945,706,291,254,798,263,087,443,519,441,183,581,
130,064,619,499,094,632,623,275,243,296,440,226,479,238,896,409,152,295,690,
277,007,598,434,451,972,570,909,719,327,835,730,889,321,972,838,303,870,157,
210,299,775,163,138,420,217,077,679,929,084,007,990,903,793,778,607,548,567,
748,622,971,445,553,196,902,759,613,186,450,916,070,426,016,439,237,211,108,
200,257,377,994,359,537,756,748,089,610,017,814,981,098,287,562,258,046,032,
166,791,039,027,331,332,740,067,748,410,927,799,762,845,863,446,330,236,515,
225,791,101,600,332,955,519,504,193,569,427,161,416,142,472,939,040,442,110,
043,854,300,861,932,471,192,924,000,135,420,285,334,748,771,087,293,830,192,
055,668,809,634,789,133,642,339,162,580,037,276,016,300,606,047,160,835,056,
229,245,058,145,353,764,345,174,607,586,535,846,242,214,767,071,134,597,044,
074,555,969,530,689,922,118,032,587,393,157,636,473,552,709,732,044,097,617,
061,592,252,796,609,878,055,658,972,323,718,876,850,276,109,669,751,397,512,
173,530,735,397,527,347,066,247,416,928,434,122,960,042,617,828,829,710,161,
834,189,106,869,745,897,859,488,034,947,865,046,553,350,548,955,559,175,902,
189,051,586,630,868,411,386,768,014,771,848,499,929,460,066,842,684,995,294,
352,954,934,301,517,488,830,766,485,296,139,215,731,466,761,446,293,337,791,
712,639,870,431,010,796,904,190,669,654,871,386,583,806,058,013,119,843,443,
146,352,149,499,405,307,066,085,949,550,163,422,622,462,980,570,605,028,262,
273,173,819,194,308,853,853,381,358,290,506,222,648,575,833,329,111,985,909,
784,339,745,808,656,392,656,493,006,990,281,847,397,528,515,355,119,606,002,
564,376,657,554,951,042,724,188,308,603,729,905,516,873,217,314,105,485,520,
109,835,993,221,073,687,152,301,783,205,196,859,051,480,336,136,953,960,522,
609,793,347,901,010,551,841,000,617,863,123,559,707,549,035,816,912,774,655,
804,143,408,999,312,098,674,332,460,573,529,927,194,717,978,834,350,564,237,
147,604,921,730,145,195,815,643,308,882,807,387,758,826,441,061,142,765,939,
366,563,411,350,605,625,784,491,159,750,115,778,042,629,744,659,518,088,973,
519,200,713,284,616,260,399,997,599,855,265,872,151,688,900,958,882,972,098,
858,789,438,247,483,910,442,932,844,925,625,749,068,928,390,343,486,857,929,
427,665,497,999,609,199,452,141,520,963,158,670,953,285,303,641,496,572,471,
584,439,952,796,183,331,923,734,747,870,168,575,571,709,267,562,444,393,230,
690,508,332,468,007,056,400,175,821,011,127,105,885,682,338,084,448,966,314,
686,607,904,452,990,405,204,832,437,779,440,343,605,720,438,955,870,108,697,
369,631,642,306,816,237,196,730,697,508,018,733,909,286,074,593,025,633,776,
192,518,048,267,920,836,997,326,711,598,009,345,644,185,649,945,266,226,838,
724,077,206,622,846,197,420,850,245,849,841,219,845,434,086,892,541,468,977,
070,553,168,255,232,445,728,542,184,141,536,453,969,647,434,749,237,123,321,
313,206,791,941,378,095,504,719,847,258,803,520,797,158,774,979,453,697,763,
125,470,044,673,697,530,881,119,479,164,940,349,197,814,821,995,365,574,638,
740,849,329,317,115,085,720,483,812,773,111,096,525,390,929,929,530,353,693,
544,270,404,334,832,188,111,512,879,598,024,528,111,660,397,819,630,966,091,
849,311,611,059,642,758,450,244,985,862,177,477,384,555,727,352,483,782,679,
047,674,307,118,933,213,087,374,506,670,614,940,305,110,837,679,408,825,340,
385,831,572,777,494,459,892,894,408,297,064,627,795,579,074,281,287,795,567,
403,430,005,632,908,753,852,286,103,109,470,596,045,795,983,417,725,469,804,
509,675,148,387,604,546,970,807,499,388,903,387,223,724,298,273,423,681,343,
209,336,124,838,675,544,093,413,160,344,201,625,494,650,143,366,118,468,013,
159,195,619,918,942,884,732,497,365,979,608,414,212,743,129,250,734,306,882,
945,677,168,190,364,462,259,317,700,675,848,086,393,472,395,598,147,358,194,
283,918,057,679,376,697,663,931,404,246,892,717,163,814,056,702,515,204,741,
135,467,359,860,015,224,975,180,235,092,503,968,312,602,997,482,865,712,842,
173,455,381,125,909,160,450,144,926,281,115,190,610,219,910,900,068,447,518,
292,306,530,539,627,783,379,673,692,068,856,390,692,873,051,528,552,089,472,
044,355,508,980,074,901,719,969,217,179,375,841,639,938,522,787,684,950,776,
520,489,769,443,768,061,432,086,331,190,379,223,898,102,961,862,295,297,180,
317,296,391,626,283,954,898,290,927,100,579,133,089,402,984,120,087,412,438,
050,376,424,641,372,511,832,516,526,048,267,304,456,872,313,154,494,686,677,
712,268,855,989,615,216,696,741,520,604,392,825,158,235,051,767,107,103,431,
969,092,546,413,950,288,795,932,029,033,647,388,501,420,896,088,348,393,177,
056,987,557,116,065,331,948,979,989,098,683,842,329,832,011,061,140,238,715,
782,978,228,920,331,747,934,114,864,473,388,669,604,478,168,592,908,836,394,
230,912,235,977,180,783,591,332,292,161,129,478,451,484,375,626,189,773,262,
430,170,049,440,468,847,955,266,844,250,032,514,510,846,809,403,829,132,102,
102,403,574,323,176,459,179,853,088,903,180,323,194,861,439,837,505,191,875,
417,765,034,488,285,300,676,962,055,490,881,706,023,778,673,742,706,243,098,
296,390,343,949,878,046,866,944,210,751,691,296,880,450,543,420,225,671,705,
476,204,493,785,014,964,218,166,494,118,980,792,168,054,419,915,267,249,732,
713,783,644,037,095,808,469,037,140,967,429,119,243,753,199,593,157,286,590,
083,064,014,778,236,153,666,934,870,437,582,906,302,662,545,328,976,397,555,
652,805,387,423,066,592,774,365,505,551,661,697,207,160,255,465,050,456,985,
004,142,691,095,339,239,203,874,551,420,567,764,364,166,199,360,347,496,918,
711,962,432,379,660,381,530,647,747,122,520,160,662,449,759,842,254,977,394,
882,568,590,942,402,420,519,994,877,179,359,525,106,095,041,710,373,841,440,
546,204,762,548,413,358,649,992,999,111,199,104,010,152,843,237,019,299,159,
708,877,901,515,417,549,827,377,400,430,320,388,941,670,905,541,058,047,785,
333,006,568,275,909,212,877,069,958,499,849,840,609,236,597,038,371,004,256,
239,881,537,596,329,622,500,991,089,484,419,097,139,667,574,009,950,864,541,
022,477,759,865,685,821,670,886,823,970,564,346,898,587,818,637,759,410,293,
125,286,465,527,455,380,245,180,964,080,295,456,920,532,526,514,551,987,467,
784,260,759,792,116,571,553,518,456,370,352,173,619,256,303,534,638,661,534,
756,667,730,560,101,312,351,591,696,776,428,826,259,971,859,001,650,573,228,
239,054,322,663,981,806,195,361,668,600,114,784,756,971,404,674,024,396,858,
456,262,590,191,227,867,833,804,137,887,928,934,478,579,368,120,218,908,620,
708,094,951,069,073,831,054,285,004,762,424,414,065,193,441,184,838,811,573,
711,129,352,272,842,476,718,603,090,438,643,139,581,147,088,631,677,911,820,
540,922,576,487,523,910,525,990,092,654,391,341,922,740,261,016,243,618,698,
623,940,002,390,087,246,629,331,514,570,634,305,986,170,301,220,364,010,131,
309,709,261,125,243,796,565,861,915,881,052,933,671,310,566,281,648,933,011,
886,648,621,161,811,854,319,932,512,889,476,418,659,141,827,288,725,900,110,
116,484,133,346,715,612,240,662,612,303,664,712,318,910,294,524,337,068,865,
188,082,590,500,750,324,906,043,624,161,592,613,501,751,880,863,169,517,924,
023,388,275,241,813,727,423,298,164,333,516,651,482,369,776,818,633,744,007,
558,275,895,501,204,938,467,155,667,167,371,768,740,163,233,008,872,860,843,
282,775,860,830,690,745,805,359,825,230,682,215,963,981,466,015,490,222,357,
288,912,718,236,437,209,059,079,633,235,678,545,597,714,787,416,140,910,619,
151,961,357,302,587,587,659,358,149,053,500,571,548,128,786,306,221,915,807,
760,233,619,005,049,927,756,718,967,988,420,977,663,803,574,791,690,502,923,
500,850,167,690,987,401,569,490,101,484,375,908,044,033,774,501,289,956,280,
233,498,872,678,632,403,880,192,591,180,954,471,555,833,657,457,784,855,626,
815,048,234,984,323,499,328,816,053,456,525,970,534,095,637,837,182,007,140,
993,874,084,995,321,029,957,215,927,213,385,225,003,224,472,071,694,310,324,
856,530,501,732,611,794,071,246,891,707,311,501,339,417,741,004,471,235,821,
075,323,025,453,688,510,950,286,770,042,892,345,234,009,957,674,329,083,216,
860,621,077,494,123,808,102,595,677,998,699,852,016,482,668,322,460,734,386,
598,962,181,279,426,067,930,937,752,974,581,450,986,777,677,963,361,108,677,
983,516,928,040,803,842,698,888,361,740,539,219,115,983,907,717,427,069,664,
629,265,402,524,990,623,330,411,010,063,763,867,016,925,719,079,998,230,644,
066,322,214,961,326,282,176,535,402,208,246,888,467,886,439,903,030,742,245,
757,157,043,959,552,085,801,183,350,923,904,821,697,200,861,687,340,709,509,
510,030,748,496,966,490,274,402,866,441,208,805,697,202,620,085,677,573,182,
098,582,622,008,908,392,767,331,306,682,049,470,818,576,235,045,961,771,167,
052,982,630,011,153,166,558,694,252,565,154,675,161,392,130,413,854,918,942,
621,197,854,061,152,835,667,207,799,745,388,480,768,219,731,956,649,247,831,
646,397,610,032,163,916,256,280,761,738,829,866,009,439,784,602,100,619,764,
131,696,213,630,625,260,780,172,809,013,250,849,672,253,190,972,154,154,909,
945,354,633,460,446,442,456,959,402,373,142,140,050,799,498,269,095,680,973,
328,492,434,677,442,101,180,322,965,038,773,131,865,235,799,204,929,427,114,
641,004,601,592,106,014,081,543,281,292,705,695,866,991,760,995,847,702,812,
489,771,919,281,364,253,660,676,359,351,951,477,541,171,455,608,512,801,793,
051,467,587,890,584,072,619,723,606,504,719,483,259,984,879,808,072,667,779,
613,281,500,307,773,844,689,675,483,583,914,820,974,593,696,209,693,296,412,
907,341,131,314,926,179,730,120,525,692,346,370,447,827,800,453,484,099,517,
357,409,578,654,623,528,751,769,911,958,936,451,532,561,307,162,434,082,620,
453,596,400,210,616,623,557,110,963,351,211,131,562,881,881,258,905,190,422,
875,047,679,378,841,800,245,924,816,716,130,738,066,434,112,320,030,374,578,
620,943,965,615,938,012,176,429,976,162,535,489,493,941,282,422,387,849,161,
521,836,514,523,556,254,276,942,977,715,526,420,123,926,758,483,878,226,398,
153,171,581,123,324,579,482,457,407,556,040,667,281,343,905,770,017,231,113,
270,151,165,352,859,326,470,850,672,659,354,662,899,079,363,374,634,819,632,
030,569,331,580,325,740,038,439,766,239,147,847,153,122,762,521,637,252,190,
012,169,060,469,232,485,342,658,095,292,513,823,439,578,466,170,403,165,886,
925,051,917,195,341,231,449,930,228,037,813,495,399,739,450,241,365,448,611,
594,968,545,367,236,342,647,474,800,829,913,429,974,107,000,474,748,413,806,
371,454,095,454,182,628,581,259,436,366,466,305,159,629,154,311,219,647,076,
500,724,010,166,586,407,017,622,139,481,597,455,604,368,691,896,503,349,467,
804,627,402,569,148,547,473,068,332,830,438,407,484,863,233,342,722,168,441,
473,913,392,974,792,929,213,936,415,171,325,660,004,499,347,911,790,101,977,
545,268,488,087,079,697,397,803,834,732,134,931,370,337,386,245,464,364,910,
190,677,268,261,027,291,953,632,636,716,362,886,271,795,338,315,429,398,549,
794,335,061,641,733,631,214,358,820,525,460,552,375,506,812,529,177,896,356,
937,797,564,614,730,833,511,037,703,136,195,492,723,843,059,736,766,956,180,
625,717,067,419,973,752,739,706,176,094,363,925,316,099,512,064,331,783,956,
130,804,510,958,274,446,768,146,384,348,810,638,269,256,423,415,246,501,492,
871,650,931,896,101,960,767,876,939,736,594,904,872,142,196,961,771,285,236,
446,391,762,779,962,964,147,390,433,256,875,762,277,746,173,864,455,551,426,
837,558,428,511,064,888,584,550,394,000,141,972,317,983,292,956,167,920,414,
003,205,390,354,263,377,647,710,940,713,673,667,704,906,915,431,576,703,274,
865,734,435,532,025,260,823,290,207,425,597,323,896,173,136,344,675,089,513,
522,911,495,514,107,830,707,779,128,172,028,213,646,483,326,434,353,113,868,
247,826,634,842,610,477,663,323,624,043,819,359,978,382,097,728,191,241,191,
266,434,254,054,045,328,693,364,828,922,618,757,491,383,048,726,942,083,622,
119,905,399,518,977,288,467,263,102,794,528,305,362,984,734,445,498,429,667,
918,589,272,234,275,005,277,384,473,582,939,998,122,752,181,165,206,449,062,
861,187,022,217,441,859,545,224,704,748,422,702,107,567,503,632,625,485,863,
294,604,665,559,902,490,885,577,206,352,266,499,938,035,529,695,810,830,273,
313,264,171,019,990,931,952,934,057,924,137,358,792,315,821,430,108,325,462,
007,731,777,321,634,929,893,309,747,396,518,071,510,410,944,546,474,699,446,
935,002,296,080,878,244,615,354,074,389,699,373,914,168,928,693,180,226,883,
482,120,394,104,241,643,376,032,046,412,469,972,089,714,048,664,063,610,133,
280,261,357,818,407,611,069,218,432,929,798,869,897,022,322,452,928,142,473,
157,981,036,901,488,972,504,918,142,313,360,681,403,255,593,474,195,941,856,
606,471,445,313,973,456,511,446,514,279,600,273,034,512,213,355,618,364,894,
216,824,342,850,111,015,538,803,544,123,937,030,807,168,563,685,913,342,932,
712,863,530,670,699,220,630,817,621,775,981,434,078,478,628,686,454,814,087,
680,657,569,675,944,211,159,812,684,615,629,162,310,575,631,477,589,113,837,
930,122,236,135,115,119,334,163,444,783,895,521,615,664,742,423,193,844,044,
836,308,954,213,308,987,000,822,021,415,100,261,812,528,490,490,454,674,946,
536,551,238,642,036,995,382,091,395,340,363,721,424,091,549,298,057,664,009,
725,680,687,256,095,268,669,399,278,446,827,003,474,407,583,933,598,812,514,
842,478,639,621,665,107,157,072,250,036,322,215,418,223,411,512,796,528,216,
944,218,680,407,371,807,566,465,921,105,062,847,328,729,564,795,140,939,937,
918,687,227,137,373,710,323,995,810,862,938,346,674,126,741,251,650,065,715,
687,271,439,449,911,114,735,933,098,274,219,040,379,214,017,188,382,899,336,
440,777,587,706,628,751,632,010,942,516,217,434,198,461,930,518,199,935,515,
708,139,727,367,310,018,686,808,620,245,096,474,144,229,005,340,640,177,991,
420,337,130,490,400,504,407,383,399,516,221,751,702,524,763,477,635,240,973,
287,049,666,450,209,088,390,556,260,251,143,756,757,740,682,724,306,452,709,
926,177,358,007,078,347,907,652,112,425,501,046,964,958,848,740,140,949,104,
235,352,669,323,352,406,149,409,955,904,412,954,304,903,135,724,931,021,189,
880,916,217,165,555,107,009,703,620,462,368,419,011,078,405,149,883,109,375,
337,434,514,531,924,206,616,071,813,651,871,148,441,302,409,231,423,182,906,
697,105,427,102,506,571,823,000,522,246,683,013,384,218,178,337,373,932,876,
696,688,474,212,777,648,550,598,903,580,271,235,722,515,945,656,004,940,416,
751,734,944,711,008,475,453,890,943,105,712,062,117,986,898,152,452,538,878,
857,700,596,969,663,313,752,048,105,255,525,638,166,953,208,472,875,865,633,
926,499,017,358,370,619,590,381,618,712,638,221,038,783,222,567,196,974,397,
344,325,028,965,657,977,896,510,951,627,932,999,461,211,875,265,492,162,984,
292,946,494,849,181,174,757,314,729,968,930,201,347,162,654,702,722,331,681,
571,548,918,623,036,529,353,593,893,496,877,957,603,365,588,321,330,652,169,
995,013,132,842,749,327,397,783,496,450,471,379,909,769,988,872,985,820,858,
751,670,166,672,202,081,532,168,673,674,204,340,663,252,604,360,275,563,012,
882,468,010,495,768,887,215,989,089,420,918,150,982,193,405,793,282,396,984,
389,246,271,192,918,709,461,461,021,962,523,226,724,609,484,891,554,976,299,
612,909,582,655,834,051,106,046,681,620,741,820,563,373,239,073,546,840,186,
610,520,238,237,980,428,923,267,728,572,019,255,674,830,553,610,351,860,839,
926,906,005,337,449,115,860,664,820,789,923,704,936,773,169,649,091,247,312,
773,773,323,376,775,226,394,777,445,840,501,428,178,248,573,403,914,968,666,
159,231,275,881,327,499,573,581,594,171,222,260,854,103,248,043,255,987,577,
095,270,544,575,257,580,301,992,660,639,785,813,877,855,382,378,820,269,616,
577,964,938,488,348,301,813,173,017,163,109,400,077,564,113,044,557,141,107,
845,839,924,691,637,513,017,975,762,292,184,898,244,877,342,683,684,058,040,
899,000,382,239,908,496,895,166,330,340,196,261,432,407,143,309,305,774,340,
296,301,013,056,590,321,009,684,968,589,208,550,464,735,861,447,937,889,011,
052,513,129,360,821,048,681,764,066,587,710,197,569,176,800,661,295,036,029,
172,211,658,281,013,975,088,812,673,170,052,653,063,472,409,988,449,264,647,
614,645,754,010,392,286,459,730,309,496,604,065,484,234,235,408,320,908,507,
055,114,752,107,512,816,008,267,085,646,005,268,971,956,429,916,420,892,329,
964,674,433,923,666,644,151,444,607,914,823,599,483,769,923,580,717,945,997,
745,740,538,045,960,129,657,934,767,292,160,860,835,276,606,324,537,159,249,
367,219,824,816,748,009,726,687,614,421,958,126,923,015,558,952,056,364,127,
434,076,759,202,685,455,221,177,841,144,162,941,044,540,496,947,605,865,640,
698,442,887,865,627,444,560,325,975,297,226,216,294,562,228,679,487,047,673,
992,228,734,967,855,119,737,295,754,363,208,362,031,596,557,312,202,687,523,
207,334,287,984,816,674,468,486,023,535,616,809,370,830,865,738,892,572,301,
701,198,952,800,938,872,910,969,846,325,952,398,925,067,743,878,502,937,703,
989,995,134,411,511,812,967,358,967,136,610,978,271,244,754,428,395,726,637,
186,682,628,045,172,862,395,841,617,338,709,201,924,363,713,303,301,890,938,
563,411,021,401,135,045,385,156,953,329,717,607,483,379,025,988,861,224,723,
517,694,115,358,155,827,717,035,710,325,790,126,305,814,675,545,614,372,727,
422,679,723,872,563,309,000,658,057,127,293,374,073,833,099,901,848,431,638,
148,141,988,384,742,197,527,438,536,145,124,925,820,952,890,643,914,232,778,
521,405,554,637,520,152,896,327,083,822,593,945,832,276,710,615,687,044,245,
667,182,479,543,081,191,763,521,657,566,068,505,259,337,564,325,489,482,738,
635,406,224,407,608,670,195,103,801,795,158,674,778,407,079,571,218,443,228,
240,759,963,554,958,133,195,006,496,927,579,501,716,026,878,682,352,157,285,
992,726,888,267,091,810,839,679,289,230,004,382,070,940,831,929,562,117,418,
557,385,641,059,003,736,474,953,370,141,101,453,973,931,559,404,808,740,134,
772,473,293,716,945,334,807,908,857,766,069,224,738,568,091,104,447,039,462,
695,127,836,411,709,611,918,483,880,908,475,821,320,820,482,432,077,063,886,
973,742,736,133,689,026,529,806,032,459,821,096,931,676,627,691,178,516,855,
396,564,257,399,899,907,581,432,944,396,816,897,452,597,889,105,792,515,983,
894,853,796,997,861,737,062,099,965,193,468,149,488,999,488,423,943,797,446,
464,877,531,437,312,490,873,575,358,080,840,249,280,099,804,065,975,183,503,
030,978,527,118,925,477,689,801,878,538,452,382,856,905,697,793,262,190,382,
086,271,057,881,045,386,261,273,228,713,006,455,880,628,752,443,204,341,294,
248,667,281,664,684,937,540,125,816,977,797,979,225,872,450,287,375,377,838,
381,668,245,081,743,248,618,760,923,274,773,527,826,623,702,095,413,013,581,
742,048,237,416,814,178,320,004,020,020,786,498,691,083,232,464,739,787,513,
696,751,468,850,203,699,486,124,323,328,297,156,057,413,018,872,702,720,024,
700,865,661,598,203,418,114,265,706,087,778,675,520,589,898,631,262,459,688,
256,092,878,805,237,382,423,096,378,503,735,200,667,009,023,799,715,623,090,
449,026,006,355,847,017,133,956,476,017,518,346,159,987,004,213,648,946,139,
325,868,413,002,287,455,285,938,327,443,400,157,482,592,679,747,381,714,559,
874,351,161,755,886,270,470,407,548,934,329,879,635,976,234,555,099,356,334,
555,581,762,782,316,561,683,004,856,181,487,156,977,061,670,351,877,012,869,
337,393,496,967,900,538,748,029,905,510,971,051,683,153,549,101,376,350,298,
889,330,198,540,309,643,719,372,108,125,911,531,085,292,744,546,686,737,403,
923,084,711,994,304,940,691,205,389,005,764,292,451,304,801,570,197,196,321,
751,028,025,379,864,732,858,654,670,699,878,563,054,371,109,942,664,076,292,
296,261,660,336,372,174,904,421,130,764,560,819,515,160,763,737,805,373,866,
701,203,156,259,566,187,420,771,777,571,001,507,093,697,925,709,671,982,533,
332,792,470,986,969,242,963,190,539,931,353,076,993,178,661,378,293,844,221,
644,613,800,994,700,039,244,013,892,356,019,219,254,000,835,190,960,735,690,
383,585,599,283,940,290,853,485,680,411,249,504,408,246,740,738,732,003,243,
227,807,847,507,874,927,379,887,393,639,423,091,417,577,856,201,625,480,546,
641,746,219,814,474,840,428,473,061,484,923,800,344,195,953,412,618,623,888,
806,344,231,455,008,262,891,264,726,571,833,051,195,730,753,574,759,900,419,
893,936,715,621,771,656,920,910,671,376,842,071,243,097,000,803,356,320,124,
759,350,518,691,578,648,064,356,217,040,869,198,665,416,394,350,333,077,156,
029,963,882,636,965,418,360,642,733,289,724,890,354,292,473,990,832,665,506,
048,482,146,022,762,177,959,077,904,786,321,304,205,835,207,681,563,804,987,
996,656,484,215,908,665,490,381,591,169,241,076,040,360,075,317,593,213,561,
680,497,217,383,869,513,014,205,156,403,319,866,980,670,707,993,278,637,088,
246,762,005,554,135,788,085,566,039,617,567,477,354,375,764,693,848,854,280,
649,000,224,717,932,000,125,828,753,511,815,908,803,435,203,886,776,714,032,
928,965,753,763,816,905,948,280,251,247,371,213,491,141,783,818,495,059,105,
082,451,213,722,650,851,976,570,251,208,038,194,793,179,010,530,191,800,472,
526,379,685,719,965,616,348,843,161,669,706,479,886,038,026,016,580,601,278,
887,201,589,796,823,163,805,379,046,370,893,768,246,946,255,116,192,894,191,
798,856,000,166,795,790,136,298,317,842,162,778,179,673,002,981,594,846,688,
393,219,596,594,607,354,646,306,364,543,792,251,491,115,556,024,968,320,703,
944,854,057,092,540,545,641,597,220,005,593,917,614,211,619,800,688,782,775,
735,391,367,453,892,776,752,907,638,064,885,471,380,900,506,643,624,944,375,
038,371,707,716,830,006,953,231,302,958,469,218,104,657,186,606,943,378,539,
054,010,359,961,658,390,232,897,064,706,009,748,355,147,504,803,819,892,515,
509,473,103,071,095,869,010,487,102,643,936,694,295,065,062,321,480,409,424,
667,345,706,927,190,259,838,865,114,305,047,080,186,551,686,066,624,815,011,
161,545,522,536,624,082,231,294,015,513,776,080,713,028,111,602,808,236,651,
186,160,257,845,147,074,177,362,513,241,797,865,600,510,530,545,367,122,645,
800,304,653,376,482,962,275,468,811,514,160,639,580,961,923,616,213,658,566,
488,296,271,549,951,490,316,927,933,076,437,913,457,975,031,711,304,802,551,
773,840,424,925,909,627,515,263,924,958,843,331,751,178,006,959,381,201,029,
690,791,136,285,053,557,598,590,914,722,157,704,509,348,449,593,460,031,619,
633,393,785,752,385,641,363,204,675,940,132,949,163,472,605,727,763,911,647,
437,582,392,933,412,541,999,808,682,365,563,655,939,955,610,161,082,700,249,
510,700,495,207,760,491,106,099,798,743,490,120,907,501,721,409,683,775,330,
964,905,458,888,768,118,862,076,073,154,139,579,849,492,275,461,828,409,410,
135,142,445,164,032,839,279,182,975,015,881,061,125,356,711,268,571,172,291,
269,699,115,897,467,163,192,819,491,835,151,221,966,083,402,153,107,634,170,
478,061,225,644,483,484,997,437,994,167,503,610,594,057,805,944,743,008,968,
187,514,347,548,852,988,382,213,770,845,902,988,966,450,062,775,707,460,395,
067,503,453,745,692,447,857,541,695,507,481,337,637,947,509,961,673,424,695,
673,231,574,435,366,106,688,073,432,740,948,082,516,347,509,452,499,076,067,
684,261,909,640,087,963,928,528,013,654,989,508,216,458,716,516,889,842,375,
866,685,692,398,886,181,342,738,200,787,184,177,853,080,517,273,093,494,878,
679,882,326,927,575,417,643,019,870,764,597,217,058,010,072,052,922,710,748,
695,794,320,131,338,323,106,978,549,358,471,394,105,004,925,242,284,342,733,
403,936,535,147,967,149,131,920,673,776,655,398,899,938,104,188,858,978,994,
342,394,499,118,229,699,610,520,989,082,328,198,359,277,673,514,373,132,500,
911,127,015,777,199,321,309,837,022,149,562,244,289,001,959,913,961,259,506,
975,031,515,265,712,057,641,397,894,902,104,440,382,525,632,216,344,716,231,
990,483,554,745,494,159,674,590,740,996,928,766,867,565,786,468,004,309,251,
760,141,408,125,454,573,987,583,847,863,163,771,826,536,234,847,305,466,404,
528,010,661,296,060,490,058,400,773,945,842,273,672,863,117,372,843,914,808,
063,060,055,945,099,328,565,100,357,781,427,402,242,738,697,737,538,080,403,
943,445,271,092,153,456,487,854,631,192,152,771,787,108,190,797,908,167,102,
104,978,816,778,287,303,559,101,873,234,805,581,724,230,451,133,141,267,822,
723,276,591,704,682,668,196,223,398,452,765,691,140,878,528,899,401,614,927,
505,127,806,562,443,572,531,156,490,250,892,993,059,736,591,232,620,137,043,
564,997,227,128,006,200,414,594,481,206,542,855,248,061,846,502,607,395,563,
449,339,170,528,245,459,625,043,627,469,485,072,986,689,971,112,020,991,398,
631,991,051,468,220,833,986,932,480,384,177,812,939,962,536,412,265,702,212,
176,532,837,275,915,155,651,517,482,602,365,345,341,025,903,914,153,152,909,
087,927,526,353,125,250,803,039,839,017,242,257,880,679,860,437,313,669,653,
265,966,265,165,256,334,420,665,407,497,216,457,017,085,083,899,995,042,438,
858,749,227,019,220,951,445,677,132,846,919,542,798,611,731,198,916,784,956,
144,834,767,518,195,554,526,268,607,128,204,062,393,170,000,148,664,727,723,
725,279,376,613,643,866,890,531,142,667,187,406,591,630,845,731,783,735,708,
575,711,632,860,319,292,358,901,272,755,290,528,383,894,709,218,587,740,284,
423,877,791,665,485,180,511,168,410,225,177,160,392,858,534,890,657,276,603,
719,275,080,119,235,448,792,822,297,052,455,194,271,074,405,782,370,585,323,
316,753,362,364,089,061,499,217,358,046,929,401,540,686,474,300,901,527,190,
191,632,284,061,308,489,172,368,074,086,941,904,197,986,293,769,014,115,092,
154,477,784,403,568,228,203,053,766,547,632,398,580,730,521,272,777,600,970,
033,329,527,294,827,331,302,556,987,562,352,789,269,720,412,586,972,050,131,
366,900,271,153,169,250,455,712,951,936,618,325,543,184,445,278,543,423,088,
438,741,113,518,489,803,269,525,494,074,404,901,593,531,859,601,992,224,007,
750,163,247,016,588,360,330,488,972,150,129,069,240,317,247,701,061,945,989,
451,448,849,283,866,258,417,586,375,598,571,912,368,269,752,939,589,347,887,
475,038,779,731,230,766,126,100,115,532,322,624,804,176,209,096,088,879,284,
957,327,765,752,587,242,884,994,056,345,984,070,551,506,443,986,785,578,036,
385,499,913,279,502,917,255,762,379,924,767,725,282,082,215,068,865,725,348,
609,579,688,322,774,723,283,029,526,615,326,365,823,049,787,019,388,481,496,
345,705,251,181,744,656,694,120,883,167,307,021,278,578,513,438,972,080,246,
421,958,520,793,757,512,589,144,159,047,890,746,951,211,903,874,878,783,790,
218,575,944,381,268,927,801,866,034,887,712,257,515,181,405,299,477,830,354,
555,096,093,370,880,292,002,008,248,202,313,556,776,184,691,868,823,383,030,
724,999,118,144,131,815,055,441,041,930,214,627,106,492,864,022,738,284,116,
609,202,387,572,475,802,346,541,692,521,583,435,865,174,867,875,314,155,961,
838,691,961,285,820,768,217,969,978,617,999,146,930,388,804,653,464,800,567,
238,496,264,363,945,017,740,468,835,838,916,869,863,069,718,667,001,607,607,
923,538,142,125,475,079,101,222,687,032,551,881,040,727,473,609,352,966,475,
788,305,628,065,050,947,762,568,972,746,510,735,972,386,672,879,356,079,301,
760,602,218,912,162,517,736,283,231,147,711,666,871,473,209,964,194,801,351,
813,871,811,231,183,425,023,435,917,579,624,742,113,341,050,020,009,125,209,
605,483,543,393,103,525,096,621,432,275,394,034,872,375,360,814,343,847,106,
566,466,706,109,509,181,142,237,047,886,317,519,002,668,663,036,341,323,426,
395,460,184,887,441,408,649,647,679,663,653,758,850,017,294,769,196,815,064,
448,031,705,872,708,318,874,836,590,327,199,396,540,391,036,380,300,481,126,
220,325,544,551,626,888,835,432,167,693,895,735,545,094,618,666,016,787,559,
791,900,986,116,222,530,958,906,075,858,265,912,617,053,248,582,321,707,490,
547,221,568,283,920,044,810,794,059,054,748,018,360,557,762,990,315,987,884,
199,265,945,655,767,478,862,961,312,864,095,045,974,539,868,027,324,744,662,
517,942,836,541,927,010,665,388,619,907,628,962,864,893,628,900,679,143,296,
202,604,841,135,270,857,276,780,793,062,425,536,339,723,754,534,260,374,253,
365,869,927,263,600,318,592,993,449,769,490,086,144,450,792,273,945,457,471,
710,950,445,767,494,314,103,171,997,657,301,928,546,495,166,884,373,591,458,
295,365,770,552,406,245,491,818,019,072,130,755,169,408,650,701,907,251,240,
167,226,018,588,386,638,071,554,354,970,918,866,559,860,975,043,382,701,984,
383,669,858,720,089,690,447,206,242,851,789,932,357,479,365,134,463,945,751,
247,919,497,353,557,331,929,410,304,975,887,864,913,460,420,262,220,354,208,
750,648,157,797,826,380,187,151,536,156,100,099,036,813,950,772,609,113,952,
060,019,857,520,123,480,007,943,912,187,206,517,760,764,558,949,153,695,845,
023,772,671,871,368,921,697,739,002,277,054,254,941,011,134,103,189,460,093,
875,066,960,263,297,267,802,644,579,407,376,167,384,171,110,785,702,139,111,
688,038,282,777,224,034,529,372,200,384,248,672,476,072,010,305,072,169,221,
419,929,212,742,708,692,500,107,411,029,833,590,032,579,067,876,060,386,642,
151,653,464,048,959,362,497,088,239,380,770,761,218,275,986,219,033,295,415,
802,704,237,080,219,335,389,408,406,591,178,667,121,873,289,312,498,120,795,
348,806,137,302,014,292,541,861,003,918,001,418,204,610,417,076,429,208,133,
420,507,991,863,263,990,287,327,204,255,132,860,383,427,495,018,159,851,045,
656,725,146,878,692,128,299,940,008,424,510,415,527,627,254,165,459,460,765,
758,627,640,777,868,733,098,173,521,603,742,346,860,317,255,347,912,984,572,
013,663,405,624,804,411,682,429,558,198,716,637,525,821,312,984,575,277,438,
216,290,555,458,732,048,776,404,760,372,057,444,073,316,019,829,418,569,201,
435,578,481,550,321,983,387,790,017,441,450,538,190,592,409,574,997,306,969,
281,331,115,285,105,313,373,114,516,842,980,743,087,214,524,539,614,233,056,
878,415,998,205,104,381,599,210,573,182,287,490,386,858,792,533,878,257,870,
188,908,834,345,304,380,106,813,251,471,600,628,661,722,823,425,397,556,227,
382,455,687,097,574,693,567,843,350,453,072,013,139,303,479,565,061,468,917,
876,901,711,678,240,041,139,349,360,233,001,812,444,233,035,135,136,030,055,
467,467,049,806,154,560,908,505,493,924,443,033,289,094,504,358,282,412,724,
562,268,616,475,737,003,388,801,759,127,874,520,744,600,913,174,557,205,403,
490,092,736,141,538,650,271,185,765,631,510,923,147,159,673,382,118,842,540,
019,033,736,446,544,967,683,491,850,288,143,190,470,138,188,470,137,507,636,
581,742,387,798,672,081,982,187,775,697,209,769,668,229,763,625,138,937,829,
560,382,899,294,147,938,139,503,211,022,441,630,908,111,992,421,296,893,554,
880,984,588,410,167,434,169,348,200,294,802,318,307,856,432,366,710,934,441,
541,099,380,567,049,807,643,330,465,199,915,715,089,237,333,100,068,966,784,
473,549,881,581,180,106,947,978,352,383,987,973,876,619,100,542,859,400,697,
323,386,171,722,965,906,347,602,128,765,151,292,288,554,889,963,594,165,860,
077,693,618,483,963,939,810,603,426,146,826,478,714,704,599,988,384,550,440,
916,070,338,023,553,119,262,154,711,627,189,927,389,699,655,966,823,691,097,
805,101,135,491,363,314,066,034,961,416,995,940,118,446,088,395,490,509,631,
998,039,868,850,286,207,046,949,491,500,277,411,751,913,936,281,355,030,169,
492,587,928,203,312,364,246,216,839,048,215,725,846,913,625,990,846,953,568,
839,911,358,875,357,739,415,462,976,771,491,857,522,729,107,067,331,801,096,
191,652,483,191,622,299,915,218,463,394,784,767,203,743,961,670,085,354,044,
863,169,656,114,902,903,806,476,421,681,062,657,237,580,855,829,683,303,308,
038,380,594,536,931,634,692,239,740,701,777,513,930,846,298,967,131,862,229,
401,077,094,967,660,321,334,012,546,202,822,328,567,860,276,460,518,780,245,
422,985,216,749,255,596,099,782,750,449,944,789,273,365,556,387,467,262,842,
261,899,510,047,470,314,270,406,919,603,331,846,207,482,560,617,604,466,036,
542,788,133,305,811,132,231,680,635,283,894,142,577,770,846,612,520,725,341,
249,144,376,012,751,433,545,600,980,693,025,603,568,962,189,531,419,299,652,
408,092,936,719,787,008,250,077,286,168,813,659,952,980,294,486,448,197,128,
345,672,942,687,873,541,304,974,624,868,035,441,092,165,079,635,508,053,339,
633,578,274,584,474,285,687,403,604,630,246,570,756,622,343,554,230,817,869,
610,950,512,353,059,748,192,271,377,127,914,693,950,983,741,852,400,210,261,
261,197,604,514,897,291,853,694,207,010,156,075,854,894,858,233,035,676,347,
037,060,086,997,258,793,904,581,776,179,123,754,489,477,866,664,689,554,893,
427,394,109,169,703,016,022,169,022,793,486,078,860,979,041,758,837,076,105,
645,315,883,634,224,736,786,759,822,247,087,759,770,442,769,327,901,305,492,
660,204,057,158,572,374,179,366,126,159,656,923,856,136,480,853,200,606,828,
643,198,368,275,548,534,506,257,734,530,854,143,393,852,999,402,400,801,502,
114,973,895,187,350,845,611,512,102,738,992,340,531,292,911,094,922,813,246,
786,153,468,940,091,556,253,052,585,927,277,295,483,156,999,613,090,004,944,
076,856,212,815,606,842,156,104,329,942,151,605,390,125,255,460,682,166,135,
357,589,292,733,787,741,064,069,379,752,587,508,771,926,844,666,275,248,061,
573,271,928,250,596,881,667,117,372,283,646,914,271,077,771,534,214,475,093,
310,172,278,139,019,463,296,115,201,786,056,373,332,788,291,539,284,825,176,
312,971,452,917,428,603,561,257,534,026,560,981,931,063,408,554,300,055,557,
539,982,328,266,837,872,777,279,389,412,396,990,655,436,923,913,499,688,284,
794,081,081,395,783,780,404,945,351,653,525,124,321,241,294,672,916,507,692,
928,232,896,212,822,841,984,542,866,605,933,579,298,559,247,743,710,509,242,
228,945,207,018,825,498,239,807,935,034,291,743,954,875,584,310,317,712,237,
131,924,540,473,375,616,355,608,129,306,283,258,802,193,811,023,456,079,803,
612,746,482,850,171,329,548,499,525,230,932,660,515,309,903,160,214,177,456,
335,712,769,885,814,990,915,542,639,064,481,355,209,315,262,706,294,783,274,
715,484,350,353,037,337,797,142,349,732,383,804,476,619,283,574,350,113,519,
811,657,726,946,987,819,729,730,265,675,678,304,679,106,014,790,376,774,162,
742,479,991,249,881,778,739,202,138,122,581,340,270,641,961,381,542,261,516,
733,026,771,981,865,322,482,228,356,569,355,702,301,651,619,781,808,332,080,
299,239,711,496,598,083,084,383,187,694,631,930,949,091,846,401,860,698,826,
200,237,330,991,728,416,091,398,561,965,396,240,261,832,503,465,247,948,856,
649,928,110,490,309,175,597,570,584,582,961,919,576,743,261,982,393,910,500,
183,438,695,349,069,844,261,131,193,825,982,699,536,371,654,939,502,796,421,
921,523,083,578,071,329,241,859,306,073,134,824,094,655,242,796,217,253,858,
178,149,777,458,393,563,451,660,992,735,588,115,642,844,784,441,102,754,273,
829,103,141,628,367,666,620,088,103,790,338,699,332,938,742,541,058,316,534,
571,709,959,503,896,158,480,749,585,871,251,160,551,087,906,015,812,111,777,
294,844,479,109,978,420,359,940,529,679,640,030,321,206,019,794,402,693,965,
833,501,342,760,606,904,593,627,770,406,887,867,662,750,597,532,235,286,666,
694,656,338,894,650,339,144,738,221,813,997,701,549,913,721,154,750,330,294,
753,713,286,051,373,139,635,402,966,910,382,164,094,556,396,947,419,312,571,
635,142,466,365,134,959,829,737,480,490,211,080,516,936,609,880,373,271,496,
335,581,156,256,475,574,617,920,351,238,815,396,626,025,507,780,957,009,536,
477,690,894,813,955,393,268,740,019,683,108,924,052,383,535,870,519,897,065,
742,814,825,866,738,943,291,488,746,988,396,509,602,130,925,523,899,383,662,
052,313,337,492,596,229,315,476,920,451,373,743,506,145,114,911,048,195,033,
205,691,249,779,786,404,530,570,916,680,091,728,483,962,007,330,032,830,110,
549,447,751,248,866,282,588,980,369,137,708,563,803,176,320,443,776,374,319,
194,736,844,967,063,449,704,543,660,804,214,974,872,226,075,970,649,259,286,
174,224,538,358,149,358,355,980,215,204,704,229,711,634,595,316,383,905,316,
241,579,003,852,112,880,235,373,527,870,541,437,872,366,238,144,778,969,926,
423,361,462,214,127,152,499,144,240,061,648,972,231,105,554,420,388,265,879,
457,750,790,817,915,789,722,660,001,115,143,731,065,303,721,460,458,876,031,
052,638,800,114,642,360,566,184,433,153,603,563,142,361,693,262,314,775,584,
596,002,322,167,870,988,448,853,900,770,523,886,493,875,111,214,125,879,795,
946,364,595,277,051,504,919,819,311,879,012,167,606,676,441,848,949,611,186,
854,996,831,694,481,745,298,382,985,102,322,212,184,508,951,286,830,698,625,
077,838,694,698,262,502,938,473,257,241,431,488,975,928,661,202,262,526,472,
517,063,706,531,799,772,395,748,436,759,696,366,275,677,605,906,254,270,833,
417,993,221,016,402,389,872,544,051,801,393,972,954,829,888,498,971,115,523,
134,999,350,502,241,027,337,867,657,608,201,905,292,445,543,264,148,507,463,
603,543,424,644,918,124,353,726,043,436,290,125,779,017,671,616,677,115,747,
746,013,661,369,883,443,201,319,579,190,976,341,883,854,059,541,901,648,834,
275,921,652,135,436,073,994,158,890,290,376,286,724,779,857,055,237,932,135,
213,635,303,237,035,141,111,023,452,901,254,590,109,950,384,429,487,940,171,
835,364,272,159,049,639,058,508,346,871,942,442,295,642,983,744,897,933,653,
874,326,983,447,539,326,129,907,306,115,792,005,846,859,042,671,243,787,429,
246,848,277,786,802,455,303,254,917,960,048,770,840,568,174,941,158,462,146,
209,626,730,321,697,167,828,636,175,269,698,300,326,489,966,616,940,536,758,
128,630,256,787,139,139,372,924,499,975,827,089,912,011,807,791,522,848,788,
600,325,028,402,928,917,353,911,813,249,938,814,351,064,317,996,687,200,112,
352,898,503,121,613,274,559,588,738,100,551,606,600,756,338,260,773,907,059,
955,532,145,355,247,938,237,398,363,818,713,987,308,259,079,288,950,473,958,
939,574,140,655,216,665,704,392,741,236,494,970,175,340,204,200,942,149,349,
366,138,033,134,006,522,823,847,027,470,181,642,414,182,335,539,885,741,951,
135,210,214,996,118,142,618,438,878,603,884,649,334,986,407,036,222,227,128,
643,119,885,259,331,532,275,420,699,255,351,775,281,498,723,932,779,031,139,
037,605,563,613,339,546,603,005,134,101,383,228,433,637,254,798,955,993,672,
444,366,546,120,728,166,348,272,244,110,518,474,520,960,749,816,309,643,267,
689,398,976,792,402,082,032,502,541,070,191,297,846,834,770,902,344,526,448,
684,177,094,042,377,197,387,156,704,778,682,932,836,751,036,076,664,314,277,
594,646,025,820,026,791,305,153,448,646,295,402,723,062,183,491,753,652,491,
395,814,861,337,616,791,392,343,319,429,848,218,745,718,335,662,294,494,288,
146,838,718,497,439,860,541,216,411,209,473,333,974,221,202,074,579,371,350,
770,630,442,275,182,315,129,619,099,622,444,510,449,638,948,703,951,756,837,
611,313,211,088,177,248,555,385,237,702,793,385,168,699,312,303,794,077,218,
735,253,522,979,095,031,326,880,979,930,147,048,004,250,488,164,218,011,187,
195,192,793,044,075,769,359,511,467,599,170,324,071,249,927,010,643,533,507,
754,964,973,882,320,012,390,739,272,443,284,751,024,856,666,422,369,389,658,
088,053,738,623,511,702,120,091,817,038,287,104,682,347,683,431,225,878,282,
468,532,652,298,071,141,606,454,633,639,709,251,326,938,504,623,505,560,955,
577,524,042,457,222,454,224,365,590,582,966,735,644,083,324,999,204,225,857,
477,830,919,739,870,551,270,439,780,626,143,532,586,169,066,024,251,768,030,
055,881,868,148,170,104,481,499,755,989,100,736,104,520,117,854,984,596,725,
757,968,981,397,069,192,508,098,924,080,116,896,291,285,885,415,312,501,814,
306,165,729,994,618,789,693,257,625,789,006,681,506,840,620,472,163,092,251,
243,736,730,762,895,912,249,447,884,059,625,204,853,906,599,392,248,332,029,
788,288,821,354,390,303,784,152,609,876,216,826,429,275,815,741,095,387,045,
489,943,332,559,368,846,960,536,920,734,599,404,316,519,352,816,505,376,715,
231,364,012,242,066,396,323,247,541,265,537,732,298,876,318,937,916,563,356,
988,582,778,168,535,997,399,702,661,044,735,624,090,083,909,782,631,356,678,
340,313,744,325,608,919,348,881,236,302,425,211,337,435,619,388,433,660,636,
788,645,852,750,943,597,090,481,165,860,373,830,789,869,809,311,779,251,718,
186,536,873,516,738,874,861,268,924,910,401,282,932,997,046,027,927,176,191,
594,791,432,364,961,240,820,499,917,077,598,304,995,088,014,650,535,531,742,
174,053,531,952,631,330,596,029,051,660,964,469,627,151,827,882,712,311,916,
035,480,256,939,896,780,087,795,575,930,529,942,209,852,222,844,308,200,053,
603,738,016,441,111,777,077,033,079,730,286,688,694,898,059,866,633,188,842,
048,109,576,008,150,415,846,563,953,876,838,649,008,808,949,863,770,935,468,
646,763,026,241,468,043,806,371,834,841,023,018,190,227,432,035,775,342,833,
798,446,922,146,397,923,962,910,422,660,078,015,932,134,821,819,289,175,004,
870,704,649,773,020,733,552,579,043,038,154,489,244,222,789,721,023,173,835,
765,815,504,765,550,131,032,114,891,354,059,735,200,912,517,832,616,327,225,
428,310,268,431,563,375,364,009,880,196,191,288,447,907,591,508,835,324,419,
123,347,514,201,320,288,296,243,791,487,933,710,586,021,795,171,726,862,443,
422,566,091,858,571,672,516,752,140,560,105,720,335,766,572,825,262,933,944,
229,867,523,396,801,141,628,024,717,275,394,432,332,880,623,431,448,095,953,
611,717,203,055,962,361,557,613,055,666,866,127,434,252,352,768,339,356,615,
702,929,220,014,636,900,888,470,756,599,433,983,621,609,528,417,763,580,059,
876,780,312,354,550,432,675,777,578,226,600,384,080,573,808,265,675,622,598,
764,764,831,068,079,877,642,766,991,810,411,312,284,188,766,703,752,786,790,
231,754,914,863,043,175,008,316,000,358,402,835,914,856,929,950,097,174,504,
614,492,578,936,005,877,268,359,654,962,841,033,371,358,070,893,508,991,052,
661,238,460,728,928,392,047,052,153,425,792,041,699,033,168,302,152,838,511,
265,327,805,485,946,354,993,884,784,174,011,553,820,554,929,089,917,487,197,
936,519,386,630,045,978,027,836,296,420,833,339,928,799,068,009,754,897,957,
327,007,482,816,520,563,207,505,355,495,368,274,582,868,323,903,692,484,097,
896,927,554,608,308,720,849,934,828,713,920,998,861,933,007,985,392,510,515,
298,176,991,260,703,708,080,383,181,727,267,181,633,479,672,050,811,733,474,
664,001,473,855,085,293,583,559,571,290,688,550,204,396,151,005,622,237,760,
753,802,271,734,341,607,159,609,581,009,253,631,709,200,756,384,924,816,693,
621,425,170,590,421,625,475,181,530,529,630,503,542,549,190,939,274,223,193,
910,291,678,365,352,155,962,011,189,346,474,145,643,904,253,081,992,553,660,
528,606,658,710,211,948,147,992,410,448,873,373,019,620,506,633,207,142,434,
706,372,570,015,090,289,383,841,160,354,115,507,808,441,362,875,676,805,281,
418,139,554,886,705,892,842,367,314,773,832,971,561,862,191,799,754,309,199,
667,040,793,718,711,877,593,645,507,420,683,560,408,175,153,116,596,106,847,
919,099,642,522,840,428,295,440,884,686,053,974,810,359,987,726,315,767,008,
624,431,804,162,259,987,022,116,492,981,114,340,733,463,878,575,931,618,343,
488,905,180,113,901,370,509,004,297,027,713,605,704,513,124,082,094,552,219,
727,334,597,015,267,531,625,189,252,581,684,744,038,800,336,219,864,267,889,
179,675,727,868,989,110,974,343,384,629,809,649,851,618,037,739,977,428,856,
303,618,784,141,576,800,356,427,143,676,159,769,833,812,725,153,600,444,535,
421,992,739,281,284,567,405,549,383,649,918,246,614,613,366,230,563,228,705,
531,698,033,768,130,735,714,016,016,221,403,002,247,119,128,871,816,028,847,
860,931,929,335,217,042,852,026,893,054,679,065,265,078,171,594,298,115,525,
532,164,994,839,717,832,176,064,190,618,267,906,604,700,096,911,084,122,728,
250,183,006,301,455,144,161,409,368,635,453,994,540,137,394,017,348,224,668,
418,071,719,020,621,902,293,944,336,763,891,516,173,516,798,406,865,239,691,
068,189,960,807,991,751,307,470,475,575,206,925,895,932,593,876,158,580,373,
325,368,135,023,746,282,730,153,315,865,949,743,519,359,895,781,004,414,237,
538,031,667,667,830,422,265,950,781,644,695,444,595,470,848,605,898,943,108,
526,066,720,691,231,453,420,814,541,154,532,808,049,291,561,244,067,333,851,
860,799,362,650,361,631,073,588,172,659,061,907,693,198,826,727,574,871,738,
621,124,592,960,671,095,453,345,985,229,734,493,630,787,805,502,100,554,926,
790,805,957,010,807,025,548,395,650,616,728,803,595,537,792,020,336,472,899,
432,766,814,772,424,595,489,241,987,063,419,615,021,305,313,875,712,081,209,
640,036,501,921,867,479,476,475,982,646,300,144,601,973,563,236,812,335,048,
893,406,219,699,259,330,439,350,756,739,605,169,038,582,052,854,494,612,699,
495,767,898,873,392,140,128,655,681,491,964,639,433,951,788,839,710,591,557,
658,295,734,623,169,534,321,447,054,784,287,318,112,186,894,727,415,006,699,
517,278,267,778,046,952,006,681,227,429,322,064,847,049,704,039,052,342,993,
235,365,654,196,392,755,364,550,681,092,388,660,629,344,071,578,643,481,119,
728,178,685,710,225,383,879,986,269,473,708,443,479,345,540,784,092,926,038,
349,794,902,992,184,327,030,269,340,993,274,583,615,631,210,747,692,918,757,
887,410,955,756,956,611,282,432,775,045,447,716,802,174,981,204,869,713,896,
583,424,560,322,287,462,922,077,202,569,059,328,458,498,224,949,621,561,690,
193,642,644,231,338,824,547,770,335,009,567,785,929,199,428,688,128,824,780,
487,924,714,408,381,597,475,489,527,343,979,144,398,355,660,582,315,017,690,
070,114,608,578,775,613,027,543,261,683,267,293,617,064,806,113,837,405,382,
050,222,972,680,428,547,541,776,232,271,912,160,656,289,862,879,582,396,468,
779,006,579,379,279,696,214,797,087,264,101,758,540,393,102,056,445,040,245,
871,277,863,390,835,752,037,669,733,850,828,163,961,162,504,900,194,810,615,
014,195,760,020,821,063,032,301,995,006,871,604,345,923,149,848,945,862,926,
762,309,228,663,131,065,206,126,728,795,021,181,495,594,090,744,404,647,389,
496,223,314,760,032,699,825,649,508,927,130,288,336,044,789,432,410,290,234,
303,530,934,152,516,282,370,372,283,004,294,610,400,122,070,156,846,768,531,
233,179,152,930,129,980,856,216,828,804,005,942,710,488,374,643,165,026,128,
086,917,367,730,267,116,767,733,483,715,535,217,791,408,539,571,840,583,269,
758,144,086,555,477,441,164,269,140,211,626,391,831,957,500,476,278,767,958,
881,153,378,710,819,389,075,533,438,417,246,412,489,051,400,232,402,156,542,
411,940,762,775,983,250,874,908,593,215,193,333,442,535,654,400,959,818,181,
050,306,634,199,224,605,185,673,959,282,803,040,303,889,464,043,075,321,333,
992,634,637,096,632,992,335,899,689,443,211,323,697,754,240,616,393,343,739,
128,007,403,352,535,186,646,910,436,560,852,911,652,674,795,366,422,830,875,
052,995,196,070,762,531,317,528,517,567,808,655,346,341,969,003,563,072,363,
442,157,515,242,552,428,621,601,486,326,112,473,796,339,247,890,259,548,331,
837,520,744,392,218,732,944,495,224,246,945,910,999,544,962,607,498,761,772,
415,477,633,055,515,453,006,085,504,908,227,188,382,542,388,050,185,359,257,
962,938,782,106,294,698,513,910,285,089,467,094,040,571,276,813,694,007,739,
321,975,673,075,503,326,315,808,093,515,892,647,183,478,923,260,452,383,857,
000,009,186,459,397,853,843,466,312,182,030,129,305,643,883,570,581,993,782,
263,003,905,885,868,958,723,308,841,160,559,732,245,090,761,088,268,834,739,
848,232,426,131,315,965,528,641,350,638,821,708,895,647,090,814,515,717,960,
317,282,086,464,510,174,495,519,862,653,024,623,254,742,340,390,926,930,126,
773,669,372,264,937,633,640,653,384,002,557,772,748,187,749,652,996,074,332,
039,546,018,890,511,368,251,183,660,972,714,013,915,429,419,004,071,289,272,
607,754,101,469,981,472,294,770,678,236,980,076,152,776,392,527,308,650,712,
732,602,744,250,869,238,135,098,819,775,443,331,660,165,641,925,019,186,958,
568,908,175,408,678,855,341,742,154,532,536,363,870,787,743,563,279,409,181,
694,645,715,330,429,393,715,260,317,991,935,469,997,880,138,215,572,888,683,
546,979,611,624,193,720,974,387,020,057,364,743,770,247,741,711,417,357,563,
327,496,360,522,538,830,919,052,603,994,690,831,922,694,149,314,113,748,538,
731,164,453,031,106,589,380,854,484,075,872,069,531,784,335,578,777,305,106,
358,706,077,873,291,259,123,755,803,051,776,097,595,625,375,120,172,993,589,
201,639,306,207,114,278,219,526,182,720,381,135,294,894,033,942,811,021,206,
220,383,931,027,265,509,283,101,006,748,648,176,052,305,313,907,414,403,215,
166,691,865,521,814,659,607,555,543,180,731,389,273,575,589,694,857,518,444,
442,179,406,608,929,318,838,465,092,373,053,372,666,586,010,489,371,014,110,
349,094,530,504,373,288,045,390,151,382,944,526,004,725,202,662,877,146,969,
292,632,086,236,523,973,176,650,300,392,576,950,328,910,316,859,494,098,654,
034,135,185,248,572,725,513,112,929,352,458,177,906,534,556,313,473,548,033,
063,764,227,135,881,739,483,754,744,260,074,448,389,654,036,249,644,650,149,
104,662,551,689,784,589,873,435,816,547,403,230,454,616,822,760,040,469,012,
750,897,166,595,258,483,221,733,156,166,188,380,451,523,819,094,386,049,489,
933,443,032,358,777,861,174,176,770,822,163,714,217,202,471,370,033,844,471,
668,269,622,415,355,521,820,172,616,470,398,791,390,463,417,480,830,275,330,
533,117,570,249,011,913,445,969,316,237,287,340,415,623,635,328,780,790,090,
944,025,832,018,385,863,312,576,616,037,050,960,258,532,754,174,100,393,579,
541,030,998,562,206,744,602,531,889,734,546,061,551,544,455,769,266,185,458,
675,466,554,115,954,426,224,980,360,773,161,938,340,184,618,470,665,436,302,
243,615,426,060,868,467,953,055,923,191,061,043,773,875,633,183,009,143,289,
317,633,447,231,402,948,280,253,914,397,793,429,167,644,104,345,126,444,181,
088,976,587,431,294,999,930,176,145,643,249,343,358,932,295,246,290,641,240,
748,139,686,414,903,935,495,191,882,097,344,275,899,929,235,374,739,720,075,
846,344,860,047,101,314,431,832,294,368,056,834,435,373,838,878,725,588,625,
491,333,270,602,842,160,007,586,030,856,856,047,848,543,811,851,884,049,640,
332,656,618,588,975,051,639,291,434,076,256,075,344,182,893,449,612,901,823,
436,871,185,191,747,918,478,833,877,679,144,527,871,403,877,505,033,506,018,
830,224,680,748,815,106,056,700,863,308,185,058,788,553,735,056,631,608,475,
315,088,738,004,101,120,897,242,814,224,649,263,956,229,860,930,470,287,031,
288,343,422,092,756,980,453,800,783,188,073,269,038,310,608,606,768,512,369,
336,727,622,216,131,967,896,344,567,532,078,039,419,874,176,037,985,954,753,
121,573,846,260,292,870,323,567,871,313,556,570,274,118,047,762,034,349,262,
946,507,047,663,759,180,389,698,930,935,344,367,890,538,617,853,528,956,157,
176,265,467,648,383,132,300,238,016,737,570,456,687,520,847,364,735,755,218,
772,979,491,622,097,429,362,420,655,740,777,739,979,782,482,605,764,548,672,
294,585,096,768,992,808,873,140,938,851,738,422,625,692,167,341,689,138,854,
788,368,655,456,541,777,002,447,352,716,665,483,645,418,421,765,061,455,908,
375,599,246,654,832,356,561,727,274,416,392,769,540,951,593,826,126,211,269,
514,472,468,519,547,789,436,205,598,405,187,775,473,891,433,859,996,762,530,
561,346,428,888,486,281,191,325,879,240,275,432,840,085,177,487,225,814,794,
250,089,322,152,545,041,113,524,176,465,951,196,001,575,271,238,476,160,771,
436,682,513,954,306,424,415,651,781,430,822,896,011,493,552,892,922,808,171,
608,218,467,721,540,361,050,934,883,920,763,125,656,599,555,439,907,261,590,
031,965,442,829,084,093,249,292,431,922,533,881,511,262,157,753,365,209,987,
916,915,391,712,120,460,016,931,656,953,145,063,684,549,936,820,955,775,727,
073,592,170,889,260,347,086,222,173,021,183,977,781,744,474,981,081,031,725,
880,898,347,947,907,421,137,337,889,002,296,194,660,504,056,873,593,445,711,
949,641,948,478,301,935,461,349,970,452,992,244,985,401,026,257,047,661,789,
589,548,774,273,053,697,804,797,175,148,449,953,353,697,226,424,504,386,079,
046,326,971,174,960,377,742,400,274,487,038,414,363,951,685,434,147,951,514,
699,518,001,791,302,922,143,003,698,672,484,899,252,055,593,269,968,500,950,
632,265,431,847,080,992,024,615,601,688,939,935,971,374,747,826,919,375,991,
773,151,262,994,121,824,058,024,685,270,644,162,340,506,214,460,870,600,921,
288,896,336,447,523,703,748,809,138,398,763,903,203,056,419,922,095,337,822,
657,098,030,274,278,370,460,229,026,931,029,204,832,214,256,553,658,719,780,
959,319,910,263,047,625,570,294,660,935,740,182,978,575,983,160,722,826,222,
231,854,471,756,499,606,757,551,156,469,168,578,133,701,089,284,180,635,773,
581,657,624,162,037,905,982,810,207,221,484,076,911,000,313,458,775,600,185,
844,312,823,814,317,523,896,564,563,730,989,178,360,398,883,525,862,637,086,
277,179,234,343,141,931,753,657,926,885,219,821,034,495,261,620,705,856,899,
057,750,309,546,885,874,056,817,913,539,465,150,955,734,937,061,059,767,230,
469,894,215,659,541,244,356,568,585,476,323,838,593,826,665,832,604,282,547,
408,160,797,695,075,077,200,689,464,642,927,620,384,107,892,046,532,566,425,
711,676,644,125,135,735,381,320,205,282,268,843,946,068,076,819,472,406,202,
014,006,006,173,146,900,387,152,707,433,094,171,222,059,970,165,421,964,816,
236,590,935,542,511,798,547,782,638,031,780,257,686,899,204,901,549,216,918,
959,985,198,995,329,893,239,654,111,154,301,008,290,028,699,660,198,729,596,
038,063,913,155,961,847,275,184,154,195,345,977,676,632,895,458,274,270,249,
565,840,990,705,162,965,634,136,145,663,488,335,010,910,082,623,183,397,178,
295,175,410,851,787,523,314,478,641,426,302,046,973,032,890,771,475,310,022,
545,632,874,903,479,286,527,535,340,642,840,833,307,392,018,189,563,517,650,
076,838,539,486,270,110,051,317,758,598,499,720,924,644,483,983,727,803,827,
600,883,910,307,714,605,565,213,753,241,825,609,575,993,349,954,946,288,643,
364,893,089,935,188,835,206,972,165,653,001,378,718,390,605,343,705,629,090,
542,078,744,661,214,744,550,921,207,664,027,887,159,383,464,715,133,054,805,
120,941,765,000,636,369,161,374,099,730,428,307,080,489,766,224,410,160,709,
494,963,207,951,912,908,938,826,645,909,046,145,364,409,394,364,868,691,445,
880,842,702,444,276,918,881,794,622,794,665,903,503,911,975,988,414,104,252,
971,720,453,113,491,247,423,314,251,035,503,769,135,451,034,883,258,378,032,
988,336,194,257,713,154,686,901,364,666,330,101,918,982,644,794,727,668,922,
242,908,161,496,430,637,904,206,315,743,759,126,354,065,772,594,283,785,050,
374,123,102,362,323,550,284,783,853,633,542,862,878,195,664,614,995,839,865,
910,302,623,505,491,769,268,312,491,220,358,085,413,230,343,977,672,244,911,
127,331,811,814,947,274,973,981,574,073,022,685,507,399,284,540,591,381,999,
100,442,538,363,714,531,597,124,143,304,178,444,637,584,964,065,421,121,428,
619,287,196,698,684,668,912,292,299,665,307,589,000,076,055,483,480,312,199,
720,375,320,913,293,209,838,225,314,224,806,080,318,086,152,884,122,222,521,
260,705,613,438,114,929,914,973,901,599,869,348,670,017,521,962,637,885,253,
634,182,995,472,051,421,234,253,742,406,281,633,688,947,431,551,431,394,707,
604,718,483,336,363,526,204,318,910,046,264,699,330,219,082,024,209,034,931,
454,622,472,530,293,284,128,871,846,204,803,145,808,719,377,770,910,320,236,
462,339,007,599,503,910,569,508,251,783,183,226,194,924,478,280,301,814,148,
364,627,755,562,609,853,240,067,529,262,356,898,291,209,053,164,250,966,228,
452,371,068,589,118,913,191,111,306,867,220,779,162,450,598,354,753,837,378,
509,886,913,777,117,041,022,109,460,051,960,913,640,408,472,507,439,424,348,
072,076,606,931,331,660,072,661,496,061,258,373,637,692,004,823,578,367,871,
324,359,119,714,169,006,348,650,258,655,523,096,695,321,405,834,912,028,711,
200,753,578,599,836,271,178,055,833,127,617,013,859,978,579,808,214,726,102,
269,238,515,971,480,742,246,139,360,702,604,830,016,352,503,468,047,377,803,
723,922,016,829,086,205,331,173,645,099,009,097,227,418,035,718,060,461,741,
089,501,095,523,337,228,986,667,045,043,907,516,573,755,102,234,422,929,201,
087,123,612,529,631,243,819,605,816,089,190,671,103,408,896,288,699,133,120,
297,977,045,012,478,917,717,897,854,821,794,092,895,603,672,873,626,387,333,
153,873,470,200,023,724,456,807,361,237,075,242,871,670,144,185,647,942,529,
335,893,851,392,373,723,401,457,999,840,587,389,796,398,646,819,962,265,003,
920,823,843,303,408,292,283,928,215,517,129,930,331,757,867,031,200,703,589,
146,437,960,910,767,419,831,844,898,491,047,437,322,917,500,046,172,909,036,
750,414,895,808,184,311,249,407,254,740,817,144,701,250,258,970,900,595,973,
572,252,830,096,619,085,260,325,166,928,453,154,795,667,418,664,998,297,219,
106,178,463,890,529,847,996,832,738,561,088,796,986,011,816,638,836,870,858,
838,693,046,114,648,432,863,691,880,108,091,591,817,064,532,113,476,247,789,
120,774,532,040,933,000,138,145,276,110,040,464,039,480,569,510,969,989,964,
048,859,974,651,995,700,061,213,902,547,364,996,450,157,498,820,102,668,239,
144,519,772,990,706,227,934,939,516,095,934,741,843,101,071,590,664,475,784,
806,616,452,264,713,611,713,017,905,154,953,931,772,487,944,759,495,630,506,
220,242,399,707,924,360,841,679,862,903,284,865,791,034,522,001,798,040,031,
536,461,634,083,915,462,014,113,252,040,520,410,196,006,048,466,538,759,091,
153,521,519,348,476,376,004,049,976,883,262,112,190,235,376,467,476,188,363,
847,986,396,111,211,723,238,673,455,638,997,554,848,200,313,848,374,809,088,
264,405,185,953,602,482,443,916,373,505,592,406,334,440,645,861,825,669,356,
078,898,314,256,197,297,675,636,011,658,522,781,381,789,703,733,080,626,901,
948,332,657,116,170,788,826,801,739,551,692,513,833,224,711,528,098,703,673,
670,469,311,388,528,361,617,569,012,199,096,806,235,363,082,488,842,177,634,
277,947,369,359,390,117,572,346,060,845,852,479,688,898,440,241,334,227,133,
912,082,644,181,628,435,807,449,020,385,681,028,314,180,186,866,854,709,238,
690,512,467,877,806,359,755,448,324,455,459,852,312,118,748,809,182,481,233,
911,894,414,297,356,046,142,073,600,858,881,274,498,968,346,967,259,393,916,
520,944,100,786,264,116,695,970,616,593,456,939,805,679,535,244,415,553,899,
702,309,310,523,718,187,880,214,271,661,295,673,966,748,250,311,944,847,503,
633,412,060,915,129,922,136,101,900,643,772,657,801,880,840,588,861,079,666,
107,302,468,282,976,041,585,546,463,863,137,801,503,900,412,301,655,623,871,
400,326,794,001,219,456,289,681,906,025,893,997,549,664,081,611,736,027,870,
426,026,555,890,001,142,912,075,345,924,011,733,195,270,158,005,749,020,569,
185,172,992,139,386,024,330,677,160,284,175,694,986,042,600,924,576,838,877,
238,155,977,055,350,150,004,123,092,899,571,687,761,650,025,770,318,173,462,
065,934,037,207,605,953,794,926,589,926,325,157,729,699,991,770,572,558,219,
133,615,284,575,296,021,152,224,996,808,192,551,674,544,576,355,723,121,300,
411,916,688,290,783,560,781,881,933,320,659,644,947,964,944,008,967,006,472,
126,096,529,372,288,488,759,200,272,061,642,426,605,121,206,556,306,192,239,
250,687,418,966,135,279,748,600,325,819,639,813,152,849,008,196,633,223,697,
673,933,068,836,102,750,066,242,348,677,700,499,628,891,931,608,500,429,726,
575,598,959,193,855,212,688,400,992,072,107,630,147,459,250,409,646,429,408,
381,362,862,733,526,339,628,127,277,568,154,015,002,499,792,430,040,394,843,
819,475,944,514,208,100,838,388,130,757,730,734,396,546,053,731,569,951,142,
293,749,438,839,427,901,213,213,450,186,175,557,405,896,110,885,171,985,269,
500,454,174,433,331,046,692,260,089,425,233,137,640,533,574,217,823,984,791,
638,921,293,001,300,130,746,708,989,295,976,021,198,879,129,754,330,348,196,
826,653,157,212,126,213,060,967,842,466,831,936,833,175,195,900,413,220,378,
707,746,273,727,733,600,391,299,198,746,703,788,061,290,993,478,701,247,048,
133,962,717,994,680,425,576,624,584,242,840,064,516,017,149,186,698,407,449,
790,642,539,278,002,152,116,873,002,005,641,148,759,091,596,795,322,895,253,
873,833,717,316,917,926,684,923,872,956,742,900,124,673,569,592,195,579,646,
488,168,462,907,740,918,445,209,042,732,789,909,489,857,064,235,126,825,135,
544,613,329,539,286,817,597,325,424,701,769,309,554,270,895,812,086,865,657,
281,128,777,729,268,393,899,497,317,733,093,334,531,928,733,106,108,957,383,
281,855,728,027,334,998,084,054,268,392,966,166,221,766,507,408,964,950,562,
538,134,056,045,052,742,550,417,670,792,530,171,637,077,343,139,281,087,363,
070,275,525,144,457,636,925,732,954,426,641,341,662,951,667,404,377,771,170,
172,842,954,444,177,607,427,503,791,349,940,210,077,388,380,764,561,824,200,
850,868,123,665,636,696,977,646,128,276,629,526,097,644,658,188,452,878,757,
387,744,649,146,679,889,172,703,766,342,828,485,468,570,356,256,746,485,553,
114,643,806,033,002,023,998,270,973,394,879,422,026,982,162,361,607,459,799,
912,479,710,665,918,628,507,193,802,358,014,437,592,002,329,230,250,374,313,
473,710,142,771,930,996,816,211,094,881,980,278,400,294,663,798,690,085,387,
056,274,451,182,475,049,980,079,660,841,126,722,100,264,141,299,254,951,787,
771,581,454,610,872,590,339,955,315,067,170,766,882,761,021,681,842,131,264,
503,316,869,404,333,952,659,401,033,778,567,283,829,230,105,001,482,784,242,
894,117,025,124,466,841,471,640,443,462,765,638,543,861,390,502,649,137,992,
402,077,035,692,423,398,747,069,848,682,412,653,489,620,743,833,841,646,858,
851,373,790,445,987,144,682,888,179,794,687,649,872,657,735,504,090,620,751,
400,969,634,263,517,687,784,168,666,438,787,662,771,970,852,732,051,706,058,
046,567,237,970,210,091,699,110,532,589,277,071,922,826,828,793,211,895,760,
541,366,690,474,892,377,766,198,335,956,583,693,834,761,744,454,747,207,050,
529,192,845,984,649,739,406,507,399,091,831,230,239,856,090,996,827,050,928,
504,999,187,568,401,006,223,123,718,425,193,852,982,199,320,646,387,861,259,
262,263,628,886,612,010,272,406,020,315,857,412,582,101,343,458,822,144,865,
210,746,978,162,272,355,622,267,604,377,645,940,789,733,858,974,674,203,140,
600,877,595,147,289,337,687,156,416,264,010,563,117,606,408,599,562,793,647,
538,720,000,045,894,551,280,754,173,316,093,118,566,214,631,819,287,555,762,
