The decimal value of this prime was computed with calc and the English name was computed with number.
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1,274,116,830,300,933,674,335,542,151,767,349,
261,473,654,097,103,905,333,678,993,048,688,924,384,783,472,596,446,989,025,
955,854,374,977,562,651,381,258,396,790,857,258,253,859,224,392,680,000,808,
674,160,981,020,097,404,959,406,992,289,933,964,500,797,097,558,886,951,121,
261,112,197,574,613,989,548,588,309,373,506,869,853,503,103,913,186,808,577,
537,502,622,865,426,416,567,030,749,613,835,540,731,585,715,879,562,523,557,
340,327,992,409,054,146,676,883,636,305,678,742,926,584,661,074,618,342,737,
186,850,635,344,195,876,893,667,938,111,954,127,428,437,561,811,796,092,690,
611,998,598,801,686,521,287,802,236,894,158,657,676,807,076,941,995,086,875,
368,513,517,646,324,346,217,190,307,660,117,979,347,050,080,332,463,903,120,
037,525,219,926,294,047,194,839,776,817,743,305,340,722,112,269,716,066,491,
603,344,271,404,340,688,386,497,676,848,775,211,842,364,539,117,748,137,965,
163,129,589,185,163,672,375,304,780,226,801,515,693,118,031,221,715,785,994,
824,241,916,986,784,821,063,252,321,655,656,739,590,638,048,332,952,462,383,
414,952,369,765,547,116,733,474,905,633,921,927,954,543,741,857,420,876,364,
725,991,102,603,343,741,049,914,238,917,722,621,949,157,798,924,483,656,032,
040,861,522,050,836,843,395,151,128,211,557,213,491,641,145,798,934,844,363,
090,471,311,847,663,624,960,147,370,579,083,159,786,829,189,350,410,569,719,
242,710,666,417,286,756,390,127,105,859,311,210,429,264,017,319,927,211,828,
291,848,610,247,460,740,928,030,349,291,393,932,177,311,659,882,511,642,263,
704,768,737,255,685,127,072,743,648,648,259,461,981,754,052,674,744,505,056,
879,184,578,984,076,492,523,420,566,221,231,596,530,849,594,967,065,996,622,
026,920,924,988,052,301,641,604,599,254,793,563,221,645,459,577,618,296,862,
712,153,115,371,966,267,344,018,216,041,403,682,259,987,584,388,704,969,915,
206,600,412,620,619,323,178,200,193,000,523,926,402,863,240,495,301,055,488,
782,170,950,097,973,294,845,927,146,052,473,549,899,426,297,134,102,556,319,
622,805,953,925,204,186,461,140,271,991,674,419,292,884,694,682,138,783,691,
805,798,757,382,484,523,863,437,103,532,954,911,076,384,402,463,515,567,025,
565,751,385,119,574,648,544,059,286,724,500,962,912,845,856,043,307,481,511,
321,424,263,262,656,605,049,455,700,801,598,463,167,401,064,872,665,218,767,
334,108,552,861,723,092,086,066,787,569,436,688,477,689,269,862,897,655,311,
702,149,801,498,640,056,304,919,717,756,504,555,637,153,560,898,783,558,461,
276,425,493,140,282,939,729,650,205,250,979,181,326,277,048,404,858,572,011,
159,305,665,904,040,411,233,269,596,551,947,649,469,506,547,667,676,247,920,
744,938,152,610,886,410,682,778,706,379,596,988,317,817,425,830,694,560,581,
144,779,409,895,238,362,898,039,014,101,335,083,546,715,071,185,471,031,855,
037,885,298,440,162,936,037,124,338,050,449,788,961,175,646,344,076,717,721,
947,345,826,848,222,320,089,276,717,271,270,442,953,783,906,897,346,507,500,
123,591,368,161,735,313,731,379,015,537,135,182,181,991,038,046,521,691,527,
842,842,515,853,913,471,659,589,084,607,350,586,082,870,085,664,009,328,851,
520,660,878,151,668,512,027,399,324,745,182,940,181,204,456,906,810,080,649,
173,988,375,048,360,963,175,712,801,848,421,094,560,826,226,635,968,635,499,
123,059,509,581,345,949,939,112,986,402,399,988,678,537,719,233,678,961,786,
110,029,073,498,586,099,966,160,909,827,693,423,791,172,127,861,570,510,164,
615,461,864,565,656,660,791,908,010,341,626,802,970,325,628,449,022,587,621,
694,798,870,584,488,502,216,549,077,857,700,839,658,428,550,089,168,175,325,
786,849,995,142,622,596,996,371,718,500,444,578,549,178,955,714,271,458,128,
782,468,858,762,737,771,202,972,691,240,487,600,326,566,156,205,251,058,083,
723,980,062,531,120,688,248,780,311,802,767,526,456,803,058,397,467,421,490,
574,184,763,884,944,352,223,119,468,855,773,493,748,699,737,024,389,334,891,
409,378,204,113,124,256,313,866,523,916,388,530,052,242,025,042,526,863,644,
233,521,090,362,802,378,199,702,992,652,401,421,271,688,635,973,803,653,086,
212,811,097,069,275,582,276,670,075,450,083,759,623,178,122,740,727,383,051,
722,070,091,648,376,904,218,857,133,250,775,934,338,104,396,622,814,491,758,
825,704,964,518,836,774,855,210,464,488,580,021,640,716,305,481,601,036,156,
604,224,418,824,182,620,711,453,051,975,100,612,897,622,575,836,071,501,170,
086,918,961,494,198,810,530,440,821,068,243,632,472,384,619,239,839,265,789,
108,513,551,181,102,851,303,438,528,009,885,612,666,126,155,103,150,052,207,
801,682,547,231,158,521,305,890,376,455,548,287,736,775,400,755,690,985,216,
008,667,652,266,991,606,063,208,507,221,691,256,898,489,258,163,452,830,400,
223,453,944,136,257,658,698,461,497,124,301,210,122,641,354,202,672,210,053,
470,627,174,956,409,407,909,336,778,415,711,676,054,948,813,929,896,287,163,
154,997,252,816,062,285,382,314,020,570,241,234,817,816,920,528,587,966,282,
947,669,898,953,541,981,538,573,863,897,363,217,983,482,460,372,532,393,398,
898,359,679,423,182,498,172,731,698,962,037,228,786,536,764,590,960,522,554,
242,793,155,988,403,342,888,236,252,832,667,471,859,599,486,602,295,418,983,
041,560,155,814,817,639,762,290,307,459,332,933,401,213,374,520,057,071,172,
718,171,979,716,190,478,617,613,029,101,827,425,739,108,947,482,427,333,295,
216,834,862,140,500,784,362,084,958,150,772,062,925,090,389,140,831,804,255,
701,937,650,378,061,177,568,050,198,168,661,705,420,971,129,001,903,349,969,
052,292,078,480,293,356,088,818,160,751,834,878,124,530,025,694,984,691,634,
293,748,128,944,721,734,553,210,198,979,161,599,889,764,754,166,149,973,101,
683,176,186,168,311,040,544,131,708,235,778,905,072,795,573,088,784,930,742,
535,448,588,719,995,333,037,850,528,911,522,482,027,621,489,861,535,034,324,
066,476,036,186,019,880,416,390,926,477,831,285,161,937,652,619,151,382,078,
523,948,595,656,116,365,375,571,858,951,343,373,040,630,763,913,006,859,507,
644,066,780,694,672,845,998,023,838,461,172,588,783,440,373,333,579,743,337,
091,375,582,483,354,878,358,101,514,611,572,799,008,137,553,311,514,332,637,
623,746,626,353,307,705,583,503,781,795,685,732,776,587,706,828,367,126,602,
808,292,204,182,852,552,872,028,065,025,175,873,874,837,792,768,004,955,838,
394,846,172,236,937,613,574,902,643,006,693,051,674,513,497,872,254,557,147,
380,791,207,120,972,259,952,060,845,153,089,677,662,861,236,006,140,499,175,
424,671,251,703,222,619,235,639,039,688,743,695,832,666,165,406,368,834,266,
954,457,275,397,594,640,929,289,762,872,085,098,222,304,569,276,151,457,182,
927,233,605,453,573,456,986,914,567,139,853,353,062,350,225,194,219,575,723,
287,133,348,600,389,396,569,776,007,055,316,488,934,735,425,481,583,003,797,
432,551,560,070,412,141,444,786,189,965,933,854,804,241,918,688,574,174,570,
024,337,299,970,733,681,458,842,888,782,668,349,374,491,428,297,835,606,488,
919,963,854,667,505,438,665,222,786,768,544,556,950,784,500,671,587,091,448,
106,496,956,347,130,588,706,967,221,827,876,343,056,894,388,375,579,853,097,
610,928,768,820,131,546,973,196,080,257,424,070,380,974,593,438,381,010,155,
690,160,113,810,355,613,825,711,456,700,421,889,369,784,191,117,381,053,941,
314,233,677,543,622,080,571,219,532,366,992,208,239,367,089,264,194,146,265,
408,025,811,452,663,883,879,681,506,582,923,346,480,468,232,293,992,802,381,
523,215,629,541,517,813,928,815,975,094,207,464,103,330,472,696,364,087,019,
594,646,705,063,644,027,637,923,311,917,595,608,552,805,079,055,080,222,498,
887,330,897,517,169,916,929,610,418,060,734,724,089,468,834,229,666,054,826,
562,132,236,994,067,516,853,585,157,109,895,906,968,524,219,282,764,424,539,
374,793,757,214,476,455,047,877,815,813,466,406,917,429,571,432,282,116,906,
021,001,133,591,877,840,100,378,118,894,900,072,435,504,937,472,206,745,231,
797,079,294,962,304,245,765,627,279,112,916,491,247,809,485,176,061,392,504,
459,170,322,288,948,917,847,387,069,299,973,167,822,709,566,508,066,616,732,
425,527,771,474,116,658,464,370,620,071,817,680,022,582,221,345,082,115,189,
822,166,467,621,840,199,058,514,187,495,742,919,195,604,137,678,774,581,666,
919,506,074,702,966,502,082,618,894,136,750,905,357,854,732,721,138,890,779,
475,808,378,655,216,034,720,750,904,976,845,218,424,323,312,146,782,570,369,
539,627,394,168,570,589,412,100,569,988,337,840,693,026,447,349,170,195,379,
485,662,392,432,468,819,443,461,612,535,742,798,257,813,909,700,445,287,624,
336,983,794,088,578,753,784,027,137,207,273,173,532,374,534,402,895,500,031,
079,472,148,457,112,770,621,514,295,347,754,728,723,909,577,243,843,607,187,
133,729,087,607,168,378,888,651,345,812,764,792,647,925,785,661,162,819,663,
705,829,532,184,284,844,889,197,781,933,351,677,251,594,186,510,685,304,915,
105,408,261,432,628,670,662,445,997,184,026,644,821,198,899,477,281,371,106,
879,589,738,560,907,064,375,749,220,289,449,921,636,612,614,650,011,461,423,
691,553,107,788,682,883,351,777,993,504,297,343,080,980,633,065,416,613,867,
476,016,304,237,825,222,313,906,427,017,765,543,121,594,527,127,205,552,966,
192,629,727,840,820,991,040,956,202,874,694,488,649,087,075,781,922,784,272,
848,614,452,519,656,425,021,961,664,202,256,481,493,191,547,655,078,701,004,
036,690,359,397,459,631,749,320,816,501,790,023,467,698,957,752,594,439,647,
943,748,245,275,419,799,433,401,223,451,967,650,399,487,000,648,562,859,161,
186,855,917,475,783,978,983,293,570,492,585,917,204,468,197,033,222,199,717,
925,062,687,143,057,009,390,842,676,700,589,869,246,196,229,720,889,609,430,
799,454,350,751,502,874,404,971,641,525,487,631,222,082,762,799,395,067,373,
269,845,031,177,585,452,179,004,186,240,969,854,896,910,201,316,148,976,269,
801,541,035,049,755,074,751,440,712,853,670,119,866,246,191,550,886,375,912,
960,763,716,645,076,932,740,320,602,970,192,363,089,011,738,587,163,865,658,
224,757,834,461,515,335,529,815,123,163,546,622,793,743,678,856,141,033,373,
065,216,877,026,364,564,467,018,482,534,079,264,145,710,433,319,422,456,079,
113,276,801,070,991,061,987,898,784,430,036,456,532,294,982,383,345,275,811,
806,042,516,558,941,111,294,862,094,989,675,378,685,990,058,496,737,703,460,
625,482,012,272,648,398,751,630,931,582,842,881,278,584,664,362,646,188,112,
799,002,254,827,409,146,182,831,508,858,302,399,288,419,659,624,046,967,273,
843,330,717,319,925,392,666,784,197,183,690,865,553,361,386,418,055,042,700,
025,633,715,237,805,092,585,751,365,648,559,503,036,878,978,052,787,585,904,
259,763,363,875,716,005,679,256,809,239,442,631,322,684,393,991,451,516,780,
753,066,066,372,944,040,614,232,365,246,737,867,341,152,388,586,054,696,522,
239,181,879,953,203,436,606,299,014,385,330,296,941,558,709,909,954,148,948,
610,700,362,197,512,398,146,526,104,691,510,879,448,577,275,209,918,903,109,
896,946,897,119,385,717,539,763,238,461,372,370,004,338,343,206,779,029,077,
948,884,582,555,945,288,678,348,107,114,870,203,593,563,570,996,055,824,106,
578,705,601,585,716,297,944,929,735,209,659,910,890,864,783,381,440,628,985,
668,353,432,809,634,103,839,860,351,734,734,795,140,462,197,138,150,895,422,
373,885,761,983,625,490,380,312,108,993,896,382,813,531,996,563,636,825,867,
072,044,555,833,005,600,935,985,428,838,618,435,818,260,884,984,164,530,439,
892,589,683,095,131,927,250,103,594,745,376,881,009,326,819,181,618,213,425,
259,117,503,129,488,880,879,935,357,864,384,734,998,803,323,169,657,055,610,
533,878,300,223,611,269,380,647,821,087,516,070,905,839,061,707,198,210,277,
866,812,368,949,564,881,311,734,306,746,204,602,958,203,872,216,748,313,199,
973,594,032,363,917,034,551,601,733,800,394,174,590,337,216,994,487,441,606,
226,371,181,496,842,154,123,941,849,173,583,923,049,050,113,562,918,552,127,
476,891,160,545,262,277,916,515,042,193,246,540,668,860,824,186,946,596,028,
607,165,666,817,029,098,320,701,214,135,318,624,510,322,134,605,626,167,184,
795,062,077,127,631,790,162,100,199,873,662,021,780,987,703,823,371,823,435,
900,178,501,746,506,486,560,520,584,438,401,040,573,309,128,406,050,739,366,
777,450,828,130,752,586,003,504,204,413,229,544,451,817,590,653,169,218,334,
348,851,895,486,207,253,884,201,000,198,377,394,918,702,391,418,176,173,866,
149,432,762,215,704,179,838,262,912,573,279,178,913,795,421,741,727,448,052,
820,876,921,315,120,187,533,314,887,115,519,414,313,360,699,347,675,525,888,
873,474,487,908,504,370,642,385,667,017,792,628,316,425,167,632,831,737,144,
694,966,810,872,995,626,911,295,966,187,506,267,265,087,483,417,475,797,274,
900,914,697,947,403,886,958,288,319,101,296,536,158,859,480,975,900,782,603,
289,284,792,098,891,344,422,144,201,832,557,866,923,622,527,664,284,574,990,
798,073,552,685,335,741,832,280,806,041,722,929,560,603,905,876,474,102,472,
197,605,379,980,710,161,454,832,032,067,007,691,680,033,149,654,480,488,056,
171,813,732,654,882,774,800,064,218,179,024,036,782,365,873,491,366,193,076,
482,670,914,077,356,191,491,744,304,303,308,574,573,119,991,861,310,215,369,
041,126,520,508,320,868,872,387,775,011,049,024,661,018,311,104,037,354,920,
241,505,606,665,552,224,532,577,881,593,938,833,261,229,554,860,488,098,311,
191,012,181,194,243,986,161,690,567,388,367,766,705,426,473,371,025,798,731,
206,214,161,543,429,015,358,972,662,574,521,386,473,485,399,413,190,700,405,
751,490,232,743,735,903,436,998,230,546,735,805,613,174,335,999,924,643,935,
880,100,451,775,541,243,298,487,037,391,322,317,498,202,106,604,348,148,474,
612,480,611,590,807,561,715,589,181,544,483,221,409,071,561,214,898,185,441,
838,128,867,214,372,620,737,678,278,107,445,088,144,837,543,752,561,994,912,
334,277,079,470,475,153,059,635,387,302,693,401,137,377,302,257,475,188,398,
686,746,442,105,512,029,202,548,384,249,354,561,517,785,434,813,405,811,172,
671,310,559,587,668,454,735,189,281,117,189,514,623,308,961,925,845,331,475,
298,939,808,759,051,368,831,619,912,037,047,597,788,437,268,194,316,392,161,
166,087,385,248,833,283,605,964,986,678,560,076,943,760,178,867,005,156,064,
760,129,245,457,282,372,094,936,800,107,257,216,857,582,988,293,511,013,991,
062,114,542,420,022,267,090,452,723,634,703,545,986,235,386,345,829,969,953,
649,633,661,379,752,028,356,238,169,069,551,658,520,505,167,346,850,231,253,
734,059,374,855,479,374,582,819,447,785,704,059,671,938,178,520,317,500,989,
924,111,622,649,024,716,854,460,011,533,177,358,632,859,873,658,433,831,520,
765,924,273,713,561,615,661,180,350,795,032,141,905,986,442,853,607,730,381,
134,885,953,001,881,397,072,637,816,522,282,420,239,812,029,826,649,289,502,
684,066,830,526,019,739,680,008,522,031,529,521,370,257,814,641,533,252,872,
714,110,507,740,413,907,749,318,952,417,661,350,019,004,720,217,192,376,748,
256,399,172,852,409,281,692,239,905,621,490,037,510,419,036,206,470,082,383,
031,195,068,053,096,688,172,583,886,361,945,461,968,136,138,540,765,374,665,
158,052,712,170,775,273,989,768,175,717,921,519,454,407,315,368,678,149,281,
745,640,397,797,641,335,549,367,897,291,801,524,689,685,464,621,826,175,379,
231,729,301,367,930,068,482,424,497,744,029,249,014,652,264,166,122,926,550,
193,778,056,665,521,052,692,948,580,692,080,317,109,394,177,001,120,979,972,
176,252,912,572,424,075,037,618,800,402,604,002,102,568,838,494,184,105,765,
780,888,579,643,798,054,296,585,621,084,943,998,620,182,883,724,160,047,096,
054,476,008,261,727,705,206,904,056,815,931,017,738,358,414,121,725,723,075,
847,953,863,160,777,212,270,233,666,379,530,638,546,642,957,639,304,585,412,
200,335,098,667,186,661,164,691,829,495,753,133,508,874,472,375,246,552,807,
809,979,926,538,418,308,191,391,515,132,239,004,872,838,134,819,417,939,044,
977,690,909,847,774,061,121,216,508,752,039,285,456,941,496,099,758,913,249,
197,969,322,337,012,954,744,946,391,613,577,423,854,154,415,535,467,059,752,
275,095,267,206,785,311,203,645,534,533,035,460,814,457,178,197,857,598,156,
715,439,749,458,695,582,090,158,552,624,040,138,434,135,827,419,200,564,118,
260,270,849,933,802,305,735,738,118,875,477,719,266,666,377,831,264,843,123,
277,080,395,156,403,352,794,843,610,408,212,105,535,995,956,102,417,746,014,
588,946,660,969,918,369,364,048,557,900,462,180,479,390,923,275,590,073,778,
768,714,265,176,062,361,931,741,923,960,237,517,454,643,332,691,237,042,466,
125,637,352,515,276,215,657,849,828,064,331,486,039,000,964,143,261,893,810,
343,787,903,771,077,671,894,914,316,430,902,307,096,131,725,108,653,149,806,
885,751,819,570,517,140,062,051,684,483,871,413,407,995,686,020,944,914,719,
125,858,129,480,350,198,058,537,443,017,714,360,082,631,530,793,571,160,298,
748,577,635,405,767,118,745,274,326,026,582,967,072,546,254,291,108,772,144,
101,084,269,310,644,839,111,138,803,176,525,319,254,165,799,021,627,943,526,
811,427,062,008,651,075,114,298,030,635,663,365,645,481,937,630,476,531,238,
791,665,562,453,727,703,985,185,639,846,468,708,565,497,543,455,801,005,119,
033,306,885,955,303,855,536,859,068,187,874,621,216,664,862,967,422,019,528,
291,656,992,812,064,563,143,253,452,595,647,704,164,454,829,200,322,608,844,
843,082,441,057,650,085,809,553,964,762,166,503,737,342,863,121,128,054,139,
305,452,049,810,541,714,223,210,667,950,608,309,896,636,152,446,418,071,221,
970,270,743,513,226,388,452,568,056,581,094,617,732,788,222,594,074,655,267,
550,160,989,001,413,662,702,939,779,245,636,217,438,631,755,349,542,820,422,
344,183,268,808,555,732,238,006,260,897,527,563,641,070,715,248,175,372,973,
459,272,700,111,747,096,853,190,119,827,516,597,526,355,599,308,108,541,533,
125,062,807,699,559,845,724,461,984,808,409,558,976,173,109,535,615,860,113,
523,949,216,767,147,197,954,794,099,091,407,393,368,210,540,961,998,519,902,
684,591,068,174,085,184,420,726,504,698,480,931,266,184,447,818,838,821,671,
252,330,408,348,971,983,281,789,870,132,682,997,435,029,197,494,347,760,659,
092,407,866,935,944,458,982,831,288,583,421,111,309,162,051,556,689,633,191,
816,792,181,958,446,538,411,574,698,894,380,874,779,314,903,774,874,107,194,
443,799,686,360,672,464,127,919,998,953,596,184,011,045,130,593,360,866,657,
977,223,564,570,380,091,212,736,128,856,096,910,505,487,412,803,837,292,213,
868,418,753,168,681,072,248,138,549,294,947,148,699,493,841,673,276,370,056,
968,351,305,500,296,825,304,491,549,631,820,632,663,533,140,273,118,073,788,
485,629,713,274,355,348,442,927,812,968,468,793,312,548,078,842,219,703,366,