739,949,690,776,029,895,352,383,533,080,770,734,075,961,543,758,641,099,561,
603,537,058,068,577,181,397,694,370,401,292,208,269,839,701,875,820,864,862,
712,228,723,311,514,188,501,164,018,167,671,826,951,947,635,269,226,067,894,
191,529,736,598,710,888,254,999,227,629,705,237,936,667,279,613,471,665,429,
941,588,926,638,676,416,581,861,784,312,904,910,029,208,869,181,796,861,880,
447,070,630,614,458,082,844,240,187,226,840,809,875,844,962,930,616,060,359,
070,128,486,540,413,018,714,054,819,641,117,599,012,043,563,052,859,656,332,
228,216,234,635,307,353,220,215,816,864,349,546,393,731,741,417,492,879,651,
418,887,436,891,327,099,166,964,974,484,933,817,269,117,681,045,242,213,903,
508,215,346,423,650,054,357,700,656,715,442,087,143,750,691,475,347,989,100,
464,653,104,426,700,844,433,581,430,821,676,523,357,551,005,412,935,518,632,
949,392,209,906,716,123,150,750,618,117,424,370,295,042,918,668,096,033,228,
226,607,722,220,966,677,662,938,609,223,559,815,773,543,775,534,468,356,679,
923,245,444,841,556,693,758,875,683,925,187,138,041,882,648,075,636,816,374,
491,764,730,496,083,810,763,510,644,823,445,566,778,814,137,452,424,165,769,
941,056,241,495,201,464,963,004,426,168,161,738,777,852,755,893,267,048,241,
594,463,238,710,138,718,073,204,737,810,269,138,633,965,407,769,549,763,492,
972,735,962,993,913,091,148,406,467,145,184,670,585,829,133,726,761,648,485,
944,640,265,982,379,091,736,211,602,447,728,231,703,567,844,150,916,457,564,
355,920,535,329,821,169,547,247,140,199,039,660,893,733,671,041,398,373,739,
458,771,587,677,470,331,684,006,915,803,133,615,012,146,711,543,358,048,508,
656,219,226,322,562,336,722,792,893,484,493,578,108,486,189,294,085,486,055,
941,297,573,322,509,614,781,179,614,039,993,130,606,459,064,022,431,034,007,
232,301,098,016,695,921,263,871,088,687,046,344,403,365,144,880,219,330,535,
929,613,996,237,742,681,021,387,207,337,806,196,240,199,620,480,315,347,808,
166,571,423,689,087,951,063,198,312,562,325,015,800,947,688,736,884,156,840,
788,929,773,611,740,550,404,003,029,002,239,055,579,978,704,495,809,503,236,
287,865,513,208,343,815,164,037,251,122,661,280,370,059,081,388,414,216,967,
658,318,781,912,612,934,144,348,243,152,567,263,990,748,183,394,325,916,818,
845,916,988,835,013,303,228,544,367,912,323,043,250,390,979,547,733,497,238,
322,806,830,870,338,603,918,249,359,717,634,191,321,088,483,143,930,733,513,
126,230,263,162,934,868,392,618,665,089,084,116,319,308,464,920,477,075,930,
653,694,675,475,701,534,048,038,767,996,378,071,007,395,860,006,620,769,469,
849,515,710,661,207,630,258,334,634,133,734,424,669,068,339,108,785,673,833,
107,375,121,334,423,843,387,074,089,634,435,691,860,525,580,798,701,565,028,
525,377,154,071,992,350,745,347,751,260,610,336,944,301,222,416,338,434,327,
604,300,061,070,465,913,963,240,560,168,178,528,446,061,170,833,190,654,303,
231,514,393,222,542,336,238,370,828,366,058,135,050,573,985,498,023,560,836,
372,891,987,061,667,883,605,005,426,352,772,527,716,013,369,422,950,609,920,
154,590,164,124,886,525,278,991,794,687,407,367,655,401,960,281,302,835,763,
614,425,880,657,958,539,254,289,740,751,360,863,000,939,693,336,214,914,661,
144,825,268,584,088,614,662,394,035,171,309,010,524,355,135,992,376,076,440,
401,953,389,560,806,188,412,737,473,949,070,087,088,851,284,808,013,346,087,
644,985,854,453,989,162,527,594,712,361,168,459,591,722,755,009,125,054,997,
209,391,922,404,762,364,674,275,338,382,394,761,351,348,819,791,182,555,477,
630,429,487,806,136,672,864,984,721,777,277,959,984,218,093,612,686,055,691,
121,326,544,724,185,826,507,565,997,273,901,660,058,823,050,878,347,769,322,
053,597,126,062,231,563,870,709,273,112,614,068,102,985,043,387,403,733,200,
172,414,377,946,909,535,470,431,453,557,574,800,525,895,218,997,206,418,960,
566,599,326,978,265,225,723,285,530,425,907,734,060,877,145,845,769,062,248,
662,782,850,714,163,282,852,398,954,248,127,936,430,781,588,022,036,558,442,
570,472,580,130,733,015,896,464,405,008,870,296,907,458,122,256,219,595,400,
728,684,012,532,075,711,597,617,901,444,657,311,062,357,212,151,748,169,442,
528,725,678,251,820,511,922,274,128,366,247,352,864,644,538,013,746,291,458,
575,041,340,363,960,400,586,728,510,776,848,814,904,430,038,926,075,791,659,
914,633,575,458,810,847,866,510,675,834,434,406,693,596,301,443,202,388,540,
426,207,170,621,307,773,809,125,445,115,735,579,742,776,229,075,249,716,116,
707,067,564,867,742,639,570,373,175,420,238,848,514,846,176,237,722,819,653,
019,070,139,251,728,414,123,141,926,848,682,719,978,107,750,777,733,878,808,
498,092,329,168,302,274,868,791,905,643,360,121,638,476,700,936,258,756,004,
075,964,095,192,521,167,236,467,025,596,654,385,620,225,546,880,203,751,277,
345,900,028,887,077,853,657,028,090,698,921,737,689,626,541,951,708,598,688,
941,294,274,675,718,036,747,382,292,734,161,782,203,644,219,459,675,603,247,
992,836,458,573,231,970,178,412,365,686,086,243,228,235,876,641,593,617,828,
551,638,925,462,366,833,266,948,610,281,020,427,994,916,227,352,990,897,385,
437,261,145,057,241,939,913,772,692,206,190,774,975,477,677,127,606,340,255,
684,045,023,366,076,818,842,172,134,134,991,868,665,119,521,233,995,384,836,
590,368,408,695,814,870,547,818,662,076,180,642,289,131,097,443,374,405,029,
287,981,337,173,734,460,734,892,918,218,437,536,513,835,302,054,934,134,977,
361,222,442,828,007,161,781,195,631,593,563,482,246,243,069,221,608,699,529,
120,744,322,908,685,303,201,264,775,729,366,285,329,455,226,321,510,331,420,
761,541,915,479,875,153,372,059,750,104,828,299,973,096,141,002,641,373,617,
149,053,349,108,967,988,950,024,129,751,362,079,337,941,656,490,731,462,218,
510,090,018,069,510,291,725,572,686,287,865,101,674,795,944,108,696,562,745,
400,854,249,512,773,617,424,827,598,117,926,931,786,025,452,187,249,148,408,
687,563,290,573,917,364,220,476,053,430,044,244,549,881,950,059,467,635,740,
821,783,610,056,264,429,398,553,326,169,422,179,520,244,751,493,375,770,499,
421,905,793,993,636,401,137,662,619,430,195,622,540,303,524,980,383,739,392,
989,989,727,449,695,544,613,147,286,302,101,821,311,356,484,894,442,347,030,
811,575,560,933,073,074,826,870,213,892,618,236,176,867,628,927,877,952,319,
261,049,675,384,346,921,821,581,475,737,984,905,527,169,063,372,268,607,081,
084,501,952,599,378,928,087,688,850,469,986,592,141,064,242,017,412,195,700,
384,411,972,658,874,641,326,734,499,216,074,004,421,695,109,428,225,261,986,
300,631,797,593,070,859,085,022,112,883,365,459,263,870,181,160,767,100,407,
126,423,118,679,607,611,504,889,530,547,003,829,970,224,109,240,216,707,580,
310,193,540,596,870,490,245,453,628,668,660,300,274,639,474,437,162,347,462,
633,343,814,047,248,545,020,954,021,256,266,114,970,093,905,019,769,776,224,
512,426,648,185,486,716,196,208,655,450,525,783,214,183,997,240,825,807,413,
878,441,414,789,915,899,774,660,379,125,471,728,852,904,678,183,664,285,252,
031,366,069,907,162,611,749,068,539,990,452,263,952,563,271,021,968,963,077,
075,217,771,686,193,987,403,951,088,966,083,662,943,274,579,024,806,168,121,
938,527,541,731,264,528,554,151,960,639,636,541,691,076,658,529,040,201,485,
591,216,610,460,388,661,315,285,599,825,020,395,506,282,085,249,870,636,663,
930,116,661,040,950,472,069,453,704,461,717,508,739,448,827,278,883,437,482,
197,088,708,819,470,971,223,762,833,420,625,498,758,835,150,853,229,369,012,
415,560,410,467,840,044,601,683,420,419,573,764,002,867,758,996,232,317,633,
726,551,156,989,668,278,587,662,146,081,838,099,775,467,108,649,230,353,367,
405,981,329,803,522,883,029,152,584,107,779,033,422,764,934,855,557,107,066,
778,300,603,312,767,983,107,472,566,954,913,183,031,452,622,707,246,475,559,
069,754,596,711,174,920,384,961,793,625,647,264,188,933,367,529,278,193,726,
411,808,629,573,929,349,306,863,516,271,591,971,018,067,852,042,582,770,500,
271,951,819,728,831,681,347,248,571,478,313,836,963,052,001,444,395,262,588,
215,631,375,048,076,021,711,384,055,870,950,817,185,966,319,809,885,706,915,
998,132,558,188,672,158,454,701,308,271,767,589,507,715,241,329,412,177,730,
835,789,812,007,606,137,119,875,039,345,253,733,412,184,276,183,739,728,392,
777,853,879,798,959,477,968,311,547,824,490,727,434,747,789,236,656,710,851,
342,227,242,790,764,329,433,927,709,761,037,507,028,018,994,496,247,890,259,
049,602,334,719,061,230,449,155,674,004,615,735,043,423,737,307,771,913,517,
365,891,690,190,644,325,072,610,004,397,539,734,093,695,230,933,537,985,797,
791,730,918,591,339,183,479,704,858,703,189,234,941,117,462,970,105,516,277,
980,496,734,095,800,233,291,933,943,044,687,023,950,229,001,243,429,949,990,
979,141,432,075,489,424,769,336,052,945,794,029,780,954,929,561,359,891,508,
792,671,203,051,635,931,900,984,318,566,194,792,284,712,575,515,786,296,583,
894,536,716,590,958,210,131,872,142,780,794,107,742,956,643,101,985,237,245,
886,309,119,038,320,830,293,425,377,877,967,961,855,271,186,704,154,167,969,
446,793,861,252,963,809,627,159,991,121,540,179,099,914,600,544,587,786,810,
449,705,671,566,104,553,141,152,617,235,085,522,516,648,737,249,988,855,075,
933,973,590,697,679,433,683,955,175,401,716,038,115,770,658,148,631,207,810,
399,152,722,282,342,157,974,151,316,638,899,297,308,440,821,769,217,030,379,
274,460,636,322,242,604,214,844,026,826,480,555,185,667,303,933,005,537,011,
982,701,655,997,947,421,419,245,153,751,049,108,593,551,883,992,262,297,466,
713,678,933,833,171,127,014,746,470,122,633,914,249,148,719,547,656,423,446,
493,275,129,282,837,613,773,557,299,377,077,215,062,041,562,613,313,694,040,
131,616,501,819,581,697,849,404,245,513,115,808,741,833,954,382,673,524,615,
492,084,709,996,884,517,194,929,596,396,069,443,702,252,494,327,089,455,528,
017,582,657,652,155,796,193,139,881,692,746,485,214,172,397,558,301,494,721,
238,603,863,450,205,259,314,963,054,546,326,659,694,248,423,678,917,788,115,
086,682,653,465,155,829,965,516,120,100,989,359,414,786,777,432,777,833,545,
903,422,567,842,108,270,639,033,976,847,627,959,408,239,311,339,282,253,361,
628,213,041,992,770,193,206,277,031,330,480,351,503,238,508,511,936,984,702,
176,648,974,961,783,126,604,056,843,757,680,357,562,410,031,451,462,202,524,
144,698,847,001,439,846,660,124,425,433,256,664,317,856,835,302,312,054,620,
764,577,953,131,978,014,347,957,588,880,196,995,308,926,982,789,764,074,772,
263,751,878,042,843,663,511,994,303,614,106,786,563,601,339,362,584,345,292,
626,239,006,386,399,954,442,257,859,613,612,264,172,780,048,921,581,623,153,
241,916,094,431,608,427,929,326,497,153,380,453,940,691,683,452,731,826,794,
307,364,256,685,562,023,532,699,022,962,846,729,225,745,526,368,769,239,602,
440,061,835,884,946,596,473,102,946,987,255,339,692,186,103,328,889,864,288,
555,782,882,047,618,679,129,885,896,033,369,154,790,165,189,340,342,972,073,
715,018,641,234,197,562,633,239,599,292,096,168,447,356,716,258,554,911,073,
202,087,415,196,020,188,125,537,341,617,251,361,085,047,945,979,777,647,672,
382,529,783,963,376,708,911,299,232,906,695,261,902,470,157,146,292,643,057,
649,393,341,549,530,214,307,562,665,069,068,716,355,580,239,431,853,409,812,
991,131,626,977,436,530,007,345,454,690,067,592,879,764,271,479,880,114,253,
218,658,517,426,724,660,815,671,793,088,673,167,749,992,738,427,144,309,574,
635,186,171,349,736,928,959,013,075,778,029,662,060,609,643,683,368,995,279,
073,599,263,456,815,378,166,714,728,011,722,095,024,803,511,770,843,816,688,
313,393,413,995,422,728,555,218,215,418,962,892,507,373,608,242,798,772,176,
487,861,494,770,048,314,465,244,280,317,784,890,439,815,583,296,322,074,717,
157,146,219,405,723,494,438,982,413,883,697,377,328,344,836,939,381,682,020,
485,388,164,524,658,095,801,685,556,962,004,671,752,530,215,278,092,269,439,
197,242,216,524,644,811,827,018,555,785,206,111,689,241,410,462,875,774,151,
504,939,284,528,657,969,859,108,602,406,128,180,232,839,989,837,455,327,760,
642,311,072,362,109,779,564,085,089,010,851,229,993,101,435,447,484,101,498,
962,493,298,951,968,370,753,066,075,916,983,134,782,152,788,903,707,195,510,
174,794,067,595,975,339,698,125,378,490,417,612,138,979,102,771,933,071,084,
240,045,690,819,457,948,184,305,081,700,065,492,994,826,106,123,231,618,813,
333,077,843,293,929,917,921,093,933,512,565,492,750,296,328,865,476,461,500,
783,314,744,613,845,232,855,952,399,676,071,664,523,576,185,113,900,802,197,
081,291,679,027,097,217,047,093,405,369,158,987,759,097,823,167,927,185,275,
329,018,978,446,651,574,692,728,935,048,240,258,349,097,799,665,180,913,858,
749,822,413,188,324,973,372,926,818,059,876,463,848,734,886,604,529,949,014,
308,338,168,846,187,567,380,208,515,517,562,639,404,167,322,580,746,586,500,
106,992,017,217,339,893,138,459,631,008,297,038,760,205,540,194,580,585,316,
941,943,174,519,705,261,868,516,849,713,027,504,988,416,700,714,072,583,794,
545,803,358,549,224,091,893,127,763,808,401,456,522,814,950,960,881,807,878,
923,496,693,599,076,304,699,461,977,586,672,920,506,575,078,699,294,575,459,
182,553,884,391,031,403,281,085,753,258,288,604,181,905,871,581,583,184,161,
504,604,792,802,144,178,791,446,161,070,537,065,805,855,824,800,846,911,271,
642,034,033,978,382,914,161,382,932,579,586,278,082,748,816,441,811,800,302,
032,247,763,819,232,304,639,028,645,017,526,519,557,041,613,455,850,654,932,
119,968,854,761,200,584,261,870,334,407,887,720,519,867,080,731,342,844,426,
170,911,490,787,075,514,337,325,250,414,149,666,731,053,543,271,696,051,598,
897,126,086,335,966,474,061,565,023,994,172,000,580,971,739,127,705,505,964,
391,906,377,675,035,077,513,067,089,088,709,313,437,340,232,776,205,928,855,
674,404,327,456,136,318,190,184,658,279,319,292,508,020,857,833,417,028,022,
697,727,181,064,124,806,008,020,064,954,855,181,592,630,463,096,182,352,516,
918,254,583,171,401,108,843,652,196,524,962,115,706,059,255,715,463,060,938,
601,196,627,233,115,959,625,739,195,361,498,160,435,402,670,632,965,421,987,
568,913,361,908,301,157,461,264,871,445,937,781,971,096,446,884,855,892,883,
965,920,850,774,165,867,412,946,196,951,043,568,538,175,458,790,191,813,760,
805,515,135,150,797,671,284,363,222,289,731,731,866,735,332,260,348,116,698,
247,179,513,887,276,014,243,852,291,567,956,218,149,955,564,923,056,667,966,
341,781,855,400,816,200,844,414,898,391,710,690,254,537,783,787,707,046,593,
249,102,658,246,274,934,116,302,536,516,875,785,613,170,871,663,849,413,283,
151,839,445,016,946,618,298,334,078,508,428,115,534,186,880,473,887,158,872,
289,535,831,450,178,141,963,305,364,078,736,828,694,626,319,435,749,820,874,
802,318,122,562,481,364,915,402,785,226,224,365,367,555,556,798,022,528,890,
471,046,233,662,258,250,593,932,959,597,816,208,855,469,748,072,323,893,374,
210,149,970,291,345,803,385,796,588,504,838,064,505,160,251,697,459,787,601,
185,699,078,582,987,180,352,024,935,016,665,537,878,496,157,503,933,738,503,
045,352,710,623,148,551,846,428,075,117,921,207,234,512,042,448,979,983,478,
158,414,054,756,543,405,289,121,035,929,324,476,996,731,130,877,613,677,676,
688,362,527,170,283,304,697,144,807,181,312,864,226,599,741,784,200,782,447,
160,771,206,525,202,330,874,112,627,619,641,430,382,926,044,914,602,606,371,
302,906,664,491,378,709,463,073,240,460,487,492,210,838,283,201,859,974,358,
481,131,699,441,658,521,742,302,524,909,897,724,839,528,338,353,362,881,276,
771,119,158,057,731,936,082,362,018,173,702,096,163,644,416,547,311,656,319,
666,317,773,833,458,881,152,847,589,614,077,406,716,126,610,326,445,620,901,
823,419,054,804,739,030,774,036,502,007,252,259,835,259,275,016,761,289,982,
739,152,387,424,826,785,852,311,887,262,463,758,936,826,206,896,574,627,390,
809,436,537,748,955,757,031,064,678,684,134,788,196,979,927,544,661,364,699,
502,827,662,975,808,617,770,010,096,425,659,742,974,052,210,313,096,752,868,
043,848,195,339,978,643,984,674,811,860,622,442,931,235,723,674,140,131,087,
748,496,952,001,360,794,668,154,025,827,095,570,214,837,648,329,009,959,571,
935,270,877,795,676,094,801,896,603,741,083,007,422,609,813,383,221,199,627,
004,786,854,044,637,355,731,392,814,371,785,834,216,789,532,300,318,827,933,
211,361,159,132,481,915,871,864,530,841,499,240,347,581,918,476,171,512,379,
396,312,589,532,246,653,318,841,650,029,234,774,982,723,462,877,020,978,442,
758,376,352,702,432,334,868,332,399,569,653,828,159,560,916,266,177,875,614,
236,896,239,263,196,431,679,107,429,863,590,658,062,692,036,160,365,539,305,
709,947,666,366,712,478,289,439,714,332,115,664,668,643,179,790,424,856,858,
572,203,582,150,541,079,302,019,703,384,502,982,684,481,811,332,396,526,347,
668,650,126,032,862,486,867,229,951,478,360,060,985,054,886,393,708,986,488,
282,900,137,057,104,787,515,221,279,987,651,389,743,782,786,037,331,662,826,
449,251,080,754,943,363,098,538,017,712,884,920,549,024,721,999,802,511,241,
506,313,333,992,635,296,015,706,076,801,292,559,452,479,555,776,646,610,210,
938,427,533,051,177,492,908,041,231,520,993,393,092,654,019,406,730,349,663,
609,723,310,776,042,505,428,296,457,740,196,896,885,119,300,782,039,140,007,
853,685,829,105,585,690,326,906,166,436,815,960,414,491,832,894,464,365,129,
113,446,206,946,170,345,477,763,871,961,943,188,364,480,295,485,529,696,901,
381,520,986,383,167,582,178,104,394,686,934,312,513,478,720,255,767,759,120,
053,805,282,246,234,592,133,828,488,930,271,980,077,451,140,665,696,204,650,
091,705,126,405,513,255,608,425,255,985,831,171,782,564,232,916,684,613,611,
828,875,568,972,037,317,717,123,543,218,147,452,027,846,703,409,127,440,847,
699,684,155,015,013,618,505,894,077,790,964,853,276,642,120,514,517,110,068,
489,673,929,632,433,035,212,759,870,645,023,668,119,460,122,468,198,772,751,
414,116,252,880,090,995,517,707,223,678,379,203,174,097,216,288,432,243,817,
487,064,241,643,946,097,194,139,326,887,440,507,701,263,520,661,099,428,382,
551,613,050,494,282,664,420,292,888,044,592,984,839,216,279,165,605,005,595,
786,822,710,997,361,006,736,074,699,550,541,334,650,755,943,668,544,617,483,
779,302,529,482,957,415,418,731,800,454,577,941,057,782,603,432,990,485,699,
018,603,633,667,053,640,267,790,518,149,779,425,324,690,482,443,315,638,100,
845,439,865,567,183,499,417,974,516,897,831,186,224,595,118,567,561,882,497,
729,488,928,268,988,795,659,044,631,911,636,158,186,186,136,675,254,990,103,
391,420,342,980,749,049,822,780,390,365,548,906,220,269,974,171,992,582,482,
018,519,068,306,487,563,066,670,425,104,922,330,143,942,847,788,884,589,855,
028,305,425,504,772,601,872,887,665,514,761,916,518,541,162,259,355,497,791,
894,244,758,793,622,595,212,227,112,648,725,417,613,852,471,669,580,484,196,
328,035,235,495,500,219,739,482,919,329,927,118,530,213,116,286,337,796,887,
852,523,880,298,602,069,724,068,262,132,295,142,546,725,395,596,320,217,705,
205,398,525,086,556,850,963,388,237,343,200,209,706,089,098,937,767,036,316,
899,041,372,940,848,336,542,347,832,397,477,484,989,820,171,073,222,697,119,
764,899,393,413,672,930,592,436,825,664,708,250,978,677,641,847,370,056,328,
838,742,913,186,628,289,284,931,267,542,151,296,306,678,325,216,499,415,131,
345,482,454,410,489,937,939,830,279,972,843,393,993,394,185,116,550,228,421,
900,703,118,676,024,917,502,057,639,528,928,925,015,727,021,643,930,030,698,
996,787,657,544,445,409,017,115,925,169,479,594,785,463,601,575,316,734,655,
164,741,293,118,091,942,078,306,464,972,089,934,234,710,991,973,434,472,139,
134,615,976,638,943,441,414,393,638,050,372,054,022,687,281,950,875,759,680,
167,677,527,497,764,240,361,094,489,394,244,713,996,401,370,236,755,634,398,
712,195,932,659,946,797,142,532,566,325,861,206,481,962,091,200,906,069,071,
997,502,302,696,404,845,244,385,548,106,884,256,098,509,099,486,527,419,157,
783,450,277,086,067,899,148,049,818,148,964,737,514,971,059,900,474,570,832,
442,635,322,868,634,943,268,168,296,072,831,973,722,983,850,503,387,102,413,
325,138,945,085,997,408,463,691,984,805,559,866,300,986,136,259,717,345,029,
912,042,604,903,104,490,488,160,887,885,640,061,420,862,764,300,106,343,629,
138,881,280,184,738,576,442,935,564,603,121,427,586,463,789,230,074,800,824,
042,352,254,558,043,592,192,584,749,599,705,088,854,366,554,940,496,164,265,
149,021,849,195,362,705,320,879,362,200,077,096,106,738,639,119,414,077,921,
937,083,654,897,208,284,580,093,385,718,715,415,213,836,182,608,481,640,160,
394,434,831,772,324,291,526,347,938,724,900,058,587,891,100,394,675,358,029,
725,466,373,183,225,903,683,239,623,944,234,514,769,145,012,907,340,993,411,
365,792,447,578,626,882,010,087,720,742,032,379,765,329,948,987,782,074,584,
893,880,593,058,752,734,340,772,505,624,348,153,921,705,275,984,747,769,396,
402,670,142,225,410,704,642,327,166,248,824,400,817,306,850,773,626,841,475,
547,804,652,982,152,806,221,603,310,756,384,988,973,787,358,823,296,986,297,
801,284,445,913,407,901,902,966,388,275,704,418,108,342,764,493,500,849,246,
310,830,380,979,859,192,012,025,118,865,184,198,881,453,008,633,577,731,354,
801,645,891,480,488,727,608,273,343,027,123,972,602,928,581,361,767,387,429,
016,042,081,580,332,217,799,360,596,130,196,311,803,623,888,215,630,963,435,
923,936,346,668,097,104,191,515,979,270,177,867,416,308,399,001,457,125,118,
152,117,296,905,230,544,970,415,070,087,830,965,760,213,312,258,968,510,487,
744,981,588,473,845,214,302,015,650,859,917,753,081,322,480,740,530,104,549,
186,209,878,714,755,750,648,122,831,345,755,355,585,497,528,126,510,200,147,
815,987,504,146,338,908,274,427,412,139,971,735,512,591,171,899,355,219,444,
265,917,372,487,191,025,244,445,214,033,989,563,394,885,789,657,938,420,603,
779,228,827,359,313,206,718,430,272,824,626,192,418,781,004,067,020,923,086,
587,679,233,865,216,077,923,177,289,317,864,071,441,608,794,348,551,300,701,
104,885,227,552,035,199,777,713,404,153,205,498,424,640,361,465,765,124,463,
978,850,062,620,870,374,484,626,125,106,883,532,696,749,058,414,193,475,523,
172,572,334,118,883,682,630,769,993,680,397,671,459,076,256,493,034,181,720,
473,918,048,017,049,811,840,586,147,607,802,538,507,381,839,042,274,745,024,
845,051,825,975,552,546,964,901,068,800,674,233,581,137,856,960,791,650,395,
742,933,835,408,479,213,925,759,851,840,801,109,824,062,594,143,726,503,655,
053,919,168,063,597,510,809,316,080,606,759,822,346,822,249,305,655,123,403,
794,750,879,532,947,613,396,160,863,309,279,234,514,783,684,541,374,812,826,
815,970,508,062,872,079,651,393,983,704,170,780,802,887,104,303,070,774,475,
500,949,624,336,669,480,203,728,049,868,943,186,574,237,166,454,878,778,748,
614,593,342,416,976,712,714,796,651,252,098,936,991,752,648,732,757,265,019,
995,326,182,499,421,243,059,619,160,617,795,089,211,669,951,551,267,825,052,
347,155,551,412,866,095,247,778,335,989,884,301,252,668,096,089,161,849,321,
483,473,424,896,907,937,270,842,518,020,612,992,585,724,647,064,045,080,006,
468,015,315,942,755,206,911,412,979,842,274,532,515,819,449,334,409,931,271,
337,971,358,820,995,700,736,477,632,848,722,781,440,762,310,337,857,145,557,
218,650,978,461,193,851,353,474,307,381,815,855,033,032,700,751,939,432,272,
316,718,404,382,722,901,742,761,147,814,045,318,816,065,018,447,494,675,181,
680,469,060,707,010,117,861,457,781,679,227,025,274,707,889,838,098,601,482,
312,905,349,543,101,959,928,117,327,971,207,355,872,079,610,041,287,831,605,
375,365,247,589,997,226,616,685,267,136,943,971,588,853,879,431,926,088,609,
434,296,235,106,948,463,507,388,650,470,829,055,107,192,787,875,573,208,399,
596,211,622,095,535,334,246,119,248,957,056,828,678,966,533,588,647,751,784,
111,084,940,689,477,709,097,194,634,064,424,273,399,746,105,759,995,903,347,
464,209,890,225,762,677,382,655,525,465,908,142,893,287,685,011,923,732,143,
800,711,535,579,281,398,956,220,276,787,830,802,265,719,660,044,572,650,989,
962,986,554,489,748,949,672,540,986,993,758,447,568,361,044,617,444,843,527,
637,643,117,063,359,428,839,995,599,941,020,952,093,776,051,664,003,147,737,
470,065,827,925,362,456,582,918,455,786,661,086,572,227,050,973,738,019,447,
242,597,077,680,551,797,292,528,273,575,294,059,025,818,215,357,558,819,050,
013,658,754,457,885,452,754,997,665,645,674,209,312,865,195,467,055,559,746,
531,917,296,665,927,570,168,521,342,777,177,183,395,318,161,941,754,084,335,
320,245,180,755,801,395,985,240,566,445,239,828,268,253,961,852,174,471,811,
459,704,473,767,798,666,584,454,775,627,941,926,664,005,314,414,441,718,112,
979,444,197,364,133,259,251,468,802,225,089,234,207,326,480,172,880,021,636,
491,258,433,489,159,753,681,436,202,241,536,054,267,185,868,671,457,134,889,
499,921,982,651,902,217,605,386,804,601,167,850,993,200,898,234,474,345,520,
407,748,812,173,635,839,466,176,782,497,507,097,522,340,278,209,181,458,372,
204,431,079,758,523,516,032,883,446,957,650,595,673,668,830,100,162,460,855,
549,652,923,473,144,000,394,391,575,708,278,999,244,224,025,772,391,622,590,
970,002,033,850,122,922,178,119,287,595,428,694,674,137,208,150,590,209,279,
314,629,691,893,714,204,512,872,617,592,227,724,485,000,370,110,871,512,897,
585,208,699,830,926,137,832,370,115,872,820,601,221,191,200,815,741,324,503,
394,670,916,360,724,710,916,706,828,830,878,988,683,775,683,794,220,163,262,
063,092,922,719,375,944,830,917,021,947,921,037,648,443,267,037,256,614,886,
759,623,985,785,078,419,042,306,237,753,936,338,437,509,096,905,271,741,677,
904,636,214,126,506,466,219,753,718,383,183,256,615,027,815,345,745,629,316,
164,838,282,504,038,305,189,192,821,647,822,325,660,933,912,475,168,872,167,
265,233,097,160,028,414,166,902,338,504,911,098,744,174,969,527,744,265,701,
240,125,058,738,502,366,873,126,885,124,990,922,035,531,568,838,793,950,384,
239,684,078,874,906,685,423,845,541,589,636,201,386,459,317,807,874,832,858,
390,592,164,851,746,311,859,743,989,211,185,606,589,517,490,163,448,003,629,
876,847,993,307,663,466,161,989,818,620,005,044,816,366,614,272,081,116,647,
244,638,635,519,024,225,405,556,815,795,464,655,108,544,159,233,985,064,063,
667,452,737,353,148,736,073,824,208,822,032,469,890,386,638,841,832,147,746,
220,627,567,000,320,117,906,394,103,146,666,151,952,508,324,356,494,481,912,
700,007,871,309,458,857,419,101,873,040,441,787,153,123,700,764,264,447,479,
438,220,009,251,013,512,923,516,253,541,900,186,764,312,086,459,714,904,947,
203,671,450,218,544,957,479,616,360,847,875,036,287,475,636,922,904,601,708,
685,215,077,744,367,262,777,645,500,363,175,221,682,670,372,558,501,953,386,
903,461,131,686,115,176,446,011,552,542,818,135,755,610,943,126,074,319,591,
429,809,906,894,068,386,814,913,983,015,756,430,328,433,112,748,447,433,893,
169,390,307,570,756,000,600,929,498,919,303,538,262,886,592,832,115,756,028,
274,032,018,984,973,993,554,579,097,566,385,633,879,788,828,384,622,630,097,
851,962,787,852,411,819,878,777,055,792,427,262,225,219,601,907,661,125,678,
669,246,670,669,643,073,706,544,963,741,261,617,072,727,143,423,571,094,603,
907,970,481,285,087,702,728,578,815,197,158,674,604,659,774,543,456,545,879,
444,872,717,349,227,636,534,160,253,263,651,057,595,011,358,134,849,697,758,
839,199,473,155,609,048,864,475,868,146,668,550,694,904,842,229,620,748,708,
637,972,715,496,902,285,763,691,890,776,809,451,901,305,825,831,383,660,117,
694,147,967,838,122,546,559,453,477,604,288,614,266,936,940,589,163,094,361,
973,102,977,475,222,635,176,837,724,406,664,070,318,038,418,665,325,814,209,
871,057,300,197,235,065,545,837,601,652,846,555,951,963,488,244,164,067,935,
329,744,436,468,275,800,673,065,991,959,930,306,317,413,619,221,136,774,763,
663,368,064,692,889,142,052,202,057,637,353,902,759,135,546,681,265,349,108,
169,924,587,396,748,030,947,531,046,748,772,232,834,772,381,730,361,896,772,
381,759,138,222,309,114,734,719,016,882,975,866,791,420,505,245,865,861,526,
020,048,324,587,840,493,402,001,963,562,534,271,426,981,362,414,020,243,128,
240,271,276,257,797,931,455,280,020,120,136,187,934,796,999,224,016,854,887,
673,705,841,263,884,182,885,898,577,078,807,831,039,627,416,561,973,549,720,
578,706,773,103,434,796,154,983,586,328,371,950,046,365,333,699,595,122,693,
127,009,667,707,510,244,873,865,047,721,564,616,415,117,994,783,775,542,285,
278,914,433,876,074,903,778,462,348,082,208,129,473,244,797,550,372,102,067,
942,875,803,034,977,576,190,975,267,221,250,834,368,629,434,229,887,694,007,
849,062,954,283,927,294,010,877,029,247,180,967,709,469,685,982,922,459,204,
881,196,897,530,002,908,969,190,785,501,103,249,161,655,149,934,504,421,778,
500,546,401,168,236,037,440,923,170,699,758,603,588,738,542,117,222,407,716,
420,123,073,389,002,332,490,263,583,742,521,390,448,971,394,562,893,281,175,
023,216,602,183,947,983,782,525,045,891,698,857,280,875,236,304,505,947,723,
833,953,685,829,250,655,611,730,242,020,803,718,383,638,894,196,526,110,356,
767,372,814,674,169,251,815,748,905,096,737,559,867,351,470,697,295,323,128,
043,194,333,014,578,481,927,469,869,004,406,018,217,411,334,768,271,710,992,
743,000,296,609,417,477,038,624,451,030,808,168,484,435,589,044,566,398,136,
386,634,970,193,995,378,354,096,758,585,384,379,465,649,484,889,960,591,990,
618,966,638,732,134,378,812,466,919,738,500,860,369,339,431,834,177,174,905,
966,393,094,268,637,894,466,878,861,233,969,254,149,679,924,244,744,683,338,
916,057,724,751,050,775,333,427,550,628,413,091,030,924,943,028,609,758,153,
867,687,623,973,719,093,672,934,455,045,874,035,914,429,693,786,597,667,542,
780,943,266,436,248,917,459,283,100,280,833,165,685,062,595,588,713,594,640,
194,571,552,663,506,932,795,733,817,070,033,375,462,271,068,020,959,781,432,
007,791,258,702,154,670,157,769,159,695,076,541,715,828,158,003,579,379,736,
064,963,551,942,797,675,125,262,106,989,514,086,128,997,614,120,434,701,145,
186,095,663,143,420,004,692,953,300,296,032,510,305,105,018,489,532,146,964,
878,132,518,145,857,376,887,473,421,077,660,753,834,880,271,636,373,146,827,
904,378,789,087,956,829,861,288,313,713,067,991,735,518,468,848,074,987,060,
063,198,325,397,643,675,634,921,358,229,114,148,873,705,628,509,670,273,240,
063,692,763,162,404,013,841,267,446,356,259,250,102,831,026,685,117,690,369,
598,227,616,849,984,113,609,815,298,632,581,160,572,449,856,627,151,737,423,
212,700,939,362,864,802,240,571,923,874,501,941,719,804,389,052,075,676,956,
344,594,112,750,494,922,224,850,137,192,535,290,524,710,209,444,058,298,993,
804,242,846,988,942,401,916,672,751,552,637,837,638,946,231,023,460,885,179,
431,024,998,230,806,557,884,237,957,054,665,153,873,332,601,838,986,433,861,
234,072,853,792,620,357,933,586,115,522,907,366,899,629,551,241,231,053,646,
998,629,926,202,889,235,082,114,061,190,012,269,438,309,178,220,371,513,277,
646,110,777,542,914,249,720,920,173,488,194,146,493,137,110,351,431,579,020,
513,332,053,518,280,851,047,172,228,440,405,098,328,988,997,565,356,611,592,
832,290,834,634,767,059,737,009,536,245,663,741,110,917,483,986,636,875,537,
717,149,866,709,241,837,368,661,106,602,423,711,930,238,686,499,663,041,445,
225,947,721,229,591,651,233,212,951,784,839,624,744,174,890,164,611,063,723,
132,532,066,110,562,257,102,078,947,075,627,866,512,288,421,551,229,856,057,
220,377,804,915,209,565,487,298,142,905,804,954,667,807,076,346,912,460,405,
123,128,694,414,304,829,428,747,680,706,062,286,978,570,283,011,026,668,183,
564,534,790,063,083,654,300,254,791,136,446,823,690,653,498,059,774,962,500,
179,597,832,777,505,586,559,487,450,804,788,763,531,081,721,850,440,935,113,
706,353,320,969,848,161,476,684,591,587,126,973,524,920,901,640,133,464,544,
137,314,594,094,493,758,665,639,418,978,633,834,632,353,646,521,223,957,237,
441,293,939,759,469,848,642,731,856,488,183,548,468,858,169,348,015,794,875,
202,151,338,268,324,954,411,946,648,151,633,643,368,154,245,375,472,780,804,
721,170,415,415,426,480,128,325,850,976,298,817,641,852,629,494,902,076,560,
174,645,894,591,496,599,024,446,297,655,073,917,635,197,710,987,111,664,458,
906,307,303,917,263,524,931,493,396,798,672,020,603,055,210,289,903,843,939,
794,791,936,050,796,098,817,716,904,080,934,124,031,117,957,970,380,777,387,
274,492,566,728,725,709,303,817,747,538,915,303,197,701,635,194,454,173,593,
852,427,571,628,410,812,412,456,988,713,169,117,103,928,761,110,897,074,333,
021,705,094,943,417,435,852,029,821,778,282,731,334,227,103,039,615,327,318,
082,560,327,240,313,285,075,874,576,559,899,486,401,405,929,107,715,176,278,
149,465,334,465,139,465,754,043,576,289,068,045,113,041,584,872,271,605,409,
471,796,626,706,175,469,109,468,462,417,347,761,307,645,746,209,156,698,998,
011,415,613,951,450,727,143,242,216,999,819,898,993,563,171,962,193,996,418,
899,057,786,761,431,297,314,278,716,222,851,283,893,327,392,987,687,977,083,
185,347,090,448,320,482,801,816,024,168,301,937,327,344,580,388,046,227,566,
342,560,948,707,764,783,214,771,631,325,755,136,566,787,518,510,120,883,474,
948,079,056,477,488,022,291,398,708,390,909,320,833,253,666,893,965,424,953,
759,608,833,781,616,655,208,398,188,275,847,219,735,688,650,110,706,054,471,
493,802,001,360,280,919,022,546,913,352,857,183,360,137,205,595,420,479,003,
424,196,598,147,859,441,379,908,806,675,415,606,141,061,537,016,887,525,386,
705,373,077,410,300,707,764,022,189,533,669,969,050,131,872,728,451,850,514,
461,789,190,723,517,731,630,811,811,425,152,629,865,858,463,462,556,063,083,
918,028,667,258,900,133,325,678,688,508,162,018,594,645,934,157,253,943,152,
629,215,519,766,415,787,837,265,254,929,519,614,909,607,882,903,845,528,657,
776,497,101,688,014,797,136,126,953,824,816,876,308,952,636,965,409,034,800,
693,051,349,866,090,334,771,101,878,858,715,032,975,841,159,797,870,831,528,
318,563,566,453,315,794,513,155,983,092,754,310,977,204,356,906,717,176,519,
794,798,058,107,364,232,121,418,602,099,401,613,015,795,394,024,305,645,319,
837,298,593,849,234,887,848,991,841,634,399,957,477,040,783,540,852,894,915,
021,670,472,755,193,916,694,142,312,652,389,702,366,629,090,200,311,486,402,
888,553,546,983,243,684,293,282,821,209,561,172,861,818,665,519,631,652,419,
018,333,499,130,660,267,491,367,088,734,103,148,701,321,293,504,866,448,489,
734,325,348,133,462,034,459,588,686,294,607,928,631,042,163,487,925,438,609,
685,591,337,569,043,670,148,882,411,455,587,256,062,164,622,351,581,015,304,
657,806,483,220,742,774,011,297,126,060,727,915,438,970,765,567,723,988,315,
925,694,692,373,887,482,080,910,576,920,067,607,404,920,303,510,965,429,918,
709,578,278,000,837,325,543,639,530,973,623,927,601,938,811,347,347,136,091,
268,372,057,962,790,556,802,495,161,025,626,541,780,873,557,401,405,034,584,
094,587,896,701,360,241,241,938,256,660,805,026,619,804,862,632,186,436,937,
566,940,109,842,741,329,801,782,895,907,470,963,595,422,042,475,680,772,915,
184,994,594,719,965,863,645,872,515,689,353,332,910,238,298,993,537,487,441,
628,883,556,509,617,716,400,341,706,660,508,113,579,965,213,171,809,231,121,
046,693,720,588,912,381,131,801,341,759,838,971,172,800,363,926,975,636,248,
352,608,300,078,354,705,590,699,511,634,119,708,051,698,186,740,273,366,129,
713,758,641,515,199,456,989,853,844,534,886,966,363,920,672,873,877,155,197,
662,316,012,826,492,548,646,317,499,148,478,630,582,642,673,772,562,936,247,
593,807,250,188,813,367,646,641,329,539,228,821,930,247,778,300,052,884,282,
332,627,850,916,734,073,266,249,757,244,334,976,921,475,019,751,268,951,877,
570,925,439,234,217,201,104,296,364,735,601,456,992,716,366,665,940,479,293,
956,038,886,235,336,420,051,718,506,363,757,180,038,621,698,041,869,632,613,
707,479,045,780,516,345,285,470,525,752,773,607,721,829,742,616,102,350,486,
687,252,412,933,392,686,202,960,585,857,378,699,849,018,193,579,699,589,422,
288,342,919,855,180,307,663,079,490,772,793,338,469,162,945,870,665,962,725,
999,926,379,617,918,195,836,339,669,202,659,511,434,221,905,489,642,102,921,
964,010,723,725,837,321,985,864,507,329,724,982,862,148,171,287,466,768,558,
344,615,088,026,850,998,370,420,875,820,880,106,686,565,717,586,372,381,766,
600,886,747,703,775,245,528,649,104,372,843,647,743,919,039,087,792,682,792,
489,121,994,176,631,367,731,552,368,725,099,643,466,393,635,127,736,198,511,
449,908,220,029,202,490,143,719,964,840,759,986,156,096,219,335,783,465,516,
298,799,384,941,149,302,604,437,387,426,333,321,591,203,165,153,679,477,193,
134,285,543,129,732,006,618,445,557,455,982,551,805,803,842,246,708,176,844,
918,471,840,739,756,941,564,766,275,491,426,416,349,222,198,565,763,958,863,
408,394,324,369,121,286,719,248,455,593,731,725,446,743,745,356,527,973,724,
221,333,990,012,177,845,215,512,501,492,535,974,699,132,540,456,806,016,527,
678,042,008,771,494,340,535,185,996,343,520,672,135,961,384,649,110,272,937,
245,009,846,432,622,967,600,292,112,223,712,613,847,850,960,743,134,459,540,
227,043,995,770,287,904,482,883,976,077,658,470,260,381,555,976,773,623,930,
153,871,558,859,362,945,864,273,199,395,648,876,579,206,902,593,763,238,728,
488,712,989,002,834,366,122,320,363,395,477,548,389,785,863,431,443,883,238,
210,886,021,803,193,289,580,932,712,088,058,203,034,569,349,786,655,004,822,
093,556,877,206,119,884,636,169,458,624,223,528,464,454,018,040,430,843,759,
580,702,042,473,026,214,090,024,346,069,056,493,255,806,996,472,815,880,225,
585,599,408,720,481,286,113,208,947,351,411,293,412,073,315,521,709,821,823,
736,036,529,937,960,542,011,885,574,295,941,809,401,592,296,804,048,999,759,
627,627,682,368,009,121,239,232,146,337,961,558,385,486,845,857,124,937,461,
980,690,796,726,140,942,974,932,223,205,936,407,108,575,704,773,539,646,079,
568,214,185,725,346,646,809,655,113,244,664,996,440,183,246,516,122,445,631,
819,134,658,425,379,345,406,641,458,267,750,731,448,171,779,676,703,468,355,
978,408,213,671,671,302,603,703,284,406,081,176,965,237,000,222,072,404,654,
787,223,721,104,442,877,313,092,871,309,381,744,402,542,080,385,842,930,471,
861,070,371,332,180,040,480,942,572,847,088,391,306,405,242,126,991,969,472,
302,822,602,987,499,011,708,448,633,165,361,613,417,387,442,124,972,661,453,
647,686,768,206,603,786,788,176,347,902,340,158,712,314,693,434,665,785,565,
496,542,038,776,938,239,006,929,484,433,896,864,820,816,454,142,739,175,152,
359,518,612,016,347,712,717,582,282,253,006,772,038,725,748,369,138,661,772,
938,710,311,558,789,623,313,974,360,959,957,788,436,871,713,739,658,194,378,
845,900,320,871,389,572,778,981,599,149,375,477,464,709,626,825,017,700,870,
302,766,395,289,072,799,928,839,056,205,116,958,611,233,503,395,504,143,588,
494,698,548,303,616,841,082,241,472,554,900,268,668,988,397,217,822,609,649,
540,545,901,582,867,026,501,565,512,882,292,507,671,337,105,124,021,122,224,
071,708,072,705,253,493,856,841,705,072,861,268,605,004,560,598,140,913,407,
430,291,170,554,622,808,339,961,544,975,038,739,826,285,182,342,063,823,515,
146,019,160,638,160,204,186,021,458,979,580,715,007,058,170,340,222,673,633,
798,836,931,523,292,618,566,914,769,568,229,658,498,125,683,160,347,380,241,
050,200,024,451,537,172,250,148,280,465,674,061,082,805,046,554,095,026,514,
037,906,465,526,559,602,299,614,067,898,753,127,847,093,359,496,452,806,645,
984,260,361,247,967,045,651,479,088,196,985,344,811,112,563,734,752,702,992,
605,549,244,268,166,382,583,378,275,699,802,647,573,914,650,811,823,614,207,
470,428,188,993,197,082,920,477,707,559,479,061,110,249,929,740,592,056,562,
421,786,214,859,153,542,959,627,659,889,974,388,357,220,379,537,676,087,046,
324,345,842,639,094,513,948,356,203,796,733,729,576,395,247,951,046,994,938,
851,569,446,362,232,923,653,414,590,093,155,994,384,510,614,832,699,741,298,
504,881,596,496,588,182,094,982,131,574,317,153,580,338,482,006,741,373,567,
056,175,727,301,855,140,403,229,017,485,664,579,671,190,921,779,524,145,011,
341,343,130,043,451,972,850,254,925,571,959,138,339,023,596,130,911,184,366,
741,913,625,641,892,923,368,770,056,251,333,304,343,479,293,448,640,074,555,
443,530,491,606,330,160,259,228,833,964,165,287,256,422,752,098,882,921,248,
482,875,442,442,195,148,095,452,125,725,756,869,990,611,009,365,643,509,081,
323,485,962,246,506,673,573,417,353,642,112,823,157,954,465,734,763,920,004,
457,840,241,033,475,375,150,602,678,531,269,291,611,643,548,611,534,361,875,
589,611,247,036,621,292,435,753,238,919,706,992,947,521,525,579,620,646,730,
539,140,169,976,523,113,167,190,031,447,917,581,186,845,523,682,818,838,249,
040,808,497,053,351,512,171,112,343,531,601,158,689,861,521,407,767,601,452,
041,342,403,629,385,847,326,085,575,060,738,366,518,913,141,338,186,037,416,
514,923,189,179,919,439,360,459,793,636,836,043,678,060,414,403,981,196,834,
455,453,174,498,213,080,644,631,791,301,466,890,330,882,924,827,201,781,971,
225,313,354,642,911,797,631,682,863,188,498,164,420,838,004,644,059,752,485,
298,117,858,961,395,435,127,242,397,607,109,503,963,488,338,917,408,415,449,
281,529,157,294,964,477,439,191,866,867,947,293,064,821,669,877,103,636,435,
893,622,571,104,373,631,045,575,839,802,028,151,630,362,845,262,807,084,073,
093,359,116,586,871,444,385,065,869,708,903,882,897,161,150,832,238,490,374,
705,280,062,211,643,512,876,604,456,298,241,874,529,441,074,309,803,855,922,
196,380,172,924,681,698,274,711,338,099,399,428,331,510,010,474,465,470,186,
039,658,665,508,354,695,231,073,375,267,387,634,729,662,527,453,656,304,569,
773,254,954,103,350,174,436,092,530,916,435,920,724,531,145,963,712,446,916,
968,712,076,754,358,609,851,070,048,462,788,403,563,758,038,268,217,843,405,
445,438,541,818,507,373,074,594,172,130,342,187,840,219,310,568,380,381,457,
980,233,081,235,236,780,820,158,889,953,317,291,143,014,094,528,066,985,327,
792,904,710,604,289,792,429,538,276,268,234,248,914,339,090,622,823,123,562,
271,548,503,156,700,307,460,150,408,734,585,259,683,540,328,638,309,966,157,
618,778,657,806,512,360,252,590,533,509,277,668,858,565,251,661,161,419,176,
199,781,472,231,260,797,767,726,459,073,321,254,070,558,514,770,723,140,763,
566,445,139,800,202,554,872,501,434,137,575,015,613,304,188,907,074,602,089,
563,454,487,355,256,865,203,240,093,546,319,806,188,835,069,417,149,669,501,
897,325,477,396,149,098,633,116,311,764,906,317,597,143,945,920,260,000,062,
197,962,837,772,915,379,060,026,490,555,429,043,456,097,493,448,338,506,698,
175,338,409,160,143,102,322,181,670,250,795,694,035,254,774,848,099,741,962,
790,324,620,348,562,920,359,933,356,477,490,311,411,457,614,878,108,050,538,
792,596,204,234,400,257,798,446,514,851,290,249,773,533,534,242,137,299,900,
953,695,210,386,355,116,124,447,200,534,834,499,538,613,583,982,523,765,147,
135,754,384,238,745,973,076,371,657,532,859,645,526,323,343,247,711,140,912,
159,634,533,025,286,377,177,493,278,187,783,364,341,590,418,281,485,314,445,
683,591,847,809,083,385,019,596,501,023,007,058,564,694,570,210,712,872,288,
510,971,364,092,161,531,678,191,324,512,989,381,505,370,201,316,944,042,063,
613,139,960,094,960,168,192,920,835,778,411,455,625,281,371,023,322,455,160,
131,112,752,474,225,677,709,158,980,247,500,278,663,194,650,269,065,165,128,
469,153,441,568,022,069,769,017,464,933,653,601,755,454,196,987,564,123,822,
790,156,997,856,187,697,623,621,184,868,588,553,442,313,481,541,997,304,221,
614,549,602,726,293,132,767,761,913,272,349,558,185,159,191,211,624,170,390,
849,007,873,472,589,771,721,449,221,021,485,375,193,183,498,335,133,807,017,
590,715,533,199,530,244,504,632,602,214,976,639,278,216,119,597,924,597,662,
180,805,466,819,590,407,959,396,990,608,371,018,316,591,134,303,645,028,532,
681,183,430,792,701,020,717,808,415,547,551,183,117,928,282,334,928,865,586,
745,259,995,047,771,657,536,950,029,935,343,796,638,751,292,964,570,707,896,
749,105,132,565,499,249,307,744,645,629,547,866,424,691,584,570,276,549,163,
487,484,620,125,871,002,285,425,162,629,365,630,802,437,978,759,946,537,225,
732,383,204,715,265,115,896,212,750,033,570,734,195,644,467,587,112,189,271,
453,686,123,486,313,479,292,089,680,967,989,118,693,535,312,786,678,943,476,
577,388,297,121,413,295,227,221,352,116,858,487,217,981,923,768,481,133,496,
155,892,263,755,088,350,748,852,434,686,206,835,266,417,580,717,917,891,950,
664,553,911,128,161,810,117,135,946,988,361,457,533,640,249,207,959,211,207,
277,036,679,117,993,169,374,918,428,047,140,973,043,289,397,563,450,170,335,
343,345,155,781,191,205,693,781,562,438,673,568,319,175,843,688,036,298,851,
101,589,316,425,091,434,091,377,722,362,447,901,888,274,902,127,642,288,511,
971,630,868,738,912,267,482,229,115,934,617,911,628,746,725,983,127,576,042,
982,521,163,406,473,782,354,802,077,453,716,482,431,508,800,014,919,384,634,
322,812,257,247,246,358,159,933,987,967,956,902,989,060,484,637,723,616,819,
453,767,657,261,411,489,280,741,141,970,381,590,423,964,527,935,002,165,338,
894,711,120,760,851,713,771,754,384,137,243,958,627,955,313,266,165,432,680,
610,901,858,297,601,779,798,843,790,559,426,375,612,401,252,824,916,359,916,
311,130,600,413,069,259,693,417,023,679,444,676,979,094,590,100,011,819,470,
937,180,943,780,413,809,861,606,011,678,956,587,411,496,909,293,260,569,533,
521,355,133,936,907,125,644,316,624,378,435,322,606,387,870,547,465,699,486,
734,255,660,040,824,175,224,835,102,181,137,663,809,776,319,721,919,493,237,
223,127,000,784,611,449,796,252,077,764,739,349,819,567,419,314,400,309,731,
299,893,016,937,003,737,713,606,340,050,167,475,380,607,023,761,726,747,548,
867,931,646,397,126,365,798,597,246,708,162,315,068,166,808,825,354,118,935,
430,845,048,101,044,165,858,792,251,311,719,408,495,402,256,153,334,044,519,
211,757,971,572,675,508,933,876,216,319,532,244,558,305,529,815,976,252,889,
793,899,378,890,120,109,305,194,476,634,050,918,486,210,889,388,588,051,602,
895,766,049,641,527,309,905,819,864,707,960,583,177,099,475,758,280,131,269,
987,569,561,974,143,055,202,347,806,676,979,171,342,450,514,028,449,754,398,
041,120,988,974,686,128,197,836,839,736,607,880,372,806,653,652,402,233,696,
340,658,067,241,419,702,589,253,351,528,892,016,822,555,983,965,490,798,877,
739,663,725,920,077,265,589,349,585,424,149,427,790,684,447,831,248,002,554,
984,634,146,303,606,854,540,803,280,231,962,949,263,929,215,874,404,056,368,
022,849,764,012,919,447,896,794,678,837,403,138,103,422,581,749,440,331,705,
758,908,477,004,343,464,076,171,679,249,102,333,875,161,441,816,113,332,926,
031,851,903,238,390,678,817,855,782,820,378,289,397,019,242,336,759,478,141,
656,548,299,120,874,342,630,502,877,397,027,389,268,672,571,147,081,681,228,
769,704,920,214,972,841,799,185,156,875,540,026,119,097,725,030,700,293,593,
802,442,793,132,075,570,225,850,970,666,665,963,923,882,780,405,315,893,239,
338,744,392,256,396,171,214,982,501,481,778,748,305,633,781,116,735,261,552,
434,949,342,589,531,172,811,322,548,622,447,840,857,928,558,345,343,650,357,
463,979,764,909,372,535,334,032,126,459,991,266,808,614,549,410,351,875,030,
900,017,597,751,512,324,684,846,804,196,487,587,253,346,063,792,211,698,505,
995,582,375,150,663,158,548,187,223,113,200,490,937,002,901,992,186,632,617,
892,917,178,924,303,981,084,410,921,639,857,153,051,154,874,442,575,281,821,
619,221,661,376,567,307,932,210,706,108,809,945,747,907,960,760,207,310,682,
887,297,266,651,131,336,620,053,718,279,591,983,632,009,399,470,262,931,468,
861,562,152,403,553,146,348,831,814,011,026,044,398,990,024,692,424,086,469,
760,478,869,471,215,461,511,978,977,724,055,079,736,437,336,861,432,427,625,
010,899,919,568,515,796,131,822,772,895,149,119,118,141,009,829,096,508,404,
722,919,203,232,027,717,726,606,325,136,790,387,370,061,169,205,852,406,310,
286,066,262,067,647,339,521,234,457,030,217,035,570,177,369,893,199,235,354,
026,656,557,071,174,954,092,331,969,202,146,732,958,103,028,711,091,858,195,
010,272,610,628,542,576,407,071,324,234,014,251,686,642,500,501,613,934,208,
772,320,186,764,917,268,892,294,249,699,191,441,109,113,411,560,233,401,269,
794,605,781,885,416,749,544,818,393,894,424,535,771,367,433,364,529,206,610,
952,874,729,292,835,582,507,214,183,757,528,422,808,719,002,453,886,525,621,
504,425,459,827,618,950,958,679,337,313,752,708,020,568,362,907,895,444,919,
766,920,777,035,313,740,250,019,297,576,346,636,444,509,075,744,340,856,604,
229,024,726,306,491,302,769,437,532,096,470,086,751,235,613,154,314,302,134,
594,925,364,356,134,690,394,347,225,874,258,025,402,175,982,621,504,633,148,
619,863,319,210,745,358,106,584,063,841,479,812,558,767,835,606,675,740,729,
261,927,147,754,273,783,925,687,528,583,762,700,849,888,881,869,525,567,305,
969,136,051,937,657,534,797,349,615,975,811,950,459,767,103,283,353,878,239,
668,167,830,037,674,242,345,902,092,441,670,615,521,042,971,118,031,145,095,
367,903,727,530,210,699,273,372,607,321,417,494,961,845,007,987,167,785,989,
181,241,941,240,326,796,429,470,401,647,078,859,048,788,685,542,958,140,913,
660,051,160,473,813,420,500,633,247,992,075,821,454,363,098,993,363,557,817,
226,927,662,213,315,099,307,141,680,929,293,837,617,894,731,921,796,100,694,
339,905,593,981,980,346,840,787,736,770,708,075,201,695,322,152,991,152,877,
803,711,445,092,524,981,326,900,174,672,702,049,013,368,285,825,374,790,470,
560,440,920,285,791,319,472,793,538,952,645,270,252,294,374,622,576,562,685,
426,363,085,467,905,088,509,095,461,984,973,885,873,861,770,357,422,864,067,
672,747,013,601,522,298,636,332,696,886,386,330,397,990,516,425,014,668,625,
916,907,231,993,339,487,274,913,397,888,372,360,088,679,313,353,900,930,596,
288,206,740,744,244,340,114,313,681,878,555,324,899,051,465,303,516,215,237,
342,444,407,103,621,694,078,803,274,707,733,645,052,682,042,834,144,264,459,
737,473,975,050,001,758,306,179,386,370,594,672,194,212,672,417,475,099,072,
493,347,323,324,549,159,704,350,469,293,301,522,216,329,558,897,737,585,939,
841,487,674,443,325,704,799,539,364,297,659,990,111,304,628,140,617,491,396,
098,564,958,046,386,314,362,726,818,362,284,446,061,813,178,022,840,556,840,
891,922,378,436,447,336,143,343,232,889,815,674,689,945,087,411,628,761,049,
015,932,441,892,269,652,469,142,748,067,729,313,303,518,045,337,759,461,916,
754,153,476,442,581,214,624,240,416,237,667,156,791,828,646,605,151,265,635,
928,999,065,250,910,977,184,515,266,432,981,145,858,169,315,627,854,052,181,
147,301,748,770,056,180,333,700,884,421,775,896,952,982,502,694,732,251,821,
126,274,988,962,097,679,543,742,194,338,271,208,542,348,586,160,646,234,200,
646,666,179,281,237,980,890,449,339,482,344,541,530,346,251,592,715,726,527,
580,609,475,119,895,463,313,742,158,845,989,042,097,673,625,851,770,501,677,
515,359,713,637,971,293,292,879,354,546,431,533,652,822,111,849,090,197,037,
389,722,108,051,662,589,417,717,391,711,671,230,615,472,565,687,732,848,212,
710,887,843,556,303,242,411,542,471,246,210,106,524,697,657,631,839,272,428,
009,304,693,597,656,461,607,633,767,559,671,527,904,636,369,774,600,633,844,
276,509,564,890,858,453,842,468,279,899,459,850,723,335,438,506,503,315,254,
603,114,939,485,473,537,595,177,714,792,738,172,634,491,671,294,068,057,916,
066,400,950,304,253,490,067,858,199,203,615,853,394,857,428,446,072,194,312,
678,850,217,976,576,220,646,586,886,013,551,998,748,669,043,104,878,704,354,
546,661,383,945,959,384,556,100,128,429,174,338,518,398,155,686,001,014,578,
939,386,767,654,373,538,112,672,993,671,086,959,309,692,439,760,500,608,477,
589,546,687,697,145,959,924,291,813,756,895,228,099,588,051,109,602,735,974,
903,667,893,204,989,471,119,536,380,966,325,108,190,625,672,996,398,360,995,
689,371,797,258,176,570,600,864,500,461,294,881,383,340,264,177,174,704,141,
419,532,039,994,677,417,773,936,944,064,131,147,624,252,505,108,592,660,105,
277,581,882,404,403,005,190,138,003,105,310,819,112,193,601,894,284,588,028,
996,721,616,285,352,109,401,162,185,097,223,460,043,867,191,647,347,126,468,
290,164,539,387,445,364,616,427,818,300,933,795,518,897,334,101,129,568,821,
439,224,495,836,201,422,229,508,962,919,125,733,613,321,930,299,837,993,630,
785,473,060,982,164,649,595,409,875,750,957,193,457,884,070,141,866,072,825,
723,433,734,283,914,167,344,915,206,318,778,248,826,471,265,215,395,570,127,
955,536,997,726,463,015,301,888,044,277,125,731,398,536,494,911,892,106,736,
966,636,397,052,354,389,259,017,297,364,265,862,759,723,916,761,345,716,113,
909,155,257,411,421,410,079,404,248,548,242,995,319,087,547,807,563,209,726,
361,794,828,653,378,291,399,298,954,559,317,227,612,956,977,147,932,611,341,
985,644,424,730,948,854,764,534,030,804,132,335,351,958,247,198,258,621,425,
555,092,280,615,043,836,936,168,490,559,458,656,868,337,857,937,232,851,940,
503,692,153,866,853,330,500,546,077,768,497,559,719,268,005,562,747,421,365,
053,498,048,449,789,880,918,178,494,896,638,893,522,118,659,460,376,443,963,
208,848,687,695,879,652,399,942,837,355,694,042,025,888,304,620,525,146,616,
334,399,297,245,122,692,633,993,507,302,897,274,200,395,893,095,574,914,097,
696,156,970,085,749,706,626,972,268,821,348,447,345,501,445,361,565,966,407,
847,086,799,634,541,332,708,853,394,216,961,639,705,150,935,909,422,752,659,
391,333,183,849,381,218,539,406,247,409,654,485,239,914,247,187,326,034,638,
853,230,419,102,948,043,383,042,756,525,888,360,780,897,987,282,039,755,216,
178,568,872,759,008,388,283,729,044,691,365,806,215,907,223,775,426,239,545,
500,684,878,379,380,983,931,073,538,272,218,934,058,207,106,598,135,043,375,
130,101,545,454,355,481,375,724,155,619,819,749,906,710,813,756,239,874,155,
469,128,630,794,339,354,851,828,453,091,325,135,943,077,547,282,517,826,425,
278,230,427,457,235,423,724,837,746,799,031,582,693,854,538,862,462,393,308,
783,657,623,339,783,581,660,583,758,281,213,655,143,941,126,120,855,900,973,
622,082,054,066,901,266,804,940,519,217,778,649,819,241,111,843,510,427,715,
040,878,084,015,755,040,301,011,601,040,703,467,351,136,426,990,943,746,130,
465,274,907,570,871,798,062,614,517,972,771,040,466,466,245,858,123,769,654,
208,583,408,071,391,781,855,070,521,741,462,906,621,751,604,869,034,768,323,
087,018,696,242,177,820,861,765,921,107,546,053,440,962,702,617,053,243,718,
233,266,199,583,201,282,706,203,271,194,130,737,732,210,047,404,514,341,628,
215,080,418,706,248,564,830,360,695,184,125,255,957,328,702,212,207,094,067,
269,864,561,128,551,543,041,590,469,951,125,032,568,029,041,988,042,509,195,
554,394,946,768,507,960,569,643,158,642,991,753,344,456,941,829,119,346,399,
515,068,579,005,778,307,144,453,025,635,447,992,324,595,265,036,962,292,705,
522,040,741,005,015,313,531,065,884,631,937,385,392,713,263,455,323,479,723,
471,630,128,597,818,229,433,838,546,297,421,067,286,976,450,240,218,014,314,
086,626,131,439,758,602,552,570,536,414,865,006,779,963,377,211,164,682,860,
183,573,012,554,528,395,481,605,200,707,912,498,270,239,334,014,397,783,585,
545,330,898,625,906,899,669,504,488,157,861,324,983,050,238,053,147,019,442,
715,501,541,072,108,797,725,711,753,839,142,393,245,634,118,689,019,910,139,
570,443,296,626,010,502,679,051,998,258,986,159,023,599,981,959,973,987,724,
447,186,603,331,034,626,024,024,463,501,477,939,088,065,862,613,316,192,973,
624,127,735,253,312,747,401,689,835,897,547,931,408,863,648,367,543,112,767,
356,709,750,268,380,382,894,980,879,590,087,023,490,390,922,562,505,618,053,
397,280,947,769,582,746,467,452,192,032,368,443,665,571,536,673,722,239,139,
026,963,872,268,587,817,102,472,491,682,008,826,036,534,345,658,333,014,793,
148,374,319,157,914,819,682,249,991,179,204,847,255,021,432,158,563,559,176,
204,309,920,490,439,791,724,628,790,032,991,889,511,231,380,369,848,898,874,
239,633,434,270,596,434,044,627,635,869,398,633,176,399,699,816,349,960,920,
357,408,777,009,307,254,082,622,481,218,811,919,908,978,528,245,573,410,915,
855,409,159,745,518,328,076,478,972,515,874,922,933,446,929,922,678,509,638,
584,064,952,735,539,704,185,506,555,170,078,036,539,866,255,208,177,750,765,
453,254,637,116,107,893,788,123,005,311,108,562,730,406,342,227,467,370,581,
313,718,934,109,331,462,230,594,043,289,169,458,806,118,391,762,449,960,999,
525,449,445,343,741,654,976,666,353,501,510,904,646,252,181,434,178,972,150,
657,699,534,953,626,926,736,641,424,039,257,893,481,138,424,451,303,577,397,
847,193,317,709,429,826,317,724,513,395,008,575,472,994,224,921,928,668,314,
328,408,586,946,704,781,044,544,401,875,277,079,972,514,145,313,882,751,044,
798,134,370,455,893,357,053,884,149,023,333,488,588,740,988,177,168,347,824,
689,076,231,542,985,125,345,389,947,093,473,952,000,089,543,284,060,335,029,
248,890,491,672,424,400,843,244,027,129,556,050,632,452,733,965,173,703,877,
768,472,045,941,351,016,127,543,431,308,680,331,183,947,496,556,453,176,123,
982,850,690,672,750,329,106,329,917,039,682,942,529,549,234,972,945,959,156,
765,135,105,487,045,403,716,388,196,007,301,895,828,262,745,197,826,479,359,
177,867,961,391,431,467,858,000,282,104,307,174,281,013,398,624,551,232,238,
393,733,795,202,198,894,975,982,067,423,217,881,180,681,291,462,740,926,646,
488,445,127,727,666,016,761,096,976,148,551,209,056,308,208,615,992,030,395,
348,887,898,290,063,989,406,767,268,166,627,332,922,530,050,937,692,034,684,
607,591,284,222,436,718,633,415,931,623,059,293,310,385,975,160,435,400,387,
403,106,293,908,447,149,047,364,993,601,138,285,164,074,778,932,115,512,053,
840,523,069,773,931,842,884,549,881,267,803,032,572,825,660,355,620,672,625,
128,541,151,088,262,717,684,571,425,347,709,059,472,446,093,426,446,953,365,
657,123,177,692,011,027,655,190,711,095,766,325,948,271,906,490,925,672,679,
908,650,451,886,692,803,342,985,247,135,195,823,841,553,998,579,900,155,881,
152,216,033,290,017,261,730,335,140,234,243,066,142,047,133,477,326,469,804,
974,379,780,999,860,189,548,739,298,785,474,354,690,346,630,966,645,195,063,
838,957,208,545,955,734,733,810,931,355,780,535,463,608,671,539,817,337,810,
900,827,320,817,212,063,291,009,524,123,406,474,452,504,215,807,630,517,084,
666,729,009,766,120,643,438,081,244,012,121,888,226,742,201,240,715,422,448,
148,249,466,103,094,087,871,855,513,227,927,715,587,050,358,975,971,241,299,
533,256,028,946,382,916,902,040,501,121,855,275,789,418,941,300,527,201,892,
433,056,980,445,126,759,163,746,094,545,057,443,531,502,362,358,447,920,287,
590,308,060,048,743,460,365,558,162,432,862,849,320,802,364,697,797,297,320,
818,433,407,841,567,232,300,141,942,824,382,012,833,297,577,879,991,719,645,
234,920,687,361,643,458,459,520,499,400,771,008,593,873,295,766,009,807,482,
094,818,401,585,920,293,761,720,781,006,992,606,273,371,267,251,069,064,592,
957,192,083,422,184,575,483,137,721,946,127,933,350,974,550,644,997,313,936,
674,834,662,743,912,753,071,455,206,482,726,075,398,561,526,149,218,846,635,
507,614,929,611,860,153,877,798,644,992,343,567,392,140,122,413,818,041,849,
280,795,343,473,839,925,708,061,886,332,924,938,298,775,688,336,853,043,644,
034,527,326,258,953,172,141,622,453,950,628,790,567,520,022,747,328,504,532,
044,234,294,543,674,115,587,252,217,953,323,620,315,223,603,915,188,216,445,
964,445,903,706,257,637,788,008,836,434,615,664,080,610,654,799,783,524,018,
087,871,819,222,120,174,245,632,967,569,818,326,964,431,903,279,476,042,832,
758,033,708,632,669,973,120,578,317,255,375,031,752,199,670,013,894,349,507,
098,613,015,194,917,595,147,701,799,637,159,116,291,790,210,997,454,552,191,
623,894,392,363,908,719,758,964,329,736,849,734,280,263,068,727,795,829,288,
772,533,926,799,371,754,918,108,269,088,723,247,767,225,898,621,235,853,781,
445,149,779,118,071,872,138,318,927,141,456,749,205,321,074,085,028,462,148,
750,026,331,240,177,748,686,108,480,852,114,357,857,395,052,404,772,439,118,
361,980,782,655,663,730,266,020,405,858,718,763,925,806,103,270,658,436,655,
423,825,738,302,820,891,342,792,910,612,568,370,854,534,609,135,444,730,229,
102,814,409,825,093,553,736,694,261,983,799,847,201,445,021,992,875,094,006,
419,412,717,525,930,628,245,601,064,680,793,672,329,507,288,759,127,360,330,
863,204,437,881,194,666,510,019,997,943,399,700,965,797,633,952,113,098,313,
843,891,959,864,055,475,187,045,250,998,304,536,760,586,910,321,561,359,664,
995,550,217,660,136,117,698,620,225,310,508,379,721,131,080,227,624,605,650,
983,297,794,413,414,484,960,364,832,731,507,793,998,994,095,978,941,331,574,
259,911,926,608,519,947,425,953,699,859,716,617,068,249,066,121,088,167,118,
573,380,452,274,606,897,275,700,125,124,653,706,799,896,423,730,644,746,485,
733,746,281,386,298,104,520,491,032,740,831,781,945,291,063,911,735,783,251,
013,349,469,855,130,199,542,147,993,515,857,111,186,113,252,439,141,870,518,
397,159,733,318,600,204,164,437,756,205,287,107,820,875,450,409,943,065,917,
592,322,522,582,845,788,771,963,759,635,027,226,468,738,314,174,987,097,355,
740,476,492,127,315,050,178,512,021,554,587,804,322,021,653,545,125,514,093,
074,099,663,021,195,177,279,655,851,965,440,295,457,184,207,234,206,919,544,
691,971,630,992,311,559,080,662,928,871,640,275,766,750,020,164,176,693,780,
457,677,566,535,369,201,236,525,639,233,996,771,504,305,178,777,899,930,447,
175,356,734,416,765,755,879,070,600,561,640,318,867,420,509,746,676,998,496,
359,413,971,212,464,664,459,840,552,130,499,099,463,740,120,354,055,349,779,
998,988,353,186,943,562,936,692,093,172,731,982,811,180,655,784,567,338,352,
625,494,056,030,872,918,131,593,506,336,478,894,539,327,544,112,680,892,838,
400,921,219,862,190,714,349,680,970,148,656,472,587,805,721,517,796,541,368,
751,886,468,723,271,485,183,037,570,862,666,899,518,869,726,752,891,008,705,
753,833,168,774,280,176,705,503,867,348,841,652,266,540,921,686,213,139,636,
524,009,171,533,601,641,311,437,500,920,227,343,999,999,140,432,644,773,758,
918,912,999,697,854,705,727,577,336,723,662,130,246,268,363,145,372,670,572,
675,284,515,460,806,167,728,904,154,120,864,299,086,414,587,687,057,764,867,
931,449,075,997,274,329,315,291,776,763,637,834,613,032,203,143,230,273,477,
833,582,383,501,784,522,720,414,440,908,629,274,282,978,034,873,791,486,927,
667,839,516,962,306,894,624,346,696,498,618,306,016,243,085,296,438,635,381,
244,500,754,118,207,642,189,638,911,533,363,180,983,299,095,291,738,897,051,
130,170,567,601,622,626,030,645,658,311,777,698,916,186,937,672,606,108,633,
341,364,817,317,301,920,104,255,839,417,390,134,627,241,137,800,841,882,346,
023,119,698,464,403,893,583,328,398,308,107,367,853,386,618,997,942,019,024,
121,263,528,019,343,487,157,866,029,311,182,148,399,710,918,308,417,782,853,
023,384,918,757,985,702,278,387,018,109,673,993,749,247,919,114,983,720,199,
781,258,117,280,197,945,457,814,556,637,164,039,526,414,673,577,201,479,401,
854,000,127,046,906,110,106,300,838,943,425,039,150,920,287,127,997,154,427,
217,861,053,910,649,963,010,862,035,989,505,189,773,822,168,290,316,481,229,
099,563,174,804,942,039,397,414,296,417,961,504,130,412,250,314,805,157,691,
432,754,386,816,119,350,375,734,026,753,548,704,617,653,683,458,111,693,407,
456,671,438,827,401,056,321,376,824,994,947,171,828,553,383,358,878,625,268,
748,809,708,207,033,082,209,068,952,165,840,952,446,464,522,940,175,479,381,
387,964,571,081,937,902,256,805,242,003,689,418,226,327,775,502,812,080,227,
927,993,845,950,446,576,233,683,644,361,978,779,670,168,544,828,618,443,838,
537,844,574,667,891,529,519,462,846,387,070,293,850,984,978,421,570,349,295,
397,974,607,645,777,166,602,475,629,475,110,455,633,849,788,666,070,903,703,
096,652,052,591,201,099,161,168,545,149,974,712,841,277,523,785,163,903,516,
376,814,198,109,163,311,476,008,643,147,096,170,900,686,223,600,499,995,905,
663,167,240,784,120,636,938,211,865,098,833,074,839,198,032,241,348,837,922,
091,589,534,464,181,757,005,562,360,991,813,776,951,068,757,698,740,266,709,
804,644,675,893,822,778,760,790,112,573,828,131,939,011,047,273,758,786,499,
480,631,136,267,294,076,799,477,909,899,397,144,818,231,651,499,535,547,462,
067,509,246,710,207,536,749,496,140,532,541,800,999,198,667,863,000,372,245,
987,442,045,466,292,090,486,191,301,659,312,548,800,622,760,728,982,309,094,
696,446,528,867,851,345,946,914,454,619,228,551,085,408,609,488,586,609,184,
831,237,624,478,267,392,826,081,519,950,434,346,296,797,072,411,606,142,909,
181,920,848,746,039,623,649,391,246,081,424,326,568,180,991,766,912,385,322,
511,685,198,450,435,396,455,779,820,508,860,266,996,253,637,103,257,588,666,
298,409,422,776,642,425,121,137,553,919,879,532,809,468,289,209,669,637,095,
383,384,782,609,417,784,891,561,345,108,620,908,002,719,749,065,072,871,445,
690,139,656,720,347,005,070,490,014,766,391,812,013,171,238,213,017,267,813,
273,212,401,894,109,196,415,534,463,315,247,279,870,347,941,623,046,087,438,
704,398,832,310,245,103,491,047,971,304,021,858,665,201,986,238,923,815,247,
853,171,629,995,483,442,749,028,761,077,601,589,492,381,314,912,174,416,011,
885,321,279,167,013,380,395,612,360,735,580,281,379,276,716,023,635,566,948,
914,885,154,326,326,703,541,448,078,448,686,216,336,077,474,307,278,285,187,
123,765,381,185,000,857,175,295,267,936,949,388,001,416,586,866,063,892,463,
794,645,450,504,514,328,872,080,966,186,372,570,754,478,163,836,649,579,414,
141,415,152,246,661,047,711,592,471,994,359,122,017,844,616,997,269,839,704,
726,355,790,087,243,769,103,610,630,025,000,762,173,142,515,824,597,158,401,
836,804,605,211,163,757,891,546,646,361,891,827,426,081,803,019,630,126,246,
335,168,576,448,306,522,302,612,201,533,204,102,030,205,730,535,413,834,483,
368,944,298,986,217,648,905,901,535,267,150,255,243,260,794,592,409,022,103,
579,879,646,527,256,326,000,611,316,782,196,908,568,751,806,347,820,301,793,
548,352,936,389,632,805,081,193,400,563,324,728,578,735,693,647,782,135,327,
120,459,644,528,896,399,172,404,178,677,029,478,847,365,606,662,710,768,520,
281,818,892,935,680,626,110,044,033,889,244,584,925,590,905,522,942,082,306,
061,197,243,595,045,711,104,456,363,595,056,602,020,114,249,825,206,014,156,
734,159,619,250,781,878,661,906,769,014,853,221,626,326,892,672,767,398,775,
770,344,634,778,944,865,245,979,928,025,706,771,906,012,862,592,494,740,589,
450,628,206,372,673,526,879,416,409,044,948,382,447,727,554,005,930,645,727,
152,178,253,051,119,571,314,499,425,974,553,503,884,519,290,459,803,708,350,
691,147,733,826,896,277,279,781,593,166,753,658,002,644,337,144,223,268,987,
148,700,023,542,740,542,704,668,246,342,548,362,322,725,322,477,534,210,925,
319,170,679,468,912,983,213,486,678,883,482,169,524,191,387,827,702,646,243,
457,163,462,932,480,027,488,129,817,257,803,856,926,531,115,896,226,315,740,
688,126,269,629,990,431,048,828,997,477,401,200,849,613,951,882,245,826,742,
131,434,846,086,052,032,184,552,500,692,529,169,108,920,161,969,208,744,909,
699,490,944,501,535,009,283,183,862,490,591,009,426,147,212,541,694,839,972,
547,415,567,747,146,988,941,173,268,022,892,051,613,028,063,157,691,488,423,
708,127,052,100,277,880,521,211,977,699,806,046,784,381,112,845,767,436,903,
683,811,272,115,107,244,181,092,391,621,521,345,193,236,225,506,743,584,371,
353,339,928,078,159,792,584,258,020,778,312,541,271,962,864,357,222,034,522,
492,451,640,264,418,649,471,516,962,084,118,522,951,246,485,641,598,903,039,
526,079,747,595,456,895,771,182,654,067,630,185,898,250,070,419,567,786,370,
614,918,703,809,981,313,413,319,688,534,306,778,445,959,794,046,892,679,730,
157,784,599,820,925,134,532,736,374,808,817,951,195,502,568,840,622,334,493,
239,989,462,940,650,905,995,535,181,874,204,950,236,022,747,023,055,510,279,
993,174,097,855,220,280,937,447,392,508,680,514,045,551,562,224,816,707,114,
399,392,630,938,843,580,021,217,621,400,165,202,135,262,217,342,053,980,917,
965,471,717,215,641,582,322,048,292,698,318,931,020,237,683,657,418,223,899,
878,858,309,052,120,867,769,674,833,284,841,203,938,694,646,793,134,235,294,
128,782,376,746,626,333,648,125,117,162,120,737,176,368,471,479,936,641,349,
069,705,579,426,347,139,284,050,800,199,355,860,468,679,691,319,040,728,358,
257,745,052,123,094,369,823,309,751,629,950,275,112,975,632,704,752,244,582,
117,129,135,983,158,329,967,355,993,889,964,992,212,645,238,390,926,719,752,
877,114,176,950,978,473,012,357,726,421,488,549,218,486,458,953,298,435,659,
010,748,227,479,494,503,007,174,073,369,119,728,489,258,906,122,697,488,560,
408,848,667,806,097,945,649,136,631,872,382,664,018,856,432,083,901,932,034,
041,583,058,701,074,409,935,550,118,450,742,814,780,602,285,243,929,612,426,
585,359,791,729,639,921,484,922,485,883,155,088,110,634,511,030,754,980,706,
814,698,891,617,813,107,784,889,125,344,298,529,204,935,481,702,387,375,061,
961,881,558,613,313,864,772,693,303,966,495,661,079,550,610,997,044,870,784,
405,679,257,525,837,681,051,983,761,570,994,983,091,577,402,512,566,538,918,
702,375,082,113,186,963,025,820,292,695,265,038,717,387,016,241,339,416,877,
113,719,626,544,107,673,209,135,183,299,872,003,276,966,591,749,319,854,870,
021,385,263,258,441,006,006,986,328,523,593,938,687,234,899,855,014,391,002,
673,409,283,909,711,980,776,994,352,911,161,484,226,901,582,657,599,288,466,
880,472,722,900,245,478,539,860,446,409,894,823,225,374,847,663,216,002,364,
134,737,973,906,027,441,708,369,016,859,352,853,504,507,335,463,319,578,513,
876,199,466,429,766,232,096,894,745,629,515,006,603,398,296,003,043,800,932,
596,638,660,039,910,668,070,827,927,490,400,543,255,811,024,052,095,920,433,
091,332,928,834,344,946,587,109,504,120,834,448,277,701,116,305,434,607,976,
076,566,617,892,278,911,953,128,417,644,521,939,785,985,671,564,075,614,231,
550,872,166,287,363,247,361,569,294,796,486,818,117,850,039,183,545,872,588,
221,968,932,092,375,325,271,169,131,485,477,587,679,299,224,464,532,532,009,
241,556,877,664,259,200,245,471,578,165,184,512,248,471,959,602,476,650,331,
037,186,438,309,011,684,938,227,853,592,676,440,831,911,777,317,946,896,878,
437,913,026,197,326,408,798,280,548,553,391,369,743,491,326,889,356,970,879,
723,564,550,051,475,417,828,757,152,709,048,056,494,311,363,100,223,938,632,
218,458,754,251,217,244,358,713,847,946,642,068,582,698,245,714,435,794,590,
153,284,243,253,168,163,082,001,943,581,462,716,278,662,753,214,225,326,996,
428,341,883,789,934,114,271,886,175,072,847,795,050,358,719,003,445,522,044,
693,268,636,627,134,388,699,760,069,605,571,553,953,778,658,458,654,217,969,
792,344,095,377,470,150,697,023,296,237,095,630,409,816,052,804,886,492,547,
795,845,775,098,995,176,422,825,119,003,873,520,672,896,372,560,658,750,350,
312,395,380,897,081,256,176,526,853,691,890,796,454,690,256,634,518,437,561,
028,750,933,701,112,772,848,561,997,119,959,285,965,768,067,272,519,659,003,
752,715,849,150,615,497,290,162,793,710,503,151,396,130,833,999,759,690,447,
137,860,748,096,515,296,641,726,213,253,956,994,259,665,487,969,343,744,098,
568,516,640,803,802,662,616,832,557,731,219,844,985,658,287,319,870,314,924,
521,155,979,548,515,445,709,545,339,966,237,690,023,715,326,644,530,265,206,
060,363,182,375,359,716,197,299,404,910,150,697,457,754,028,708,451,290,869,
353,331,470,000,796,866,272,201,946,170,314,871,680,259,461,715,538,050,251,
783,411,043,944,970,035,045,485,013,535,265,032,708,127,777,396,698,069,194,
215,931,637,126,348,900,952,338,341,475,315,148,728,222,897,783,343,098,661,
586,489,095,835,906,757,388,791,447,413,395,692,684,531,352,595,643,289,457,
597,588,092,545,643,124,765,525,956,610,833,849,929,817,797,381,271,075,781,
345,692,542,275,803,755,053,305,616,471,952,219,306,385,757,804,673,844,220,
308,425,516,586,132,827,126,870,237,151,849,073,419,075,447,757,049,000,152,
254,068,660,417,829,843,094,598,564,478,475,839,422,365,791,392,419,101,147,
530,700,101,978,827,924,085,423,650,499,588,215,656,390,229,785,569,008,468,
225,861,107,813,490,076,426,372,810,463,071,006,655,293,377,359,884,000,038,
058,806,189,908,559,394,997,636,207,351,525,776,056,484,706,480,765,863,112,
233,845,652,286,582,981,411,043,584,974,285,312,998,670,201,464,781,021,649,
370,176,945,102,187,381,330,198,379,013,137,237,618,044,575,611,268,970,568,
417,871,109,449,558,867,539,341,971,828,845,639,714,219,575,856,963,469,103,
181,749,269,976,914,401,141,695,202,691,105,582,666,620,133,880,358,493,582,
606,819,670,427,072,096,254,646,773,588,326,381,920,572,708,910,527,533,088,
173,960,872,411,685,713,917,967,801,263,526,586,086,837,746,919,180,814,720,
487,733,937,903,600,904,434,111,681,069,598,555,133,996,619,319,803,650,670,
990,373,767,162,406,815,106,129,771,356,788,573,497,864,439,449,628,498,957,
136,232,298,240,953,409,216,011,684,589,930,777,830,785,413,239,364,553,105,
527,904,550,347,113,191,094,617,784,372,213,066,958,291,361,363,580,274,664,
691,951,368,528,363,446,509,586,725,015,485,966,066,870,495,300,520,096,842,
808,454,586,944,398,589,947,883,781,748,618,235,496,214,413,333,227,533,971,
007,407,321,545,032,908,324,626,813,863,562,754,300,173,838,703,439,022,427,
706,656,520,778,344,887,069,835,931,366,706,624,143,139,109,509,900,045,624,
036,849,396,216,880,418,653,131,940,841,666,965,913,730,332,353,108,744,442,
739,126,237,303,812,555,939,568,042,997,959,245,031,315,188,613,901,474,299,
934,976,899,736,588,849,447,739,128,145,661,654,940,257,478,917,231,052,852,
262,390,279,643,938,976,162,746,253,820,239,126,386,126,056,673,970,991,278,
172,690,752,113,374,809,862,680,425,378,519,917,815,685,914,233,662,469,303,
268,815,733,851,387,496,359,969,753,204,985,208,127,653,517,428,911,026,075,
252,986,872,805,455,144,028,125,465,253,216,240,848,338,619,461,743,273,305,
454,411,748,472,529,947,530,283,944,486,814,575,198,764,639,195,126,603,205,
292,374,797,286,766,590,277,176,957,429,582,543,277,494,755,838,145,051,180,
786,152,304,999,712,439,530,660,050,121,620,993,761,637,730,448,015,716,164,
178,786,494,992,066,019,762,993,103,599,495,846,861,978,177,254,118,783,405,
705,620,379,815,681,153,582,654,551,192,479,411,322,277,949,277,270,154,276,
322,304,855,140,853,948,558,625,734,416,896,607,899,159,784,260,288,577,680,
926,211,053,294,244,105,787,071,490,506,165,317,982,616,876,657,336,031,499,
078,782,053,861,344,271,696,586,277,920,201,574,145,205,996,759,575,400,769,
294,994,025,397,000,377,283,132,587,870,956,018,106,728,417,618,179,496,297,
761,347,136,924,122,327,610,468,851,097,091,039,669,044,303,463,267,514,668,
819,055,225,410,233,129,785,841,467,167,546,568,003,340,139,193,619,891,402,
112,077,585,171,843,986,414,087,531,573,733,592,138,092,469,300,791,340,648,
789,747,041,352,468,274,617,046,183,373,707,042,009,236,456,851,621,079,778,
510,640,924,175,868,817,129,881,986,839,779,113,960,518,383,397,848,651,281,
433,818,642,640,277,426,136,463,378,674,299,561,141,599,840,169,049,914,434,
159,774,673,117,055,734,308,402,431,438,566,262,537,877,330,359,293,504,636,
648,050,358,814,950,229,300,180,796,493,375,029,601,831,516,637,379,682,686,
088,503,492,937,319,734,084,351,472,209,783,756,254,610,697,853,658,533,931,
455,324,414,173,416,503,634,007,007,528,540,752,120,162,415,698,464,361,935,
238,979,403,201,311,355,119,134,174,460,150,986,141,378,924,201,070,022,803,
078,094,996,905,077,855,490,947,230,695,665,272,920,385,823,159,091,742,298,
347,896,002,190,889,351,695,900,923,167,581,088,036,224,758,692,357,183,446,
001,196,353,095,559,895,393,437,955,754,606,953,074,897,206,500,559,721,922,
675,658,044,707,141,422,976,053,171,336,002,886,534,041,774,397,027,085,426,
986,839,821,045,454,303,835,428,600,380,355,148,232,830,253,019,623,293,220,
601,537,325,601,810,393,105,974,912,591,383,242,242,636,625,314,517,524,069,
775,867,915,948,088,216,828,375,967,248,433,830,727,357,400,311,399,057,389,
898,441,057,035,434,583,760,759,412,512,260,038,316,735,553,274,093,433,601,
358,821,881,234,114,806,693,202,694,872,575,331,438,676,136,869,272,410,690,
294,215,299,330,096,490,551,056,545,301,696,317,810,249,173,668,835,036,491,
493,311,997,802,032,208,152,832,461,391,631,918,917,278,476,207,624,770,941,
020,050,777,119,400,760,136,618,303,049,006,332,493,637,415,432,144,444,129,
322,406,815,637,810,421,121,582,779,292,385,822,982,770,367,870,432,862,808,
078,246,548,386,262,320,359,501,228,768,668,709,343,200,264,630,835,494,380,
722,586,245,106,869,148,122,746,811,644,650,580,493,893,089,763,533,673,925,
179,292,654,818,115,453,867,040,710,737,040,222,001,242,010,227,434,130,122,
989,919,830,668,633,624,051,153,671,693,179,217,302,618,542,294,021,513,956,
591,715,584,301,514,576,156,337,786,488,291,083,909,293,782,528,889,048,500,
313,379,481,980,672,295,789,003,070,164,902,187,435,503,409,851,780,295,169,
634,126,203,419,301,232,877,626,648,394,603,802,845,786,203,705,643,821,399,
302,377,956,579,533,041,567,692,001,927,749,757,902,153,437,984,609,869,358,
818,638,091,662,768,227,655,528,487,624,252,415,182,109,722,260,276,008,690,
786,379,376,583,380,160,150,318,716,025,427,105,542,691,623,296,715,121,471,
596,616,120,715,363,450,984,259,343,723,382,988,626,744,014,254,511,255,737,
273,951,701,806,920,680,570,610,478,579,771,713,771,747,587,548,577,628,718,
360,960,162,039,750,309,964,870,964,003,590,631,339,201,701,011,617,067,870,
048,202,647,936,865,740,046,160,321,159,352,505,173,396,907,916,125,421,872,
144,753,285,796,104,395,564,881,656,542,969,837,936,812,442,423,730,888,818,
388,028,257,992,791,529,067,286,201,068,493,681,330,140,995,773,407,131,350,
491,488,080,349,825,269,559,732,221,251,328,535,012,961,022,945,521,034,841,
527,244,585,437,925,680,864,186,031,223,075,139,948,541,600,586,863,611,989,
874,870,032,219,467,990,223,712,733,445,709,626,568,918,564,663,788,648,188,
081,510,671,955,707,456,634,799,905,054,059,127,680,373,854,296,210,946,925,
145,144,678,572,320,105,876,298,414,589,438,743,063,828,561,933,496,240,569,
236,849,859,170,439,449,443,531,850,295,938,720,770,850,372,947,333,769,120,
979,451,572,921,631,043,020,939,118,223,060,257,392,776,736,823,791,434,335,
246,495,827,577,309,706,009,656,149,515,406,195,912,498,303,353,284,408,507,
431,858,562,837,134,363,094,954,490,576,275,032,770,438,784,607,108,982,564,
425,637,761,231,445,044,929,573,324,957,064,240,078,483,749,054,224,104,179,
376,361,849,427,090,348,311,993,205,598,330,295,826,785,415,769,852,045,426,
801,629,573,524,331,264,264,125,816,495,495,936,876,942,114,130,808,861,130,
611,683,294,434,253,835,820,694,735,004,952,626,055,262,325,728,573,441,214,
013,692,866,369,831,114,329,006,364,888,293,454,428,955,747,350,474,424,666,
055,021,972,110,765,250,892,306,349,354,680,877,149,206,959,970,420,199,337,
375,424,557,282,446,881,163,331,677,417,394,633,840,381,936,324,843,330,768,
085,675,513,141,672,577,724,172,065,028,706,158,247,136,399,204,570,488,857,
227,980,279,541,863,223,670,819,989,430,678,015,137,646,975,569,883,305,990,
944,141,047,768,077,299,391,717,631,766,293,445,655,666,263,641,906,461,564,
464,922,629,027,789,853,169,369,940,931,541,554,508,676,267,215,414,255,628,
541,715,507,776,766,736,632,399,986,921,402,974,204,252,697,944,041,791,814,
088,527,739,789,758,561,336,245,606,174,194,624,184,889,511,600,350,269,518,
969,355,789,815,113,249,444,286,957,684,498,136,984,126,244,120,880,709,384,
352,905,099,151,226,439,336,610,500,338,269,093,456,677,547,270,121,052,184,
109,512,106,380,474,162,511,376,535,535,941,189,386,398,631,591,860,253,394,
885,412,187,751,835,295,292,124,993,029,521,178,388,033,281,170,977,325,918,
303,605,028,712,522,202,596,721,881,026,417,281,618,730,596,184,098,713,279,
132,553,437,837,106,405,149,471,275,267,585,452,690,881,477,762,807,001,335,
535,607,997,539,916,519,498,169,930,581,240,157,981,773,809,459,525,485,116,
703,707,399,425,658,630,088,435,282,450,058,966,009,792,519,589,342,210,762,
927,824,184,918,594,753,423,938,333,019,862,312,911,751,449,788,870,875,842,
230,872,942,641,765,831,410,170,013,696,973,056,601,543,360,382,852,944,509,
915,908,005,602,947,126,037,452,352,703,179,496,023,405,384,719,344,480,330,
640,075,682,273,236,689,773,455,014,615,137,537,482,073,152,114,767,168,502,
698,637,767,276,792,844,122,840,568,724,410,223,294,899,137,174,880,570,285,
393,629,275,184,273,439,910,575,522,096,065,327,225,291,052,567,856,248,186,
385,377,623,701,005,248,996,343,754,879,885,661,096,507,280,423,703,035,959,
663,747,673,167,358,571,900,826,591,796,998,496,458,088,960,899,635,151,139,
079,075,541,639,049,542,163,113,213,559,348,724,352,536,630,424,142,209,699,
717,928,263,976,312,410,952,485,402,913,314,888,002,126,752,458,567,537,710,
589,608,869,033,860,712,325,416,470,289,449,986,888,037,811,650,081,489,998,
154,306,052,643,702,638,476,018,150,296,541,036,041,157,958,819,230,326,238,
595,421,384,298,089,382,381,661,082,907,623,248,724,034,362,269,164,688,249,
676,347,554,900,552,340,667,436,687,028,056,868,169,382,324,733,423,994,665,
315,864,042,712,612,263,160,402,023,824,511,600,450,763,031,012,803,523,804,
171,320,934,455,771,918,720,672,211,018,191,314,414,005,185,922,865,187,337,
946,779,327,988,888,098,169,469,856,946,235,550,980,081,072,934,810,151,655,
158,977,664,091,055,498,320,864,127,350,754,067,653,231,802,104,480,889,672,
480,210,447,043,004,416,043,558,096,799,502,906,912,863,967,933,395,173,872,
473,666,358,589,188,901,759,553,790,979,349,046,691,612,885,982,113,577,551,
350,519,286,027,899,406,465,802,465,879,595,186,984,993,513,834,531,340,177,
603,465,691,116,598,193,911,089,169,400,985,817,999,429,958,571,593,988,771,
139,849,668,812,338,230,564,159,218,679,464,995,034,071,465,244,129,404,584,
798,423,262,691,233,906,639,598,011,586,811,509,530,623,792,033,128,079,536,
686,896,136,202,967,646,974,928,492,899,083,849,323,075,985,676,668,449,759,
096,004,180,630,748,943,176,289,362,979,318,455,618,594,696,838,046,958,977,
586,418,519,866,195,662,994,897,493,748,733,914,145,987,456,572,649,209,287,
491,739,408,789,933,861,078,761,256,071,592,881,521,884,280,038,471,553,284,
980,352,394,316,231,625,351,139,658,597,322,589,597,490,560,593,986,989,373,
052,679,736,953,641,899,849,646,452,582,769,653,402,740,548,156,555,876,156,
939,970,040,206,222,995,079,752,914,216,557,830,827,594,466,727,720,720,229,
680,220,662,438,061,047,601,529,511,909,582,233,629,548,037,784,697,630,041,
315,978,603,423,933,167,374,961,041,168,126,718,589,509,086,956,137,613,650,
089,047,282,399,928,167,608,165,037,529,681,514,449,302,611,234,412,111,651,
962,432,937,640,704,925,191,157,763,756,374,208,597,524,691,030,751,056,146,
736,116,823,980,905,207,238,965,938,200,359,459,570,360,940,492,395,772,298,
585,809,744,066,870,866,191,237,215,423,619,843,626,888,762,407,382,173,462,
665,914,787,381,267,741,104,353,742,240,605,083,116,576,012,345,281,107,304,
922,445,049,340,183,902,007,508,439,177,333,264,753,400,200,189,529,300,674,
355,963,426,479,422,710,193,465,483,757,334,087,245,009,969,694,414,111,866,
035,021,110,844,390,505,065,942,918,769,133,588,639,305,097,211,474,424,524,
855,097,847,326,028,842,810,594,566,080,170,807,858,827,837,131,510,580,807,
505,856,096,411,244,926,652,411,470,169,409,358,800,143,631,262,095,260,049,
866,780,890,883,084,466,198,354,094,872,802,579,715,590,071,714,739,211,640,
292,909,834,863,144,999,535,252,106,989,506,174,630,626,485,029,389,446,289,
025,356,152,246,817,301,028,204,228,014,450,692,181,263,564,731,298,995,984,
795,110,805,446,893,886,705,596,100,167,792,889,499,364,549,012,140,713,111,
540,991,187,262,054,178,158,032,970,292,251,177,407,733,007,318,238,690,952,
963,504,746,256,551,381,804,745,470,678,945,257,917,264,341,809,500,925,589,
241,677,648,637,032,888,247,877,251,547,387,365,137,298,119,901,561,873,715,
745,937,284,315,082,322,344,050,467,187,801,247,846,291,828,907,867,013,964,
944,809,158,315,509,473,175,578,707,564,367,440,941,876,588,533,648,695,521,
017,004,423,877,216,094,129,214,917,395,789,150,572,790,824,210,201,466,173,
598,148,496,994,694,394,795,683,590,296,705,586,047,135,965,218,535,416,370,
416,899,108,122,090,084,347,576,328,913,978,986,464,427,312,720,178,399,228,
028,208,032,041,437,101,846,046,726,646,227,187,704,011,180,289,836,024,883,
214,791,297,873,933,035,913,699,367,348,125,266,871,839,181,055,371,550,717,
687,761,655,509,675,685,773,899,900,007,526,996,905,374,646,065,819,063,837,
800,058,485,760,161,723,599,701,989,304,504,020,882,772,895,741,484,323,072,
873,400,644,961,781,474,251,014,392,379,944,843,062,280,776,518,910,387,424,
049,008,197,653,422,540,966,361,117,669,868,810,124,170,313,745,675,839,771,
358,043,056,376,456,729,669,134,499,070,425,837,329,883,039,326,117,299,903,
464,877,492,447,224,250,754,997,109,500,410,187,609,498,513,945,815,906,110,
855,915,564,631,924,395,080,103,909,573,988,332,731,155,548,881,681,226,094,
535,507,685,196,800,178,202,581,573,044,536,817,479,221,260,528,072,722,897,
957,249,858,067,179,047,489,180,922,013,949,400,542,460,822,575,419,014,548,
386,363,113,067,662,936,026,592,882,907,379,452,552,494,224,476,602,988,700,
927,059,178,068,203,540,011,083,916,174,523,109,696,184,289,885,325,645,101,
599,991,466,802,159,784,917,380,468,033,570,735,713,239,184,024,197,278,922,
273,470,082,264,925,572,995,248,170,378,741,019,373,866,470,431,812,669,655,
365,746,728,223,865,219,244,107,645,884,165,039,644,762,281,426,451,778,409,
049,309,412,433,094,477,351,269,101,962,255,841,165,330,832,289,947,042,722,
464,239,075,878,157,059,890,430,189,444,231,492,195,704,949,786,290,219,304,
551,384,497,337,996,538,687,891,656,020,121,050,227,436,900,486,620,171,015,
583,642,143,311,449,157,314,627,602,006,947,314,566,666,130,704,389,150,810,
317,865,951,216,227,977,243,400,735,365,687,477,574,167,724,269,667,930,481,
623,933,387,678,172,980,097,042,667,897,839,888,388,208,752,649,667,225,145,
375,643,382,309,593,970,895,241,180,258,933,645,616,947,906,064,759,575,775,
443,809,093,924,336,224,209,193,252,677,129,338,948,773,952,076,289,063,046,
553,445,939,290,048,737,776,973,507,864,669,486,434,523,579,633,363,311,385,
452,299,930,052,231,260,649,273,251,082,609,445,619,791,498,136,086,662,526,
870,296,829,505,145,743,083,276,154,397,146,720,482,565,886,405,477,672,815,
709,169,268,537,179,173,026,750,065,327,493,164,909,001,184,444,457,226,607,
205,038,155,892,486,231,460,336,023,513,770,877,933,446,738,946,955,683,756,
766,185,935,168,523,661,189,866,860,143,477,707,004,239,938,829,466,667,576,
392,004,872,959,181,721,053,391,073,350,781,500,855,413,452,863,297,045,563,
275,480,062,398,789,943,126,871,747,041,895,676,298,656,364,465,094,205,750,
151,870,714,807,609,736,894,681,681,596,721,156,127,358,328,341,047,996,581,
529,780,302,263,885,827,400,748,994,617,538,884,708,841,008,843,192,553,981,
780,494,396,644,035,254,935,700,421,917,654,772,614,897,788,939,665,311,114,
277,632,206,373,603,667,974,638,791,160,088,155,705,799,369,782,889,204,513,
935,502,953,388,505,389,707,937,465,976,355,294,147,029,333,139,207,733,960,
012,040,390,030,183,664,892,474,776,148,450,388,055,716,395,250,251,860,884,
848,010,405,621,898,516,676,832,954,716,941,305,469,367,753,711,513,597,370,
753,833,794,454,632,375,960,906,506,483,795,077,730,984,574,357,847,235,276,
618,229,084,698,730,985,813,523,687,103,931,849,034,430,969,152,895,870,665,
344,763,723,305,444,056,298,901,891,180,903,001,346,240,979,243,130,145,530,
501,247,238,120,261,701,415,912,158,082,859,952,939,642,468,175,105,555,168,
716,349,217,186,547,566,225,988,670,103,562,626,362,430,598,053,053,929,750,
656,038,717,200,918,906,011,458,350,648,866,611,861,681,464,427,967,614,335,
626,669,150,469,168,975,993,901,029,604,967,684,531,501,810,170,578,558,966,
887,607,657,683,442,755,189,203,086,214,621,911,295,052,712,020,223,335,680,
922,942,665,563,429,670,014,121,615,348,937,272,279,331,594,104,504,230,141,
213,449,169,168,946,312,079,132,955,932,580,859,904,219,059,037,662,427,783,
400,117,598,903,963,152,101,371,207,474,716,795,108,547,429,333,435,963,231,
369,706,039,841,619,851,531,885,578,361,012,100,203,374,266,644,778,052,681,
292,360,191,715,273,235,792,829,179,387,633,090,817,794,465,755,545,339,797,
931,697,378,270,281,559,016,357,726,798,585,033,823,676,440,109,559,134,915,
188,775,449,586,987,507,808,286,008,444,975,036,300,431,015,621,073,159,181,
613,633,112,350,111,874,378,055,736,018,555,534,604,543,512,557,666,808,778,
765,496,529,115,202,650,178,801,580,002,327,597,346,065,824,509,590,786,658,
602,752,865,070,815,459,629,857,249,972,305,645,964,736,168,427,937,662,953,
292,724,408,092,191,586,726,192,262,595,720,531,989,300,140,661,445,542,729,
472,886,739,773,424,958,131,886,803,160,865,736,572,219,904,220,254,526,588,
320,411,443,078,163,945,842,129,305,292,204,568,414,907,191,637,528,567,412,
635,978,827,239,260,962,232,544,733,261,362,158,769,767,736,936,289,734,140,
428,045,767,922,765,448,624,444,258,428,777,977,439,708,903,733,596,497,433,
516,737,146,979,375,976,908,769,935,599,290,887,150,208,753,714,869,207,044,
860,408,404,135,715,366,521,587,804,891,458,109,993,596,928,217,810,696,878,
529,561,408,140,582,681,546,938,979,007,460,572,443,243,804,374,732,925,440,
784,291,138,322,724,947,950,379,358,432,495,108,619,826,499,607,828,964,951,
904,203,562,396,267,540,999,725,089,589,842,131,534,657,692,112,898,760,792,
396,733,986,070,655,641,341,257,373,180,830,386,427,431,003,139,466,942,448,
953,913,459,534,516,810,386,445,732,603,712,377,621,078,766,366,053,292,900,
776,779,198,325,758,345,642,564,871,181,520,772,830,463,301,105,675,374,082,
737,087,840,213,430,043,219,777,025,451,795,153,540,086,531,885,918,560,377,
834,192,204,479,222,590,796,118,453,577,622,354,263,025,848,698,640,781,019,
160,847,128,187,681,094,607,958,365,442,512,223,569,053,939,317,439,963,435,
113,396,906,235,516,023,248,531,152,706,710,944,226,663,412,425,058,190,386,
081,825,013,191,248,923,177,119,617,134,437,353,017,588,149,290,588,890,491,
191,031,740,325,303,988,602,909,792,928,986,596,563,740,229,672,577,649,496,
265,482,985,411,625,199,389,336,883,067,749,306,992,682,490,695,025,392,150,
722,374,465,431,370,633,285,369,398,242,937,503,127,655,754,116,929,074,410,
562,080,609,652,626,790,488,136,651,871,300,868,881,952,314,883,808,103,372,
761,194,318,888,684,462,258,805,534,437,509,166,827,599,946,443,509,235,888,
037,345,497,040,195,948,204,520,070,104,334,949,712,847,716,201,618,502,806,
641,491,429,643,955,162,670,382,418,805,395,129,840,425,000,898,629,005,899,
442,659,793,640,218,028,117,492,705,967,000,326,220,120,909,667,344,730,715,
069,970,216,825,828,627,954,031,508,411,122,649,847,524,061,510,712,887,369,
383,083,302,142,635,221,492,250,696,423,563,220,982,556,313,753,430,284,532,
722,821,607,175,422,624,378,639,939,463,956,730,875,995,077,307,933,681,276,
032,218,288,513,819,556,178,059,751,250,139,967,219,617,496,435,930,492,739,
004,631,194,807,593,579,994,344,079,521,986,433,692,240,674,500,851,168,084,
440,152,111,033,663,978,075,524,061,267,423,361,185,488,244,150,625,877,745,
957,250,683,387,953,672,212,467,947,392,193,210,969,792,410,789,629,014,498,
947,900,035,185,021,837,580,829,225,856,430,077,658,822,641,165,979,998,052,
182,008,513,174,198,902,006,735,950,392,233,477,351,576,859,357,076,412,364,
182,796,920,724,816,934,479,639,852,979,426,370,377,403,998,582,418,507,812,
439,417,730,169,803,395,212,274,257,509,014,976,941,506,091,783,475,119,402,
077,890,682,741,365,902,783,001,649,034,441,990,202,196,980,321,838,545,937,
165,920,179,651,626,310,466,332,454,532,410,633,483,397,088,831,174,955,352,
204,553,965,314,409,864,720,512,066,962,355,788,276,503,174,231,320,257,077,
547,116,553,895,973,325,151,973,928,535,058,891,201,079,288,087,192,123,893,
120,774,297,648,008,778,331,828,372,387,928,211,943,002,573,882,277,423,650,
594,481,306,035,359,554,092,959,497,148,401,735,051,413,071,209,750,505,598,
563,076,245,728,397,353,841,548,529,879,322,882,425,112,569,301,388,936,518,
801,028,172,171,689,641,172,421,975,287,727,971,489,510,334,413,156,235,056,
650,954,587,215,914,091,633,960,635,273,771,213,157,976,027,157,693,716,405,
127,451,865,201,336,915,124,991,305,600,430,290,850,955,370,840,213,347,146,
151,671,980,171,754,334,127,632,274,952,789,266,794,748,535,026,833,555,010,
669,733,120,588,555,876,281,732,810,202,081,290,583,143,392,694,399,369,308,
249,024,626,590,085,932,499,685,102,904,606,520,087,309,781,885,925,019,207,
293,215,494,153,568,406,732,315,799,026,290,943,056,672,310,851,834,835,346,
916,486,312,831,929,236,513,080,506,390,815,836,703,960,337,784,727,270,416,
238,509,256,596,314,857,330,062,089,363,759,065,278,433,022,099,311,473,624,
620,446,868,483,553,013,238,107,821,024,983,164,457,305,973,524,511,422,587,
443,874,200,693,877,473,144,240,946,250,761,786,987,240,246,453,806,016,211,
704,520,839,454,447,763,847,234,382,780,165,310,452,707,450,469,337,060,900,
778,654,705,780,904,878,635,584,104,450,907,886,441,230,794,510,239,585,643,
995,341,411,086,737,370,734,296,932,607,414,597,514,252,148,867,575,824,311,
091,787,782,305,003,867,617,357,428,199,068,029,280,479,436,535,245,842,366,
482,261,651,019,948,430,111,933,537,633,421,953,515,545,098,075,109,102,433,
059,718,933,504,464,715,246,183,060,645,381,462,731,050,010,077,498,904,454,
222,501,401,964,840,747,922,106,476,879,478,761,769,798,898,538,174,276,773,
713,701,303,047,562,905,988,506,939,871,276,499,920,868,723,594,560,687,769,
187,635,320,397,118,580,715,317,458,533,872,011,508,283,465,151,036,929,475,
537,206,309,241,009,102,707,963,548,251,379,643,197,081,175,096,861,516,214,
274,241,569,688,972,950,803,047,855,811,410,484,509,415,091,218,631,711,216,
232,428,482,530,768,647,501,568,058,324,162,210,388,539,200,867,965,135,138,
257,194,025,849,105,703,625,139,840,916,088,512,189,720,839,632,879,151,334,
307,215,708,179,223,026,131,092,979,270,202,054,593,676,834,279,224,644,294,
713,230,307,313,423,764,372,363,395,714,453,473,668,750,884,163,021,425,871,
780,533,337,669,978,505,185,966,935,546,278,280,220,598,799,791,211,456,168,
027,813,554,299,392,521,381,225,933,515,614,117,858,638,485,936,468,377,564,
554,016,027,152,887,943,581,640,984,361,773,612,648,538,387,957,853,512,266,
845,580,089,125,733,129,994,011,765,242,680,839,233,720,822,101,581,190,829,
404,537,466,593,743,844,033,619,431,911,917,528,298,190,768,883,436,105,736,
874,159,846,987,314,786,870,880,066,266,889,002,053,942,520,786,523,120,819,
314,164,277,460,120,880,893,013,852,780,646,042,773,861,981,388,346,911,967,
967,650,410,306,098,904,715,897,411,954,216,311,348,642,344,206,205,711,909,
370,555,284,747,058,073,858,929,367,806,224,562,942,450,315,942,991,338,279,
972,434,813,040,203,433,340,330,186,465,370,694,795,767,885,703,385,557,178,
821,698,523,969,610,885,718,204,989,056,005,117,799,060,661,795,835,426,840,
857,397,092,098,204,417,141,261,348,123,399,682,591,940,679,311,614,523,646,
453,618,165,761,097,820,677,204,345,813,417,267,729,961,125,169,700,085,512,
235,573,100,173,347,131,712,822,772,499,571,244,661,041,690,583,521,292,947,
399,462,855,027,753,518,042,488,294,354,740,308,804,324,160,224,315,135,871,
931,037,487,771,790,571,368,159,300,348,737,641,065,051,840,105,868,142,118,
055,031,559,522,376,836,852,153,928,256,434,880,224,884,857,116,269,095,367,
651,363,179,069,349,612,685,584,435,729,503,301,753,379,361,406,729,524,791,
756,752,353,219,069,003,674,688,836,328,428,735,082,089,597,620,862,758,150,
367,807,354,860,561,680,094,502,842,641,148,956,916,101,683,889,054,617,554,
035,911,070,101,411,943,944,794,510,902,091,869,995,141,690,270,962,798,319,
225,594,914,190,206,445,331,878,476,951,667,952,740,147,972,800,077,907,813,
294,659,285,100,796,650,655,794,173,246,059,388,032,766,147,783,079,381,423,
367,027,685,294,600,817,322,603,188,235,232,061,370,315,814,302,595,003,220,
872,299,895,654,400,293,297,627,176,697,239,744,970,162,358,504,736,870,855,
900,097,629,140,990,859,177,056,628,694,234,513,365,511,889,942,799,944,105,
211,345,814,579,271,142,978,701,169,163,458,275,178,430,329,582,676,926,520,
599,653,173,925,735,859,000,374,388,869,707,164,475,547,826,799,292,148,260,
734,909,058,872,430,633,486,838,518,676,689,521,805,806,045,718,493,655,620,
391,215,241,308,489,711,009,349,875,493,749,465,759,230,072,494,193,725,445,
620,247,547,894,063,074,196,339,606,968,389,622,087,731,625,492,711,631,636,
801,026,986,458,019,477,520,978,542,401,638,699,733,033,869,305,370,127,058,
432,370,796,420,289,243,262,438,856,072,897,424,481,010,470,804,087,202,154,
159,048,022,199,527,493,758,535,204,360,962,674,886,108,171,032,058,647,462,
670,165,305,498,106,353,731,449,299,085,513,969,008,399,695,499,092,116,719,
437,408,841,855,320,511,767,492,997,769,021,625,535,971,603,365,463,493,295,
146,418,023,079,770,906,694,416,444,094,930,913,296,852,611,283,535,646,942,
025,673,252,305,034,786,918,444,849,004,127,538,427,689,076,196,345,598,957,
374,600,604,975,287,475,898,723,317,428,708,280,696,565,816,869,239,595,561,
798,233,848,671,085,197,902,704,927,282,200,251,557,305,917,796,115,745,874,
472,969,838,370,175,680,161,762,367,938,270,714,605,982,493,111,247,871,971,
260,307,918,451,880,938,027,413,858,776,697,688,927,347,229,388,102,992,013,
038,334,238,738,625,080,031,032,129,974,514,733,089,705,291,401,115,547,721,
849,494,334,506,935,822,363,140,543,034,187,234,405,247,686,974,802,656,144,
969,000,678,653,796,624,953,767,303,637,873,021,386,379,841,708,722,066,908,
717,809,956,051,360,461,778,203,672,581,852,534,064,571,249,837,223,506,285,
896,086,608,113,179,763,179,994,537,079,498,410,516,447,939,165,554,474,514,
818,761,202,951,256,118,193,279,693,895,490,379,686,319,162,750,264,568,864,
160,704,670,698,861,321,410,620,233,028,068,629,428,611,633,596,570,286,998,
910,607,126,454,954,999,514,069,953,212,505,496,515,131,953,821,137,002,466,
347,976,173,968,361,516,618,466,755,695,034,634,533,577,192,657,660,954,951,
213,615,885,072,999,707,157,853,859,385,070,654,500,206,054,064,809,149,932,
892,121,261,520,100,827,728,621,236,000,301,341,816,131,487,270,624,216,828,
905,186,976,509,460,577,933,882,759,987,215,577,215,857,698,289,236,384,759,
273,102,400,487,128,155,456,921,215,503,619,052,005,283,189,957,899,297,548,
866,012,776,887,816,997,943,369,508,927,216,991,757,406,594,202,892,396,569,
775,082,826,867,253,464,895,523,109,265,356,638,653,783,309,374,039,660,365,
228,957,997,251,970,115,742,819,085,264,274,421,278,138,984,746,492,762,861,
244,228,921,112,650,337,359,807,464,859,377,729,831,786,377,538,238,136,862,
989,657,225,926,874,882,604,656,747,517,837,922,359,953,934,155,640,637,699,
902,531,215,998,471,925,406,334,830,328,053,680,456,291,611,387,983,408,028,
325,236,653,808,269,869,623,990,055,978,754,532,934,646,483,595,520,033,256,
422,029,932,761,638,059,900,922,860,168,273,457,370,798,597,176,144,743,162,
176,167,962,628,426,063,567,168,409,214,295,988,985,306,765,141,983,666,864,
670,226,681,791,527,758,274,445,982,159,124,452,876,094,398,789,335,603,260,
601,549,377,951,566,595,878,796,118,729,166,283,398,026,517,417,302,545,144,
044,290,405,024,869,484,696,795,006,389,720,954,110,862,169,653,252,656,416,
941,332,035,689,246,437,395,477,940,440,667,035,185,607,076,746,172,108,033,
290,157,598,419,798,088,830,114,635,289,969,427,573,207,946,463,089,124,916,
962,558,124,121,403,682,906,172,081,431,327,320,216,544,918,067,969,171,489,
884,826,574,657,561,278,957,687,061,478,597,854,642,960,722,778,329,666,895,
235,682,350,166,052,528,582,759,737,175,243,293,463,545,291,899,243,211,110,
248,839,219,511,700,043,882,814,194,894,362,917,524,780,145,038,278,999,169,
259,229,809,849,837,133,409,806,585,140,612,399,759,772,016,852,100,412,236,
433,843,412,112,385,796,830,460,121,503,712,176,331,813,545,389,200,306,242,
972,106,855,399,231,940,700,207,102,540,862,766,229,194,049,565,768,277,529,
584,037,903,383,203,295,514,921,988,129,996,462,081,035,573,022,233,182,780,
324,640,907,125,534,961,291,699,848,710,566,658,523,459,214,562,791,218,599,
561,523,799,366,627,887,245,808,886,736,032,205,106,086,061,321,628,682,609,
379,328,741,623,743,966,261,961,281,585,595,237,822,461,451,769,225,051,942,
197,319,343,603,813,496,958,473,717,020,702,986,433,033,494,747,618,796,738,
183,414,832,040,824,553,060,635,243,505,658,824,683,789,041,457,237,351,311,
128,864,463,427,275,808,318,433,855,013,728,768,814,298,560,048,378,804,359,
823,678,525,830,917,669,182,503,490,238,974,275,465,425,537,737,767,061,160,
202,250,561,734,368,984,077,788,703,502,954,967,479,899,401,498,937,777,557,
021,793,500,992,977,851,993,271,818,546,283,261,172,201,765,371,975,449,787,
070,195,727,321,160,408,369,752,438,756,553,643,382,646,459,096,009,800,097,
627,905,567,270,070,887,114,320,812,313,841,816,157,038,478,647,462,480,363,
957,372,371,911,961,437,393,880,175,157,878,986,092,587,907,032,523,731,375,
447,653,516,837,827,022,641,732,208,545,054,922,573,990,688,216,406,240,451,
529,457,743,583,414,347,689,660,229,800,068,023,503,550,051,067,117,292,858,
521,953,483,439,352,250,348,304,550,633,530,050,797,464,579,875,471,570,511,
089,166,625,961,330,411,281,847,779,973,974,404,124,273,169,212,865,300,756,
414,671,962,262,699,002,539,333,119,206,024,565,079,533,215,160,739,234,858,
118,233,747,663,649,352,025,583,995,708,057,910,549,412,913,754,485,793,756,
575,460,949,519,406,821,619,106,103,282,661,329,268,937,935,635,040,209,640,
002,752,749,337,817,231,412,301,754,373,411,742,711,627,945,467,365,984,301,
029,218,234,853,793,311,326,982,303,371,934,654,436,212,395,909,809,237,396,
663,702,326,250,306,588,526,682,621,809,568,584,298,204,469,645,862,865,527,
324,111,338,026,429,488,908,948,343,348,319,551,874,062,141,661,702,408,325,
115,029,510,549,158,624,293,375,169,864,544,233,022,958,427,762,620,709,259,
218,661,940,788,848,199,793,568,420,819,907,957,940,128,080,204,164,454,539,
244,307,202,798,519,133,791,043,208,636,062,575,922,070,719,572,193,320,844,
339,025,274,080,652,622,515,568,262,699,239,473,361,596,760,498,956,994,264,
078,337,814,453,507,846,142,847,524,269,545,624,440,016,000,643,686,819,212,
220,737,780,841,539,115,344,722,955,162,306,781,105,917,142,663,061,902,166,
637,347,400,589,292,376,583,275,394,287,127,931,271,437,878,089,788,775,652,
859,601,838,326,059,798,256,320,087,066,160,680,129,554,481,744,143,868,012,
505,918,058,087,893,710,199,251,543,575,353,126,928,116,408,892,245,023,246,
887,600,752,715,294,717,799,947,821,398,751,110,418,379,896,187,815,926,255,
403,968,312,896,807,421,021,804,524,261,853,461,464,872,068,110,473,348,100,
752,358,147,659,387,670,621,153,787,663,898,708,679,454,992,058,265,530,752,
810,446,080,075,627,091,854,282,451,879,092,896,743,867,436,898,503,560,550,
497,132,403,197,917,019,123,604,957,439,650,042,516,272,377,365,048,834,364,
829,414,203,672,275,836,201,643,442,779,679,915,822,175,730,028,523,982,677,
376,024,431,523,038,773,939,485,991,232,885,734,986,314,363,936,654,400,918,
892,091,116,828,804,145,383,982,483,713,566,010,798,561,510,186,173,161,342,
553,160,553,838,376,829,852,175,205,353,017,712,609,041,318,542,739,573,078,
506,273,447,624,111,819,759,023,133,426,975,329,792,635,511,543,418,731,377,
459,275,883,885,477,137,656,313,082,283,780,156,895,674,308,083,397,268,424,
321,108,404,707,224,569,638,788,312,019,394,384,561,989,497,167,889,658,569,
639,536,942,005,764,267,911,354,900,459,918,494,992,194,876,936,575,387,294,
232,404,186,451,980,943,693,575,409,540,348,465,513,489,750,405,122,872,986,
628,418,951,189,313,838,440,119,636,917,574,882,484,994,451,118,363,790,578,
254,480,040,091,266,429,268,683,005,828,877,618,279,682,724,176,076,606,486,
844,269,264,323,798,989,994,889,613,579,807,825,515,010,788,700,189,944,761,
869,009,998,849,443,679,521,707,628,367,761,160,917,091,686,722,064,022,226,
962,413,520,017,931,414,824,740,517,377,048,696,284,589,396,170,040,811,182,
057,751,631,195,026,609,814,388,316,543,072,051,763,463,679,137,680,363,678,
160,932,167,581,781,351,639,125,733,286,827,169,418,684,758,169,080,467,946,
214,404,617,305,086,646,578,723,466,786,201,365,462,155,044,697,139,196,073,
171,059,885,567,287,596,498,294,577,506,651,408,991,260,279,091,041,257,464,
594,100,705,109,585,707,612,017,658,179,265,096,485,572,476,193,382,020,319,
180,699,644,290,612,076,217,632,964,593,845,536,220,878,387,571,126,606,752,
384,161,835,778,326,392,244,606,161,317,826,641,460,755,304,495,016,752,718,
536,864,446,634,036,980,127,977,261,097,137,609,686,367,846,951,625,485,616,
196,680,339,453,371,609,165,151,941,015,462,476,466,226,993,087,256,342,984,
896,467,891,000,963,296,670,483,536,321,534,546,794,730,624,287,848,719,779,
387,532,343,417,771,310,541,413,227,901,884,592,787,574,873,654,268,328,430,
653,384,997,248,999,278,868,655,743,681,738,926,899,582,144,667,124,696,983,
952,412,078,840,412,714,762,392,904,578,538,513,822,543,742,418,693,416,016,
044,100,558,314,579,476,029,387,076,683,925,696,333,258,850,909,539,444,000,
199,085,618,425,174,339,521,691,297,818,368,872,967,569,175,899,981,218,521,
289,060,494,352,851,493,386,870,036,388,021,167,386,752,323,291,384,138,027,
563,837,936,875,765,610,835,248,408,509,030,351,157,536,937,521,708,437,704,
680,408,068,428,747,240,197,935,375,911,372,414,965,304,862,481,492,016,189,
153,702,763,602,662,656,029,952,105,390,889,196,973,449,077,326,506,629,949,
403,729,899,713,981,010,282,988,615,961,274,820,070,314,023,465,034,874,517,
220,832,683,698,958,162,541,850,563,461,892,879,679,596,458,460,692,363,559,
412,812,676,543,646,375,261,483,964,127,340,124,481,695,031,412,693,905,762,
834,325,878,066,911,568,111,912,261,579,567,062,977,889,251,612,156,312,518,
270,255,750,565,173,165,813,754,102,042,639,761,149,226,056,688,265,083,264,
906,592,907,614,066,478,546,946,377,292,582,379,320,907,115,939,124,824,746,
096,127,910,190,548,953,465,521,826,130,622,710,779,172,353,363,647,710,412,
441,146,397,480,416,050,334,506,547,961,801,809,439,618,141,650,940,635,847,
589,574,764,986,790,889,368,713,959,502,562,508,377,807,290,310,148,444,529,
682,457,441,538,249,646,489,167,822,338,705,852,422,119,727,051,228,509,447,
283,407,079,052,257,571,011,327,656,283,990,497,344,297,952,198,015,203,757,
517,061,865,236,239,451,750,989,874,922,903,001,870,535,993,951,673,369,840,
627,591,865,363,859,739,504,900,618,132,651,793,487,592,960,567,675,749,366,
769,193,095,612,746,013,287,638,089,563,485,481,135,396,995,694,135,935,110,
861,159,372,628,918,315,937,192,944,363,234,818,372,042,843,657,282,990,211,
689,823,531,453,071,189,799,692,830,326,942,417,236,965,489,177,641,643,438,
653,282,052,830,417,292,672,304,810,770,659,827,607,520,960,731,139,883,379,
995,196,527,492,623,189,449,191,718,700,332,418,370,639,673,536,186,787,382,
530,937,798,984,819,629,761,393,983,611,717,768,720,888,577,505,128,654,631,
547,647,495,765,080,139,801,304,250,625,117,468,668,524,230,602,355,304,738,
635,133,159,299,176,267,314,157,369,597,332,354,390,766,823,555,565,906,928,
595,734,300,874,323,595,901,910,906,436,289,822,787,098,692,635,114,657,494,
994,334,772,368,187,459,915,765,503,421,480,283,924,518,021,562,440,359,690,
199,030,273,396,214,264,296,551,037,221,740,942,504,328,724,555,132,722,702,
792,215,306,165,277,417,173,165,057,041,804,560,466,570,025,093,552,826,975,
763,138,523,929,010,021,369,079,489,124,234,894,549,008,640,307,789,449,462,
233,696,369,031,458,908,601,115,555,159,941,539,978,045,036,667,709,129,484,
412,628,440,146,979,185,342,957,877,598,139,397,062,830,150,712,159,928,704,
046,472,582,586,303,759,076,637,511,546,239,129,695,650,595,837,950,810,491,
961,332,785,928,856,066,036,411,540,659,461,090,658,946,613,125,054,687,983,
263,037,471,954,012,878,811,369,650,478,964,392,687,372,677,392,250,880,969,
743,591,184,763,661,470,652,831,008,567,561,085,017,036,211,842,038,763,232,
970,542,947,111,899,726,706,452,472,157,116,505,869,089,776,033,179,959,307,
634,349,927,451,447,217,130,203,573,785,249,905,005,791,893,548,322,245,176,
109,647,970,065,485,761,277,888,729,165,461,844,380,905,392,999,758,918,099,
043,315,513,640,438,034,196,312,159,036,161,268,773,447,415,858,524,076,395,
375,432,990,834,721,738,462,797,687,380,518,346,824,668,061,721,748,304,164,
717,675,940,494,314,519,596,304,639,725,952,643,974,247,700,210,253,729,640,
175,108,533,569,826,652,567,567,378,029,305,102,973,553,450,601,975,772,505,
393,910,477,544,965,509,320,719,198,277,053,435,298,563,888,652,656,064,133,
764,270,897,662,643,595,503,367,946,468,809,212,614,330,537,978,549,359,354,
740,686,954,880,827,828,970,909,409,998,935,659,931,659,753,286,605,980,235,
287,971,811,521,148,434,278,484,368,342,951,301,440,026,764,669,232,202,630,
330,798,674,649,316,814,003,734,185,451,460,168,552,149,146,022,004,369,482,
374,506,578,860,192,808,295,721,207,708,004,943,141,378,141,899,100,171,680,
924,386,606,915,153,982,082,680,132,292,835,493,613,905,519,318,361,996,017,
793,638,952,719,873,048,257,004,888,486,754,562,396,550,543,912,255,950,401,
302,755,175,079,913,491,299,751,477,793,221,457,835,519,000,497,205,325,322,
945,573,454,484,992,332,610,815,947,008,582,009,998,842,865,752,194,139,433,
695,208,114,776,124,803,365,621,424,131,792,994,943,209,535,401,619,440,258,
616,541,354,281,013,638,950,385,941,876,214,403,363,734,406,107,260,704,944,
071,298,397,482,712,684,476,185,171,433,121,556,125,623,286,355,496,998,844,
747,756,040,935,776,010,699,109,971,009,027,936,546,384,482,144,894,220,207,
363,112,416,818,699,610,123,850,599,416,683,651,083,349,426,159,143,574,870,
912,698,409,952,919,383,840,905,295,931,803,815,488,105,266,151,474,467,054,
733,234,437,901,827,172,927,062,067,382,931,051,374,403,107,639,594,781,343,
831,362,936,072,840,035,493,658,623,020,974,136,246,770,252,671,292,610,930,
024,190,313,026,717,401,797,085,421,634,989,732,861,075,880,720,507,027,124,
787,100,407,537,247,371,174,562,784,314,116,884,394,482,305,411,197,063,300,
222,717,551,795,642,817,339,209,988,030,875,517,388,199,494,678,010,875,995,
223,043,930,292,638,831,202,535,336,689,245,722,192,915,925,535,995,548,990,
674,003,634,155,308,877,467,267,679,225,758,232,901,484,168,797,237,829,881,
353,982,677,509,209,950,223,009,586,507,549,891,416,546,071,742,349,732,032,
341,123,024,344,691,614,247,390,411,502,231,027,664,063,181,404,846,252,491,
404,106,201,079,313,381,352,638,501,184,468,632,309,043,740,383,546,717,663,
679,440,099,794,129,416,730,266,269,575,132,484,905,303,312,182,714,087,694,
114,722,228,290,634,900,592,730,188,877,815,103,379,006,679,147,059,269,832,
309,093,113,882,906,363,878,152,428,036,654,327,947,111,159,740,986,677,071,
793,200,016,160,910,917,704,390,831,586,935,297,578,732,563,352,368,233,228,
265,265,353,720,509,849,323,488,336,085,993,226,353,765,163,867,824,916,563,
430,219,453,900,612,856,868,842,786,123,728,157,848,540,939,317,636,270,443,
609,454,153,080,926,624,066,080,289,703,796,997,548,488,169,325,943,457,426,
983,182,544,069,620,348,435,188,937,842,425,381,068,605,183,956,993,078,774,
455,049,117,644,459,717,408,268,377,735,161,691,503,788,071,347,890,264,613,
044,394,650,103,918,721,933,143,934,704,337,428,121,241,961,665,363,917,275,
572,165,581,674,417,862,594,041,287,121,224,856,940,362,807,923,738,677,743,
000,562,113,831,962,366,709,362,090,448,101,051,750,619,932,459,107,418,683,
736,320,761,256,150,926,282,504,982,930,070,541,149,526,368,125,445,637,975,
721,136,031,318,825,513,803,785,488,878,940,520,078,406,627,679,759,422,506,
654,928,081,338,877,677,119,100,867,034,931,363,851,272,281,327,108,789,815,
919,942,767,516,416,737,865,788,006,588,199,505,818,982,780,211,104,457,941,
541,055,004,999,060,272,080,904,427,374,219,372,698,077,340,675,886,641,878,
452,007,010,950,436,198,350,879,779,682,031,393,807,140,731,484,827,227,334,
857,179,483,679,009,925,720,494,602,254,351,423,755,256,139,529,961,103,969,
489,164,783,347,034,500,756,567,316,926,060,422,443,925,346,826,968,406,758,
810,201,891,941,103,014,229,173,459,724,078,847,625,645,924,752,705,062,711,
461,675,805,507,566,013,393,445,406,364,155,394,521,843,858,123,961,744,905,
121,749,287,054,254,273,707,271,253,027,951,865,890,746,491,017,722,587,734,
016,303,926,273,366,540,440,821,902,019,682,132,668,186,628,375,056,972,199,
948,380,761,216,335,712,767,228,640,160,689,419,987,716,746,776,873,331,864,
327,695,713,867,841,366,155,651,376,763,186,600,357,346,339,870,866,513,297,
357,865,026,796,014,839,465,554,977,685,663,163,781,686,552,770,560,481,511,
819,359,342,365,956,610,370,261,236,989,668,972,189,719,492,493,428,421,268,
663,647,603,495,679,953,294,287,897,049,684,287,478,604,666,968,060,844,944,
473,476,546,783,389,443,539,075,125,533,495,360,928,386,687,903,473,567,766,
472,433,933,899,369,934,831,793,967,630,108,461,683,461,753,852,968,492,273,
149,469,492,804,065,279,786,463,568,775,293,102,823,712,407,680,158,392,949,
808,611,367,451,921,754,054,292,236,688,748,541,422,459,863,027,889,633,129,
076,497,824,557,319,243,396,528,244,017,506,931,250,460,191,787,533,552,993,
700,113,721,681,118,847,776,217,056,154,204,590,381,545,115,970,243,235,613,
050,009,726,591,376,291,338,121,901,579,734,457,723,624,277,512,799,208,663,
228,875,611,548,384,656,190,036,261,685,733,155,953,647,416,129,453,394,322,
216,639,230,898,642,666,341,076,253,840,663,134,537,699,176,063,890,303,312,
940,606,481,540,395,122,626,018,769,605,366,696,979,978,324,152,868,524,884,
843,768,087,977,831,555,473,961,662,360,901,895,405,768,050,885,216,558,806,
333,688,902,301,622,208,614,498,771,176,434,496,314,140,405,392,630,193,740,
246,673,223,465,737,948,555,746,334,450,590,149,148,226,265,486,422,240,402,
198,124,491,509,939,947,804,507,247,372,541,117,353,626,421,042,363,142,707,
732,433,824,187,512,267,906,705,373,175,087,285,574,475,243,050,969,492,414,
900,828,079,083,213,068,546,559,964,745,071,064,175,939,165,064,482,934,454,
188,852,129,926,220,220,591,982,321,774,002,625,512,832,468,456,293,755,027,
013,465,013,024,695,274,791,176,106,337,188,303,359,739,717,325,299,125,450,
099,302,461,925,600,742,711,567,080,286,641,980,499,683,908,750,026,451,117,
818,977,407,793,475,183,692,901,876,696,701,803,407,118,268,622,863,559,080,
014,909,687,004,885,064,222,941,242,415,296,910,432,939,363,726,300,534,562,
907,825,907,783,531,167,146,818,432,887,756,489,703,422,726,452,014,017,772,
398,901,267,031,143,170,680,219,474,338,362,109,250,077,681,958,008,929,272,
018,455,246,252,281,891,533,941,921,387,933,561,181,904,009,957,193,381,839,
819,130,851,554,049,994,234,508,370,185,487,070,137,605,757,996,256,512,470,
823,554,337,057,601,562,072,560,380,921,707,834,929,747,310,284,463,597,241,
097,568,466,181,665,515,712,489,328,103,440,335,667,816,663,502,239,997,592,
257,917,889,760,739,182,207,261,305,199,487,582,209,020,332,113,919,667,396,
822,268,110,865,116,337,633,161,232,943,800,676,794,528,451,259,831,127,080,
654,468,490,345,084,647,423,956,006,913,712,634,263,706,825,047,639,033,890,
639,468,468,525,939,310,700,820,880,512,290,144,110,938,108,304,914,553,237,
905,494,518,467,393,516,449,248,735,891,422,125,623,488,173,652,894,419,252,
020,770,591,242,341,616,734,358,031,408,670,986,692,306,535,007,735,172,317,
543,414,319,110,976,483,130,465,271,853,917,842,472,849,846,986,907,322,159,
851,511,085,670,475,430,684,762,481,378,615,502,396,548,663,758,446,114,845,
154,982,640,817,975,747,625,371,183,400,327,849,579,956,276,131,170,814,404,
902,393,070,910,604,898,092,639,076,817,848,884,876,673,597,719,583,285,391,
177,718,641,576,749,647,103,620,400,734,401,850,350,285,382,691,076,681,753,
153,231,111,244,580,922,813,462,598,156,473,731,956,877,317,429,542,553,113,
854,048,007,380,253,470,684,783,921,327,262,588,036,645,801,929,393,730,817,
297,026,343,626,544,921,591,485,285,239,388,087,624,895,224,393,403,985,295,
601,726,728,447,072,576,802,408,174,463,610,109,249,733,298,626,752,831,271,
727,099,115,474,906,542,625,790,840,230,082,112,378,015,739,812,312,160,493,
500,940,631,428,352,029,481,799,178,904,230,524,101,909,509,049,490,216,830,
751,326,094,788,962,071,864,715,347,412,113,503,484,820,806,257,011,384,371,
539,574,958,256,898,043,305,488,972,217,541,970,225,575,344,699,699,994,998,
423,506,815,519,951,419,089,005,113,789,069,687,132,481,066,399,104,441,228,
653,650,948,033,541,959,149,736,053,955,530,598,977,466,802,639,189,322,539,
930,658,350,799,445,556,893,261,381,610,489,887,140,148,040,558,339,785,624,
960,728,167,412,084,110,677,830,448,289,638,315,591,552,064,326,590,240,599,
978,587,152,154,446,324,056,577,822,672,893,410,665,292,487,365,527,369,806,
028,443,500,655,909,777,866,226,153,399,373,057,897,459,360,673,212,705,012,
991,156,538,840,525,315,699,964,051,510,439,834,202,163,689,692,170,152,496,
926,456,039,879,924,790,783,637,413,243,673,222,338,638,400,582,203,111,849,
470,522,594,854,125,152,294,300,563,215,425,492,841,719,797,533,664,596,876,
099,007,881,934,159,876,044,578,410,022,724,762,033,074,355,019,949,711,906,
126,828,572,046,683,638,012,388,754,886,891,293,594,548,146,151,891,609,172,
178,251,167,673,210,794,149,253,119,232,714,552,799,928,620,026,978,706,500,
643,848,258,236,345,719,522,944,207,291,723,491,203,598,515,250,343,085,887,
736,506,079,622,618,323,750,532,972,932,386,212,216,150,654,656,506,703,683,
657,799,171,030,876,876,572,672,424,064,184,973,527,466,134,714,470,902,745,
281,964,336,595,687,102,466,160,442,729,337,599,445,686,958,874,244,238,511,
134,894,641,987,411,503,006,010,069,934,973,661,459,137,918,336,693,013,949,
352,159,858,515,681,845,458,435,237,231,067,767,862,531,713,042,023,774,974,
132,666,033,806,844,634,586,711,295,290,266,155,205,034,244,840,468,206,163,
932,162,407,870,187,355,829,225,991,069,012,637,408,319,284,467,442,808,415,
408,909,708,830,652,139,412,936,462,709,829,734,461,079,086,567,055,145,000,
263,902,333,023,866,971,636,752,975,815,123,150,504,857,252,600,124,376,856,
062,513,909,585,768,494,115,167,389,868,347,513,968,914,727,108,130,900,170,
239,585,908,821,901,438,386,595,417,003,954,467,340,442,187,370,936,528,217,
994,114,152,674,679,935,687,477,431,786,818,901,712,326,750,082,343,470,751,
271,705,121,695,902,231,268,377,925,247,892,593,528,895,050,716,520,954,874,
693,440,182,721,987,513,380,186,959,284,851,480,452,635,332,480,053,950,078,
290,558,959,876,101,729,477,417,390,776,591,832,423,779,265,057,567,247,909,
509,095,536,289,062,847,481,318,036,307,453,967,017,202,891,778,501,868,017,
127,655,939,583,805,880,528,258,893,570,815,934,918,675,822,632,952,974,884,
884,898,346,590,504,224,414,285,719,653,952,817,673,283,584,087,857,465,998,
240,010,363,756,424,836,406,489,669,124,055,198,304,623,837,475,736,929,285,
343,565,654,811,711,241,789,125,389,124,207,639,980,722,240,237,527,537,720,
204,522,233,618,792,472,803,919,438,187,978,203,950,036,255,002,024,182,996,
079,876,414,607,645,226,345,782,245,545,501,534,130,523,067,920,739,752,289,
228,792,275,959,109,337,137,633,487,497,270,316,283,335,185,320,180,924,772,
531,236,684,243,346,381,381,415,262,072,395,163,179,386,875,043,829,080,812,
416,487,689,164,574,659,203,241,699,712,376,661,232,094,720,639,775,627,552,
812,592,459,089,519,535,334,622,492,609,621,112,453,236,591,789,044,409,070,
273,238,467,322,020,655,896,895,274,521,466,050,741,811,436,625,322,615,739,
928,014,234,033,751,435,955,495,502,848,671,933,116,358,878,727,923,619,561,
736,140,382,872,188,626,517,892,500,968,714,198,061,595,754,554,073,148,062,
706,553,575,067,854,769,982,233,847,399,181,679,631,993,989,653,548,869,972,
750,674,080,207,013,133,395,537,949,958,749,997,973,258,868,320,492,934,470,
141,344,375,883,391,839,231,748,190,686,466,620,003,087,822,900,932,637,462,
215,945,487,678,319,310,739,165,268,755,025,180,489,793,578,948,511,393,521,
845,431,928,973,363,994,815,773,056,775,863,954,676,226,114,015,452,974,675,
106,003,918,069,250,298,150,439,029,977,918,650,904,811,604,880,918,320,410,
434,081,615,465,817,818,499,941,798,307,081,284,436,934,216,333,967,017,102,
364,377,193,212,076,453,177,459,198,024,766,170,671,695,163,401,380,557,681,
678,690,587,739,792,590,164,600,104,186,501,402,547,069,652,679,573,141,095,
516,984,110,771,053,403,308,884,332,556,335,713,465,226,215,556,660,055,797,
230,173,931,393,640,631,010,534,540,180,936,591,795,395,756,387,986,524,808,
937,523,323,954,457,410,100,040,605,573,341,688,153,661,365,741,429,634,619,
756,281,415,703,045,183,112,399,587,088,094,975,854,360,833,364,257,602,995,
251,897,321,308,738,528,355,309,994,415,024,581,444,415,302,778,238,089,616,
843,152,004,670,162,147,906,875,395,328,519,664,857,360,018,134,241,472,505,
906,326,179,388,924,493,804,990,170,340,986,958,487,777,682,238,944,233,325,
529,573,095,916,331,604,760,159,408,375,977,890,470,185,474,232,958,121,792,
200,579,662,178,633,401,766,586,962,732,553,776,851,333,844,828,703,689,983,
628,532,505,500,790,282,469,686,390,688,069,031,473,901,778,028,052,832,975,
358,450,827,618,654,075,285,200,121,181,040,246,574,148,902,236,093,816,409,
104,263,535,787,748,114,279,354,304,726,857,513,448,774,274,166,851,632,706,
422,269,009,004,351,454,063,041,206,204,533,651,837,383,929,556,231,086,969,
256,238,233,539,210,953,028,063,162,185,813,367,240,331,912,659,041,781,987,
173,377,706,605,467,303,726,457,402,332,076,558,673,589,937,579,630,916,012,
365,541,709,654,147,768,417,361,888,140,562,559,880,246,228,365,399,964,441,
368,372,955,996,960,266,259,314,027,984,049,554,052,088,069,484,631,536,728,
062,280,271,010,151,660,121,642,884,135,183,840,692,892,850,584,290,249,823,
323,171,908,754,055,623,250,490,537,169,027,268,741,173,404,258,328,202,251,
478,954,535,895,007,963,846,035,546,559,221,352,916,496,462,462,819,146,010,
255,360,672,093,804,239,771,804,205,517,692,346,699,282,991,949,286,061,893,
557,357,467,611,277,260,107,426,602,342,631,133,364,619,595,224,441,766,271,
411,407,935,475,751,808,351,161,399,815,320,402,084,218,726,336,367,990,525,
090,353,122,523,846,380,629,306,290,386,907,664,906,856,239,135,071,236,239,
408,708,939,916,788,210,677,612,448,146,959,313,526,617,938,215,578,653,116,
021,062,472,798,654,645,620,299,173,757,213,007,623,303,816,381,710,218,135,
715,793,684,287,486,726,697,863,464,075,468,044,719,428,122,316,249,929,273,
856,427,116,990,066,380,274,673,357,664,102,929,110,816,776,866,719,223,962,
222,634,199,765,290,412,256,481,268,101,581,456,811,650,521,765,537,042,974,