165,301,863,640,609,088,358,395,993,921,433,181,773,887,472,042,794,754,428,
282,484,663,393,803,839,893,896,539,724,855,469,579,518,216,582,032,931,954,
601,397,580,540,172,329,875,132,124,883,168,712,059,659,877,234,608,387,329,
586,744,050,232,496,640,231,189,729,034,485,879,517,289,904,344,001,848,910,
878,416,248,880,606,296,124,224,612,771,747,298,125,602,786,110,081,279,080,
522,342,350,535,396,508,558,518,282,873,374,384,971,581,888,336,020,313,329,
578,223,603,366,664,765,650,933,415,833,611,238,576,612,179,157,609,391,774,
265,488,594,758,709,106,009,009,638,811,351,238,109,315,318,354,127,239,453,
471,647,047,207,358,018,534,883,947,136,579,890,558,918,967,039,845,340,869,
921,472,365,001,668,215,948,841,350,945,397,987,160,687,453,432,499,909,393,
153,501,172,387,414,498,250,853,795,410,663,982,483,891,087,134,557,699,999,
395,771,382,389,190,472,931,509,183,281,076,089,293,484,223,350,441,558,077,
828,183,324,585,896,348,878,271,851,657,596,872,894,626,795,235,369,441,716,
590,430,883,605,714,519,409,522,576,186,863,159,098,674,013,766,952,766,920,
140,958,511,834,963,735,546,078,725,219,159,911,051,079,594,761,263,019,548,
785,589,892,130,114,941,821,389,899,733,686,845,824,743,256,591,458,938,080,
917,461,716,283,103,209,814,034,400,446,990,239,940,355,297,682,181,855,293,
342,596,042,106,887,908,686,545,905,838,607,923,094,534,371,464,164,372,938,
346,496,021,137,443,274,007,934,797,946,028,196,374,622,894,596,268,616,018,
122,248,659,652,730,536,489,970,654,443,693,487,222,753,393,860,879,026,668,
839,355,840,473,424,512,810,804,212,202,896,972,618,238,438,694,050,419,467,
439,863,691,399,713,463,306,160,164,968,343,840,489,999,037,532,464,324,294,
227,770,072,003,370,722,397,188,688,204,880,753,774,336,864,758,162,295,570,
386,621,911,604,893,053,031,636,878,927,108,598,286,672,318,114,650,486,572,
803,962,514,825,820,525,283,770,295,175,945,117,463,545,893,772,048,532,563,
771,709,458,175,944,790,352,308,402,801,467,029,235,219,352,154,145,309,876,
940,723,705,683,459,411,277,292,238,901,067,918,552,456,042,677,330,303,644,
435,261,725,468,525,753,502,056,477,855,503,600,957,093,150,429,377,152,856,
784,669,390,133,272,853,724,759,660,479,495,597,901,965,114,114,204,463,337,
732,876,493,369,221,169,103,960,806,607,454,579,891,001,707,133,516,937,066,
610,045,271,219,135,346,723,767,948,652,298,691,147,471,870,984,117,016,218,
340,053,486,128,935,724,518,188,535,243,773,633,885,580,096,466,430,323,860,
754,539,835,997,110,642,253,943,519,235,211,205,754,624,647,961,365,092,677,
318,782,248,872,505,705,496,169,733,465,800,922,709,327,431,290,387,253,405,
281,495,268,512,051,157,742,217,353,151,575,760,194,737,613,318,609,469,377,
647,169,359,264,573,421,586,875,934,841,155,636,199,431,898,640,846,770,035,
655,260,179,842,075,223,329,658,668,086,576,803,603,472,416,046,024,950,224,
613,958,447,445,162,367,422,601,521,318,895,276,483,810,217,399,236,318,699,
004,596,788,954,242,937,338,475,116,720,522,599,362,011,989,531,979,766,366,
528,985,527,310,002,642,941,386,711,599,518,320,285,226,275,265,582,552,298,
374,175,921,080,890,412,865,637,711,473,039,653,477,922,273,669,334,291,735,
058,027,631,391,957,077,744,573,288,864,906,620,519,444,979,119,901,596,614,
820,975,739,566,055,665,357,457,175,339,026,734,408,128,454,871,188,949,249,
755,763,220,740,356,732,638,325,140,042,463,169,498,570,542,802,724,135,165,
371,718,940,251,023,242,682,076,426,705,373,271,974,651,539,733,169,068,027,
566,567,745,893,091,876,350,825,278,393,649,446,697,923,199,330,279,345,679,
476,595,118,101,102,065,339,080,484,732,782,420,296,593,250,669,994,290,499,
419,106,783,095,828,758,045,968,526,100,386,025,315,648,570,888,796,826,540,
945,426,353,669,333,510,974,749,460,040,132,200,235,756,465,574,095,157,523,
496,777,236,497,739,548,126,479,971,881,177,722,204,731,111,641,593,586,413,
515,742,756,208,970,252,302,739,113,701,771,599,525,502,295,326,198,095,211,
347,789,447,028,792,405,267,796,807,616,457,637,082,843,215,408,657,565,141,
498,134,193,795,098,325,433,274,748,675,024,193,438,183,623,263,921,406,467,
767,214,485,266,177,955,411,403,161,154,135,708,248,761,505,760,767,623,952,
487,029,127,373,644,871,713,912,962,559,286,791,862,472,370,999,468,541,939,
527,283,720,906,142,798,668,555,944,619,074,704,491,906,137,420,960,055,670,
442,350,702,724,018,008,423,603,624,758,815,433,158,889,739,397,715,438,826,
354,064,729,494,998,940,059,456,931,231,006,008,275,915,791,107,805,399,102,
261,437,720,621,771,727,809,707,924,041,830,303,977,958,606,590,408,906,037,
301,736,098,658,274,208,796,848,950,785,500,867,083,996,213,137,861,011,609,
453,186,751,179,373,297,326,180,609,042,795,318,761,580,031,032,391,195,486,
112,265,261,953,250,948,630,922,469,889,403,807,102,796,866,771,035,241,230,
136,658,684,958,803,321,390,515,517,061,521,357,401,748,367,345,680,854,117,
629,995,171,376,012,821,674,607,870,949,995,947,863,775,459,640,940,515,654,
053,589,710,177,595,350,529,698,177,452,209,898,173,796,971,591,204,538,341,
938,847,411,361,398,307,407,818,765,878,178,357,580,201,342,424,502,668,833,
107,298,778,033,145,552,621,363,083,532,202,405,221,107,050,084,170,330,105,
112,631,425,219,231,898,343,362,402,864,568,259,427,129,005,611,134,725,083,
822,435,220,194,187,450,035,018,172,919,113,910,657,354,281,831,947,833,144,
299,780,184,237,850,565,940,082,516,940,918,766,626,286,391,880,872,170,433,
696,696,708,957,039,837,174,345,771,358,377,093,554,976,060,705,113,699,069,
342,726,815,989,631,532,113,246,807,321,447,171,009,427,777,919,993,980,933,
154,870,655,317,673,555,475,796,117,141,464,658,760,315,817,709,183,004,726,
888,433,880,739,002,457,437,820,481,693,552,526,974,357,056,978,119,459,164,
529,870,516,679,355,966,272,768,420,564,879,954,478,914,173,370,075,854,779,
419,371,966,924,705,375,384,884,340,026,025,740,353,339,999,152,929,356,812,
672,292,194,753,602,790,557,712,784,227,689,208,715,109,623,989,230,049,765,
508,525,040,642,928,739,729,600,935,675,307,919,471,920,592,291,997,874,793,
432,340,132,394,768,304,272,076,317,618,668,197,346,192,003,007,261,175,566,
020,129,343,366,101,850,277,675,835,728,221,553,770,018,807,959,490,987,016,
678,349,239,715,645,030,583,288,347,428,948,025,686,285,228,084,114,408,784,
081,012,060,526,669,482,978,098,348,916,593,349,209,226,121,879,502,620,295,
347,142,326,051,182,823,596,131,267,421,914,587,457,304,166,357,670,220,093,
323,562,501,986,973,807,912,860,280,466,786,415,472,749,839,380,916,331,034,
200,716,595,766,969,495,773,990,086,742,785,898,504,097,773,664,647,432,501,
448,788,836,219,133,629,192,560,425,329,037,980,534,339,756,750,836,846,461,
312,325,911,539,485,245,039,859,596,285,496,661,631,928,266,517,054,008,207,
332,706,428,002,613,570,580,276,711,464,596,117,717,637,816,502,169,079,353,
242,283,017,164,398,855,049,420,935,529,277,495,530,777,631,402,286,806,442,
055,608,808,281,970,034,731,086,004,448,602,848,250,652,100,206,876,782,086,
674,919,243,470,687,879,237,286,343,815,556,385,597,153,246,665,917,584,111,
326,588,653,415,102,745,766,982,847,180,650,029,004,263,705,489,977,318,615,
382,016,124,547,019,340,800,143,205,862,905,373,069,654,566,528,463,422,208,
295,787,123,301,255,728,538,987,374,867,097,044,592,116,112,870,461,464,198,
622,791,755,760,101,984,505,310,017,035,505,138,196,250,068,382,467,353,362,
579,570,918,373,768,416,567,066,311,153,736,396,223,620,754,563,060,739,712,
342,178,336,198,057,052,612,224,906,609,927,672,670,901,757,335,912,723,317,
377,650,390,646,534,901,573,449,543,730,410,624,607,711,801,791,446,561,476,
861,049,105,339,413,838,922,273,305,073,881,953,467,919,621,712,816,656,314,
340,361,332,723,054,808,677,743,106,128,110,846,811,626,354,349,787,877,694,
393,914,743,189,926,917,518,439,798,769,493,575,563,225,167,400,105,770,130,
399,331,775,907,574,093,027,207,471,578,404,860,849,905,561,976,953,625,163,
905,618,792,625,257,470,166,137,611,391,222,782,850,884,283,762,911,426,251,
330,018,868,215,409,224,279,155,038,321,599,413,986,843,260,097,530,360,292,
299,056,149,346,166,236,194,962,067,775,179,181,206,662,544,516,470,082,609,
403,459,557,605,318,711,684,062,411,336,931,627,222,135,927,833,642,141,964,
373,359,013,575,738,396,311,830,479,996,571,133,422,223,542,677,058,947,970,
025,778,389,639,753,527,981,368,457,962,522,718,343,618,677,955,582,516,567,
445,440,946,473,455,530,127,138,969,671,032,999,887,382,894,229,135,868,959,
127,978,622,697,845,733,322,191,180,040,232,267,192,018,493,778,288,907,865,
258,155,643,171,659,861,647,842,826,376,985,075,539,672,079,380,507,140,204,
773,635,122,310,114,245,878,410,221,983,251,984,137,562,295,197,334,044,052,
772,631,560,752,880,194,498,516,682,531,758,302,566,461,045,174,241,520,287,
453,230,543,462,097,330,761,169,782,895,290,145,160,479,429,615,814,238,107,
326,894,075,286,464,609,141,835,958,403,581,564,590,601,278,306,681,122,324,
020,449,153,726,098,848,159,372,820,977,884,690,453,398,602,650,467,901,680,
650,204,712,900,793,346,102,044,967,462,857,457,519,421,137,399,859,112,722,
579,013,582,242,045,051,757,468,813,566,305,284,332,479,969,468,209,336,498,
242,193,030,967,006,423,728,432,479,759,687,122,317,668,006,691,981,687,925,
014,744,995,347,890,041,263,709,901,696,637,422,902,157,104,945,151,687,515,
068,697,304,284,557,637,551,870,797,928,661,562,826,991,483,460,585,606,581,
835,953,292,919,348,902,265,901,331,069,762,185,681,204,918,968,830,370,727,
529,358,001,104,646,362,532,854,872,943,246,423,767,931,699,490,961,312,378,
762,705,612,054,088,974,552,343,808,746,654,865,636,105,405,960,076,007,964,
667,272,951,129,869,646,298,870,920,971,200,566,224,161,829,750,459,789,260,
943,076,823,146,053,613,191,757,710,390,656,585,308,408,735,909,012,258,331,
898,689,431,143,572,641,230,953,491,345,013,727,757,999,764,657,895,106,278,
563,847,073,396,288,439,991,441,745,056,745,193,197,685,728,873,522,512,083,
101,921,334,802,522,025,595,448,651,224,371,564,609,573,377,341,398,576,389,
964,728,372,722,110,190,704,463,760,093,624,014,770,493,783,698,997,759,181,
557,928,483,364,927,173,604,223,341,400,107,975,827,030,142,648,017,075,771,
179,243,891,082,511,884,583,268,757,999,098,627,430,410,419,459,808,551,305,
584,728,084,208,798,703,635,777,330,007,385,659,047,095,459,832,180,514,198,
273,896,368,343,807,403,625,467,284,928,067,141,361,689,310,448,136,756,577,
520,598,824,911,336,702,498,857,033,182,191,676,704,460,250,709,184,440,973,
630,646,216,859,093,253,056,984,801,783,246,003,270,108,861,850,444,494,184,
716,143,584,309,610,615,759,800,595,249,947,524,802,860,152,947,538,486,489,
572,864,554,815,852,664,985,445,555,653,656,498,943,440,226,257,851,174,749,
143,434,349,519,875,094,288,273,862,091,071,270,645,640,221,884,686,513,683,
311,404,820,855,199,129,560,101,834,258,747,244,625,336,076,675,675,269,337,
482,266,108,478,956,899,669,148,247,698,018,165,832,842,567,549,614,838,991,
082,674,921,008,804,663,025,454,926,318,330,084,414,725,627,381,900,122,767,
714,309,748,910,153,118,366,562,673,316,249,491,964,306,476,132,338,236,628,
665,998,407,528,915,770,221,908,155,473,569,859,496,606,073,037,557,273,809,
872,699,019,424,704,941,942,755,880,820,076,665,045,256,350,006,917,223,237,
816,964,131,345,857,940,445,153,467,766,927,604,953,224,212,096,762,210,068,
384,966,489,334,004,477,624,422,339,215,687,103,612,808,621,163,094,991,440,
451,385,900,566,936,675,054,335,657,348,789,757,684,186,598,270,132,273,220,
642,716,769,149,377,339,225,987,872,044,345,118,807,173,433,165,218,818,753,
290,093,535,544,900,276,882,530,206,322,920,068,994,498,862,454,771,971,727,
719,666,245,134,025,649,018,307,250,281,914,045,147,121,624,014,662,872,540,
322,377,743,736,904,074,931,944,945,416,305,390,964,015,875,532,420,221,663,
208,632,986,671,059,658,263,385,942,269,650,238,226,207,638,272,358,436,800,
119,684,574,334,664,732,001,543,914,106,897,880,073,133,115,485,800,737,310,
347,537,927,392,265,432,920,921,036,481,486,440,504,790,858,728,352,506,511,
302,074,888,484,085,255,036,196,104,775,595,518,070,216,371,606,017,831,208,
111,103,412,542,492,653,179,043,410,431,196,126,864,895,384,394,377,305,964,
818,790,543,506,795,435,814,602,734,165,225,610,397,988,978,521,123,839,196,
367,040,280,489,740,888,415,380,786,752,745,369,352,635,704,589,627,829,183,
014,048,574,413,171,331,582,854,383,226,644,874,128,402,417,346,520,243,005,
823,309,576,229,630,310,960,737,365,487,530,554,395,349,595,367,531,050,731,
265,380,682,890,655,891,597,197,956,479,413,916,161,750,398,339,204,365,365,
633,779,364,522,236,149,272,678,137,144,403,746,922,887,000,162,181,809,342,
513,497,924,517,626,328,694,662,028,337,153,679,766,583,508,414,767,152,004,
056,606,771,350,149,001,950,805,879,797,886,259,265,367,673,753,277,050,622,
902,008,584,644,963,701,587,076,449,746,921,160,110,448,512,376,003,983,109,
225,814,383,893,930,351,212,885,018,364,921,373,326,825,840,429,072,273,236,
562,426,824,369,277,594,511,784,110,040,684,376,264,877,149,641,254,972,203,
170,036,787,676,693,295,301,125,117,772,360,670,627,404,264,430,407,102,563,
411,415,884,211,164,459,212,988,415,364,034,691,128,961,080,384,482,723,230,
817,410,152,987,490,929,628,534,371,087,356,245,301,090,341,968,044,737,753,
223,534,531,058,015,042,093,398,808,793,305,746,396,612,368,422,675,962,994,
189,849,373,296,671,740,756,938,553,466,296,904,915,125,491,768,524,109,842,
749,177,856,208,738,973,193,514,407,340,429,191,078,583,849,932,584,778,206,
492,011,848,462,635,767,402,540,331,283,757,923,852,113,520,131,328,626,679,
749,510,991,584,797,980,646,011,771,911,948,260,548,095,799,329,852,907,791,
610,997,735,426,178,380,848,565,608,589,753,057,025,916,512,779,119,758,672,
723,030,955,812,905,649,497,292,395,291,697,581,621,386,478,460,942,466,321,
245,767,808,157,648,694,443,343,839,070,618,327,847,781,028,011,540,586,322,
022,326,817,501,188,576,398,461,218,949,699,965,635,996,624,378,965,355,064,
727,805,945,680,694,229,434,747,310,607,654,399,144,910,371,767,577,184,356,
593,709,128,393,988,205,935,223,501,669,945,619,798,657,911,480,933,445,697,
172,189,545,228,094,250,173,751,458,449,216,113,663,735,013,109,896,511,506,
669,509,867,051,163,037,194,910,306,953,578,994,117,477,469,727,873,617,053,
507,966,954,135,166,850,452,082,608,574,157,319,411,884,703,465,252,307,715,
975,618,765,330,453,700,505,459,955,713,683,540,417,847,448,356,541,824,753,
214,010,559,953,274,385,199,385,312,445,318,097,568,877,204,728,412,514,303,
646,618,769,008,347,713,758,741,045,247,795,436,001,482,701,347,411,642,497,
730,929,548,532,141,439,544,611,146,110,043,287,862,623,706,180,983,091,426,
385,796,563,267,681,375,397,002,518,042,211,165,716,682,225,028,376,336,004,
380,598,321,457,719,043,155,484,749,140,510,185,062,552,698,954,639,179,708,
099,084,840,845,688,973,377,550,472,088,977,076,136,342,794,253,475,372,619,
876,236,266,695,964,516,339,549,207,062,364,729,358,670,442,930,461,838,815,
001,293,877,268,549,084,784,255,538,954,280,391,268,169,361,815,385,787,604,
542,490,868,323,741,591,365,456,279,919,479,575,827,826,077,567,984,842,074,
068,409,237,813,161,334,036,982,445,268,033,985,246,293,948,967,725,601,504,
049,562,879,071,195,999,959,002,253,841,725,366,061,355,302,817,680,432,640,
220,422,241,126,925,301,576,147,024,355,220,999,871,463,428,283,144,988,467,
118,940,162,222,148,305,354,815,132,797,428,330,710,459,312,780,185,463,400,
680,196,543,840,413,166,123,084,460,109,929,272,137,151,712,484,349,713,908,
070,674,980,254,746,505,899,741,474,841,869,419,716,000,593,633,147,163,302,
850,779,649,865,956,713,997,735,415,954,668,796,548,799,449,973,075,633,217,
314,363,397,958,015,101,447,610,496,537,296,919,964,922,467,378,386,326,162,
204,939,440,733,503,435,948,566,695,630,470,605,769,088,694,394,840,638,994,
336,577,664,916,775,983,366,392,106,950,256,602,024,806,116,192,332,380,362,
205,083,918,727,273,768,292,363,297,188,173,240,405,114,855,108,644,220,800,
094,535,571,223,627,527,641,882,238,961,435,708,581,824,377,626,997,113,136,
568,107,936,216,705,488,385,703,716,728,627,183,612,630,162,887,192,711,067,
208,578,581,111,255,524,009,567,413,632,272,154,954,305,352,816,007,094,761,
078,256,640,349,629,156,298,285,365,284,762,246,279,945,608,376,148,896,591,
352,022,630,789,054,574,016,702,739,439,222,097,325,896,723,598,015,932,156,
454,542,818,452,374,077,129,945,688,817,492,173,263,770,038,012,467,585,333,
111,237,984,444,487,868,568,476,710,364,751,288,936,259,159,847,913,868,783,
534,498,034,065,985,521,383,107,483,252,953,567,703,283,388,525,562,344,260,
868,051,201,108,501,082,048,414,816,615,978,814,449,704,953,733,177,881,793,
268,141,425,083,996,843,280,090,484,712,770,247,069,685,485,936,887,739,122,
129,545,054,451,042,094,471,766,970,478,537,419,654,947,602,213,335,850,380,
267,266,997,624,688,317,493,028,244,309,160,942,524,921,857,973,333,256,365,
806,719,675,909,383,999,735,550,377,052,184,773,528,386,932,843,395,588,102,
990,224,915,407,493,214,498,422,203,456,994,786,155,317,246,160,869,906,360,
327,836,608,157,985,588,060,318,509,328,694,014,486,618,194,086,163,543,696,
406,795,067,399,896,103,326,624,538,468,220,634,491,314,047,298,548,812,004,
168,771,573,035,612,807,204,881,043,112,570,017,557,274,503,395,284,567,034,
720,184,362,859,542,093,872,287,432,444,323,313,054,822,155,202,149,981,005,
419,715,730,616,657,189,913,826,165,291,393,470,952,658,544,879,435,806,029,
173,246,558,190,382,608,723,161,314,490,039,710,813,596,815,746,551,292,145,
215,655,480,611,088,714,197,466,864,630,176,753,864,129,879,214,665,578,509,
710,618,386,998,611,441,221,961,691,747,378,499,162,466,253,180,135,000,527,
805,235,601,487,485,836,851,930,787,115,091,437,559,962,213,690,901,156,365,
899,547,329,701,127,978,523,858,678,787,113,957,575,443,403,674,490,373,758,
099,483,828,108,521,778,227,217,261,908,691,525,526,701,635,666,691,532,097,
470,818,550,097,706,249,105,834,543,816,893,845,432,688,577,014,276,640,027,
864,044,006,138,335,102,854,683,832,590,415,240,110,133,111,082,309,060,915,
377,823,097,497,746,260,497,181,786,642,089,900,656,532,168,544,157,858,254,
401,958,104,964,197,873,702,064,530,703,744,723,857,333,709,727,429,933,710,
067,992,062,564,378,929,394,484,986,869,890,400,911,311,970,119,824,261,919,
732,801,225,723,446,822,454,837,149,644,498,844,351,821,560,196,324,340,999,
682,199,044,797,556,893,529,178,360,150,431,221,561,903,045,444,676,924,287,
642,341,477,317,971,158,646,991,349,868,174,913,456,852,826,785,262,157,503,
366,439,305,845,671,850,974,155,992,513,471,632,441,603,418,964,674,766,387,
380,670,244,119,332,617,077,433,083,460,097,050,657,059,397,577,960,886,918,
173,768,565,948,084,986,154,680,327,749,733,573,024,367,086,565,862,853,215,
140,266,693,075,974,527,338,705,601,994,681,860,973,076,810,329,231,593,954,
155,298,635,001,438,563,985,061,184,700,564,261,231,342,421,535,098,339,161,
618,342,591,423,487,228,403,560,811,842,214,453,941,288,567,292,214,802,891,
612,654,315,910,197,548,073,526,430,241,591,050,760,651,762,734,742,397,395,
933,873,327,896,006,380,234,744,964,225,377,799,421,203,889,191,115,817,919,
188,238,398,736,448,707,464,254,433,797,654,161,331,477,419,095,865,394,079,
007,324,205,747,160,732,424,585,772,361,323,698,089,837,910,480,253,233,550,
273,318,073,892,645,544,560,681,483,955,732,991,409,459,249,406,911,768,649,
525,386,309,058,065,576,677,721,349,557,023,784,808,203,832,820,609,801,485,
498,293,466,576,957,475,588,947,153,251,098,269,286,751,344,414,238,034,299,
765,306,677,025,257,346,202,453,849,369,635,710,452,508,154,061,583,295,611,
599,545,730,995,699,927,062,050,746,685,405,493,240,214,993,665,950,021,866,
967,502,494,837,335,554,296,603,446,519,243,229,120,506,396,484,181,618,428,
004,761,934,858,641,652,698,611,631,125,481,154,731,897,555,636,259,186,409,
331,641,489,358,503,861,225,858,032,702,734,876,165,577,093,036,676,834,942,
653,748,565,634,279,651,408,742,954,913,963,861,693,198,355,974,433,657,650,
590,043,023,670,645,949,795,885,628,077,088,531,601,472,060,206,791,896,928,
054,203,895,195,426,321,014,816,045,994,873,971,354,307,298,604,011,723,696,
127,674,178,531,854,736,266,316,404,388,746,532,031,682,782,077,274,721,068,
933,021,973,543,309,834,498,029,592,557,302,929,953,098,972,707,539,579,363,
099,635,324,372,392,375,175,880,850,961,101,726,227,842,712,120,998,994,115,
124,605,995,797,048,992,443,078,458,002,950,875,424,403,812,612,652,482,406,
459,125,842,820,165,759,502,429,114,301,774,182,126,755,772,519,596,137,971,
927,690,815,023,058,220,285,366,465,364,222,641,511,197,278,882,865,452,397,
599,412,596,447,079,565,385,716,991,854,703,890,652,372,496,178,047,186,690,
568,872,815,945,426,931,996,702,250,148,969,149,088,540,637,203,832,525,488,
728,975,894,215,373,058,579,474,791,834,995,037,912,454,650,656,881,772,563,
864,859,620,396,125,484,569,982,565,172,261,773,581,043,971,030,348,397,041,
911,823,467,426,929,378,483,908,260,394,086,383,357,512,301,111,522,843,097,
180,796,839,243,563,067,516,701,944,240,475,032,973,455,395,441,483,541,282,
523,219,846,299,823,635,150,679,389,526,532,649,461,089,187,910,928,908,352,
081,367,977,827,725,414,551,476,756,581,504,402,135,445,333,341,129,662,921,
162,635,967,811,996,720,744,054,749,926,729,453,949,633,942,227,451,717,892,
722,115,658,240,152,660,218,852,549,828,499,505,978,708,144,104,652,837,204,
877,967,799,340,646,769,656,537,779,389,201,076,224,279,864,985,479,683,429,
486,630,417,942,997,086,613,839,579,908,692,837,123,938,279,335,258,593,567,
898,353,375,267,613,405,452,996,698,645,627,149,553,104,617,272,562,573,550,
945,226,589,046,431,592,088,923,505,861,740,769,534,205,665,226,225,043,258,
391,590,754,750,282,980,891,764,625,733,459,423,960,400,493,424,651,987,448,
419,954,131,659,851,974,859,163,605,680,899,044,211,970,956,746,395,216,402,
033,749,911,585,941,251,918,065,669,850,846,220,319,499,526,331,940,532,861,
163,331,939,163,209,586,098,148,619,398,072,686,336,007,547,093,561,281,859,
119,694,378,135,770,599,415,563,166,246,534,991,752,368,128,993,556,822,814,
266,805,870,647,022,506,875,061,611,194,799,063,175,420,951,856,383,228,550,
005,735,054,649,045,403,101,165,876,927,962,720,376,189,437,927,767,247,125,
295,227,049,360,905,644,330,847,503,128,069,637,297,245,899,035,393,418,520,
426,592,565,007,619,190,085,608,208,389,246,291,986,714,978,206,175,947,943,
818,357,643,122,938,204,130,030,186,160,515,960,318,547,530,448,921,172,623,
148,729,037,741,653,211,634,395,023,172,783,963,953,281,556,957,534,465,035,
592,118,520,940,618,864,496,163,535,734,617,991,311,129,409,445,803,797,784,
165,353,004,557,524,477,380,039,499,976,512,957,369,690,689,408,022,398,413,
841,315,489,716,040,888,906,287,584,268,419,141,667,580,734,634,335,649,312,
936,872,806,609,393,375,923,369,754,845,644,043,153,308,746,566,920,617,246,
239,194,544,442,657,319,722,239,325,139,844,246,921,457,263,563,324,055,896,
999,870,442,326,801,338,731,894,650,170,005,737,828,921,336,034,344,571,350,
993,331,327,434,197,535,108,761,575,450,298,227,565,387,407,820,829,312,951,
093,401,658,910,167,398,116,737,938,498,150,516,453,616,112,908,328,537,887,
840,765,963,689,673,524,680,304,968,530,338,024,649,972,394,626,525,163,491,
169,208,182,085,827,344,554,289,474,145,444,854,593,786,399,522,400,115,621,
155,906,638,147,332,250,957,018,088,334,660,875,708,710,600,597,550,981,413,
747,381,253,560,875,342,602,156,848,380,855,599,290,383,048,701,352,283,048,
414,092,118,520,224,391,387,125,093,765,622,431,063,366,787,519,296,366,635,
612,106,053,792,447,788,333,456,533,880,882,804,919,321,623,977,563,617,748,
196,795,336,358,074,780,048,146,897,104,261,654,017,541,613,737,826,140,067,
790,774,904,812,867,124,638,852,764,514,269,953,416,252,161,975,875,368,407,
690,139,335,596,135,657,957,408,815,946,460,135,160,470,740,074,891,808,518,
943,433,319,240,918,602,827,240,580,901,199,898,884,123,311,458,197,259,700,
487,229,381,520,369,305,298,312,210,000,877,071,686,402,655,647,622,660,348,
812,216,628,223,453,071,980,259,271,438,699,250,421,508,731,960,370,959,689,
754,407,569,494,914,340,087,420,461,317,932,356,824,262,998,189,736,695,115,
651,592,684,069,201,145,601,704,822,295,968,672,937,285,197,800,333,571,797,
777,591,978,020,187,682,514,809,190,901,076,809,604,461,857,225,190,014,265,
142,488,792,264,797,835,726,945,248,898,724,121,306,657,655,376,547,200,103,
304,618,133,155,389,187,475,411,871,899,419,936,136,828,751,510,087,414,127,
275,563,406,059,351,598,046,765,567,790,001,340,954,683,754,203,476,469,723,
655,334,524,532,879,284,980,643,857,653,629,065,103,166,409,793,221,634,119,
553,275,625,119,487,963,059,877,473,144,929,321,241,852,013,498,435,086,175,
571,612,716,457,533,748,872,498,843,554,335,882,857,814,780,022,230,845,070,
615,131,910,491,957,273,772,619,203,554,328,817,446,078,405,328,912,576,269,
653,339,991,443,030,015,244,137,617,686,236,960,603,978,251,381,252,707,517,
242,188,900,224,658,648,311,016,729,180,199,969,581,220,297,316,586,510,422,
171,760,108,669,850,693,350,208,783,334,913,248,147,256,730,582,977,044,353,
388,292,894,648,962,645,598,627,029,307,377,144,210,354,981,247,352,336,621,
650,082,023,719,019,744,047,458,806,198,691,323,188,719,339,586,105,601,244,
431,452,583,042,850,441,202,483,698,075,018,998,545,433,603,371,161,449,935,
236,302,585,293,969,235,862,145,155,040,616,119,495,642,583,154,402,128,105,
427,105,839,630,137,530,778,636,468,663,218,792,416,535,028,895,753,196,525,
227,591,741,229,083,340,472,408,207,133,101,598,043,426,104,214,666,590,806,
090,220,215,497,886,729,632,495,203,007,171,235,335,782,714,724,495,183,962,
993,865,832,889,901,916,795,358,394,701,428,984,866,689,152,885,658,341,050,
861,783,847,917,522,014,234,274,526,845,967,169,325,725,663,777,224,552,764,
440,415,661,727,046,078,154,754,587,915,276,251,509,854,374,610,209,789,478,
274,201,712,918,087,236,068,340,692,276,385,824,382,650,719,101,906,659,280,
006,518,275,103,773,420,221,206,691,106,080,432,855,345,015,612,818,370,995,
822,481,992,615,604,718,537,505,328,338,758,317,400,544,662,149,396,771,055,
778,833,540,014,243,141,804,062,492,187,544,819,775,221,691,779,931,242,942,
282,842,667,204,568,714,951,206,370,866,017,857,555,433,050,258,654,613,093,
956,199,498,965,753,730,821,261,071,794,930,512,330,390,467,125,397,828,236,
626,256,098,681,078,476,657,017,252,933,703,687,500,301,551,543,124,451,077,
388,255,274,234,409,959,304,168,629,149,470,114,075,396,939,457,844,847,115,
531,596,468,991,017,916,645,717,188,495,816,900,891,577,094,008,895,477,657,
854,825,497,971,843,731,863,998,171,951,827,098,070,459,378,980,942,567,357,
504,862,893,111,256,946,805,663,465,523,179,617,601,331,947,338,332,937,509,
148,601,723,096,430,942,376,696,905,744,333,447,487,302,744,210,426,319,355,
077,032,783,959,355,866,714,658,276,150,730,636,091,301,752,553,448,406,589,
989,616,874,465,859,381,912,094,407,837,778,547,451,278,590,069,909,775,705,
796,029,746,333,926,684,366,526,974,319,288,422,084,341,520,085,403,943,400,
543,757,259,568,343,021,304,414,263,709,688,628,289,208,825,601,627,217,808,
922,511,952,301,440,977,149,607,148,835,516,923,629,234,472,594,301,020,790,
859,740,476,338,776,611,243,874,041,703,612,944,578,717,472,954,486,214,303,
438,680,562,016,979,407,881,444,276,170,006,147,900,397,143,860,856,601,506,
029,750,817,278,440,584,927,640,963,285,773,576,844,121,114,021,007,522,800,
857,600,851,375,791,911,040,363,503,021,485,371,155,743,121,846,202,252,684,
038,352,896,588,297,871,077,562,421,867,355,841,431,304,570,704,765,212,007,
344,822,877,076,118,975,235,084,032,451,462,203,519,972,455,126,443,589,570,
072,602,043,378,604,247,350,977,510,338,199,019,009,180,025,109,301,254,599,
050,044,436,191,726,936,718,727,846,723,464,224,084,260,230,205,540,868,751,
690,379,577,859,960,733,748,705,535,822,694,476,203,994,205,715,664,076,911,
575,589,879,673,174,513,909,852,497,744,925,591,895,066,264,654,143,578,262,
739,953,019,911,610,018,239,130,129,849,549,242,040,997,115,056,404,165,217,
092,964,624,586,578,908,093,685,954,811,407,537,295,236,260,023,079,546,931,
115,093,041,207,267,840,861,078,130,876,153,263,657,128,932,254,677,561,654,
889,868,103,741,329,032,817,665,585,248,165,963,743,097,180,638,749,229,080,
632,306,599,189,392,653,315,409,763,547,071,361,449,994,917,898,629,874,181,
085,023,880,738,890,773,963,686,630,271,932,710,619,566,630,558,579,864,976,
538,208,222,457,234,145,287,571,692,274,392,606,835,080,669,163,799,801,031,
398,689,127,486,208,444,273,699,989,128,008,391,760,944,676,029,340,147,826,
911,523,603,447,937,626,574,898,962,893,836,493,903,104,424,097,175,778,747,
401,319,482,308,970,759,591,934,713,295,475,905,152,592,114,664,994,855,069,
842,762,342,436,255,852,525,171,125,959,536,957,028,919,433,773,058,570,832,
489,714,674,412,823,166,825,592,806,510,433,535,141,364,145,730,945,084,057,
569,360,571,013,144,981,814,896,829,527,179,449,857,151,235,074,817,484,054,
758,834,750,034,730,201,318,656,674,297,548,792,186,452,075,353,520,421,828,
181,857,825,720,535,404,595,002,964,584,264,642,186,133,546,932,439,215,761,
521,033,017,982,550,656,992,789,683,725,359,581,491,573,407,014,183,444,504,
562,104,193,201,777,327,708,725,434,168,997,781,882,044,790,186,330,570,888,
506,269,838,517,335,328,082,578,242,697,722,708,555,805,930,686,099,005,789,
821,773,237,917,680,413,424,049,925,084,774,025,970,324,958,047,835,080,799,
402,422,319,340,947,106,740,513,210,091,006,006,996,908,797,385,510,562,767,
125,582,048,204,084,759,028,106,197,998,196,684,030,100,664,490,170,417,383,
731,331,614,252,747,482,525,659,342,797,508,531,999,918,367,928,614,313,509,
339,040,440,386,954,990,194,492,097,694,924,391,314,946,794,668,150,726,078,
273,227,233,875,977,150,523,965,335,698,852,610,431,719,279,954,726,708,600,
553,586,225,428,037,740,463,572,561,431,880,999,999,255,509,247,748,230,745,
552,823,314,747,494,847,688,286,875,666,307,960,518,634,414,375,021,647,951,
704,988,495,005,880,653,236,895,212,739,925,675,729,151,176,098,561,579,831,
303,470,597,548,189,080,537,644,718,902,816,418,728,438,486,644,416,912,953,
938,370,833,527,763,149,573,511,722,108,166,100,570,473,983,699,476,910,823,
639,283,640,413,806,899,518,248,693,360,331,387,662,723,002,700,733,893,604,
618,960,016,625,835,049,165,734,520,932,604,923,431,835,375,033,419,558,280,
505,914,449,459,923,603,719,656,739,248,409,315,585,784,917,694,464,446,244,
648,139,015,847,260,487,564,437,469,201,914,682,179,217,512,473,476,249,323,
670,674,227,181,578,376,431,626,826,994,153,399,134,850,396,978,347,345,669,
274,666,399,999,859,046,247,299,427,835,698,110,642,682,395,757,607,628,029,
650,194,112,337,764,003,105,896,433,212,421,297,807,178,935,175,390,519,097,
640,337,787,981,150,594,187,539,380,134,812,639,054,166,007,175,818,580,393,
534,817,350,945,352,394,193,873,825,233,149,146,361,769,616,233,814,924,182,
333,922,795,691,356,134,110,463,374,551,758,902,148,809,499,554,023,210,209,
067,049,987,330,209,626,230,939,607,413,514,467,149,894,465,472,865,929,916,
268,031,800,206,232,539,493,142,370,859,397,288,316,989,689,018,993,614,848,
595,270,668,357,105,512,063,048,356,386,529,441,501,112,170,907,965,074,416,
136,522,813,401,187,924,641,066,325,256,921,122,826,038,701,267,348,428,844,
444,757,364,074,793,544,589,183,784,350,776,870,357,821,281,504,261,545,774,
799,796,350,012,778,726,109,995,357,738,014,125,000,344,495,951,060,413,793,
316,220,138,813,361,593,455,574,248,257,913,560,256,530,896,186,607,525,526,
165,591,507,544,766,936,455,512,078,106,617,628,995,815,098,996,134,449,792,
003,114,413,733,378,212,867,285,511,973,226,625,988,377,915,199,983,471,080,
387,940,697,919,895,311,163,055,022,012,462,807,015,112,593,639,986,284,374,
203,767,394,328,809,857,005,014,586,782,920,776,727,723,271,088,826,555,195,
982,448,001,585,596,331,975,120,003,174,026,568,288,864,788,677,198,574,866,
322,533,951,660,876,211,267,423,600,898,112,600,630,770,043,050,451,707,834,
909,914,631,414,485,975,364,283,549,009,120,452,664,068,360,588,466,052,901,
219,067,597,842,735,513,749,682,063,442,125,128,871,268,028,098,653,297,839,
382,177,979,210,556,920,919,299,232,486,169,155,522,890,917,246,646,134,586,
697,766,221,701,683,341,069,461,007,101,834,363,633,096,754,236,573,624,769,
709,028,087,458,585,217,693,808,067,631,765,595,447,629,278,372,054,691,516,
193,091,943,698,930,760,966,672,399,096,411,202,276,236,328,825,307,183,764,
698,990,767,479,676,498,061,989,392,848,151,338,795,867,025,194,424,212,299,
527,145,741,776,302,831,743,526,936,923,211,701,579,666,281,086,485,519,311,
091,506,322,999,626,684,615,156,200,133,818,151,655,204,374,427,490,865,928,
554,515,937,332,683,740,201,165,741,192,342,590,951,724,715,777,885,504,117,
905,173,848,789,964,214,936,859,960,853,463,020,278,592,766,651,859,736,608,
397,925,650,635,875,008,497,616,363,664,510,443,262,246,568,938,465,155,801,
607,259,670,096,311,110,289,068,596,805,883,262,075,158,256,063,275,811,255,
724,369,505,752,655,997,345,115,965,988,827,919,214,384,514,148,948,870,319,
646,949,586,413,553,812,323,967,002,932,206,381,782,875,375,110,795,201,570,
968,279,210,957,478,956,610,092,186,427,510,576,319,088,779,967,871,369,044,
370,842,781,910,152,983,997,132,305,392,328,095,182,543,486,410,706,201,512,
858,411,354,482,019,044,819,979,189,096,742,721,543,628,650,361,692,773,213,
568,882,392,633,685,769,560,266,390,085,293,586,767,715,770,566,051,992,601,
755,791,774,291,507,566,198,094,692,576,321,843,557,022,688,483,284,934,013,
375,840,931,407,990,147,063,517,811,004,665,953,941,050,331,873,634,870,262,
380,930,066,545,220,410,257,849,480,316,730,454,728,679,379,308,320,434,803,
305,052,680,228,893,312,659,726,154,226,125,567,277,433,439,474,108,681,495,
776,716,741,031,471,813,987,859,188,963,006,793,663,545,156,707,906,495,326,
835,639,273,110,960,787,236,029,540,719,791,119,967,055,375,637,866,089,822,
009,441,087,201,896,837,342,304,255,285,645,116,715,832,948,831,690,430,286,
611,194,731,402,343,540,360,346,239,169,264,041,102,517,342,808,279,167,846,
393,781,066,570,524,750,272,348,503,074,929,112,028,280,579,129,648,675,615,
858,448,949,804,115,658,757,901,734,248,366,326,199,557,597,359,586,401,039,
258,244,145,680,947,003,267,236,868,692,095,821,171,457,731,840,757,696,792,
767,941,104,121,636,514,454,558,774,739,009,946,736,751,903,741,340,360,536,
339,759,403,172,466,652,457,480,372,139,252,199,393,901,513,850,141,140,347,
661,783,472,901,452,135,452,805,855,100,854,752,461,731,580,389,767,188,433,
301,012,210,714,620,807,156,889,284,945,103,003,163,720,687,941,539,412,552,
341,699,705,254,924,360,325,256,910,677,000,297,172,916,042,781,132,715,881,
195,967,309,968,540,766,868,735,152,690,524,188,067,387,948,437,822,614,514,
829,955,424,236,093,373,036,182,058,181,157,826,171,039,031,854,098,181,170,
670,130,163,233,193,359,512,820,864,369,408,097,981,816,864,009,621,750,991,
430,439,993,447,325,159,551,721,842,917,100,347,035,095,186,902,851,502,225,
768,295,590,816,602,369,634,753,648,197,126,996,232,366,090,014,515,518,569,
868,454,037,549,443,001,248,942,630,045,752,663,414,096,901,143,496,768,774,
151,354,414,929,805,958,085,613,321,347,037,370,203,453,864,177,189,690,687,
326,822,421,204,245,702,383,981,083,251,342,310,908,981,887,935,227,558,872,
600,695,794,714,816,356,718,990,708,095,390,507,260,505,819,562,968,142,941,
823,397,938,777,007,754,246,300,945,395,841,473,345,670,380,033,698,256,052,
603,534,285,995,219,707,165,931,782,893,059,509,455,715,037,426,195,518,580,
503,170,685,153,805,925,961,611,552,358,407,623,049,315,603,279,357,431,499,
605,926,112,793,169,025,564,955,791,405,891,072,344,568,493,444,706,871,219,
921,130,321,954,314,552,301,580,158,131,047,958,508,069,316,559,274,115,353,
522,522,549,294,728,613,545,081,721,128,571,655,247,526,063,562,560,582,949,
623,488,045,177,461,929,072,154,731,798,446,120,198,109,328,188,439,965,390,
990,944,164,577,831,904,045,650,296,127,623,992,673,944,490,971,186,958,145,
839,387,571,196,552,133,780,010,436,147,403,068,952,547,476,323,635,492,028,
094,319,567,561,601,589,741,181,596,855,507,967,191,741,091,532,189,592,078,
802,311,186,721,802,237,664,701,926,329,345,203,396,862,900,096,956,641,959,
805,750,969,063,758,073,174,832,664,948,531,530,175,019,599,273,073,435,480,
921,211,046,336,647,124,240,966,092,588,186,041,403,205,313,268,435,720,352,
985,698,702,936,002,084,108,018,619,504,949,852,878,021,854,114,761,972,714,
205,896,725,504,580,950,278,197,808,283,748,483,433,634,630,440,555,249,532,
283,191,787,776,620,406,349,564,800,830,965,169,294,988,417,273,812,837,631,
605,949,072,738,193,910,011,147,834,553,590,957,552,859,416,236,558,945,844,