327,152,874,454,429,252,413,378,697,137,208,358,245,341,744,238,534,301,372,
145,301,374,184,350,454,675,444,434,882,027,804,699,067,005,645,935,541,054,
667,653,001,854,193,680,961,739,534,396,228,788,495,145,744,573,527,301,390,
034,120,107,456,647,638,449,298,396,525,932,210,993,306,507,383,020,885,586,
725,087,042,158,558,051,172,156,923,630,922,809,725,822,240,499,395,927,811,
124,047,291,239,090,682,484,306,920,925,883,347,237,887,022,576,573,175,590,
502,532,433,268,234,110,984,662,220,068,872,045,356,292,531,979,405,975,932,
702,298,122,374,752,863,620,631,341,538,980,350,954,975,365,097,443,399,130,
971,470,039,411,496,148,333,954,943,802,587,297,697,910,398,728,694,063,107,
647,167,612,205,088,077,391,499,946,872,829,627,420,038,100,467,423,582,915,
934,004,154,608,614,372,034,701,145,179,751,217,472,076,311,997,424,356,139,
921,064,494,062,360,739,899,848,288,208,964,643,595,101,538,347,428,469,874,
467,064,271,114,750,190,193,188,679,777,753,349,363,938,421,710,574,126,465,
774,706,433,411,636,624,899,354,704,496,944,490,359,886,412,757,238,882,769,
630,798,838,672,636,366,807,517,597,128,240,934,730,549,042,655,041,927,010,
673,950,314,867,557,668,974,669,804,837,850,967,905,562,655,646,473,070,198,
932,759,976,443,444,463,611,925,006,605,662,866,449,100,444,137,605,696,029,
338,496,442,124,677,255,016,670,830,379,757,865,211,468,452,020,595,107,067,
757,926,390,031,891,582,273,681,957,457,729,070,687,350,284,893,691,255,213,
090,573,889,440,254,481,430,872,732,016,994,238,665,209,021,944,692,293,407,
563,601,158,486,070,348,786,494,766,118,707,209,765,801,336,635,585,211,304,
518,826,219,611,933,728,504,719,959,832,974,221,526,004,858,368,943,083,307,
686,795,027,086,071,758,953,841,423,706,295,096,510,643,411,580,279,935,635,
019,550,343,992,635,659,037,064,024,945,361,876,603,177,322,692,532,882,131,
143,428,830,009,401,080,865,610,387,982,071,204,441,810,858,568,466,327,176,
004,328,596,177,608,861,272,182,555,598,108,792,803,858,057,772,722,529,490,
835,533,256,504,183,106,250,060,282,182,194,713,157,230,479,855,315,489,757,
957,915,116,700,383,881,345,285,877,303,312,584,503,135,947,842,972,065,190,
865,713,045,526,704,696,195,690,234,297,395,355,536,804,561,890,388,769,199,
221,271,706,222,607,315,261,952,541,915,605,726,734,594,403,389,407,874,087,
205,325,629,188,179,551,268,479,315,386,284,016,488,700,405,609,964,089,962,
703,783,481,404,831,713,078,341,447,453,372,803,696,571,490,009,905,817,513,
724,881,793,972,364,474,514,803,634,316,373,849,720,924,382,312,351,345,137,
850,627,421,470,514,871,643,465,346,096,078,329,512,160,632,213,840,657,850,
121,036,634,802,804,068,938,903,345,838,943,552,549,425,887,958,113,491,647,
785,539,576,267,987,996,237,616,217,801,156,675,914,045,998,379,741,884,836,
185,275,198,849,625,704,931,950,137,772,822,919,940,199,678,213,953,435,938,
893,179,310,667,990,310,383,703,315,765,081,329,695,997,227,668,176,381,120,
345,110,835,490,359,111,128,865,308,221,520,735,003,713,612,250,291,536,537,
032,048,148,594,501,516,628,926,145,129,854,534,165,866,428,305,349,978,383,
124,895,225,705,378,904,800,574,030,084,801,500,982,751,664,814,724,928,475,
978,143,579,211,165,453,598,353,080,337,250,301,283,994,605,789,467,335,303,
576,554,229,553,576,276,144,371,203,184,108,430,318,585,067,994,577,702,567,
707,615,153,578,245,464,996,271,414,218,789,902,469,455,853,674,709,084,947,
295,643,057,362,690,640,845,565,550,561,468,456,841,478,041,945,144,481,095,
696,519,631,477,280,731,805,229,355,837,466,255,687,782,074,205,910,192,303,
297,548,543,641,680,781,418,651,908,623,615,721,211,329,437,614,231,368,346,
209,508,887,510,412,558,628,797,983,106,147,677,528,379,681,786,966,290,284,
037,530,616,071,446,508,631,053,323,945,337,522,761,871,710,241,404,149,019,
418,775,098,209,393,367,951,505,116,448,366,870,039,383,265,030,574,633,323,
552,547,859,928,746,282,115,742,362,188,730,634,401,291,675,369,849,116,256,
198,922,222,317,674,956,862,241,554,532,341,777,417,833,356,814,629,023,965,
476,718,275,603,641,024,492,667,003,702,510,957,613,686,942,504,592,581,144,
313,075,949,370,427,369,616,460,714,166,030,205,776,366,607,290,046,392,426,
701,077,472,483,288,276,780,208,478,329,783,945,421,945,183,366,481,881,992,
654,911,262,356,800,694,298,610,396,704,926,114,973,000,795,226,044,821,218,
522,420,627,597,865,942,085,296,977,467,735,082,636,041,881,978,661,676,780,
109,656,092,333,573,112,354,194,265,292,875,675,243,189,775,275,802,010,582,
631,423,146,067,539,658,561,834,959,073,001,795,854,526,272,098,649,781,426,
194,050,293,950,634,629,931,461,102,989,845,464,169,258,454,244,504,321,285,
158,649,264,491,753,010,190,093,912,744,461,900,393,837,573,213,267,090,150,
066,713,672,243,313,157,255,899,493,022,148,572,518,864,782,699,039,744,568,
701,541,058,010,861,521,951,882,905,048,132,055,387,212,374,156,371,895,818,
735,072,498,715,893,092,379,466,617,832,468,855,648,641,824,365,804,953,858,
429,325,136,083,519,349,911,793,532,738,379,173,400,626,560,269,584,657,418,
679,589,326,614,392,316,336,681,903,064,543,794,875,707,757,503,876,886,755,
054,482,652,699,456,646,358,358,500,329,080,399,903,465,724,279,843,604,549,
564,668,167,704,219,196,209,380,417,665,449,676,855,354,073,793,456,834,695,
993,957,991,424,482,604,556,636,155,409,184,071,353,078,584,310,599,157,023,
388,937,049,803,031,680,543,327,309,684,356,763,713,942,397,179,358,091,467,
917,028,211,080,400,281,557,922,631,685,231,495,686,560,213,665,495,931,770,
264,738,169,886,882,797,251,680,248,467,412,868,060,920,846,830,394,025,024,
933,765,291,212,543,877,637,762,336,595,036,012,621,767,520,591,739,311,101,
639,551,046,656,129,122,211,279,211,216,511,434,147,040,219,204,172,776,071,
711,788,806,491,440,191,692,733,324,084,211,324,794,690,552,534,861,180,841,
173,750,686,120,995,287,994,903,218,569,183,737,565,343,644,091,395,863,377,
730,335,711,257,277,249,493,668,965,767,260,705,593,775,876,415,563,475,389,
619,081,498,136,682,185,840,223,399,676,744,077,510,670,327,631,605,495,092,
312,414,796,690,858,799,974,506,079,068,236,618,957,044,303,134,602,401,551,
972,651,486,043,177,823,993,772,847,766,541,099,815,416,858,083,411,894,012,
515,456,826,294,005,698,675,586,830,913,265,765,615,946,176,992,474,169,570,
335,600,295,331,095,254,878,760,985,711,834,151,882,677,864,511,931,511,173,
440,641,224,659,217,437,729,849,432,891,862,134,174,327,112,562,091,122,037,
995,235,375,215,627,093,125,508,138,393,085,685,851,184,631,353,903,544,352,
783,478,721,161,276,124,309,563,655,840,492,205,694,492,738,225,946,393,677,
939,213,898,967,192,899,148,997,848,522,598,956,643,813,151,154,061,884,779,
322,570,605,717,688,122,815,414,067,732,551,097,578,464,257,548,321,999,755,
554,901,466,938,399,728,812,782,755,590,944,510,070,601,133,407,565,121,797,
058,173,647,303,316,087,496,045,408,750,113,643,723,344,922,586,373,753,540,
347,691,649,304,296,074,771,959,404,312,045,296,020,560,910,669,341,095,162,
374,988,237,812,150,804,381,515,809,481,840,942,478,701,879,927,511,536,011,
865,184,170,795,790,744,769,108,889,319,380,667,178,881,238,068,338,706,417,
531,745,854,351,139,875,634,993,934,329,831,309,347,185,211,814,517,665,822,
630,841,647,143,955,080,402,830,156,924,159,912,225,834,770,021,191,226,541,
666,695,855,026,671,117,297,371,624,224,023,377,574,656,579,658,642,741,860,
814,111,511,203,931,644,027,272,834,312,644,697,416,319,330,013,653,354,093,
683,864,168,606,473,774,135,452,744,824,083,462,764,007,299,914,956,436,193,
177,201,169,433,040,709,724,288,996,010,186,235,188,516,491,827,562,890,324,
495,352,097,798,087,471,262,573,773,084,631,465,113,876,238,252,615,565,428,
441,930,339,641,479,504,159,404,539,233,657,481,536,327,357,545,862,862,346,
021,501,103,566,234,964,092,598,426,351,419,990,005,173,746,413,875,401,574,
012,293,530,914,225,346,806,122,574,766,401,786,842,505,773,942,984,405,370,
034,234,817,469,258,285,808,856,026,999,045,776,348,613,793,873,304,785,196,
001,698,273,695,639,752,958,841,059,248,145,649,181,416,609,080,901,723,465,
261,457,217,101,516,693,959,309,661,284,976,526,995,550,826,897,300,952,458,
852,788,834,869,261,642,469,591,259,387,341,791,672,635,670,290,513,399,150,
744,955,498,976,086,084,630,834,071,524,221,537,898,539,736,168,762,094,986,
105,661,989,917,928,338,573,889,073,549,527,160,795,428,076,700,627,577,258,
117,538,085,983,486,578,543,577,112,067,343,463,141,892,519,671,890,788,042,
363,129,367,117,654,261,888,249,639,065,745,734,071,477,096,201,148,929,906,
955,470,904,634,442,591,233,939,217,438,833,763,001,817,806,426,513,226,237,
695,036,663,996,468,038,883,049,081,710,620,679,606,100,492,185,702,610,622,
476,611,538,055,625,840,182,460,840,631,752,945,998,370,771,476,644,059,484,
781,131,289,600,630,969,744,284,820,107,662,431,816,233,043,567,169,935,956,
800,705,525,605,046,850,616,523,281,831,414,765,837,022,580,093,394,566,636,
160,039,632,826,731,423,324,014,831,891,526,488,509,679,003,544,641,693,731,
755,380,542,185,960,934,934,240,616,783,378,264,766,590,727,259,359,697,586,
358,561,192,882,290,808,330,228,541,121,564,623,854,138,538,031,591,817,154,
686,113,209,136,711,375,344,313,327,621,731,137,019,212,533,576,449,756,651,
016,653,516,125,078,927,947,178,034,133,895,204,273,200,857,191,007,925,105,
314,426,006,754,627,220,863,590,843,278,110,807,985,811,425,503,495,299,613,
660,972,102,079,477,179,976,641,811,765,397,987,214,285,285,592,706,597,031,
565,268,284,266,335,098,184,437,323,467,662,340,831,499,078,629,140,641,796,
821,065,134,062,662,148,516,385,499,235,916,366,148,243,389,436,803,132,264,
473,495,349,278,962,676,855,045,312,356,716,691,395,147,078,208,474,490,939,
407,098,886,064,977,795,341,437,125,355,137,783,240,389,785,634,435,368,182,
474,801,635,474,494,651,131,539,532,118,634,734,371,510,911,985,178,804,027,
774,693,951,333,718,978,185,268,435,449,720,379,614,319,465,604,642,742,951,
396,494,191,959,396,310,605,348,011,564,853,080,372,132,099,023,836,646,183,
942,794,640,809,096,896,005,081,773,635,311,588,955,495,617,957,573,373,601,
458,308,621,421,782,370,913,311,873,743,052,711,719,979,636,077,052,561,202,
652,592,742,998,993,956,169,728,941,459,311,893,682,678,598,076,268,449,650,
141,761,534,124,405,992,796,157,803,125,781,093,008,642,306,924,730,327,261,
877,906,238,783,625,156,423,434,338,926,049,764,756,041,807,208,323,894,440,
046,108,240,807,272,471,177,450,125,238,098,104,618,992,563,246,592,345,595,
861,392,633,711,368,815,496,701,206,183,607,543,187,871,695,614,946,696,814,
022,129,896,211,957,005,111,453,252,361,120,706,249,926,183,872,040,574,999,
774,553,462,486,416,780,882,032,285,164,391,181,019,848,813,012,413,277,472,
129,277,384,049,807,867,578,482,384,762,648,992,047,961,053,507,633,405,358,
720,861,284,329,111,581,626,989,842,760,872,569,615,912,814,776,999,258,698,
496,438,294,616,836,585,733,959,568,118,826,167,390,049,645,165,517,007,287,
454,410,281,081,107,593,165,092,148,836,272,206,368,151,602,814,422,174,901,
925,780,232,258,766,036,098,489,520,124,321,815,481,529,052,385,638,303,967,
900,899,840,421,675,680,344,109,148,505,898,236,524,127,251,726,743,049,691,
205,950,180,066,478,855,178,987,954,073,458,095,728,640,196,331,768,131,753,
887,321,135,427,431,395,945,688,424,159,731,270,169,789,511,570,270,234,213,
837,959,471,363,029,225,000,702,195,915,266,384,195,204,784,838,588,576,457,
255,342,970,494,560,425,214,382,967,585,715,365,589,801,543,076,263,052,194,
433,617,684,228,176,650,747,188,995,439,872,283,727,554,768,716,800,669,601,
239,876,528,163,285,791,893,406,609,050,823,062,210,135,153,712,764,038,427,
100,658,859,267,113,047,330,653,915,464,604,648,665,372,159,926,930,300,084,
428,711,983,794,235,907,113,939,614,448,768,879,616,336,480,119,199,537,576,
181,512,561,930,553,098,284,957,824,569,675,438,518,321,345,871,300,912,655,
404,967,522,067,497,079,272,597,429,016,222,462,235,907,793,033,915,736,618,
381,025,477,483,417,732,955,192,839,540,623,084,185,270,760,210,902,299,736,
795,407,589,243,487,780,802,082,207,495,084,490,028,716,099,586,907,522,788,
275,794,026,650,424,157,211,624,016,344,391,464,719,721,486,891,413,602,727,
422,519,781,175,718,087,716,016,606,201,906,026,107,761,121,034,577,781,542,
654,715,459,228,833,954,110,282,185,844,739,016,529,352,082,182,814,432,666,
968,313,566,543,096,034,934,155,699,106,066,088,491,745,326,035,298,472,487,
325,443,536,575,009,870,157,051,985,887,555,770,804,888,160,408,788,534,884,
811,482,637,386,681,926,891,342,995,665,738,810,457,551,065,318,453,779,993,
572,990,897,617,955,201,712,655,914,796,809,465,562,247,751,820,121,469,744,
054,205,566,431,413,212,671,201,769,912,197,694,010,926,741,813,426,597,388,
752,670,994,492,180,302,166,571,666,879,247,585,402,169,940,154,592,073,175,
014,038,071,985,452,475,751,556,642,206,220,587,692,915,050,255,459,403,978,
598,678,732,170,661,923,217,133,813,732,200,052,180,204,803,081,929,539,170,
195,195,815,582,872,043,920,407,907,289,281,101,382,871,730,584,666,551,553,
545,984,022,926,912,243,548,524,430,194,017,040,356,468,630,443,165,889,495,
115,680,547,416,587,822,032,267,770,649,040,190,925,441,452,619,029,938,293,
876,506,421,309,701,430,132,956,511,000,539,359,244,815,679,845,922,364,831,
369,932,430,186,026,142,257,833,693,469,930,100,200,963,985,153,378,124,162,
029,987,600,771,214,092,340,080,811,826,311,033,029,935,344,583,537,834,050,
249,189,719,372,565,364,307,483,985,979,610,365,130,795,408,521,983,832,718,
477,636,125,785,394,952,058,754,815,240,475,444,770,040,282,194,079,207,934,
315,777,142,221,080,074,362,212,255,208,840,485,215,721,364,066,764,352,880,
711,963,554,139,607,243,222,044,572,049,682,649,698,571,180,291,818,598,362,
746,111,118,992,622,667,265,540,823,832,736,031,634,014,828,773,995,071,215,
793,956,430,246,085,099,310,604,569,514,561,659,139,464,519,420,181,616,315,
885,940,096,350,288,112,613,817,340,360,062,355,181,257,785,805,948,771,950,
944,618,571,622,959,653,843,408,311,991,793,265,901,149,036,721,824,251,565,
454,182,082,782,295,434,471,319,804,962,448,402,267,439,707,368,510,269,562,
701,408,494,477,543,385,782,588,195,424,717,479,706,899,862,805,974,831,184,
618,340,055,795,820,018,189,799,218,167,430,792,962,863,718,988,369,360,605,
424,901,715,731,564,351,467,188,276,132,510,124,415,776,340,472,421,233,501,
135,485,157,170,854,194,697,753,490,728,293,691,523,723,204,586,344,549,592,
320,771,762,733,579,423,138,179,353,008,285,538,969,893,664,265,190,038,562,
707,384,792,703,167,624,007,849,518,055,795,040,049,959,121,621,865,436,563,
181,683,500,666,467,226,371,224,317,262,457,848,165,500,350,790,479,740,072,
070,572,166,829,464,011,195,185,221,189,870,648,278,953,019,889,100,173,558,
570,982,924,409,859,076,746,129,781,261,236,417,020,430,209,170,143,212,806,
217,037,385,817,612,373,126,588,679,767,510,692,224,694,926,975,041,003,391,
286,774,651,646,622,389,474,679,947,053,275,636,948,725,429,059,869,188,064,
398,584,262,655,415,380,178,173,250,181,238,115,608,790,599,521,113,715,832,
369,025,307,136,578,750,284,521,598,208,359,004,614,444,788,193,015,151,786,
826,134,201,292,824,895,558,701,584,091,605,124,432,502,840,664,446,248,530,
648,901,095,552,962,964,245,932,915,206,058,232,539,240,204,633,966,707,976,
355,460,383,617,870,560,276,658,184,572,767,220,092,854,343,040,965,518,717,
454,559,108,758,385,300,514,194,565,820,978,176,838,891,163,671,379,667,920,
299,759,481,187,913,288,889,011,348,191,934,167,804,272,588,844,656,216,317,
161,707,873,228,172,915,881,646,507,105,878,891,537,450,913,189,789,523,126,
831,530,194,333,430,061,641,621,728,491,195,935,370,486,631,443,510,228,850,
317,650,718,968,055,436,357,309,979,064,151,672,899,755,791,635,254,278,697,
459,639,681,949,834,540,784,137,093,199,478,387,701,253,888,896,448,248,333,
870,444,906,767,008,870,196,069,596,924,349,703,391,515,805,533,212,294,957,
580,007,884,183,960,179,530,302,465,630,086,390,183,137,658,912,568,886,765,
985,496,405,584,864,392,691,370,786,650,594,277,762,705,231,258,008,789,385,
220,340,352,686,418,980,068,075,960,174,850,298,390,555,510,589,336,122,397,
264,420,465,460,820,863,794,873,293,375,138,863,986,241,042,638,725,085,971,
844,413,563,522,873,838,911,790,141,845,122,880,980,951,399,839,632,475,872,
478,539,266,952,157,746,872,933,881,736,171,820,762,568,439,968,656,659,731,
058,796,288,096,252,460,468,985,217,981,894,785,682,205,673,222,236,732,146,
740,913,087,384,086,248,456,943,160,344,631,447,945,305,903,282,730,018,269,
437,021,226,000,697,297,694,196,349,092,961,823,169,892,836,807,013,028,635,
569,735,252,804,070,259,808,745,131,146,315,946,513,053,118,174,406,193,486,
395,686,154,070,371,193,768,656,828,703,898,695,525,746,254,079,388,815,870,
638,529,839,621,426,306,172,703,737,909,231,539,510,850,112,201,020,137,074,
609,384,119,903,399,440,392,286,730,838,739,390,790,158,570,577,056,562,832,
195,624,392,143,398,999,838,029,826,751,878,319,029,987,566,205,381,679,933,
507,345,283,836,316,824,622,025,203,524,100,696,137,814,736,490,599,097,153,
293,744,036,494,450,902,290,320,914,496,427,082,910,775,139,892,311,525,106,
588,677,512,068,695,455,686,307,774,472,848,433,016,683,252,736,529,233,627,
430,751,423,108,391,011,381,520,792,250,648,066,312,031,115,478,061,682,497,
097,139,535,427,092,269,561,978,078,741,482,686,006,548,023,763,114,687,248,
007,861,785,798,271,228,581,535,937,755,185,046,676,780,542,036,360,408,161,
187,123,781,042,528,353,043,416,850,884,426,708,959,550,676,572,539,112,744,
731,292,668,378,492,895,503,721,779,869,600,421,367,619,066,691,388,280,499,
261,589,748,509,624,846,679,524,607,633,008,549,044,492,032,139,543,037,785,
062,270,263,909,400,113,818,788,754,454,821,259,480,499,417,885,233,688,152,
601,376,138,785,007,770,864,423,334,630,975,183,303,355,023,374,376,418,925,
839,407,552,561,526,190,721,496,435,593,994,384,627,884,332,424,921,605,724,
485,070,932,363,375,267,385,516,512,369,605,482,474,813,464,018,053,726,499,
325,902,388,409,282,305,819,979,925,341,300,524,499,679,889,040,848,647,320,
642,921,826,211,798,494,257,076,471,314,053,579,478,035,951,060,960,994,461,
009,246,299,596,413,497,819,394,732,398,022,616,842,677,470,740,185,045,494,
702,496,850,957,071,122,330,369,102,586,540,141,717,447,935,948,972,256,450,
129,295,802,340,766,041,738,903,142,951,556,368,258,209,102,807,545,866,260,
532,824,073,021,233,451,971,070,598,870,004,167,188,919,015,007,088,551,426,
542,226,126,353,157,526,193,000,703,092,094,063,883,458,350,629,764,060,727,
147,554,934,550,686,347,813,132,884,081,201,536,393,441,537,216,226,340,194,
130,861,299,477,095,990,484,835,120,632,812,767,850,781,061,155,976,394,168,
397,127,399,164,398,680,793,259,613,353,146,830,627,954,604,065,243,330,959,
331,855,534,342,503,724,830,497,952,090,856,348,019,112,415,446,211,063,736,
412,572,487,765,670,698,463,660,225,220,275,743,961,685,837,804,900,178,158,
285,362,005,007,997,828,285,452,302,734,613,997,321,870,139,455,223,609,110,
773,231,514,428,833,424,263,525,863,238,217,972,583,378,669,066,918,957,844,
509,330,735,957,381,230,084,971,352,504,298,199,486,026,211,195,256,087,575,
813,156,307,642,686,902,974,110,897,177,976,394,084,017,216,868,503,088,931,
074,798,286,437,021,160,377,800,558,855,869,682,024,069,058,376,242,718,250,
595,278,922,800,706,944,246,899,402,427,115,608,431,089,602,590,346,793,627,
172,575,679,707,758,566,313,633,131,833,854,408,405,353,207,112,529,847,096,
567,887,796,305,854,898,826,656,228,900,260,784,728,379,318,493,210,404,996,
772,777,947,492,335,555,985,438,115,975,133,939,862,988,429,856,279,431,433,
284,160,236,258,095,643,087,547,358,657,392,563,864,103,177,019,249,367,323,
411,698,886,632,367,168,286,025,944,274,999,337,542,630,515,476,503,456,654,
096,280,506,055,723,988,886,924,536,785,935,131,540,139,173,125,481,615,928,
349,103,834,517,119,783,957,864,842,389,302,083,723,803,480,266,029,078,527,
569,055,942,516,194,573,258,368,669,147,708,762,491,889,098,144,351,949,438,
011,077,147,204,916,970,077,239,105,702,380,694,894,432,015,267,834,175,711,
047,676,061,511,674,787,928,378,578,991,668,446,506,218,906,815,272,129,113,
196,618,542,513,128,797,602,179,460,578,800,750,102,661,406,836,866,111,547,
617,352,877,796,341,752,161,203,158,763,677,231,783,305,719,264,624,961,644,
067,015,111,756,193,383,873,041,490,124,853,925,592,992,978,697,163,194,756,
817,682,505,513,704,648,743,765,188,031,949,035,487,102,984,474,093,574,957,
005,880,863,470,712,801,118,233,132,566,434,091,752,910,875,445,736,221,122,
529,149,348,335,390,199,432,212,829,418,683,346,631,755,930,128,603,543,790,
559,249,926,226,840,199,372,430,498,017,252,627,705,047,145,545,441,911,947,
178,256,394,592,195,651,924,665,678,274,981,502,235,080,307,814,707,647,314,
402,058,878,494,967,216,488,872,691,946,819,226,683,381,279,924,213,349,079,
254,807,944,991,405,588,170,191,491,116,801,040,642,947,225,932,446,695,817,
839,328,485,502,009,275,777,729,812,213,364,402,988,908,321,631,968,152,653,
921,371,978,947,386,428,513,826,732,674,224,287,555,920,118,999,663,645,691,
738,632,596,212,507,928,277,968,510,721,346,731,325,252,831,589,111,940,467,
904,077,183,226,736,945,520,604,983,821,741,089,033,789,883,086,639,061,982,
915,143,171,388,093,644,853,308,736,393,453,711,271,664,553,711,841,144,166,
320,653,798,652,139,583,121,525,189,091,918,366,943,555,293,857,234,593,195,
537,212,757,508,199,965,499,451,156,704,843,936,571,520,728,412,882,356,758,
463,784,536,341,751,685,046,328,159,279,739,464,369,609,444,925,921,725,243,
170,780,310,528,775,662,423,857,987,724,408,069,247,763,705,984,341,578,105,
431,532,129,447,395,380,100,254,791,802,956,334,138,204,410,214,787,997,239,
104,791,509,557,571,979,753,325,828,450,282,746,551,446,163,538,636,512,020,
183,861,364,357,313,819,489,095,676,218,214,121,434,228,611,409,599,979,484,
634,661,964,922,904,767,587,160,710,750,894,088,955,526,239,888,807,652,418,
698,593,460,708,292,133,517,056,032,680,248,079,795,390,225,064,694,402,529,
303,044,863,502,436,401,385,944,368,194,811,805,127,866,441,843,602,738,167,
788,788,079,857,705,505,862,263,959,343,864,699,109,089,871,686,954,553,921,
766,115,672,215,599,459,627,558,105,685,195,939,395,607,604,417,678,482,020,
788,339,890,837,387,613,874,963,399,937,336,949,682,272,949,503,766,346,872,
670,324,274,584,349,384,557,560,978,889,800,630,289,319,912,439,904,466,919,
885,940,673,818,215,643,459,633,072,569,550,683,989,419,573,912,288,971,074,
199,788,788,379,746,683,788,385,678,956,466,508,747,127,308,578,051,855,389,
463,761,181,701,500,506,575,179,894,478,920,564,718,665,191,900,470,711,585,
350,559,995,652,141,227,030,739,778,212,889,069,037,377,724,938,781,709,847,
535,796,521,566,671,945,762,556,922,625,515,198,283,935,724,591,187,302,293,
704,917,956,489,988,144,933,081,617,241,406,855,071,858,176,498,388,211,316,
350,229,311,678,433,720,564,854,533,261,136,294,479,397,166,507,187,277,959,
457,145,782,530,586,139,006,516,856,808,485,385,475,925,017,121,583,641,423,
505,385,916,554,772,085,944,196,608,638,465,397,602,969,833,267,176,339,541,
487,793,322,369,681,324,263,811,731,502,473,998,070,838,857,552,520,011,236,
506,279,042,048,299,751,779,000,433,944,213,839,429,871,347,304,412,505,227,
053,156,309,249,684,817,007,523,054,447,353,427,700,411,080,339,822,992,933,
109,923,218,752,960,703,245,033,662,084,368,208,347,285,233,008,480,016,115,
827,746,451,278,881,646,083,337,230,150,859,129,983,994,863,735,206,430,696,
059,472,249,659,171,738,727,974,089,854,743,612,747,896,517,876,774,195,372,
630,499,884,901,457,539,513,171,293,013,639,278,926,494,959,308,324,934,671,
133,341,560,016,285,543,638,922,033,327,513,214,683,306,678,585,247,089,999,
052,472,222,108,071,748,560,929,791,438,372,119,522,234,375,321,771,727,998,
567,087,742,438,978,081,574,059,858,815,252,530,568,530,527,794,817,177,752,
429,885,693,146,871,450,035,629,432,735,676,201,355,502,524,716,115,975,602,
156,080,969,713,076,002,792,513,536,242,091,071,587,807,180,601,547,097,018,
051,123,310,783,549,254,835,302,763,351,323,871,080,870,093,341,350,676,924,
567,295,402,054,717,942,518,497,390,166,851,473,794,273,058,508,793,460,018,
986,198,608,126,004,746,918,301,889,265,534,543,194,622,830,932,403,028,735,
494,015,014,765,793,566,350,021,261,053,173,115,571,757,362,842,905,644,903,
529,006,856,757,098,857,924,090,647,488,676,614,944,270,506,290,639,048,332,
692,013,105,610,026,249,397,147,248,610,521,341,566,604,558,907,220,987,827,
968,945,242,911,279,265,920,468,726,730,376,087,533,678,764,465,866,428,774,
557,460,952,898,924,262,666,037,188,069,857,230,516,581,159,576,154,838,368,
475,238,272,266,462,086,889,301,894,970,935,652,729,825,090,754,451,055,120,
488,538,183,039,545,108,436,591,774,451,258,832,059,171,341,281,307,005,477,
552,054,621,438,721,855,223,762,348,989,105,015,386,185,968,049,433,455,723,
853,718,051,133,814,174,241,645,979,487,996,008,084,327,207,425,596,885,673,
584,600,045,074,566,268,837,657,248,518,606,363,211,859,321,286,280,240,315,
507,404,639,137,577,059,632,270,594,174,775,792,760,001,875,748,893,510,635,
492,420,539,175,892,615,300,763,930,164,551,092,595,544,129,595,782,769,320,
203,924,148,642,523,853,256,679,502,338,543,283,544,574,384,287,877,359,292,
612,529,608,551,463,320,733,905,606,580,332,411,734,323,735,039,242,970,686,
685,072,811,334,760,683,040,095,874,304,652,532,176,612,678,435,322,163,112,
564,264,128,195,778,325,994,417,427,067,604,155,102,480,560,286,530,012,020,
259,062,925,188,858,321,429,936,613,033,946,603,532,818,540,662,559,889,342,
511,107,703,052,097,597,687,543,881,348,217,433,789,274,218,950,486,731,272,
677,152,689,875,929,917,601,867,996,594,421,784,342,043,814,488,404,725,467,
050,036,080,544,447,206,355,801,823,499,313,644,069,086,290,238,351,263,215,
599,061,737,821,101,545,889,468,914,015,980,462,124,590,157,173,562,275,756,
827,096,954,253,553,499,621,602,525,255,680,478,372,694,144,676,799,448,373,
240,731,807,715,558,414,938,262,981,646,710,995,650,872,860,259,009,413,587,
278,035,538,981,446,024,183,216,511,319,806,422,933,319,193,804,227,020,529,
180,769,348,376,195,179,091,692,160,988,757,995,775,362,285,854,870,939,440,
710,192,743,765,836,191,726,979,263,669,331,915,546,737,440,839,611,472,127,
336,056,323,415,700,090,313,532,355,105,342,911,121,145,850,726,140,859,217,
851,551,255,728,566,769,548,710,323,005,544,156,655,332,741,025,967,912,944,
597,521,236,446,934,970,375,541,444,328,583,503,844,921,572,329,783,003,822,
559,725,217,395,859,300,648,228,743,868,426,861,047,818,773,501,592,358,145,
304,196,910,261,449,716,427,990,519,094,505,568,156,327,880,310,736,664,440,
753,648,062,223,222,852,556,656,453,502,840,410,250,874,162,971,242,977,737,
155,963,147,942,605,681,700,356,965,673,341,725,238,201,581,081,179,016,135,
934,059,744,965,918,019,170,482,654,188,275,262,027,599,739,133,808,807,806,
614,803,432,031,779,852,842,919,568,986,658,750,307,811,433,148,524,063,590,
329,753,698,142,016,421,567,036,229,634,306,408,966,357,648,298,498,000,450,
614,825,273,857,599,235,801,950,410,664,093,521,463,700,350,459,528,883,591,
268,975,586,140,160,134,277,501,101,628,144,455,368,503,739,652,844,782,406,
545,373,521,190,036,226,067,097,148,599,315,993,052,172,492,143,711,608,880,
472,720,684,715,733,879,938,715,231,417,610,812,957,725,462,983,696,830,169,
991,139,431,659,245,359,077,332,932,532,797,745,837,512,732,605,332,650,796,
641,445,906,449,007,398,311,608,928,108,687,119,328,269,792,818,707,201,128,
384,414,797,998,477,834,705,354,745,902,373,897,080,845,251,296,399,484,709,
841,218,263,016,259,407,807,252,162,902,778,432,482,755,001,983,341,236,479,
771,374,255,058,343,660,637,268,861,859,308,075,420,797,874,239,825,396,835,
712,784,856,202,462,432,435,401,595,248,593,273,377,486,860,483,909,720,712,
226,972,304,447,656,714,524,737,191,136,173,007,526,168,621,308,407,787,729,
049,538,508,406,855,257,959,947,957,094,246,501,670,032,775,532,735,533,261,
572,674,378,739,572,582,722,020,795,967,398,671,477,811,869,913,183,925,583,
207,207,025,093,219,121,146,869,171,684,073,910,017,326,497,853,228,122,034,
783,852,887,992,980,090,681,107,087,227,589,268,107,079,659,417,581,390,990,
910,781,265,988,110,222,923,065,690,799,900,191,149,118,508,792,499,659,351,
209,638,411,416,610,965,177,364,103,863,586,194,776,944,905,055,078,886,378,
898,838,320,252,681,140,801,830,392,277,348,839,117,189,946,380,346,681,127,
606,890,952,082,384,809,782,173,311,317,270,107,110,722,307,176,562,221,793,
357,987,261,103,275,746,474,621,648,428,611,289,142,276,463,001,837,367,973,
043,765,974,850,884,289,985,551,279,673,947,691,875,959,130,607,935,554,896,
243,189,468,298,785,835,711,631,234,425,625,162,627,956,188,902,975,284,973,
776,021,284,467,302,993,109,646,930,978,464,199,829,410,010,473,692,616,905,
897,352,535,829,435,955,466,846,836,292,089,866,285,426,995,684,530,402,989,
388,013,582,564,441,938,590,378,795,989,035,774,428,260,411,433,332,406,934,
706,428,153,879,966,023,622,679,582,186,994,011,288,749,923,009,785,332,918,
511,964,031,757,007,744,143,535,309,430,846,172,175,570,671,917,557,825,506,
089,454,677,834,948,939,250,497,744,170,171,359,427,148,411,495,165,065,077,
504,110,455,283,596,238,143,088,395,730,171,739,014,077,594,259,717,701,542,
011,671,808,320,311,536,230,731,855,165,239,960,385,251,439,662,635,353,853,
397,929,720,372,829,622,843,986,373,029,436,864,903,106,434,170,954,740,859,
910,411,226,468,729,126,041,855,514,152,182,685,217,159,360,216,148,553,830,
638,780,122,834,317,482,120,014,130,101,919,276,012,257,127,740,153,645,917,
424,021,704,882,357,460,929,340,862,123,160,068,917,251,491,412,434,980,631,
536,640,844,541,752,463,519,114,720,575,807,383,371,213,607,967,567,273,190,
698,062,564,952,316,010,843,007,550,545,963,356,984,069,273,342,553,020,291,
840,566,674,194,352,872,271,567,748,510,071,538,732,597,877,128,055,152,476,
703,565,341,240,531,755,208,724,294,336,659,026,347,389,813,172,295,648,642,
368,405,994,233,791,027,315,316,965,009,510,474,038,924,905,760,795,530,520,
998,916,736,264,036,288,566,135,793,608,058,871,784,159,726,037,712,594,745,
461,649,133,421,488,019,339,092,829,919,135,533,812,209,422,427,808,844,769,
982,901,707,822,041,771,143,288,046,368,935,936,153,571,322,737,288,613,474,
098,639,308,326,690,031,551,455,298,179,301,751,116,640,795,475,140,721,532,
107,347,365,134,664,930,343,639,111,807,673,117,346,645,880,868,830,546,935,
686,753,228,669,685,681,454,272,510,181,907,526,073,428,312,861,832,311,112,
985,605,443,398,089,435,733,495,198,331,243,447,908,870,678,841,429,525,907,
112,913,828,738,559,460,923,912,943,244,236,799,749,744,438,328,885,047,436,
313,513,885,106,067,650,260,862,631,951,878,817,985,151,260,380,237,975,227,
042,604,003,741,550,533,527,429,959,849,917,896,331,635,267,506,556,321,411,
542,483,475,403,037,375,451,412,122,062,739,144,326,679,621,603,802,425,354,
780,422,147,187,972,717,341,341,720,815,956,708,443,703,430,381,423,425,541,
770,980,900,258,947,199,933,651,164,736,803,126,473,545,211,254,890,062,920,
758,859,185,044,772,441,330,025,103,004,867,286,679,231,145,691,294,420,031,
739,150,842,723,679,251,956,008,210,600,021,318,650,834,855,858,216,467,009,
855,811,774,805,469,483,012,760,912,906,081,801,646,793,782,751,114,707,397,
833,512,222,854,178,058,322,535,582,150,404,062,120,560,970,335,902,030,247,
420,305,485,813,937,424,528,862,149,788,632,754,220,512,644,756,309,426,731,
952,486,717,491,457,253,974,106,983,302,059,124,291,940,695,662,087,302,029,
924,897,170,827,710,150,331,342,657,388,057,013,704,613,915,527,367,847,765,
444,381,314,834,118,027,380,361,465,606,460,466,573,266,185,709,001,272,879,
095,989,144,264,323,357,301,442,792,560,487,240,998,564,537,605,663,468,654,
178,948,971,686,483,531,333,022,404,832,595,244,883,770,335,986,766,112,511,
468,680,294,404,918,118,156,792,534,325,020,169,637,103,035,998,331,051,783,
208,393,453,871,427,372,314,152,545,766,423,917,901,785,107,950,674,436,542,
001,289,048,842,724,793,208,896,755,916,393,128,998,018,836,460,306,118,091,
466,800,187,124,192,215,293,277,504,166,726,054,947,348,726,837,975,568,357,
734,149,524,908,303,297,127,589,571,068,234,365,326,345,587,946,598,438,235,
141,933,155,231,336,988,591,472,048,132,488,154,113,312,197,276,895,570,540,
963,476,707,389,119,588,380,727,909,606,860,780,604,372,399,630,318,449,048,
970,259,208,830,610,856,360,506,378,276,227,824,415,739,703,315,963,228,498,
209,323,223,669,043,191,586,068,707,294,296,436,193,695,356,211,753,588,525,
593,156,383,704,908,010,035,571,594,942,856,119,888,716,185,274,245,158,648,
669,078,838,989,986,540,123,626,640,699,072,173,667,716,279,795,052,802,890,
505,155,455,467,124,754,246,349,285,838,256,107,605,248,320,671,234,648,929,
178,136,015,890,948,591,283,607,957,557,684,957,178,270,551,371,840,268,520,
567,016,038,272,248,079,219,902,907,282,159,625,675,948,087,572,144,774,870,
940,520,964,700,712,421,614,606,452,342,873,652,747,095,263,017,475,957,955,
608,340,313,133,750,700,380,938,506,098,795,330,855,643,191,368,337,054,857,
427,560,264,633,088,541,036,910,200,158,532,319,039,288,604,052,062,460,575,
712,308,210,533,077,001,327,831,512,069,516,878,624,189,988,843,371,337,471,
541,725,427,651,025,909,407,237,489,509,962,256,284,825,469,131,300,870,829,
332,008,035,809,374,214,544,590,461,919,474,805,648,840,027,438,893,468,187,
495,846,572,920,606,387,051,400,862,724,838,405,267,184,507,406,946,604,479,
639,204,296,572,730,162,538,596,603,304,510,574,664,783,349,122,688,042,223,
646,700,015,524,692,726,143,708,954,439,857,530,065,859,338,923,673,810,247,
330,896,596,513,391,518,059,746,134,328,088,894,672,428,831,667,493,894,272,
224,623,037,680,241,770,688,510,788,130,875,455,015,144,660,747,123,252,726,
878,812,378,161,270,257,626,225,429,521,508,828,780,220,798,769,018,373,227,
344,529,424,218,391,465,948,745,459,984,596,246,078,854,906,722,117,893,218,
402,040,646,039,655,735,533,842,402,572,565,519,951,895,638,401,242,933,139,
351,181,728,864,454,981,137,128,303,664,103,537,877,795,341,494,648,699,832,
453,962,422,369,952,498,299,669,490,385,067,858,299,638,198,550,329,396,134,
962,547,830,971,350,559,034,246,581,232,312,506,471,035,566,175,003,558,305,
229,970,197,472,989,719,545,886,902,617,948,844,084,050,372,008,999,745,781,
598,327,379,390,574,911,825,365,943,570,844,456,666,013,617,282,937,307,536,
285,178,039,699,029,749,127,509,680,234,759,137,127,292,026,754,823,331,410,
462,941,606,089,680,907,606,251,457,306,612,527,449,913,155,324,510,429,153,
146,527,776,159,133,420,127,727,692,577,608,634,424,268,834,449,817,123,053,
293,739,492,815,213,683,495,631,579,438,274,195,229,838,313,557,993,435,154,
571,244,827,089,989,016,335,997,803,923,791,384,306,229,060,506,823,292,745,
912,820,967,330,270,173,021,098,195,783,214,062,419,289,757,516,977,809,944,
755,318,143,386,883,523,927,059,644,841,621,639,946,800,091,501,445,850,697,
022,569,225,558,029,516,817,954,176,061,753,467,378,905,837,652,531,420,644,
423,748,478,427,550,255,443,312,033,789,187,234,141,253,295,566,914,930,713,
359,072,064,394,431,257,746,924,661,689,388,213,121,732,007,447,893,121,464,
976,993,475,904,512,676,704,289,945,463,881,825,348,801,673,455,463,323,369,
299,318,811,662,487,324,387,596,563,444,050,551,761,453,250,354,309,310,429,
266,496,550,437,998,953,651,619,354,458,430,621,972,649,016,623,242,719,605,
223,794,071,537,954,071,737,247,669,660,367,638,410,982,194,265,218,988,012,
992,883,887,258,669,404,749,272,126,625,101,010,391,470,490,000,670,565,698,
549,440,660,141,049,484,908,366,275,314,298,936,598,878,978,152,095,811,531,
720,772,141,124,059,559,522,752,654,824,853,831,444,120,132,020,667,369,268,
236,776,919,798,849,206,498,730,542,000,581,670,460,353,783,562,291,870,865,
337,202,022,338,153,907,618,813,268,938,789,126,417,913,219,069,965,216,844,
506,737,277,560,895,933,347,361,790,620,301,624,406,897,460,200,580,518,955,
459,903,454,708,661,794,690,807,382,498,281,523,630,352,070,380,519,883,634,
572,312,580,123,154,177,609,684,614,766,371,992,939,903,482,253,787,977,158,
944,223,166,600,681,369,745,078,562,108,856,303,049,972,335,161,107,926,886,
499,603,104,318,301,899,411,289,152,095,700,577,138,226,632,884,282,387,978,
239,895,575,057,419,473,491,338,929,204,884,528,650,914,882,345,869,966,449,
994,738,238,481,094,096,587,892,258,766,515,125,363,919,641,067,233,935,722,
615,643,674,259,432,147,609,409,369,496,575,374,456,033,100,050,286,360,395,
263,397,792,434,010,677,830,842,557,219,706,399,271,235,243,961,280,541,780,
571,793,960,925,386,294,430,797,300,862,828,980,549,615,366,136,445,784,906,
070,370,064,561,550,579,922,681,697,062,950,813,320,421,585,281,605,556,542,
823,846,065,697,052,701,978,636,256,410,913,736,072,292,685,094,097,311,819,
099,660,910,557,841,219,101,069,600,747,219,477,407,990,003,037,893,810,509,
897,705,694,037,577,261,154,656,903,168,859,605,793,540,036,435,840,553,101,
405,491,596,930,098,101,239,014,190,196,191,005,841,940,073,964,838,773,256,
211,412,628,720,707,493,057,747,825,803,784,767,743,352,502,011,940,273,841,
644,784,708,622,010,877,904,422,387,698,409,356,152,236,679,099,326,010,549,
234,750,199,047,209,010,325,957,164,823,398,289,465,657,090,414,289,008,458,
986,643,490,107,651,869,441,661,603,580,211,994,963,736,143,323,130,586,684,
990,069,282,593,943,890,938,108,603,614,014,110,236,872,976,977,354,506,592,
052,177,840,580,857,661,520,301,511,798,033,062,893,702,262,950,469,169,233,
129,869,085,881,393,588,797,322,688,519,104,469,176,174,447,603,429,320,208,
489,070,484,432,522,871,192,719,559,562,267,227,902,406,090,604,432,844,737,
608,638,244,276,951,855,885,446,950,796,485,272,163,430,978,058,789,508,939,
031,059,123,915,725,043,380,677,126,193,834,652,894,272,208,643,986,536,251,
310,089,378,517,874,057,768,161,866,490,748,277,532,075,797,344,083,099,811,
354,707,117,697,323,924,109,196,780,715,678,277,569,827,199,917,243,840,488,
705,766,459,912,164,116,377,887,835,810,213,496,238,038,756,676,066,812,186,
655,028,775,414,719,880,482,775,907,584,602,061,344,992,861,124,755,093,993,
220,373,655,835,553,716,947,361,565,633,347,210,284,087,155,042,434,582,113,
006,907,159,902,586,728,051,882,368,526,391,774,866,232,055,893,926,494,459,
805,533,020,601,788,475,911,359,581,157,216,079,783,130,135,593,897,067,314,
466,914,237,463,431,636,215,124,095,759,672,360,845,973,779,926,142,213,782,
599,424,137,751,306,965,436,291,562,909,657,566,429,379,354,392,764,150,982,
634,515,963,210,742,836,488,984,697,728,258,592,495,693,807,746,342,775,668,
612,509,266,022,998,042,623,255,039,736,795,840,268,265,476,546,454,339,643,
253,813,968,335,319,325,516,490,964,692,635,405,401,607,323,520,129,540,243,
894,551,122,513,101,212,207,053,447,369,920,555,547,158,871,064,641,686,357,
518,262,286,491,729,463,318,710,671,272,933,119,756,027,048,503,371,045,618,
132,869,258,216,337,205,715,283,290,410,032,525,638,617,990,251,319,954,215,
101,383,500,571,115,364,479,400,121,375,351,114,234,266,228,093,122,717,316,
068,082,415,101,960,313,466,508,738,517,714,398,227,534,873,588,237,735,080,
973,365,669,450,480,737,438,331,425,352,034,121,329,639,170,517,861,904,376,
998,793,157,727,036,453,938,052,925,215,926,650,918,240,360,410,328,291,340,
568,609,700,550,242,968,162,331,988,815,386,017,056,403,223,174,142,798,022,
424,090,178,956,763,562,450,778,700,460,219,641,224,060,471,636,049,201,400,
184,044,025,640,909,504,615,444,303,350,916,249,182,904,002,947,831,450,983,
923,447,726,373,734,423,673,311,541,099,600,802,793,997,674,502,730,365,460,
453,182,457,240,377,360,104,128,543,460,801,069,380,422,922,466,927,389,462,
354,315,684,724,431,999,670,190,994,417,357,116,141,961,812,296,901,075,872,
304,128,319,037,200,948,037,892,149,685,106,064,582,431,667,821,504,805,920,
753,549,631,216,228,034,803,684,622,641,692,293,777,580,030,002,466,169,623,
712,609,455,703,755,540,309,418,760,169,833,994,452,818,141,600,865,962,130,
020,685,711,621,782,947,327,377,271,267,045,655,923,791,787,385,126,607,208,
194,692,967,740,935,227,564,772,580,643,428,911,039,647,397,443,719,652,599,
382,036,653,370,348,493,792,584,138,435,992,423,742,079,134,436,917,621,959,
640,372,235,626,942,380,016,700,143,234,752,058,035,822,647,972,252,126,059,
907,275,167,006,537,496,436,804,517,974,571,462,242,967,651,447,607,659,783,
561,958,504,581,313,324,217,791,889,437,434,501,122,358,537,160,158,872,376,
438,262,351,184,668,274,928,168,911,261,582,025,118,824,232,702,336,163,155,
232,945,763,952,960,207,208,382,207,778,521,014,364,378,871,546,685,971,461,
509,499,070,968,041,828,796,851,117,101,680,373,826,255,129,869,471,912,333,
388,290,647,401,149,092,016,276,763,621,897,311,070,921,372,085,138,922,442,
772,651,166,203,054,698,742,400,098,534,437,622,201,644,051,283,392,293,705,
614,206,760,323,850,216,409,463,285,037,779,664,229,404,896,770,742,994,465,
637,492,544,463,776,144,974,079,490,743,936,262,427,378,543,328,104,007,696,
466,568,837,500,490,735,325,986,921,483,754,215,118,997,726,892,168,185,760,
814,754,251,630,751,828,403,763,945,580,410,849,797,887,145,968,239,217,233,
170,363,356,876,914,214,999,250,225,630,843,027,423,851,077,592,369,264,754,
674,104,046,395,296,160,529,647,735,456,085,387,044,639,751,666,172,930,800,
912,885,250,068,109,235,353,725,279,418,596,128,883,239,274,541,515,310,164,
989,629,638,900,208,054,226,592,493,827,807,913,667,416,898,745,013,562,363,
174,645,342,064,309,920,185,353,948,617,153,407,944,966,761,806,661,111,440,
259,806,495,176,095,077,580,294,978,575,964,499,453,148,352,050,449,434,082,
596,864,868,646,410,514,638,946,256,275,129,010,940,083,793,956,730,625,939,
858,949,981,558,026,545,393,257,167,388,998,358,677,346,318,054,842,473,925,
301,634,710,770,981,697,307,621,445,246,614,145,026,028,779,055,354,646,832,
028,985,755,142,595,090,758,413,991,219,466,161,256,349,198,423,000,710,481,
303,561,638,332,978,752,321,006,089,296,974,505,984,545,406,221,978,276,154,
793,555,302,482,267,129,391,810,506,520,347,721,752,060,209,893,919,366,691,
894,291,175,154,238,373,319,649,417,885,128,199,164,653,055,927,167,002,177,
938,875,923,928,492,133,817,639,637,565,896,414,347,226,106,365,577,459,246,
491,910,296,097,281,110,719,748,650,530,401,132,811,665,239,291,560,479,955,
760,366,249,347,702,806,520,075,087,428,315,919,870,860,621,675,246,661,755,
623,054,677,030,939,007,203,597,039,794,719,995,587,911,930,894,363,533,335,
533,571,716,368,788,184,425,480,429,861,265,391,303,554,336,635,096,349,678,
515,976,010,689,668,192,923,642,714,077,788,752,671,598,686,684,680,729,014,
204,936,792,686,502,519,678,063,562,120,525,505,160,779,336,595,030,085,383,
459,045,228,316,933,962,853,864,751,066,868,274,640,904,516,972,043,669,089,
797,986,724,012,796,004,361,309,971,980,820,105,706,699,807,629,105,581,056,
021,235,991,706,107,303,929,159,958,750,904,705,173,384,756,085,207,499,781,
738,677,530,032,973,590,468,551,673,424,466,427,336,232,462,855,620,359,837,
354,103,710,520,706,751,025,935,548,796,940,833,156,945,121,488,762,752,598,
964,683,440,811,984,083,089,021,924,108,974,571,488,871,418,917,187,759,955,
984,807,638,948,476,634,128,120,309,608,198,560,919,344,841,982,134,367,088,
130,744,477,948,422,875,634,004,354,256,764,020,488,348,449,726,650,218,801,
577,877,604,196,230,975,214,853,360,954,604,230,079,623,443,246,264,243,548,
320,580,335,005,654,567,253,404,037,146,447,026,808,860,828,391,028,750,300,
568,048,070,888,202,876,623,965,368,289,274,727,324,359,027,971,790,641,634,
421,746,760,338,960,978,092,538,995,059,389,347,607,072,742,960,238,734,410,
133,712,357,324,788,646,555,278,822,478,080,560,704,388,212,203,792,667,867,
997,689,707,559,323,475,851,283,365,277,409,325,953,904,291,629,938,795,224,
541,575,538,504,418,676,092,295,321,543,571,850,880,025,428,504,150,380,252,
102,510,610,228,865,746,956,984,100,580,128,687,636,753,455,923,274,131,529,
332,340,078,443,748,459,090,474,611,006,086,689,201,694,067,735,568,989,456,
416,138,050,044,684,625,310,400,532,215,518,690,457,024,357,698,214,197,495,
169,748,021,002,630,981,246,089,335,218,302,179,334,766,531,792,952,641,389,
630,664,574,973,431,941,680,048,441,839,164,214,070,414,759,282,813,789,338,
818,751,867,789,647,251,745,829,924,617,863,004,141,515,018,322,457,759,295,
821,315,501,162,919,920,466,839,973,828,013,441,810,306,882,199,555,163,702,
997,680,313,544,558,016,030,267,881,699,798,664,047,111,862,192,841,715,255,
276,870,356,367,769,925,204,537,050,344,891,696,127,753,358,401,683,091,552,
942,174,504,164,821,351,379,109,531,469,143,933,319,481,872,460,582,797,973,
273,628,814,035,400,605,548,180,581,890,846,561,831,798,153,262,488,415,246,
735,460,471,052,174,777,081,268,194,437,844,150,332,257,889,320,038,856,755,
504,174,333,793,314,698,451,878,800,676,275,353,980,412,155,339,197,011,441,
866,813,136,288,675,766,200,287,682,785,832,540,493,779,214,540,891,860,025,
949,497,446,005,214,277,614,837,935,553,841,031,562,914,205,543,998,672,558,
624,567,090,853,889,409,772,271,535,883,778,176,746,663,714,916,046,373,172,
876,718,221,118,287,104,595,926,239,048,365,697,232,048,695,964,231,527,136,
756,096,779,351,541,791,401,643,223,211,887,766,699,514,062,550,020,423,105,
265,772,026,941,157,788,491,106,824,278,824,213,734,560,894,460,254,927,668,
366,195,708,233,486,113,230,552,166,055,267,140,592,343,793,698,132,477,231,
061,159,375,749,567,737,415,053,256,518,839,586,522,563,881,236,695,537,880,
117,500,044,292,315,045,392,346,667,849,244,498,047,930,951,129,137,319,609,
136,690,417,350,559,758,495,135,662,725,607,295,411,443,183,768,914,539,963,
142,369,369,389,434,786,138,225,552,664,207,285,220,744,390,346,195,852,627,
008,327,314,031,462,975,226,134,463,339,109,724,475,494,743,864,998,388,794,
572,935,608,484,421,865,918,300,576,002,761,599,165,620,913,222,352,577,045,
121,780,736,980,683,604,343,983,457,724,909,965,318,871,652,653,149,896,335,
453,819,455,778,523,874,285,604,502,432,114,417,105,748,328,135,882,457,579,
052,281,146,699,506,587,813,292,019,745,235,435,320,529,240,741,020,380,082,
735,225,017,332,883,751,823,751,151,548,755,578,904,759,540,245,834,879,435,
317,764,162,467,331,934,779,135,062,880,462,391,966,073,269,463,519,796,006,
382,580,924,632,952,952,535,472,483,101,193,280,074,024,575,812,357,391,760,
280,260,070,708,701,954,404,367,319,162,919,874,108,903,733,618,979,993,922,
620,666,693,555,046,342,392,271,662,539,277,244,142,976,216,108,053,099,185,
575,278,954,124,879,241,842,225,826,872,512,849,983,959,232,930,790,966,545,
497,485,549,495,187,993,806,324,788,450,367,377,504,247,809,033,141,177,763,
376,929,628,512,646,516,403,827,952,668,748,526,416,206,188,856,149,586,737,
992,715,241,241,286,968,254,709,577,344,597,759,347,410,442,001,326,533,348,
304,716,875,367,000,534,597,977,174,276,923,073,476,541,657,105,926,250,943,
250,305,386,002,033,533,995,000,826,159,841,993,941,827,388,265,490,690,125,
926,648,533,746,325,413,870,147,223,752,435,651,046,870,720,436,342,094,170,
967,986,244,055,090,632,282,070,649,282,145,515,535,459,489,544,890,580,890,
499,381,098,606,225,169,142,227,892,302,207,309,411,952,603,665,573,640,479,
575,131,466,029,146,781,690,473,067,285,123,371,627,646,769,388,428,537,807,
482,984,913,817,996,523,148,781,178,315,117,924,251,140,532,917,085,300,113,
047,814,610,908,024,379,301,644,502,465,689,161,787,806,741,074,234,850,217,
788,798,397,344,693,934,347,770,156,307,642,867,053,406,771,778,048,061,429,
084,778,202,273,457,933,451,694,081,916,274,039,216,367,930,925,568,796,331,
869,503,143,448,852,970,953,164,914,776,544,581,293,526,967,434,137,488,555,
615,714,936,626,031,141,625,322,078,081,238,806,595,016,712,994,630,805,991,
888,274,020,401,528,881,434,662,052,912,852,143,330,932,196,471,864,377,566,
419,415,903,851,117,606,219,901,504,772,326,032,679,546,117,827,311,931,483,
522,094,675,925,152,492,994,383,043,558,827,594,458,414,335,783,914,889,268,
111,502,665,996,311,507,195,978,982,658,709,528,291,753,158,516,991,756,144,
577,936,533,580,212,129,364,565,310,220,671,213,858,097,562,828,649,162,109,
399,307,890,517,119,351,279,700,976,255,715,181,042,315,374,733,402,951,879,
892,855,075,557,559,146,997,609,343,407,813,698,645,957,721,539,193,003,141,
646,670,787,267,133,744,686,190,900,503,162,842,174,663,905,084,935,092,960,
004,934,199,477,449,936,451,560,605,592,746,279,385,194,922,219,793,350,704,
834,845,913,505,818,307,510,370,897,449,065,160,957,833,530,598,242,661,065,
772,052,166,489,023,873,688,912,456,228,375,077,566,851,137,071,695,038,547,
800,672,263,992,749,512,769,970,107,136,553,849,336,905,843,730,890,871,987,
737,288,379,863,422,931,785,467,356,563,684,790,168,760,038,051,180,420,583,
522,382,554,981,279,308,147,794,773,554,955,881,400,655,920,291,571,348,501,
264,328,543,392,203,514,577,706,134,785,318,471,115,213,136,243,813,853,654,
430,234,104,679,088,087,327,913,613,253,490,980,831,031,211,264,452,413,870,
081,466,489,301,557,133,896,833,455,779,850,783,388,098,958,461,555,938,511,
783,290,527,296,819,972,695,755,202,998,023,589,419,403,987,076,679,035,428,
998,575,698,995,429,784,975,065,801,152,321,009,497,441,571,375,140,345,077,
892,842,802,556,995,820,602,503,327,769,839,346,608,167,680,041,982,186,492,
399,564,437,433,594,068,520,370,402,462,207,513,247,292,597,141,212,290,807,
246,170,803,255,988,816,978,492,368,151,859,063,025,844,480,983,245,637,653,
140,513,493,357,388,494,820,608,522,600,187,061,278,523,763,470,154,995,620,
306,290,532,725,150,790,099,988,046,334,527,087,970,528,853,782,100,521,304,
839,208,934,790,793,554,756,577,267,647,848,658,796,273,445,049,674,334,006,
400,629,333,671,251,897,839,467,986,161,945,660,572,785,609,512,466,149,924,
459,847,237,916,496,917,650,648,975,205,783,949,821,019,460,581,612,505,424,
148,253,396,517,043,766,642,706,739,257,949,119,094,862,728,014,606,634,564,
347,618,755,826,078,640,714,467,787,614,689,676,245,671,435,365,575,341,058,
659,703,804,418,814,100,080,874,906,790,208,893,263,604,615,126,729,394,625,
506,575,868,574,974,099,625,596,428,399,217,404,483,587,411,998,400,675,367,
923,367,944,548,547,040,361,716,017,297,366,600,396,219,607,110,576,433,096,
130,225,240,547,155,944,214,612,463,375,297,271,125,871,355,679,432,046,738,
983,950,049,609,805,731,376,072,602,608,752,134,154,620,126,148,081,261,736,
156,805,996,442,150,845,211,426,670,649,263,645,516,534,110,079,309,540,992,
682,400,865,887,219,490,673,603,684,129,654,899,029,394,254,325,899,728,298,
083,151,650,229,885,477,868,157,846,160,312,420,691,183,185,596,320,771,828,
832,500,533,743,645,765,320,289,531,097,067,293,026,325,311,627,859,336,735,
888,755,161,712,812,979,625,728,013,403,668,514,994,695,047,190,632,633,906,
702,104,658,811,635,845,743,530,094,726,433,114,108,189,108,786,748,212,478,
062,430,771,002,400,952,327,968,576,945,646,311,089,341,726,979,351,077,677,
522,383,840,833,691,830,446,443,914,162,539,978,431,502,203,183,424,986,883,
026,215,714,270,432,110,250,085,324,986,034,009,602,038,918,324,560,314,495,
804,887,773,309,795,521,954,362,007,811,535,350,859,936,703,708,929,145,250,
528,091,618,232,866,497,128,830,019,848,020,896,095,441,214,301,545,908,485,
490,065,636,016,057,242,711,980,865,177,079,961,993,730,122,125,728,586,371,
029,757,255,065,043,248,690,514,071,416,100,079,659,995,117,279,917,986,756,
913,375,733,802,696,340,894,045,245,755,951,430,358,273,769,203,669,475,797,
942,904,082,813,376,211,750,158,865,399,375,525,114,370,524,662,372,858,049,
434,763,112,548,222,073,776,684,883,459,016,455,434,988,683,264,833,768,581,
293,972,706,936,255,237,665,084,274,804,742,095,828,915,364,632,626,643,921,
652,434,816,128,858,111,580,911,416,348,825,942,791,668,574,881,197,913,385,
547,689,653,065,060,397,420,339,003,543,139,607,927,151,192,543,803,078,316,
227,568,080,353,942,840,786,375,359,878,589,252,208,249,873,043,624,594,908,
947,157,218,297,200,542,746,973,125,169,250,760,496,872,334,962,447,126,712,
202,577,022,308,699,273,095,713,246,886,233,375,196,211,821,531,936,219,909,
962,453,727,213,775,826,387,903,964,225,690,103,013,816,485,161,537,866,459,
223,587,851,721,759,559,363,434,672,820,216,107,282,015,430,857,891,666,959,
630,243,293,199,941,433,471,130,562,040,405,642,990,963,684,977,990,091,898,
324,101,073,867,136,253,756,983,757,427,125,341,021,574,465,562,918,461,891,
261,262,207,372,597,535,151,035,691,192,375,454,569,442,577,621,251,156,678,
270,365,050,595,393,835,943,709,258,964,892,007,296,922,541,813,632,671,702,
868,247,196,276,560,574,264,445,841,975,589,075,544,969,785,343,618,302,024,
135,246,457,625,214,789,612,165,210,255,015,543,966,256,759,605,803,293,189,
791,250,276,764,396,603,270,056,743,209,067,686,588,391,636,354,458,167,910,
440,242,610,511,873,611,743,366,510,504,196,515,087,140,414,385,557,755,067,
793,926,524,191,815,754,237,277,916,161,134,347,484,235,798,496,550,805,676,
584,109,500,247,093,886,223,586,205,691,482,200,819,771,301,086,466,753,467,
673,898,781,320,679,378,198,818,456,379,887,818,869,143,957,879,442,310,996,
380,887,344,595,576,575,880,054,304,800,711,897,595,334,068,858,859,996,202,
565,166,948,462,671,510,317,773,663,931,245,754,292,964,930,775,595,319,443,
463,394,070,125,221,452,570,811,813,264,764,326,139,412,687,334,262,229,034,
345,949,249,495,550,683,317,314,861,740,602,811,512,298,287,550,801,986,079,
975,060,016,702,324,777,189,964,773,168,962,112,996,690,250,391,800,014,179,
504,764,926,458,569,205,105,371,642,852,848,753,459,784,907,115,502,229,725,
119,950,428,794,960,707,638,258,625,800,472,810,106,970,591,441,181,042,704,
279,149,489,117,078,518,907,448,273,912,509,487,040,165,747,048,689,055,101,
752,458,061,958,486,142,844,817,954,781,136,396,357,562,070,342,375,332,611,
572,563,579,706,336,633,070,192,159,359,198,764,237,410,057,827,251,620,383,
688,701,894,203,406,366,398,732,156,198,015,196,724,558,484,554,058,482,111,
938,120,447,621,255,324,574,567,438,834,152,516,768,798,267,046,597,077,940,
364,060,765,261,528,140,496,768,455,684,875,014,975,979,673,920,095,230,369,
038,708,161,696,286,069,029,402,687,665,325,820,768,076,884,033,452,330,196,
576,959,115,653,567,306,819,955,499,633,793,019,690,623,232,449,309,330,834,
980,028,456,287,326,836,595,218,780,470,340,222,857,313,784,838,197,473,294,
492,480,776,362,480,194,142,071,095,081,370,549,619,473,379,804,992,760,863,
278,661,025,163,808,755,830,611,830,505,571,496,614,221,250,356,809,238,332,
113,173,309,391,286,665,149,270,474,074,645,671,437,663,446,020,488,936,738,
690,580,529,697,132,472,988,737,262,183,329,740,737,309,703,142,168,254,378,
021,421,661,563,205,381,087,915,954,410,152,980,327,282,500,056,761,955,568,
417,898,720,914,397,545,601,349,216,093,873,854,612,503,297,630,415,889,132,
305,383,231,050,443,795,615,180,771,409,508,503,137,241,202,126,046,386,255,
299,241,190,773,979,516,833,321,520,727,422,007,539,349,754,596,213,662,156,
000,415,872,538,390,586,766,649,638,432,367,461,812,769,970,181,558,749,433,
645,995,045,202,795,440,525,368,719,440,312,271,701,479,914,075,770,314,583,
265,882,582,103,336,752,038,861,868,532,690,072,158,006,814,275,500,491,166,
240,071,781,980,767,071,895,714,776,205,026,519,864,406,632,872,199,353,392,
014,495,252,249,982,835,486,164,333,569,108,180,446,103,225,122,775,714,463,
306,443,061,692,189,481,522,332,932,415,257,246,952,574,148,075,344,599,152,
932,169,650,186,702,126,857,105,503,573,069,136,277,035,665,603,050,127,550,
813,127,161,808,371,351,325,432,579,315,299,604,367,661,329,175,911,906,595,
019,601,838,585,686,078,233,772,349,678,197,243,954,177,359,899,529,025,148,
125,895,261,406,481,902,350,606,665,526,870,691,580,307,139,362,670,242,551,
672,588,271,418,709,439,118,374,157,427,375,454,093,601,513,694,956,792,421,
499,125,423,117,567,965,873,986,911,800,983,531,145,249,950,941,844,435,286,
253,372,913,358,226,359,126,500,405,897,392,600,188,240,548,018,133,894,091,
611,162,768,665,049,473,213,439,557,203,696,094,038,902,230,719,778,166,616,
504,452,720,098,731,474,314,077,791,400,827,301,593,276,311,992,353,178,271,
601,597,982,176,189,657,211,869,530,542,932,191,605,230,152,317,612,796,207,
845,924,449,514,070,777,518,459,734,655,892,659,408,497,796,590,235,453,177,
686,706,489,559,486,618,814,276,924,632,758,451,966,313,989,110,025,986,604,
689,049,960,194,145,889,237,337,102,036,969,615,515,955,466,367,147,385,935,
961,247,045,842,347,174,845,214,884,223,598,738,266,604,781,996,078,375,805,
759,530,765,772,008,188,133,852,097,233,472,389,983,492,837,000,026,468,786,
286,683,440,857,545,975,034,337,558,434,177,347,209,309,455,603,132,452,709,
169,133,789,417,707,198,019,283,322,513,369,396,511,809,518,041,142,649,483,
134,945,020,842,372,204,008,788,209,677,332,037,077,682,294,532,750,637,517,
409,858,637,218,094,164,670,770,230,583,395,054,758,457,268,094,524,309,019,
339,990,143,361,159,849,978,521,514,301,216,822,085,183,415,909,241,246,238,
597,859,106,306,835,160,255,132,799,570,955,469,985,524,328,441,708,572,275,
365,324,212,147,101,372,845,195,845,554,676,789,720,773,758,236,886,242,606,
442,254,455,162,681,462,239,973,081,754,693,140,353,204,312,009,623,157,265,
647,696,374,132,005,658,981,746,575,766,680,181,056,458,789,367,327,418,795,
045,964,810,620,608,353,886,130,732,595,021,651,018,436,989,682,309,059,732,
598,584,464,334,675,054,646,762,868,788,858,467,805,610,220,918,105,214,893,
850,384,691,427,821,065,545,868,874,197,011,935,638,496,981,746,727,777,694,
934,145,291,281,425,989,641,553,844,740,662,860,056,030,167,957,097,203,465,
580,945,017,018,156,355,595,250,359,798,989,122,127,955,089,221,472,480,781,
104,243,010,779,684,766,290,352,465,399,685,115,727,828,490,713,543,708,323,
594,791,232,185,376,377,490,927,808,735,256,769,840,670,787,038,414,895,932,
777,795,180,975,559,142,152,513,394,696,799,436,790,923,949,300,095,355,474,
257,726,190,949,905,684,846,704,260,171,599,247,418,341,321,233,349,933,910,
482,837,959,481,689,737,177,073,418,034,725,409,069,392,307,093,094,220,106,
765,949,867,075,837,500,267,516,510,372,321,215,459,985,617,381,273,292,167,
121,291,989,374,455,028,276,723,689,672,213,072,015,818,421,498,338,141,256,
498,573,781,688,936,662,705,001,160,884,883,734,314,965,231,104,571,495,771,
127,549,565,767,923,908,834,010,992,372,675,187,379,742,339,775,959,115,573,
413,100,298,836,193,200,496,200,640,065,990,419,174,460,338,227,245,314,467,
438,004,168,129,608,623,013,150,680,630,172,706,704,137,650,058,460,030,735,
662,598,293,460,967,986,001,645,000,298,422,994,718,488,815,454,972,607,605,
137,585,581,151,377,894,444,553,840,648,700,234,470,700,262,013,810,502,648,
786,278,307,901,594,837,323,889,979,117,684,874,086,743,574,536,810,787,982,
032,707,850,318,584,728,177,580,681,899,554,787,089,757,229,679,729,713,517,
788,995,645,723,857,376,428,993,157,854,317,549,743,993,295,597,459,187,229,
724,849,224,298,318,143,556,940,204,984,701,662,639,577,669,955,418,979,061,
439,106,084,674,747,931,207,644,537,935,186,190,831,829,505,250,216,277,355,
929,787,350,763,212,702,586,759,575,125,384,957,857,113,247,826,598,964,088,
195,415,464,455,147,768,280,334,585,012,009,262,350,867,582,961,729,432,651,
342,046,753,609,621,429,871,896,917,137,056,643,454,199,320,973,385,277,860,
253,102,210,087,668,952,385,036,483,401,965,413,418,117,185,290,038,241,257,
929,244,583,507,723,150,417,421,122,228,760,757,130,054,927,945,650,756,282,
314,133,198,190,839,289,279,065,909,074,292,588,448,669,856,646,289,193,239,
316,419,114,824,009,952,761,642,230,525,784,095,689,473,724,538,826,919,054,
431,399,197,523,807,410,952,602,979,245,706,204,142,823,620,879,136,650,919,
817,317,636,727,478,284,625,246,456,954,620,448,520,017,972,382,344,385,828,
598,139,139,995,857,645,353,755,476,998,081,519,381,832,056,933,845,824,411,
011,359,276,352,524,651,839,287,672,945,206,547,111,865,390,968,980,044,226,
356,706,342,399,094,736,971,225,146,132,285,397,615,894,074,987,612,194,708,
263,981,707,388,948,085,775,718,939,555,495,768,377,206,084,393,401,695,963,
134,561,371,007,148,721,358,812,129,099,784,435,742,961,596,226,780,802,144,
435,470,370,860,607,201,331,554,756,433,821,866,618,280,330,363,645,647,848,
198,081,837,002,545,279,328,129,700,552,308,701,204,178,601,930,324,724,185,
750,294,372,847,849,856,772,484,275,741,397,741,223,659,913,536,397,407,799,
067,817,213,795,919,386,017,276,845,267,130,288,071,464,700,753,291,647,893,
279,603,852,341,257,445,261,142,185,259,823,869,461,425,569,631,691,362,358,
872,702,852,976,353,775,845,996,967,249,366,949,810,871,687,043,715,872,338,
067,706,241,713,576,155,799,559,983,741,702,131,931,797,788,655,979,229,312,
911,657,396,654,690,051,130,878,257,131,281,133,632,541,101,055,744,696,202,