524,783,442,798,421,889,138,282,482,043,747,846,590,070,982,096,509,596,860,
395,194,796,407,111,880,874,088,170,600,846,098,054,235,770,310,952,766,156,
919,117,706,584,406,633,855,099,918,191,626,652,572,466,847,918,383,381,192,
572,923,125,801,202,822,166,618,865,657,821,021,055,158,592,993,649,106,984,
392,113,118,035,654,225,495,882,736,119,172,267,824,098,470,326,770,202,985,
153,874,687,473,771,682,244,630,384,082,112,475,636,170,409,351,720,085,722,
908,343,595,255,455,764,007,671,569,262,115,421,073,048,517,856,232,957,210,
415,715,504,344,717,051,633,689,321,075,145,925,999,225,484,177,421,465,513,
416,529,818,955,911,765,096,168,976,135,751,235,133,314,068,554,141,390,385,
059,708,517,303,641,160,808,593,652,761,620,918,016,619,552,550,953,117,453,
362,188,998,443,280,726,781,236,370,453,845,453,106,822,054,274,279,150,688,
095,219,208,813,947,521,395,339,221,084,816,018,635,639,487,584,552,987,624,
008,325,660,721,591,143,022,737,879,596,719,569,938,545,279,784,440,896,223,
905,131,868,706,987,928,659,139,562,410,286,733,876,130,301,302,869,475,863,
857,599,278,905,237,199,359,722,618,749,981,234,906,928,759,470,692,778,265,
467,187,308,172,382,060,604,920,918,692,579,470,305,237,676,785,212,417,918,
172,757,610,374,829,671,378,587,444,587,962,302,488,972,466,789,137,067,410,
483,125,755,843,153,770,361,712,017,471,421,928,344,552,692,940,861,720,147,
387,703,367,628,999,675,163,649,680,548,834,185,629,608,747,863,191,470,136,
753,793,681,289,914,407,279,566,583,666,210,803,923,497,094,393,595,361,465,
881,425,986,730,752,825,522,235,248,977,711,002,496,598,305,370,679,312,331,
053,815,298,557,185,739,447,182,972,729,887,816,214,412,769,198,378,485,126,
978,310,534,611,544,788,536,257,412,545,684,014,253,643,555,214,111,218,559,
764,909,964,798,198,533,682,997,434,184,030,250,128,019,395,996,780,792,712,
545,336,834,036,790,844,201,071,909,430,950,061,630,471,023,499,236,379,394,
699,035,449,646,115,854,592,181,723,777,912,657,647,552,839,239,673,873,054,
695,889,255,955,264,776,827,017,460,409,509,997,219,828,968,440,216,368,481,
787,765,822,668,750,994,507,976,529,395,166,470,669,488,381,288,367,315,504,
083,153,223,202,470,930,678,463,213,007,342,946,970,662,618,012,200,127,503,
568,140,524,425,297,787,675,932,927,155,054,158,970,385,103,682,069,736,927,
065,621,330,682,903,906,112,165,512,299,296,419,160,575,981,883,908,255,512,
245,014,429,276,224,239,571,648,436,464,453,975,700,765,318,067,928,501,694,
787,440,309,308,178,758,546,427,502,789,295,680,786,794,794,560,707,280,793,
868,328,548,156,726,736,260,378,929,561,530,774,450,896,059,164,950,055,004,
861,433,759,719,272,131,404,797,746,491,437,805,852,905,050,077,571,688,893,
634,134,365,653,060,280,377,419,400,844,167,282,476,997,307,191,591,458,576,
198,899,840,566,660,881,188,900,541,551,318,598,290,270,223,650,944,195,954,
689,170,629,322,373,284,299,175,280,444,769,956,808,801,899,723,251,470,898,
214,077,215,148,175,917,848,742,580,848,179,091,487,742,147,530,362,685,950,
590,001,179,321,754,028,212,061,117,191,058,734,003,095,174,208,801,314,777,
690,040,735,687,539,917,595,607,064,304,810,793,449,882,557,565,693,006,148,
221,197,433,977,525,616,931,631,496,802,469,562,278,072,237,763,082,136,049,
623,184,359,077,061,466,478,891,650,349,987,935,000,230,308,609,061,273,505,
554,779,654,683,874,138,341,031,292,439,108,608,410,562,266,943,479,097,986,
155,766,846,146,020,290,243,737,625,106,036,421,102,609,547,080,126,326,866,
095,798,213,429,472,630,681,211,295,670,992,074,908,256,561,248,680,521,116,
721,238,664,425,531,134,746,885,433,667,757,241,845,539,035,790,245,444,066,
094,453,728,069,877,689,518,720,792,518,663,916,574,142,371,752,922,635,507,
075,152,524,665,404,676,285,307,625,008,569,974,474,923,146,998,270,107,221,
689,431,943,834,986,082,713,289,498,108,042,624,018,543,133,633,171,762,225,
737,013,622,975,220,127,066,821,980,669,651,547,750,977,385,456,095,726,193,
940,648,505,968,835,386,907,217,046,846,688,045,727,791,531,852,023,443,604,
390,988,745,523,721,966,506,118,658,844,491,317,529,744,763,716,974,932,821,
522,111,182,474,447,402,075,632,124,654,574,028,735,269,076,132,981,580,415,
505,870,371,129,607,042,413,127,740,518,017,544,818,854,115,494,711,315,285,
253,774,980,639,357,882,831,502,706,090,486,975,662,842,246,592,134,506,972,
825,902,669,699,908,937,307,702,004,671,465,880,439,476,135,021,558,269,082,
656,767,720,270,147,652,579,705,455,125,103,557,890,767,086,833,177,201,473,
095,566,814,806,873,978,606,427,674,607,867,843,365,757,571,886,994,113,464,
213,830,937,578,372,268,889,000,303,631,204,350,036,243,769,337,756,324,221,
603,457,200,657,059,391,359,655,218,216,641,342,608,400,608,057,920,710,222,
182,113,038,532,691,648,340,353,185,821,497,977,548,171,569,507,615,621,686,
170,434,838,802,608,312,503,010,814,233,023,585,638,184,659,426,022,490,783,
055,244,775,470,408,272,700,834,597,559,630,224,654,817,442,056,013,871,879,
918,133,692,668,399,586,248,153,809,258,163,910,763,004,369,257,397,352,017,
517,012,088,552,050,731,145,989,372,484,578,993,577,883,828,042,756,032,659,
504,174,509,215,343,631,032,894,990,212,280,879,385,938,429,359,495,682,698,
646,109,084,791,347,937,159,493,364,830,173,948,415,259,268,681,212,469,861,
732,767,481,091,246,861,108,994,879,516,242,174,641,431,339,860,280,500,116,
815,236,196,697,458,632,867,836,016,086,282,639,595,126,097,631,215,560,869,
376,816,721,218,412,969,556,547,314,169,563,915,940,395,229,393,963,271,013,
573,428,788,305,011,206,521,476,364,583,246,923,052,527,561,029,839,920,539,
365,115,550,032,782,099,416,696,457,883,555,753,338,395,092,534,860,269,240,
171,066,263,172,524,323,471,128,608,276,776,220,418,580,625,071,276,552,881,
988,135,667,011,642,280,550,152,413,387,783,160,637,862,094,588,656,706,168,
846,108,193,155,301,428,517,014,018,554,012,883,648,484,293,904,204,742,350,
288,604,418,725,450,329,969,875,855,954,848,892,005,861,467,722,259,391,555,
008,786,798,941,202,144,240,710,972,058,649,301,582,805,768,457,489,316,224,
834,768,590,310,012,828,717,554,425,279,096,692,267,174,684,499,069,582,991,
742,922,903,121,631,501,733,738,981,330,424,529,347,546,550,287,196,954,235,
102,310,028,607,505,952,023,376,040,587,293,076,236,205,903,452,076,229,527,
911,710,662,153,026,416,079,585,563,797,055,956,494,026,277,087,790,818,042,
495,440,240,501,562,021,929,027,446,944,625,428,096,605,003,967,248,365,732,
950,990,841,166,620,615,710,981,239,144,021,609,177,928,879,818,615,587,982,
236,871,546,834,690,891,618,756,576,933,192,984,602,445,469,015,923,537,145,
653,458,677,678,669,423,537,788,856,058,880,544,559,536,531,977,473,621,583,
299,750,839,777,698,038,148,416,762,201,826,378,188,436,609,786,658,376,392,
084,012,657,306,267,528,952,706,081,780,177,898,844,116,287,607,766,899,048,
114,915,220,946,518,392,982,807,063,645,584,932,490,022,601,567,791,894,101,
237,496,858,446,281,760,979,466,697,515,357,348,108,373,122,648,490,634,131,
274,343,371,769,892,155,901,933,087,429,782,826,312,841,608,250,159,793,007,
736,008,750,458,330,583,961,524,219,436,048,813,180,542,309,068,344,022,316,
583,910,428,515,282,084,995,585,855,967,087,518,208,638,552,737,243,755,260,
487,085,639,239,050,290,372,139,194,710,272,981,193,299,548,447,276,831,491,
440,519,820,016,109,926,415,221,151,109,746,406,469,020,988,619,702,880,334,
777,545,112,376,761,759,598,992,648,303,676,139,112,176,486,031,785,022,829,
613,851,494,695,015,799,406,092,588,431,161,700,260,738,236,671,131,178,460,
831,914,095,079,986,389,389,065,990,981,000,470,964,406,406,573,251,867,501,
292,269,521,207,541,492,633,767,223,538,743,951,919,418,650,113,633,942,471,
120,727,708,684,850,419,725,379,746,092,410,623,956,805,603,870,911,399,833,
771,719,702,388,514,585,171,325,697,846,236,563,181,716,155,567,580,774,023,
584,492,316,753,577,885,969,933,923,597,990,478,162,858,984,773,686,557,990,
406,807,873,490,748,795,843,390,411,546,191,602,345,879,493,976,251,934,631,
202,522,696,087,247,553,862,807,549,152,584,646,363,878,296,025,259,802,139,
539,969,578,321,340,720,234,156,368,664,136,419,721,580,818,856,386,897,907,
074,357,204,168,026,418,512,939,645,161,422,523,009,394,130,165,687,434,531,
066,927,119,971,712,534,726,209,836,787,442,326,806,665,940,881,702,863,631,
777,682,395,497,232,212,922,176,855,063,848,445,160,990,094,605,842,665,319,
951,253,538,151,580,375,005,779,730,140,097,345,841,388,378,109,141,123,579,
815,749,571,223,656,992,504,495,112,900,151,682,213,764,532,124,202,390,506,
126,114,552,418,946,903,327,629,055,848,734,419,431,878,371,994,360,117,124,
487,916,746,695,664,037,291,578,192,945,891,727,548,976,907,720,121,829,600,
272,785,358,803,985,906,325,532,204,426,395,848,235,783,635,006,061,672,583,
257,259,476,468,300,285,771,060,579,877,957,452,150,178,104,527,179,087,865,
783,074,947,848,531,719,824,494,648,709,957,329,090,724,788,052,754,543,926,
566,296,087,853,731,938,517,162,229,005,647,630,474,616,500,525,496,896,465,
978,703,209,160,326,382,806,261,923,748,260,546,403,185,829,090,418,402,649,
079,963,051,213,648,586,021,341,673,002,530,415,927,991,234,965,963,028,586,
073,850,647,053,379,723,233,881,966,791,859,093,341,393,943,953,958,744,671,
487,318,359,427,672,740,952,563,842,298,349,591,484,210,953,109,460,116,773,
554,997,304,783,414,547,792,285,171,300,971,747,545,272,240,912,948,662,659,
859,363,983,225,747,267,432,987,995,963,288,266,395,394,479,605,601,145,383,
165,925,374,865,655,952,866,965,228,328,322,286,097,416,195,299,953,744,576,
612,775,361,247,714,034,905,034,661,505,640,611,375,367,099,796,417,318,032,
149,351,255,655,814,118,652,563,294,327,193,011,382,166,825,044,645,973,128,
212,641,118,730,535,865,852,008,197,600,258,604,663,024,733,627,604,751,666,
343,465,110,619,445,424,660,204,854,492,653,191,665,656,437,191,247,937,872,
633,541,218,028,219,911,125,252,310,317,893,706,080,994,932,212,133,675,088,
925,071,214,966,784,520,405,929,378,368,291,156,984,894,580,977,561,474,806,
694,496,793,137,621,500,121,406,838,556,817,096,404,454,334,209,765,662,941,
042,512,780,070,369,337,246,797,823,102,930,854,440,534,293,514,588,549,173,
610,875,452,850,122,768,469,778,051,979,719,185,924,133,788,041,014,302,434,
883,960,934,841,236,961,916,278,220,790,470,860,488,153,846,453,956,502,145,
943,640,884,197,711,156,872,094,499,318,426,788,873,496,087,602,506,615,154,
086,362,175,210,335,372,539,635,568,030,361,392,250,924,314,973,317,639,867,
722,185,765,920,696,868,729,479,787,599,575,617,064,258,921,409,662,553,879,
443,225,080,971,122,054,508,457,324,008,322,389,320,968,260,123,419,690,449,
197,288,062,995,979,163,135,865,787,715,553,004,397,117,041,722,856,645,852,
485,482,833,913,647,896,436,456,866,436,415,006,232,427,053,792,854,193,576,
269,171,380,693,884,812,584,209,029,430,331,873,086,805,117,709,426,415,740,
535,044,150,962,593,794,930,541,595,567,056,396,340,059,547,380,136,376,790,
909,418,097,918,531,336,532,302,927,680,244,297,929,426,504,504,795,356,835,
253,948,550,871,114,914,953,181,835,012,093,606,641,069,952,334,842,438,697,
374,874,819,935,771,779,845,660,882,579,145,570,699,185,616,977,732,858,918,
668,920,022,700,100,304,126,509,912,802,492,035,602,659,918,593,759,755,215,
675,756,155,517,081,943,374,050,384,686,066,710,586,890,898,827,534,419,082,
622,763,347,635,242,469,029,900,861,372,045,273,248,368,902,290,937,025,456,
029,052,919,163,652,307,364,276,444,932,334,549,956,162,192,557,400,131,961,
030,164,835,665,762,760,770,983,302,125,752,936,916,645,205,672,810,021,220,
360,685,376,139,563,321,798,343,803,864,096,509,291,606,470,745,487,997,719,
102,666,990,667,802,774,727,186,590,104,376,044,786,442,718,352,974,840,854,
117,339,375,729,839,416,534,881,277,529,175,021,770,703,905,462,635,478,928,
040,463,212,365,453,808,355,916,752,390,054,614,257,564,414,186,784,966,339,
373,603,137,533,456,469,701,587,403,013,754,704,766,273,995,313,101,407,930,
574,893,156,984,239,552,782,294,116,339,311,668,164,869,848,432,305,117,447,
208,548,365,142,852,867,122,187,992,753,509,693,207,465,700,325,413,974,027,
508,231,453,185,067,627,341,752,262,970,711,929,491,012,033,499,279,075,641,
146,089,529,613,145,322,258,022,914,687,250,203,448,215,870,715,532,589,675,
935,145,608,990,779,237,876,234,110,112,734,556,170,240,794,666,229,214,789,
826,319,161,551,881,303,073,718,500,408,003,502,274,438,736,605,215,772,455,
110,608,918,044,881,514,285,177,387,249,966,034,249,527,055,275,599,322,783,
271,078,515,124,636,790,157,850,672,438,545,416,268,698,925,792,221,199,604,
296,231,491,254,893,032,813,706,774,363,301,410,478,590,393,866,138,808,355,
248,619,855,864,633,427,330,893,381,017,596,542,905,835,041,764,792,722,328,
968,311,623,974,708,038,228,505,597,830,419,737,685,924,871,924,424,046,523,
820,540,196,604,960,412,112,964,555,704,417,595,324,787,954,893,348,726,085,
655,471,698,151,282,056,049,938,269,166,819,714,171,539,150,083,536,454,431,
545,290,394,530,735,814,552,328,346,251,688,983,053,335,147,482,077,367,262,
444,083,521,451,750,100,575,882,553,939,526,606,973,969,234,282,434,388,484,
779,843,340,486,648,024,166,558,431,204,939,043,961,731,869,951,221,986,181,
570,842,253,545,207,863,992,547,048,680,701,567,540,219,110,427,373,059,040,
867,726,682,243,570,652,738,375,115,479,558,949,198,137,970,011,597,674,453,
807,007,694,884,535,451,433,224,868,915,180,628,704,475,835,575,699,723,677,
265,397,211,794,665,934,007,784,535,023,532,499,954,252,295,868,657,300,266,
594,411,001,190,106,501,458,682,248,927,816,291,256,377,588,171,311,607,995,
435,104,950,269,043,156,932,277,331,014,690,909,990,486,669,068,156,204,425,
960,431,614,875,620,018,956,455,846,113,479,771,367,877,151,442,450,125,945,
065,229,123,117,990,229,987,236,257,398,946,572,544,145,681,511,298,530,892,
947,723,450,279,799,216,070,252,238,916,913,536,386,429,341,289,865,756,725,
338,041,977,299,308,254,848,404,543,852,789,184,955,386,907,684,891,731,783,
428,964,070,207,384,082,471,465,078,176,257,663,598,879,067,510,498,659,946,
996,326,730,181,338,479,340,915,207,826,465,144,013,327,913,432,304,489,458,
210,445,750,197,131,392,405,469,935,602,033,476,937,988,062,801,393,175,099,
940,733,501,792,456,479,400,761,471,260,985,691,124,250,903,859,080,119,905,
801,082,325,785,353,709,124,772,062,418,969,021,684,409,844,108,286,426,049,
289,286,852,565,385,770,301,221,457,809,297,781,995,449,905,201,400,382,098,
614,033,170,828,395,400,307,792,640,550,418,246,641,744,334,874,359,316,603,
612,779,637,380,555,280,641,966,528,395,466,976,936,291,987,547,635,284,708,
855,871,447,081,436,874,231,967,370,826,670,701,271,615,988,707,547,158,593,
327,987,325,900,446,388,114,230,093,172,941,847,273,090,841,308,792,443,748,
740,326,582,217,946,309,866,705,184,374,622,384,739,287,341,207,361,539,663,
073,313,430,148,476,308,634,042,041,054,975,193,203,564,774,264,772,148,788,
781,997,100,506,802,690,130,339,737,127,027,347,830,650,775,001,400,126,435,
176,483,000,099,628,341,031,359,528,473,669,245,429,058,892,664,881,542,955,
879,180,969,032,359,057,861,032,837,007,759,896,408,087,112,077,804,150,002,
234,187,967,947,500,767,486,430,964,538,450,668,260,125,513,227,259,393,239,
219,636,854,718,046,280,464,232,281,930,624,080,685,469,083,773,888,903,922,
201,372,729,620,822,948,249,818,609,387,595,026,992,342,717,241,250,396,792,
525,357,464,282,203,969,262,642,695,428,944,367,792,070,841,814,995,338,484,
900,610,245,284,182,075,050,884,815,981,970,773,771,860,977,622,704,483,539,
553,116,547,952,667,654,302,617,476,249,682,478,205,062,246,311,935,957,202,
553,770,652,466,283,224,805,326,484,429,892,813,533,567,034,952,538,397,473,
044,700,517,881,858,113,745,429,717,477,462,489,807,730,668,954,315,677,918,
309,342,731,816,089,099,039,652,122,696,906,627,945,985,624,753,755,116,306,
365,371,916,634,791,463,752,958,717,537,290,109,496,078,934,469,782,558,167,
259,653,645,532,698,848,371,815,777,568,621,013,236,510,262,590,385,959,480,
367,648,350,315,107,848,963,435,081,938,497,391,329,098,839,508,637,377,962,
710,788,702,787,476,799,311,313,564,594,484,926,861,754,364,798,620,699,450,
650,101,554,536,072,074,576,988,572,234,878,714,800,416,209,667,274,235,239,
247,394,310,014,566,336,319,110,777,129,418,341,265,127,017,027,523,186,668,
163,329,146,550,280,824,820,019,483,093,663,086,329,110,870,877,851,884,137,
361,598,693,005,873,572,982,370,720,792,668,687,169,408,252,950,534,713,717,
250,721,008,548,288,132,396,013,058,458,879,277,181,132,014,741,671,516,148,
982,436,524,566,746,218,404,373,297,533,349,908,728,346,345,403,628,652,856,
073,430,209,158,982,725,672,770,267,040,760,225,256,056,617,160,854,721,389,
780,203,697,022,587,703,640,714,969,934,415,269,832,402,126,454,512,029,201,
503,982,020,293,245,332,007,577,997,736,510,404,928,691,194,653,187,105,423,
888,773,052,495,674,578,280,491,537,679,602,075,531,615,320,370,386,634,636,
655,560,084,794,130,503,250,878,751,586,574,893,480,549,617,334,739,831,642,
822,886,542,820,408,015,724,371,560,508,432,478,432,430,974,061,630,208,487,
114,348,900,221,073,347,110,091,637,685,282,518,543,633,687,234,796,091,717,
972,349,399,559,107,659,201,851,802,703,421,495,142,459,302,719,968,554,772,
374,020,487,410,198,656,942,778,855,638,547,602,710,747,496,316,610,358,492,
613,273,267,370,017,829,041,867,214,126,719,636,446,852,835,376,178,183,114,
701,187,851,127,930,360,746,449,352,927,567,913,730,711,555,752,286,011,957,
152,395,255,813,088,816,929,785,320,697,954,404,223,857,466,730,860,693,584,
105,424,469,400,567,328,969,054,504,209,524,809,035,048,004,401,400,365,391,
331,155,041,907,104,080,618,636,668,341,012,927,315,289,639,852,746,013,214,
718,651,404,040,099,193,408,750,451,810,605,308,837,646,056,442,359,990,786,
454,029,843,332,078,036,585,948,186,580,315,303,081,531,201,526,244,320,217,
716,495,771,011,542,771,759,639,709,499,759,388,111,097,699,707,979,470,467,
918,304,503,609,315,813,545,592,450,804,188,401,589,565,513,960,404,001,466,
925,299,259,051,613,340,302,283,304,576,235,117,460,419,475,447,622,760,948,
402,659,802,727,328,597,467,793,930,982,681,828,692,229,939,152,986,512,019,
204,687,770,077,984,824,783,690,468,393,288,477,817,224,963,122,199,894,508,
492,262,584,928,849,558,915,625,574,109,203,191,536,463,814,312,580,702,677,
219,663,902,256,289,496,385,087,395,101,864,136,029,881,281,600,364,918,093,
668,845,164,959,342,704,989,554,137,691,942,322,504,908,593,755,117,251,674,
223,028,073,537,088,820,391,548,854,591,816,126,092,818,507,557,341,096,935,
455,388,704,487,575,307,057,784,843,712,416,962,948,680,030,611,817,675,425,
651,414,410,868,174,208,949,288,365,529,856,282,207,105,203,461,447,096,703,
248,462,709,851,937,885,785,895,544,515,241,938,269,684,762,002,299,085,001,
832,662,613,017,826,488,114,462,423,361,652,971,894,925,241,748,179,836,245,
420,011,212,708,668,167,717,831,501,433,749,265,515,717,337,144,322,966,890,
112,882,566,948,230,624,740,193,842,557,136,488,953,569,978,718,465,350,882,
964,304,927,199,067,243,402,744,598,345,020,912,609,293,188,283,381,912,015,
108,340,620,799,604,023,531,302,292,842,582,093,111,368,578,607,936,648,813,
797,518,918,730,263,674,806,147,668,631,313,675,698,177,958,368,810,316,083,
700,874,104,648,152,290,303,237,712,001,098,350,246,733,613,187,211,437,323,
937,919,634,002,463,615,859,441,351,547,164,129,080,781,128,057,613,729,749,
006,311,662,122,117,883,068,672,633,304,335,174,706,010,667,335,030,811,863,
803,059,337,792,359,122,350,788,332,526,297,647,392,206,959,687,837,612,981,
176,530,943,941,292,070,462,583,212,295,432,485,536,824,864,036,139,528,448,
693,871,166,836,465,481,267,300,491,810,927,895,905,433,785,723,525,964,480,
121,056,049,230,377,931,004,260,616,309,924,581,257,426,653,407,440,033,142,
618,172,492,845,015,832,736,220,078,822,070,425,043,371,765,408,820,428,891,
146,732,438,160,802,546,943,872,732,419,781,911,830,636,288,595,794,258,618,
734,287,973,650,864,081,837,398,107,066,808,330,353,384,793,674,769,687,578,
055,420,358,445,459,448,805,932,217,367,325,901,346,504,622,291,220,967,322,
659,967,224,622,485,908,433,102,706,381,868,188,760,591,384,520,283,653,146,
822,272,926,236,553,839,490,752,347,619,042,010,504,343,917,902,415,180,281,
388,888,507,376,469,246,849,075,364,555,009,023,303,389,430,459,907,114,784,
313,765,307,634,293,763,880,831,830,667,783,011,686,678,169,336,150,729,099,
358,071,100,946,425,162,746,429,297,596,419,584,305,992,998,917,268,529,198,
227,535,991,952,964,849,229,856,944,730,429,604,407,707,513,241,909,983,323,
930,079,238,465,821,639,099,094,498,149,351,974,019,705,053,318,420,197,109,
938,571,874,356,708,826,746,514,093,936,608,788,682,476,914,838,885,481,631,
702,202,400,450,250,732,561,260,597,676,957,094,320,184,817,712,495,456,425,
244,709,357,606,200,541,029,441,626,530,123,379,540,630,332,907,091,939,428,
291,075,429,041,291,570,874,916,195,752,521,904,330,233,488,939,535,706,429,
420,288,774,046,524,417,159,334,499,019,641,918,511,538,828,810,152,147,963,
379,855,330,346,530,597,400,829,646,372,964,788,057,483,282,906,800,204,851,
102,463,030,679,230,758,230,161,058,148,229,484,822,205,633,171,476,442,618,
144,708,788,393,091,202,920,823,210,987,216,821,747,215,163,715,706,361,327,
989,498,431,406,913,012,967,613,254,572,531,862,104,798,989,408,692,416,295,
218,417,315,259,951,630,933,933,542,876,382,745,272,083,927,299,641,665,195,
871,686,914,300,411,212,690,372,607,838,814,465,113,811,488,302,433,686,460,
502,106,527,224,535,389,405,922,609,019,185,488,936,715,895,995,745,665,782,
188,946,267,350,490,336,728,457,972,503,841,653,146,802,650,839,363,409,092,
376,407,342,639,266,653,542,337,791,457,102,365,114,441,888,350,803,595,752,
532,062,667,482,725,107,760,125,567,716,530,776,823,774,495,359,385,709,594,
762,465,406,815,956,472,960,975,085,110,322,109,344,314,835,668,139,831,832,
749,269,341,764,670,929,722,930,133,536,641,280,810,411,377,433,227,733,370,
254,013,391,686,230,806,129,684,488,466,474,649,388,037,233,854,609,165,745,
364,300,067,999,970,876,809,702,434,444,157,127,508,878,719,861,535,926,068,
542,516,868,267,774,364,630,244,919,998,650,985,342,627,779,040,120,637,718,
005,114,508,289,769,693,985,278,603,519,940,629,381,034,905,723,462,555,746,
594,943,629,746,654,240,221,420,829,311,450,337,914,428,146,305,553,098,466,
977,102,363,760,352,652,428,534,329,972,248,837,517,030,101,639,713,888,265,
934,006,769,977,901,451,673,713,270,702,320,534,031,770,814,496,281,174,816,
734,631,050,439,088,848,390,380,057,064,096,284,457,851,665,828,374,470,621,
696,387,664,378,460,347,572,056,163,946,719,741,330,493,538,754,703,755,592,
041,369,383,051,430,551,647,057,786,408,129,877,592,814,232,677,261,687,931,
081,386,268,277,591,847,495,557,034,610,054,152,206,773,458,440,083,401,982,
627,201,475,368,038,712,610,678,274,145,881,586,797,771,519,051,618,146,877,
207,581,291,688,656,378,865,565,335,538,227,464,383,132,073,331,356,411,646,
222,290,751,169,609,566,438,981,378,466,128,587,326,427,464,989,280,057,420,
703,730,735,323,000,058,379,048,002,216,466,584,453,775,533,740,422,491,011,
039,521,396,007,056,647,308,163,090,134,688,832,437,702,208,397,566,662,220,
479,041,251,695,071,720,966,011,230,730,325,279,974,167,135,822,993,073,698,
162,091,800,508,039,905,663,777,627,133,992,132,895,598,368,915,957,285,382,
417,409,526,773,706,926,347,252,878,659,909,888,901,863,472,341,817,660,680,
959,930,437,739,092,021,126,083,538,517,349,401,342,929,668,528,791,880,420,
751,800,066,040,549,733,772,594,769,324,850,055,689,667,913,249,562,325,234,
405,479,590,784,893,914,969,419,929,207,066,654,498,728,786,154,243,348,433,
834,139,175,998,654,470,272,251,506,905,682,853,602,352,728,048,838,423,060,
134,926,454,975,662,040,573,901,682,645,208,603,631,746,166,534,012,108,081,
616,919,009,577,958,745,634,016,090,605,869,699,560,318,242,654,513,431,296,
028,340,725,680,269,605,225,100,664,800,403,502,522,487,057,401,776,479,478,
282,688,309,266,412,204,524,219,109,082,161,320,797,210,099,977,023,909,899,
480,097,739,662,277,137,563,017,844,994,889,137,186,547,650,373,579,556,401,
272,859,818,411,833,285,353,609,981,187,601,663,610,044,041,245,828,098,714,
857,608,220,172,331,565,495,355,778,753,834,699,274,059,918,674,166,268,014,
232,170,114,148,251,271,598,183,862,980,817,967,135,944,421,280,516,251,480,
155,532,990,930,667,745,773,193,808,728,799,166,934,923,916,223,177,192,316,
688,998,670,173,539,274,826,161,294,194,817,228,329,500,788,731,410,191,848,
221,076,793,366,076,318,473,770,141,861,527,494,432,088,431,437,852,706,591,
503,589,735,084,809,740,057,829,970,536,124,089,429,543,208,406,885,532,552,
975,944,226,194,641,830,693,495,167,690,978,881,985,681,208,876,635,686,238,
779,197,715,036,751,300,816,314,703,172,249,890,597,270,521,286,776,204,044,
415,782,150,021,967,006,496,233,348,283,262,549,335,850,215,959,587,077,247,
163,002,111,811,318,185,602,379,798,828,867,280,519,811,996,746,636,163,392,
564,210,652,888,590,744,588,504,264,277,226,499,476,415,286,577,080,742,371,
428,905,284,075,045,524,980,850,986,934,166,377,135,355,035,554,616,082,958,
851,819,041,770,038,969,336,620,204,071,534,003,660,798,375,015,529,441,862,
430,831,455,619,374,148,650,848,270,425,945,549,009,866,930,594,859,711,228,
364,663,887,312,413,811,504,379,410,096,314,988,708,640,502,151,286,134,802,
230,780,336,533,588,881,107,586,795,972,588,057,003,098,901,268,891,400,029,
297,309,877,988,038,480,080,627,288,019,516,607,421,360,730,783,772,374,485,
523,052,509,282,749,823,022,477,094,026,092,448,226,641,535,180,571,911,575,
979,687,905,806,821,183,907,859,434,191,667,185,465,256,940,609,771,981,518,
311,866,950,252,684,840,252,160,083,603,791,158,241,439,733,160,438,470,468,
339,620,881,315,108,109,259,825,532,321,424,470,360,958,430,157,755,157,129,
709,303,999,746,136,497,646,853,370,386,340,326,499,317,634,170,118,650,002,
091,195,038,225,013,770,134,905,360,263,656,706,030,438,813,003,205,311,596,
061,959,844,247,849,204,039,476,636,778,882,677,028,081,800,939,976,442,169,
511,573,439,535,460,460,508,006,664,927,089,805,395,052,132,752,183,815,271,
924,837,538,410,680,256,749,694,493,838,788,852,576,929,180,226,774,790,254,
001,457,325,940,460,307,543,614,419,163,146,302,879,779,215,547,757,730,185,
160,363,749,958,951,670,767,772,100,551,956,584,022,340,466,841,368,453,078,
853,699,076,783,137,269,647,232,847,523,718,727,600,592,272,472,831,482,914,
258,528,705,508,036,462,541,798,909,647,257,752,617,609,705,556,375,798,094,
311,090,445,965,400,561,568,254,006,261,425,451,591,994,643,466,133,985,578,
674,901,673,845,642,707,868,509,821,137,468,957,161,292,843,263,391,100,130,
796,621,901,046,057,986,710,241,803,671,270,644,227,935,241,592,699,541,582,
303,443,327,965,031,129,750,095,092,139,931,851,648,302,213,631,903,753,622,
502,632,359,580,616,872,639,575,608,427,497,463,415,922,445,149,012,545,657,
686,041,952,658,816,019,100,132,734,084,827,781,077,803,238,434,268,904,787,
102,782,536,077,531,522,789,460,111,959,176,039,932,240,155,040,910,504,120,
696,452,103,997,470,541,726,038,526,708,304,517,728,656,379,630,987,244,752,
685,002,984,221,522,559,467,251,081,526,363,803,111,631,805,757,765,849,836,
422,492,889,483,834,170,535,727,889,291,411,607,269,776,871,917,261,146,751,
255,691,102,585,498,934,117,607,324,191,958,975,315,445,331,318,784,958,032,
970,114,032,650,460,853,217,383,532,623,454,644,644,752,700,159,661,982,782,
894,589,172,278,819,905,915,902,517,837,035,473,227,773,743,869,434,307,952,
802,994,662,891,803,131,512,208,342,435,830,395,588,837,419,261,119,977,157,
255,295,061,369,773,791,578,422,653,822,929,077,081,654,424,277,521,941,242,
630,743,862,376,062,141,278,198,580,615,806,687,809,998,982,420,209,733,403,
280,829,981,541,736,663,375,702,088,912,529,352,613,571,632,257,275,480,768,
269,933,423,682,340,597,095,294,395,974,331,485,679,983,237,600,573,425,656,
527,291,077,707,662,277,031,760,671,880,768,384,907,042,038,782,233,958,289,
470,034,743,489,641,759,225,227,274,475,079,837,536,106,522,233,707,322,156,
638,392,829,227,741,146,864,764,137,002,897,911,877,762,465,324,181,941,661,
387,589,786,064,269,116,212,584,361,281,018,577,294,920,584,221,258,786,695,
206,035,947,520,918,906,075,130,364,398,601,036,688,174,512,851,979,010,205,
680,910,106,999,328,594,320,798,629,026,443,785,771,022,375,749,759,737,930,
194,250,750,746,426,104,949,619,638,682,473,131,880,824,325,022,923,247,675,
228,120,000,125,306,149,030,303,825,379,694,531,905,317,643,591,446,003,322,
694,714,320,290,496,591,839,538,078,830,390,139,329,341,741,335,015,114,442,
229,077,086,227,156,965,033,491,788,162,190,069,446,806,049,122,965,023,560,
245,169,109,909,102,942,639,540,489,606,694,252,412,783,992,468,241,186,739,
535,121,259,140,612,209,655,327,484,245,389,246,702,365,291,109,146,552,790,
907,423,105,887,053,339,369,262,272,588,831,843,122,635,623,564,422,482,816,
180,742,329,814,663,118,279,844,886,702,656,895,935,674,996,055,770,911,856,
745,155,315,931,500,626,650,486,811,905,879,510,260,535,120,326,222,499,062,
495,920,967,894,143,605,910,493,240,201,112,133,465,300,926,884,374,397,182,
957,817,557,447,085,873,563,472,919,567,534,095,057,294,960,589,680,621,681,
120,635,385,510,146,998,211,882,167,111,958,091,050,556,720,745,637,016,846,
603,677,667,550,866,883,106,252,407,171,223,557,481,246,281,415,367,779,402,
163,792,149,479,382,537,194,042,198,288,040,092,820,169,526,785,983,538,769,
024,153,270,170,256,806,101,983,362,414,719,936,789,796,567,451,309,367,566,
331,764,220,887,230,302,515,284,512,064,601,385,681,707,627,739,419,000,172,
538,211,761,846,498,071,765,093,125,148,637,430,528,765,649,641,314,225,107,
237,636,108,484,824,015,769,039,961,440,302,177,286,220,659,425,260,291,436,
776,638,105,313,118,723,037,754,440,120,511,810,527,096,837,699,064,597,726,
034,975,174,318,767,510,650,333,599,212,048,224,380,544,946,716,619,149,507,
823,342,860,855,202,965,609,324,557,057,969,625,803,458,610,963,192,071,343,
136,813,511,750,844,831,147,273,791,123,390,134,991,072,424,446,370,837,945,
664,623,442,320,221,852,399,684,291,112,076,822,131,626,123,465,869,087,743,
168,474,521,408,427,749,095,621,303,416,417,464,297,414,789,306,540,030,194,
593,443,894,446,538,821,382,300,434,747,258,426,287,705,202,400,603,425,815,
532,702,789,326,999,066,745,177,100,989,077,003,787,872,046,038,302,321,257,
222,061,228,885,876,754,687,167,144,232,298,410,628,862,137,493,962,317,671,
936,286,169,947,832,031,530,437,624,526,303,407,011,733,707,257,101,508,919,
071,788,407,804,897,679,893,042,438,742,782,085,081,920,778,521,569,256,329,
420,164,690,413,084,248,675,483,830,589,217,108,918,918,060,773,107,816,708,
901,862,877,194,421,569,142,184,287,554,833,089,583,560,314,970,150,112,305,
469,884,784,509,103,164,229,105,273,873,830,261,845,595,614,997,026,966,310,
653,566,913,646,348,659,709,581,901,147,010,766,378,641,927,168,394,429,493,
950,931,919,378,820,157,478,646,737,932,474,913,351,067,581,269,053,622,621,
204,581,636,005,515,007,963,636,747,061,028,186,669,012,832,432,222,755,056,
157,280,661,198,948,894,259,892,969,955,420,120,179,946,095,712,439,698,826,
362,792,087,264,278,826,416,171,893,722,320,888,094,291,924,365,251,229,237,
934,273,939,479,097,101,595,526,098,345,556,203,287,335,248,222,260,659,593,
261,714,240,441,680,697,592,247,811,925,610,604,932,645,025,084,519,235,081,
196,875,761,950,963,503,209,083,129,301,199,438,874,295,697,698,183,217,206,
072,790,868,288,226,008,666,732,542,469,576,093,719,195,851,043,301,477,226,
426,145,632,881,326,474,043,448,901,438,923,943,317,427,364,841,880,543,845,
249,903,936,808,077,422,254,221,465,914,781,581,420,829,012,244,338,290,807,
278,856,474,382,930,421,625,643,321,420,560,032,169,801,736,870,720,387,866,
841,376,790,378,227,311,538,528,487,141,823,671,926,636,236,383,291,551,046,
813,448,531,890,964,864,943,212,363,116,511,976,375,261,548,809,759,091,188,
712,573,194,418,007,213,953,591,558,263,888,318,326,354,378,812,492,281,455,
119,843,333,320,317,407,634,333,836,302,061,146,121,281,285,865,958,560,286,
140,105,018,079,780,956,352,199,692,943,830,186,510,737,208,613,847,869,421,
410,454,171,360,858,565,988,184,596,783,159,273,177,997,469,256,131,796,606,
451,199,431,994,136,289,753,584,825,654,304,797,436,236,854,852,834,371,789,
241,450,735,186,086,508,112,499,573,084,696,050,261,812,619,626,162,263,107,
004,052,619,896,830,232,721,974,975,026,944,489,785,699,042,626,300,120,092,
814,962,176,364,719,341,246,621,381,493,024,839,020,989,107,424,565,710,780,
011,506,951,566,602,411,433,249,744,857,225,516,038,888,721,668,528,696,965,
162,353,308,314,669,172,292,000,168,332,452,163,935,032,657,561,270,187,095,
659,335,074,389,877,869,880,695,578,782,072,627,021,594,942,768,175,740,050,
352,930,394,082,525,678,224,554,505,478,939,859,781,094,156,168,730,826,452,
381,896,479,789,004,586,741,426,253,876,579,512,513,546,843,283,756,069,436,
838,750,061,186,653,122,845,659,729,130,123,757,629,829,695,786,335,613,226,
565,411,364,909,969,506,451,827,115,043,028,085,335,758,315,710,869,303,483,
921,070,003,029,871,352,572,523,839,084,234,473,918,626,969,522,711,911,018,
595,755,704,893,225,481,880,943,671,177,010,165,265,518,186,168,280,882,309,
393,843,790,240,803,793,651,628,965,846,276,488,606,348,075,785,882,291,768,
521,058,628,088,975,148,079,512,719,833,959,384,040,081,488,021,624,990,596,
193,994,489,036,144,259,208,901,819,015,326,254,018,561,292,597,228,696,160,
428,246,500,862,385,993,738,061,215,974,682,130,498,393,973,670,862,860,836,
216,902,080,431,160,053,565,461,270,675,462,178,383,902,639,342,599,377,053,
783,386,519,581,650,622,734,759,372,129,696,560,696,891,395,593,840,570,335,
114,952,431,792,298,159,843,272,095,793,837,748,760,450,189,191,822,915,873,
572,894,054,476,062,008,755,530,475,187,894,886,914,758,302,478,236,758,527,
284,144,175,917,511,129,248,570,978,387,731,521,262,888,041,474,796,913,915,
167,149,861,449,095,604,793,964,083,825,227,484,693,137,090,339,578,943,256,
553,329,460,332,606,592,673,606,667,165,215,144,564,556,156,564,557,943,892,
648,454,417,036,531,434,636,826,552,157,976,070,830,527,494,120,507,211,020,
270,415,219,489,583,386,261,081,950,784,504,051,942,568,416,967,459,414,737,
723,582,291,641,640,595,549,537,631,159,728,089,877,829,616,637,054,618,717,
791,756,911,522,954,664,748,164,660,621,048,662,575,033,753,248,586,861,449,
031,840,082,124,400,202,630,445,771,983,068,747,418,206,707,660,864,648,250,
394,264,516,027,662,860,436,617,768,859,768,413,379,750,382,623,046,210,323,
666,905,339,007,993,701,672,387,525,609,890,590,936,924,503,970,525,139,251,
926,046,238,018,406,391,066,658,527,895,877,401,091,269,206,553,157,294,695,
757,582,986,216,369,985,526,963,584,445,744,428,075,348,159,639,359,168,871,
163,525,540,263,003,351,185,779,618,835,752,522,323,741,116,563,060,748,069,
476,496,247,349,219,860,368,173,062,987,212,101,358,759,774,977,747,542,256,
950,369,211,069,677,110,443,158,861,304,110,063,446,649,256,073,808,110,195,
777,305,669,676,250,558,996,447,114,452,028,385,861,662,473,632,776,193,601,
687,320,343,716,743,941,186,760,343,890,416,142,513,480,380,130,480,141,873,
775,770,190,194,862,143,734,161,236,382,992,711,924,062,832,046,022,255,091,
465,034,685,819,982,685,623,924,642,785,773,398,548,555,235,061,436,568,529,
459,762,516,030,407,506,960,381,851,889,465,570,334,549,065,158,150,517,253,
689,380,625,044,726,884,349,509,223,988,688,468,097,791,870,658,473,646,858,
448,652,465,242,785,345,691,389,919,052,525,113,917,375,667,554,485,955,665,
799,833,047,468,454,518,467,636,956,214,894,243,631,801,683,405,747,936,514,
580,885,018,985,340,364,743,428,342,798,805,632,783,770,461,749,641,238,973,
526,015,880,032,550,058,564,381,839,544,014,543,263,439,603,291,741,290,409,
612,133,170,184,338,128,912,252,015,065,976,812,334,107,200,751,956,701,672,
265,935,755,823,722,383,224,891,927,395,123,329,551,110,336,847,776,658,756,
910,252,879,395,530,742,961,341,606,682,731,307,468,601,778,213,478,814,567,
705,902,025,577,148,849,796,259,966,108,021,225,544,273,490,856,923,579,383,
778,508,410,130,852,177,415,457,397,638,175,626,599,284,863,563,308,833,597,
024,844,838,893,269,588,437,724,012,084,903,916,492,507,466,516,363,237,243,
875,321,591,105,143,869,335,273,509,022,130,756,173,371,118,085,037,540,255,
944,748,549,371,677,192,935,787,677,274,001,451,958,598,168,024,176,167,987,
574,307,338,274,551,880,951,823,021,938,220,579,227,851,079,433,151,299,429,
357,550,281,553,362,354,090,240,745,654,450,478,873,023,734,942,850,422,922,
341,326,676,744,013,774,243,247,576,586,317,240,505,206,266,849,469,896,886,
212,293,008,992,735,008,266,380,104,372,097,108,344,024,136,570,997,404,651,