399,537,126,750,333,951,703,313,767,447,042,933,870,342,077,417,238,357,836,
575,325,574,555,613,682,486,353,894,725,763,135,090,221,191,577,205,888,664,
323,158,062,549,836,266,496,889,732,603,252,720,243,998,809,787,486,310,101,
002,782,988,769,248,553,025,420,270,118,672,463,069,221,548,263,842,868,537,
956,933,285,564,485,990,436,924,920,505,542,225,957,096,219,781,248,617,524,
587,233,393,896,237,342,652,582,588,645,659,192,067,307,673,612,933,188,385,
466,779,415,083,476,340,130,338,233,413,154,575,497,890,800,870,310,827,748,
213,167,406,420,697,715,292,405,733,616,191,697,895,579,840,410,347,408,193,
816,197,319,267,582,723,118,002,442,701,568,850,179,680,577,288,625,909,204,
954,822,733,059,660,754,259,745,457,803,532,668,725,597,756,420,784,179,986,
415,996,333,347,809,614,155,010,727,307,336,434,129,146,660,447,222,531,692,
503,952,187,701,226,358,139,976,391,375,761,962,475,622,368,358,369,067,993,
516,307,524,117,557,465,906,994,369,127,414,499,278,357,134,098,908,738,278,
729,566,250,334,109,841,521,938,766,975,656,978,849,912,558,157,806,344,604,
666,617,443,012,473,191,388,582,446,391,613,710,543,876,332,260,044,188,017,
918,855,973,641,258,616,540,931,825,155,339,507,278,900,953,844,076,896,523,
420,366,668,223,617,846,859,978,717,952,014,044,494,911,219,906,882,173,487,
460,877,881,036,149,051,005,340,685,410,850,059,466,264,356,880,688,437,587,
469,409,342,599,480,921,193,055,283,899,737,541,190,518,832,419,539,276,708,
315,796,061,608,047,082,042,022,702,296,373,218,931,074,137,423,381,885,156,
267,221,990,550,235,963,529,912,172,481,031,187,296,464,186,115,812,737,443,
398,997,359,375,382,772,442,592,477,242,534,392,336,909,803,555,198,902,785,
217,329,331,104,502,079,362,088,881,142,188,904,757,085,184,981,622,191,374,
184,734,123,592,995,227,740,179,614,621,980,955,624,648,066,711,030,896,462,
669,174,593,165,466,440,143,504,172,067,869,682,152,670,966,391,699,983,400,
752,739,169,115,363,329,715,777,899,590,013,735,222,754,932,125,872,891,435,
026,792,295,980,318,342,330,836,184,447,092,993,659,128,078,542,641,165,686,
955,093,646,364,927,870,284,585,953,914,383,547,240,894,895,778,347,038,854,
470,349,309,732,390,398,711,149,709,969,076,474,955,174,646,681,203,858,388,
748,413,438,084,123,291,701,615,798,600,287,789,640,734,918,587,767,680,370,
869,135,092,784,394,714,209,221,139,451,116,532,964,917,257,779,231,898,168,
943,538,341,065,930,453,084,103,867,005,506,017,530,532,640,150,372,957,322,
054,183,825,559,297,728,720,258,213,444,624,768,000,761,424,508,135,180,424,
225,184,886,000,028,944,891,593,701,926,360,740,182,336,403,078,447,873,525,
507,251,339,970,278,388,104,242,982,972,215,350,598,122,786,701,244,002,675,
055,548,404,720,811,857,551,731,785,608,240,202,252,661,424,409,544,903,462,
079,944,291,873,236,081,949,155,237,398,292,755,026,961,309,559,571,468,062,
094,027,741,703,122,861,455,405,276,383,760,837,459,270,999,373,288,127,720,
609,587,978,741,723,495,369,870,610,438,125,556,481,459,098,908,692,717,999,
852,043,245,847,583,793,734,719,451,186,863,813,125,033,046,178,039,205,297,
042,624,875,756,567,950,877,639,282,876,732,999,735,910,301,184,461,193,615,
066,926,373,075,829,956,296,307,946,722,576,348,178,278,413,527,327,841,160,
828,595,387,372,963,113,770,700,782,833,098,871,127,759,180,482,971,624,084,
929,711,971,200,722,982,051,188,369,223,035,932,332,079,120,725,775,620,786,
543,034,460,057,526,384,219,866,063,504,739,125,931,849,549,456,772,785,446,
450,523,325,945,365,277,550,852,060,492,781,970,453,815,050,685,912,242,613,
869,158,996,104,579,474,432,013,789,754,983,828,847,408,894,744,026,616,155,
345,056,637,413,447,000,011,919,597,015,484,567,076,500,949,352,169,146,302,
028,253,356,346,857,352,377,095,417,599,998,954,897,770,500,557,173,687,343,
176,695,130,860,373,154,392,595,130,454,406,895,922,100,025,880,810,964,975,
154,174,832,706,280,391,077,668,992,314,912,537,446,798,435,264,287,663,462,
833,864,093,259,661,834,504,026,473,628,613,275,761,943,583,814,572,589,986,
665,811,653,724,707,682,297,774,856,596,680,664,527,059,720,106,056,798,708,
502,733,498,451,396,286,917,382,884,959,690,380,425,094,348,324,335,417,807,
175,668,680,150,334,213,293,675,119,238,125,216,097,513,937,477,249,858,173,
324,037,625,685,548,562,054,747,197,853,836,284,919,881,413,170,406,098,523,
054,080,050,788,377,308,478,225,146,853,612,731,877,553,832,007,935,801,467,
947,471,397,615,628,966,897,119,545,755,898,207,732,544,552,637,915,710,361,
042,752,630,395,896,155,494,240,924,795,755,050,355,178,340,560,366,604,916,
823,452,572,348,007,866,825,893,551,721,649,868,135,040,655,094,523,912,240,
259,683,788,043,579,783,484,677,689,090,804,808,426,356,663,776,199,869,518,
400,569,512,481,081,744,448,283,647,085,001,985,376,363,873,946,952,478,176,
573,109,012,802,505,805,710,153,437,896,874,488,124,951,192,555,637,559,491,
800,292,467,956,474,725,273,636,892,056,993,943,065,856,370,614,773,182,589,
154,023,194,753,129,738,190,199,268,925,701,176,472,394,637,125,724,235,351,
279,568,455,148,805,359,091,403,642,988,814,151,471,332,598,926,587,598,583,
637,759,327,491,255,199,334,111,371,080,436,142,937,804,652,837,296,971,961,
722,084,499,143,733,695,769,907,276,993,386,648,506,736,502,670,622,493,658,
848,149,756,798,018,284,086,652,238,244,457,806,252,707,378,223,076,296,654,
464,053,740,155,916,349,596,981,216,702,941,178,011,038,471,991,327,082,691,
517,938,700,369,560,202,826,906,290,055,289,195,547,095,224,949,476,198,168,
186,217,302,917,031,108,661,402,163,282,178,266,184,859,198,203,613,400,930,
008,088,595,055,940,811,296,812,264,468,365,322,552,135,103,858,927,857,331,
449,498,468,323,627,614,369,581,231,822,918,810,970,573,445,879,255,193,421,
523,343,415,591,270,099,051,161,973,568,600,171,256,486,595,623,524,043,743,
816,841,477,678,262,005,851,924,539,298,516,816,185,970,559,766,017,801,666,
700,718,738,240,062,226,769,372,971,878,533,867,842,890,453,824,249,798,383,
948,506,583,025,850,964,854,809,086,883,988,315,429,978,600,832,973,984,209,
684,112,386,373,077,646,463,294,881,952,215,359,454,290,481,827,540,996,148,
057,278,648,067,591,253,273,626,352,877,359,636,056,961,347,952,251,826,382,
975,840,639,368,843,343,242,719,566,765,487,176,645,981,529,311,550,243,791,
901,218,825,738,067,255,499,272,083,144,992,473,756,152,962,738,318,149,642,
036,707,040,261,875,701,809,260,684,362,767,933,275,904,202,560,516,018,471,
737,005,282,412,825,493,097,629,720,043,717,395,524,158,632,484,176,141,766,
358,205,124,887,248,726,882,365,716,795,379,183,527,822,464,551,531,320,032,
241,990,096,324,985,389,183,350,229,292,649,830,514,117,992,869,400,125,900,
603,117,865,022,944,354,756,097,881,182,026,900,607,051,283,254,304,641,427,
697,632,477,369,688,013,458,205,282,289,006,862,654,371,033,754,809,865,038,
537,356,996,557,978,176,540,730,043,292,152,420,217,043,960,718,176,035,892,
145,456,839,492,358,033,207,528,932,023,932,109,688,452,800,890,256,320,227,
091,771,206,825,420,958,605,981,153,691,714,973,997,605,343,941,640,800,489,
413,295,866,345,390,081,764,422,131,342,163,028,396,821,405,851,317,727,006,
963,485,161,225,365,665,382,616,316,360,939,384,422,764,842,807,616,005,836,
392,922,287,548,658,128,809,301,904,939,967,132,530,378,336,862,886,470,087,
446,884,214,617,382,420,952,178,450,478,771,466,045,636,031,921,575,352,651,
632,762,929,866,667,445,893,758,322,968,781,626,439,027,430,620,838,090,690,
249,994,468,058,598,374,430,155,293,614,784,658,572,397,275,878,829,113,127,
951,084,782,087,071,190,638,537,379,473,317,483,162,308,572,121,838,395,034,
735,288,869,806,335,629,357,589,087,489,503,039,782,881,207,761,658,991,079,
589,808,344,971,026,503,838,811,043,105,337,384,519,729,661,438,665,695,136,
594,648,075,779,313,952,340,052,329,656,056,965,172,379,094,789,782,897,141,
161,035,066,298,872,547,226,088,330,821,040,527,694,229,511,015,795,227,678,
573,979,244,509,343,665,265,377,123,467,112,082,745,566,613,876,976,079,795,
212,878,893,468,866,038,301,470,547,184,795,896,977,270,924,533,815,430,180,
302,145,094,821,549,452,550,900,391,859,021,419,356,156,192,689,122,761,167,
021,308,431,872,264,701,790,136,513,223,194,100,267,845,616,523,629,597,707,
202,136,013,601,351,690,944,438,276,539,198,693,208,252,972,065,243,294,787,
229,784,193,864,415,722,578,569,925,297,464,157,700,363,185,748,500,521,988,
294,270,309,008,569,533,503,935,368,564,620,109,306,390,432,142,894,995,318,
111,877,341,762,442,758,545,730,124,870,544,889,636,505,589,064,749,568,879,
395,974,346,056,602,500,239,704,850,292,728,282,582,771,489,229,299,586,710,
256,137,991,687,511,538,517,671,480,223,328,896,373,705,414,198,523,760,407,
704,150,070,544,222,898,805,030,884,943,480,887,708,946,542,581,467,006,641,
658,890,466,351,360,245,459,140,342,739,718,178,799,549,077,525,993,193,824,
459,058,277,103,332,930,359,821,595,860,746,314,115,444,110,385,902,353,309,
896,897,615,914,538,186,527,710,833,748,364,306,269,149,091,257,494,420,573,
465,628,239,230,080,955,483,147,906,580,269,067,595,378,902,215,197,019,707,
861,049,328,857,063,536,957,176,444,969,137,874,995,145,035,637,964,807,273,
234,770,861,673,215,703,929,858,511,680,559,393,672,662,878,538,250,178,863,
472,328,842,704,632,657,804,823,622,253,840,439,606,683,945,492,916,494,837,
355,139,226,489,626,192,057,432,708,737,720,529,254,349,179,333,661,127,238,
902,270,663,291,145,416,690,363,374,726,694,986,047,825,501,801,353,015,421,
852,925,688,827,735,364,855,806,271,753,025,604,431,933,853,567,038,775,863,
313,088,360,909,990,160,225,511,210,846,923,210,536,180,224,066,811,883,510,
970,070,907,375,923,640,988,367,086,836,638,973,796,721,222,222,945,000,226,
074,845,453,315,796,419,517,252,808,959,656,042,464,685,652,779,507,424,117,
287,863,618,383,445,564,213,529,025,648,511,822,766,127,046,936,437,515,296,
470,090,070,916,160,835,402,881,598,333,917,198,289,190,803,546,234,195,295,
561,951,015,693,026,092,631,319,480,637,756,158,443,945,688,002,636,412,766,
214,257,481,661,424,475,849,032,448,539,270,492,037,420,407,203,533,554,099,
069,591,558,236,221,322,589,751,198,249,352,730,111,532,096,161,358,231,759,
617,381,516,873,286,283,508,668,076,934,546,166,902,934,054,844,670,225,191,
797,097,503,675,849,290,824,241,186,023,686,994,342,726,460,304,429,340,211,
166,290,458,507,255,157,834,039,417,607,001,841,651,281,420,449,859,310,015,
430,445,589,939,617,399,597,409,121,466,019,220,703,160,764,018,138,712,207,
528,534,906,175,349,795,785,399,599,575,778,919,207,130,828,162,379,813,342,
784,326,863,014,758,025,702,281,126,348,657,709,454,430,384,146,189,145,395,
367,903,245,512,105,507,161,894,557,828,860,177,574,298,725,505,580,470,595,
845,266,166,560,771,597,321,534,541,290,414,800,111,453,653,629,899,316,213,
663,619,487,868,815,350,882,400,244,758,505,584,318,819,088,042,293,534,296,
484,735,756,435,814,026,153,373,165,957,609,431,500,816,600,950,026,628,360,
784,502,405,946,429,907,030,236,768,370,217,051,711,885,989,117,062,856,341,
674,539,085,723,499,733,436,740,491,826,306,202,576,781,058,445,903,578,207,
770,333,784,781,757,292,098,329,488,564,270,015,664,285,695,683,291,551,727,
889,188,359,445,842,966,133,975,506,905,134,854,265,398,351,356,273,028,600,
262,222,089,810,798,377,248,202,679,474,639,975,093,463,299,573,562,899,441,
212,549,546,570,342,373,102,986,280,619,230,299,497,227,714,296,660,181,891,
590,434,604,373,696,825,786,624,728,145,564,847,552,619,884,774,113,565,435,
678,374,036,532,271,842,155,961,461,193,144,189,588,432,048,722,420,832,031,
010,308,333,235,085,987,942,048,206,720,896,012,008,728,930,124,281,097,129,
651,833,886,234,707,934,932,726,296,407,280,534,835,980,959,471,396,345,826,
432,231,871,143,592,961,092,477,254,475,388,349,367,237,206,358,170,420,435,
609,139,982,221,364,776,467,373,783,329,993,831,539,166,865,341,319,138,982,
883,128,896,602,234,455,264,035,857,170,436,905,710,007,814,016,574,101,512,
187,603,556,515,105,701,258,872,588,858,097,361,143,517,276,415,736,478,761,
869,667,749,177,440,374,238,190,302,650,945,546,209,861,120,370,258,254,944,
245,257,740,545,564,554,431,763,928,345,045,512,389,512,893,589,853,478,509,
127,464,098,470,208,456,680,837,320,155,392,275,154,029,987,905,198,734,106,
489,373,058,365,470,740,810,531,745,449,234,513,920,547,566,646,375,237,966,
968,394,169,409,192,886,725,872,777,284,492,113,625,764,607,531,536,094,006,
537,915,725,171,754,555,726,599,144,038,476,770,675,055,317,702,876,658,494,
714,565,850,756,661,852,326,932,958,519,896,077,257,221,971,789,394,254,683,
164,722,084,219,525,804,040,463,963,348,017,969,074,216,462,755,191,307,515,
577,093,959,051,680,467,602,777,005,960,866,012,948,618,125,485,791,026,209,
323,441,185,545,201,770,493,690,731,192,238,890,570,679,871,578,614,945,253,
474,007,875,449,868,696,000,387,213,509,811,141,195,553,223,526,253,876,094,
481,603,178,801,528,986,780,832,145,775,640,367,856,596,443,170,603,111,905,
936,877,685,390,276,491,952,024,347,842,003,478,404,596,533,932,374,196,738,
141,412,408,782,268,674,966,371,103,789,916,206,919,082,217,937,172,623,090,
838,032,445,681,760,005,864,857,078,060,765,862,130,652,564,621,173,007,445,
012,641,812,030,974,671,311,328,932,297,477,784,442,184,097,790,404,942,915,
080,184,517,539,774,188,816,294,342,177,344,509,254,710,120,646,184,372,925,
230,136,238,855,173,612,055,886,645,440,125,384,094,629,227,630,731,554,688,
632,091,466,172,962,974,507,519,500,456,113,615,106,038,630,988,710,137,248,
978,409,022,930,269,277,678,249,039,825,749,307,490,019,048,438,808,586,982,
381,550,265,733,093,563,454,656,254,246,147,608,161,844,577,859,336,795,389,
558,636,013,383,490,098,496,451,829,290,823,534,676,495,044,844,503,321,345,
835,694,969,054,326,706,745,596,425,495,663,587,838,359,372,569,086,896,430,
208,181,211,658,118,516,901,439,481,916,083,372,658,966,021,672,901,535,799,
281,867,326,914,321,597,423,565,409,607,373,510,729,500,513,166,408,164,861,
113,049,786,595,750,080,256,424,644,913,702,405,451,686,805,581,188,691,500,
738,369,799,374,365,224,488,122,167,376,661,654,569,481,673,264,817,772,734,
243,570,433,206,253,625,294,151,073,599,870,385,755,706,039,198,764,480,741,
858,763,289,824,073,171,179,312,060,556,319,863,055,197,741,463,535,718,362,
584,144,989,843,296,521,113,383,726,762,000,298,813,654,642,482,888,053,890,
346,145,382,453,098,354,075,846,541,033,000,226,264,247,477,095,653,723,094,
060,827,942,139,255,961,854,337,211,678,810,234,245,992,181,152,115,987,859,
991,807,591,631,325,554,094,040,792,178,611,671,526,755,681,113,739,125,924,
440,611,434,185,467,953,263,338,161,284,892,899,017,433,526,072,323,450,309,
568,709,722,235,201,105,472,425,666,719,032,236,630,696,089,469,889,779,856,
716,233,386,679,804,754,145,098,032,728,467,118,061,665,428,258,940,547,863,
444,137,391,737,278,227,288,834,068,826,893,591,090,909,567,887,834,107,672,
657,307,676,346,463,090,393,392,804,155,428,037,204,909,237,222,026,694,231,
212,536,119,551,886,567,720,102,843,867,550,881,841,250,915,897,240,560,258,
299,483,412,838,301,140,437,518,109,845,874,354,839,338,538,741,781,387,092,
166,437,627,461,304,952,790,823,485,860,371,016,903,745,089,114,019,281,144,
417,348,316,325,628,398,194,001,773,484,968,049,432,826,807,806,762,161,127,
620,231,336,248,778,678,715,516,266,218,051,201,104,122,593,840,730,334,250,
371,168,016,084,683,765,734,083,328,229,086,934,146,814,268,951,333,616,961,
393,089,484,195,820,004,454,507,109,084,281,161,175,864,892,556,415,337,250,
903,356,768,039,286,264,505,197,235,222,083,550,335,668,928,273,929,967,952,
219,514,379,537,360,955,962,244,005,356,666,222,325,384,305,929,390,088,393,
277,394,614,908,560,878,779,310,399,662,612,863,799,573,442,034,077,723,541,
762,516,708,641,597,012,856,117,341,879,284,206,429,566,657,122,398,457,769,
972,071,446,292,966,994,746,030,774,618,124,120,230,658,491,292,608,563,760,
567,268,542,219,958,946,309,303,045,056,616,962,029,723,006,802,260,409,692,
778,900,869,088,028,659,441,930,048,627,628,916,716,508,619,889,008,978,175,
674,299,134,456,322,838,413,521,855,695,316,845,748,398,387,003,539,490,045,
375,258,369,692,672,782,034,020,261,663,060,279,191,851,595,517,685,127,846,
866,367,482,787,234,524,516,910,855,931,464,879,584,565,276,871,555,412,457,
234,767,415,643,188,739,816,553,200,152,086,718,304,210,997,227,861,442,359,
076,962,342,178,171,829,332,055,207,189,948,849,857,037,554,587,383,112,362,
533,206,260,986,414,239,738,797,816,093,265,154,157,022,441,287,608,820,463,
049,833,169,773,694,418,045,973,658,322,716,245,527,065,196,643,651,488,526,
295,527,303,873,064,550,896,951,313,421,947,556,769,826,838,546,809,123,540,
671,432,726,994,265,201,979,622,467,941,812,308,921,475,789,346,581,522,509,
519,578,952,080,105,637,982,465,785,181,583,461,557,252,981,056,151,315,012,
693,644,209,513,780,892,001,260,874,538,045,400,411,350,990,625,312,418,638,
523,231,992,557,936,756,612,763,556,331,815,540,876,782,640,419,763,199,119,
623,630,662,460,228,043,673,999,484,408,172,331,157,150,820,654,565,817,302,
785,822,158,109,602,622,527,960,401,749,807,979,049,002,860,719,879,255,425,
791,045,386,497,332,542,499,968,806,212,710,201,104,786,967,540,315,986,999,
156,052,377,915,185,753,945,478,718,451,009,140,372,002,830,618,838,855,172,
934,782,017,670,512,097,689,684,427,796,081,303,166,839,312,680,316,199,978,
434,702,772,901,769,157,676,388,374,100,058,720,666,942,447,433,843,149,766,
477,973,985,235,949,729,626,487,207,226,063,918,058,094,389,333,729,250,740,
521,477,779,659,054,035,989,820,260,508,466,047,246,786,202,119,124,420,852,
015,264,167,769,656,972,859,960,664,256,598,347,225,708,751,385,116,864,922,
314,649,588,958,535,132,913,605,767,418,347,069,104,237,745,023,915,304,364,
471,121,575,033,441,647,196,398,376,330,445,366,983,090,208,562,535,049,222,
669,215,096,211,045,757,658,486,290,123,879,834,528,369,337,818,402,745,707,
094,247,210,542,704,732,781,420,637,715,071,203,070,401,767,782,654,376,514,
200,535,393,051,535,705,375,577,400,515,736,895,425,545,566,499,833,727,433,
503,139,092,462,366,976,154,212,519,417,942,270,933,325,143,245,537,957,351,
913,548,124,415,721,940,745,714,747,268,071,320,545,749,794,188,296,570,463,
365,660,418,359,808,485,386,936,931,382,476,457,760,195,375,226,884,923,768,
394,144,039,614,162,289,674,500,903,383,041,747,985,487,839,310,314,048,685,
988,519,697,332,785,736,858,828,456,867,121,853,086,294,528,892,787,539,039,
864,814,426,032,992,484,878,840,627,958,847,247,778,913,594,776,614,134,773,
452,755,197,176,129,645,846,463,832,459,982,204,773,078,596,053,499,691,596,
519,272,487,733,280,825,418,012,775,164,550,100,163,363,962,955,158,621,246,
860,382,311,777,955,955,265,805,039,374,602,107,567,303,694,940,640,543,823,
295,136,271,055,214,936,538,318,372,365,019,162,787,819,047,295,218,302,655,
568,224,869,356,831,273,991,380,908,087,293,747,671,514,407,855,096,048,376,
711,059,816,445,862,904,375,722,651,859,715,321,722,558,054,356,302,696,218,
074,404,587,409,073,019,365,773,862,613,451,107,888,893,682,936,039,057,766,
883,145,077,486,058,813,379,055,654,735,192,320,375,244,663,442,829,824,698,
590,892,939,738,158,858,129,162,691,885,369,440,721,725,139,266,933,886,425,
095,333,273,124,118,233,978,955,010,216,938,148,607,072,688,952,266,962,365,
529,339,592,362,859,149,831,854,349,633,119,769,974,481,030,613,497,999,253,
746,287,668,690,936,938,450,963,969,268,824,843,589,140,647,067,808,910,057,
921,596,990,211,233,886,322,357,908,755,033,045,501,345,557,269,285,185,590,
716,303,710,636,735,752,346,899,018,608,946,718,001,949,528,615,461,556,294,
973,466,862,422,982,670,636,405,029,258,012,265,853,748,919,713,116,138,652,
869,622,157,008,274,128,080,426,570,196,506,718,175,010,699,133,500,140,788,
780,694,142,560,468,130,527,613,348,596,832,800,705,554,627,143,778,430,091,
663,486,503,562,004,453,041,865,430,381,761,400,416,324,770,692,344,055,749,
506,277,355,114,296,741,419,611,634,178,975,516,361,412,682,101,583,832,873,
080,244,782,131,308,474,252,003,280,261,693,033,052,856,525,371,896,079,285,
294,605,899,352,306,787,671,198,379,959,902,220,589,520,945,311,802,661,938,
244,131,236,688,859,642,185,823,637,570,444,657,922,041,373,744,362,854,935,
640,638,857,171,999,277,917,659,928,373,032,812,413,457,273,611,034,881,578,
897,987,450,267,191,595,714,560,911,465,530,704,231,140,063,137,893,695,927,
067,882,929,852,127,088,556,480,036,206,571,715,912,919,579,339,734,366,118,
262,317,621,019,996,481,397,112,925,431,875,393,818,302,817,548,751,853,145,
074,044,909,857,591,554,623,783,613,744,309,996,563,878,347,056,880,214,901,
313,427,320,771,227,129,160,896,940,275,348,109,438,771,447,963,592,869,011,
023,169,159,843,138,599,147,403,955,335,259,652,259,029,190,916,166,686,053,
624,246,752,789,642,769,158,468,032,978,107,908,471,708,982,473,061,614,439,
008,387,809,881,348,533,489,217,423,713,457,360,119,943,777,667,201,254,303,
698,043,097,674,883,622,774,427,068,094,216,359,566,952,931,165,853,330,157,
239,644,125,470,700,399,451,891,650,199,960,502,204,041,412,983,362,970,617,
276,890,537,685,361,334,067,535,388,175,858,959,311,090,425,232,692,754,959,
736,550,746,401,642,833,853,729,224,321,212,114,473,164,714,397,743,382,648,
297,637,951,440,026,505,831,588,393,480,330,829,844,064,287,140,450,180,033,
123,558,939,951,019,590,218,589,950,239,294,652,511,179,513,848,159,255,611,
183,029,112,932,667,653,648,307,938,247,751,591,439,885,888,134,782,186,874,
975,592,772,628,571,934,300,027,870,353,526,756,925,448,869,041,590,898,835,
550,048,497,027,173,654,593,677,013,108,059,235,217,817,231,252,548,187,809,
438,664,504,857,256,376,271,470,741,858,247,396,874,595,544,813,785,935,739,
383,300,497,754,184,205,243,455,036,723,616,730,854,804,851,811,101,345,380,
184,783,717,517,008,640,318,795,748,983,194,509,627,627,704,421,491,256,565,
694,820,705,936,562,736,748,667,395,671,306,585,341,109,169,597,109,607,487,
834,930,939,172,225,942,868,189,035,407,364,876,393,051,818,077,896,431,220,
875,944,669,972,039,140,743,297,103,005,240,033,644,535,424,099,351,083,657,
977,899,164,716,649,073,001,379,132,520,655,136,946,505,167,087,227,477,033,
530,010,912,085,678,302,069,247,428,842,818,266,684,338,333,258,395,770,310,
768,614,150,764,069,111,753,717,677,277,569,315,169,242,645,100,421,612,275,
461,406,597,633,528,048,717,482,372,812,208,071,541,883,301,842,559,720,036,
572,759,914,051,433,609,821,321,095,098,602,668,595,311,501,546,916,656,985,
655,281,961,141,603,478,080,378,732,453,220,818,945,452,686,692,291,549,864,
758,956,677,018,182,621,528,482,360,390,920,438,597,703,618,926,385,871,805,
241,645,069,306,761,719,007,895,097,262,826,350,522,145,502,995,157,435,074,
535,329,423,452,340,668,897,045,935,614,822,664,608,429,087,159,868,525,008,
452,914,582,014,044,721,456,651,027,233,627,508,870,486,042,722,844,093,368,
713,467,687,630,607,939,606,862,623,340,085,358,366,020,210,699,239,958,152,
860,335,544,087,291,899,588,662,791,862,331,244,034,709,803,850,784,688,397,
481,776,152,054,215,244,650,062,155,364,239,485,786,485,378,607,398,484,496,
074,080,863,996,152,745,868,954,795,896,489,002,996,935,941,382,351,499,491,
037,076,130,535,166,339,851,307,357,108,353,616,239,038,390,669,451,514,080,
882,789,901,257,912,834,206,103,429,404,451,199,515,838,423,668,448,063,502,
235,307,331,148,109,507,399,856,135,905,154,208,195,248,461,341,064,908,189,
086,781,942,584,604,820,308,141,368,388,733,256,218,919,726,246,852,262,187,
115,135,515,960,121,508,452,820,952,788,751,185,738,181,813,807,016,307,430,
190,978,125,040,843,104,962,723,357,023,119,521,771,869,316,456,632,017,061,
489,888,159,182,217,765,317,072,701,199,352,090,056,619,881,078,499,105,689,
739,474,777,352,799,642,627,518,563,197,842,666,887,404,933,996,278,771,334,
977,351,565,611,479,399,936,473,878,765,474,982,231,109,955,693,478,075,192,
063,407,525,237,719,865,079,704,722,625,582,392,513,603,094,991,347,072,375,
977,448,403,924,428,849,507,456,634,845,406,309,713,452,479,258,942,579,155,
397,342,588,558,796,230,141,958,323,260,036,392,758,858,469,452,720,706,643,
121,489,713,517,138,950,783,180,293,483,177,758,027,650,299,408,721,682,442,
584,728,308,513,862,329,603,986,198,961,654,603,338,667,175,247,988,577,732,
379,735,265,124,944,838,185,613,290,438,433,956,296,369,489,618,267,228,789,
274,656,719,657,002,325,261,567,564,920,429,787,562,875,914,934,891,289,190,
598,171,020,884,281,615,628,280,972,444,920,046,387,988,425,439,687,860,250,
824,809,944,170,916,852,559,640,074,302,923,558,518,813,901,482,935,643,577,
210,796,452,432,509,015,606,822,795,362,539,394,162,870,861,490,495,181,035,
836,867,167,210,713,758,786,929,501,636,162,976,313,357,274,684,291,610,114,
338,077,368,105,697,736,108,745,028,524,151,875,044,206,114,940,826,819,660,
457,439,903,798,170,627,597,052,561,590,481,027,826,801,551,452,492,485,273,
796,836,255,551,615,252,416,471,427,588,476,464,731,916,382,637,342,027,936,
270,212,626,163,188,489,148,959,642,047,580,781,962,495,463,547,910,705,186,
605,854,374,609,261,235,120,929,124,092,311,406,848,280,739,878,768,910,259,
658,478,238,487,581,866,118,911,874,889,208,479,151,273,232,571,883,628,110,
847,646,882,431,388,157,963,464,402,053,825,238,111,293,804,876,457,572,278,
702,331,988,846,867,432,703,159,841,582,656,093,644,011,452,957,688,953,360,
086,908,812,294,397,193,565,991,049,679,409,169,969,455,933,581,663,396,073,
446,576,224,606,831,971,057,693,079,391,969,977,306,732,065,000,240,802,200,
042,698,600,787,207,441,675,161,071,968,445,922,172,117,599,067,759,214,359,
228,514,342,226,925,189,758,238,206,769,541,828,944,049,869,517,400,034,394,
293,622,904,721,557,280,240,851,671,798,483,267,952,197,680,722,579,533,052,
099,802,937,799,588,257,841,562,367,063,074,325,794,184,483,211,263,336,948,
534,237,247,767,393,006,965,905,801,486,408,921,158,535,243,063,139,914,472,
354,622,400,894,406,807,912,904,769,541,725,981,897,548,785,692,408,972,412,
265,076,556,600,987,124,528,842,103,290,568,044,826,131,085,072,016,874,591,
439,301,149,988,840,547,334,792,977,938,143,257,017,087,736,147,746,293,735,
652,703,220,575,284,023,318,260,860,542,360,326,273,674,412,775,893,417,471,
194,346,768,437,151,707,715,966,475,927,940,252,484,445,762,917,990,290,195,
179,187,286,995,325,281,031,252,614,069,438,257,061,135,796,466,042,816,990,
419,511,114,190,330,080,212,897,517,461,252,755,567,319,276,289,941,135,770,
404,425,297,050,561,721,841,029,840,117,242,162,914,909,078,763,832,959,808,
874,137,962,255,240,320,520,472,048,120,432,613,321,765,577,572,055,573,767,
460,567,563,465,436,999,448,984,073,484,186,273,864,806,055,518,783,495,196,
549,183,776,757,242,886,088,869,443,476,077,983,530,800,343,442,029,057,858,
260,974,215,870,474,023,361,721,067,568,679,525,890,304,909,880,079,630,728,
125,934,551,625,544,404,726,243,598,696,204,502,930,205,403,692,101,752,396,
634,336,355,707,437,373,633,789,967,734,477,393,325,303,209,998,417,256,711,
596,786,205,422,704,811,502,818,427,148,176,795,466,335,891,372,014,449,665,
598,477,393,014,619,605,207,547,026,111,363,044,057,493,195,156,523,500,701,
001,375,708,874,171,606,483,793,822,116,859,158,228,102,172,437,675,002,371,
203,811,919,479,322,925,334,120,301,214,316,767,221,131,211,508,847,850,156,
022,923,667,137,981,578,568,467,372,041,461,891,749,014,307,641,230,829,057,
436,134,997,896,438,477,957,242,170,644,420,801,426,697,830,656,860,093,892,
038,365,361,498,634,021,203,071,540,025,512,609,956,619,573,216,438,996,651,
797,980,489,152,379,992,203,709,998,020,675,087,154,959,064,002,486,014,649,
500,074,872,514,514,558,482,867,499,828,850,376,431,405,462,462,303,859,535,
566,536,509,905,616,227,889,953,342,829,408,060,234,368,014,769,348,239,670,
853,344,061,318,124,128,630,547,840,173,729,573,488,060,817,586,528,815,333,
457,971,266,889,006,357,581,201,245,752,802,084,532,435,954,379,045,441,092,
671,264,997,326,084,142,320,662,067,389,356,621,038,809,389,028,740,518,697,
002,511,139,498,670,003,728,470,592,517,942,719,589,404,779,307,915,329,870,
151,297,262,870,444,792,716,798,954,088,003,383,374,813,324,616,767,410,675,
437,205,151,877,692,778,492,738,833,440,230,014,998,322,103,007,043,236,562,
278,434,090,966,688,095,222,411,845,834,281,951,091,061,958,509,782,598,841,
220,297,434,890,627,290,781,234,411,543,814,782,626,256,987,094,827,788,854,
856,145,346,461,500,873,891,151,873,947,692,675,577,610,317,935,653,394,086,
774,674,256,446,226,505,554,194,631,899,580,271,576,103,663,008,802,398,017,
050,420,541,134,699,292,474,824,440,973,601,900,424,250,136,603,255,523,042,
791,094,831,794,567,994,978,483,070,626,255,710,658,976,755,390,661,254,250,
500,863,409,600,475,579,799,280,970,544,033,743,961,536,082,179,931,205,417,
946,007,026,040,394,979,699,703,040,350,104,616,266,414,131,097,349,114,530,
689,194,601,128,570,546,164,790,416,902,442,858,324,403,595,956,285,545,683,
861,498,972,006,327,163,401,708,145,540,550,270,911,835,573,679,938,776,130,
470,286,014,504,589,695,807,283,069,143,519,017,797,502,641,800,264,030,166,
425,287,625,160,346,054,460,010,758,460,570,319,915,781,850,352,507,530,799,
874,176,107,119,469,373,680,815,371,412,628,902,339,946,265,322,762,644,878,
705,480,053,697,952,770,291,441,857,375,297,582,144,792,910,157,911,380,945,
181,207,679,574,897,413,970,619,319,596,837,830,522,841,353,530,168,052,447,
684,298,266,946,212,912,522,509,588,032,785,248,865,712,187,151,055,834,984,
042,073,464,730,414,728,561,275,795,672,531,251,719,420,342,156,443,745,307,
990,708,587,762,807,835,860,503,019,234,282,178,199,399,458,681,684,914,138,
732,565,863,831,800,195,630,067,585,710,178,528,859,926,363,347,151,213,419,
329,614,225,712,800,187,934,404,958,282,413,589,415,587,218,348,113,785,516,
516,971,377,220,153,321,512,844,182,719,284,230,167,975,068,544,553,056,304,
706,380,482,519,653,886,296,852,053,093,679,847,672,300,127,008,489,496,719,
811,108,838,659,899,016,725,041,213,276,944,810,898,321,353,307,071,415,637,
754,783,366,698,968,360,612,869,415,688,989,695,695,298,706,431,370,698,744,
359,505,282,201,523,949,602,577,967,933,764,926,357,232,036,043,429,314,942,
206,129,599,062,706,901,203,610,563,060,049,503,471,262,348,181,012,729,754,
846,432,241,025,804,792,825,143,470,356,503,677,566,399,789,875,349,407,757,
108,923,687,845,764,935,310,204,719,920,771,395,390,202,728,718,738,411,958,
124,716,765,664,949,505,991,211,289,634,225,822,474,916,569,450,589,320,797,
459,782,150,148,346,635,501,204,513,469,519,202,931,989,456,406,900,441,098,
646,308,765,446,464,691,233,219,131,475,290,782,966,731,085,918,899,886,337,
571,113,372,295,125,296,809,768,504,331,154,383,411,385,317,927,731,353,896,
624,640,429,555,135,690,116,413,066,545,010,195,743,536,487,746,957,545,923,
645,874,175,852,309,780,171,306,670,831,851,046,034,964,893,458,790,359,914,
748,597,602,676,661,505,251,826,917,890,380,340,129,622,234,606,053,295,524,
308,927,910,642,019,136,265,112,005,871,529,073,685,943,622,300,775,570,797,
601,277,611,281,233,005,752,653,875,193,083,640,659,228,425,416,423,176,274,
251,674,825,480,167,196,184,785,549,961,023,959,867,175,900,493,253,723,058,
566,727,049,643,679,236,288,455,253,047,628,223,938,229,393,860,196,620,441,
186,190,914,806,653,633,240,137,349,779,844,919,105,463,575,422,566,653,949,
367,475,193,814,639,664,901,226,923,516,548,262,376,357,926,723,289,989,031,
316,874,167,929,376,080,718,107,774,220,359,076,329,458,784,457,693,521,310,
446,662,712,986,081,311,840,985,460,796,117,110,170,126,464,793,661,111,495,
844,376,412,788,079,355,418,354,008,817,899,070,431,508,112,544,612,204,659,
116,094,055,910,508,816,882,025,689,902,224,906,113,682,352,932,451,509,266,
288,566,159,416,177,382,862,615,057,775,425,931,582,913,976,383,751,249,644,
855,015,848,692,210,765,772,837,697,652,912,327,506,291,581,290,969,093,374,
639,040,835,836,098,485,403,349,054,495,924,247,673,216,946,680,416,826,311,
085,393,390,080,084,645,060,739,856,119,695,529,615,466,644,154,232,028,298,
511,113,813,597,218,494,479,436,085,892,317,514,602,630,235,532,945,223,980,
823,981,061,811,409,018,795,541,865,819,081,279,784,844,120,065,398,626,677,
682,879,196,041,394,950,522,356,362,732,237,110,283,619,953,547,593,030,740,
624,604,013,515,131,920,184,004,749,763,177,769,854,275,308,869,842,421,431,
342,187,840,923,700,988,023,839,008,142,746,753,380,600,997,190,063,872,321,
756,301,290,769,464,950,625,506,470,081,147,171,033,366,012,812,302,864,683,
628,741,849,058,694,358,451,794,112,258,882,295,226,615,408,099,743,766,674,
596,615,907,074,365,909,009,787,100,506,753,104,056,039,661,163,572,970,649,
846,137,118,450,217,894,577,807,450,527,438,214,405,253,184,197,947,489,759,
981,127,217,402,994,076,035,448,864,862,438,529,251,100,925,195,877,264,236,
009,730,084,109,347,050,706,295,549,041,624,091,316,338,584,683,437,076,666,
943,567,535,653,172,627,263,746,102,994,084,399,466,270,838,111,904,511,692,
792,602,217,333,235,876,969,639,587,947,315,468,227,101,754,295,442,359,326,
544,727,860,636,857,944,577,520,045,563,888,131,073,189,679,147,986,705,163,
609,420,589,100,644,316,589,074,762,510,790,850,731,268,716,802,397,547,813,
909,531,978,879,699,020,782,526,780,701,977,932,569,049,254,042,537,150,706,
395,442,628,038,859,219,398,669,387,049,261,204,602,952,648,215,866,755,335,
019,166,695,571,706,762,711,539,035,182,060,517,861,369,504,736,661,017,366,
592,349,226,791,700,904,208,774,208,402,480,974,485,469,078,067,028,548,605,
876,670,479,143,279,958,260,605,236,660,923,231,796,417,611,315,516,298,103,
437,426,299,911,313,463,769,613,738,804,617,164,434,236,265,893,409,118,536,
767,230,875,671,237,104,587,129,390,810,004,698,149,914,388,599,746,628,361,
940,983,157,791,459,121,876,160,513,725,997,918,296,224,078,053,137,738,180,
988,416,879,476,927,435,533,384,364,171,031,727,735,269,670,170,169,930,837,
231,980,853,946,371,922,461,469,753,805,853,721,454,636,993,953,293,791,927,
753,747,735,816,440,176,830,235,611,591,405,950,826,566,038,865,789,656,289,
232,470,482,536,625,368,749,404,362,463,616,771,603,352,327,287,161,415,797,
588,996,153,533,714,810,218,620,995,673,060,380,095,997,257,655,434,298,413,
200,908,278,512,388,735,304,399,552,846,215,867,093,537,664,976,715,305,237,
130,910,619,061,063,182,517,966,528,613,562,234,947,272,017,771,027,378,797,
590,113,476,173,169,208,644,615,127,286,118,313,517,298,672,966,162,208,179,
309,363,643,350,861,267,273,996,697,816,433,850,791,291,954,682,845,054,681,
672,594,659,001,392,148,578,444,572,601,845,965,068,885,123,487,120,217,075,
904,360,095,643,660,528,585,082,013,216,047,625,273,356,739,950,876,810,696,
286,697,467,980,641,238,871,444,365,365,960,556,386,731,753,973,938,892,286,
992,713,760,852,842,251,946,953,034,216,549,299,653,785,545,012,424,921,901,
200,603,073,219,841,726,984,804,380,403,613,012,250,959,206,687,732,872,480,
718,000,960,633,831,789,893,088,459,211,926,351,911,882,333,172,459,287,310,
732,733,881,586,327,651,010,722,555,301,170,111,749,800,267,199,843,055,345,
716,570,368,620,642,384,627,908,854,875,577,293,842,985,952,587,418,474,010,
069,266,965,165,595,515,872,793,934,051,756,253,592,938,977,254,780,689,379,
926,302,667,068,032,789,251,154,944,985,590,589,827,025,074,124,847,368,034,
631,489,598,625,592,669,353,023,476,379,681,795,488,189,916,058,485,198,669,
888,732,511,610,479,239,866,178,415,189,201,720,052,822,119,131,020,619,118,
919,924,663,022,496,367,343,685,971,854,164,294,749,090,063,332,138,874,631,
301,426,167,814,020,603,943,828,314,045,479,517,193,666,642,628,524,093,784,
709,841,380,937,302,644,351,635,615,326,765,173,462,924,030,116,949,610,339,
383,353,579,141,803,586,562,608,937,865,034,258,387,880,436,302,279,572,620,
204,164,768,717,615,011,188,980,056,319,602,253,864,364,742,462,197,104,583,
035,974,908,339,262,547,882,997,521,633,920,385,955,952,199,887,509,854,910,
721,137,635,616,319,093,861,668,491,891,043,875,038,206,778,980,571,309,558,
551,417,701,722,088,770,334,762,425,926,728,592,185,433,232,253,607,143,715,
274,710,996,658,732,423,845,166,323,445,214,288,911,788,164,056,283,232,794,
023,254,765,607,156,703,518,739,936,769,202,206,121,473,841,764,050,196,441,
048,565,655,356,585,146,680,688,333,483,674,472,811,777,986,870,947,127,350,
005,790,670,483,750,864,389,421,196,021,533,514,747,910,399,540,609,862,857,
752,002,751,798,958,211,360,103,355,201,270,745,281,526,603,146,533,656,358,
440,886,569,193,834,025,667,601,094,682,217,454,364,040,204,666,754,600,597,
857,744,192,675,772,369,484,854,316,548,992,857,483,941,770,569,741,214,909,
728,245,945,135,286,186,379,182,186,419,809,875,819,564,368,107,618,164,663,
871,098,216,688,811,002,282,279,357,236,062,967,930,240,958,482,640,655,426,
526,726,196,041,353,927,566,329,644,024,954,287,018,014,194,434,471,346,328,
536,134,562,652,581,762,193,066,129,184,148,684,334,632,602,169,078,247,919,
649,627,448,989,132,283,193,873,085,950,851,013,250,939,463,474,624,739,866,
546,441,362,048,063,727,040,758,666,885,153,955,639,151,557,952,700,277,167,
784,436,366,574,559,727,280,839,962,069,620,519,804,900,527,576,642,704,001,
635,134,861,998,843,747,211,616,112,629,901,098,917,039,757,010,077,495,813,
463,172,834,941,770,927,561,211,782,463,787,803,019,676,019,930,255,986,590,
143,792,734,110,189,435,410,314,659,507,930,323,711,544,458,545,402,915,266,
776,169,361,567,292,684,142,468,309,880,092,638,759,768,010,535,345,137,575,
803,845,832,190,999,534,101,861,692,890,723,540,564,928,111,768,470,562,427,
032,641,365,842,759,368,750,671,902,365,683,653,600,929,871,357,656,601,214,
216,116,599,161,097,892,713,066,334,099,460,932,335,334,493,016,870,988,857,
064,321,234,610,275,263,312,611,072,629,286,780,702,756,001,396,204,083,995,
050,798,314,223,304,411,409,048,904,588,754,707,631,191,246,979,096,754,915,
061,205,254,020,723,210,013,181,971,365,614,569,722,085,453,240,404,871,655,
912,454,450,253,244,378,185,520,638,076,028,631,437,673,182,504,102,378,114,
689,126,014,469,026,441,454,578,840,126,321,282,507,893,244,442,050,341,796,
331,843,974,828,119,773,072,268,209,465,122,446,396,567,353,843,093,455,997,
779,137,204,161,528,309,451,357,121,053,045,538,580,493,215,911,881,296,523,
168,347,254,785,874,272,828,463,255,171,311,719,270,383,264,265,482,897,647,
841,493,358,168,712,339,467,114,598,106,540,269,760,666,324,971,191,588,126,
329,863,087,378,012,617,120,235,804,196,031,140,357,110,993,131,738,557,456,
266,496,852,306,969,243,331,433,744,911,042,834,891,899,472,835,789,301,802,
856,386,410,120,505,198,678,297,357,184,678,878,803,076,318,683,044,290,709,
317,934,868,605,998,934,121,539,206,842,563,033,064,836,964,924,115,030,058,
612,888,740,363,215,224,633,004,415,857,686,674,963,982,737,851,577,089,555,
989,942,738,801,841,159,939,720,685,602,795,151,099,290,673,023,760,035,389,
884,308,376,865,790,734,271,916,803,435,289,126,058,099,593,215,588,662,065,
815,382,694,944,701,147,882,841,295,635,182,421,870,798,258,909,227,844,071,
762,177,381,479,208,235,768,833,572,147,568,187,901,052,720,336,965,814,363,
721,894,468,973,019,594,330,682,766,337,473,182,095,968,872,796,899,850,271,
682,408,986,167,994,859,509,566,213,294,074,213,761,577,700,337,262,120,800,
604,264,956,612,246,731,351,096,108,223,992,916,336,568,051,401,530,312,337,
087,776,491,252,932,309,940,777,684,456,961,866,844,119,061,410,169,429,989,
486,641,388,367,053,911,330,107,772,889,363,148,885,938,738,505,024,530,061,
833,161,093,246,704,058,248,747,569,486,246,440,135,694,867,395,824,959,090,
937,293,241,650,330,282,029,404,659,039,591,898,649,581,780,184,392,332,440,
988,376,656,816,153,309,149,885,396,129,010,570,437,412,234,968,452,153,802,
458,874,478,553,833,339,594,009,691,400,087,502,058,280,517,922,639,922,556,
020,126,934,799,012,435,515,737,722,531,054,815,992,046,332,122,308,142,623,
673,742,602,859,455,324,319,466,892,107,302,892,652,886,099,960,189,962,278,
888,327,282,365,239,941,595,239,045,305,202,518,230,653,443,897,540,102,510,
006,821,372,196,612,455,131,925,717,366,864,605,041,636,497,130,429,108,332,
374,974,935,547,968,168,527,100,740,440,214,397,506,692,046,909,029,117,141,
216,282,449,898,706,119,703,705,689,955,154,462,587,908,291,116,895,545,753,
034,563,819,092,587,553,746,835,223,761,302,996,652,655,772,758,658,722,081,
491,902,989,076,711,185,171,656,590,421,688,749,942,565,339,305,069,454,289,
427,695,996,177,540,840,367,421,482,529,813,736,840,232,152,372,165,454,849,
001,765,321,680,272,909,516,966,379,370,279,248,883,856,144,533,431,033,072,
341,483,006,706,241,449,861,332,126,925,761,016,765,028,571,071,972,501,563,
623,932,394,965,444,479,969,589,778,215,662,790,115,813,181,604,534,035,257,
371,682,054,735,851,205,390,024,549,205,146,676,741,948,129,640,773,865,876,
658,950,531,062,683,077,450,605,113,937,084,360,988,226,829,030,981,701,800,
663,222,474,342,953,406,527,610,154,152,674,417,259,183,986,592,332,260,294,
189,565,141,041,277,264,766,788,387,461,775,784,420,053,622,512,930,909,686,
635,512,208,710,821,146,920,648,332,022,560,100,859,148,637,365,968,296,332,
201,703,675,710,054,470,415,735,119,717,362,254,596,963,975,756,164,056,040,
240,661,699,295,986,375,843,207,100,940,234,180,289,022,147,562,756,016,725,
421,906,881,928,990,696,709,148,030,958,765,241,728,860,313,684,742,405,494,
012,407,938,378,708,848,658,912,881,805,767,769,326,479,292,819,682,315,009,
754,989,832,439,822,116,026,955,576,115,071,811,529,824,184,405,001,922,895,
754,165,292,714,670,135,926,557,373,331,553,252,312,896,784,535,199,334,467,
682,121,723,186,427,541,310,440,437,846,052,964,398,654,021,426,439,814,304,
675,262,351,810,877,923,995,364,530,685,947,805,486,748,235,524,955,050,987,
071,934,610,657,736,100,337,433,521,557,112,869,845,322,592,896,599,923,068,
065,758,761,783,936,558,710,772,424,081,392,796,906,084,196,361,415,460,340,
424,580,383,954,931,775,994,545,429,438,205,641,690,533,743,652,494,241,715,
586,641,976,959,523,516,076,154,348,255,308,282,680,758,138,881,104,490,668,
803,275,182,491,630,312,633,553,165,886,406,667,909,150,214,634,305,957,061,
579,095,855,715,073,533,804,070,458,178,388,351,129,977,711,635,126,868,058,
752,085,188,806,269,281,774,508,416,541,095,700,585,486,677,120,641,297,086,
552,287,083,599,416,056,546,047,351,426,313,455,807,361,152,478,505,588,416,
567,548,311,497,302,104,043,326,056,232,758,606,972,273,058,993,485,415,139,
431,959,866,818,345,158,280,096,696,244,815,753,813,502,758,219,829,924,421,
420,267,769,409,195,705,286,416,961,156,931,395,771,079,618,202,842,186,454,
172,349,656,115,128,719,003,746,899,462,907,545,386,280,296,477,540,679,893,
313,409,791,264,986,681,067,232,151,132,128,175,450,604,028,733,189,011,248,
510,063,142,858,839,774,373,757,651,572,153,001,574,128,314,266,526,628,873,
032,744,392,260,754,439,903,792,657,731,883,325,835,138,884,903,032,090,657,
799,715,657,323,328,370,675,471,051,406,037,756,830,662,264,626,081,355,286,
496,119,752,716,680,275,082,913,561,829,252,983,468,169,599,942,522,071,747,
045,256,384,771,456,529,229,894,814,712,562,736,164,210,374,060,364,393,113,
603,889,134,009,968,402,877,874,628,418,557,206,119,800,124,804,882,269,064,
940,954,302,320,603,209,718,710,170,139,769,129,665,009,633,655,061,669,754,
972,160,465,177,274,547,315,069,030,302,221,475,985,788,525,530,053,548,302,
727,694,191,625,189,362,605,588,341,254,188,899,856,128,377,670,262,271,444,
645,087,551,361,694,469,410,456,637,281,908,284,322,971,671,990,931,657,297,
316,679,242,455,078,395,523,033,459,139,384,012,626,869,824,400,669,161,020,
016,543,210,398,542,426,669,205,141,246,411,603,831,893,216,883,666,804,937,
151,922,475,280,558,776,631,961,688,426,216,807,808,109,693,771,418,426,324,
960,270,137,921,207,849,141,499,303,198,278,639,522,872,136,987,918,833,094,
040,160,552,572,580,080,931,796,295,627,282,268,246,529,333,975,650,286,499,
630,933,378,064,075,108,196,114,361,414,952,187,867,642,213,987,792,761,535,
996,146,503,351,797,447,063,182,378,380,624,959,079,242,520,307,733,156,436,
148,554,694,396,509,037,410,961,363,632,407,853,561,808,466,789,252,396,405,
835,138,665,494,266,241,949,282,948,808,795,888,425,108,360,443,229,105,567,
534,896,355,285,529,938,588,405,790,762,921,748,252,814,954,848,780,758,689,
132,528,261,391,153,221,780,148,779,839,362,463,797,356,511,753,143,797,946,
147,686,967,122,418,419,574,580,228,591,103,989,344,611,102,363,574,231,208,
203,285,101,588,229,720,809,564,693,051,825,743,308,528,052,605,196,400,331,
969,847,732,491,257,351,957,317,605,809,230,579,154,150,830,753,894,172,953,
993,109,360,966,853,692,173,375,578,138,451,485,584,037,661,805,224,550,031,
885,191,813,463,252,814,536,081,959,107,421,532,776,860,366,594,186,634,184,
454,226,588,138,274,246,175,712,954,575,847,033,607,622,762,621,467,200,668,
903,816,989,136,554,069,022,230,056,759,758,670,700,214,050,597,969,826,958,
370,193,556,201,882,967,168,624,549,417,640,852,465,461,467,005,945,737,367,
789,637,399,612,898,728,261,716,021,913,129,238,784,235,692,976,155,814,619,
711,088,974,397,739,128,162,472,514,170,573,141,052,601,281,858,335,411,367,
134,545,704,157,363,559,055,266,496,770,715,597,507,946,142,062,036,470,870,
884,357,357,057,732,094,622,083,142,113,641,550,749,232,763,860,475,336,091,
118,664,584,004,921,782,089,526,361,715,695,443,449,815,711,421,922,298,235,
188,527,181,068,111,686,038,104,669,626,377,625,957,130,184,742,050,425,095,
763,358,615,635,486,876,942,893,487,237,127,628,538,789,915,427,453,560,742,
745,136,107,396,363,033,050,684,778,612,639,253,354,714,759,917,669,224,277,
066,232,422,778,574,068,024,697,275,863,014,760,669,154,854,729,539,260,166,
253,240,942,560,138,125,706,267,971,215,219,171,547,191,223,446,214,308,886,
066,045,647,223,237,156,804,161,317,449,763,800,484,496,229,403,763,595,209,
513,796,528,137,586,638,059,790,201,951,289,164,839,191,309,763,943,043,116,
827,559,613,345,897,597,638,884,931,560,971,668,817,993,956,136,933,186,857,
890,941,765,613,976,314,225,699,333,552,939,322,953,301,083,413,873,890,123,
076,319,481,714,329,233,782,265,598,149,788,333,229,858,732,327,793,917,266,
994,578,500,063,341,680,948,445,030,932,578,529,049,610,251,235,635,619,447,
266,323,241,045,322,843,966,471,767,664,484,942,437,505,593,534,901,778,925,
833,870,406,723,042,794,855,766,025,751,826,927,321,865,135,399,435,080,180,
673,801,572,818,523,155,844,292,427,548,837,461,058,806,541,329,518,155,919,
847,748,362,238,482,523,121,542,861,649,355,493,926,685,543,589,095,727,164,
010,943,498,288,870,600,410,169,479,938,108,614,955,028,000,073,302,827,183,
303,612,895,124,607,925,107,090,463,848,518,436,815,411,958,287,669,107,733,
429,190,774,499,506,743,303,775,190,664,820,015,556,792,600,763,558,092,589,
525,450,507,972,073,952,588,936,765,576,131,190,495,422,800,509,300,515,943,
663,545,088,676,083,139,132,109,864,775,736,145,900,216,593,264,604,547,603,
204,059,988,873,516,105,425,252,658,869,464,007,689,147,241,391,004,956,394,
847,852,486,697,874,441,396,482,018,027,304,321,996,037,798,195,628,770,516,
495,707,491,147,587,087,340,272,257,736,517,041,036,705,053,778,920,818,615,
076,685,253,491,967,547,015,775,291,805,337,178,608,093,848,489,189,349,249,
908,167,498,910,715,142,148,679,998,606,888,568,220,403,445,513,966,718,087,
042,027,324,424,585,299,272,239,993,940,384,798,671,469,810,196,055,118,203,
139,125,184,063,936,138,973,439,530,196,189,836,015,332,191,236,451,778,647,
435,602,907,057,868,635,261,426,685,571,078,033,366,847,677,510,814,155,475,
940,180,435,223,096,284,305,527,212,002,249,500,910,834,692,211,340,494,999,
234,917,340,204,571,702,168,228,828,155,889,277,580,135,124,239,866,263,494,
419,454,924,079,848,522,555,156,481,028,068,174,799,523,892,144,370,785,057,
090,728,105,872,307,217,885,206,803,218,265,830,768,561,928,179,619,566,286,
253,684,136,602,608,607,235,605,083,799,451,910,801,803,579,759,568,058,095,
187,794,704,639,202,246,477,848,460,367,522,561,590,798,767,988,954,938,014,
896,583,099,292,579,677,469,902,924,559,209,641,028,395,414,095,419,454,581,
958,262,691,256,920,519,361,395,249,857,109,006,871,186,885,820,479,574,386,
113,736,573,115,176,836,742,981,906,251,914,702,728,959,361,513,503,186,774,
983,204,768,863,771,774,423,689,387,861,427,627,558,398,699,125,077,572,799,
915,722,500,559,381,740,202,512,323,186,152,950,234,202,352,172,259,246,666,
540,607,057,671,893,891,902,543,527,196,181,089,651,183,488,309,700,639,114,
520,215,319,120,831,114,140,033,566,137,243,063,896,843,835,922,259,165,410,
182,811,675,991,961,453,562,649,554,132,431,044,179,795,274,066,235,771,448,
796,044,043,929,382,446,940,770,802,419,797,048,844,622,715,522,249,520,224,
783,148,689,104,789,882,547,466,361,260,415,159,208,236,357,917,581,479,908,
582,835,151,324,993,116,370,173,445,809,762,280,116,020,533,205,691,508,589,
693,919,187,409,979,279,559,556,098,876,762,798,749,754,886,951,716,800,492,
431,591,943,749,179,931,649,666,157,988,374,725,371,646,725,317,505,963,294,
364,247,362,575,833,893,847,939,833,052,111,704,353,081,790,409,046,022,505,
688,392,667,637,569,295,223,631,758,975,888,726,837,762,416,945,290,143,036,
154,177,289,208,726,205,751,625,191,510,505,749,229,995,065,018,000,901,730,
378,433,724,541,875,202,523,526,552,993,516,715,411,090,003,732,124,077,471,
155,255,649,007,507,865,998,219,822,792,558,219,184,497,436,728,886,876,067,
552,305,066,417,525,449,972,727,047,846,652,001,460,171,745,443,715,487,729,
900,901,674,161,490,344,300,505,529,742,687,551,629,734,236,726,680,155,315,
116,134,480,873,121,987,930,376,942,794,321,597,718,572,714,676,259,142,693,
400,998,760,365,124,687,843,807,998,867,581,724,977,192,289,703,956,915,012,
963,686,257,125,597,140,270,086,645,809,664,135,813,414,307,781,134,278,749,
919,912,596,264,714,953,881,213,028,097,328,818,979,224,872,591,333,339,674,
193,584,734,401,114,247,945,139,805,576,627,244,769,938,179,970,708,095,669,
519,895,253,126,258,484,610,734,955,102,712,656,779,972,476,787,758,993,923,
936,322,436,364,242,239,506,671,616,234,297,273,739,592,877,533,253,424,910,
409,054,141,072,974,271,386,934,202,590,501,025,662,810,310,653,437,513,148,
141,658,656,402,963,303,252,737,355,179,766,240,509,696,678,981,010,760,992,
678,125,210,649,993,377,442,186,051,381,611,289,042,134,507,790,352,123,058,
652,250,322,537,109,280,721,463,948,767,838,409,700,634,956,250,114,672,887,
202,966,550,122,263,899,423,204,311,548,568,591,010,571,969,276,375,619,693,
690,215,631,085,172,651,420,772,989,585,555,004,332,589,645,151,336,315,708,
693,594,230,836,059,933,684,074,635,503,020,155,966,668,499,665,285,828,934,
233,531,062,356,682,482,515,166,658,613,537,113,296,192,034,939,825,556,586,
988,287,900,514,492,498,112,779,247,430,213,956,632,735,606,161,371,155,993,
922,031,287,957,299,550,577,656,851,533,286,295,403,659,632,218,170,726,928,
593,604,039,742,213,241,843,476,412,669,008,571,853,291,437,819,363,155,657,
880,166,422,517,507,723,594,065,398,180,843,002,360,431,938,092,209,900,104,
807,923,442,335,758,185,665,273,907,108,040,949,915,082,289,550,824,450,345,
423,161,551,237,120,246,111,214,087,942,223,051,496,676,623,012,308,669,760,
854,564,628,989,206,883,787,609,580,424,020,126,094,240,034,130,511,255,812,
510,619,114,289,727,954,017,631,514,853,881,630,457,987,656,647,244,939,460,
382,869,104,831,893,307,387,138,275,962,858,538,702,785,466,215,678,677,180,
741,160,978,306,775,976,303,738,803,466,093,873,241,639,421,821,430,720,392,
729,851,562,510,499,842,028,578,912,195,325,211,018,636,136,924,181,490,792,
691,515,770,082,915,656,209,084,696,208,524,162,980,450,623,027,118,926,795,
366,671,410,984,164,439,254,919,870,800,289,073,550,038,261,865,227,494,279,
669,812,683,522,458,965,277,222,807,309,001,227,212,068,014,664,729,915,106,
595,872,126,204,301,732,319,223,788,611,525,697,703,580,659,050,763,031,350,
315,035,345,221,585,768,134,584,515,966,090,063,731,964,563,942,075,393,006,
956,810,226,712,978,359,199,339,921,561,026,440,630,665,125,540,220,686,549,
405,181,718,762,034,081,734,181,700,242,683,664,433,679,686,374,457,519,082,
293,084,484,468,826,025,582,831,665,690,895,960,721,841,679,050,628,756,368,
546,333,945,338,005,635,204,732,823,726,319,079,627,398,613,294,064,117,673,
012,050,096,854,894,612,719,475,139,505,989,285,112,571,152,276,962,619,514,
964,994,055,487,764,890,209,597,092,216,526,391,291,686,885,158,390,641,061,
174,274,502,590,877,333,249,329,287,736,194,049,336,102,423,714,549,651,966,
956,244,841,409,386,232,010,623,152,860,625,613,366,392,997,377,291,921,989,
138,173,702,361,451,709,043,998,922,962,279,345,990,131,688,821,993,648,760,
860,598,823,150,531,830,407,514,091,399,849,645,378,948,442,926,525,216,013,
657,287,265,437,088,818,922,403,338,917,180,132,998,750,757,600,477,670,837,
477,416,411,476,993,662,241,551,367,573,299,176,557,317,506,793,208,090,490,
785,789,023,301,118,188,681,604,249,662,962,200,904,991,466,336,592,867,813,
894,608,213,129,899,853,721,197,830,489,533,753,434,712,654,034,302,143,273,
287,142,673,233,923,368,019,956,917,482,647,578,431,223,665,040,162,318,494,
305,702,323,154,905,835,447,713,881,558,399,412,532,144,622,989,059,045,713,
742,906,925,284,256,783,987,227,308,918,973,346,447,395,462,959,360,933,770,
869,627,936,579,307,547,976,890,378,267,029,385,417,232,949,646,509,766,655,
561,519,913,900,259,635,152,444,278,654,046,451,480,406,827,524,707,444,306,
996,266,873,814,258,778,043,765,833,563,957,486,172,191,095,161,893,724,795,
947,375,411,103,304,536,145,834,177,819,665,967,965,964,087,284,811,616,255,
884,915,209,720,539,287,202,252,874,835,903,698,608,199,867,577,045,709,615,
692,976,118,412,971,848,137,033,845,619,048,871,686,488,750,452,284,889,419,
755,269,870,405,659,057,398,870,989,881,260,045,245,453,600,694,077,831,472,
362,490,362,259,866,232,229,097,112,114,912,465,111,549,809,236,293,994,980,
129,569,903,062,892,430,023,650,553,935,271,276,856,194,718,581,627,922,024,
627,679,766,202,138,300,517,695,874,689,616,046,561,358,825,060,330,127,149,
178,269,705,605,770,577,402,147,764,360,938,840,986,040,158,564,536,812,585,
933,216,949,792,425,000,592,322,710,024,883,540,038,689,826,313,286,629,777,
289,974,608,032,333,591,917,139,292,714,325,165,075,549,829,240,730,376,109,
819,830,515,508,229,600,532,031,392,828,404,063,722,679,774,255,991,778,555,
609,419,538,798,583,881,680,532,282,737,306,214,182,299,157,660,562,263,282,
803,091,964,125,305,883,283,348,645,065,976,361,135,423,165,554,116,599,606,
016,889,327,086,428,733,890,230,199,043,675,905,308,759,859,582,667,699,601,
270,616,929,728,621,134,699,326,193,253,774,631,155,120,759,867,868,099,330,
015,542,641,472,773,865,309,300,507,119,131,666,838,100,415,416,860,617,952,
965,876,611,043,171,070,339,071,905,516,664,343,077,967,727,996,992,682,409,
302,796,546,718,848,755,443,275,614,740,363,757,234,874,904,689,438,471,900,
885,098,964,308,778,907,489,872,608,579,287,071,390,127,009,049,410,072,609,
978,017,976,532,647,355,955,757,785,193,856,051,550,687,438,657,720,659,672,
036,319,197,427,889,855,687,406,822,690,439,794,322,154,245,512,118,700,037,
488,523,781,456,055,625,892,573,477,920,555,396,987,724,199,570,329,035,165,
552,110,103,020,875,954,805,760,965,676,786,582,348,690,784,848,579,380,045,
082,057,011,646,087,995,892,318,562,077,321,745,586,328,554,700,336,878,499,
329,768,374,252,034,957,716,153,194,433,714,045,904,046,494,102,274,141,501,
535,756,335,719,810,038,173,107,595,202,450,375,092,947,546,047,928,244,221,
712,288,138,772,092,423,189,629,359,461,943,934,794,277,896,638,137,386,183,
497,105,167,058,870,997,870,286,312,658,702,029,466,732,120,688,311,036,062,
866,287,436,274,707,395,264,680,091,476,571,604,111,419,199,890,502,255,739,
353,953,277,358,195,220,238,386,258,258,215,584,216,964,005,272,958,038,960,
772,863,428,825,788,266,054,482,099,719,772,867,412,346,587,684,032,781,079,
666,968,789,848,564,499,653,055,001,682,203,565,184,630,926,284,444,063,145,
961,628,945,456,280,675,354,279,366,318,218,736,440,260,066,274,530,997,046,
447,195,208,588,888,048,893,458,109,111,038,360,618,370,839,427,255,906,328,
168,701,287,950,710,935,748,268,292,007,493,959,168,379,556,736,211,242,746,
341,460,298,532,250,829,085,152,726,321,018,765,495,074,334,342,509,719,787,
015,389,530,739,129,522,893,978,751,627,554,730,924,020,157,830,617,463,642,
053,782,570,874,762,418,552,288,600,256,184,369,434,615,345,308,817,787,357,
419,021,648,212,024,867,738,788,901,686,200,712,451,663,930,678,352,297,483,
909,805,994,155,892,249,519,534,503,564,982,149,854,230,870,125,608,057,860,
212,325,050,609,552,569,917,544,282,344,184,514,174,189,913,212,394,847,964,
496,350,458,540,852,238,067,419,670,111,042,541,066,064,560,940,685,595,508,
468,142,132,201,688,511,057,152,068,952,429,066,306,661,510,233,838,241,656,
478,715,535,538,136,185,366,316,498,511,124,450,688,901,052,713,672,248,882,
467,817,769,556,125,103,477,477,755,473,906,337,667,236,246,752,771,674,408,
781,478,127,825,942,143,073,122,508,527,620,381,672,692,796,183,652,367,651,
185,068,326,313,070,944,947,278,432,227,596,799,932,032,669,196,627,702,242,
590,326,489,604,881,147,211,106,885,180,736,149,212,152,197,267,086,241,929,
284,843,860,908,010,670,943,083,927,257,171,462,972,097,032,087,794,428,531,
080,620,727,103,580,470,640,581,278,499,176,877,939,792,153,756,073,910,008,
495,611,843,491,585,100,602,367,463,987,939,542,528,499,131,489,648,670,940,
849,222,393,572,888,856,683,641,435,140,183,352,637,013,794,862,336,586,069,
121,713,543,724,686,410,976,996,953,691,974,693,340,735,865,209,593,379,580,
024,966,637,563,126,738,176,355,443,162,443,793,328,166,612,997,884,653,687,
401,644,887,085,098,450,260,770,527,551,972,180,230,779,401,453,681,882,540,
397,129,774,475,530,638,891,905,080,234,280,615,303,147,652,497,201,822,297,
859,229,371,194,919,936,558,412,552,791,207,178,369,879,282,782,407,724,207,
586,821,014,262,301,798,321,838,448,470,072,322,147,091,395,834,859,575,766,
944,852,667,116,433,335,039,705,339,145,053,066,989,648,305,861,244,099,040,
794,652,781,833,308,937,800,363,537,821,089,840,699,413,268,798,906,149,349,
580,081,278,208,704,945,229,451,446,363,399,800,148,624,907,096,184,036,090,
088,634,861,089,934,149,846,015,572,254,224,537,050,455,886,857,920,399,691,
304,111,153,387,805,504,403,942,787,704,465,577,482,899,874,572,928,950,551,
972,755,470,547,580,283,475,654,077,601,060,595,622,911,077,209,131,950,014,
635,810,028,390,344,492,350,331,869,273,472,258,187,258,701,415,431,131,660,
454,979,984,395,943,245,024,603,753,564,505,667,324,680,721,505,253,837,433,
200,781,389,876,473,542,079,567,490,304,208,415,107,142,998,570,548,198,017,
814,234,907,196,247,933,914,061,874,811,162,731,197,067,165,896,161,012,967,
892,041,667,767,825,055,807,959,893,209,608,208,150,908,609,565,563,738,219,
147,554,936,586,687,433,632,734,728,122,105,614,013,829,980,731,101,002,567,
474,359,100,605,162,764,959,348,092,538,454,861,667,621,900,183,245,051,534,
119,533,468,010,400,061,270,884,363,095,476,022,104,969,316,795,381,257,814,
748,448,076,631,159,470,317,993,429,514,639,837,845,791,658,516,599,698,749,
605,922,908,999,732,667,952,614,246,262,982,325,305,405,122,571,808,924,717,
473,050,061,665,921,614,210,581,262,473,629,609,581,011,246,529,440,904,710,
698,915,081,748,142,996,457,429,953,481,912,726,151,459,352,720,199,171,375,
492,581,078,446,156,502,811,463,372,018,912,288,699,247,533,837,905,023,226,
085,608,776,464,766,351,311,382,186,211,079,481,860,685,795,621,843,329,855,
964,033,081,059,400,919,816,959,871,148,865,617,103,994,813,982,055,779,540,
788,095,501,997,175,417,440,511,593,838,596,543,051,173,447,849,091,612,394,
338,908,893,683,657,098,188,282,925,737,373,732,916,844,669,947,200,083,371,
850,041,935,284,927,263,019,302,177,273,471,419,154,640,255,666,510,973,711,
968,629,159,893,412,756,753,508,981,627,499,344,439,393,770,352,448,358,618,
565,422,931,498,318,870,733,523,898,783,188,277,327,643,900,324,752,519,845,
355,127,780,307,956,001,575,048,859,525,489,085,310,148,610,525,226,312,584,
617,857,951,723,025,166,408,935,787,376,426,958,789,257,347,169,067,765,866,
844,899,440,152,390,322,770,985,986,972,265,455,666,679,952,618,835,593,057,
851,786,548,819,918,360,961,868,874,555,022,313,335,865,193,913,129,468,149,
968,776,833,018,081,103,988,290,162,563,320,344,969,861,229,913,742,742,498,
377,327,772,017,463,879,496,245,695,267,824,442,347,930,696,262,272,128,606,
929,637,162,357,674,137,686,761,885,226,343,291,061,655,459,753,802,216,832,
722,387,437,619,364,804,550,751,130,025,915,073,435,779,850,273,263,707,179,
604,424,506,290,853,152,477,320,155,285,948,003,386,784,165,327,281,188,053,
773,528,147,928,812,222,303,257,882,495,007,987,306,579,907,362,180,757,368,