791,254,110,172,750,025,471,620,398,790,800,478,137,859,919,281,175,621,738,
759,081,035,344,806,835,449,776,566,452,813,345,049,344,779,306,837,102,851,
365,624,246,507,213,859,574,254,927,718,098,316,619,639,856,812,728,024,892,
747,436,793,750,856,664,826,033,844,988,231,664,338,544,229,043,512,977,004,
044,019,782,754,844,967,478,349,020,204,357,785,742,482,032,533,922,545,269,
409,326,944,532,668,835,142,873,821,224,517,075,933,460,695,693,116,113,922,
690,276,364,643,030,549,699,708,521,146,903,873,229,538,693,407,244,777,815,
812,429,258,537,374,527,147,785,008,781,386,495,952,763,621,617,662,356,120,
602,175,406,980,920,309,833,183,345,061,949,614,441,991,078,133,529,553,855,
484,579,484,547,716,237,122,238,306,820,899,365,295,248,951,403,257,918,885,
736,739,201,192,001,960,768,384,093,802,799,447,801,522,204,352,560,835,054,
910,740,323,604,018,354,204,453,664,028,316,309,034,463,397,661,019,839,544,
678,556,736,212,786,864,691,372,303,593,827,341,332,975,154,185,155,434,932,
704,996,934,014,141,236,086,013,435,212,974,679,397,537,848,360,789,849,903,
865,103,726,073,390,218,660,685,431,366,770,997,353,456,533,899,172,335,279,
007,236,645,062,532,832,760,099,069,928,315,684,143,331,656,473,052,317,785,
218,829,806,487,851,500,176,837,602,556,562,250,391,996,332,348,494,517,720,
298,833,283,237,238,163,201,813,367,311,645,405,391,289,081,346,657,317,785,
803,779,872,471,440,032,061,477,528,766,252,710,069,492,263,644,666,675,964,
786,223,155,800,050,047,556,046,330,527,301,796,927,094,416,141,417,546,210,
326,663,377,226,594,616,402,441,278,437,526,671,463,390,180,181,274,887,328,
039,018,100,891,585,365,956,443,768,509,194,840,808,874,275,589,853,564,745,
741,027,677,249,700,800,563,495,830,080,892,000,373,478,532,328,167,680,678,
072,192,876,118,355,717,719,456,806,732,927,851,929,562,718,612,981,109,468,
869,175,852,610,654,550,869,286,240,920,893,623,023,012,231,176,722,937,616,
782,026,314,639,616,967,526,481,181,049,800,364,814,733,297,980,585,049,828,
593,619,460,941,241,270,788,719,996,641,552,109,835,253,361,818,504,463,961,
690,191,608,120,395,473,982,305,682,926,866,944,792,181,919,262,520,641,316,
656,112,368,686,883,924,170,166,358,600,007,162,322,388,888,978,181,849,280,
602,129,143,653,501,113,567,546,186,230,817,330,036,940,717,699,926,970,332,
196,865,520,249,220,901,049,086,951,431,871,720,700,941,893,860,665,014,205,
930,552,750,223,594,362,804,256,169,513,079,912,820,502,034,560,248,905,600,
905,367,829,962,759,679,180,575,034,049,459,263,597,579,411,465,869,307,172,
299,010,426,100,938,685,908,267,857,157,887,879,623,271,785,854,882,054,605,
221,095,394,725,155,204,451,902,911,364,115,949,261,908,701,953,182,119,721,
291,389,231,567,732,324,493,633,029,192,755,687,700,574,865,443,991,685,794,
723,425,286,452,592,678,177,143,241,958,231,571,293,932,442,742,517,001,762,
188,804,217,520,491,951,826,851,288,632,120,753,976,487,169,036,692,124,584,
157,512,047,663,219,917,765,710,633,749,124,200,997,710,907,731,046,638,386,
212,227,210,488,251,687,496,015,374,126,457,663,163,221,297,673,335,215,170,
843,546,542,620,263,086,343,064,091,487,980,024,969,995,621,304,357,776,007,
475,368,224,088,620,413,447,765,455,459,056,393,688,564,196,094,355,209,484,
761,331,573,234,249,028,798,908,245,887,584,723,530,449,967,249,133,791,614,
409,965,533,779,301,049,242,955,039,365,083,114,185,535,426,429,079,182,251,
270,850,997,078,564,685,629,772,454,234,866,621,887,176,897,001,846,394,880,
318,792,332,628,993,810,477,113,830,601,588,954,566,910,911,586,033,579,798,
081,853,501,004,846,758,685,206,124,163,596,711,123,369,433,039,401,758,884,
052,378,857,622,811,387,768,225,987,356,547,424,707,767,225,983,950,968,138,
687,443,969,309,563,599,216,773,910,034,100,611,675,010,856,398,919,165,927,
332,477,484,708,357,557,058,753,034,670,342,456,210,461,224,096,389,362,561,
988,289,882,056,131,063,230,818,090,664,192,375,671,414,255,535,975,851,242,
974,796,163,751,520,261,891,986,507,525,707,393,755,724,561,206,890,504,091,
358,175,529,744,781,025,277,642,150,138,998,325,293,190,414,009,433,012,966,
267,991,008,825,678,758,778,120,819,831,578,111,336,399,724,231,547,450,833,
268,701,996,186,322,275,360,767,022,294,861,974,606,205,731,864,332,737,788,
254,128,360,034,230,107,399,882,173,846,670,829,771,241,443,081,895,676,058,
530,370,092,208,647,340,157,859,870,105,212,476,496,733,237,325,199,812,113,
207,596,276,914,592,988,360,935,328,923,109,468,830,469,627,094,248,042,453,
352,305,091,299,234,828,033,299,652,027,628,106,503,304,426,711,186,679,696,
760,696,199,372,300,081,062,512,739,446,009,138,717,899,866,561,407,993,333,
677,749,009,028,241,379,737,108,201,458,467,331,394,623,145,662,726,960,442,
227,921,387,275,177,408,609,515,299,666,897,659,520,250,260,383,672,016,408,
837,647,746,588,834,679,020,581,788,776,241,048,144,042,537,146,782,865,417,
730,287,080,727,561,765,534,016,763,008,418,081,862,056,392,927,643,465,623,
521,325,809,977,170,207,971,282,637,013,942,607,213,295,939,307,136,655,432,
030,003,532,491,327,499,942,609,725,566,002,295,790,672,406,108,422,720,406,
970,315,274,304,883,610,213,489,467,294,859,760,937,840,357,743,507,903,159,
787,809,788,450,631,685,957,079,787,419,494,398,749,723,148,572,069,895,069,
656,304,534,889,954,378,337,085,247,890,352,444,881,231,334,758,102,418,752,
784,426,696,350,863,106,223,982,275,611,496,812,607,377,326,274,294,025,467,
643,098,388,553,963,638,770,304,167,089,739,566,488,340,794,215,169,100,504,
737,937,565,929,460,977,510,862,882,545,058,443,515,032,744,713,589,937,843,
543,534,997,109,902,656,698,799,816,132,581,865,972,625,471,856,934,789,252,
974,566,760,521,182,225,364,343,988,372,200,491,538,557,637,284,131,677,004,
530,475,765,466,207,874,442,489,784,403,906,813,199,497,136,514,436,603,518,
255,722,904,680,622,046,062,624,576,398,471,135,565,942,964,326,327,733,231,
388,944,626,156,740,944,724,404,887,103,191,697,259,371,024,624,266,265,689,
996,846,218,902,140,219,634,544,994,305,667,743,464,217,110,394,303,968,255,
315,769,996,904,272,036,031,939,356,424,098,956,499,135,481,910,136,006,508,
999,686,450,081,602,324,121,808,938,534,551,556,310,161,491,429,950,818,010,
881,653,923,803,064,739,035,461,428,193,399,916,493,055,920,844,986,013,296,
654,602,478,955,633,935,171,659,206,035,433,785,270,520,209,825,383,789,734,
180,982,118,036,607,203,043,901,487,940,458,155,064,804,844,566,149,202,614,
507,321,989,361,756,581,408,808,463,116,179,991,954,219,231,176,604,456,804,
668,237,422,639,969,478,948,161,360,522,432,667,302,508,220,210,393,362,637,
252,540,114,793,737,573,883,387,376,097,852,377,678,828,837,976,322,640,888,
564,803,715,277,766,792,031,342,903,175,174,691,619,450,507,287,163,143,915,
590,700,794,443,985,875,789,286,148,045,607,594,174,068,227,002,492,310,812,
215,122,484,695,752,998,514,803,357,489,002,248,598,810,175,335,920,520,998,
853,412,040,163,607,900,820,480,025,390,871,593,863,862,791,532,446,262,137,
572,959,482,282,533,728,742,639,743,948,912,299,267,105,225,547,354,802,650,
474,377,829,947,020,950,875,436,818,163,995,787,549,170,261,731,641,815,038,
087,463,747,437,095,525,048,078,406,540,255,845,911,244,452,281,769,258,276,
010,445,771,680,065,985,274,349,980,921,282,680,303,090,397,218,287,044,615,
844,984,542,590,025,815,083,055,110,354,734,830,548,400,437,290,305,877,963,
299,118,010,887,739,636,841,500,663,740,666,096,822,940,708,531,298,755,983,
363,439,526,396,689,904,634,756,027,268,203,646,561,445,028,495,039,662,540,
190,933,699,793,345,759,957,381,481,846,253,026,332,312,062,470,139,186,599,
377,768,396,123,362,449,668,917,328,008,861,307,449,535,074,740,282,440,728,
940,024,212,073,922,674,369,886,835,463,578,538,754,565,364,509,567,761,769,
814,513,008,095,906,945,067,855,568,196,171,045,068,531,349,332,840,020,118,
310,536,338,323,673,439,637,615,922,139,484,439,872,623,123,483,895,070,214,
912,210,830,063,147,606,459,825,428,407,797,712,837,995,005,049,996,907,271,
635,891,813,071,426,107,562,912,176,009,642,977,215,139,915,015,388,957,265,
691,085,311,279,709,971,437,028,138,306,359,773,987,516,358,470,799,080,887,
091,466,545,663,483,743,646,059,876,188,138,106,739,871,687,272,458,578,995,
522,192,355,922,088,410,206,055,485,704,145,844,618,334,820,239,527,003,568,
291,914,538,438,123,770,402,567,848,259,300,022,407,278,021,797,667,031,337,
874,840,353,346,406,217,518,722,516,592,910,088,957,865,522,974,240,409,995,
396,454,502,896,029,436,485,106,336,870,907,626,273,311,254,128,986,699,995,
679,362,237,066,667,775,573,924,400,716,264,865,087,639,409,958,584,372,068,
380,628,236,222,543,013,543,073,162,649,060,796,961,400,720,062,026,911,532,
406,853,067,965,758,898,620,618,380,921,397,980,397,681,278,775,868,527,754,
602,176,978,842,416,991,358,296,386,029,049,916,415,460,827,677,642,455,121,
459,915,518,404,358,607,474,825,313,643,339,452,729,827,133,135,554,778,609,
573,217,564,162,201,819,640,229,810,203,365,008,217,342,578,065,284,006,253,
803,677,124,862,616,854,625,908,408,587,026,580,834,462,905,197,611,694,082,
002,753,010,792,354,001,808,017,165,103,366,730,840,753,926,294,780,535,846,
026,845,544,479,330,925,049,069,510,046,099,619,082,994,166,296,193,551,933,
925,314,329,452,882,095,173,041,102,033,220,383,550,010,461,537,688,861,513,
063,720,435,212,078,746,678,172,201,481,145,918,887,949,857,595,656,234,008,
971,236,421,973,917,282,113,686,301,055,469,240,279,618,283,010,193,572,536,
610,887,407,346,183,762,552,100,383,595,397,877,010,969,740,975,517,341,244,
278,339,303,415,846,594,801,332,349,437,191,989,747,960,642,147,725,601,499,
747,425,792,783,398,385,990,115,210,002,729,198,199,369,096,966,021,041,052,
181,018,909,161,032,957,283,246,080,712,370,602,237,875,976,039,657,122,685,
343,664,675,235,896,972,885,497,236,762,674,254,473,244,753,271,780,544,782,
544,535,687,656,357,887,454,905,451,222,905,634,149,591,775,697,866,529,661,
730,136,390,071,767,448,436,987,079,714,606,125,111,009,786,103,714,074,080,
437,433,172,419,417,381,268,333,356,301,917,517,516,998,323,552,470,901,975,
691,929,053,005,907,238,144,279,307,895,632,339,203,477,102,911,704,451,241,
912,536,940,011,980,429,302,650,362,758,684,289,069,432,278,771,426,876,261,
753,146,226,585,392,177,417,519,464,039,712,975,718,385,197,498,096,505,322,
517,578,174,633,050,191,306,632,882,064,123,550,614,502,998,238,780,393,811,
919,225,312,272,234,353,757,222,448,320,522,320,745,043,523,786,302,092,174,
619,934,024,211,111,500,309,046,531,637,869,229,113,328,031,929,652,201,794,
556,795,592,092,177,296,854,236,627,066,123,444,366,073,916,945,229,146,601,
320,581,740,971,540,313,433,783,873,329,427,228,761,246,488,946,346,388,453,
450,028,944,567,114,022,948,586,261,459,132,100,309,498,345,250,493,361,572,
453,916,395,765,353,687,848,110,634,443,007,941,821,659,313,076,641,186,214,
364,468,081,623,415,287,730,027,004,106,882,888,275,052,101,515,183,730,472,
753,610,974,319,815,547,172,673,684,780,208,612,784,753,770,456,654,819,911,
428,522,754,790,889,752,788,544,876,233,998,209,004,612,467,843,468,244,912,
552,196,236,844,385,356,467,803,617,573,624,809,085,892,595,155,039,918,094,
688,272,355,580,375,419,665,891,734,138,336,027,126,060,519,465,826,206,546,
157,594,502,958,271,547,657,442,671,936,965,538,094,635,953,221,611,839,769,
829,576,426,481,368,166,613,661,119,104,072,991,478,251,579,208,238,367,512,
201,669,720,822,833,272,516,716,903,724,069,425,506,034,174,856,336,477,756,
360,561,392,219,469,329,578,320,919,934,633,476,094,010,175,359,392,651,945,
588,374,864,114,860,982,547,661,482,679,254,622,338,889,992,546,406,091,651,
708,432,971,046,067,267,293,552,211,683,467,076,464,738,074,263,509,117,885,
601,930,092,300,237,512,009,927,055,591,253,470,869,992,877,727,556,387,835,
844,136,095,577,753,089,615,234,355,564,343,738,490,583,891,110,111,264,679,
657,362,413,084,530,731,212,337,414,806,975,905,369,640,891,192,722,486,571,
997,371,949,252,691,181,679,053,904,111,680,078,053,848,541,052,606,274,739,
406,951,729,192,916,418,233,281,070,189,406,448,114,560,893,956,350,789,747,
654,534,825,861,119,807,824,471,664,367,651,529,973,358,010,975,935,064,901,
672,361,535,563,500,401,284,770,428,017,800,210,207,168,613,624,360,639,194,
392,589,241,678,267,277,277,751,580,534,196,948,131,854,775,242,073,636,098,
973,605,812,676,403,126,990,503,471,922,322,090,782,776,445,404,983,092,875,
456,540,408,193,524,839,986,995,249,686,534,271,618,350,400,380,591,058,494,
110,534,617,182,037,163,897,376,292,719,574,335,347,824,141,045,295,059,144,
603,433,982,762,520,305,599,348,840,061,896,381,595,920,484,422,290,709,907,
562,659,119,553,591,922,497,569,370,104,687,888,088,976,361,238,201,089,060,
558,487,040,284,067,069,708,865,941,621,605,348,808,559,512,436,919,572,618,
486,285,138,046,984,526,022,589,187,697,954,479,781,593,036,829,210,412,226,
664,697,602,697,541,392,409,662,841,006,266,963,103,735,918,323,846,873,041,
710,581,011,188,035,705,588,162,945,565,560,587,066,113,937,261,278,619,140,
206,914,475,296,923,655,180,067,277,029,439,390,621,586,602,282,619,641,551,
767,927,651,365,392,787,811,141,243,924,296,928,302,593,414,637,704,794,557,
578,033,967,308,465,026,736,545,877,214,146,722,589,841,234,823,059,077,160,
895,688,301,643,647,648,557,618,064,402,540,625,729,573,165,734,203,729,628,
964,976,325,681,335,291,197,150,691,972,528,295,168,200,103,433,418,055,845,
060,498,054,199,404,054,273,083,784,286,781,044,030,976,940,848,826,938,387,
955,448,874,257,195,340,123,302,211,753,104,464,651,608,199,364,029,003,601,
537,416,595,326,275,542,785,143,158,738,287,456,817,686,850,572,315,384,582,
115,421,046,779,776,987,876,453,104,595,842,654,441,852,378,503,440,636,705,
348,527,214,407,299,104,619,553,173,540,137,816,484,039,296,801,519,385,985,
552,262,641,868,734,405,212,062,977,088,686,370,007,969,721,655,099,036,524,
684,670,016,888,653,410,975,872,750,474,472,410,385,998,024,797,641,586,978,
445,882,563,013,409,942,413,440,811,270,638,158,465,264,694,397,125,084,494,
555,756,099,990,067,977,568,159,831,524,679,474,641,289,954,280,332,121,273,
719,058,626,128,169,342,533,581,131,055,018,402,318,423,385,118,440,801,568,
267,057,060,682,814,261,610,162,638,299,304,531,932,215,122,366,561,087,368,
076,817,741,705,718,520,622,575,402,225,328,740,223,904,699,536,412,090,293,
557,116,136,771,179,294,214,082,704,809,212,761,027,481,890,638,422,043,257,
125,755,399,050,132,332,820,182,650,246,446,806,405,759,641,987,505,134,574,
026,815,270,837,123,174,509,048,408,991,930,777,646,971,335,484,633,966,038,
015,444,844,306,185,401,101,792,747,669,766,335,877,611,331,070,525,485,873,
557,130,332,132,105,415,589,145,166,055,638,626,300,519,164,930,042,377,909,
851,775,470,561,323,125,076,889,634,072,489,523,317,565,026,184,074,624,768,
489,124,301,506,817,416,828,335,627,655,250,572,586,567,710,621,300,909,269,
578,512,203,760,532,274,276,297,482,826,130,321,096,755,046,262,551,198,090,
426,986,767,068,235,364,685,779,187,656,438,817,652,881,730,449,518,786,956,
465,300,349,004,370,301,454,337,605,978,935,832,413,916,050,285,638,396,358,
664,723,173,713,114,960,655,546,623,566,477,203,929,965,884,317,184,868,237,
203,109,986,637,572,725,093,706,641,704,135,702,710,440,039,895,855,399,382,
871,623,157,885,135,709,342,637,893,230,935,628,008,057,605,944,665,355,254,
688,981,674,776,367,673,894,554,799,440,269,917,477,058,499,534,226,694,041,
037,744,568,320,962,831,986,724,749,688,537,602,371,871,279,174,879,376,088,
679,127,629,325,540,900,762,463,213,430,875,675,275,403,552,754,690,897,983,
610,384,026,507,590,579,416,536,503,138,459,978,001,265,804,513,455,125,906,
232,535,429,923,154,373,187,529,378,859,622,907,424,764,555,513,158,340,780,
732,359,327,638,552,998,721,055,078,600,487,475,626,613,587,210,069,991,358,
571,820,542,127,464,137,509,180,504,852,368,249,839,620,870,008,270,218,958,
219,357,689,662,824,802,461,629,493,130,344,969,372,551,386,099,072,283,522,
069,714,998,634,424,482,512,058,427,731,162,640,306,690,802,753,968,403,467,
284,859,819,582,502,633,684,555,996,978,131,660,038,357,126,420,983,162,184,
374,901,952,064,294,388,093,843,007,350,091,902,223,972,122,119,086,806,301,
367,826,033,684,444,067,552,699,067,683,996,737,454,686,373,659,247,537,923,
036,331,704,170,113,240,287,519,242,152,031,364,586,372,815,550,870,178,972,
100,346,512,563,661,951,461,299,884,299,501,150,587,496,825,518,075,359,724,
336,548,246,868,580,509,375,383,726,398,916,663,680,248,125,212,489,244,617,
413,154,266,644,807,313,227,662,263,661,113,599,992,962,458,994,784,081,184,
356,404,379,084,574,588,121,128,392,913,790,989,222,749,960,793,223,278,864,
442,390,402,267,106,442,109,155,976,692,794,725,332,662,350,764,254,202,411,
558,814,106,459,507,180,010,141,327,444,139,255,315,502,195,175,543,350,331,
352,247,541,299,610,920,102,753,449,349,036,461,900,556,298,463,430,516,483,
854,106,493,137,539,748,878,941,508,085,728,431,972,348,597,524,705,345,299,
791,630,584,551,364,945,014,545,413,505,262,811,377,671,837,223,915,557,556,
632,153,798,457,619,242,780,669,100,993,347,759,625,891,635,663,152,955,573,
785,018,915,293,385,587,368,775,066,623,267,506,073,458,928,582,664,994,372,
873,826,475,417,949,939,791,083,748,656,463,264,391,118,469,706,459,259,642,
556,413,643,796,881,529,480,883,224,417,028,112,286,347,222,888,390,332,361,
732,702,537,834,603,735,392,703,615,235,495,002,323,200,668,708,746,907,493,
350,564,880,777,623,876,520,433,397,046,109,952,211,443,201,085,078,073,141,
505,333,840,837,357,467,051,357,206,096,093,745,093,117,992,296,356,592,827,
627,205,765,290,948,378,948,259,203,154,123,411,183,633,532,850,701,861,117,
040,473,641,650,337,603,996,984,710,361,377,720,803,954,585,511,026,934,569,
870,434,667,313,418,340,729,725,743,694,867,895,392,251,023,481,405,047,888,
419,541,932,618,566,859,337,363,997,236,101,418,179,148,185,396,779,702,862,
378,587,180,714,175,125,717,548,447,798,377,755,821,015,151,058,248,663,047,
586,159,154,472,508,254,896,903,725,801,806,716,954,104,855,471,413,018,168,
358,411,606,773,091,574,249,900,968,662,504,337,886,567,739,768,327,343,106,
454,624,831,046,375,454,349,390,508,883,504,415,121,825,221,637,188,596,601,
800,298,630,011,247,539,833,322,397,928,880,576,697,058,743,677,446,318,944,
362,326,312,118,393,209,160,966,364,901,333,066,336,473,893,354,144,523,387,
035,792,644,170,602,404,719,674,455,113,872,819,407,202,863,830,369,031,539,
967,528,285,715,519,609,790,815,384,299,048,018,341,617,176,286,498,046,882,
013,880,225,550,716,159,208,950,770,405,191,971,564,612,865,820,223,131,632,
581,404,370,894,445,872,488,333,186,745,465,007,662,697,850,927,969,167,824,
629,483,095,667,157,646,841,263,076,916,048,995,220,557,358,722,765,429,066,
487,991,409,101,167,218,734,418,002,313,704,649,504,913,446,905,662,821,880,
808,293,256,003,782,475,665,110,833,701,424,740,131,153,738,779,537,906,178,
747,529,166,712,638,909,131,600,223,522,285,353,782,941,088,413,797,061,517,
454,419,195,242,895,856,827,958,188,946,584,421,685,676,784,305,161,665,233,
426,142,329,683,215,301,434,450,361,511,638,431,694,253,367,226,482,599,444,
876,112,906,158,224,591,428,498,162,738,066,632,054,847,286,737,607,954,070,
864,042,389,532,548,303,612,478,895,505,990,246,723,153,473,268,746,317,885,
286,386,856,682,754,660,063,986,467,839,633,540,859,121,298,074,301,010,559,
278,829,977,882,534,530,313,894,340,668,964,451,576,489,414,094,969,943,293,
182,735,904,824,804,582,975,056,273,789,782,807,400,540,945,738,955,759,062,
208,327,402,682,503,647,787,695,681,198,717,119,086,576,176,525,212,443,926,
238,120,382,181,312,907,834,939,270,554,037,871,997,467,523,447,418,625,732,
108,985,509,762,522,771,668,626,718,994,640,880,735,887,528,572,264,199,625,
262,201,011,187,719,686,055,747,846,754,634,079,356,180,644,268,269,625,985,
937,587,236,410,819,911,667,583,630,683,804,033,462,906,578,511,741,476,791,
091,267,192,407,973,739,972,894,216,251,449,132,111,745,155,377,903,878,523,
026,128,098,743,558,941,067,962,314,196,154,014,158,588,542,011,828,285,066,
373,859,834,975,309,713,069,797,382,040,450,807,796,269,736,717,843,444,026,
233,340,505,589,392,636,568,181,942,971,435,893,375,253,286,825,526,875,778,
494,976,343,966,156,200,876,853,159,616,658,046,560,566,734,669,953,857,231,
770,156,507,112,305,853,935,307,304,231,308,122,902,536,580,058,239,361,398,
852,894,072,837,074,695,150,253,941,177,014,680,971,219,229,308,666,707,334,
695,296,806,600,545,199,519,913,604,786,608,472,925,923,855,699,811,388,756,
549,563,221,263,483,654,458,188,368,125,520,871,791,019,251,504,009,714,934,
187,115,391,798,919,617,759,642,471,358,685,608,283,706,770,080,534,680,698,
196,032,942,325,524,641,260,431,746,672,772,498,233,813,339,407,824,164,663,
774,423,417,824,073,284,208,656,927,236,866,212,424,574,965,648,182,818,051,
587,969,252,480,886,284,835,499,583,180,259,073,454,501,269,393,056,622,879,
989,221,919,121,644,263,978,174,397,045,572,759,976,472,712,543,259,018,065,
785,456,963,570,940,278,957,533,796,330,950,815,309,265,751,539,122,497,968,
798,078,219,413,689,868,999,454,229,132,167,427,485,510,356,190,053,938,578,
546,880,303,022,826,402,177,964,983,466,543,416,790,715,620,404,425,693,430,
745,814,853,837,872,808,570,655,745,269,643,620,216,439,389,076,760,246,526,
455,987,766,003,858,317,141,868,322,519,144,775,807,250,167,759,682,989,936,
456,269,535,629,462,159,007,338,957,520,555,527,370,126,620,748,376,434,761,
683,978,938,466,450,436,187,985,491,050,828,922,666,795,710,519,022,271,175,
285,200,596,810,781,434,931,007,812,133,185,219,659,948,525,313,880,942,798,
641,602,644,265,757,869,018,442,596,408,051,166,914,808,110,581,041,167,839,
644,645,743,029,469,624,123,395,877,622,278,497,616,658,630,838,996,352,997,
973,415,827,617,042,504,338,832,472,663,602,490,268,420,929,230,866,461,626,
396,396,450,357,559,800,978,442,763,303,817,540,313,430,627,535,608,289,092,
621,404,946,515,821,394,353,297,412,113,749,460,246,740,666,471,882,312,635,
332,678,101,402,348,814,530,871,865,223,055,001,478,068,276,651,208,750,306,
938,946,215,251,557,308,873,612,115,048,052,270,296,943,937,701,800,868,248,
344,212,690,992,469,686,058,283,133,656,468,632,523,890,464,908,243,203,897,
525,184,722,126,217,550,660,904,439,900,969,699,332,383,341,111,281,134,401,
173,350,079,062,311,670,049,009,416,711,471,760,487,021,582,346,089,629,771,
150,696,047,105,188,642,883,398,507,774,180,303,013,493,282,050,559,724,104,
638,537,405,374,581,344,016,837,759,151,707,004,009,777,925,256,627,687,476,
259,725,190,759,301,182,781,593,401,991,799,681,166,529,672,017,008,956,371,
458,712,992,631,331,252,156,867,218,303,972,304,934,646,181,483,054,767,220,
729,155,086,445,924,784,562,364,095,564,989,985,944,416,076,247,779,495,888,
179,145,364,179,771,785,563,598,886,542,760,249,116,426,141,240,241,136,516,
959,790,747,767,167,147,821,967,560,672,281,572,075,832,066,139,744,603,607,
546,188,980,941,728,262,272,250,005,259,736,537,522,108,279,576,343,246,314,
092,429,236,358,771,674,442,293,860,371,195,624,571,547,207,931,467,979,883,
074,429,380,623,607,294,804,366,765,499,131,055,900,963,538,871,178,928,035,
100,512,547,966,902,886,363,382,984,444,872,345,690,882,488,497,663,675,359,
662,924,694,091,319,809,982,542,192,420,672,331,888,558,209,473,658,629,579,
136,312,727,149,969,581,263,505,343,424,671,902,659,209,114,105,738,773,299,
389,047,845,344,833,105,517,106,599,234,016,288,861,467,486,592,424,013,071,
623,184,334,998,000,263,704,792,490,260,771,406,106,119,905,983,937,857,478,
188,661,228,910,839,609,064,201,022,737,849,284,131,801,483,963,116,604,116,
252,736,269,721,050,191,599,426,013,473,512,258,038,189,215,803,184,170,864,
688,992,891,982,315,533,509,742,614,256,455,537,253,337,011,922,008,586,685,
674,928,152,700,883,680,674,607,113,575,968,984,740,974,095,902,452,117,879,
874,367,094,676,696,246,887,283,186,592,029,408,938,515,887,900,436,071,098,
937,188,439,546,068,053,094,506,998,342,776,945,801,814,594,190,148,806,779,
257,516,231,090,115,939,236,351,189,607,230,862,464,141,629,989,405,362,965,
856,745,207,147,609,314,717,389,335,830,667,482,615,023,388,310,046,531,099,
967,306,042,346,923,065,576,458,668,494,159,488,520,597,888,779,638,237,211,
969,022,500,522,122,445,521,385,462,267,111,033,860,682,837,376,015,547,903,
156,157,385,482,094,823,687,723,846,731,686,209,528,849,164,240,051,483,453,
067,825,150,337,089,014,807,159,946,343,111,210,068,218,120,512,942,270,570,
216,436,175,951,324,379,293,311,181,138,152,922,155,371,535,642,562,822,710,
435,145,296,323,434,619,404,444,171,580,878,442,345,066,164,600,257,846,247,
978,283,294,339,838,698,651,824,958,997,563,188,421,951,852,317,526,426,966,
123,397,267,455,571,618,911,997,819,450,420,978,094,582,241,954,053,491,237,
982,082,571,583,486,325,550,177,095,123,723,710,906,446,831,508,655,401,001,
771,975,715,866,332,813,043,648,344,736,240,075,084,122,732,553,821,406,351,
319,577,525,607,728,784,560,551,078,351,056,340,072,167,526,041,552,544,967,
377,791,402,084,670,121,290,227,245,346,076,071,015,015,704,573,580,765,904,
625,235,288,673,704,192,228,140,595,767,825,212,354,179,266,620,897,762,662,
930,182,009,286,987,763,345,452,744,477,848,667,017,504,037,469,753,744,202,
989,498,407,376,062,563,891,908,668,429,922,273,664,517,468,145,344,706,330,
275,885,057,196,114,989,437,435,105,700,129,250,141,457,017,583,097,113,146,
185,719,305,169,231,101,900,868,252,455,958,162,123,209,159,989,348,063,406,
165,653,929,501,821,359,878,350,158,676,125,507,957,761,933,725,294,253,619,
585,188,046,260,368,105,008,884,592,889,567,124,048,655,545,344,031,654,124,
435,047,295,945,998,942,071,896,258,247,404,522,563,688,709,648,139,566,830,
297,199,111,436,237,843,975,209,061,873,942,675,994,939,611,207,802,629,704,
084,470,354,804,185,412,858,884,094,087,507,404,875,972,640,249,226,983,898,
800,858,819,459,182,050,288,763,339,675,585,563,065,825,576,985,422,174,860,
996,863,604,108,448,415,857,879,332,980,585,838,309,161,080,556,183,876,430,
330,370,009,797,560,745,474,707,978,070,233,887,085,544,470,745,649,620,827,
039,069,732,045,682,174,643,857,303,735,854,527,789,301,687,306,543,510,236,
675,627,749,116,454,352,264,676,163,611,828,889,861,550,757,511,545,567,455,
037,391,845,818,992,539,494,383,621,014,739,279,024,805,567,361,128,578,128,
472,828,534,326,180,300,534,247,892,386,663,071,809,121,480,906,968,671,240,
256,803,313,607,447,522,015,376,388,815,492,321,828,676,844,241,612,287,162,
392,994,119,679,751,725,217,452,976,035,101,876,552,077,875,550,734,030,613,
464,047,569,075,670,745,219,253,224,283,859,799,030,595,669,267,537,911,852,
086,190,185,341,528,779,878,818,541,433,122,842,123,526,321,440,057,235,045,
525,959,322,362,165,951,399,465,779,859,343,646,512,899,449,879,596,882,925,
990,339,292,751,172,578,917,902,176,904,999,249,747,459,014,065,746,299,437,
044,060,498,668,550,260,357,728,308,816,680,123,236,789,585,482,559,929,886,
320,809,568,675,457,323,463,534,150,430,661,604,526,664,297,208,792,190,186,
242,968,817,893,568,237,128,925,189,980,136,143,982,969,418,637,668,773,068,
509,992,464,766,053,810,461,448,090,946,697,206,222,864,780,143,259,095,387,
838,877,269,908,946,168,439,717,760,615,854,855,558,879,627,007,575,628,304,
012,489,417,427,073,709,883,993,573,872,495,695,537,797,124,794,748,786,965,
344,567,240,851,165,915,839,306,316,090,262,515,789,172,784,213,229,110,042,
638,470,242,782,762,226,957,411,525,443,119,698,823,290,881,169,518,031,507,
304,051,923,553,419,517,211,208,124,409,019,645,448,852,000,904,650,194,788,
941,031,759,144,363,236,386,669,790,655,216,065,778,043,318,984,355,305,981,
809,913,970,192,819,559,928,492,496,486,897,568,596,525,160,962,744,495,698,
375,702,229,977,073,303,896,527,495,461,581,135,463,227,450,353,712,521,318,
071,990,074,677,014,440,822,709,938,047,336,918,638,021,582,999,166,270,164,
133,325,288,892,341,238,501,694,464,801,287,077,114,958,848,404,807,248,898,
576,860,055,629,161,100,364,189,178,652,100,479,226,819,655,721,258,373,065,
364,668,028,515,017,260,219,215,058,599,578,920,035,662,366,694,460,477,248,
300,189,440,665,401,077,021,870,241,529,322,248,130,457,171,678,450,937,615,
127,761,166,956,133,122,727,224,198,731,531,017,444,362,213,155,340,278,325,
343,631,853,630,705,745,639,621,431,691,689,865,439,525,513,936,208,939,506,
495,254,137,730,555,220,213,994,752,869,344,187,467,821,368,467,323,747,468,
833,632,773,077,182,579,833,119,112,310,308,496,747,391,899,062,213,963,746,
149,742,450,704,491,783,296,081,650,628,132,844,612,884,751,460,746,317,949,
048,587,555,574,995,961,416,417,569,770,113,267,752,125,644,095,176,518,458,
581,046,001,048,185,508,473,661,859,713,079,109,507,936,510,544,752,746,473,
818,379,681,081,228,395,779,256,657,937,864,969,737,974,670,000,396,232,691,
318,311,521,089,164,487,384,940,313,623,738,487,152,440,331,112,668,247,564,
693,042,410,667,828,415,636,819,295,058,310,934,788,033,115,841,651,991,501,
246,145,603,299,878,626,446,645,537,048,751,664,778,682,140,736,458,670,159,
309,825,179,421,405,765,313,319,243,830,742,968,006,250,311,635,823,525,480,
305,762,694,041,518,754,078,071,520,506,959,047,823,970,729,275,190,734,861,
572,769,647,341,950,508,074,634,531,052,276,489,761,737,275,293,176,551,663,
983,417,158,140,893,321,343,129,576,509,679,305,652,723,088,312,312,811,619,
450,048,155,792,177,242,386,072,110,248,230,876,773,183,855,603,923,978,943,
364,209,593,323,604,285,467,604,847,469,824,222,541,169,103,572,396,585,963,
644,919,596,489,922,049,205,314,943,973,502,812,035,691,752,202,939,139,832,
425,776,041,439,785,373,094,400,862,875,123,677,581,678,013,717,167,791,390,
933,520,665,448,891,557,611,569,631,014,555,848,274,915,917,790,389,281,128,
839,373,982,095,379,352,240,765,087,465,177,552,013,005,022,970,744,665,919,
453,720,392,839,676,897,876,087,773,770,566,753,131,544,994,984,207,807,088,
765,633,406,433,447,510,605,414,782,658,402,937,109,759,693,510,241,652,567,
980,080,495,938,315,904,946,614,520,221,308,194,038,338,423,784,918,027,450,
295,192,229,414,511,292,618,582,189,133,134,784,827,376,009,539,219,910,121,
475,959,839,742,122,004,600,228,819,945,763,363,266,158,778,685,670,754,977,
784,512,856,611,384,469,533,441,478,485,092,095,875,892,785,610,558,444,321,
226,821,314,044,809,688,064,009,666,781,317,651,518,254,213,862,127,787,969,
825,662,553,633,176,093,202,938,971,964,338,527,740,159,764,356,139,913,047,
726,844,133,918,578,639,315,778,464,925,873,519,601,677,728,602,384,841,967,
319,481,801,359,917,145,784,152,459,101,506,721,665,421,194,448,162,503,321,
288,581,863,826,109,070,885,026,016,474,499,676,642,816,511,827,225,568,861,
628,603,491,009,793,917,404,018,924,208,054,499,594,700,584,599,382,799,615,
855,254,543,686,133,112,509,782,738,566,256,113,545,872,259,994,726,483,684,
467,904,126,157,199,053,661,771,002,973,629,814,684,943,330,780,502,249,784,
075,226,336,641,170,393,038,976,472,414,159,069,835,628,486,944,831,622,704,
573,926,246,526,072,855,548,254,122,157,574,339,234,844,871,748,173,281,632,
083,719,092,332,552,548,263,749,684,434,221,538,940,631,144,048,363,631,955,
188,732,491,446,971,787,810,445,502,339,208,721,963,757,594,701,727,542,119,
327,013,615,981,066,213,619,346,846,182,409,774,885,448,910,762,904,753,218,
684,226,788,991,997,777,143,780,525,666,251,456,557,081,247,803,350,014,966,
101,385,206,658,222,004,774,310,654,385,025,654,941,180,068,857,346,139,990,
194,038,708,007,418,637,294,572,455,553,287,999,359,036,385,165,540,642,717,
505,956,062,608,770,655,192,012,210,978,383,520,120,180,024,827,801,429,829,
280,723,650,336,774,684,697,647,142,893,217,560,901,406,164,298,421,900,042,
096,564,487,146,192,854,230,101,818,207,125,251,565,340,889,944,310,936,873,
594,029,870,266,687,895,021,236,299,547,334,963,601,941,857,173,112,487,366,
587,512,648,447,506,210,623,390,755,724,260,263,270,214,621,512,207,634,366,
808,192,470,346,153,634,742,476,009,387,930,290,767,084,136,047,875,556,281,
596,489,279,184,654,154,457,997,252,820,526,925,511,626,780,922,322,991,620,
767,986,470,382,606,162,257,997,904,290,375,505,937,308,577,537,285,355,325,
212,468,798,779,317,664,242,297,937,353,799,151,733,172,657,383,943,234,785,
168,448,618,651,194,684,564,425,426,432,088,597,767,422,669,528,964,957,141,
202,689,428,583,253,838,590,506,833,185,553,762,537,527,977,626,637,150,676,
175,387,096,954,001,086,336,313,129,896,672,092,572,350,666,819,634,792,239,
997,543,744,350,426,230,815,579,166,365,366,085,583,449,396,238,834,493,321,
734,546,596,805,379,024,940,402,162,693,183,638,996,484,907,066,119,953,755,
777,309,687,579,215,215,393,858,798,175,965,646,207,250,273,629,261,172,374,
983,595,391,532,685,519,766,462,283,487,240,493,035,097,703,279,282,926,533,
824,517,274,605,927,076,437,047,443,365,505,996,984,382,852,570,285,271,808,
439,426,839,126,426,217,025,724,453,301,222,200,123,652,000,071,751,732,066,
449,745,783,577,719,979,809,841,695,644,010,259,711,059,370,424,759,287,954,
149,848,727,179,004,441,661,993,467,605,838,472,816,527,149,252,545,410,509,
225,286,958,663,575,627,966,694,727,831,305,053,073,562,310,866,101,857,137,
969,672,414,890,679,400,182,937,632,609,026,211,879,109,806,551,498,340,599,
184,011,970,422,631,325,441,988,030,977,169,418,375,650,863,465,269,046,361,
550,042,986,508,684,005,182,960,188,103,650,177,176,604,632,517,908,532,200,
522,778,959,188,936,717,173,769,686,869,341,072,323,541,813,743,355,845,808,
546,813,094,834,988,820,122,948,825,960,052,185,259,105,207,951,583,191,457,
935,289,446,845,371,211,708,065,262,237,678,148,079,265,598,349,128,472,117,
885,145,086,304,855,974,907,995,549,719,127,393,264,435,612,082,109,653,870,
376,012,068,724,972,226,723,541,452,035,038,820,816,891,821,532,135,876,276,
068,993,033,237,312,206,667,527,410,779,294,428,174,314,288,505,589,980,903,
830,075,091,733,310,586,605,347,865,079,171,409,154,822,524,847,374,129,337,
496,184,064,177,952,942,309,927,991,499,700,911,750,081,339,560,249,349,173,
163,869,106,860,921,804,395,512,963,764,984,068,907,263,836,798,845,137,048,
126,895,872,916,910,895,637,946,151,908,593,686,498,685,386,411,327,078,204,
852,989,719,479,887,611,204,534,267,836,585,668,930,405,662,286,235,234,748,
505,293,110,474,437,186,280,291,462,362,144,897,456,823,770,228,078,740,465,
058,836,150,095,079,986,122,099,189,306,929,756,369,199,513,620,646,792,597,
353,169,111,494,885,227,948,172,134,264,347,941,542,337,652,797,037,164,402,
198,052,508,631,915,407,861,950,414,929,537,747,803,614,358,485,865,884,650,
091,630,596,669,871,614,704,188,847,257,549,652,098,696,831,930,538,744,766,
846,879,050,027,093,601,536,947,018,827,898,894,146,462,418,481,881,708,316,
855,869,575,195,589,874,496,869,669,772,159,299,363,172,904,299,521,755,220,
509,600,094,053,153,249,817,120,856,863,529,842,609,287,152,828,501,260,294,
129,051,279,379,094,659,580,440,146,870,162,473,241,113,352,285,866,758,860,
991,330,962,944,060,148,705,891,688,061,183,149,483,125,805,056,867,932,166,
751,031,170,627,567,751,616,786,400,883,671,335,972,320,985,380,560,377,959,
866,997,462,627,687,074,637,218,478,248,364,723,572,360,476,763,601,497,740,
837,046,775,533,547,955,632,181,449,248,766,153,445,411,456,940,799,338,398,
154,674,097,337,964,698,076,976,820,419,780,212,717,398,054,649,522,563,598,
102,212,139,699,197,292,239,014,596,636,071,184,274,535,735,860,838,039,133,
283,927,058,767,065,210,798,784,852,907,761,390,636,906,313,858,900,978,893,
466,863,399,562,480,241,885,167,153,139,395,498,936,215,966,142,532,053,599,
344,752,084,503,660,087,309,292,846,487,334,868,595,493,114,243,355,114,665,
594,102,498,024,543,931,326,178,307,041,279,830,055,248,875,396,573,269,331,
667,391,917,213,507,693,705,443,144,497,101,229,635,406,115,166,674,412,510,
896,882,704,113,511,217,059,814,707,667,200,340,844,544,481,963,259,967,278,
361,777,362,686,932,097,342,253,968,098,625,467,783,927,368,170,561,078,364,
516,298,747,617,323,204,225,713,544,239,700,022,881,264,829,958,969,855,369,
464,769,737,357,056,400,483,884,130,049,469,064,347,954,769,437,946,258,129,
414,959,150,057,862,873,667,275,712,056,515,718,134,404,084,036,231,581,703,
265,477,435,280,282,912,902,057,474,048,243,971,139,343,421,261,345,094,341,
442,909,182,716,058,312,430,831,804,058,215,293,205,126,864,644,804,904,079,
717,947,984,952,522,477,467,715,931,620,361,572,060,702,952,229,520,071,092,
372,509,780,649,355,465,901,528,076,863,075,361,009,434,381,663,877,420,790,
647,012,576,013,450,639,066,324,331,802,879,967,454,491,950,752,935,464,587,
374,992,855,163,501,034,998,037,118,100,495,277,588,542,467,675,859,083,682,
006,583,201,551,537,914,223,304,270,282,401,243,657,476,404,148,918,214,204,