673,289,467,282,077,953,534,561,497,060,557,413,440,251,832,620,180,901,658,
704,282,455,554,338,718,089,901,966,742,240,399,110,584,126,317,401,231,064,
437,427,216,267,331,094,341,541,223,891,223,998,665,103,345,697,840,891,277,
336,253,816,129,944,035,317,443,434,095,616,113,089,043,193,976,617,675,703,
429,012,036,206,399,862,026,423,633,424,415,241,938,310,783,841,790,794,971,
449,154,948,587,406,419,593,419,492,298,330,519,458,605,914,383,990,695,222,
452,408,226,775,576,364,521,846,957,350,333,518,764,259,585,568,744,092,962,
905,366,878,431,584,383,587,148,643,505,573,072,340,995,263,880,886,833,011,
035,472,870,225,109,154,093,338,796,379,156,303,035,291,770,704,262,779,177,
038,732,513,144,356,263,234,539,561,913,281,021,783,044,936,263,884,854,619,
444,327,027,217,825,503,456,736,361,733,653,449,554,619,596,962,665,926,853,
159,576,059,739,121,562,923,087,140,232,303,295,619,727,290,412,731,193,242,
443,734,876,139,315,111,945,805,189,192,369,607,769,546,599,720,206,313,819,
891,080,964,670,933,341,081,276,373,297,367,457,787,047,160,535,586,279,027,
487,986,070,481,045,287,206,431,179,612,532,008,188,494,217,165,153,181,631,
000,482,394,503,468,040,759,831,516,082,231,639,734,603,271,557,412,941,424,
610,702,359,481,044,895,040,109,009,387,039,405,417,486,197,220,828,787,917,
298,171,788,979,000,232,946,561,400,579,016,014,773,786,713,697,606,229,174,
192,481,247,691,378,323,336,759,500,367,985,604,710,818,223,943,193,389,972,
575,755,732,957,559,735,884,147,074,361,500,554,612,543,306,059,150,786,840,
881,139,601,815,382,565,398,354,397,367,281,454,241,604,364,402,264,010,023,
402,596,720,905,916,294,793,164,697,525,338,693,753,273,264,415,693,044,898,
574,758,153,164,804,479,696,827,009,329,411,265,909,231,694,189,861,326,084,
723,765,915,926,845,942,473,738,688,217,479,410,673,325,336,646,975,005,305,
321,002,188,243,583,978,212,265,985,576,719,189,755,101,871,110,751,221,815,
498,579,148,973,105,766,566,308,290,855,351,505,144,679,814,975,939,155,898,
178,917,060,624,412,722,619,620,232,456,771,365,735,502,802,707,792,624,994,
706,535,518,119,783,967,443,599,540,756,680,971,505,428,684,462,930,684,707,
332,385,418,038,564,090,433,015,051,835,396,542,259,312,253,034,961,956,753,
194,987,450,343,485,694,759,726,006,875,326,404,610,758,296,028,982,979,277,
032,414,275,256,905,209,439,068,890,753,652,093,639,894,960,704,370,648,187,
947,031,557,722,284,305,429,218,489,414,151,083,729,139,324,813,604,750,902,
858,210,431,509,409,698,676,105,156,595,263,039,388,831,096,139,977,064,621,
659,028,604,969,518,482,723,086,564,663,299,459,200,035,830,946,900,997,933,
841,617,621,636,943,743,349,840,050,447,318,082,788,261,530,754,462,947,746,
006,623,330,389,697,541,233,743,242,573,630,791,910,519,940,289,275,261,281,
842,007,739,825,556,882,662,846,974,355,912,370,862,149,660,057,864,532,423,
814,120,175,557,800,952,076,933,785,988,820,371,370,447,066,592,419,633,296,
420,292,096,022,789,525,287,915,748,022,853,416,330,412,427,357,105,345,452,
872,319,072,617,776,285,425,520,613,771,710,189,746,078,005,155,752,608,136,
526,325,342,146,853,651,914,359,525,359,431,165,554,635,052,760,769,038,698,
540,861,338,221,541,636,879,662,422,989,228,047,495,415,660,423,269,827,675,
950,950,480,681,983,094,968,939,954,624,116,763,364,361,185,088,118,971,951,
378,709,178,824,568,440,165,043,217,686,777,298,814,019,939,112,849,398,177,
485,488,309,470,002,545,144,232,821,661,467,880,243,485,339,571,961,364,234,
792,384,335,757,310,392,319,740,309,315,143,826,783,793,689,442,530,667,351,
548,807,017,419,940,859,345,952,456,532,068,907,562,725,846,553,733,767,146,
879,993,080,045,346,575,206,549,222,572,088,795,250,517,596,441,172,061,326,
417,999,844,184,240,862,125,739,008,828,459,052,772,962,874,544,194,654,514,
824,789,750,991,015,405,212,192,852,533,494,232,397,264,830,199,835,760,550,
223,074,704,892,055,569,494,392,885,272,995,607,517,056,221,776,753,449,168,
998,840,577,067,009,925,494,308,006,037,869,100,922,719,176,218,996,545,815,
141,485,982,782,501,769,946,687,810,612,897,987,816,991,079,715,511,586,067,
840,045,172,468,999,759,714,207,182,220,807,004,619,005,785,471,830,158,198,
490,184,567,835,323,329,932,161,568,904,695,602,801,045,504,869,926,246,637,
756,823,262,230,426,935,615,081,247,047,013,088,725,497,571,636,526,723,018,
489,377,418,950,387,149,477,415,750,798,853,151,474,919,840,149,764,792,144,
447,642,418,284,845,099,380,195,833,490,726,847,506,026,795,502,121,320,005,
219,596,429,473,665,332,991,158,553,275,407,808,044,465,376,845,851,441,216,
557,099,080,107,996,926,516,407,054,734,129,755,963,413,841,499,787,184,261,
917,251,788,366,359,290,453,057,126,755,545,821,843,120,614,371,922,055,613,
043,558,257,295,311,427,239,110,164,583,254,214,305,212,884,327,609,807,887,
353,524,532,972,786,801,215,324,489,179,816,340,989,683,947,028,750,539,447,
518,119,727,779,994,555,647,088,103,214,447,389,648,942,422,405,000,386,693,
256,609,574,229,949,976,804,841,192,182,790,468,893,981,268,300,145,170,965,
894,597,020,074,349,047,238,283,709,323,416,051,253,901,847,963,828,297,117,
292,048,246,813,921,015,161,904,900,598,069,029,645,684,968,357,456,615,468,
675,621,884,056,571,860,135,162,499,746,013,149,732,893,152,466,111,110,182,
902,156,541,847,598,083,708,774,187,868,326,391,854,801,399,359,124,429,827,
352,689,911,323,070,664,818,732,207,596,047,231,837,327,816,330,968,080,297,
943,297,784,190,777,090,083,808,799,538,711,763,990,413,874,349,103,725,838,
901,659,728,060,644,480,875,375,057,689,730,022,742,131,724,894,798,494,774,
383,626,559,547,085,745,286,650,019,987,652,304,379,268,754,812,180,317,152,
604,528,832,539,894,190,618,442,760,585,488,288,951,640,041,385,472,500,111,
205,040,085,452,731,367,972,867,136,134,402,964,331,814,936,000,412,111,868,
791,011,324,142,205,295,830,467,446,470,506,337,986,141,981,336,974,591,809,
587,911,633,497,818,716,805,201,576,492,454,704,758,100,864,505,981,858,608,
824,775,924,199,704,993,950,219,254,164,459,980,068,816,298,146,672,138,816,
236,367,185,211,367,964,665,582,502,963,169,058,863,367,281,103,310,043,215,
989,392,114,522,146,523,824,128,547,880,265,047,664,291,889,370,757,647,096,
127,434,312,717,794,457,529,672,802,675,722,799,724,631,086,029,806,231,279,
536,282,052,691,668,954,160,902,214,346,791,898,889,018,992,821,390,503,720,
291,791,553,264,787,648,321,477,879,381,926,498,415,687,088,459,683,278,495,
722,751,690,439,687,639,004,934,046,272,625,335,198,369,760,183,829,964,903,
214,626,296,544,815,012,777,697,435,452,001,716,711,345,318,885,374,398,048,
002,235,564,017,257,878,242,955,085,507,124,451,489,295,918,514,933,746,160,
933,186,958,410,565,782,359,482,263,237,464,470,887,492,351,825,649,956,156,
557,315,354,249,761,072,326,289,368,976,960,260,653,807,314,769,599,386,562,
595,928,821,048,687,638,380,058,958,307,567,603,099,584,473,813,328,559,201,
528,704,206,090,134,148,229,006,741,741,510,522,918,759,146,596,259,503,895,
612,938,537,767,301,716,523,086,570,493,988,019,814,658,955,262,588,129,467,
570,220,417,277,438,074,489,514,953,868,825,373,359,156,656,197,448,096,826,
026,659,084,035,095,223,565,995,855,610,956,917,401,500,931,648,473,722,373,
939,831,195,797,044,632,747,199,149,565,608,560,475,238,872,228,900,917,142,
932,109,964,594,620,161,872,355,367,034,458,500,867,812,896,366,254,234,290,
624,122,776,308,342,866,184,117,806,919,533,520,390,653,291,456,130,517,760,
019,860,702,851,427,038,058,405,860,123,851,180,541,879,781,842,173,335,684,
860,573,044,983,868,833,936,372,458,803,392,968,377,722,156,811,943,750,837,
589,204,691,145,283,731,189,422,242,332,329,540,276,351,677,740,794,726,933,
386,753,129,154,072,111,331,194,354,959,703,459,986,940,981,767,531,333,083,
986,844,069,552,513,015,858,930,063,360,302,876,518,158,983,913,152,185,109,
270,550,481,815,118,676,870,581,371,539,688,708,096,618,681,840,520,537,978,
006,574,131,870,615,687,531,718,208,107,668,932,352,757,827,790,236,191,274,
400,683,777,962,788,824,606,031,478,780,007,171,349,206,244,492,667,909,978,
863,406,065,355,229,216,567,492,611,728,328,384,352,896,363,409,834,645,318,
851,763,627,092,794,743,445,705,693,938,107,043,066,840,240,885,480,804,468,
487,034,589,548,006,284,585,462,600,334,260,743,042,534,261,963,485,299,218,
319,997,820,765,532,397,603,761,779,980,345,886,521,950,647,517,648,433,006,
813,792,959,498,374,475,017,598,348,718,053,879,028,216,714,921,137,788,480,
961,226,130,225,262,800,164,408,029,651,548,523,615,943,965,915,513,301,282,
973,753,969,451,910,740,306,669,071,431,138,542,197,018,659,885,854,857,764,
990,924,132,875,939,130,439,216,852,354,738,649,337,626,895,784,380,323,079,
136,372,151,820,308,809,579,524,734,683,475,016,021,416,374,732,550,219,382,
734,649,048,568,703,689,385,772,611,309,128,694,323,972,360,354,975,136,197,
887,826,487,582,896,347,529,900,522,853,113,372,897,797,830,004,151,583,115,
672,903,236,765,382,502,186,614,690,424,687,710,541,749,879,416,008,143,287,
233,669,920,259,968,712,769,492,680,844,949,348,788,922,596,968,314,336,270,
630,932,586,030,777,622,356,547,918,937,881,049,601,512,054,388,890,333,920,
303,244,580,254,234,941,450,609,701,888,135,109,699,044,581,916,488,465,109,
538,256,027,812,432,678,869,611,040,266,712,555,728,362,791,441,915,879,190,
195,457,368,875,171,326,919,914,166,220,158,844,241,120,276,029,246,932,783,
884,533,687,627,802,331,597,496,357,577,865,325,818,516,379,549,805,543,283,
251,546,214,148,281,556,773,817,635,396,304,927,793,074,922,789,641,729,416,
279,889,719,082,761,369,604,386,039,669,973,442,071,132,664,916,652,414,326,
406,515,420,469,818,911,378,972,870,150,600,701,829,900,580,472,787,474,733,
617,859,483,614,720,599,387,383,143,662,879,243,884,665,066,278,812,161,702,
467,713,938,129,073,696,626,876,991,763,996,352,405,230,541,977,674,220,485,
309,180,118,665,290,741,235,334,595,381,549,931,641,583,520,321,690,595,464,
640,814,732,113,337,853,586,077,886,079,750,185,589,866,793,159,440,157,925,
349,022,892,677,492,055,744,806,850,629,606,595,686,560,205,439,356,855,050,
989,473,764,231,128,353,548,676,381,566,871,177,236,013,410,850,873,484,092,
973,769,932,546,506,353,080,260,707,008,605,109,396,222,440,853,719,065,747,
812,694,821,823,402,985,753,451,204,592,634,399,947,266,184,306,365,017,806,
369,609,709,292,665,442,291,122,323,376,558,504,876,760,684,827,901,060,508,
675,843,908,964,498,235,108,498,924,087,288,569,092,361,006,516,870,527,180,
049,467,134,183,354,079,988,591,946,913,940,131,320,250,823,073,297,633,574,
873,102,662,151,815,748,466,097,343,651,038,777,083,846,495,878,940,932,330,
613,068,652,367,045,954,600,922,524,201,348,893,230,619,298,321,801,453,655,
006,000,505,259,226,151,389,340,886,883,216,423,303,484,332,483,059,314,109,
598,705,626,362,368,521,546,988,635,468,037,558,087,592,019,389,134,919,716,
607,735,057,437,265,787,890,302,164,995,934,328,728,676,179,117,269,875,217,
894,486,353,415,614,488,203,786,046,067,296,219,379,511,411,911,049,546,585,
402,013,591,987,397,361,504,528,100,635,456,835,155,159,226,709,923,153,119,
179,660,181,357,972,062,531,252,755,839,575,693,439,654,652,667,007,462,034,
799,975,202,150,494,205,355,157,631,244,805,385,644,571,045,060,113,920,918,
554,631,269,429,600,512,474,179,857,835,103,532,923,331,803,035,095,116,826,
951,471,884,514,986,046,828,761,092,015,976,001,663,934,227,276,152,704,518,
230,567,906,786,771,331,371,572,260,121,055,756,269,653,889,890,832,189,862,
787,312,492,164,134,986,534,046,037,190,349,463,351,373,921,237,408,874,406,
699,969,763,873,730,234,065,602,259,553,989,359,337,866,139,226,188,791,983,
446,708,285,630,610,772,682,606,425,871,729,937,138,665,983,390,144,063,708,
812,671,786,843,515,781,556,865,584,934,351,291,121,491,030,858,893,830,020,
710,987,174,136,153,553,410,778,183,485,791,169,885,183,022,648,992,786,415,
891,807,782,975,970,869,830,974,965,865,002,901,827,004,854,701,912,650,139,
517,448,347,848,831,126,110,883,939,172,532,095,213,759,748,036,929,483,138,
563,846,296,333,351,143,677,911,375,154,801,932,708,621,368,010,223,875,822,
828,965,123,754,575,500,013,265,330,366,761,011,876,564,442,604,289,592,165,
101,928,870,924,488,263,274,925,788,927,288,919,905,215,188,202,610,330,147,
138,342,566,784,379,795,911,365,698,936,865,541,760,506,398,288,598,232,213,
879,701,084,469,604,199,171,018,076,331,619,684,796,689,572,442,529,004,082,
223,469,487,678,750,468,920,876,335,641,751,149,422,392,939,663,163,948,821,
314,380,996,716,686,483,808,487,653,002,929,666,038,001,314,676,736,737,578,
016,427,194,832,472,999,541,081,745,542,267,315,469,568,811,674,191,477,952,
658,221,716,303,471,403,736,696,084,553,684,447,208,931,955,335,198,634,640,
260,836,261,372,326,045,446,991,645,215,987,564,892,603,227,911,776,170,691,
283,327,377,604,799,082,344,375,533,231,539,803,055,064,233,729,030,684,993,
649,380,459,081,137,206,460,288,907,013,789,756,391,652,141,146,251,277,984,
708,630,457,236,346,840,289,428,127,459,564,967,840,200,319,619,548,182,557,
227,452,560,380,308,629,928,453,433,632,539,833,899,022,648,349,211,728,695,
287,496,111,376,389,085,958,994,364,102,949,071,696,297,411,017,879,423,471,
828,528,898,713,941,272,259,714,643,937,596,587,407,471,507,271,601,118,494,
360,029,315,087,145,174,224,117,137,918,640,509,164,509,421,029,213,452,347,
292,676,994,745,503,714,721,117,064,942,791,419,748,557,734,899,920,874,393,
797,593,106,620,972,398,362,388,497,674,354,218,067,927,935,380,582,298,161,
729,011,784,425,560,259,298,680,949,836,340,790,699,415,125,839,674,509,112,
918,505,144,072,097,909,646,007,375,564,614,220,284,859,151,248,721,150,895,
244,337,591,520,382,586,566,494,461,785,647,493,544,792,406,106,087,060,635,
462,374,492,772,452,732,503,679,046,904,879,154,707,190,780,489,145,537,956,
079,649,159,663,494,175,724,278,575,605,303,377,877,546,924,887,104,133,106,
627,666,260,593,567,766,023,484,947,637,107,840,636,662,581,008,427,741,949,
089,977,408,319,583,820,663,222,040,908,394,649,957,499,365,145,263,261,702,
475,485,521,218,980,030,903,256,954,294,013,570,321,571,867,117,097,563,076,
090,451,368,894,655,829,560,160,720,574,611,411,899,707,064,192,838,332,886,
096,754,357,299,662,165,061,267,858,264,030,560,934,587,178,106,160,160,574,
300,593,532,003,194,014,052,932,222,210,630,777,198,293,828,943,181,325,611,
118,823,612,798,689,901,740,738,035,794,932,682,089,626,003,606,381,657,393,
250,584,703,836,651,424,629,550,142,324,819,893,959,910,635,135,187,707,100,
663,441,175,855,886,544,218,409,996,214,000,959,531,642,256,773,345,371,411,
268,310,419,842,659,218,710,180,033,348,206,919,326,187,574,968,662,114,001,
370,401,129,166,697,129,169,368,464,686,337,348,185,647,958,699,613,436,957,
602,428,461,942,065,957,273,549,242,765,795,644,497,662,305,739,895,270,405,
753,127,573,593,793,069,219,210,059,109,943,385,815,622,398,020,327,187,504,
474,409,503,614,205,091,268,942,782,549,072,762,934,319,837,720,375,546,400,
609,079,930,743,363,965,799,145,704,473,430,019,034,190,151,390,029,765,471,
079,573,215,280,117,398,199,507,855,987,161,667,635,659,082,461,013,805,920,
138,273,985,400,016,336,380,551,116,529,302,433,749,831,656,559,024,481,626,
812,644,618,676,182,733,214,082,514,088,342,225,327,973,382,986,069,501,426,
103,373,124,875,962,297,356,369,315,779,052,514,927,593,757,258,203,371,995,
701,963,652,921,298,661,358,294,601,452,595,046,882,310,582,150,582,232,866,
216,141,447,371,303,139,040,714,892,244,105,308,068,252,034,151,149,977,443,
898,374,578,504,968,154,323,035,587,436,019,524,214,279,191,583,166,912,164,
267,384,918,648,003,733,596,014,443,093,631,518,530,490,583,059,727,285,771,
698,932,398,157,409,544,060,231,680,499,277,248,632,967,935,339,950,759,452,
556,753,615,617,446,637,118,065,189,712,170,692,386,785,133,814,447,749,999,
895,706,849,289,979,976,112,726,268,439,880,810,396,453,294,366,504,284,257,
638,144,242,150,199,082,420,322,852,494,966,422,993,701,105,525,133,689,214,
894,473,816,059,148,076,541,714,555,082,275,206,506,487,743,435,606,665,990,
136,136,700,542,359,264,725,852,069,899,352,766,908,066,260,497,393,427,985,
999,462,893,410,814,094,274,933,207,598,159,086,986,086,479,333,012,131,831,
896,860,555,167,589,488,726,138,094,747,309,644,489,321,878,896,533,195,274,
733,881,073,352,966,760,593,954,355,048,779,070,572,776,931,895,854,620,573,
800,672,124,800,993,049,142,838,866,456,453,293,617,122,191,395,097,829,106,
864,887,952,822,644,553,574,335,363,620,017,709,009,802,465,773,101,423,179,
566,648,855,526,726,429,334,763,438,124,659,857,483,694,641,016,301,179,579,
616,541,013,918,531,044,813,395,380,175,273,729,081,237,154,157,821,737,087,
869,873,462,692,493,158,655,304,145,944,985,648,376,483,720,615,060,612,567,
834,447,969,714,120,244,997,403,535,754,281,736,840,260,621,378,110,302,030,
604,842,225,988,529,901,087,930,854,587,113,710,120,158,267,083,737,277,971,
864,420,129,131,077,270,286,014,708,170,422,162,940,940,428,351,698,957,405,
063,544,187,481,596,875,998,682,223,565,857,733,391,676,902,075,994,619,673,
551,004,843,177,381,004,267,192,087,171,970,241,688,165,684,480,006,533,934,
895,449,960,619,126,755,691,429,402,367,103,823,590,613,132,112,539,914,003,
630,450,960,215,549,494,768,277,765,692,448,027,665,732,914,239,981,145,564,
498,910,322,454,551,044,107,824,088,521,628,695,682,919,776,847,762,717,517,
312,856,348,359,608,533,910,035,703,632,673,663,571,245,346,998,608,876,497,
282,269,100,059,473,472,510,644,482,331,652,239,860,276,967,075,948,889,471,
860,666,904,128,628,056,323,031,874,249,916,569,070,352,002,471,940,506,775,
574,954,837,130,415,036,479,015,155,462,984,452,475,715,392,807,391,793,918,
523,030,800,228,163,007,782,658,782,601,895,741,343,248,045,054,623,595,068,
446,875,194,301,731,812,397,250,769,417,521,059,067,434,300,332,624,649,848,
680,638,596,855,188,550,750,547,163,811,142,972,868,149,405,186,915,347,053,
312,116,534,662,189,913,212,176,972,167,727,449,806,504,892,399,753,075,801,
331,087,161,815,472,509,272,605,944,337,859,956,700,974,125,513,743,466,697,
420,340,910,615,391,200,956,491,065,596,146,182,110,312,495,345,880,953,790,
751,196,190,955,372,546,759,434,819,340,646,294,375,088,199,615,387,815,238,
100,788,294,998,767,149,370,061,753,593,762,845,931,268,601,158,379,741,796,
968,456,516,402,965,984,206,338,943,540,967,179,750,970,057,529,809,373,692,
924,517,845,891,635,064,959,224,294,688,277,416,729,823,431,436,186,844,426,
239,767,305,438,482,464,308,867,337,614,675,979,335,919,319,688,598,692,581,
592,333,339,362,943,151,847,647,956,279,167,856,365,569,753,990,665,166,539,
258,837,528,044,289,913,494,035,808,099,123,524,628,257,751,410,899,636,973,
159,333,405,991,930,701,252,387,664,689,506,965,705,652,327,484,295,795,220,
207,711,781,278,388,888,773,169,803,297,246,382,904,388,448,214,088,891,087,
704,510,117,493,292,173,967,735,771,982,137,943,884,243,089,317,601,298,757,
856,631,332,489,442,262,687,809,172,749,885,038,042,435,740,905,066,594,266,
932,545,639,370,003,911,240,027,814,657,845,226,417,984,390,420,616,387,479,
544,498,640,005,305,381,912,133,975,060,169,895,476,246,419,737,733,248,270,
211,528,607,682,842,841,418,952,565,406,718,660,157,352,811,079,929,789,245,
551,253,315,141,879,564,580,158,840,524,988,996,758,289,175,010,499,013,480,
242,800,454,437,302,206,967,709,803,627,954,792,565,292,066,520,998,240,657,
172,926,575,775,927,156,477,509,279,594,099,203,515,931,390,333,535,856,334,
767,097,175,961,957,735,265,431,756,142,597,103,407,963,697,645,806,578,045,
995,197,524,917,562,474,702,655,282,178,328,783,587,936,371,647,255,186,920,
212,593,542,214,403,130,517,100,017,079,292,929,244,707,886,713,721,205,291,
145,862,613,177,262,439,613,806,873,536,065,361,623,085,285,100,964,959,459,
750,312,976,815,434,998,133,521,254,615,796,455,487,404,636,051,866,621,435,
616,840,333,895,556,850,420,559,275,839,134,256,081,694,069,322,602,096,334,
633,283,747,186,711,034,450,447,444,818,726,782,795,799,732,441,110,570,783,
385,122,609,922,370,189,700,556,475,190,314,184,528,151,448,446,675,404,222,
199,109,279,306,864,356,367,766,377,819,649,841,395,237,742,605,362,070,457,
223,794,949,786,096,231,711,780,907,962,093,247,155,864,517,999,612,915,327,
829,594,040,994,505,452,703,593,732,985,795,821,131,910,647,773,890,819,101,
738,843,631,467,711,994,357,371,995,615,552,595,897,395,831,930,075,880,099,
157,437,792,137,910,451,568,102,946,860,732,028,942,139,455,537,567,371,400,
197,708,374,219,346,470,961,283,931,194,234,145,408,318,777,878,500,151,283,
814,531,692,209,031,251,790,441,555,041,456,128,279,090,965,429,307,337,052,
069,507,285,027,575,314,837,249,108,077,432,878,321,135,286,872,942,628,610,
748,273,016,396,807,813,096,955,902,261,606,440,152,420,865,031,030,608,426,
902,720,485,784,255,513,985,763,235,862,444,911,838,125,598,555,417,389,292,
586,048,332,923,320,524,906,637,088,725,811,773,085,383,605,458,158,387,776,
665,895,024,043,063,461,913,649,377,017,481,360,533,519,899,992,689,272,792,
393,187,998,354,397,997,808,604,880,600,126,580,457,725,313,426,189,251,986,
975,845,806,377,078,462,721,375,767,464,819,934,921,755,312,028,245,546,348,
953,392,652,457,987,603,625,536,825,329,685,548,182,454,232,718,341,398,837,
102,129,724,558,822,523,696,811,517,730,983,188,909,955,450,479,549,418,496,
664,592,454,533,629,692,398,186,244,809,436,722,282,980,351,249,247,092,291,
125,846,582,125,015,132,364,374,868,497,938,324,713,124,266,947,186,227,886,
185,831,083,020,968,666,547,423,516,758,415,063,471,192,712,248,717,012,366,
348,873,217,184,030,084,820,675,512,545,930,787,609,460,233,694,432,822,553,
305,353,281,719,811,459,783,040,699,703,318,456,364,785,487,276,589,702,111,
353,671,343,953,450,352,724,624,323,341,962,412,487,692,908,951,780,408,771,
176,388,715,822,272,424,094,725,165,225,133,736,249,987,759,436,560,797,569,
299,287,063,365,016,483,583,437,797,601,293,292,940,786,201,615,814,789,726,
564,456,241,870,426,390,468,943,537,363,018,423,407,747,227,372,444,765,207,
044,421,772,268,606,418,433,873,234,817,931,887,265,072,417,489,866,062,711,
440,325,749,274,783,760,396,493,377,172,518,974,851,622,171,169,842,512,037,
490,393,369,477,005,068,927,874,974,183,975,627,946,345,754,819,553,682,519,
332,769,919,675,243,883,369,788,128,819,671,344,403,490,841,157,091,777,959,
982,995,575,782,383,630,290,780,739,325,958,279,660,108,585,922,894,738,872,
132,321,126,842,229,880,947,257,634,402,506,770,884,951,083,983,298,237,834,
531,476,174,016,154,539,725,202,438,861,653,257,752,245,681,229,420,875,454,
917,380,868,134,487,477,433,222,499,336,139,335,782,555,547,171,269,208,895,
383,170,920,072,213,218,712,936,940,341,996,698,609,974,341,961,911,245,012,
810,540,755,683,455,266,968,393,680,027,491,842,477,210,956,030,564,683,752,
268,667,274,681,085,392,964,321,218,539,798,648,762,819,726,429,958,408,726,
167,951,642,308,028,473,677,022,590,421,796,239,449,181,074,680,388,703,346,
471,990,894,813,447,447,504,674,636,906,250,054,003,862,313,103,762,232,999,
918,357,739,955,859,364,674,302,546,489,576,998,718,141,942,720,380,194,384,
319,888,361,647,790,684,923,484,052,641,884,070,766,217,467,227,704,580,889,
773,758,192,312,957,174,034,280,125,187,009,330,200,578,339,174,788,845,550,
085,093,418,724,566,386,662,050,038,847,803,844,796,079,792,675,205,394,500,
937,741,729,052,522,920,176,844,006,763,680,743,515,586,511,627,527,349,281,
566,749,783,041,617,129,298,355,591,046,788,392,846,790,284,862,346,164,470,
775,942,594,635,323,042,870,912,807,781,046,870,982,030,825,956,716,758,740,
144,640,047,178,304,605,970,902,123,306,316,505,092,884,109,968,021,921,210,
934,707,538,004,172,363,530,336,500,470,519,218,946,773,715,541,505,002,806,
602,605,070,093,036,907,572,579,546,723,204,117,782,362,096,574,782,734,184,
962,268,573,898,960,862,717,356,560,380,448,044,711,804,411,350,774,308,803,
125,128,228,946,654,519,649,464,394,102,846,503,125,458,871,817,849,002,155,
091,275,917,068,987,488,099,121,294,859,987,811,814,408,086,838,376,937,300,
217,156,303,417,066,003,733,836,920,543,697,139,060,796,872,296,908,798,236,
701,135,164,882,836,254,664,202,485,048,391,220,380,719,250,314,955,364,024,
674,203,500,933,632,672,624,994,427,800,772,970,378,343,047,901,503,443,053,
346,552,454,609,261,536,909,431,761,565,699,525,049,278,269,506,083,140,788,
220,944,093,411,328,506,227,116,457,726,662,576,769,006,600,177,384,242,225,
768,939,655,603,365,361,514,696,270,849,930,170,879,429,941,548,507,690,572,
622,330,539,539,793,462,419,147,762,920,433,925,297,347,352,912,571,439,581,
356,415,364,775,126,293,067,248,329,896,682,091,368,643,644,465,766,787,207,
816,251,028,556,886,350,252,949,482,410,325,369,602,076,214,145,676,686,028,
012,131,921,322,505,638,807,841,754,880,852,085,948,128,666,059,463,291,555,
506,693,776,061,499,604,313,780,366,660,304,227,297,156,115,090,653,379,348,
167,154,897,935,155,050,833,357,826,171,415,382,953,981,423,370,830,316,149,
935,189,272,401,566,312,252,040,226,449,859,105,933,579,084,970,405,967,257,
300,617,177,756,354,287,251,388,306,256,749,584,688,653,781,780,354,857,457,
595,011,127,956,943,481,908,247,591,187,457,514,919,084,772,627,498,520,700,
643,022,626,701,153,657,206,902,525,905,932,778,723,750,469,397,842,577,690,
560,493,380,714,157,662,548,978,967,062,788,793,502,504,000,447,259,686,619,
588,724,631,612,637,826,594,561,720,944,017,314,584,107,347,921,731,573,624,
726,365,953,631,627,853,616,657,335,456,947,936,982,933,574,147,415,381,616,
516,059,531,237,767,062,118,841,845,469,270,900,899,749,723,140,734,663,382,
442,863,099,412,691,667,357,621,590,215,964,970,857,060,958,005,733,418,664,
486,986,609,214,685,843,949,521,247,512,690,372,552,281,670,615,699,365,165,
604,807,636,127,550,301,323,129,852,989,982,121,573,277,452,532,788,927,296,
579,050,259,605,744,318,983,005,410,011,433,642,649,985,992,586,796,509,081,
355,143,003,204,449,228,805,148,082,545,736,185,320,519,722,827,370,085,019,
137,060,381,966,647,410,298,171,870,218,434,829,843,049,263,212,726,310,243,
596,970,987,233,892,531,925,455,017,845,879,867,398,441,370,012,785,816,020,
137,937,377,235,177,572,991,045,512,040,777,058,819,402,026,439,723,233,710,
480,493,223,192,131,369,113,581,214,050,605,092,783,212,540,453,472,164,466,
551,303,092,890,463,963,567,311,532,288,157,188,485,442,546,293,882,419,743,
180,674,239,839,454,773,034,907,650,857,207,131,822,602,459,337,278,929,385,
627,255,018,813,893,110,333,280,700,957,006,623,713,548,756,971,416,100,864,
448,521,656,619,382,096,205,954,509,844,461,386,602,797,996,689,762,009,267,
954,619,441,517,499,242,764,540,339,929,216,721,510,606,487,048,448,460,796,
311,711,683,098,513,673,333,294,689,628,202,847,036,128,782,077,092,263,745,
567,682,282,591,095,092,941,888,569,488,229,119,223,911,051,205,512,050,603,
616,508,694,750,605,703,221,631,619,157,215,216,748,830,291,714,028,949,106,
374,626,844,849,655,854,074,046,475,620,526,953,549,996,916,866,572,122,610,
883,101,880,954,458,244,473,304,783,824,230,147,631,371,268,756,247,652,491,
337,193,793,522,817,185,776,316,201,153,913,673,734,791,642,815,324,209,245,
829,943,494,926,127,988,265,938,924,330,210,641,375,563,602,738,837,375,698,
353,285,156,276,767,937,384,890,493,252,994,910,264,814,585,552,687,165,701,
529,082,076,800,747,511,974,152,107,834,802,149,684,387,012,009,922,016,612,
529,121,567,213,938,831,584,865,504,497,419,030,873,379,494,882,959,813,173,
085,479,613,188,260,010,798,768,148,957,571,057,747,032,619,388,517,018,520,
452,728,455,789,408,094,401,915,224,140,706,374,229,586,627,647,821,906,137,
861,148,902,313,822,915,802,367,203,007,619,549,495,732,526,481,416,260,929,
587,648,066,213,678,186,105,963,632,067,463,801,037,469,633,793,622,956,201,
473,722,926,647,101,702,399,426,804,578,828,903,551,707,911,841,284,584,352,
455,940,567,606,830,555,127,300,610,123,210,310,958,844,407,709,933,932,726,
597,668,687,132,157,399,243,922,769,395,676,346,854,200,890,525,931,833,836,
463,358,686,759,629,916,713,061,142,223,461,428,546,738,509,362,414,916,938,
861,287,635,662,196,956,137,738,923,635,757,746,416,667,163,555,198,530,531,
168,635,656,205,584,174,079,380,774,931,087,540,385,298,677,705,056,745,907,
973,846,802,821,993,446,958,523,196,245,471,914,039,837,974,771,586,686,528,
357,780,636,697,315,984,692,892,981,278,719,615,764,791,986,423,143,636,365,
567,962,511,687,449,355,315,467,986,551,937,698,577,321,672,961,755,971,985,
998,904,232,032,745,187,910,848,403,182,298,051,365,840,999,548,248,642,604,
772,311,020,224,481,498,029,468,044,134,124,317,070,594,087,692,264,062,427,
959,994,334,871,538,750,024,834,716,820,031,650,071,683,460,552,512,027,466,
782,209,233,812,770,598,781,031,295,121,332,477,528,415,995,167,964,121,400,
669,196,786,796,953,027,721,209,445,779,860,952,863,136,838,753,934,132,991,
756,646,159,651,416,745,570,867,920,436,679,576,664,842,173,290,370,946,284,
257,292,896,289,013,326,794,083,804,490,693,734,729,644,168,271,823,872,304,
327,409,383,210,495,144,680,530,429,600,394,488,832,217,084,488,067,574,104,
834,939,814,530,202,681,407,238,871,527,631,253,870,183,468,655,058,239,423,
083,348,743,233,391,827,598,992,443,199,917,314,171,020,877,239,336,175,778,
787,105,751,028,480,910,581,701,230,741,827,374,564,627,225,699,961,309,359,
816,634,909,762,607,352,510,894,619,667,059,926,601,350,519,474,486,576,085,
464,588,775,155,437,338,819,209,666,299,169,437,206,531,803,868,401,513,197,
350,062,399,497,540,228,807,591,592,394,911,394,066,836,276,989,265,764,080,
501,063,695,507,860,954,498,206,934,172,811,765,139,849,181,203,504,829,804,
828,171,365,541,250,520,481,195,719,060,170,001,398,919,335,486,136,336,648,
703,414,987,548,496,819,243,234,372,718,163,488,825,235,869,032,563,868,458,
632,746,886,158,983,679,250,825,477,155,909,395,991,355,851,476,035,683,399,
150,366,374,977,936,505,855,405,210,462,371,307,195,410,904,562,908,539,328,
720,133,770,685,284,653,498,483,457,250,113,784,036,087,414,875,853,062,846,
065,417,615,724,536,472,561,247,620,342,606,642,127,527,657,957,569,193,797,
556,433,088,629,388,431,896,278,791,844,824,269,213,625,348,817,430,882,354,
274,727,666,308,254,120,672,785,621,744,950,898,889,825,531,175,913,905,604,
490,324,441,544,280,638,629,293,736,040,020,764,290,391,676,483,375,103,727,
626,785,211,727,859,537,162,776,606,031,892,709,733,819,624,965,004,028,353,
379,496,991,558,545,551,807,518,090,487,138,980,973,519,657,887,122,274,219,
530,795,382,703,752,723,128,333,689,527,477,975,641,793,755,498,981,786,499,
909,597,495,879,414,288,184,836,864,170,490,686,022,978,512,151,533,473,022,
936,474,471,950,475,112,808,459,215,879,214,107,807,418,040,656,002,295,578,
953,394,927,298,685,839,019,524,234,726,671,422,085,527,947,804,500,107,727,
219,131,116,502,480,076,100,559,780,757,031,947,799,445,906,288,951,433,262,
408,989,563,424,455,319,141,616,290,121,678,793,626,638,597,699,114,553,469,
709,331,152,317,967,075,698,038,123,196,399,843,688,629,564,374,498,484,191,
293,833,610,378,602,507,546,280,749,157,009,469,827,490,959,060,731,541,830,
883,984,469,794,205,549,051,528,870,641,527,398,615,280,752,062,804,372,094,
231,657,711,934,583,108,896,764,639,769,205,623,660,832,154,360,669,515,944,
412,197,524,886,519,003,833,617,008,457,828,122,664,687,421,054,962,376,633,
182,891,031,893,153,098,362,236,510,065,760,315,108,197,782,220,069,925,557,
313,945,924,815,691,481,178,800,988,306,991,740,315,229,065,364,775,746,388,
773,417,327,517,273,346,584,051,527,219,603,753,711,304,209,748,844,087,579,
737,525,547,896,170,796,536,745,808,734,348,737,180,299,606,849,781,340,754,
319,753,000,693,617,421,224,144,494,537,074,825,736,002,944,016,560,036,542,
948,665,640,263,980,586,693,300,826,922,005,557,019,680,412,364,597,167,238,
235,851,283,553,471,153,820,042,459,918,709,998,311,969,209,930,045,324,289,
434,929,869,043,673,026,842,923,529,224,520,655,150,242,647,705,067,770,202,
469,656,692,541,900,686,356,291,701,408,966,357,176,247,474,957,740,999,309,
664,765,792,783,856,043,023,151,722,407,611,242,117,733,715,780,362,984,525,
150,728,240,795,960,467,431,805,258,639,516,594,591,326,924,702,296,534,437,
832,009,686,443,214,174,051,994,907,541,912,074,609,153,077,722,223,573,549,
162,016,791,999,188,910,276,625,761,506,139,941,070,350,533,337,205,528,339,
847,498,646,833,671,353,977,932,895,897,575,770,996,931,254,405,377,345,431,
787,092,158,817,981,629,863,347,017,322,280,146,324,684,920,749,149,253,229,
404,276,368,673,428,905,131,412,825,870,977,380,233,382,812,774,052,440,374,
154,160,033,511,715,192,154,562,038,624,093,230,230,546,513,280,046,624,178,
349,161,114,525,444,837,438,274,557,557,101,287,589,451,736,966,053,443,294,
265,973,692,581,000,654,057,373,673,278,982,130,831,864,139,314,816,315,073,
028,524,440,936,396,920,332,935,717,298,809,719,735,781,641,404,562,300,593,
910,447,363,112,730,355,755,235,578,157,239,680,450,147,885,675,230,889,016,
673,838,013,510,939,091,989,202,526,517,607,467,443,899,962,587,863,402,369,
587,505,239,357,383,209,051,205,845,172,442,032,495,319,732,998,628,746,397,
344,525,886,697,849,797,634,372,426,206,537,203,322,583,298,694,764,911,517,
908,413,221,895,756,129,219,935,844,120,575,632,027,284,088,751,947,319,998,
465,854,941,623,378,087,231,379,973,000,615,998,842,912,629,857,590,466,343,
954,178,947,961,257,375,429,676,292,960,743,913,767,271,485,820,640,754,778,
887,676,671,293,546,895,783,547,076,686,038,153,112,810,562,425,129,453,234,
695,688,020,313,078,260,710,690,226,483,520,355,748,284,696,214,171,241,195,
927,754,368,776,001,020,363,001,781,512,209,469,096,728,275,529,167,723,448,
081,720,077,412,900,145,057,427,436,289,388,099,438,215,207,685,292,897,187,
024,475,817,245,401,892,685,327,469,751,306,647,779,448,918,858,697,227,913,
085,462,776,277,810,283,734,338,311,929,572,606,707,531,896,032,014,508,480,
829,505,744,299,278,144,153,988,361,661,459,267,017,390,170,819,018,722,261,
833,897,039,738,400,419,718,914,367,281,262,170,353,808,865,327,805,727,227,
909,333,385,736,415,828,128,904,116,829,348,682,228,620,027,669,253,360,045,
415,399,104,166,595,373,771,440,433,277,680,214,952,209,104,299,396,058,705,
313,799,398,521,926,858,105,275,259,364,972,815,410,817,970,931,375,914,210,
003,782,946,659,802,132,800,053,137,869,020,988,883,473,194,970,253,313,794,
009,662,899,758,728,746,828,580,755,769,221,389,858,527,138,503,232,018,380,
962,693,503,479,690,805,344,984,025,247,929,936,898,276,751,394,237,310,696,
463,503,104,798,558,180,729,280,589,804,333,307,975,891,205,417,269,442,392,
249,460,004,546,895,930,378,008,957,679,738,805,656,577,427,916,441,432,295,
260,985,206,703,955,828,720,205,725,178,550,240,690,580,845,401,618,457,532,
727,968,349,113,628,661,118,169,382,936,514,337,355,421,216,156,082,894,371,
919,666,828,527,869,316,809,174,114,254,133,931,569,039,320,562,005,021,721,
311,690,717,143,193,486,308,958,205,853,593,170,645,794,679,260,943,153,305,
026,493,525,442,882,787,752,919,063,938,181,310,627,686,625,416,051,414,455,
139,103,090,225,768,708,466,639,687,333,917,403,409,552,290,787,435,834,829,
630,982,795,961,058,353,352,594,342,608,634,365,540,125,650,157,029,618,719,
874,649,240,245,463,953,903,042,826,484,042,841,235,566,409,062,786,129,532,
273,598,290,191,699,342,739,799,037,708,265,572,950,579,895,311,086,299,426,
550,860,502,582,732,814,590,757,139,216,937,476,650,072,907,019,074,959,206,
493,953,636,353,804,574,080,241,808,513,110,934,719,430,200,475,103,055,820,
824,936,061,003,875,815,672,370,999,146,766,575,886,502,489,559,237,937,287,
788,444,102,167,979,287,975,898,626,531,659,287,655,702,288,192,897,068,222,
898,766,135,831,478,100,912,179,391,038,237,657,584,681,151,326,223,670,183,
776,757,778,006,479,269,882,230,561,415,763,932,232,569,830,174,738,833,560,
869,348,177,105,780,531,862,169,684,171,764,158,483,571,967,815,041,375,068,
771,724,127,984,015,160,023,610,033,191,730,875,303,741,839,037,098,716,990,
944,056,462,832,980,153,407,991,701,776,954,865,343,186,994,743,182,486,126,
315,763,967,605,271,419,492,583,914,818,585,286,716,064,618,987,318,623,246,
153,487,272,358,778,272,383,659,286,899,464,442,489,856,337,909,237,525,823,
829,203,686,048,178,140,598,689,010,388,724,155,480,377,232,991,911,773,747,
268,017,235,480,942,130,320,164,653,667,284,609,568,347,359,433,574,339,980,
692,059,370,038,282,666,126,567,588,055,919,469,282,982,228,518,612,861,066,
110,424,795,351,492,592,391,739,803,948,332,373,517,146,499,528,523,935,274,
196,357,152,803,243,593,144,134,162,310,566,601,894,126,198,901,752,428,914,
117,796,408,715,684,591,150,663,478,727,420,497,950,267,404,695,403,742,439,
112,575,872,787,167,430,154,850,062,071,479,234,016,746,076,761,185,716,466,
320,605,611,573,750,875,878,923,278,313,962,574,917,213,532,661,476,750,139,
129,208,333,996,486,936,347,387,199,917,804,352,931,205,865,145,901,635,551,
845,015,003,090,111,319,989,964,675,835,055,554,759,177,763,762,936,227,005,
458,091,463,276,164,174,955,624,246,564,535,122,577,275,310,367,348,182,774,
730,740,463,525,564,723,294,236,597,442,689,592,327,328,064,703,414,184,889,
430,111,762,373,506,271,436,993,744,893,528,534,807,824,554,459,987,812,439,
530,534,464,547,889,511,175,611,554,578,965,643,239,484,273,910,446,656,044,
931,634,876,809,477,061,119,607,224,882,498,294,476,455,066,765,301,852,991,
953,116,434,168,119,558,924,564,427,647,999,933,041,327,450,655,408,227,605,
718,368,539,779,466,131,438,791,694,875,773,741,296,506,333,698,410,958,788,
400,118,312,861,271,213,172,672,493,999,155,193,844,528,945,494,269,605,287,
366,817,368,344,845,275,830,331,087,461,923,994,694,095,676,503,529,053,858,
603,413,223,986,349,287,573,587,438,788,968,990,290,545,998,420,016,529,523,
054,205,139,660,655,760,410,383,201,504,887,639,879,116,987,645,134,676,932,
110,371,436,944,130,555,810,462,881,193,270,725,729,054,781,000,020,986,746,
612,722,013,013,439,400,341,880,940,258,668,542,714,954,483,706,779,720,185,
270,282,189,013,662,593,122,346,664,962,717,980,501,950,451,809,740,806,444,
416,353,293,640,490,746,303,592,875,426,728,001,922,106,004,282,817,352,399,
605,915,884,103,650,880,614,967,215,723,041,244,537,344,251,270,338,676,009,
986,785,833,498,343,945,003,084,245,176,224,346,853,956,002,121,663,013,678,
632,045,736,806,768,144,583,086,247,775,743,067,317,518,688,981,459,531,065,
483,607,075,002,328,317,645,817,493,340,697,217,219,581,313,909,533,293,902,
510,524,875,837,524,380,025,358,689,219,532,660,227,261,826,551,798,979,380,
869,243,072,300,711,616,245,462,157,042,168,296,960,550,526,872,581,704,777,
111,300,032,329,611,413,559,067,420,719,786,531,845,674,492,702,608,888,113,
693,702,779,759,408,860,145,650,575,764,633,292,775,725,763,252,781,797,066,
115,405,133,436,780,878,941,571,112,741,357,861,242,461,076,545,160,306,346,
476,782,267,278,544,719,553,213,798,142,417,292,630,349,178,183,077,732,206,
580,648,651,787,815,576,720,204,536,224,703,280,959,044,532,109,310,040,427,
557,379,882,303,541,699,351,705,275,887,277,076,747,899,328,067,097,302,970,
585,468,083,065,238,927,596,787,413,075,252,727,168,684,256,738,169,980,584,
399,829,381,960,195,114,317,941,221,378,714,702,519,343,283,683,030,420,534,
682,566,900,565,992,553,493,278,675,180,523,110,254,241,080,187,166,266,849,
816,360,028,245,536,514,998,206,610,567,180,624,869,878,408,183,662,661,500,
671,256,972,189,119,724,671,502,629,458,873,862,234,356,868,528,771,922,300,
776,311,004,389,778,707,744,994,047,724,738,238,855,654,739,920,009,963,910,
561,136,262,061,348,139,822,530,698,702,870,779,136,205,148,381,193,662,398,
777,244,828,425,491,846,717,180,044,577,647,458,535,189,600,677,317,001,140,
503,211,045,911,971,956,517,342,657,324,614,450,827,962,542,798,417,208,996,
660,288,043,161,247,501,577,455,929,209,624,229,913,875,462,674,609,187,274,
116,905,550,821,883,632,386,994,713,346,447,401,292,184,284,726,959,480,868,
479,388,225,038,309,664,642,793,082,801,161,265,071,798,137,644,698,696,435,
050,846,862,120,043,759,908,760,272,314,283,921,713,386,731,285,989,458,795,
156,261,245,432,792,048,716,387,273,575,422,036,426,185,305,129,486,027,605,
355,072,934,686,983,285,483,620,792,827,223,999,794,740,071,810,522,826,163,
635,825,870,955,306,473,800,719,423,011,920,648,887,550,269,785,085,504,422,
989,523,428,182,997,589,613,231,402,281,960,656,997,812,271,224,473,596,817,
361,120,467,008,560,787,651,462,381,358,475,907,354,193,828,226,543,740,075,
729,577,077,204,146,185,001,897,545,822,427,249,669,710,254,431,168,236,809,
325,734,018,805,758,063,899,628,125,058,524,491,247,598,636,812,978,890,429,
770,270,341,448,500,617,866,837,154,077,198,938,672,339,030,029,153,447,115,
479,220,338,207,900,957,925,343,231,015,409,309,029,388,420,147,750,106,713,
765,265,424,416,527,264,568,076,706,829,549,563,077,155,688,553,082,208,306,
855,722,229,266,380,442,378,533,134,591,976,734,889,936,087,065,339,738,561,
098,424,145,859,468,398,898,836,801,891,783,473,999,447,439,178,743,678,365,
346,610,685,985,584,968,564,049,667,966,050,232,867,738,045,868,791,514,031,
382,097,357,426,903,835,863,507,124,285,942,857,985,691,432,292,536,573,405,
379,449,126,105,450,250,539,704,379,840,512,589,557,203,268,551,049,156,009,
171,198,403,968,225,381,641,705,813,939,268,425,811,484,319,258,399,786,050,
735,898,314,176,130,480,950,886,769,677,460,934,754,457,815,750,410,437,772,
019,395,857,531,276,542,347,631,933,081,917,349,614,729,660,838,591,577,389,
513,789,386,690,182,780,408,846,195,010,385,386,065,788,401,871,385,880,081,
956,651,715,099,771,780,183,084,826,623,875,500,710,117,827,354,045,458,388,
212,800,159,649,072,734,689,870,321,840,702,840,405,411,434,094,598,297,944,
656,761,980,047,522,990,323,186,066,325,521,955,321,374,126,791,685,959,116,
741,147,024,903,948,077,908,474,706,239,427,649,399,815,840,441,581,590,745,
626,827,582,274,383,902,142,132,170,892,869,871,231,794,610,026,017,591,442,
019,414,405,947,075,591,329,009,177,168,385,089,351,807,395,166,716,295,621,
655,632,445,000,448,401,222,755,558,335,341,711,110,509,932,956,361,369,189,
249,688,998,555,674,853,326,290,581,071,305,480,032,246,493,938,739,908,239,
500,996,049,817,990,797,810,257,317,972,242,473,528,308,311,893,130,485,183,
339,880,875,266,264,752,797,085,660,216,183,560,921,961,062,375,555,635,244,
175,408,614,845,686,482,934,518,618,182,592,932,831,121,029,664,084,821,144,
186,640,514,089,436,989,311,826,502,411,780,376,913,830,847,164,794,883,157,
932,837,855,604,623,926,033,972,673,250,144,705,052,744,886,500,891,542,537,
871,369,576,648,447,540,739,348,346,494,138,568,608,762,851,928,099,703,179,
334,925,591,549,611,695,921,391,508,245,098,958,469,285,778,596,528,348,027,
856,545,732,776,148,185,992,778,689,277,112,547,436,317,415,781,643,687,521,
472,645,235,279,018,406,120,819,099,162,709,102,511,026,053,515,634,652,286,
147,965,545,177,600,395,106,342,684,985,213,806,539,577,680,348,718,943,699,
466,259,052,853,753,762,833,212,040,738,188,359,184,990,558,603,316,940,475,
488,268,854,555,426,570,385,534,043,562,606,598,273,834,070,422,029,225,278,
972,680,648,791,507,091,488,141,399,729,615,207,591,583,745,886,487,478,115,
018,411,372,234,100,836,745,574,976,443,076,626,487,154,985,987,148,759,286,
509,743,431,659,322,337,197,630,507,134,652,265,584,328,164,514,232,910,840,
873,424,462,767,120,336,109,080,394,963,765,415,549,491,621,815,671,813,348,
021,473,344,915,702,266,675,397,656,683,420,741,222,731,222,509,584,342,097,
511,198,218,542,153,010,203,231,977,954,644,458,567,451,038,770,467,300,309,
675,268,822,496,896,388,629,626,927,777,226,605,238,163,090,585,072,711,765,
804,059,518,626,351,395,506,187,747,880,806,141,037,326,020,420,003,039,338,
204,285,415,606,798,274,503,662,784,686,206,524,511,528,788,033,493,316,840,
292,023,641,724,454,624,442,711,536,097,346,289,967,970,550,355,111,078,214,
707,240,778,197,561,095,618,007,648,501,034,855,199,292,246,956,299,240,603,
580,117,748,156,143,866,385,125,181,873,927,446,727,896,213,157,118,490,855,
230,201,674,060,403,554,075,708,192,127,404,925,569,122,592,692,445,364,043,
058,728,675,684,676,669,916,690,066,479,712,381,906,093,255,092,645,962,100,
340,087,359,769,714,833,117,472,325,111,518,575,324,602,372,549,455,853,567,
214,128,596,555,949,039,182,674,092,897,058,183,914,464,792,987,082,726,285,
967,474,399,350,683,244,182,275,455,330,844,940,231,908,211,057,685,045,572,
863,998,547,896,418,840,395,466,286,332,804,284,232,928,050,257,140,608,735,
599,021,419,435,087,662,922,967,015,650,846,760,415,548,880,800,155,225,684,
681,813,662,284,365,301,270,835,049,107,590,031,327,631,249,060,037,678,152,
445,985,536,679,391,037,262,885,017,071,118,367,031,515,859,409,380,022,608,
769,142,262,690,151,525,130,543,613,403,690,018,121,854,327,850,974,384,969,
710,609,226,587,397,479,415,189,368,201,111,768,647,176,959,058,885,579,825,
027,075,026,947,721,820,425,455,969,716,466,654,784,679,174,118,181,806,638,
405,740,941,918,499,457,790,436,985,315,543,427,686,338,755,501,822,814,080,
891,870,790,481,194,693,590,739,127,351,200,158,372,610,450,060,205,858,555,
907,805,950,938,537,705,128,093,235,830,879,054,912,976,977,229,722,988,413,
972,764,947,457,068,352,309,159,829,540,791,039,121,080,062,373,050,292,340,
271,758,045,471,506,834,879,934,676,700,569,185,684,936,896,389,014,088,554,
190,100,848,885,159,604,502,277,582,416,567,249,392,321,579,165,631,735,266,
532,717,033,127,911,790,306,207,989,235,673,991,713,007,120,505,279,229,060,
560,832,682,619,966,061,729,679,789,553,679,714,780,514,972,911,857,081,165,
042,223,401,734,054,060,771,424,077,262,988,629,075,392,902,332,734,700,029,
202,758,133,003,766,210,634,922,434,298,960,197,831,104,588,701,611,064,291,
067,725,866,990,746,984,115,148,722,917,290,637,916,130,854,456,988,354,498,
897,964,607,541,475,033,082,844,630,619,475,989,064,455,191,383,891,267,908,
186,073,617,759,345,790,989,075,497,255,226,795,644,737,978,317,151,820,549,
650,337,784,677,902,238,727,512,632,161,057,623,359,698,158,606,688,170,454,
210,681,553,846,232,293,980,324,873,803,838,148,347,564,002,750,506,234,881,
353,595,345,038,607,957,109,298,586,550,978,453,437,073,189,384,347,992,445,
554,539,705,329,235,675,123,838,445,096,092,512,319,374,099,494,448,262,719,
021,698,580,230,390,909,122,627,195,719,774,480,736,969,346,607,965,606,195,
932,566,554,240,759,236,020,980,710,133,025,027,846,426,074,971,470,700,841,
148,155,870,875,289,346,062,789,179,207,237,414,577,881,625,598,760,232,590,
968,278,500,943,579,481,029,269,916,583,749,095,215,569,664,080,525,100,888,
567,310,342,181,738,934,810,527,678,309,092,105,652,857,646,658,479,021,929,
323,897,310,487,094,268,343,480,126,606,729,233,474,934,310,979,954,314,123,
220,928,798,166,683,646,773,826,162,728,176,255,231,825,147,680,304,072,603,
109,467,969,856,484,215,449,571,460,476,628,596,608,638,337,952,729,811,940,
623,233,540,138,526,836,085,738,766,020,120,764,402,546,384,499,338,190,588,
782,756,511,663,069,950,565,927,648,533,110,669,632,360,004,458,523,297,185,
978,354,898,310,801,578,562,275,301,066,640,998,304,259,843,422,558,101,730,
214,047,772,595,809,662,786,145,636,876,107,306,790,844,277,362,145,750,622,
787,254,043,854,924,629,726,994,097,992,105,676,623,180,105,217,266,206,697,
374,364,767,525,072,588,661,093,215,987,241,706,381,976,040,684,156,133,853,
773,114,393,975,092,059,911,771,633,073,002,542,293,600,032,896,332,486,381,
205,805,938,553,788,793,221,714,598,551,917,827,637,851,622,662,664,822,656,
396,469,989,614,036,451,470,827,824,180,219,969,470,689,261,592,130,793,153,
680,870,309,028,863,638,027,489,136,983,783,086,025,301,939,476,032,203,558,
574,222,794,220,990,276,966,492,845,215,328,559,052,568,518,252,648,577,973,
564,800,635,254,256,245,293,500,041,393,273,257,122,094,992,850,856,147,245,
949,797,074,378,760,999,316,464,278,643,482,873,333,983,920,025,694,508,617,
010,955,242,488,301,650,125,868,167,682,170,558,230,823,558,400,731,342,464,
277,706,068,651,821,546,161,475,787,427,730,847,547,911,610,990,523,960,269,
865,564,927,012,984,101,231,143,428,749,187,022,304,585,379,729,077,181,823,
896,499,851,007,851,394,399,363,623,716,577,356,107,818,696,443,433,091,459,
543,579,465,357,753,134,179,191,065,187,972,944,547,326,805,797,558,805,790,
585,006,644,760,665,776,103,263,781,836,565,879,438,021,758,413,662,836,045,
987,016,604,947,095,572,837,469,041,130,700,982,845,538,534,100,145,770,980,
726,228,059,100,059,198,988,200,479,029,443,709,350,500,998,072,582,687,426,
301,646,022,327,272,068,019,822,755,284,198,141,605,831,411,235,548,381,452,
679,964,176,975,168,463,683,205,130,942,784,262,351,305,541,424,728,368,188,
181,566,905,022,797,287,614,511,952,565,518,769,544,676,625,618,298,702,512,
153,779,754,011,011,172,828,039,892,553,009,914,738,607,558,148,189,177,113,
835,430,058,093,466,251,162,439,810,875,073,547,805,667,009,060,237,132,375,
399,712,885,909,113,748,015,395,323,967,051,821,267,601,199,885,224,842,576,
432,985,725,419,878,254,966,097,956,174,203,100,205,442,020,055,365,896,448,
307,184,824,837,144,664,418,379,054,132,072,276,491,438,704,396,042,221,878,
241,692,792,514,294,466,603,166,922,022,834,671,729,857,817,410,517,209,305,
542,785,251,441,951,983,439,278,215,277,223,332,612,284,358,999,361,071,623,
771,668,018,384,332,233,638,816,129,224,316,856,174,665,142,013,804,947,597,
819,064,922,674,682,630,695,709,100,282,321,293,715,213,306,179,463,883,251,
296,776,356,816,812,982,453,686,153,225,468,588,729,731,599,696,009,542,959,
250,072,513,215,366,615,267,634,501,936,462,660,334,737,747,953,426,989,584,
008,010,346,805,699,963,470,890,016,363,045,058,882,214,146,224,182,220,908,
387,972,176,055,642,129,115,218,150,345,781,477,788,603,106,584,075,397,074,
466,447,259,292,687,819,469,424,456,818,800,316,482,867,307,585,035,927,697,
351,143,341,281,385,757,756,983,140,230,401,707,401,660,572,897,406,311,037,
208,354,500,081,092,471,805,558,153,151,627,697,693,685,720,261,006,435,181,
261,494,651,858,150,940,276,781,909,560,426,166,078,488,326,059,091,499,624,
732,646,186,700,989,178,828,642,143,170,273,215,913,936,883,615,489,550,416,
228,547,497,504,929,715,861,211,355,155,094,426,733,119,097,788,375,579,045,
711,735,088,079,270,117,912,405,432,692,897,766,443,073,181,119,919,432,548,
097,323,250,939,442,173,988,262,845,532,213,476,855,208,801,524,862,863,879,
394,296,025,971,308,095,338,497,972,250,667,299,073,287,105,235,552,410,978,
629,617,640,493,764,048,192,209,327,948,303,628,928,530,194,093,409,155,624,
152,509,063,486,433,580,001,519,523,401,067,125,092,809,087,628,543,287,305,
004,337,204,408,998,947,892,810,795,724,323,754,805,601,708,181,298,681,714,
038,708,291,867,106,225,887,737,085,983,523,161,042,656,498,932,612,530,195,
896,580,885,912,685,565,382,999,862,255,067,175,708,203,074,924,375,383,206,
114,386,232,904,418,554,045,712,751,353,069,582,819,692,296,048,206,002,715,
121,374,902,370,749,973,130,262,574,881,469,307,066,295,941,568,147,463,828,
193,413,942,925,950,864,301,576,403,302,638,434,978,584,990,726,055,546,024,
032,953,016,199,054,158,707,124,790,723,733,533,531,205,203,424,848,483,602,
955,923,284,868,931,973,729,569,315,396,092,357,173,177,300,926,082,170,684,
206,471,625,041,213,113,668,419,880,244,670,620,089,296,971,512,358,991,397,
652,511,937,003,967,045,281,330,583,317,492,709,972,053,168,188,610,201,145,
253,807,339,260,118,880,665,267,391,386,131,212,900,660,974,966,544,548,904,
713,322,351,936,327,545,643,103,479,720,456,220,561,737,083,694,063,670,238,
088,295,917,090,162,228,035,069,437,283,404,140,420,195,023,442,386,548,416,
500,865,680,564,998,996,920,169,076,182,047,527,985,003,478,233,328,166,246,
585,107,867,045,950,587,050,445,026,630,969,872,698,246,732,653,427,138,786,
071,291,130,607,356,105,822,884,632,713,770,286,513,724,549,067,788,074,126,
274,410,558,169,100,664,582,428,041,098,391,840,507,757,596,864,506,881,564,
672,010,522,543,623,133,670,016,124,530,613,579,394,184,437,231,272,110,906,
058,636,597,239,388,782,818,124,028,052,481,901,830,300,023,639,022,671,356,
002,186,654,585,846,268,312,498,514,651,697,879,835,684,366,540,400,895,763,
025,927,507,659,660,672,409,647,519,043,839,574,497,798,623,375,434,042,136,
948,803,946,084,521,711,652,903,089,887,707,677,839,384,488,287,279,510,574,
718,801,431,195,898,749,548,047,194,937,017,095,880,615,368,066,698,536,781,
362,641,683,863,450,275,474,292,351,698,190,874,452,990,943,447,334,775,116,
977,017,863,184,944,484,439,528,546,987,592,907,668,605,073,426,280,180,856,
621,440,089,453,277,552,643,008,440,353,934,576,711,420,020,035,508,671,680,
414,805,170,952,610,256,144,376,525,524,826,207,996,616,746,968,341,775,030,
148,762,392,650,206,156,224,310,613,413,237,968,668,502,383,070,167,105,082,
739,257,661,366,006,220,592,795,643,722,591,237,163,577,658,511,708,587,315,
388,693,472,483,617,298,842,675,775,299,213,526,309,488,827,358,680,607,946,
138,995,904,437,869,104,617,711,401,243,278,748,941,999,421,561,821,654,249,
631,153,364,397,131,993,793,799,032,816,396,449,094,870,327,792,892,503,613,
342,295,616,046,451,625,884,757,799,417,098,133,421,790,442,274,953,229,830,
742,008,301,572,700,901,581,555,005,098,141,556,352,661,037,644,366,348,110,
581,375,049,480,169,962,446,346,675,514,488,484,478,389,958,021,861,762,353,
468,557,795,003,808,779,838,482,351,654,067,069,465,040,404,921,151,904,481,
623,840,931,059,576,999,591,706,494,258,490,870,004,355,377,328,615,486,417,
642,231,259,862,665,117,022,405,286,554,131,974,704,580,852,263,865,001,732,
141,630,784,499,419,231,807,761,190,345,941,587,756,361,962,955,897,426,483,
566,726,087,728,169,382,790,766,050,966,588,342,193,492,338,863,405,976,962,
515,694,833,360,968,956,388,271,344,156,061,542,507,096,573,876,979,133,392,
728,522,022,363,857,327,962,913,161,556,901,398,414,337,946,208,733,744,720,
662,630,209,291,128,410,929,655,685,587,077,291,428,385,066,799,867,612,025,
457,299,929,041,895,605,119,814,537,610,506,598,271,828,480,225,315,391,758,
157,067,434,816,684,665,339,275,072,584,017,128,828,127,133,251,644,876,523,
894,127,526,223,989,184,821,301,253,753,513,615,255,575,121,488,875,669,507,
275,347,560,465,779,341,565,385,171,133,203,003,729,489,901,926,739,707,906,
328,254,255,744,186,266,459,752,046,355,822,147,844,279,013,240,622,552,129,
280,989,645,742,131,083,904,722,115,418,798,794,370,281,126,956,424,169,266,
673,920,500,527,454,072,492,101,608,242,934,285,192,819,823,830,653,690,387,
739,383,387,358,919,871,221,403,195,630,219,179,019,190,600,322,482,828,396,
257,636,178,308,524,898,482,981,109,412,859,317,956,854,783,475,437,952,933,
329,363,767,026,201,687,775,742,683,649,063,740,230,820,869,878,784,492,456,
113,892,401,460,140,680,520,618,282,225,980,382,434,181,223,837,951,756,144,
497,397,105,585,252,093,633,349,739,471,113,801,633,426,461,745,588,877,537,
488,327,007,296,662,379,054,872,091,152,111,746,107,744,547,123,952,112,443,
276,314,650,912,715,224,627,149,419,627,337,109,443,340,502,412,145,502,771,
211,900,586,055,962,389,604,135,337,391,334,378,373,474,140,672,094,660,155,
068,005,005,813,803,221,309,839,115,639,985,302,907,471,560,173,509,111,672,
466,253,104,574,973,026,068,081,129,341,719,786,630,333,235,165,496,644,853,
710,317,619,253,058,624,550,536,952,357,351,331,846,533,965,988,190,863,114,
098,305,074,178,559,097,845,604,126,979,823,175,250,344,050,808,957,794,942,
529,840,862,369,591,124,759,046,148,469,363,750,614,628,355,967,843,723,341,
732,328,443,119,869,180,474,755,231,528,559,993,347,254,076,688,566,480,040,
823,244,920,785,943,432,361,919,118,564,203,909,568,580,595,946,509,926,194,
682,772,477,578,141,808,689,492,732,770,050,397,377,485,779,873,071,886,476,
664,087,673,032,069,760,430,426,192,808,749,338,245,479,972,033,604,469,592,
332,682,285,979,265,426,063,817,448,805,302,066,052,644,332,160,224,111,338,
679,685,916,311,350,812,827,515,214,761,734,599,521,324,747,614,830,633,609,
622,811,321,881,322,342,195,187,926,182,678,187,963,064,465,216,459,439,964,
865,515,889,188,795,182,152,912,952,828,110,437,704,550,643,632,955,496,785,
592,969,287,255,584,915,759,518,832,408,634,956,724,042,223,047,562,204,150,
781,659,921,700,044,980,187,498,091,048,375,840,017,742,206,285,715,228,030,
725,782,994,045,292,420,760,014,688,545,795,562,476,194,140,972,370,987,403,
165,393,834,783,113,437,047,826,535,792,721,450,435,609,683,450,821,809,281,
026,449,542,889,371,489,366,439,677,186,054,392,977,359,572,205,290,765,677,
961,975,291,463,312,211,644,507,387,184,809,525,607,687,706,444,812,874,282,
234,874,796,179,069,876,641,889,311,845,421,490,714,223,063,649,435,217,613,
388,466,941,640,314,471,960,533,947,637,218,021,268,278,690,650,583,977,821,
236,265,373,917,423,485,333,524,417,437,531,193,286,943,884,139,223,033,765,
588,960,739,435,889,828,023,157,403,233,725,721,464,382,078,274,802,297,273,
111,610,721,288,937,353,442,004,810,086,451,044,511,292,466,730,124,721,845,
885,271,125,163,673,085,965,662,281,882,420,878,646,562,509,374,495,445,327,
733,647,021,031,290,846,101,269,022,708,118,432,818,887,819,723,885,008,670,
006,877,273,437,602,858,452,406,943,621,727,068,414,192,700,011,457,195,865,
635,652,647,780,072,097,430,087,329,041,389,872,660,685,569,076,730,936,133,
788,152,972,698,360,020,651,254,835,966,732,371,117,529,601,393,134,355,331,
220,571,344,738,249,584,321,154,902,776,963,536,906,323,443,588,992,059,057,
076,232,878,460,748,759,202,590,875,861,404,548,483,990,691,464,315,553,251,
820,206,388,022,502,969,885,217,215,028,403,990,321,060,525,939,985,086,363,
618,013,580,996,249,719,727,557,295,271,717,460,745,443,654,343,143,254,429,
660,270,821,560,920,563,403,448,402,795,192,840,618,362,707,693,151,161,709,
410,055,631,025,300,172,699,316,335,304,499,320,461,391,948,488,518,596,773,
541,364,060,430,575,162,991,225,844,681,957,188,438,723,319,189,904,374,113,
446,417,207,143,864,569,847,447,890,479,844,655,836,629,692,822,616,656,867,
520,507,461,833,448,246,177,941,753,857,264,083,638,844,042,957,422,340,210,
057,671,196,596,065,917,300,491,896,088,689,724,633,792,215,307,702,822,889,
925,114,211,039,196,202,584,611,539,034,867,665,082,741,012,597,509,284,897,
159,012,625,815,679,414,943,025,017,065,933,065,845,548,002,101,506,089,205,
539,603,529,204,392,191,395,236,885,358,962,206,490,165,368,501,257,928,383,
670,214,314,194,809,828,693,785,313,524,455,399,850,920,126,760,932,718,381,
877,007,653,240,647,884,624,735,589,755,144,921,202,617,631,922,674,228,375,
483,572,439,179,585,176,429,931,800,560,157,148,974,590,132,678,413,695,521,
391,709,251,642,698,863,840,357,156,642,978,052,657,548,286,162,280,240,456,
716,413,015,758,670,331,945,110,903,130,256,515,875,472,825,406,762,949,146,
688,027,455,220,902,072,582,420,969,872,871,708,710,479,280,680,615,769,941,
413,812,263,347,078,690,696,980,155,950,848,055,162,778,058,341,946,201,147,
085,634,242,943,860,662,756,287,413,762,790,849,196,307,882,738,912,722,290,
403,093,474,633,336,739,139,603,119,119,863,758,317,125,887,251,377,138,327,
999,252,570,813,319,411,919,606,153,284,488,899,326,328,265,181,664,966,564,
588,634,404,482,143,167,160,966,409,985,122,793,742,230,488,870,262,480,696,
489,580,404,495,045,266,699,974,691,467,986,939,138,214,026,653,638,137,751,
388,281,906,006,368,398,305,379,003,919,548,038,484,951,344,124,256,343,426,
311,097,475,447,355,984,272,185,245,080,186,619,880,361,997,054,430,125,397,
118,359,633,749,112,452,044,565,108,429,938,203,812,477,531,085,557,387,139,
246,583,421,327,487,930,222,056,651,304,143,407,358,667,402,921,704,433,270,
193,778,836,090,018,751,094,013,524,115,458,693,946,412,395,094,025,915,367,
010,962,758,854,015,312,025,834,245,914,154,209,942,243,350,084,650,318,207,
782,094,041,878,181,322,306,085,604,354,798,132,605,242,259,165,531,580,845,
561,777,609,776,733,097,517,013,780,955,727,001,897,522,372,750,845,443,279,
344,144,164,145,447,475,829,437,917,372,088,360,287,976,112,297,470,049,602,
877,783,584,456,763,712,691,874,463,731,257,467,397,809,398,768,294,117,199,
331,842,997,800,332,067,423,185,260,287,652,233,609,744,542,968,339,186,338,
515,133,001,493,042,104,089,168,661,320,496,119,107,848,072,992,120,917,523,
423,432,161,643,508,724,320,644,256,829,653,762,543,543,496,864,198,720,370,
724,837,204,379,167,909,164,727,905,097,526,156,980,975,796,633,244,601,495,
009,601,322,391,755,067,256,137,384,100,678,101,809,744,353,655,097,601,361,
014,939,246,505,236,571,825,439,940,231,221,644,702,986,821,028,860,968,958,
444,821,783,442,175,372,878,312,534,007,197,025,902,784,646,231,422,688,388,
242,688,529,211,523,365,592,126,326,632,232,071,753,117,274,488,552,190,012,
940,655,872,648,180,826,839,672,219,011,432,574,654,760,727,980,212,818,993,
331,327,664,483,378,791,655,086,881,560,794,686,768,402,290,663,410,465,076,
834,279,821,242,018,669,899,436,944,392,537,678,842,557,175,663,694,287,704,
437,963,788,615,589,951,052,909,363,411,890,500,317,579,989,611,427,576,994,
067,195,180,411,346,909,278,081,460,732,872,401,637,976,670,877,313,976,380,
241,982,650,257,703,043,264,861,201,877,105,728,382,480,176,833,648,475,157,
392,605,356,407,024,400,355,511,082,803,584,896,394,571,182,522,729,842,466,
087,037,981,971,273,075,688,996,017,132,512,279,681,898,024,103,699,245,518,
685,325,036,852,972,611,338,947,044,421,524,692,320,464,430,611,518,897,521,
965,669,666,087,551,188,559,271,005,075,096,397,723,235,172,635,901,541,715,
743,397,944,587,526,612,233,373,140,079,970,020,752,589,219,320,138,675,040,
189,992,054,594,029,901,088,690,784,456,326,186,286,253,569,967,400,832,361,
225,327,933,516,431,924,907,609,688,490,788,735,539,762,596,003,493,088,703,
735,316,241,484,805,743,257,413,010,048,353,118,430,874,093,078,163,590,711,
251,127,325,143,935,643,508,204,561,106,954,264,950,844,105,020,700,842,417,
254,020,902,175,817,002,418,353,388,455,775,564,977,907,974,222,193,901,066,
653,454,808,634,982,528,612,204,587,728,953,880,929,784,833,545,530,512,781,
972,949,090,626,074,951,446,370,163,661,586,085,887,595,389,700,188,584,159,
299,743,072,447,521,847,106,664,917,042,930,239,612,262,729,061,830,637,159,
158,446,299,473,544,275,233,893,126,036,721,682,876,783,895,563,521,863,343,
656,559,739,941,068,371,013,995,036,509,865,800,727,715,279,639,754,120,442,
967,777,586,473,339,280,271,499,687,871,320,994,187,251,082,729,518,979,824,
980,615,878,186,479,969,059,776,503,395,702,944,891,342,617,224,082,979,984,
744,650,051,491,608,808,965,732,191,809,433,192,458,915,418,227,790,632,632,
628,351,817,829,761,186,211,718,376,060,360,331,103,006,100,053,528,063,360,
346,656,715,437,862,128,186,595,370,924,513,549,590,489,804,463,127,145,734,
795,556,920,499,405,865,419,678,807,406,758,274,303,112,188,460,731,712,717,
004,294,356,961,189,131,838,848,980,698,833,587,079,558,958,695,668,589,102,
889,863,889,259,961,302,144,474,268,814,795,717,333,281,292,930,653,538,051,
359,684,961,737,769,867,128,064,342,729,747,122,555,359,735,987,710,164,631,
275,105,155,048,031,890,344,632,746,874,630,429,900,440,098,700,655,714,276,
959,961,194,145,374,878,598,968,885,608,625,567,049,231,547,107,854,885,154,
295,049,027,721,500,885,823,908,138,775,316,622,865,847,084,703,082,483,158,
091,907,649,983,302,913,255,185,382,684,296,872,496,731,535,698,322,717,054,
262,933,356,741,248,879,999,411,924,582,349,358,898,352,481,685,841,616,681,
514,995,166,948,268,599,240,649,762,503,205,816,058,897,046,558,181,515,013,
624,121,417,982,148,769,210,307,525,538,208,689,940,482,228,544,841,181,746,
712,238,344,934,080,525,545,921,600,617,462,671,514,687,218,326,098,339,338,
931,453,631,376,145,176,206,343,334,252,472,146,541,793,473,805,316,436,200,
365,673,572,255,284,325,712,029,346,696,335,493,266,879,160,602,416,186,448,
804,355,885,487,216,768,217,396,697,750,650,456,136,729,612,745,568,858,893,
490,596,528,108,924,509,507,678,689,326,018,110,927,261,875,851,876,091,852,
353,388,502,208,941,298,962,761,091,387,028,609,076,262,495,043,331,379,407,
477,520,930,255,636,521,398,242,109,416,027,166,995,196,976,216,018,879,743,
289,692,006,876,497,693,826,077,179,226,105,383,333,613,790,623,383,301,163,
514,371,717,418,418,378,003,088,491,494,835,849,221,886,446,497,500,271,301,
001,509,191,444,854,450,720,253,927,257,707,659,861,370,921,482,293,259,459,
170,363,965,036,771,275,935,159,797,495,351,768,399,617,208,036,438,099,909,
965,929,773,695,657,602,456,285,573,409,985,191,475,328,437,144,053,831,015,
407,573,637,305,668,651,098,530,183,139,433,131,969,863,164,979,434,589,679,
880,663,052,670,480,677,584,631,291,110,042,755,957,445,520,064,642,330,412,
983,648,773,636,107,759,294,227,721,703,782,279,605,269,253,289,621,689,343,
646,268,132,834,291,094,676,779,297,180,370,537,254,191,096,247,359,900,520,
217,394,800,607,418,930,948,678,231,273,805,051,968,051,941,617,434,649,046,
504,151,925,458,354,773,028,978,998,258,158,041,838,427,361,208,729,360,875,
381,295,789,285,774,224,066,176,094,742,452,092,294,920,860,498,583,977,002,
349,788,263,870,157,003,465,381,585,227,974,122,838,316,645,444,125,634,981,
150,461,974,195,795,294,955,131,131,518,242,980,900,940,715,461,427,809,489,
563,404,165,874,016,797,129,953,656,392,432,185,257,745,549,945,416,320,441,
287,725,441,245,587,334,549,893,425,952,181,498,542,168,882,807,049,041,258,
039,228,151,150,117,363,060,676,537,650,353,482,215,413,074,301,733,971,611,
383,837,496,026,276,144,932,975,609,093,535,299,971,509,642,866,983,807,219,
026,600,587,942,144,421,364,540,238,602,684,678,281,890,703,602,409,639,405,
109,613,793,860,893,887,971,073,762,122,774,443,677,702,291,790,204,151,433,
637,204,564,482,439,252,343,195,007,241,864,974,218,106,267,344,969,752,036,
956,983,105,246,202,809,984,998,900,703,889,677,165,451,573,386,895,842,432,
854,513,756,605,515,622,451,162,497,464,082,554,472,902,605,037,001,141,979,
507,787,157,088,493,836,081,908,765,989,535,234,059,274,000,088,430,748,302,
063,697,710,219,437,971,592,385,759,064,794,566,341,699,946,881,334,146,626,
673,444,102,378,523,328,381,826,791,296,489,085,094,000,605,599,504,377,994,
390,002,401,621,610,404,154,539,210,425,773,073,590,464,208,839,430,951,410,
680,326,086,187,987,567,338,465,354,366,938,673,040,190,288,157,454,142,220,
877,772,571,657,117,009,042,596,898,184,067,591,998,378,305,003,079,466,632,
879,459,906,098,332,852,432,762,587,306,240,561,330,907,516,319,266,647,914,
284,768,076,189,989,091,122,214,174,042,739,207,456,053,639,684,671,464,111,
878,846,858,513,916,144,142,585,313,854,013,961,065,988,416,238,457,196,985,
011,645,834,776,729,128,780,520,898,436,327,760,005,349,456,469,102,488,338,
462,954,655,072,757,796,345,001,734,634,849,696,976,368,081,293,545,344,547,
253,244,802,515,504,763,065,406,187,452,649,990,276,726,485,311,852,103,011,
799,327,239,976,340,698,540,336,917,179,685,656,652,992,518,919,310,893,150,
581,175,622,977,815,880,047,434,358,290,846,506,325,105,393,650,912,735,104,
614,736,825,562,876,521,689,423,741,440,958,459,790,241,373,202,976,599,634,
179,895,367,410,301,038,177,549,071,545,507,788,560,239,687,623,359,476,765,
172,683,916,906,852,394,899,778,197,123,869,200,815,026,800,811,749,504,498,
863,751,739,904,590,935,302,608,812,961,905,125,490,292,712,118,576,154,339,
524,464,586,834,485,634,834,879,078,868,026,110,008,108,318,916,418,081,806,
777,538,032,535,238,440,246,067,283,941,497,262,321,089,861,096,321,355,268,
899,913,997,186,226,392,481,385,723,371,609,095,362,724,422,328,834,983,959,
943,302,017,664,479,929,670,958,219,574,875,657,185,536,543,285,979,185,170,
980,147,824,044,740,306,021,800,517,318,071,425,385,108,548,372,419,543,052,
799,639,287,922,608,406,800,767,106,303,948,515,215,259,725,616,316,958,740,
155,382,122,184,343,348,006,915,798,020,090,084,667,839,657,814,269,332,525,
318,659,340,058,831,370,785,199,574,380,442,296,855,819,518,568,753,441,373,
316,497,629,371,108,211,177,609,696,992,774,678,059,795,035,847,418,239,798,
092,129,138,552,362,145,676,731,442,378,834,577,642,778,770,118,850,803,313,
390,460,155,845,155,737,824,654,146,339,866,090,898,711,123,987,096,898,507,
525,590,121,355,399,980,540,295,622,749,054,474,530,303,235,529,780,894,242,
525,540,045,648,043,460,323,515,538,832,471,251,770,625,557,610,851,114,769,
582,547,725,001,980,903,451,465,187,552,583,935,772,236,815,846,067,163,200,
341,928,792,010,336,602,871,961,271,857,815,831,022,506,445,607,238,584,498,
323,988,204,283,279,579,870,723,317,659,519,980,165,380,470,553,779,636,524,
191,667,327,421,599,681,002,065,771,701,918,330,407,263,050,151,092,707,557,
363,431,524,435,538,981,121,364,544,304,128,164,865,879,601,556,021,964,019,
169,036,411,674,810,068,996,437,131,073,864,232,329,820,038,428,150,583,104,
162,816,844,087,199,081,142,999,529,410,836,213,075,221,385,434,514,446,024,
312,828,588,548,074,883,751,521,089,505,619,152,442,231,522,397,400,861,569,
090,759,684,509,665,723,141,129,104,325,907,265,203,016,404,987,956,689,629,
725,220,927,965,584,251,456,986,278,357,296,311,756,720,988,082,865,922,461,
931,245,221,584,711,440,752,355,774,496,335,980,411,939,479,347,061,973,565,
769,702,089,832,073,851,790,007,042,355,805,704,880,031,259,858,791,640,452,
413,200,804,402,682,408,457,438,528,393,803,142,347,515,905,974,268,591,344,
633,690,396,446,216,985,149,966,677,838,459,295,572,293,513,115,241,922,138,
974,362,616,887,022,978,699,378,687,326,295,998,642,711,461,079,416,336,055,
323,793,575,940,841,665,009,534,851,210,840,716,425,112,106,592,869,450,713,
910,413,017,383,431,615,942,489,912,246,252,574,064,940,571,257,135,555,195,
101,352,364,953,571,620,371,222,262,154,255,013,851,082,754,777,597,172,375,
721,008,246,833,864,418,423,087,696,402,608,657,803,264,708,512,905,947,703,
690,778,524,084,862,247,590,276,891,710,748,341,833,846,586,104,894,177,286,
379,754,142,667,917,337,170,831,069,546,941,708,233,678,137,514,282,584,443,
482,879,247,026,897,576,027,189,645,944,574,700,637,359,631,375,443,427,418,
883,458,884,730,254,766,018,475,238,689,426,916,590,443,634,339,132,285,290,
676,000,783,036,570,281,508,921,394,761,136,030,847,415,509,523,986,958,688,
983,915,033,626,766,220,364,734,858,093,302,381,362,089,973,693,981,526,938,
838,332,266,737,941,677,198,512,347,645,682,739,066,734,060,611,971,106,717,
941,273,883,911,717,467,606,281,368,817,206,632,271,987,170,363,791,190,310,
344,914,444,521,524,923,119,191,550,519,253,150,208,561,814,469,941,407,216,
406,793,757,504,352,656,841,736,392,036,828,385,901,196,379,125,243,025,168,
381,362,903,402,355,582,149,274,756,072,475,979,582,648,909,632,158,331,977,
607,173,431,728,058,318,466,375,476,358,065,385,267,606,234,482,165,733,637,
341,898,973,989,874,509,067,068,902,416,486,987,141,141,197,562,500,687,202,
067,245,863,296,024,371,322,548,908,291,648,164,301,388,438,990,231,357,238,
743,074,122,762,869,488,347,078,609,374,830,212,062,704,371,035,475,465,909,
001,948,693,573,011,565,269,750,042,195,324,236,189,934,921,572,207,399,648,
878,483,760,626,801,277,631,362,579,891,991,087,318,377,743,276,547,591,756,
737,347,114,188,782,861,429,320,536,910,366,246,699,796,029,647,027,153,584,
454,294,187,931,134,381,502,599,548,175,179,043,425,910,555,912,625,422,890,
666,141,606,583,637,045,629,759,826,039,521,639,883,594,677,806,759,736,681,
096,864,372,712,652,589,471,409,551,155,167,483,119,432,634,740,191,146,208,
934,686,093,071,416,888,209,903,554,170,820,013,285,314,029,456,566,503,483,
773,444,543,521,813,267,492,115,138,507,157,073,722,414,848,044,247,982,840,
387,147,870,679,958,938,913,175,454,295,942,677,364,933,983,778,204,284,094,
254,668,482,435,864,555,537,540,117,976,488,347,152,465,002,106,458,698,465,
261,334,351,460,379,614,461,328,322,179,951,944,407,754,988,433,946,525,695,
466,236,270,026,504,392,402,507,977,737,493,275,585,653,124,337,686,147,764,
779,114,952,476,195,541,135,922,230,441,867,211,444,199,265,688,630,821,939,
252,305,787,335,637,925,831,642,119,868,452,170,376,907,504,775,787,604,727,
653,142,226,123,915,216,212,113,901,341,315,608,285,656,621,164,649,850,984,
769,474,334,723,814,176,874,780,448,018,916,763,093,107,753,346,798,239,681,
447,363,407,270,072,991,193,299,984,770,480,534,310,232,762,017,020,907,927,
455,784,254,612,221,077,023,593,853,745,196,451,551,492,978,304,500,856,149,
230,380,065,719,976,160,023,078,006,381,897,542,442,306,185,946,345,045,288,
831,926,565,470,927,054,377,837,465,684,559,967,104,379,810,427,142,341,677,
369,853,857,151,993,859,017,821,567,321,858,223,293,763,780,761,711,768,807,
552,616,942,664,558,132,002,255,555,489,465,096,951,740,468,961,527,516,476,
345,534,453,248,899,014,926,570,188,352,911,497,602,731,113,825,517,122,696,
367,533,458,103,213,142,143,380,253,789,522,607,445,301,279,224,242,665,886,
273,819,152,797,425,462,662,186,616,557,063,652,737,305,888,929,728,659,671,
725,592,385,904,328,877,212,196,333,569,126,135,862,148,941,664,932,047,603,
975,395,185,382,079,633,424,120,136,103,311,626,760,607,049,267,995,548,774,
232,576,146,305,895,887,084,157,223,075,836,752,874,014,142,941,471,890,174,
989,223,531,873,469,123,143,145,982,396,823,048,009,415,311,036,919,875,032,
385,099,760,977,661,347,816,078,566,881,278,250,783,002,890,860,238,382,057,
856,620,537,181,716,322,147,114,572,088,832,912,347,562,840,163,016,464,904,
787,804,081,972,341,869,016,702,313,182,441,762,217,265,897,644,327,050,934,
393,243,544,250,656,061,327,672,067,043,389,369,834,676,530,858,963,085,571,
553,332,388,207,931,477,732,907,866,653,738,668,491,009,677,282,302,033,347,
412,750,483,731,979,303,633,242,534,037,128,345,390,156,385,465,086,240,595,
543,179,517,450,094,107,152,800,828,925,922,499,415,555,086,017,072,913,672,
599,886,937,421,488,277,255,041,228,451,262,593,102,024,353,303,781,515,016,
870,110,806,185,243,404,859,004,676,667,778,567,466,781,029,319,493,918,295,
318,448,665,513,097,879,446,239,726,271,424,369,898,220,666,131,652,586,221,
011,470,211,344,348,990,045,609,993,147,585,070,329,658,452,439,760,583,160,
336,774,612,248,250,549,538,105,608,151,486,878,078,072,600,682,538,678,636,
115,312,602,010,940,369,993,893,066,837,876,071,116,050,020,493,604,936,455,
208,206,896,494,012,898,987,651,311,553,500,850,442,525,095,758,907,181,017,
484,649,693,129,263,587,765,588,190,686,912,116,895,542,492,743,404,479,718,
782,175,355,875,539,032,990,362,451,702,204,527,155,017,964,486,964,456,886,
911,944,102,616,985,328,440,667,833,506,861,101,107,350,723,276,113,343,026,
258,770,602,213,975,090,232,731,392,119,091,182,431,414,321,444,526,864,430,
464,158,692,777,921,669,801,151,085,726,262,977,150,354,315,881,599,098,413,
650,967,265,280,429,518,103,790,131,486,381,835,653,073,431,089,751,531,361,
058,683,040,813,854,668,216,821,225,618,855,636,504,256,919,071,635,282,337,
840,448,623,692,863,976,490,143,126,000,455,458,638,681,097,985,626,985,815,
032,659,866,384,858,838,999,391,538,264,270,377,175,812,356,268,301,226,479,
013,011,000,981,932,773,214,776,553,632,251,714,422,331,222,642,147,472,426,
042,280,880,441,509,686,187,484,103,297,036,051,311,428,992,170,806,724,262,
917,468,124,310,808,433,978,619,823,649,035,606,594,875,764,099,901,087,944,
671,498,083,316,740,411,289,879,967,818,477,167,855,822,717,501,518,341,613,
302,784,157,985,531,638,738,905,383,299,176,737,447,586,225,710,671,739,719,
968,020,511,825,448,568,597,897,203,765,752,142,792,705,344,299,885,374,728,
178,743,907,762,922,759,063,736,862,542,484,442,372,039,117,080,457,380,394,
810,768,782,336,891,929,644,365,306,989,565,825,529,921,136,224,273,682,183,
288,004,699,149,235,112,544,518,911,861,120,350,679,900,707,182,438,047,571,
513,432,483,137,374,711,221,419,671,202,518,178,973,296,816,518,621,343,527,
751,361,423,057,425,220,921,987,746,080,966,976,644,099,161,089,513,289,180,
104,700,251,186,536,818,814,746,512,311,810,659,437,120,616,299,412,895,169,
895,927,244,712,124,274,913,460,434,845,493,817,749,514,510,116,375,213,876,
871,224,663,299,845,236,573,755,403,980,509,369,510,656,619,062,333,037,820,
089,986,115,584,110,874,731,499,122,126,078,881,424,243,643,576,672,951,822,
019,872,489,871,160,443,834,261,785,378,979,868,379,255,225,391,295,809,644,
773,137,412,528,508,772,648,563,237,828,017,348,154,895,408,385,448,948,445,
221,541,477,997,524,102,447,244,321,051,326,983,543,858,308,007,573,585,113,
596,142,233,970,396,228,563,034,652,265,372,263,495,812,208,543,373,860,358,
005,786,395,762,910,868,382,901,261,328,756,544,549,111,560,119,330,855,543,
085,669,521,560,549,220,920,044,277,696,487,292,005,209,847,790,862,426,863,
500,034,189,355,365,813,332,732,326,670,561,063,906,609,589,362,149,931,851,
570,253,778,796,271,833,122,214,354,281,063,571,475,086,622,266,037,614,410,
304,191,141,979,310,489,371,496,407,354,068,089,517,287,449,000,550,056,722,
841,592,570,532,279,546,417,549,370,369,340,520,430,433,717,037,406,374,728,
235,343,621,380,170,285,078,649,834,152,631,886,134,820,829,696,449,577,464,
177,198,275,650,098,198,941,313,653,046,888,733,929,032,897,935,880,662,512,
788,798,063,328,979,718,123,445,358,424,554,848,220,289,979,078,120,685,578,
586,821,108,053,314,373,558,886,976,173,447,925,835,842,123,839,683,093,193,
160,318,551,093,861,471,269,294,262,735,557,316,217,710,765,262,252,935,729,
566,728,360,756,057,866,871,605,534,057,388,560,717,487,956,344,478,360,175,
868,277,342,853,357,537,735,767,813,999,753,098,064,176,224,182,528,193,288,
113,572,242,327,836,950,635,100,600,114,067,720,175,590,977,247,066,711,640,
611,530,295,327,405,384,056,076,392,263,016,923,745,503,337,414,441,368,505,
686,681,146,783,537,645,322,686,396,902,411,300,601,454,989,174,398,522,683,
265,027,552,138,216,483,504,079,460,458,296,906,325,408,344,648,772,429,954,
744,346,986,375,441,286,381,689,523,578,045,060,509,065,209,368,465,904,475,
123,637,494,823,495,682,982,271,321,486,992,842,426,163,391,867,265,082,119,
526,168,339,472,561,627,183,176,222,495,523,740,832,259,888,441,868,805,672,
284,047,771,654,432,610,448,216,097,483,419,474,017,176,899,378,512,036,122,
830,309,739,945,779,529,050,623,519,934,679,885,064,766,010,790,404,551,460,
397,103,695,794,779,715,184,477,764,976,651,183,130,433,210,796,817,878,905,
994,015,375,682,927,078,178,183,354,309,560,702,117,339,848,420,223,495,935,
566,771,617,104,776,934,675,137,078,058,710,134,100,823,915,598,619,676,507,
767,334,732,819,967,356,397,591,162,150,080,265,932,957,577,220,640,882,706,
000,430,473,009,593,947,177,710,302,901,220,757,659,713,247,059,441,630,342,
391,593,397,932,383,434,770,031,499,940,515,599,046,745,590,527,820,269,919,
108,808,627,226,925,169,241,548,302,722,694,141,621,483,531,518,759,851,523,
178,698,896,353,338,152,180,614,627,942,722,673,458,946,314,520,460,429,626,
471,576,616,333,050,570,951,568,801,055,818,211,859,526,951,203,584,792,001,
109,124,757,544,925,174,128,752,311,526,915,745,394,530,290,703,013,834,715,
392,185,301,960,496,372,555,419,230,618,496,309,176,448,996,423,185,799,723,
737,745,237,780,514,524,456,092,601,237,562,818,149,908,190,647,818,931,354,
053,141,388,502,938,417,696,843,817,559,719,001,362,594,571,791,572,043,076,
744,878,717,614,296,418,000,480,038,559,384,578,562,496,566,428,942,559,003,
360,592,613,072,478,582,109,589,876,486,679,621,205,851,863,429,990,956,024,
312,491,746,983,183,177,118,871,396,622,341,343,306,255,485,801,438,559,293,
695,549,715,663,555,424,751,506,156,388,043,137,810,352,228,988,344,344,749,
498,496,147,340,126,048,037,479,407,921,280,667,201,235,092,819,786,574,153,
342,151,918,032,813,955,606,273,109,969,480,673,171,552,748,655,443,089,834,
681,603,281,667,485,783,221,909,185,070,961,703,419,205,263,853,383,791,504,
068,963,232,734,483,120,916,592,372,006,805,894,941,229,927,028,912,407,771,
188,542,029,287,015,868,255,744,593,396,898,222,131,177,329,618,011,686,842,
974,988,200,470,841,611,454,998,734,413,957,562,805,943,217,552,838,428,055,
383,380,316,885,519,680,489,509,671,557,006,587,932,472,641,398,905,308,771,
171,258,581,883,422,596,645,527,452,224,819,371,514,787,009,223,967,163,449,
878,083,892,197,905,072,725,030,601,616,320,851,660,864,484,206,075,866,965,
469,466,597,008,006,497,267,733,859,131,784,317,474,248,187,021,167,842,532,
287,968,330,563,806,692,767,591,043,577,592,376,824,688,359,017,736,351,466,
224,394,008,535,562,486,692,253,119,363,581,622,126,107,459,127,450,138,310,
089,363,581,145,233,872,272,453,535,476,723,536,299,325,446,017,964,627,093,
771,378,272,739,865,382,551,869,469,718,544,356,421,458,128,469,783,340,294,
364,752,502,242,893,833,487,921,944,412,413,814,173,377,144,858,165,404,485,
018,111,718,456,294,685,043,486,399,707,438,552,642,913,273,147,704,708,657,
286,506,287,725,173,353,806,499,167,865,869,142,877,236,886,163,654,335,074,
763,351,154,054,770,219,782,313,433,585,526,512,807,728,467,020,049,540,231,
589,510,915,377,633,941,520,553,643,602,001,466,684,423,191,395,618,498,501,
444,940,250,739,063,151,022,417,555,284,924,533,046,706,496,267,500,769,948,
975,435,115,738,297,971,107,493,147,273,441,249,125,505,790,523,716,801,341,
734,310,210,220,782,365,994,391,306,723,731,871,179,980,181,146,640,190,263,
384,293,787,575,721,250,447,897,202,983,003,255,002,003,991,463,906,084,587,
459,718,782,636,096,457,927,502,885,477,388,212,778,268,436,487,986,933,449,
811,808,018,863,448,617,850,930,801,155,349,361,328,413,491,262,997,453,917,
034,724,363,497,570,794,060,030,627,583,008,435,817,084,707,055,936,365,164,
342,918,689,202,360,547,924,805,615,247,431,501,443,461,063,266,818,237,272,
943,551,045,685,703,469,821,518,190,897,813,761,298,040,957,901,897,887,170,
086,581,893,802,874,960,253,489,899,143,313,725,175,870,408,120,248,870,033,
887,243,869,870,544,367,253,322,433,377,511,316,375,556,312,970,774,584,965,
721,350,518,379,881,796,032,209,587,005,624,300,919,396,540,636,153,325,424,
393,403,770,179,399,316,885,319,997,128,572,429,014,343,990,294,198,952,872,
109,504,496,735,590,840,063,585,031,190,181,027,058,421,525,531,021,923,968,
617,744,081,962,682,406,424,718,561,664,299,955,232,451,210,804,155,310,308,
766,362,718,424,495,133,317,833,614,099,580,241,722,077,009,778,957,043,650,
203,034,708,962,603,375,027,459,812,327,894,777,232,140,414,293,982,805,501,
449,588,818,897,804,060,113,291,461,319,110,911,588,512,714,570,130,731,108,
571,120,218,905,177,681,024,437,380,223,442,756,540,413,001,748,679,248,959,
765,779,272,923,181,696,450,751,357,378,127,643,224,752,023,693,449,275,665,
555,221,682,712,676,709,412,086,926,756,187,432,146,106,759,383,455,386,162,
901,732,747,375,434,296,484,294,183,895,810,950,037,537,455,369,404,968,782,
769,301,814,995,511,891,841,637,950,571,314,384,291,092,643,852,907,830,335,
284,171,599,405,124,624,364,636,803,120,518,199,031,689,683,783,721,642,878,
947,807,157,636,482,150,136,000,651,766,840,497,123,864,250,296,569,226,683,
113,228,524,971,178,847,485,735,810,497,477,520,367,543,975,729,503,880,332,
249,981,796,961,493,043,009,879,640,891,472,165,813,958,784,585,284,857,919,
656,369,428,231,983,828,962,392,758,847,224,956,222,715,726,551,619,045,659,
313,565,991,973,516,985,648,440,327,122,558,557,691,614,404,109,292,168,616,
531,063,417,093,319,440,255,016,190,272,491,318,499,573,121,277,695,964,022,
909,896,119,149,370,601,683,237,395,076,833,089,106,486,949,607,906,673,618,
125,611,561,530,966,305,262,840,223,825,466,304,060,761,058,210,126,268,009,
860,018,053,416,211,900,162,592,499,942,683,510,489,013,848,098,367,092,573,
922,428,938,497,913,621,036,550,190,862,851,839,862,386,940,608,226,977,036,
174,620,949,599,903,453,652,111,557,785,027,049,640,440,756,069,861,371,893,
520,258,883,035,785,029,048,468,243,637,953,511,366,280,589,607,566,007,362,
500,922,554,492,449,164,915,415,077,193,959,306,099,059,902,189,186,975,753,
107,886,733,030,244,282,134,822,963,492,598,067,789,725,887,869,628,753,132,
044,604,059,853,941,311,094,368,879,031,614,216,113,667,777,489,954,461,459,
806,468,693,670,401,143,758,410,450,916,750,777,791,220,043,077,420,204,216,
316,316,212,817,519,858,215,402,722,923,331,377,605,687,909,086,028,447,771,
793,088,224,908,960,955,939,723,166,924,379,440,213,635,588,788,658,101,201,
926,696,472,097,043,334,044,900,479,813,400,741,626,079,572,197,860,764,447,
314,862,351,060,837,035,689,050,994,712,021,834,688,829,202,886,514,508,528,
539,914,276,545,953,376,109,582,727,973,819,279,189,115,224,488,501,581,757,
729,640,771,773,951,062,004,254,160,740,331,116,037,914,445,249,839,984,262,
751,868,917,414,084,790,583,739,031,357,323,404,059,566,747,107,216,459,061,
203,087,461,287,529,883,681,283,431,084,042,480,963,569,519,196,406,857,742,
029,089,069,308,589,322,694,107,208,674,461,853,339,810,000,349,887,944,185,
346,274,830,138,076,584,018,552,000,997,643,453,591,304,355,215,422,548,826,
594,513,455,333,767,551,993,509,171,019,577,262,313,095,781,778,451,007,084,
132,214,467,240,654,958,918,111,629,489,367,939,998,345,505,662,164,090,835,
797,176,279,584,030,645,638,910,756,002,420,033,682,989,281,058,284,893,324,
015,812,990,258,067,452,770,057,082,421,677,125,959,255,902,245,231,457,140,
923,312,952,722,950,973,607,423,259,491,350,970,955,800,661,307,887,756,512,
518,117,906,672,690,928,263,255,041,805,597,377,681,019,088,010,576,403,207,
764,990,473,427,635,043,046,228,963,776,251,776,354,869,480,589,136,861,815,
943,016,944,544,921,973,683,804,431,407,877,571,533,079,612,747,788,550,467,
568,231,564,001,599,579,717,256,111,447,277,063,167,823,119,425,563,504,990,
845,742,276,953,614,994,103,266,096,993,704,519,846,024,189,187,123,337,441,
355,306,894,285,139,082,717,951,181,206,148,303,315,602,540,682,567,692,968,
962,495,774,551,304,394,084,889,280,223,744,771,769,769,229,299,236,710,992,
003,767,615,230,366,436,024,727,656,663,874,138,649,227,670,175,380,788,127,
704,241,385,968,427,943,470,175,452,863,471,986,879,153,469,027,208,162,412,
046,228,689,413,322,406,194,148,525,813,797,784,278,856,787,376,632,049,607,
133,736,816,091,465,941,077,081,160,784,092,416,346,146,443,689,322,062,779,
023,514,135,489,480,032,409,259,681,024,316,845,110,490,035,114,886,117,454,
973,512,472,718,059,975,193,590,435,608,405,464,690,753,342,257,208,281,192,
382,592,099,485,970,859,001,118,768,810,581,932,026,562,387,580,652,402,705,
866,739,529,010,018,480,270,119,803,369,152,218,154,956,762,116,994,811,893,
688,752,310,958,805,221,738,837,022,280,438,976,899,776,159,161,802,458,532,
350,270,781,189,069,947,825,115,096,306,577,756,737,756,298,174,016,245,152,
165,762,475,920,181,030,364,371,586,610,596,402,141,693,429,561,745,969,705,
835,473,601,399,384,161,269,820,749,145,290,452,156,523,376,715,858,856,888,
610,668,496,771,073,048,679,088,959,079,760,176,245,400,853,629,531,330,787,
417,244,390,525,253,250,502,402,057,804,872,042,064,101,161,002,367,782,968,
084,276,637,139,398,860,817,564,739,169,726,788,877,084,643,741,083,300,653,
086,903,219,860,641,351,083,010,603,440,292,330,996,237,589,263,805,270,676,
954,661,567,880,267,053,413,203,632,680,869,013,856,442,256,495,613,568,483,
816,723,134,633,632,687,763,272,956,651,841,779,674,300,575,532,041,091,462,
394,289,891,509,465,249,994,062,099,429,950,175,812,329,812,570,275,136,158,
489,599,987,768,724,269,069,017,929,171,803,217,829,507,724,924,360,541,343,
697,062,605,757,454,354,546,338,178,660,359,066,472,042,498,574,611,708,532,
996,858,243,793,082,397,736,851,418,335,555,933,607,522,229,781,063,843,389,
178,278,983,464,086,011,617,630,669,437,172,941,007,748,898,787,109,501,666,
121,863,856,577,174,303,609,369,384,628,204,972,786,349,215,127,912,342,106,
606,813,350,915,683,613,845,340,989,979,017,609,434,024,857,172,384,480,289,
744,127,695,100,033,061,143,561,978,560,663,179,953,827,435,041,858,977,502,
988,913,917,275,611,024,008,816,296,658,218,923,605,421,832,284,123,037,400,
693,746,885,970,925,303,470,167,563,829,497,770,102,418,611,182,630,604,967,
202,578,892,851,726,271,460,492,935,734,478,473,445,376,959,219,478,420,976,
597,446,033,635,771,554,973,541,047,238,172,601,168,096,744,272,078,937,312,
899,180,003,358,011,049,626,902,170,121,839,782,343,813,777,252,468,569,771,
240,221,855,469,531,042,983,232,039,819,178,294,527,054,279,539,246,782,610,
413,826,650,862,818,021,690,126,479,172,054,591,157,245,195,868,880,256,257,
722,604,370,701,096,904,453,109,640,139,352,190,641,714,873,729,378,793,933,
721,580,254,674,552,836,324,061,554,142,778,175,766,338,118,777,063,325,412,
873,005,566,128,445,228,696,298,471,975,726,111,877,520,441,479,776,925,244,
305,728,014,309,584,005,270,689,408,435,781,993,458,675,238,624,961,857,149,
758,830,059,402,913,600,163,570,185,680,926,492,584,077,605,626,684,713,671,
968,300,227,684,978,348,622,452,864,903,817,509,935,379,026,012,565,017,762,
394,042,210,330,331,810,783,851,141,793,355,037,578,227,248,355,444,695,390,
059,977,468,547,241,301,337,978,462,378,525,822,130,924,445,839,063,269,636,
637,676,024,609,291,773,571,851,634,705,372,269,661,824,903,979,226,788,482,
209,788,538,369,233,208,705,332,201,353,440,179,675,707,032,615,939,952,234,
867,042,774,919,546,635,374,653,745,680,182,825,645,698,750,851,404,897,106,
895,651,842,256,978,981,624,651,307,125,096,083,208,375,452,322,841,687,274,
268,031,643,087,242,375,511,866,284,343,870,728,269,081,231,695,741,792,199,
439,111,595,296,279,510,844,773,249,605,699,827,018,839,356,939,800,314,416,
911,212,879,595,121,014,778,189,882,965,876,435,216,265,128,766,164,375,266,
501,079,953,557,172,507,970,161,151,773,418,976,158,615,303,520,500,984,278,
175,258,799,457,462,041,179,145,912,355,482,157,455,428,168,574,603,311,599,
961,270,096,842,666,012,394,959,006,707,967,238,444,997,771,009,088,311,167,
775,086,632,960,299,128,408,154,140,668,847,583,102,542,491,975,521,884,479,
563,865,460,395,170,616,592,062,085,666,612,961,692,337,551,919,855,034,039,
096,740,464,089,572,462,262,753,666,692,573,472,409,279,704,746,249,575,853,
036,826,920,509,446,205,428,441,935,244,287,349,919,273,459,596,394,156,440,
382,907,895,659,056,425,568,320,963,386,840,525,515,721,910,879,536,121,780,
509,468,979,670,790,534,400,774,237,846,076,931,743,126,342,311,641,490,197,
686,845,490,904,752,981,830,971,177,342,873,190,707,908,649,625,434,778,751,
544,493,275,650,219,166,384,469,714,460,730,231,473,072,709,641,652,058,961,
998,450,840,516,394,077,283,215,670,131,896,072,267,231,440,540,264,749,458,
402,085,632,548,793,638,377,956,632,829,818,036,211,661,009,877,472,659,019,
885,923,911,646,774,375,081,212,618,534,550,336,532,922,436,766,777,207,039,
424,568,542,480,535,788,599,199,751,626,576,751,889,506,159,057,697,521,428,
247,423,442,428,246,266,215,368,836,342,164,064,058,705,714,306,995,712,658,
639,754,374,622,590,051,636,187,953,306,801,915,438,187,987,367,266,377,456,
691,339,196,121,710,512,198,246,768,663,491,940,366,452,831,202,840,989,117,
343,905,467,796,194,965,920,176,448,618,041,671,028,286,980,977,629,520,585,
031,780,430,119,120,023,632,088,509,728,080,029,183,050,089,041,372,241,226,
941,475,960,014,224,149,998,220,557,069,185,290,485,310,256,603,894,526,957,
220,207,106,461,656,487,939,841,588,521,872,471,388,591,952,262,928,091,979,
002,115,015,747,023,277,423,935,315,561,309,516,152,299,744,218,359,638,195,
041,068,909,881,863,536,924,883,265,658,932,199,375,365,145,333,024,516,011,
711,021,441,150,755,479,259,622,773,034,374,192,272,554,227,383,331,592,156,
767,587,753,610,177,823,952,501,259,584,184,331,492,798,173,998,325,441,451,
617,075,255,433,092,867,977,945,898,359,272,636,345,591,598,079,278,043,570,
196,895,274,282,012,395,540,492,010,932,887,892,851,987,334,329,181,288,489,
607,967,645,483,577,957,957,239,376,221,862,026,132,867,643,727,427,842,413,
536,287,765,024,388,652,623,856,341,089,978,758,640,883,592,079,190,105,175,
895,608,764,052,148,212,449,456,551,880,290,295,259,832,449,265,535,267,267,
285,905,361,568,218,085,049,118,678,640,302,863,904,571,075,287,057,619,219,
623,843,959,561,573,167,656,951,975,386,724,915,633,368,064,039,534,304,559,
409,363,017,423,739,093,884,078,080,420,730,459,104,344,793,243,921,086,165,
382,638,716,822,266,544,657,743,741,870,870,960,448,913,835,363,832,786,160,
490,330,420,470,885,729,386,450,998,033,497,116,771,550,639,551,461,972,988,
040,169,161,056,666,851,936,558,012,347,949,671,941,061,645,727,980,908,955,
292,579,162,400,773,408,927,607,300,751,666,583,118,040,383,795,360,361,951,
032,683,174,011,487,002,095,934,646,039,774,415,318,497,814,751,060,775,930,
395,984,075,393,992,051,730,615,858,700,830,776,801,032,718,391,025,416,396,
140,859,614,549,853,451,420,576,848,734,764,579,543,750,659,448,878,473,750,
646,474,155,900,438,440,991,652,470,233,605,833,553,641,652,757,436,949,642,
915,598,897,446,898,980,825,569,675,022,618,902,179,838,071,901,704,561,319,
707,847,439,139,866,884,006,377,553,396,953,217,759,060,775,781,952,508,652,
101,006,638,241,700,218,089,711,874,189,765,207,194,015,654,356,595,032,281,
368,341,779,743,758,584,161,994,840,652,278,513,791,027,027,992,183,822,042,
116,622,464,961,258,846,832,780,431,505,316,310,731,557,844,296,149,516,323,
808,041,450,558,172,499,150,209,215,821,367,954,136,708,491,347,722,982,355,
711,653,232,743,670,109,263,769,883,466,463,642,701,796,657,234,105,155,008,
918,122,665,727,646,159,361,837,118,212,620,195,610,121,557,589,885,360,279,
415,247,228,217,908,255,850,357,298,644,706,985,605,809,847,501,482,553,328,
419,714,601,923,965,745,633,742,648,083,536,371,971,039,426,403,698,111,488,
026,609,051,876,102,988,079,775,857,745,802,772,020,489,313,713,655,438,020,
045,348,026,729,625,361,060,152,555,583,453,097,577,642,178,947,604,618,402,
347,870,942,808,299,133,026,887,869,964,088,516,662,927,850,981,373,599,109,
997,966,623,528,504,942,290,537,205,464,232,001,207,794,658,250,592,329,581,
394,051,817,731,688,005,815,984,182,172,936,209,496,855,136,000,325,022,548,
263,606,019,544,231,807,045,574,322,558,154,862,403,793,568,748,837,969,681,
202,143,316,113,470,131,417,118,488,303,801,829,034,338,213,614,895,847,640,
636,422,456,908,637,876,208,297,966,379,671,768,918,191,264,085,463,273,939,
781,772,221,284,601,452,706,695,632,270,527,996,825,029,570,447,276,484,241,
246,949,740,391,394,797,469,711,929,327,592,033,527,341,393,686,704,340,659,
489,836,736,303,032,144,895,507,554,454,737,556,233,119,003,336,594,432,712,
409,013,853,253,463,309,075,905,003,300,313,779,534,420,324,196,968,159,631,
353,302,069,385,658,506,842,318,421,575,786,250,055,113,402,702,788,842,259,
754,821,027,912,681,300,965,365,803,455,909,202,840,126,054,688,619,327,037,
949,544,019,300,923,771,431,689,410,287,878,449,277,213,794,934,395,656,137,
830,113,205,818,904,764,639,764,381,651,127,106,325,857,689,402,643,234,281,
343,389,107,806,065,584,462,871,159,479,086,754,836,747,932,548,532,093,706,
873,838,198,346,281,116,413,413,439,656,412,465,449,650,509,073,092,867,573,
380,439,933,777,747,289,334,275,844,175,234,798,289,916,576,659,584,052,605,
548,121,196,683,164,011,940,764,482,046,294,305,776,836,522,804,639,110,165,
836,310,580,184,784,242,122,494,855,034,774,090,033,707,791,028,258,291,375,
232,639,433,394,126,193,463,172,647,815,261,532,511,349,528,399,923,695,135,
492,773,877,347,155,942,279,561,292,925,113,579,818,564,524,978,677,695,793,
239,658,454,549,286,496,815,096,574,368,362,946,223,278,684,573,256,573,282,
469,442,959,027,892,519,322,475,985,984,282,800,450,690,050,775,166,860,175,
776,190,247,205,028,571,341,004,217,197,280,531,281,675,630,062,059,378,066,
289,383,721,438,677,934,151,967,346,505,499,351,824,538,278,415,085,054,993,
211,174,166,435,483,597,682,586,791,429,219,102,757,977,162,348,668,747,010,
075,669,773,773,470,327,670,258,602,408,889,656,498,605,299,293,840,171,557,
187,020,072,750,292,392,454,881,335,270,243,021,511,628,711,933,023,182,370,
161,637,691,840,738,717,959,780,819,553,757,824,642,582,293,551,191,182,497,
343,816,798,195,188,746,070,077,637,397,597,218,060,803,313,926,322,464,476,
392,068,363,197,159,772,976,240,434,218,331,293,431,741,973,818,102,611,548,
725,858,586,369,950,959,872,072,361,035,161,106,497,619,219,246,281,320,698,
440,953,598,520,305,847,700,169,741,688,728,987,727,966,252,874,271,642,117,
226,758,832,083,508,986,040,490,501,543,609,549,835,276,334,559,808,826,759,
410,253,342,932,724,624,570,384,319,119,326,582,097,488,452,169,295,670,554,
489,052,153,435,484,640,863,540,060,013,676,933,225,937,173,782,031,927,735,
624,256,746,360,231,794,129,845,500,570,470,297,531,944,874,943,684,742,587,
348,030,902,537,434,112,780,807,009,447,630,787,553,272,465,142,382,090,829,
961,010,039,651,178,324,176,434,150,386,201,784,869,198,880,001,148,054,865,
965,768,178,523,345,435,098,478,566,426,489,630,878,242,648,305,135,037,575,
736,725,133,812,093,923,565,762,769,354,688,342,644,028,515,196,480,867,431,
204,186,059,665,602,835,404,733,241,641,891,550,312,032,351,997,160,167,765,
641,990,845,367,926,949,100,218,752,890,308,965,121,395,077,274,305,047,707,
569,364,249,776,752,563,096,379,496,619,274,175,633,915,324,348,877,501,032,
781,668,941,127,267,962,809,171,917,329,598,930,817,858,075,347,230,922,774,
897,972,354,227,716,987,301,994,017,091,689,535,697,403,758,378,234,080,426,
261,181,202,254,572,213,011,629,324,664,197,043,503,455,331,066,211,075,207,
980,025,519,491,572,169,364,846,795,169,146,891,240,163,002,425,333,349,513,
987,076,976,790,152,884,840,025,687,213,091,054,237,095,591,923,582,631,605,
068,305,699,041,106,137,589,542,973,920,069,697,428,141,122,430,545,877,288,
854,967,238,633,382,651,390,094,034,242,741,838,377,408,974,316,730,742,946,
887,738,137,045,687,998,076,739,377,721,430,428,260,354,865,981,838,230,699,
682,213,234,728,011,473,065,665,997,314,528,727,779,728,068,412,073,259,982,
593,530,413,942,923,482,327,154,251,822,845,061,566,104,489,222,164,130,836,
528,551,526,478,535,265,359,687,512,634,413,999,059,648,202,715,112,429,459,
964,971,755,752,926,433,710,429,922,356,948,859,510,101,594,243,654,135,023,
489,311,201,165,281,856,141,163,509,481,987,973,506,291,150,189,830,940,620,
073,756,546,534,742,259,717,529,789,968,729,135,113,634,001,980,695,890,911,
989,736,978,015,788,893,843,286,458,996,807,678,159,699,495,693,770,648,640,
935,414,634,976,125,728,127,201,240,277,342,786,712,694,125,484,657,088,965,
958,167,838,336,164,601,930,588,126,324,789,127,045,423,333,947,209,170,121,
348,148,584,617,212,906,824,127,367,234,805,935,379,937,656,394,816,932,592,
815,469,302,826,181,710,740,038,023,521,967,029,168,647,390,819,964,468,254,
424,813,938,629,064,000,183,363,803,635,854,699,094,695,328,489,505,565,217,
750,883,885,056,138,655,234,387,170,783,411,506,233,943,832,761,088,462,753,
127,448,821,021,451,272,758,455,392,965,949,592,729,910,901,774,436,380,687,
438,759,703,636,514,497,428,573,781,031,495,425,250,105,183,939,003,097,806,
425,363,266,748,348,664,607,814,309,595,790,913,588,191,436,607,481,427,478,
919,915,470,094,227,874,493,172,679,260,921,875,468,633,772,189,310,484,001,
675,522,962,129,042,018,498,364,114,214,115,525,344,661,902,207,747,678,452,
090,129,480,688,738,950,128,451,816,409,570,756,806,033,165,002,365,046,380,
968,127,121,545,310,060,711,559,804,081,158,447,261,409,989,019,300,679,548,
158,168,182,246,613,234,865,844,011,588,776,887,004,217,070,286,004,489,574,
968,888,925,187,441,210,542,051,791,147,031,777,447,610,337,902,927,732,726,
222,393,045,778,970,695,774,110,296,967,507,389,439,321,535,850,268,330,647,
601,059,869,787,434,066,739,676,540,299,033,157,168,162,367,327,479,883,992,
433,226,673,851,929,503,591,264,595,990,524,479,910,745,764,137,190,193,783,
140,425,077,366,417,019,550,054,502,156,313,171,333,038,353,370,155,159,545,
610,996,781,803,764,106,028,994,131,403,959,680,475,257,639,870,653,483,674,
832,223,506,948,832,597,800,923,341,075,520,972,539,621,697,123,019,524,749,
982,937,449,982,728,467,601,749,799,269,827,750,364,611,659,986,885,186,596,
035,559,360,081,481,026,160,742,768,228,512,061,817,400,004,140,129,652,293,
136,806,766,622,951,867,036,788,961,095,994,696,557,039,144,790,845,933,914,
775,511,299,933,966,254,533,067,110,771,330,586,074,422,728,493,700,262,963,
392,972,053,186,977,242,190,427,955,369,195,910,945,596,046,398,684,117,487,
420,131,693,697,724,165,597,480,316,117,418,799,620,794,041,678,641,328,828,
344,425,011,088,397,770,141,529,205,356,606,819,427,198,146,813,149,117,575,
936,902,943,362,935,896,717,240,865,012,023,405,471,789,334,318,262,071,385,
615,606,948,853,696,042,531,599,643,933,632,487,816,563,854,166,429,142,907,
186,735,871,701,720,516,663,616,362,386,093,606,691,012,510,099,909,985,161,
181,247,434,117,407,715,610,799,935,615,536,618,884,656,293,071,354,759,020,
287,582,459,816,683,722,114,810,988,496,304,324,752,087,736,791,610,383,570,
300,934,804,661,509,854,546,881,212,391,662,018,727,598,510,556,338,636,509,
917,660,521,326,685,860,683,540,988,961,536,652,368,483,951,080,783,688,235,
882,722,197,406,670,763,706,896,126,554,442,658,228,289,664,720,228,995,243,
298,809,412,391,717,232,587,690,965,882,814,395,923,910,691,835,955,098,117,
375,680,145,220,608,042,639,429,415,458,145,026,192,352,429,936,039,835,134,
465,814,258,160,304,454,344,948,400,195,917,572,930,348,784,453,146,049,836,
048,781,552,425,583,019,585,911,906,788,583,610,421,868,209,182,353,644,901,
575,646,422,619,069,449,683,515,933,113,144,555,223,105,876,696,633,007,129,
229,827,350,613,634,171,764,281,413,877,084,595,338,429,938,868,854,730,461,
254,919,625,777,937,498,526,159,704,005,390,516,098,044,459,344,462,423,250,
596,944,142,799,327,832,179,990,522,436,539,072,386,868,598,285,339,640,115,
500,150,968,110,462,076,244,250,599,916,563,998,967,511,674,764,562,565,234,
632,601,660,045,755,489,306,805,273,849,804,621,486,964,540,531,407,530,867,
744,582,885,765,180,201,244,850,418,517,944,019,189,872,135,501,603,905,279,
239,815,125,749,613,345,253,498,966,778,214,861,711,533,662,872,343,043,228,
407,424,551,909,893,457,132,253,841,130,840,728,539,900,608,546,426,969,065,
953,093,196,366,195,046,238,728,673,519,510,226,590,108,962,089,545,147,601,
558,517,719,567,289,223,441,237,670,993,482,947,795,750,479,254,511,385,812,
125,716,545,025,898,917,976,646,372,230,372,761,720,574,710,620,895,936,176,
591,831,914,715,693,128,507,066,520,386,295,368,668,497,399,975,044,497,782,
420,302,877,685,414,113,398,774,889,707,796,273,273,608,029,886,538,488,781,
695,527,509,901,312,912,983,546,161,507,890,640,331,454,188,475,984,750,167,
029,390,421,579,391,576,395,641,669,641,849,542,380,765,240,995,052,550,580,
327,755,343,083,887,632,280,665,293,584,075,627,806,083,044,332,873,025,268,
180,990,050,078,313,681,377,332,726,994,316,781,504,118,782,375,620,886,180,
911,927,247,499,650,008,195,450,710,880,829,357,778,215,055,140,114,454,326,
651,692,096,491,555,582,076,502,282,148,629,734,158,536,754,996,809,092,364,
849,103,908,191,892,863,749,152,066,431,617,288,316,400,330,035,807,357,059,
134,597,788,754,381,319,405,048,775,811,163,941,921,239,648,245,846,143,169,
651,859,945,523,984,435,021,113,032,548,762,772,276,193,448,653,740,429,518,
319,918,090,253,993,889,977,968,802,002,687,788,517,010,914,856,685,035,991,
410,571,306,679,741,330,725,911,245,251,517,449,422,142,929,591,446,269,783,
796,008,296,130,527,286,025,161,786,204,071,395,820,475,989,824,452,941,247,
092,989,098,273,167,048,826,275,093,623,153,391,652,360,227,827,191,809,697,
933,928,441,613,315,163,687,524,736,476,591,863,282,083,717,798,165,749,293,
584,269,909,446,011,039,270,774,198,356,398,673,322,346,090,310,178,256,743,
990,181,164,192,361,663,864,065,177,511,787,856,018,124,125,174,238,591,371,
063,993,426,909,117,095,499,857,142,139,732,270,820,152,079,954,101,921,942,
733,551,797,628,789,544,164,070,574,986,111,191,576,356,339,604,524,457,318,
489,402,621,741,437,334,959,973,884,489,325,461,963,700,569,063,084,100,799,
510,295,723,878,416,039,580,921,561,522,349,858,446,651,582,143,887,041,848,
216,457,704,806,007,062,179,160,043,632,165,938,802,975,259,905,475,101,933,
633,855,615,660,091,823,041,871,565,792,299,384,939,768,681,250,856,190,792,
751,498,428,887,943,743,789,448,234,695,855,736,836,974,896,152,223,547,336,
555,211,096,913,477,228,539,777,154,711,631,864,334,743,782,728,738,627,912,
733,920,243,585,790,141,645,511,657,495,319,119,510,570,701,376,909,255,655,
240,078,385,333,954,323,125,301,809,280,361,993,380,184,483,610,325,691,798,
371,615,298,027,762,131,721,378,938,083,383,595,485,474,949,803,775,150,440,
567,534,059,548,042,498,222,664,172,412,891,933,182,186,022,217,595,985,287,
676,389,176,144,522,540,750,904,075,733,182,575,608,496,732,243,486,744,185,
426,205,835,105,656,205,010,263,652,709,789,198,755,900,924,214,177,783,553,
076,672,225,035,416,445,502,277,123,734,575,834,048,422,619,485,281,255,820,
886,990,936,613,599,965,942,225,236,562,231,806,811,852,857,803,955,260,165,
066,828,471,212,097,163,521,332,267,577,695,659,375,338,904,070,530,011,950,
170,169,688,112,323,291,368,618,789,514,756,889,719,332,319,348,224,126,506,
353,763,336,757,155,565,928,345,288,453,451,129,754,350,381,142,287,601,307,
202,345,645,159,147,394,961,378,461,653,574,954,866,014,721,853,273,257,413,
996,154,428,287,109,639,955,071,906,718,451,725,049,697,370,117,239,798,201,
080,881,076,257,335,278,988,930,138,745,812,691,666,588,321,742,275,495,339,
955,170,543,682,248,377,865,036,259,885,232,333,294,800,489,189,942,922,301,
308,448,678,321,744,788,036,200,752,550,847,637,205,262,840,211,504,512,885,
309,294,955,459,713,804,520,119,935,290,221,396,696,598,616,771,812,867,086,
526,708,052,926,939,287,115,074,205,989,805,241,476,909,967,981,214,362,721,
878,506,741,951,506,032,128,243,664,820,301,575,975,241,657,296,307,291,064,
222,879,634,794,946,654,928,657,428,719,400,443,909,814,559,396,811,575,948,
883,714,160,450,417,887,857,522,331,362,139,272,059,827,704,420,245,795,424,
026,137,501,373,092,466,250,458,270,122,594,730,373,566,685,011,574,746,095,
686,050,933,680,293,053,914,557,952,270,678,353,625,094,924,593,710,574,337,
426,756,921,512,250,686,002,392,225,889,110,947,675,263,451,387,665,347,637,
159,591,682,284,630,376,000,817,236,134,250,551,882,760,138,710,112,194,447,
214,758,701,304,170,662,251,222,056,024,368,071,294,237,142,574,556,947,921,
291,552,874,731,562,275,683,417,037,898,320,012,925,371,182,019,033,503,743,
647,591,154,222,328,508,195,981,124,411,838,950,506,708,116,468,406,522,366,
645,383,678,591,250,218,587,637,043,884,844,779,405,251,161,909,266,418,462,
056,382,070,990,269,864,359,431,234,331,771,388,648,064,010,712,418,167,890,
717,589,897,218,652,412,503,577,348,609,803,161,475,556,820,214,615,832,476,
102,526,876,058,246,865,620,041,252,827,581,238,969,316,588,492,582,501,985,
106,386,071,910,902,520,463,121,359,382,632,644,158,180,473,996,556,421,683,
687,892,874,067,172,961,560,688,941,505,576,216,340,193,270,539,324,737,460,
943,681,052,992,809,490,862,870,386,788,451,406,943,261,821,313,562,513,825,
526,548,409,039,407,396,895,158,276,846,911,498,552,485,499,611,353,305,564,
305,327,752,147,252,932,489,821,567,938,740,435,302,545,919,725,957,190,483,
916,170,793,300,292,014,419,146,560,142,722,913,583,778,255,773,635,820,140,
839,378,632,552,201,553,268,654,003,778,488,843,325,511,884,305,915,222,824,
551,290,437,862,677,862,937,882,097,622,258,812,026,090,434,870,782,831,789,
919,964,592,804,191,965,836,685,577,492,991,025,714,328,155,659,104,796,625,
507,178,571,851,342,919,633,070,960,679,542,196,600,496,886,672,131,148,241,
887,697,775,062,792,418,528,742,188,697,938,383,542,677,642,467,516,571,852,
737,393,707,320,585,006,347,679,191,169,976,505,549,226,591,438,540,138,267,
270,583,192,240,359,138,342,341,108,532,390,459,777,862,927,662,247,141,846,
965,039,394,034,124,604,003,117,069,978,983,154,876,895,114,674,586,789,411,
937,028,215,955,602,907,305,946,844,445,171,339,712,477,368,545,236,233,973,
470,558,041,950,410,399,246,241,806,112,505,340,595,042,354,417,800,323,093,
533,846,549,988,364,701,974,269,886,816,046,540,098,301,419,903,116,454,769,
332,859,434,994,335,938,161,152,118,151,783,189,054,084,900,835,087,320,239,
811,207,453,956,632,997,139,675,559,852,198,860,614,913,283,103,512,125,863,
930,876,496,318,901,907,330,003,953,892,391,436,265,796,714,495,295,519,246,
517,685,250,765,791,586,547,327,304,527,220,204,420,859,983,761,532,598,320,
471,407,940,263,146,454,910,802,116,234,812,472,138,108,991,717,489,959,558,
480,024,847,326,862,291,162,754,106,390,061,962,689,793,936,876,903,211,506,
838,550,160,540,240,750,260,229,782,511,859,163,209,925,562,776,974,067,430,
446,753,072,805,048,577,020,648,662,326,259,625,798,245,975,681,358,866,091,
943,229,376,562,961,572,947,557,894,683,418,153,329,994,435,097,014,581,204,
277,461,357,321,434,112,896,748,969,234,970,942,997,102,027,316,017,090,146,
217,389,212,487,280,737,466,977,229,815,300,650,740,699,680,034,806,659,519,
978,314,286,494,419,908,621,226,940,742,132,562,169,393,273,168,570,692,892,
976,665,056,530,868,813,524,096,264,027,165,632,809,094,476,866,743,670,623,
724,397,085,612,407,869,699,609,429,588,671,712,219,176,785,084,682,117,593,
682,148,881,818,206,638,202,772,573,753,124,531,814,169,757,443,235,803,330,
528,326,558,148,226,035,059,585,523,334,328,204,989,450,601,701,416,551,928,
397,743,440,844,480,458,874,066,174,753,022,652,005,171,637,092,995,259,131,
220,726,454,682,103,866,226,625,894,583,316,492,169,227,969,103,675,083,073,
834,704,617,291,096,659,914,711,089,950,293,156,239,309,226,224,927,990,970,
479,528,053,355,412,916,480,549,047,611,408,804,522,359,698,143,974,631,758,
127,378,084,823,054,385,614,607,794,822,854,417,817,303,948,969,253,433,607,
138,251,701,441,781,921,672,239,645,459,945,280,537,198,514,462,599,666,872,
954,079,394,618,079,156,107,981,469,595,869,052,548,644,455,230,859,368,750,
448,131,909,323,283,978,934,926,666,523,788,828,277,273,389,338,799,701,223,
049,782,548,082,785,142,350,191,151,493,014,036,709,039,362,811,377,427,179,
621,547,760,481,689,400,062,946,391,633,630,423,823,281,354,694,953,445,205,
909,326,356,852,548,919,455,679,416,315,139,507,329,430,619,773,548,001,740,
461,277,438,356,105,689,113,306,759,844,382,479,089,055,945,951,368,762,482,
692,334,155,164,569,539,853,315,800,204,810,103,935,748,310,940,352,669,475,
216,472,759,300,026,766,310,375,288,234,949,976,804,590,053,119,152,284,008,
219,599,930,863,864,125,491,810,997,453,891,646,387,763,685,091,065,446,743,
105,049,561,511,661,111,023,181,521,916,607,351,538,540,894,089,034,990,695,
383,095,931,737,384,123,108,057,347,233,594,539,628,605,699,314,867,579,345,
002,410,915,831,269,341,050,327,162,258,908,709,707,667,965,388,219,001,715,
583,228,455,249,530,573,775,176,829,546,464,568,157,139,325,025,538,542,527,
291,097,778,835,324,132,137,813,367,421,806,376,426,272,635,281,167,199,433,
317,515,411,853,045,460,752,252,314,290,999,686,818,190,200,650,344,027,321,
141,993,098,766,213,104,185,597,696,410,415,930,728,283,601,436,681,101,973,
286,685,657,435,331,930,720,566,291,185,132,235,681,194,405,292,407,502,681,
124,575,984,558,818,316,291,988,444,144,838,717,801,180,654,928,901,928,550,
947,397,182,635,130,371,354,429,851,730,295,752,303,765,762,414,576,863,161,
493,787,616,367,998,106,454,186,293,673,659,118,885,537,485,976,042,202,270,
192,693,906,711,876,607,703,119,877,402,710,911,974,156,348,641,552,431,946,
692,468,749,140,385,980,835,659,379,801,539,773,879,235,079,761,093,923,992,
240,934,579,864,866,268,407,914,510,106,590,314,607,644,669,600,506,116,836,
569,621,938,942,973,010,195,941,501,876,992,117,043,848,105,712,412,034,027,
165,196,273,417,688,256,733,592,218,720,544,268,304,503,486,831,357,884,522,
296,823,219,188,662,714,312,279,616,033,975,824,166,861,705,455,863,713,301,
473,355,189,072,381,440,456,213,967,274,682,127,525,872,295,578,268,097,746,
931,104,505,768,952,002,505,124,221,175,075,494,173,535,796,248,236,408,730,
553,249,129,176,029,123,781,107,314,156,580,807,197,317,475,913,031,859,442,
218,013,299,459,890,065,347,493,128,951,986,571,227,257,951,940,946,054,598,
669,069,848,640,883,646,008,662,577,966,383,946,020,419,264,391,948,115,062,
132,978,794,972,618,643,364,657,885,691,643,809,235,131,647,662,528,172,840,
413,989,456,026,789,630,227,551,172,246,260,421,920,871,728,038,837,819,118,
171,510,875,630,070,870,275,705,183,417,831,444,763,948,369,018,263,913,603,
539,975,511,495,427,100,344,192,465,035,556,083,219,464,580,596,046,561,637,
081,205,657,371,678,070,171,733,089,412,202,106,018,675,829,836,392,136,559,
017,790,978,508,953,834,676,978,244,698,643,971,578,068,536,239,478,533,884,
449,459,466,731,972,524,307,654,091,546,662,624,482,018,542,520,412,451,148,
173,734,639,159,433,271,998,323,711,036,300,262,533,792,879,655,274,781,473,
195,916,709,334,234,326,012,013,110,660,081,541,227,640,196,070,115,963,223,
323,541,979,528,521,829,494,775,334,715,319,643,401,550,785,367,783,927,006,
512,792,839,611,509,121,812,642,898,240,794,538,786,428,574,425,090,517,991,
050,935,630,055,912,438,084,223,525,975,817,670,826,770,639,868,010,749,291,
471,625,394,287,250,727,534,022,543,573,289,372,535,773,536,388,649,631,182,
874,912,088,921,424,292,905,382,141,857,021,427,571,844,398,535,593,274,913,
157,467,955,419,181,042,755,018,496,293,116,009,802,629,498,788,709,715,553,
325,619,482,899,245,621,365,555,576,804,916,140,122,846,843,216,937,166,907,
577,313,063,688,526,077,925,986,190,241,258,932,176,241,449,075,877,013,464,
525,250,470,654,771,890,727,233,518,985,826,831,022,862,163,572,456,110,459,
867,589,004,354,676,531,533,943,216,481,748,281,397,440,843,232,352,305,287,
163,672,883,395,910,933,171,247,623,595,632,456,005,534,187,409,944,239,786,
863,961,896,876,993,366,252,109,885,991,247,261,573,789,967,417,061,087,931,
766,815,846,280,786,918,036,980,466,278,270,768,380,555,673,842,651,753,330,
574,515,112,382,410,061,620,371,749,369,421,608,340,690,817,734,894,397,552,
187,529,376,679,195,379,233,616,222,730,876,708,995,048,689,635,885,271,307,
710,397,467,178,424,844,509,347,071,393,104,730,790,534,113,091,802,219,550,
663,178,547,702,188,655,623,284,952,133,451,186,141,051,945,882,633,326,466,
739,649,457,956,620,160,511,654,664,834,057,197,009,298,100,215,674,572,155,
976,311,375,934,808,429,770,975,940,834,165,599,377,089,170,490,079,322,684,
141,473,545,846,819,763,761,426,088,571,907,799,416,853,727,828,936,251,920,
923,461,602,227,415,749,995,606,429,908,587,408,598,473,902,927,937,292,998,
284,715,022,025,870,883,829,671,344,324,031,665,199,937,978,946,777,728,908,
603,967,083,463,644,179,513,852,380,423,403,163,939,030,366,049,668,245,903,
430,592,497,325,054,162,793,346,898,597,382,209,743,572,103,348,163,787,371,
579,378,543,383,543,349,207,027,876,816,043,307,374,080,791,985,179,669,714,
549,489,679,185,972,547,109,859,019,954,424,516,081,168,246,668,803,196,263,
436,708,830,936,694,499,748,082,274,334,441,078,759,001,508,226,439,142,034,
696,364,127,971,334,317,332,426,496,334,646,266,948,584,009,558,013,152,660,
137,556,623,674,221,880,116,169,880,586,550,760,559,323,800,342,082,470,397,
017,975,052,315,633,090,536,554,230,099,402,751,997,296,468,505,308,911,707,
141,663,259,442,727,029,291,020,557,017,093,084,518,801,013,979,571,495,086,
189,239,304,227,954,362,180,485,221,489,887,755,558,302,578,956,160,095,883,
141,071,041,949,339,697,934,115,051,522,696,154,348,958,412,369,228,003,104,
670,787,254,980,939,373,512,084,112,413,252,827,284,589,213,017,538,863,385,
025,460,044,050,392,434,542,388,877,364,937,705,687,664,546,704,886,121,362,
559,376,454,338,581,278,558,489,754,099,477,851,475,685,949,584,649,660,853,
803,375,325,865,774,375,513,769,146,953,701,102,480,496,701,341,129,671,335,
544,852,219,415,952,835,656,779,040,850,543,888,324,897,281,871,986,109,632,
212,713,873,542,084,851,412,406,077,023,844,499,166,543,681,847,795,917,866,
542,292,205,922,362,673,656,773,435,378,873,667,529,129,673,728,053,613,814,
827,222,315,370,837,673,477,834,693,363,660,137,756,180,239,793,314,928,981,
938,791,697,315,486,165,661,230,770,441,726,140,594,016,404,078,374,282,490,
841,718,807,398,331,598,203,987,660,855,637,696,688,624,063,916,442,088,795,
627,760,446,894,122,561,029,875,012,703,400,654,519,835,227,559,272,203,097,
554,820,550,306,110,963,080,516,501,727,059,843,048,260,312,765,612,729,763,
461,676,177,808,081,163,511,236,796,779,739,783,013,557,905,956,208,425,601,
565,181,106,111,335,781,995,240,083,718,852,026,284,842,896,104,404,057,029,
969,461,009,254,550,686,901,390,903,375,822,104,324,854,779,854,120,006,644,
541,705,631,286,501,588,606,238,248,513,140,545,711,881,267,405,382,079,683,
086,818,678,766,376,440,359,700,564,078,896,402,505,201,183,346,927,054,516,
017,011,807,113,663,279,969,077,378,833,971,301,645,059,922,376,947,458,274,
257,529,929,444,226,974,994,119,289,105,997,464,109,124,525,001,054,687,028,
643,494,520,940,026,091,719,038,048,795,338,231,500,746,784,619,841,022,463,
630,956,474,292,705,115,416,095,158,431,144,768,707,042,391,651,299,583,004,
743,296,429,673,233,223,086,428,700,370,064,724,652,476,660,579,258,717,087,
680,882,894,795,184,436,085,588,584,546,353,045,833,280,242,851,822,645,287,
927,854,208,327,492,308,434,065,371,275,865,404,995,308,833,342,899,817,877,
042,929,634,168,122,670,702,953,310,350,585,047,938,385,129,738,824,187,782,
198,663,548,690,751,349,673,689,354,978,142,948,492,930,926,893,616,915,487,
166,732,435,574,343,360,478,563,008,300,133,958,990,849,694,907,936,753,100,
316,174,483,743,368,848,339,462,707,249,456,573,849,701,577,290,686,259,917,
258,545,346,731,215,400,948,148,173,551,936,642,366,425,827,550,908,451,857,
629,010,091,985,978,042,478,888,000,169,315,357,768,549,314,588,079,476,581,
314,896,790,049,796,352,327,614,931,683,324,179,115,783,917,248,403,305,163,
311,204,526,042,905,638,426,437,262,650,624,543,633,230,428,461,861,736,302,
317,852,548,969,886,522,050,847,506,530,674,304,713,799,194,598,507,206,169,
315,073,304,490,247,236,899,979,960,511,208,800,599,253,157,287,443,888,918,
352,090,505,841,862,651,571,780,874,522,880,017,085,894,838,398,449,859,938,
684,917,843,091,914,401,871,797,415,054,598,177,287,947,883,231,593,602,926,
852,120,755,016,366,608,678,060,395,602,065,184,212,399,483,665,342,614,704,
095,892,510,357,205,177,625,981,775,259,967,317,251,074,073,452,629,297,976,
096,850,797,594,325,667,081,818,181,111,663,352,212,935,865,681,052,770,668,
130,383,040,031,738,013,025,740,312,251,569,528,440,190,559,898,034,193,649,
699,345,395,431,400,247,273,120,472,393,541,957,576,885,112,461,521,220,970,
206,172,192,787,212,811,707,899,608,675,541,207,187,978,001,568,057,256,321,
637,974,927,822,887,800,890,225,839,934,341,339,538,615,792,588,895,305,983,
990,140,471,645,933,016,921,471,641,330,556,051,995,893,942,257,563,601,580,
143,125,900,157,823,767,589,570,952,576,422,927,839,815,142,652,287,606,181,
028,911,447,275,556,448,794,926,680,261,729,429,399,858,642,709,322,262,851,
776,872,080,067,755,490,436,717,746,328,215,605,719,164,020,363,745,534,239,
782,229,759,692,423,168,855,239,839,757,945,157,938,225,580,559,116,439,721,
560,077,517,604,294,433,997,110,540,917,319,095,761,176,271,999,018,871,009,
021,153,484,932,042,219,430,483,516,343,723,470,400,892,095,380,372,101,356,
018,009,616,960,205,424,046,413,589,193,051,742,509,783,666,072,899,193,441,
396,704,280,629,765,035,792,811,940,786,380,634,022,810,229,501,378,982,328,
364,418,745,193,044,084,091,130,848,840,953,631,272,725,671,335,794,757,283,
982,222,787,644,778,566,486,942,077,130,504,336,201,019,031,582,207,494,103,
634,793,536,654,817,660,501,751,913,772,429,141,564,977,871,700,089,165,449,
761,928,361,222,849,683,214,267,847,425,787,953,208,316,016,467,203,465,902,
574,470,772,440,534,562,860,809,148,495,544,602,904,557,568,899,666,068,288,
192,278,562,812,613,676,082,036,805,435,699,807,289,808,289,757,835,250,681,
262,477,478,459,970,820,827,992,888,274,475,403,061,214,472,481,199,262,860,
192,640,336,415,700,979,499,996,873,492,786,973,036,702,767,831,273,534,805,
053,850,150,030,369,283,918,899,958,677,453,309,171,366,918,059,880,027,622,
170,405,334,902,171,438,343,268,984,648,164,830,094,523,999,945,440,918,429,
215,526,481,587,756,516,905,350,754,190,932,011,251,062,582,446,643,922,980,
464,410,452,250,723,775,986,720,495,902,996,180,818,040,383,474,743,690,515,
135,532,352,775,019,285,467,316,959,238,682,863,254,031,061,822,478,929,297,
843,726,955,748,658,073,652,649,865,611,072,743,431,477,134,798,490,402,086,
012,168,036,265,906,644,470,115,365,203,586,351,460,460,579,755,060,597,922,
837,474,937,854,060,650,316,759,474,463,173,187,738,953,695,704,886,237,562,
027,972,964,265,819,714,644,776,139,282,391,407,353,781,774,182,961,675,981,
956,290,723,516,721,928,020,065,742,645,552,392,152,398,238,125,999,913,273,
531,901,262,709,121,982,500,983,516,022,449,044,856,110,961,055,311,517,896,
756,361,141,770,271,368,216,355,524,559,245,261,574,834,059,588,300,139,733,
875,767,523,269,899,721,097,757,291,236,700,023,805,767,379,260,341,745,212,
788,049,131,257,198,068,351,078,422,551,951,716,865,255,590,736,797,134,621,
466,928,601,105,659,856,574,816,193,059,469,328,913,354,935,868,522,858,511,
838,620,857,431,259,329,585,636,485,098,031,066,536,941,013,177,073,609,126,
964,594,889,036,119,042,219,909,238,137,624,558,879,742,787,754,985,356,014,
828,281,978,742,134,726,969,247,123,338,849,551,060,998,136,039,894,772,502,
993,779,664,776,910,660,899,157,270,163,930,232,374,150,036,768,721,365,298,
782,224,178,848,571,891,257,474,860,250,087,996,213,158,003,575,093,273,116,
222,271,011,065,752,717,863,709,694,666,693,858,438,150,649,213,980,298,918,
270,990,435,201,538,444,403,768,937,318,607,417,272,943,520,939,187,259,042,
798,241,595,195,301,065,332,325,394,194,951,227,881,527,502,259,847,325,702,
276,321,380,598,654,589,558,672,161,984,619,882,480,823,352,409,408,925,988,
874,219,214,314,199,990,470,067,488,511,107,613,549,649,212,273,097,339,414,
847,147,504,333,692,774,019,604,367,756,553,510,684,058,204,730,040,867,233,
176,853,759,276,211,808,371,373,444,175,828,046,323,084,000,415,138,310,681,
121,864,363,899,541,497,334,815,273,322,362,482,012,457,307,653,558,737,378,
538,956,900,074,464,984,831,778,272,922,080,786,848,680,709,572,475,680,091,
311,054,821,045,824,066,150,393,446,369,170,319,965,087,322,988,138,517,727,
025,455,994,719,694,496,336,198,722,106,246,061,074,996,477,408,075,790,593,
424,264,275,313,935,558,993,148,812,756,542,240,508,261,762,884,561,770,812,
432,344,309,852,851,960,540,407,058,265,110,080,479,618,144,580,937,010,137,
902,205,878,850,974,457,013,552,711,596,103,350,088,632,307,417,451,856,964,
446,118,501,637,582,319,517,307,810,472,485,333,208,909,541,519,918,589,064,
413,552,906,368,043,382,182,072,067,619,082,736,120,336,390,529,909,297,493,
468,546,667,621,500,633,448,907,345,665,385,881,826,278,537,903,244,712,220,
786,648,690,915,958,746,548,692,660,456,103,869,685,709,425,398,432,234,845,
233,552,741,128,644,494,288,164,361,884,948,956,107,208,110,096,768,620,625,
430,980,386,233,896,097,032,398,396,451,689,147,515,524,367,761,745,266,724,
316,954,317,449,122,051,381,304,011,230,013,246,088,398,114,536,988,706,243,
232,919,073,371,078,257,681,000,764,218,869,394,240,009,297,319,238,378,236,
700,493,514,939,909,524,174,179,629,344,387,597,607,393,087,925,776,130,411,
089,718,848,286,967,096,993,406,735,117,588,172,717,267,289,460,864,474,419,
015,188,665,084,591,810,552,596,416,643,198,216,524,608,015,657,008,218,024,
574,452,432,219,802,878,826,316,829,474,183,751,353,238,618,461,136,621,652,
035,456,630,971,780,198,641,127,399,005,883,386,335,423,547,304,429,751,366,
380,537,722,083,390,184,241,287,920,114,399,495,448,728,812,733,608,359,501,
294,460,120,776,769,502,053,290,068,750,107,264,798,986,576,259,154,710,636,
516,404,327,247,840,276,772,641,312,009,781,340,837,086,028,370,994,913,129,
015,834,253,757,455,500,863,226,613,554,993,267,480,544,786,628,738,401,168,
375,962,421,753,880,620,616,561,254,094,992,861,260,914,923,712,689,937,329,
335,421,968,958,817,726,360,137,529,980,317,162,552,251,477,739,044,086,717,
034,988,965,792,467,339,611,880,022,809,946,484,251,075,313,736,775,157,680,
903,162,589,940,641,897,048,127,742,455,691,704,929,433,534,024,424,878,891,
599,916,769,762,647,624,162,186,446,551,895,091,812,113,484,777,442,229,936,
007,914,720,076,782,923,502,673,126,657,260,654,714,432,967,831,051,888,758,
212,770,596,889,309,428,417,203,889,833,839,311,070,338,538,482,744,414,312,
201,698,735,100,084,964,376,445,824,101,936,675,772,639,268,251,106,243,075,
818,652,274,116,012,477,935,151,508,037,142,729,325,183,431,706,983,987,389,
808,488,862,697,659,100,183,386,777,530,518,926,344,418,399,848,868,442,793,
192,020,983,317,196,643,880,139,695,485,173,157,866,492,229,016,902,205,050,
992,701,136,971,244,510,894,041,054,957,540,699,563,644,878,794,582,462,254,
017,504,013,563,889,910,871,974,110,183,653,650,736,606,271,087,938,969,485,
235,176,515,039,919,339,911,245,049,960,060,639,460,965,313,479,303,814,303,
866,254,671,768,788,157,177,491,387,141,776,912,075,603,376,467,512,225,802,
963,632,276,658,918,351,460,200,771,693,561,203,701,595,801,597,727,864,510,
671,845,443,249,987,766,611,294,537,056,787,500,017,864,049,303,673,605,555,
641,228,588,274,051,386,258,342,747,296,338,202,962,274,488,046,463,416,540,
416,057,043,398,858,002,659,999,651,278,111,509,091,235,059,006,674,228,482,
098,358,217,404,998,845,451,639,551,768,190,076,442,501,118,989,172,145,270,
177,406,499,193,814,396,378,729,324,782,023,710,265,599,889,234,689,232,674,
186,494,887,599,276,072,247,166,300,868,343,732,439,497,611,326,815,791,804,
967,354,505,926,593,919,714,287,956,427,914,043,568,628,797,053,733,450,854,
828,437,307,902,438,816,205,866,643,807,415,659,928,541,226,900,920,301,571,
110,069,582,308,539,672,027,034,867,541,474,046,964,358,827,997,089,993,830,
961,467,531,425,319,817,946,770,950,647,732,741,866,673,617,624,749,321,894,
610,341,883,382,371,121,837,472,090,923,752,306,212,148,990,519,542,282,968,
483,537,863,523,376,662,791,916,855,773,873,244,040,655,023,489,455,676,155,
516,987,257,656,340,332,805,789,511,298,492,443,554,305,886,939,404,384,613,
047,869,589,757,906,431,638,703,067,525,976,708,387,888,178,814,597,770,453,
903,333,483,567,969,524,441,484,414,693,657,763,650,321,500,446,116,113,755,
523,704,446,310,171,186,289,893,718,483,833,814,178,320,374,387,964,885,058,
485,982,012,465,301,574,245,529,374,377,036,166,394,097,909,929,615,581,239,
724,592,937,366,229,890,949,642,029,790,712,340,524,842,548,120,671,568,818,
021,112,399,804,088,546,375,490,006,359,876,518,309,830,226,303,996,090,302,
997,149,329,437,058,285,733,068,054,957,617,888,107,342,248,727,043,022,896,
999,892,365,023,714,873,643,369,640,011,819,352,993,514,969,989,411,473,733,
532,998,388,021,584,683,568,996,597,263,469,917,840,298,867,945,009,243,773,
514,632,917,758,233,289,664,616,427,385,739,237,255,455,062,656,519,379,031,
810,743,157,400,583,209,686,562,727,802,486,045,243,971,862,519,901,008,315,
613,794,484,833,119,851,070,439,383,822,747,795,680,230,484,949,864,610,838,
858,679,407,497,814,050,387,049,760,750,393,560,767,087,898,091,789,792,868,
828,288,031,243,903,361,841,284,098,329,221,533,528,186,957,180,407,575,910,
993,068,057,166,322,445,007,279,313,189,120,858,268,080,895,528,954,114,509,
705,679,194,870,451,820,488,420,883,766,397,663,278,711,319,284,709,811,897,
062,960,350,634,827,126,816,400,961,342,584,431,889,407,383,067,966,777,736,
232,968,107,689,021,627,026,527,588,592,331,096,046,065,282,215,982,885,598,
009,758,817,412,164,443,416,042,652,587,749,686,268,632,188,403,284,072,789,
007,892,540,414,323,612,375,169,475,692,275,643,120,575,284,559,586,600,774,
369,748,044,718,292,664,223,079,119,288,192,999,252,398,136,681,942,548,323,
578,688,933,049,382,236,155,427,655,783,686,380,769,757,467,893,815,241,664,
338,677,161,252,271,507,596,068,062,470,559,966,621,707,887,946,933,103,135,
665,742,204,896,488,581,528,097,541,782,603,255,852,677,793,633,894,567,921,
389,628,330,574,110,014,569,699,560,856,917,724,116,889,299,709,846,723,125,
335,260,147,122,339,122,911,299,110,569,600,043,100,402,153,011,155,507,452,
230,599,701,853,047,585,147,686,438,842,624,701,726,574,130,360,085,018,450,
183,098,510,189,258,875,651,429,707,684,874,570,268,399,041,832,561,842,995,
684,026,179,395,045,008,907,294,950,965,905,781,508,106,681,106,090,735,407,
649,331,211,737,483,614,598,977,449,816,397,524,203,393,273,394,469,628,993,
315,079,149,136,708,329,082,075,684,078,234,446,551,739,489,942,195,134,657,
932,201,677,512,226,272,001,266,732,062,603,114,681,079,585,354,702,204,464,
471,888,716,602,374,198,670,830,684,969,463,137,685,254,893,705,629,095,945,
774,255,539,425,980,380,464,491,118,282,211,450,770,994,426,362,994,931,681,
988,240,357,353,062,675,454,940,230,249,869,634,246,280,854,677,685,241,298,
341,145,336,134,005,330,753,350,642,979,774,150,558,060,509,319,410,527,589,
316,323,341,602,603,867,471,291,148,870,685,262,133,622,159,994,897,795,579,
163,254,550,490,838,352,890,084,018,874,072,387,231,312,466,355,302,740,255,
341,077,266,106,754,063,934,968,006,902,899,287,789,048,362,340,749,651,232,
703,852,985,270,325,541,556,672,700,591,493,365,128,695,098,729,569,292,390,
614,915,555,063,206,874,463,393,982,227,187,163,989,653,022,843,406,092,891,
228,287,811,992,456,796,723,376,717,373,355,288,498,174,893,350,160,702,552,
086,980,298,883,801,729,291,538,203,329,864,981,784,821,112,286,177,583,146,
942,580,108,113,334,310,919,082,369,358,920,730,326,315,294,142,329,538,971,
920,645,551,795,875,864,479,888,407,402,282,304,465,913,314,589,876,220,346,
154,084,855,581,890,004,113,191,201,106,711,865,558,288,102,553,710,154,546,
241,276,603,297,797,355,280,292,026,052,299,538,231,804,185,997,766,884,922,
715,049,122,706,315,686,674,556,808,230,480,460,083,170,256,870,526,766,287,
988,545,620,612,584,751,248,660,793,636,380,395,284,901,738,718,890,868,271,
998,501,534,171,065,251,327,970,899,376,216,708,024,174,300,825,388,624,179,
750,915,913,283,475,290,314,439,199,991,708,025,203,213,147,839,393,577,790,
936,923,382,768,701,418,819,497,656,833,520,332,287,848,299,321,968,128,562,
023,637,760,668,172,574,365,491,266,300,900,856,865,222,508,161,272,085,333,
315,613,868,567,103,068,240,256,606,202,130,814,146,854,586,329,562,839,264,
280,629,896,370,953,140,705,794,459,722,429,662,545,812,017,739,243,902,412,
435,103,932,553,896,103,369,679,477,819,709,271,889,166,730,212,749,607,081,
470,421,923,662,889,664,856,589,556,309,784,544,371,775,161,503,757,768,436,
581,237,742,464,972,007,563,543,793,359,316,164,881,392,199,400,735,704,450,
464,449,163,518,787,111,394,158,668,230,206,030,534,004,249,489,018,731,211,
134,963,660,912,417,887,797,240,610,662,235,638,456,756,955,239,203,586,859,
763,343,540,588,485,223,965,127,483,732,012,681,176,900,002,974,629,645,626,
360,733,944,902,247,977,898,700,072,954,421,952,023,187,633,123,605,925,417,
515,924,831,521,642,827,206,609,981,781,319,800,037,818,467,693,070,928,997,
625,161,799,906,707,557,625,788,922,911,631,126,725,102,622,518,109,206,418,
282,277,665,804,155,484,604,961,077,569,440,198,910,061,424,508,102,950,759,
766,757,188,163,877,431,467,371,231,429,337,650,038,511,653,002,852,616,717,
838,033,158,187,522,886,556,850,344,300,713,895,366,978,973,868,203,506,429,
375,885,325,326,495,399,844,144,371,649,484,885,156,813,496,205,380,225,649,
915,850,746,156,571,715,772,741,274,686,176,193,021,852,456,892,980,189,651,
820,613,201,453,250,483,711,537,170,019,483,006,085,989,629,328,480,553,651,
452,905,619,850,001,210,950,592,654,389,261,753,405,124,353,038,370,761,183,
338,672,474,490,759,220,401,205,805,000,842,590,812,030,894,150,546,363,056,
256,749,118,826,395,184,504,061,418,538,971,971,752,948,492,258,893,476,002,
632,946,749,105,459,938,391,146,574,255,630,124,117,704,318,406,630,884,965,
465,378,122,099,168,765,141,066,766,746,258,310,029,678,094,591,082,230,693,
798,955,064,532,938,258,685,172,010,790,032,531,241,000,334,868,507,082,763,
429,405,661,914,944,422,758,475,912,493,231,605,736,702,110,446,218,097,506,
482,475,085,282,978,630,414,956,884,492,629,681,832,251,220,023,681,368,148,
822,603,985,143,070,222,592,517,612,040,456,209,483,521,648,397,329,935,965,
353,384,182,222,270,359,795,496,823,747,225,446,685,284,737,869,511,603,850,
114,667,198,467,909,259,479,484,943,906,555,761,122,266,925,973,184,587,068,
315,306,103,877,084,002,948,507,376,700,217,117,106,039,767,898,217,157,408,
436,045,177,671,184,057,602,752,620,837,000,581,553,007,099,484,875,338,564,
284,367,014,173,867,781,487,960,463,603,456,254,282,071,540,416,667,866,870,
683,908,562,380,540,013,756,728,092,508,533,145,012,859,824,051,368,812,589,
526,303,673,589,315,024,615,900,330,064,744,644,257,330,290,921,744,354,986,
043,577,539,151,743,993,594,078,976,133,477,454,823,933,369,523,986,421,327,
793,956,697,459,453,663,884,062,348,820,151,132,307,450,936,405,728,873,719,
166,334,091,372,523,376,226,450,845,640,246,951,581,639,492,589,104,801,897,
183,316,408,889,073,850,107,338,116,647,701,193,831,917,232,689,974,454,913,
351,311,642,755,953,975,173,998,276,540,524,422,350,888,198,821,451,840,995,
362,235,874,131,331,630,972,626,587,998,059,536,608,831,861,421,917,507,954,
736,472,774,730,454,876,864,384,512,256,342,261,746,798,218,106,477,878,335,
295,869,321,960,805,353,265,123,113,232,290,974,394,302,369,432,589,604,658,
695,159,052,914,179,645,991,189,535,178,303,823,768,353,286,432,105,384,423,
828,646,430,273,621,228,408,369,906,942,404,449,532,853,792,696,589,978,530,
530,683,319,029,385,142,680,864,311,213,091,907,423,009,754,881,306,753,472,
747,997,868,905,182,917,310,373,086,163,363,126,248,744,057,937,414,330,978,
067,881,542,361,267,399,945,905,692,180,578,246,205,826,923,418,031,157,213,
255,255,877,804,982,454,810,562,534,918,428,148,110,920,910,440,304,063,466,
067,861,801,546,485,744,721,044,391,231,409,601,169,749,006,305,608,977,950,
661,183,270,459,327,987,612,665,822,836,633,510,902,446,618,223,182,467,413,
363,216,862,224,894,875,430,319,496,141,391,318,891,350,500,493,232,591,382,
193,123,200,955,308,191,313,324,934,346,188,767,423,257,598,520,172,905,704,
376,793,649,216,180,015,427,041,183,560,614,050,086,680,288,843,431,434,041,
924,102,666,827,326,347,314,911,650,073,296,104,845,920,811,058,975,161,678,
080,851,618,016,870,073,193,804,218,560,281,829,544,109,924,049,309,699,974,
162,103,242,922,966,630,446,322,354,165,632,840,961,590,481,481,337,140,545,
276,889,020,277,648,103,023,536,124,387,737,208,074,310,268,642,822,785,810,
829,007,840,023,592,761,639,074,762,225,961,927,218,065,740,454,968,639,231,
368,890,557,409,204,601,000,533,927,734,488,407,677,401,281,815,765,216,753,
299,682,905,288,374,514,411,048,881,899,606,066,654,805,177,203,337,921,723,
545,808,314,207,346,984,129,245,345,756,371,344,750,649,499,801,738,266,794,
905,449,645,472,178,200,968,502,720,377,786,527,365,385,419,612,432,702,042,
029,849,349,247,445,547,091,640,459,073,086,387,996,067,473,080,908,390,588,
592,518,221,382,522,024,784,201,849,896,081,565,445,323,746,213,622,532,392,
124,061,992,179,573,117,614,878,537,579,592,599,690,101,094,434,879,809,236,
856,528,470,395,378,513,764,370,856,507,454,047,163,832,646,411,167,414,828,
929,484,943,920,283,334,056,201,007,895,003,829,007,458,156,167,225,617,269,
893,633,696,001,165,659,338,621,519,475,352,053,104,695,502,392,814,509,681,
985,043,993,850,605,388,797,491,946,117,584,625,174,686,298,856,021,466,046,
023,410,279,310,464,612,241,700,497,794,139,258,661,818,703,729,695,296,965,
243,922,639,261,183,326,447,807,335,372,705,294,448,423,453,437,515,581,440,
560,665,224,961,907,768,251,268,177,400,177,867,365,802,955,289,212,460,969,
846,793,698,948,519,987,677,301,972,469,995,615,651,020,633,591,823,182,537,
786,340,707,644,304,798,515,768,751,392,260,801,461,333,770,034,046,557,032,
518,169,198,284,259,267,884,814,057,622,925,076,096,210,500,739,102,933,967,
764,690,024,047,506,776,899,420,210,319,238,800,510,345,757,191,918,523,139,
807,415,232,482,500,042,203,617,910,835,973,535,377,878,965,082,095,887,374,
016,797,761,841,016,660,159,256,811,206,789,285,659,612,977,832,266,533,828,
622,791,761,559,588,562,973,343,139,918,472,488,411,685,412,261,677,971,294,
417,286,734,857,760,762,565,555,157,028,495,554,857,690,619,598,159,633,046,
300,210,885,827,810,899,381,962,402,860,001,376,352,186,088,307,202,410,011,
717,943,860,082,959,084,535,182,597,967,799,527,947,041,802,995,711,081,440,
522,484,964,708,980,446,234,183,229,378,205,885,013,205,800,607,263,891,490,
723,981,224,125,888,746,211,822,111,729,033,765,985,215,590,039,325,026,180,
250,541,728,122,008,705,347,166,783,902,142,934,358,272,790,431,548,590,861,
974,072,985,302,055,908,092,835,456,742,460,048,111,765,689,013,063,178,606,
259,703,454,976,836,446,906,960,440,296,089,683,552,114,458,672,759,093,055,
504,111,678,677,740,804,787,573,052,468,129,029,469,144,810,173,822,637,450,
377,294,677,244,561,646,286,188,523,419,890,314,988,486,280,014,984,432,223,
398,515,715,940,332,122,024,785,149,137,458,248,258,545,905,763,121,474,603,
489,714,765,743,912,588,432,161,530,885,370,352,118,369,561,874,196,501,685,
184,324,155,072,913,971,675,662,115,321,103,711,567,758,871,001,240,052,523,
178,441,253,746,500,179,570,331,791,531,309,059,069,586,059,432,317,159,440,
019,969,076,148,850,410,875,334,911,494,183,896,256,104,278,719,186,973,515,
857,856,419,381,260,818,514,979,558,131,953,679,907,901,444,685,372,518,392,
161,953,045,139,578,292,998,719,632,654,126,509,580,926,130,875,427,444,207,
936,146,299,200,213,980,343,781,609,128,435,995,173,112,507,308,246,334,061,
291,999,674,434,602,591,795,808,912,978,971,409,664,701,942,184,018,512,201,
385,812,593,093,983,783,881,780,503,978,027,700,318,915,674,426,145,439,520,
388,710,112,142,813,771,240,260,930,320,205,419,167,836,970,201,108,310,627,
852,852,806,561,071,378,969,211,986,656,023,910,385,002,065,748,474,233,346,
970,808,149,103,927,962,047,811,152,269,769,778,161,489,732,120,203,742,821,
944,065,977,790,036,340,020,781,167,906,034,897,602,042,673,344,652,827,514,
546,097,172,165,518,921,636,468,025,662,773,075,728,904,861,212,704,877,552,
317,312,629,242,336,533,422,899,612,268,410,997,852,910,050,558,878,215,248,
200,713,099,824,809,250,466,083,069,934,140,496,901,205,211,011,287,203,315,
248,416,909,309,126,786,504,047,856,255,079,948,667,331,886,691,691,871,004,
066,395,556,550,867,546,575,674,478,481,810,154,819,438,111,100,271,738,071,
677,579,493,720,635,044,144,987,326,261,909,057,809,750,602,684,084,682,620,
573,533,275,604,849,099,048,649,323,217,680,831,568,628,300,482,126,368,927,
311,939,021,583,896,834,785,628,919,974,861,220,759,555,238,959,025,512,643,
008,414,826,879,532,385,890,158,808,890,609,477,440,429,432,782,976,833,796,
650,942,837,841,873,623,045,278,600,605,116,724,045,158,018,849,252,541,936,
593,824,875,275,196,977,104,094,558,437,970,012,996,734,096,040,693,362,705,
465,257,213,168,456,731,591,462,492,271,308,983,180,982,735,060,065,982,973,
663,830,388,236,802,989,164,942,637,215,249,644,889,717,527,053,437,858,346,
519,367,867,416,008,725,069,648,444,800,322,695,089,958,315,557,671,579,907,
814,811,098,218,897,042,886,478,680,017,710,861,299,755,999,425,974,769,934,
389,395,830,746,386,289,582,097,228,592,361,250,695,151,211,301,098,348,445,
540,141,782,300,164,217,207,625,967,918,947,315,462,863,984,393,792,993,332,
387,615,390,372,164,699,764,807,903,432,374,242,309,637,332,517,650,810,849,
610,774,630,266,429,027,501,554,685,399,968,733,247,641,410,224,980,147,608,
297,109,699,396,606,866,143,752,052,908,355,962,620,949,286,415,423,280,753,
391,625,975,030,998,482,100,098,746,581,675,755,465,926,283,827,556,351,439,
647,856,583,976,677,808,600,262,020,430,249,490,391,614,678,858,258,348,680,
890,141,009,358,877,964,026,854,288,478,534,486,342,868,984,393,544,423,409,
469,259,060,735,369,173,826,756,998,053,570,614,229,295,822,660,681,386,750,
408,088,321,152,912,287,573,227,406,891,256,263,423,359,159,402,838,420,618,
337,070,071,823,251,821,476,884,048,233,132,385,980,587,001,964,489,287,385,
491,066,531,182,707,531,643,767,324,535,471,390,185,628,375,443,531,573,888,
029,522,382,051,452,660,774,532,992,218,165,798,803,429,413,944,585,196,804,
207,398,080,848,851,102,693,510,154,858,983,581,643,604,914,627,946,420,430,
799,617,087,095,256,138,183,258,001,110,255,422,385,980,412,488,990,588,896,
817,197,324,537,310,366,047,170,771,934,869,022,910,800,308,442,122,669,269,
218,279,117,463,320,322,432,522,966,046,839,713,917,958,561,043,324,411,862,
867,829,395,066,941,132,573,054,463,977,828,786,653,482,990,460,127,627,457,
045,320,319,933,045,342,784,361,528,252,515,590,900,170,664,887,135,484,507,
897,570,924,966,940,621,608,135,684,291,560,703,256,354,770,310,233,730,858,
134,757,415,619,629,499,496,040,461,087,974,645,693,357,188,527,702,450,234,
504,567,214,483,804,166,150,907,809,240,990,373,897,131,426,434,916,292,219,
824,156,890,923,897,621,118,505,210,967,959,879,102,081,103,986,399,286,299,
594,443,115,458,972,864,942,412,649,764,155,409,933,033,968,165,034,687,356,
631,241,738,842,430,917,278,749,349,772,721,782,776,077,341,827,612,487,635,
691,155,061,218,832,227,499,188,820,972,081,350,107,732,383,598,376,843,259,
998,143,629,602,467,905,220,481,682,356,005,300,142,501,071,630,815,850,145,
636,019,976,511,837,123,845,101,501,397,532,888,430,137,334,914,127,091,771,
386,139,038,939,767,135,796,545,569,674,204,598,195,504,585,844,751,659,089,
129,623,503,198,274,017,383,754,675,238,986,122,921,397,295,540,954,088,000,
474,231,198,625,203,860,744,987,402,012,282,697,378,410,489,287,857,953,213,
203,240,665,349,972,836,296,698,762,852,190,673,214,029,696,202,617,392,364,
210,226,595,192,855,393,917,041,864,297,953,211,083,007,021,062,869,726,815,
163,027,225,037,599,486,250,763,122,773,104,994,109,929,747,645,381,710,398,
232,402,385,828,794,647,192,141,359,429,070,996,673,440,770,007,067,339,105,
087,607,140,305,593,644,588,135,320,491,179,859,554,006,753,781,360,225,937,
106,852,462,564,117,780,473,894,078,124,222,352,539,047,318,399,425,769,347,
033,360,179,447,230,055,190,073,029,854,393,946,722,202,963,517,480,068,751,
272,602,217,276,760,461,735,344,782,436,161,842,395,898,437,623,620,874,015,
847,373,389,135,418,474,701,034,543,767,476,858,498,431,256,439,477,942,442,
157,790,826,056,510,052,069,186,773,911,878,913,720,214,594,309,134,093,668,
272,014,316,101,737,839,634,970,679,858,019,070,144,206,753,716,373,251,462,
879,405,256,523,302,542,636,306,061,231,468,409,469,751,824,482,453,385,992,
845,748,181,470,109,776,204,034,798,552,871,842,616,583,751,103,510,481,929,
390,120,897,225,454,367,885,674,415,649,596,837,208,516,112,551,311,688,502,
213,858,791,740,044,367,867,826,323,206,755,539,805,271,808,454,238,733,931,
504,616,761,301,281,885,618,147,662,190,379,669,048,043,103,919,096,691,226,
416,311,716,140,208,587,997,808,616,467,212,198,741,607,427,519,462,870,883,
853,493,844,267,931,116,165,466,880,033,351,153,907,615,367,679,275,142,472,
304,773,687,326,246,336,052,919,993,853,197,712,209,121,335,624,292,393,207,
062,603,216,878,909,276,768,503,184,100,791,450,690,184,042,096,703,888,546,
561,078,700,955,522,259,198,715,339,307,825,854,251,949,785,490,472,106,689,
329,001,753,936,334,619,707,728,879,285,589,467,772,761,596,726,795,673,000,
645,175,795,530,735,722,280,898,914,177,067,820,423,903,404,705,582,202,670,
704,344,953,358,515,499,930,191,013,824,759,542,557,225,536,186,562,121,010,
876,850,691,731,008,590,839,749,223,274,275,800,912,306,812,818,863,683,991,
461,023,426,628,877,682,996,573,252,284,845,787,286,814,873,719,303,182,042,
906,562,278,506,202,686,828,769,904,808,411,510,076,030,878,008,321,800,560,
798,298,734,146,940,209,251,294,706,206,972,393,477,776,203,055,618,601,766,
176,838,187,964,469,662,128,888,237,318,183,353,119,560,409,741,306,256,498,
568,261,176,067,133,631,043,532,710,012,533,714,661,032,286,319,610,051,870,
149,546,589,340,927,522,221,292,337,468,542,552,890,363,659,630,048,916,358,
445,213,223,827,875,132,704,192,300,772,122,142,033,629,742,149,202,426,902,
914,914,265,014,157,816,237,669,095,955,441,625,489,428,617,251,293,719,271,
864,843,901,623,763,675,171,612,869,763,857,009,235,703,141,410,122,168,093,
552,621,000,703,817,544,853,935,209,665,295,508,078,755,537,588,233,995,730,
374,493,415,937,890,940,503,123,827,828,253,236,507,719,537,163,273,812,073,
849,745,229,233,402,766,959,380,471,419,785,688,983,795,621,779,434,565,746,
945,858,313,352,867,072,275,930,613,312,496,986,313,557,211,584,486,418,645,
900,649,780,876,635,075,558,270,446,619,881,963,315,443,214,919,456,885,497,
618,347,598,161,484,621,766,882,913,429,496,524,136,610,384,756,701,094,760,
604,237,981,546,101,585,717,974,330,636,730,362,317,029,839,851,590,787,679,
927,437,513,870,898,330,847,166,602,251,388,220,931,258,465,672,633,621,595,
500,098,784,229,660,878,410,358,908,105,111,950,041,812,967,072,392,477,342,
838,474,038,954,191,284,278,852,545,849,587,257,902,614,008,730,532,031,715,
185,539,338,073,337,760,162,985,043,769,811,684,549,214,348,635,499,074,654,
870,089,081,779,407,888,225,510,355,720,904,128,356,466,937,634,056,591,652,
846,783,668,559,474,087,977,780,434,824,320,581,221,852,595,608,897,126,630,
266,276,117,238,200,576,116,913,611,566,743,192,278,793,706,526,797,319,204,
603,092,937,062,274,967,104,289,465,575,161,459,144,360,364,230,481,074,455,
096,337,157,200,533,982,161,618,351,729,882,056,437,834,635,382,523,344,099,
206,563,947,395,695,200,827,290,570,200,365,505,759,553,956,640,894,703,447,
490,564,277,545,109,031,031,527,252,176,374,168,889,703,601,307,559,818,170,
511,020,857,349,806,025,011,810,065,584,019,198,480,740,292,424,803,284,735,
966,392,640,162,762,356,313,991,068,826,848,285,816,735,943,526,449,215,978,
366,054,063,344,861,343,129,323,551,201,091,974,359,717,353,471,590,624,928,
614,826,265,076,707,212,875,043,814,948,076,620,521,218,693,344,905,118,860,
841,733,862,172,845,118,812,523,699,726,923,262,009,243,318,224,385,486,683,
900,974,823,031,071,769,624,641,559,294,639,555,193,366,505,845,363,888,264,
236,686,732,669,839,090,068,249,977,748,948,807,423,932,252,686,950,277,733,
733,201,271,610,719,341,801,924,613,004,226,661,975,863,021,104,003,990,242,
658,419,779,201,025,123,463,888,931,579,321,845,275,680,703,539,892,387,621,
817,514,919,733,553,934,959,544,918,520,192,523,700,104,597,835,710,789,413,
056,343,787,945,135,824,729,607,912,255,052,720,667,155,564,208,065,317,356,
124,896,006,846,825,085,573,690,079,910,041,543,148,045,458,398,122,620,983,
155,394,735,276,084,533,449,939,269,409,571,234,450,834,978,936,434,673,075,
462,414,305,886,972,056,583,362,876,774,708,741,532,526,132,786,858,279,931,
121,457,917,858,563,964,283,137,384,157,243,739,391,699,259,712,696,844,888,
518,117,612,643,304,829,683,239,994,563,345,460,015,759,964,858,599,552,275,
525,521,549,122,027,087,004,480,323,226,143,457,897,896,636,713,332,428,544,
743,863,282,329,738,421,279,787,615,702,672,861,184,223,728,737,416,235,343,
077,928,397,854,753,390,202,675,765,995,037,680,702,281,769,393,552,565,531,
383,242,904,023,370,934,602,030,324,354,724,262,595,332,311,623,931,400,981,
879,864,902,454,283,784,923,657,998,228,354,672,090,216,101,340,430,318,983,
018,153,082,399,500,267,032,454,979,493,408,430,438,258,204,385,738,788,859,
871,515,237,531,109,271,987,863,701,735,554,941,309,774,312,326,474,186,251,
914,904,480,448,390,392,758,893,687,316,253,536,306,655,756,403,542,827,199,
724,520,602,249,384,415,394,569,973,294,199,096,939,519,286,734,392,582,919,
981,027,928,172,283,389,947,515,171,258,044,014,686,610,230,081,389,528,370,
053,868,737,034,130,921,042,381,626,176,030,253,257,114,618,134,677,595,350,
226,231,535,733,936,364,858,584,694,994,700,109,103,797,990,810,030,685,545,
803,928,817,914,358,067,562,221,423,497,505,875,019,615,737,861,264,207,930,
528,968,477,104,323,443,584,135,323,693,394,113,540,893,885,402,514,434,438,
098,149,499,099,893,765,910,716,229,232,136,935,364,985,632,503,314,782,863,
463,765,726,869,047,709,016,308,282,739,991,223,708,492,171,365,215,178,954,
604,496,232,228,963,926,111,618,196,627,032,132,736,475,795,431,890,021,519,
461,950,806,071,802,359,799,073,840,171,766,927,367,783,431,695,075,138,222,
966,086,663,925,351,551,587,215,564,502,919,541,728,612,745,146,162,997,644,
296,564,917,233,515,932,892,539,018,016,884,400,843,551,945,614,544,623,413,
535,143,403,613,664,633,364,907,586,043,262,867,325,233,438,698,946,072,529,
635,550,698,101,705,831,971,536,203,899,336,570,015,661,186,550,090,570,516,
294,331,028,996,251,910,123,096,903,154,984,122,402,336,499,164,168,832,793,
446,900,757,682,386,877,007,851,360,358,520,904,591,198,184,699,672,566,090,
744,436,387,189,252,870,329,285,688,341,932,636,514,490,863,134,861,377,201,
946,248,931,255,870,955,111,047,231,325,060,189,408,282,644,480,514,192,117,
256,841,519,557,295,811,429,248,282,554,026,064,994,369,026,176,470,125,683,
111,064,016,701,861,371,650,765,123,545,765,048,870,975,136,915,712,993,226,
714,717,704,274,657,743,429,561,328,734,164,119,502,297,116,911,653,491,563,
045,889,330,014,011,778,358,818,899,410,449,400,363,720,202,999,451,769,083,
991,641,679,316,262,488,432,711,640,224,146,843,936,681,206,978,488,659,448,
712,172,522,249,404,749,039,534,358,514,692,900,178,649,665,444,022,573,383,
682,527,782,880,748,257,056,749,189,633,988,113,078,102,626,472,663,487,075,
610,166,478,987,453,411,621,197,628,750,700,925,477,274,234,801,497,200,253,
120,265,301,955,560,983,350,924,155,479,704,617,605,901,608,457,084,600,498,
213,984,740,872,833,705,503,629,020,699,976,068,785,221,524,569,309,119,056,
550,624,311,745,510,136,687,750,853,476,339,856,509,290,840,329,242,064,169,
522,223,797,762,340,519,470,718,994,350,305,003,470,783,336,656,170,903,538,
089,594,988,352,325,888,091,693,143,737,361,509,876,110,306,285,266,586,730,
484,543,032,179,130,577,950,090,650,592,577,864,534,023,841,378,021,037,042,
058,398,013,290,032,920,271,024,934,016,086,127,547,942,572,961,439,547,663,
591,514,949,176,687,702,147,764,478,975,779,191,278,840,494,868,772,336,754,
163,745,966,198,811,210,741,360,985,803,146,435,012,696,197,720,198,841,047,
350,678,801,861,143,518,140,604,794,290,300,696,306,764,779,748,181,341,388,
883,069,473,739,025,986,766,010,833,174,389,429,503,637,281,664,503,724,899,
118,922,583,905,740,193,141,880,197,799,301,563,371,423,875,206,440,548,719,
117,920,392,246,796,511,286,974,927,513,444,214,494,595,628,946,981,945,867,
627,582,647,978,210,711,425,903,039,846,720,501,432,185,814,761,255,630,481,
040,440,965,830,022,512,170,533,209,139,413,532,372,490,243,647,387,494,066,
763,298,100,868,321,857,727,606,023,322,183,026,411,702,440,705,105,829,333,
816,164,785,806,770,889,762,160,401,919,788,128,420,176,985,071,694,979,578,
560,412,241,860,921,306,820,931,466,418,555,492,661,969,746,866,502,409,814,
869,688,798,397,180,401,758,750,714,180,357,726,801,626,444,529,755,617,017,
911,497,266,708,692,739,598,740,455,738,322,493,626,834,491,504,709,153,194,
077,064,512,988,996,202,128,944,256,223,293,043,938,521,365,426,849,280,602,
214,319,280,514,028,488,509,459,374,884,881,932,353,970,358,206,167,734,216,
380,440,334,464,708,601,045,824,582,444,120,729,938,071,256,482,658,658,425,
053,809,389,308,415,954,670,848,828,597,742,975,929,902,969,057,038,036,694,
210,258,995,668,349,030,700,155,088,133,691,165,768,219,910,462,951,255,797,
254,364,713,171,716,153,787,627,618,325,496,541,287,477,360,435,452,862,963,
551,778,695,135,601,495,122,829,580,521,694,893,877,083,072,319,870,428,295,
821,294,304,513,799,691,998,059,465,291,307,716,562,723,075,167,175,588,402,
963,599,592,154,190,571,706,523,405,046,113,002,692,990,838,321,629,951,927,
974,192,379,843,087,283,698,452,447,937,360,802,056,695,106,375,262,562,516,
484,404,256,744,066,850,122,537,754,020,511,369,775,128,701,278,578,542,159,
540,410,851,323,251,356,191,318,106,760,952,552,301,012,826,109,423,722,504,
646,422,732,917,797,607,124,679,976,280,485,545,342,489,414,684,699,700,117,
007,311,976,881,248,496,331,218,337,653,139,471,503,238,791,778,622,485,046,
467,152,363,682,390,336,621,502,517,684,626,062,700,922,398,360,891,536,539,
371,355,197,635,391,812,955,695,739,167,589,721,230,596,621,953,855,028,775,
490,537,730,365,365,094,884,830,354,492,557,799,692,848,301,941,074,475,140,
311,569,654,246,800,227,570,118,149,406,673,734,980,392,869,626,947,609,067,
281,349,888,232,677,834,647,874,651,484,106,157,318,102,636,119,970,494,015,
331,128,781,291,282,817,924,739,504,330,572,223,934,768,605,344,786,511,555,
688,747,536,691,074,618,244,379,963,144,962,583,725,806,495,478,713,755,231,
624,451,151,503,769,054,805,450,763,375,414,989,419,319,129,560,555,971,470,
483,375,451,422,731,731,661,385,588,690,826,408,315,150,598,069,735,763,098,
295,216,982,117,019,079,078,689,632,354,908,726,285,810,094,695,549,861,024,
859,578,756,196,306,574,468,829,450,680,374,375,478,796,528,247,975,164,304,
514,049,771,645,801,150,640,500,471,205,401,926,459,419,757,840,547,657,908,
841,803,853,052,629,116,821,575,676,478,825,293,366,638,548,126,965,376,980,
926,878,494,201,848,598,698,618,129,725,045,112,150,501,618,437,533,251,820,
299,248,963,560,430,022,603,025,979,779,350,809,181,385,148,474,397,506,197,
450,361,776,830,532,980,532,981,725,347,437,998,196,543,532,350,838,243,215,
150,679,009,919,720,026,962,496,241,073,652,138,734,565,291,432,996,066,181,
717,573,606,652,479,680,612,782,896,749,210,791,620,449,079,504,270,745,602,
251,807,514,634,087,688,480,337,225,921,332,748,722,357,585,658,100,587,111,
187,129,758,533,448,608,935,373,155,505,491,277,280,281,438,948,487,051,232,
333,384,001,882,676,416,012,696,065,443,852,471,109,492,842,810,693,432,055,
082,218,856,140,453,257,269,651,738,682,072,185,369,018,926,341,869,004,588,
764,748,185,975,978,887,261,875,804,803,328,595,317,836,664,646,819,402,585,
182,173,276,403,976,837,564,537,793,074,356,418,910,191,947,886,119,997,318,
213,063,535,290,508,332,875,202,661,386,618,385,002,642,982,965,822,096,481,
446,037,380,400,678,839,587,410,380,578,365,090,798,789,097,107,670,625,291,
273,893,629,317,449,091,648,475,735,736,227,496,224,920,663,654,088,073,256,
029,279,299,409,782,745,795,759,383,017,935,287,189,035,045,017,884,473,375,
351,057,687,046,667,648,067,992,715,107,731,305,365,524,311,515,550,239,919,
886,831,017,566,147,305,561,398,404,061,120,695,978,500,015,960,877,895,286,
169,289,166,904,422,941,536,846,175,407,000,580,149,985,917,776,662,535,395,
244,713,381,758,231,728,438,684,601,281,268,582,569,707,150,660,291,345,094,
600,641,528,231,521,248,201,286,644,585,569,422,496,575,083,615,633,365,222,
009,845,317,309,535,722,807,311,898,642,943,891,222,955,824,017,034,880,420,
753,147,860,316,428,383,729,423,609,858,877,808,304,080,982,266,568,394,951,
469,390,605,052,090,893,528,052,079,977,334,208,376,388,886,124,622,691,881,
091,106,288,774,244,662,273,898,727,539,376,215,914,046,100,223,043,773,166,
442,893,771,356,105,767,796,242,902,110,832,905,972,377,897,617,833,103,954,
356,659,142,785,806,976,628,072,728,922,219,774,468,502,897,457,278,213,532,
769,007,767,664,913,892,528,604,825,768,986,342,866,589,551,291,409,506,419,
887,394,389,146,346,082,576,592,611,590,529,667,286,720,261,712,221,343,689,
731,153,886,522,808,824,140,523,081,278,522,208,704,356,600,097,336,330,169,
895,335,992,183,764,590,370,862,567,142,594,594,886,047,615,320,423,429,386,
458,273,960,950,369,086,858,043,963,860,703,367,901,618,322,673,189,829,013,
503,703,137,685,258,106,389,283,830,172,718,688,911,186,874,965,009,513,080,
479,222,482,518,428,453,760,938,924,242,660,977,880,984,390,889,758,972,127,
034,140,445,744,152,440,116,013,655,773,075,239,321,874,716,840,587,599,867,
468,215,817,472,978,941,075,186,179,032,952,015,049,466,778,473,294,615,242,
148,652,957,239,740,848,134,571,281,190,707,876,514,732,294,063,575,962,626,
673,459,301,528,759,152,744,348,813,330,515,661,287,169,419,357,797,896,320,
099,255,006,237,109,865,184,677,127,554,752,280,029,311,923,944,118,255,504,
309,059,460,514,345,470,400,792,007,341,231,907,820,439,791,706,524,009,463,
958,140,706,794,544,754,948,006,450,351,839,983,943,818,718,910,261,603,369,
404,387,686,873,245,477,148,805,242,459,711,464,071,310,901,861,087,431,966,
948,204,130,513,884,496,182,244,188,000,340,920,879,225,861,739,329,075,199,
107,169,864,470,364,831,090,705,085,290,677,741,300,526,298,449,940,726,360,
441,382,473,175,549,780,464,451,197,581,047,774,224,555,088,293,079,533,984,
824,939,797,148,773,921,146,430,206,483,635,539,875,675,218,522,465,118,195,
889,289,743,527,456,801,297,676,119,773,868,594,045,181,317,003,662,688,309,
626,064,399,438,017,238,595,940,458,740,962,072,599,903,524,551,061,398,889,
468,004,689,286,612,841,906,024,517,001,423,420,328,862,638,818,034,610,373,
692,428,577,435,350,928,709,896,545,477,257,837,795,405,304,825,840,753,541,
186,624,252,721,551,307,373,768,749,800,886,238,900,070,466,040,363,484,378,
645,749,310,793,741,335,999,024,760,000,757,673,790,364,291,680,767,907,431,
483,427,021,723,413,183,648,370,773,310,022,380,591,486,421,236,588,460,901,
965,309,769,671,794,937,231,350,669,689,805,094,003,191,354,213,006,913,450,
527,192,718,857,983,032,074,632,501,492,922,420,926,756,648,379,709,037,843,
844,305,113,639,611,569,546,014,925,656,114,282,054,803,764,850,286,388,786,
676,745,087,206,386,286,212,181,721,249,242,370,096,502,103,150,096,534,795,
582,135,590,624,355,748,042,589,883,269,683,012,500,431,625,466,302,334,358,
617,448,614,931,528,287,356,658,225,731,366,556,061,038,753,296,182,796,004,
935,468,472,137,088,512,061,871,979,209,532,877,988,175,328,312,300,529,992,
268,902,331,426,560,939,225,446,284,170,529,292,455,264,584,698,609,914,620,
312,011,292,585,296,187,091,481,612,003,466,632,602,660,590,647,047,324,391,
860,062,555,473,405,580,942,495,690,075,102,781,785,063,533,437,455,230,854,
639,457,044,488,870,202,574,849,148,805,852,175,900,716,002,813,027,008,482,
575,182,254,785,261,929,681,247,202,759,689,890,060,593,455,024,396,899,290,
712,166,247,387,531,166,168,858,645,513,954,109,094,542,191,379,659,613,440,
347,720,902,275,191,706,143,713,989,196,094,465,366,086,192,049,614,318,180,
002,114,229,739,550,291,842,052,337,431,818,775,201,417,422,091,468,571,037,
155,409,390,359,419,758,728,515,087,793,894,404,580,965,705,474,344,208,004,
464,093,053,482,917,132,062,631,626,971,128,742,224,225,763,969,839,383,803,
513,157,352,319,013,446,925,526,216,997,111,009,287,493,937,234,801,529,705,
446,907,176,181,362,942,360,867,066,143,134,079,205,199,363,839,967,848,294,
623,698,534,428,409,536,836,515,667,014,100,803,943,535,760,873,749,539,545,
087,938,028,553,126,544,617,138,202,041,016,001,535,841,488,798,074,790,506,
203,577,522,546,387,354,486,126,083,613,246,290,910,478,413,917,245,377,368,
064,073,127,831,897,155,301,391,758,631,952,844,816,453,652,815,208,055,222,
891,791,535,408,752,799,648,887,855,360,699,404,083,342,151,641,353,902,678,
120,871,783,143,680,026,530,113,653,786,174,053,024,665,577,828,841,082,110,
134,699,557,998,636,973,252,586,630,733,372,080,165,411,361,915,106,293,160,
770,014,957,818,755,135,171,773,938,500,021,457,966,448,556,099,755,921,823,
978,352,024,715,180,639,749,421,354,145,416,557,548,120,659,681,182,845,895,
738,325,687,944,893,228,753,799,198,532,340,147,270,858,735,742,806,941,408,
186,002,588,275,519,649,452,584,849,713,914,852,400,427,752,086,732,178,367,
949,158,895,731,663,648,029,317,141,596,284,013,449,535,665,514,656,613,081,
421,344,991,041,587,876,055,280,969,944,944,183,240,276,462,790,677,076,145,
699,245,548,564,521,584,931,781,859,918,759,771,823,619,734,610,558,304,891,
054,064,695,466,990,166,818,155,054,678,592,105,152,301,110,361,292,656,535,
741,436,329,234,071,378,036,811,182,332,424,384,726,980,847,171,804,689,160,
492,801,443,884,087,843,129,099,027,023,947,096,034,129,650,707,743,992,342,
077,671,774,330,648,830,076,256,581,090,641,308,216,735,670,142,282,115,961,
501,608,923,980,568,981,116,745,190,958,454,676,674,361,364,714,407,846,742,
703,835,744,744,667,957,640,529,130,657,964,994,892,826,764,753,571,370,948,
507,943,808,819,609,000,268,181,288,977,219,569,069,103,389,945,921,602,436,
356,675,426,281,258,734,257,664,270,383,089,167,764,179,803,542,113,790,609,
197,783,023,509,453,278,452,309,392,997,950,903,250,993,901,010,551,614,680,
151,424,691,554,410,798,887,125,850,244,522,905,655,584,581,805,472,709,916,
247,300,215,005,781,152,552,078,379,076,081,360,265,486,481,440,718,999,187,
338,528,119,269,023,054,451,093,243,985,148,603,584,241,441,286,057,580,881,
445,574,086,637,375,472,065,461,900,019,009,917,449,549,508,584,179,818,658,
526,306,471,082,870,766,480,378,010,274,083,555,866,356,268,638,301,002,232,
120,215,332,367,094,575,308,675,672,735,515,511,284,532,588,212,417,921,559,
874,605,877,788,669,016,975,099,926,176,133,329,904,073,385,376,898,502,697,
633,549,472,692,635,291,748,722,327,407,166,617,719,836,205,418,180,157,086,
760,754,166,233,338,437,801,219,365,707,751,282,221,013,287,263,405,082,973,
847,453,760,733,354,516,969,213,816,161,564,388,162,613,480,387,201,001,151,
761,970,335,868,262,570,967,579,827,067,443,869,928,519,169,680,000,145,415,
754,905,269,112,116,062,637,125,445,809,256,849,694,990,835,509,999,087,970,
659,563,876,535,704,827,431,317,419,350,455,808,588,898,744,213,766,940,619,
897,303,084,607,517,291,824,353,619,819,696,652,520,561,372,533,026,708,171,
487,735,889,340,803,595,252,785,079,561,480,614,924,371,840,472,689,920,796,
472,956,152,230,622,952,641,428,767,760,295,760,631,352,522,386,443,135,001,
435,618,513,485,581,817,916,259,535,776,079,592,883,445,568,123,519,227,833,
604,648,477,179,422,469,606,840,532,895,427,011,067,404,006,880,302,613,981,
849,332,080,773,173,062,448,774,255,148,158,876,446,686,578,833,977,325,387,
993,572,332,888,395,594,709,003,207,695,345,325,325,201,220,340,691,312,143,
740,246,606,137,673,318,615,188,861,419,119,734,145,376,773,103,411,782,740,
032,550,124,163,546,352,383,091,872,906,281,481,408,430,959,447,702,491,543,
250,833,174,892,680,056,941,164,332,510,196,095,302,577,021,621,460,662,505,
988,005,925,493,876,651,255,147,696,833,565,355,838,173,339,486,992,003,236,
419,218,345,147,813,768,093,316,797,098,584,980,279,279,685,570,890,080,810,
369,661,368,630,117,095,759,548,319,347,223,766,966,910,925,139,152,016,386,
283,734,404,359,525,823,601,458,493,275,499,162,062,898,939,044,410,677,517,
219,389,801,097,696,483,691,283,558,003,344,447,349,994,454,915,145,513,006,
399,591,388,626,976,462,567,894,597,380,105,113,466,454,190,672,654,868,908,
655,468,078,796,413,708,322,113,299,565,742,611,419,167,803,282,574,283,561,
014,123,828,707,250,820,860,364,362,204,164,646,546,983,821,129,789,544,750,
314,486,840,132,132,495,904,798,064,927,941,538,697,670,938,220,517,701,758,
008,667,723,199,648,635,307,862,733,537,511,696,317,778,500,214,248,843,138,
520,484,917,041,414,327,676,719,887,192,156,417,911,379,930,301,461,973,044,
892,527,879,805,984,653,431,848,716,312,167,111,380,926,764,186,662,699,079,
972,038,151,479,187,781,445,391,314,191,334,442,170,897,437,341,441,040,257,
227,020,182,470,354,536,044,335,234,702,850,742,423,484,525,781,983,858,988,
406,237,075,638,166,747,051,704,443,591,439,140,464,868,780,117,774,810,855,
141,935,761,037,278,043,479,793,590,891,241,802,678,657,377,418,193,462,633,
379,658,445,563,585,072,478,412,813,495,746,443,056,290,897,088,409,451,981,
974,300,749,913,168,669,923,644,515,637,026,513,807,281,094,586,212,532,196,
491,026,032,562,382,621,317,281,359,666,792,106,124,218,710,981,213,764,902,
195,090,910,114,917,278,460,154,408,384,057,501,712,199,493,867,018,505,969,
613,052,408,729,684,066,721,457,341,055,726,561,003,012,195,379,766,235,383,
870,214,716,395,718,708,935,497,268,825,516,681,536,942,559,950,663,824,472,
033,680,332,148,735,754,476,270,758,556,957,445,525,399,486,208,420,635,027,
335,204,021,093,183,079,620,772,905,372,665,501,724,394,910,525,122,687,497,
386,205,851,435,616,369,313,980,166,664,217,210,689,883,679,900,070,014,262,
816,287,397,985,076,107,549,088,836,682,484,034,252,782,809,913,750,247,007,
529,699,341,191,670,066,376,796,353,182,116,668,963,304,002,712,758,185,411,
527,585,862,755,223,003,676,356,778,430,410,388,269,134,704,023,977,315,787,
371,462,922,600,053,532,588,682,011,016,582,429,026,140,551,547,422,195,586,
640,251,694,599,030,210,192,744,070,591,803,050,895,230,473,848,693,414,548,
583,281,738,431,805,395,981,067,101,860,454,839,309,275,760,262,841,690,736,
121,239,808,602,425,616,033,465,836,903,492,077,536,933,351,399,728,738,091,
764,594,715,664,736,650,418,271,221,803,661,684,001,447,195,100,146,951,932,
457,260,907,055,650,288,853,385,933,426,199,100,469,196,638,111,358,325,468,
072,393,274,880,266,376,553,446,587,003,913,391,138,109,987,889,939,466,804,
369,530,937,221,786,905,071,636,755,767,126,346,332,684,808,623,552,326,603,
051,520,535,496,578,611,839,473,137,394,304,307,434,661,232,214,673,875,120,
572,847,184,143,495,694,786,253,461,091,637,372,616,844,224,187,609,708,988,
389,007,883,931,983,975,147,585,148,125,216,930,061,004,122,909,137,719,895,
883,734,341,986,015,981,233,376,588,292,251,032,258,882,353,613,407,191,633,
333,520,556,280,936,426,356,658,337,744,628,755,077,183,303,237,003,773,133,
246,530,916,240,557,850,559,249,186,342,410,917,299,989,853,404,126,873,168,
869,842,117,843,154,396,891,618,726,725,113,256,381,522,497,714,255,953,977,
069,865,054,132,535,375,780,296,952,524,733,527,066,399,958,932,260,304,928,
168,362,974,026,412,324,993,029,983,029,261,012,120,778,967,950,727,947,193,
025,995,780,988,247,359,798,138,018,844,551,579,563,332,450,383,904,919,802,
543,707,356,922,774,505,673,946,449,165,677,745,008,877,915,529,858,509,583,
655,324,138,445,754,677,779,891,249,740,539,814,106,506,960,854,690,940,214,
189,293,741,379,895,085,330,490,928,196,566,841,993,177,138,643,471,882,832,
923,099,222,585,412,553,813,758,267,054,643,851,713,697,188,627,083,072,544,
069,979,244,763,848,282,722,763,463,230,849,724,443,308,371,138,859,951,574,
595,167,543,757,730,415,401,683,765,820,921,734,678,555,463,958,406,662,742,
184,760,633,655,426,456,213,913,235,871,278,037,557,436,582,790,917,710,689,
243,765,002,717,475,124,378,262,548,059,447,346,286,054,318,963,690,861,825,
063,693,546,337,565,079,724,676,992,203,229,362,777,481,250,463,593,638,312,
121,549,817,116,327,821,966,533,545,579,292,068,167,048,801,936,624,699,009,
044,846,212,633,307,073,199,941,455,569,005,462,310,011,129,657,813,747,835,
028,229,703,033,639,861,273,733,378,504,834,199,632,486,448,806,274,758,946,
700,846,466,304,441,448,261,234,834,199,757,471,753,046,109,687,262,654,323,
211,567,490,249,593,157,828,611,281,943,590,617,682,198,992,500,789,801,488,
797,324,565,416,042,427,786,546,518,752,523,789,938,496,196,683,037,745,292,
415,325,618,626,863,709,250,917,576,567,154,204,964,151,918,530,135,831,744,
435,780,669,982,333,183,895,809,244,048,874,802,155,617,899,594,695,556,198,
551,925,571,192,192,853,531,574,270,445,641,257,071,411,812,655,266,594,182,
073,744,951,149,049,835,947,631,150,619,103,409,511,889,357,841,695,403,650,
701,212,396,188,073,094,412,657,162,873,063,563,318,445,211,264,900,553,183,
858,954,633,717,842,735,009,063,071,516,137,948,882,559,505,284,543,020,222,
924,021,116,346,910,603,779,977,749,242,026,009,508,647,657,639,413,623,905,
709,567,576,294,596,319,599,845,966,082,615,057,599,497,029,488,720,988,922,
837,935,299,687,692,692,647,596,370,566,325,063,114,402,230,665,174,434,487,
736,896,632,441,524,017,068,783,490,333,114,812,178,304,996,409,460,319,482,
076,822,252,384,578,440,098,796,260,991,222,821,172,109,630,712,924,919,316,
026,025,784,247,003,222,912,007,630,626,137,802,885,507,117,851,847,425,387,
351,539,929,097,559,183,906,791,202,278,219,984,685,675,053,154,356,484,886,
896,171,600,267,255,525,175,289,608,150,533,021,155,697,297,653,922,590,288,
905,689,417,513,559,103,475,274,994,169,058,759,953,922,102,053,829,930,331,
690,045,397,523,903,712,355,507,876,975,352,067,520,376,914,131,461,308,831,
637,289,602,416,888,504,978,175,046,640,879,540,341,789,525,665,698,249,463,
712,079,825,452,032,500,934,584,881,170,866,297,849,093,836,407,024,777,581,
834,088,115,568,556,799,864,746,486,055,998,615,297,665,009,440,545,745,028,
954,406,443,354,901,586,129,063,393,997,594,192,960,442,567,644,887,519,509,
642,578,474,032,463,238,265,396,634,436,973,981,983,812,975,312,293,219,351,
829,338,645,988,647,836,776,258,951,483,780,915,230,218,283,481,725,905,817,
674,077,837,384,047,319,487,449,744,529,408,161,619,344,305,192,600,614,832,
933,803,229,225,248,723,884,585,647,773,488,776,001,065,254,708,161,540,954,
665,297,433,131,905,838,364,722,677,593,875,200,885,530,117,729,746,321,965,
752,355,510,170,356,044,604,428,858,482,698,353,546,249,098,208,922,216,109,
667,450,680,350,313,587,271,305,630,320,021,799,701,943,294,560,921,904,896,
730,985,874,276,172,312,161,380,448,558,334,952,081,300,044,015,708,310,843,
238,576,718,991,006,320,129,694,726,267,544,077,431,849,624,082,219,373,510,
638,591,006,086,954,887,888,036,229,533,266,304,710,323,776,007,406,365,090,
274,810,009,960,339,332,843,507,317,027,174,411,314,598,969,813,508,804,560,
055,081,932,183,759,832,044,625,019,950,557,279,771,987,132,638,949,878,237,
273,523,792,398,287,535,130,362,278,233,503,568,345,026,197,579,748,180,846,
024,898,438,144,653,048,517,381,616,801,094,815,643,283,571,217,060,690,673,
452,921,372,534,642,158,751,797,969,852,858,195,777,622,477,915,442,857,138,
834,261,407,931,830,210,733,183,294,621,742,081,965,717,789,474,816,645,740,
483,769,376,296,171,016,682,397,579,590,781,373,755,001,031,653,556,736,039,
374,183,780,334,681,527,489,294,447,286,136,257,151,619,754,243,207,329,274,
878,380,890,020,228,779,899,941,237,550,349,106,447,409,681,890,051,635,572,
687,486,091,324,082,428,300,114,602,186,624,172,412,798,219,851,612,001,002,
011,382,201,625,607,391,323,083,830,568,932,525,804,970,622,896,780,921,603,
917,540,980,012,382,794,528,876,457,980,113,960,828,981,017,964,870,236,922,
572,998,103,287,443,071,865,870,397,224,425,490,282,253,610,500,818,904,976,
362,486,396,405,932,511,625,158,142,848,853,898,770,454,676,906,975,719,273,
607,346,571,495,849,602,162,036,847,720,501,626,914,589,258,963,558,751,351,
824,825,128,960,757,425,027,782,698,689,901,749,571,983,014,665,891,130,659,
295,579,283,988,506,211,491,769,319,198,728,917,561,748,436,134,979,950,021,
065,764,714,540,149,364,664,249,194,551,350,596,809,750,212,674,335,759,958,
277,771,244,361,715,238,376,929,788,130,039,765,434,267,523,039,072,065,785,
095,610,826,701,772,507,733,846,986,757,317,961,208,408,742,641,511,788,089,
245,920,091,570,599,225,958,780,560,658,172,271,847,125,950,755,037,069,588,
736,502,021,752,652,298,634,427,982,087,969,551,537,655,558,638,921,254,796,
388,426,651,232,521,669,525,688,900,387,851,975,908,230,020,545,370,281,854,
979,907,173,065,877,968,187,361,428,488,383,875,749,726,699,710,928,630,168,
272,632,205,621,879,085,671,764,520,616,384,927,440,634,801,991,670,373,286,
139,153,077,861,125,720,174,202,089,437,091,884,223,086,847,529,880,960,487,
070,823,612,737,203,634,358,367,402,672,231,148,784,107,543,792,423,068,061,
495,296,146,038,976,529,082,785,474,066,928,320,961,078,339,141,997,231,669,
544,599,419,513,882,743,801,009,520,362,687,925,284,420,006,938,903,723,288,
284,628,341,433,076,703,293,757,571,300,218,472,834,341,750,994,493,639,268,
489,739,109,341,039,772,309,004,632,715,537,077,874,508,167,820,972,134,141,
405,094,571,707,703,903,937,206,463,951,730,695,730,543,318,341,295,912,220,
683,781,414,323,529,162,382,721,532,731,131,017,445,220,637,394,741,947,420,
541,049,536,248,845,465,132,825,732,784,083,766,363,232,833,458,799,118,896,
743,198,218,627,002,259,923,919,227,488,139,468,957,927,872,299,663,391,732,
489,203,590,278,659,357,831,444,138,812,047,636,572,021,021,841,311,798,110,
572,672,367,145,183,447,190,264,887,265,574,594,233,929,000,533,257,498,920,
359,117,795,520,173,118,045,905,401,286,175,421,417,664,107,234,921,798,640,
659,057,729,264,630,694,185,808,212,727,972,707,916,372,873,231,629,860,464,
951,807,749,638,362,092,717,237,707,956,336,619,079,282,967,154,480,936,751,
300,441,759,678,903,253,593,672,878,961,593,602,417,825,494,878,585,425,524,
043,124,622,392,198,884,060,877,088,980,186,083,336,412,200,950,317,819,151,
246,187,299,758,777,162,833,063,900,775,946,424,084,462,708,426,077,391,810,
178,598,401,816,109,048,125,072,451,383,519,491,390,401,642,329,294,810,043,
474,609,965,732,829,958,382,943,254,569,810,527,662,173,766,592,210,499,849,
091,676,403,810,219,757,155,611,581,569,854,422,520,272,609,533,080,842,136,
683,700,919,615,322,841,023,932,540,238,189,731,643,360,231,200,999,663,044,
974,850,609,717,918,920,034,778,160,209,411,996,207,529,593,775,539,646,827,
610,603,664,590,728,332,418,628,977,725,427,810,027,882,256,434,795,019,135,
078,056,822,592,130,785,740,051,533,977,186,082,889,098,777,220,574,906,661,
998,253,769,689,225,562,499,723,084,405,337,032,490,397,474,210,039,320,040,
178,844,270,372,531,026,771,954,838,832,191,001,950,040,326,854,936,543,716,
231,736,191,654,093,462,942,455,235,558,980,312,053,821,105,642,799,274,810,
165,514,720,358,238,640,155,197,586,292,033,539,477,112,011,035,436,234,668,
888,231,097,621,949,189,116,853,664,732,851,621,803,418,476,758,192,193,982,
259,449,891,938,539,965,830,124,140,868,967,565,713,342,198,351,116,230,557,
306,671,491,901,059,606,789,301,182,763,184,362,559,558,390,067,926,635,924,
054,935,800,247,306,998,970,045,006,198,251,860,235,973,249,957,311,439,284,
231,321,321,238,640,508,182,270,804,442,009,120,316,440,387,138,529,010,804,
783,431,963,571,763,570,402,259,166,185,774,138,457,010,315,768,153,509,725,
509,761,894,133,634,446,281,909,022,975,191,884,632,899,836,159,172,617,579,
174,474,849,050,082,234,500,745,721,252,514,064,079,948,451,588,508,642,465,
183,375,824,894,718,065,512,477,745,595,055,145,459,300,402,860,333,160,104,
542,120,487,232,772,163,930,829,150,667,442,295,924,274,977,649,990,116,868,
224,163,086,279,564,996,579,807,745,717,847,169,630,787,741,465,074,264,096,
929,906,738,543,165,620,657,032,061,105,982,715,474,332,801,825,033,815,931,
000,519,285,449,874,168,989,168,221,961,198,197,644,268,000,618,397,088,564,
426,025,473,179,489,508,548,240,970,580,531,529,436,926,158,899,555,863,761,
345,611,857,231,320,645,891,177,691,066,554,200,585,895,722,362,686,937,397,
520,804,626,530,162,563,588,491,680,566,934,937,358,756,860,974,867,418,581,
704,304,466,317,472,495,298,586,349,060,647,681,337,409,110,849,102,666,504,
208,066,280,725,574,681,212,841,229,925,143,139,228,394,076,821,171,140,830,
435,272,822,804,121,703,239,298,222,461,292,635,918,335,454,900,095,857,364,
303,572,977,170,125,372,602,164,430,511,229,997,912,857,960,999,865,701,434,
191,059,756,144,165,987,260,608,529,549,862,646,494,493,951,398,241,145,007,
952,569,238,205,106,554,105,063,542,092,650,656,943,461,159,827,208,674,881,
253,850,275,078,249,609,401,730,893,863,724,028,817,783,417,907,471,148,812,
483,984,179,338,817,734,352,275,586,774,220,449,053,716,771,881,826,841,219,
515,072,890,112,317,069,753,457,357,074,045,255,479,966,257,702,123,187,081,
114,395,452,331,241,473,225,766,654,543,229,373,503,481,343,743,468,885,592,
042,453,890,123,600,577,524,045,588,443,283,344,870,942,031,940,581,381,281,
836,537,389,789,434,501,574,350,131,976,769,341,162,780,222,275,176,517,650,
080,472,002,642,748,982,915,360,205,955,858,001,223,946,160,264,330,295,942,
754,503,207,562,583,044,524,559,924,037,506,239,995,802,030,693,650,441,736,
917,239,976,372,064,264,422,757,340,090,982,873,612,051,323,422,870,773,515,
054,249,364,681,771,338,125,071,271,643,199,508,816,341,667,428,532,168,419,
048,747,773,977,428,327,594,562,075,324,225,776,521,410,996,960,215,303,369,
527,497,884,196,645,537,945,166,168,052,608,263,987,980,551,889,188,536,010,
358,147,418,648,223,278,078,226,263,304,465,682,952,001,567,217,095,047,717,
912,534,782,189,919,126,435,974,508,417,766,149,398,290,767,856,574,604,991,
161,628,301,252,869,773,138,393,253,090,600,020,348,497,313,146,386,271,014,
619,004,519,194,277,425,805,918,731,717,746,124,597,483,631,478,244,182,096,
004,353,127,357,991,123,070,797,172,813,501,337,908,193,500,990,379,829,404,
374,910,828,461,912,263,596,635,322,289,202,509,093,640,020,052,976,271,249,
673,847,290,459,424,581,912,265,656,522,376,792,306,579,092,066,671,451,551,
506,652,001,342,422,336,925,459,852,197,182,817,167,492,964,123,919,474,425,
412,186,442,101,627,662,124,901,339,741,368,053,485,533,895,553,472,274,047,
670,834,208,483,228,305,806,977,063,767,219,594,193,928,152,851,221,533,663,
847,366,195,632,471,374,440,392,344,381,626,301,808,707,676,080,462,888,768,
341,707,965,297,131,477,573,492,336,598,033,403,398,836,869,185,438,515,035,
822,551,628,467,687,038,093,789,782,021,623,123,824,327,617,106,829,309,610,
914,080,913,612,435,533,251,204,545,117,014,315,421,990,266,477,780,729,524,
749,815,476,436,325,565,279,670,909,248,409,030,886,299,682,972,322,125,056,
560,491,562,889,196,306,305,390,290,407,017,582,164,177,809,717,023,124,964,
968,687,276,539,642,950,579,917,864,352,172,664,712,580,722,163,898,980,878,
876,888,279,641,060,248,002,299,875,194,882,320,086,906,740,291,945,480,075,
658,662,693,202,708,959,046,350,583,338,576,306,924,996,721,989,851,350,447,
403,386,635,953,598,011,350,993,221,520,172,624,880,139,461,736,452,370,403,
292,092,915,528,001,117,118,144,198,519,587,548,414,797,603,295,471,498,443,
862,214,277,164,390,076,932,957,680,476,400,289,420,691,155,611,106,738,275,
397,946,188,665,643,184,445,827,664,376,985,268,326,635,970,341,137,254,681,
860,361,592,343,592,671,021,728,284,878,865,919,390,140,135,681,065,081,426,
183,436,418,096,458,770,834,182,389,882,493,236,391,522,880,061,731,839,199,
351,462,706,386,726,301,646,528,682,387,060,277,018,378,409,336,136,846,386,
005,958,025,020,916,735,265,630,419,354,377,073,594,532,599,300,305,389,326,
250,526,956,504,939,742,752,464,225,914,561,748,242,786,520,438,080,730,813,
492,433,226,708,864,619,844,528,929,589,789,430,253,427,862,867,500,535,733,
631,011,797,140,422,049,155,640,574,725,782,934,510,415,241,673,120,877,463,
402,414,002,078,185,020,068,926,851,086,106,210,029,733,362,434,767,400,413,
594,165,201,055,695,113,034,524,569,587,508,622,056,195,109,606,739,896,306,
226,915,313,925,673,778,550,191,967,359,614,993,440,749,282,416,210,595,243,
815,046,218,245,590,197,392,829,939,748,367,738,765,738,312,961,036,628,690,
046,523,524,747,089,501,516,032,451,565,312,405,951,351,377,957,692,320,467,
854,331,817,404,268,638,662,416,221,585,026,342,698,166,333,828,657,903,146,
551,388,743,564,735,373,947,514,756,695,393,401,458,474,873,024,564,707,267,
664,632,362,271,637,767,129,790,352,313,208,281,238,542,822,289,530,925,154,
471,402,003,603,578,384,237,630,813,842,723,682,761,077,153,221,925,084,840,
942,885,528,797,909,297,270,897,567,914,623,913,564,689,567,598,968,574,357,
299,022,062,207,083,541,434,636,368,708,950,949,066,313,926,080,063,781,034,
013,363,841,409,093,062,507,093,828,177,992,508,878,614,855,076,361,818,853,
956,054,901,004,277,619,871,387,632,426,471,245,334,109,694,556,405,610,261,
353,750,351,291,695,838,248,538,115,525,291,218,758,991,518,513,734,603,698,
811,694,751,714,212,883,455,817,509,541,950,026,681,374,191,444,711,869,407,
975,095,993,226,797,291,987,602,988,354,022,841,616,726,012,994,176,732,986,
866,511,924,233,594,266,136,496,363,598,947,989,065,988,517,804,415,077,185,
391,329,906,276,198,986,623,419,497,926,879,894,002,532,282,991,596,515,684,
849,606,199,130,889,383,253,574,725,669,084,893,881,882,890,267,508,419,356,
510,208,636,874,644,304,473,273,473,514,720,588,123,592,868,882,186,364,492,
738,832,086,785,117,545,244,205,553,535,252,025,939,612,615,548,608,761,136,
461,094,738,908,438,425,820,879,729,101,875,228,139,243,270,062,284,568,025,
188,401,983,816,072,475,986,888,131,656,724,581,297,796,447,380,093,401,374,
927,233,105,202,070,965,014,791,293,423,552,982,071,446,595,175,690,739,599,
591,000,315,191,502,267,833,238,164,697,116,961,682,246,146,282,225,881,953,
720,922,980,411,362,722,592,337,321,037,956,653,143,967,507,887,103,708,631,
803,017,206,459,093,274,573,377,494,791,149,066,414,927,013,621,834,862,041,
327,351,329,941,799,427,997,900,458,575,575,353,774,162,164,892,428,161,128,
427,900,589,811,194,507,313,397,466,063,971,493,242,662,527,138,862,359,763,
210,849,285,226,488,750,380,133,374,499,784,549,334,751,503,021,863,555,322,
995,115,296,730,019,234,435,194,588,065,516,973,341,206,301,867,025,856,003,
884,743,003,699,931,888,382,638,842,249,057,807,636,300,033,367,239,986,107,
211,829,367,686,026,368,092,241,483,804,120,481,246,320,362,652,223,467,291,
435,112,194,270,482,219,359,492,470,742,799,533,479,181,933,840,520,662,218,
569,577,634,636,291,066,875,159,333,895,516,691,838,804,491,934,176,188,347,
895,251,426,462,220,467,704,537,118,148,473,463,003,716,022,113,783,849,362,
603,264,514,283,237,543,234,633,447,093,208,925,793,054,943,715,113,722,083,
190,662,313,712,489,595,331,990,482,675,990,899,650,245,213,680,517,487,697,
039,978,976,454,642,110,485,959,224,444,180,849,262,416,181,075,100,111,919,
598,441,383,408,220,333,555,425,538,506,000,107,909,502,121,145,621,509,683,
056,097,042,099,929,809,864,384,363,207,271,620,036,643,358,808,316,758,079,
805,393,296,586,614,816,652,885,669,538,766,145,470,754,562,436,348,193,233,
741,406,769,432,776,075,743,130,508,127,802,914,473,578,787,059,266,248,332,
283,279,605,728,570,280,893,229,147,276,936,224,019,093,188,735,077,784,455,
878,047,970,788,631,067,202,632,381,834,443,633,120,964,134,128,790,162,205,
603,163,579,707,490,963,040,783,633,862,564,432,142,866,923,767,422,736,753,
890,806,310,040,850,854,323,570,491,331,747,687,718,276,359,853,562,553,418,
155,924,593,120,827,624,505,017,498,840,034,615,135,366,526,142,924,193,791