425,079,385,676,533,506,384,289,229,819,052,024,581,371,117,008,735,119,425,
615,120,685,073,046,736,790,080,002,610,711,378,707,329,226,343,639,072,498,
098,890,055,678,157,337,970,548,563,629,330,320,818,057,564,676,723,744,316,
252,492,653,692,648,056,210,355,889,311,685,588,532,595,888,682,984,695,312,
507,179,135,856,864,267,830,894,193,996,341,157,762,445,188,283,761,195,990,
253,606,667,476,823,699,890,241,599,677,754,428,184,787,104,818,318,692,165,
249,415,915,122,462,118,244,992,152,807,104,101,558,137,584,932,566,748,166,
141,442,169,205,987,995,436,366,416,163,174,311,109,353,986,023,767,450,811,
432,867,490,929,666,333,692,515,150,260,658,614,404,538,827,273,671,153,276,
186,056,143,340,952,287,265,561,710,829,312,274,047,147,964,155,566,521,145,
988,568,969,431,896,067,472,813,468,563,603,161,516,134,670,121,464,994,863,
636,307,727,115,014,387,483,079,686,051,338,775,124,613,305,155,987,574,772,
844,816,347,791,208,163,197,424,563,181,920,203,790,033,838,901,517,853,879,
263,492,915,178,857,691,261,654,100,749,047,358,807,698,250,514,670,617,571,
550,431,802,592,291,336,674,264,195,287,582,196,870,790,388,316,422,082,643,
158,819,458,215,019,134,107,592,114,494,306,946,785,031,660,403,220,447,764,
173,099,670,129,685,886,709,323,378,453,979,671,847,670,348,806,824,468,218,
895,810,743,460,787,170,583,627,388,361,923,880,144,490,948,432,793,322,351,
266,395,326,926,384,868,160,612,927,961,190,902,477,787,997,290,707,978,774,
041,282,839,147,473,083,259,024,262,059,095,668,969,817,816,154,887,191,288,
893,207,124,887,832,655,711,791,063,283,045,256,606,524,311,436,169,769,441,
658,617,067,092,990,548,439,577,129,011,072,688,845,599,033,144,529,614,817,
477,299,470,432,598,263,177,056,383,639,131,497,383,839,311,281,404,047,668,
757,709,499,086,962,600,072,033,723,442,484,851,188,328,737,173,196,288,560,
872,051,585,707,351,728,203,713,844,489,348,781,442,258,743,417,231,084,456,
141,110,328,276,563,218,806,205,190,603,321,581,154,709,865,106,170,424,842,
066,234,055,105,713,293,634,614,395,392,813,090,699,008,144,629,851,195,593,
655,924,313,264,569,046,970,895,872,377,137,729,079,225,123,801,048,702,211,
990,721,439,800,233,441,966,082,044,594,374,653,359,429,339,853,774,387,414,
698,239,438,387,783,550,477,983,297,789,212,069,080,666,572,867,611,385,147,
160,633,923,797,595,139,225,596,306,373,148,075,774,707,139,567,641,455,681,
852,035,101,186,468,462,029,798,334,040,481,505,272,164,252,039,412,053,891,
190,090,670,813,412,860,875,834,812,949,936,906,061,301,133,601,632,632,627,
021,341,550,634,574,832,215,124,747,708,163,251,150,153,114,206,121,761,111,
649,493,275,717,475,880,181,244,685,056,850,364,125,423,089,692,108,539,730,
525,262,058,157,163,474,020,790,416,860,010,126,987,282,002,642,858,767,322,
164,565,876,655,221,651,153,731,436,519,370,869,168,486,055,380,266,414,628,
412,182,943,796,815,142,555,672,948,282,245,384,900,612,110,537,899,970,419,
461,980,195,177,942,071,135,968,241,214,737,596,921,533,480,233,688,693,425,
111,667,808,305,782,177,453,514,121,933,520,832,404,971,636,918,790,753,775,
760,094,296,661,342,935,547,606,198,402,447,776,293,154,236,064,889,914,230,
252,485,786,602,401,379,364,807,434,967,366,882,647,696,398,526,604,330,820,
349,313,078,317,648,802,834,925,348,318,487,611,010,445,324,177,797,962,944,
568,791,490,594,480,403,646,515,438,287,151,301,026,097,506,319,712,723,532,
492,806,131,489,891,329,102,149,326,988,992,866,009,521,750,662,884,511,635,
619,132,871,875,566,068,503,003,855,733,263,417,670,271,602,264,688,548,970,
328,631,171,335,516,392,597,204,912,288,829,598,618,489,452,411,547,687,731,
871,181,047,026,548,867,328,730,307,002,177,711,837,906,827,241,621,343,739,
038,785,277,713,567,490,609,179,485,087,166,672,728,209,918,726,806,756,942,
609,078,782,866,935,485,170,446,401,148,139,943,065,121,570,821,798,444,257,
473,620,748,840,758,052,280,111,639,243,537,728,465,298,673,908,171,946,942,
182,452,579,402,169,662,923,401,631,690,819,237,497,751,128,686,487,176,328,
487,005,351,565,488,046,053,380,113,411,878,944,415,810,839,837,150,891,887,
032,343,995,465,764,407,685,530,616,311,830,913,895,658,071,815,669,707,967,
279,202,082,747,775,445,752,707,423,041,804,846,563,668,942,089,858,738,131,
973,982,242,198,069,256,326,885,517,411,549,252,410,436,063,724,709,369,146,
101,635,342,830,998,265,010,796,191,630,434,178,638,075,994,099,346,678,685,
405,856,111,017,712,573,630,767,055,220,944,469,889,562,612,045,613,270,918,
126,799,352,379,675,022,763,794,207,651,844,360,606,991,952,801,462,489,302,
802,633,113,818,259,120,332,982,683,190,428,721,414,826,283,617,764,876,289,
633,145,799,788,109,884,724,837,318,247,979,411,381,144,088,991,044,696,961,
746,244,208,701,426,922,580,038,203,458,524,675,192,086,709,949,102,250,483,
387,150,846,074,633,208,644,378,576,116,543,894,917,363,678,589,606,637,634,
113,185,709,015,164,727,078,805,101,019,775,755,116,703,880,463,770,044,473,
046,742,629,011,284,369,142,735,044,340,585,346,862,992,122,123,395,896,477,
977,942,178,322,841,294,190,148,694,269,469,598,685,576,377,319,761,621,184,
703,842,841,643,053,670,324,734,103,054,225,623,222,844,583,772,943,396,152,
895,139,761,375,785,915,467,165,862,376,760,847,322,933,967,476,926,756,038,
194,882,280,006,561,258,038,119,340,579,013,281,218,413,404,698,357,292,543,
159,752,211,862,125,018,808,352,467,423,370,999,920,762,767,849,944,248,852,
601,616,503,846,723,933,423,857,360,481,248,088,703,446,378,613,323,259,149,
283,844,010,452,357,932,062,733,339,997,505,403,912,000,404,004,116,509,068,
910,397,218,631,451,065,190,028,659,369,468,947,472,738,583,859,667,782,240,
259,670,025,749,907,882,041,285,133,680,221,103,258,853,772,813,530,560,823,
566,871,389,253,065,994,340,806,944,640,168,730,685,433,886,116,894,219,859,
228,809,683,742,275,084,312,953,691,750,657,157,526,304,429,156,766,693,337,
259,552,020,602,049,297,067,347,908,737,580,440,857,330,664,124,349,792,425,
267,404,971,539,519,406,165,047,771,519,859,102,358,659,660,595,981,203,502,
297,513,702,284,188,825,677,172,235,140,482,477,773,349,232,471,695,665,816,
124,516,631,061,416,934,492,146,830,696,571,670,185,942,532,778,671,204,586,
285,471,825,439,528,596,407,900,059,086,964,453,905,466,030,476,161,955,454,
094,199,612,255,148,405,993,912,971,983,291,477,584,367,715,971,848,834,199,
160,359,642,813,310,772,632,552,946,161,835,597,467,154,689,162,181,421,306,
568,771,489,094,713,045,963,524,186,737,187,210,346,988,810,186,435,099,132,
904,357,138,546,728,013,748,867,637,552,741,787,000,430,575,025,581,306,180,
619,859,537,812,301,764,236,903,033,073,885,576,053,041,795,827,620,106,547,
533,200,970,591,155,562,491,549,922,902,766,855,832,572,041,969,290,321,796,
459,177,544,129,690,534,560,975,491,233,329,277,329,049,031,834,096,826,266,
463,763,771,349,804,530,591,799,103,667,083,137,160,238,980,745,484,252,613,
507,172,183,379,628,847,115,486,498,616,201,488,439,144,003,918,180,709,298,
405,749,670,477,696,328,234,859,652,636,115,611,701,986,523,283,873,248,156,
216,842,215,786,248,165,159,082,690,301,966,828,885,933,012,499,840,977,517,
677,294,186,912,146,411,117,579,705,797,887,627,236,134,458,050,564,743,475,
463,993,355,597,019,028,435,103,810,585,421,125,954,866,385,965,780,745,448,
999,910,544,228,912,448,752,871,507,312,588,267,813,115,700,190,935,544,106,
454,266,703,874,494,303,020,153,324,337,334,932,810,392,722,176,120,979,465,
064,827,228,422,877,709,232,832,206,635,236,343,916,045,778,278,574,266,209,
534,817,232,520,916,645,099,249,910,015,027,666,908,508,188,088,830,819,085,
007,619,720,098,056,506,804,732,944,742,877,096,679,081,872,104,930,064,638,
733,859,135,087,995,519,290,541,331,125,908,936,610,429,065,086,750,549,199,
560,919,137,278,820,168,491,859,472,136,165,752,820,590,178,275,178,207,850,
425,548,890,291,402,469,521,299,265,977,377,667,587,984,667,408,858,637,553,
288,282,202,714,141,051,646,542,658,935,491,506,880,328,071,271,060,227,458,
041,194,497,467,373,656,617,740,796,046,911,877,026,558,334,240,778,819,783,
749,496,225,016,726,436,916,358,441,037,172,174,717,063,606,336,485,356,127,
237,106,515,848,182,734,992,611,472,566,907,099,709,058,995,462,098,841,623,
951,316,563,927,998,786,629,280,883,187,390,280,346,718,510,729,452,943,901,
217,269,095,258,656,185,934,966,721,194,765,594,857,506,890,312,328,761,984,
396,343,935,911,948,543,284,894,816,409,288,521,251,048,323,024,071,186,274,
708,920,275,768,352,652,080,909,379,976,497,382,247,805,456,042,418,688,316,
505,959,649,113,275,586,524,605,176,502,030,403,726,296,267,481,710,300,326,
976,770,468,414,340,435,987,070,335,561,628,484,955,020,017,634,784,648,847,
707,874,667,650,890,222,677,042,943,105,073,811,154,470,634,180,211,227,638,
891,205,656,679,168,152,726,135,473,375,651,410,118,496,911,724,858,986,064,
239,170,577,603,044,506,302,760,145,989,210,718,131,483,422,640,089,105,795,
476,063,408,764,820,447,519,947,317,739,930,742,373,922,685,317,366,630,388,
662,057,053,451,700,399,882,069,868,917,392,642,182,672,047,224,654,696,031,
897,614,207,409,183,361,829,664,064,473,896,195,402,615,145,088,059,360,598,
817,399,809,800,129,652,610,134,843,466,246,884,303,083,852,882,577,661,997,
447,269,284,282,282,103,075,797,642,039,774,762,348,970,888,466,638,804,420,
600,004,533,069,165,336,499,842,160,918,095,449,290,694,553,728,026,907,994,
386,689,725,148,368,587,759,793,465,110,027,397,813,968,289,740,120,397,685,
054,776,544,790,197,709,450,004,522,166,793,728,984,369,498,768,489,332,280,
255,879,243,006,315,634,126,608,964,479,594,036,464,389,583,830,502,904,116,
745,782,608,392,873,949,022,086,960,997,985,126,935,950,330,416,477,803,488,
450,652,662,159,770,603,053,265,661,309,182,012,854,004,068,799,298,754,478,
146,449,093,393,195,777,532,916,811,621,259,682,451,206,600,614,599,705,784,
349,721,333,151,615,118,229,759,318,647,842,757,167,579,367,986,319,442,077,
131,934,759,448,884,357,509,669,532,644,044,113,644,792,797,032,333,837,509,
385,904,345,680,710,816,599,617,844,557,380,819,173,081,141,705,135,005,261,
274,335,040,358,829,201,206,110,103,296,324,502,617,812,157,776,396,350,346,
112,454,267,312,378,066,251,365,752,560,926,847,881,107,171,436,684,654,395,
394,673,351,346,638,137,103,781,833,025,317,671,189,596,482,457,229,645,234,
991,353,618,594,080,779,877,690,157,139,910,454,200,378,617,596,134,424,077,
647,203,921,844,974,823,056,510,159,297,364,814,136,458,825,458,144,874,855,
657,486,278,640,093,753,526,343,469,072,289,525,624,802,577,994,278,405,013,
791,732,166,823,052,987,108,547,110,794,529,546,856,738,601,365,515,501,738,
428,395,513,504,860,012,444,175,557,008,873,548,285,136,389,859,692,161,838,
554,773,711,670,074,772,192,759,299,387,435,041,519,356,542,468,647,545,595,
351,719,655,500,423,209,313,844,790,046,896,742,942,707,744,374,822,835,459,
283,758,295,615,706,040,495,402,449,699,236,836,303,406,777,296,923,904,194,
740,468,580,000,862,629,168,531,564,606,960,913,199,481,033,999,230,856,070,
637,441,432,595,096,513,033,525,127,514,826,572,982,886,630,822,623,658,026,
587,785,497,867,030,239,676,695,304,681,043,370,527,125,166,410,740,235,763,
324,008,616,391,368,671,006,079,044,716,501,683,247,746,858,748,473,126,952,
193,591,781,532,458,514,213,156,066,644,416,134,134,629,051,894,261,849,530,
179,162,990,167,279,419,732,430,730,274,676,833,515,499,270,828,140,710,101,
693,907,445,063,253,639,197,974,838,512,548,281,032,042,631,595,732,127,355,
838,174,549,234,395,219,355,970,986,270,977,409,932,073,550,764,699,822,496,
430,620,399,317,049,374,851,696,816,314,019,170,965,909,200,490,658,866,374,
892,777,538,088,079,257,814,838,977,113,697,121,811,625,818,936,290,601,884,
501,319,389,361,147,596,841,584,102,395,627,402,909,001,250,940,093,757,921,
230,847,593,718,573,674,956,960,543,569,967,912,372,992,982,488,018,905,435,
628,109,851,444,553,817,804,218,611,352,306,288,362,724,603,956,946,323,914,
452,836,266,806,207,427,320,896,223,174,144,990,916,367,033,611,095,092,175,
539,554,575,452,755,142,211,626,676,200,297,583,868,335,579,606,601,623,805,
717,498,866,045,510,101,401,740,408,841,031,472,900,262,935,380,195,343,703,
097,535,588,405,086,944,199,820,176,713,297,183,248,657,210,640,882,608,789,
638,650,083,667,083,514,158,807,239,447,828,836,923,778,597,113,479,919,153,
128,909,391,228,925,963,528,488,219,393,224,024,096,070,968,119,153,291,968,
962,546,217,518,340,373,983,723,239,112,190,527,510,709,539,085,206,686,444,
540,204,834,001,402,497,782,838,518,049,299,891,929,838,438,524,883,087,413,
705,602,211,176,255,018,819,136,169,932,770,721,279,371,223,423,371,251,612,
641,158,145,126,783,055,896,251,124,090,423,660,941,524,491,296,397,681,429,
047,776,191,004,139,198,909,866,596,659,469,959,614,162,514,200,124,827,676,
332,948,397,942,105,001,065,273,794,052,398,877,068,722,700,746,138,075,926,
482,638,599,049,637,996,855,540,399,810,999,298,518,006,450,686,667,475,636,
339,824,087,699,745,071,094,073,857,844,794,717,035,460,268,736,101,398,099,
506,923,159,473,736,994,723,866,572,771,117,578,364,508,514,452,958,276,166,
597,186,734,038,180,897,591,105,824,227,935,963,646,454,340,383,797,322,768,
141,154,144,817,070,153,585,633,962,645,506,273,606,449,830,564,500,337,783,
285,372,483,742,401,339,535,751,483,475,984,919,268,677,083,808,843,199,087,
738,327,536,732,026,195,969,404,535,083,580,436,253,311,592,580,393,084,166,
048,167,023,698,038,440,205,540,284,143,003,059,054,331,247,794,539,480,460,
314,544,826,808,093,376,566,785,896,950,748,817,297,387,784,724,732,927,975,
616,135,447,974,906,102,959,226,129,778,758,961,963,694,203,988,705,007,340,
772,089,256,949,848,939,913,101,983,377,742,286,011,906,238,765,341,193,021,
196,801,488,019,489,667,154,098,333,442,174,743,081,391,132,920,876,050,357,
790,227,337,768,561,996,608,256,225,118,048,365,428,000,676,731,126,235,375,
800,266,216,119,688,830,045,793,875,715,458,395,761,077,546,482,366,344,369,
968,331,220,411,874,528,992,468,240,076,934,624,591,237,383,815,713,296,662,
806,909,941,928,345,788,099,403,430,584,429,990,125,750,060,137,538,344,368,
375,921,431,209,917,117,413,724,629,979,482,059,131,934,939,465,895,972,530,
282,123,074,210,806,248,661,658,820,187,693,044,753,631,688,473,310,823,601,
039,026,916,720,224,485,687,994,841,083,266,129,149,493,492,268,456,214,129,
090,729,171,660,365,585,013,006,593,988,803,897,906,874,320,998,731,319,155,
105,806,873,841,640,205,294,743,511,413,571,667,093,497,885,475,241,764,221,
521,276,490,607,198,590,481,686,723,629,389,147,612,719,564,055,867,982,978,
601,312,984,981,161,057,904,382,388,581,307,542,697,884,439,042,249,366,177,
742,113,911,716,068,587,292,892,399,242,029,320,255,737,905,262,957,021,926,
860,258,787,803,445,510,210,237,755,869,288,513,290,353,214,178,477,596,293,
691,203,043,666,708,339,197,640,096,891,484,315,544,272,761,203,628,537,478,
719,551,933,166,566,315,758,143,149,150,966,382,702,753,722,965,578,822,194,
595,471,533,961,054,811,167,009,498,097,221,897,979,559,981,321,451,283,140,
596,333,391,975,383,480,199,189,239,334,419,332,215,733,365,379,526,514,937,
161,626,243,991,531,361,599,626,470,700,363,026,350,489,265,245,136,620,971,
108,608,112,593,167,278,225,553,427,726,117,490,715,528,169,306,099,864,685,
308,108,363,590,770,506,516,440,413,076,238,475,056,226,181,678,450,696,144,
472,366,468,855,719,968,045,770,641,987,041,028,065,492,426,386,588,435,140,
008,909,867,825,044,179,108,661,840,168,954,312,553,241,597,579,670,852,012,
961,856,616,396,975,568,855,566,212,525,846,982,841,782,686,771,159,016,226,
519,452,753,268,010,971,156,071,379,394,362,068,542,646,119,457,585,074,379,
268,332,365,954,443,721,291,065,403,731,837,349,135,352,471,678,397,581,917,
657,686,564,903,463,486,839,873,168,320,913,750,943,724,697,803,228,805,091,
291,019,496,745,809,803,845,278,874,645,882,648,182,589,639,845,638,957,604,
946,325,445,174,976,364,160,801,263,374,878,542,552,379,295,673,804,417,238,
418,470,196,776,924,629,489,912,506,330,479,073,721,467,044,736,110,367,280,
761,134,153,054,193,547,353,798,530,597,579,190,281,367,660,445,828,844,179,
341,782,536,025,165,307,425,796,966,835,792,751,474,962,035,645,860,524,265,
392,852,443,060,917,326,755,230,915,815,408,107,430,616,843,944,354,827,184,
498,830,215,376,654,087,267,793,828,352,821,417,988,489,262,143,429,489,559,
282,996,532,182,126,648,463,204,545,135,567,286,742,761,308,709,402,366,562,
851,547,085,614,005,534,409,729,867,602,690,882,184,154,877,477,759,138,727,
292,630,116,600,404,795,583,959,079,783,614,311,683,326,952,245,341,637,084,
472,813,452,723,429,722,827,327,922,450,991,190,860,604,794,656,938,216,594,
342,447,262,818,892,552,121,061,487,929,546,531,797,065,143,530,344,393,052,
516,077,599,783,275,801,987,985,283,703,155,807,302,182,459,253,892,263,621,
074,039,513,701,422,155,442,089,690,614,136,438,594,952,510,017,214,931,352,
318,732,361,449,797,073,166,200,055,478,143,687,427,817,069,338,342,649,265,
374,205,361,517,278,713,201,459,179,074,740,637,933,459,882,489,843,285,840,
145,716,257,560,053,754,827,734,579,955,100,639,256,177,873,627,465,435,970,
065,979,618,683,557,799,904,310,078,437,883,102,334,039,132,375,325,933,281,
347,451,067,464,325,898,436,635,586,663,810,647,183,980,218,676,266,673,174,
487,804,549,179,529,141,874,004,222,819,691,779,900,187,020,212,066,176,978,
881,057,390,917,459,570,188,588,449,033,830,052,746,795,519,223,775,332,349,
122,095,654,627,829,077,856,873,494,315,466,695,666,457,724,476,114,144,128,
740,679,748,615,146,058,520,556,997,899,514,425,096,667,655,143,819,409,304,
786,362,645,661,009,178,101,298,273,188,049,807,726,812,406,256,054,314,426,
750,086,411,568,577,859,353,022,931,318,873,881,188,860,595,721,054,101,910,
634,870,846,397,397,114,043,575,201,810,055,910,143,294,243,424,048,775,157,
703,999,042,103,804,755,865,822,866,949,308,635,065,672,152,189,067,141,561,
547,903,706,014,916,969,289,011,123,350,779,305,346,373,010,136,745,252,395,
453,201,137,237,713,573,728,943,312,538,955,805,074,681,829,913,033,001,841,
240,074,689,320,461,050,559,697,833,884,703,220,281,925,948,651,797,037,616,
822,611,294,056,255,442,395,881,173,469,676,677,005,657,185,713,493,931,159,
668,477,200,194,717,555,751,148,941,174,080,555,168,440,991,746,406,080,171,
816,466,129,211,814,403,146,405,558,022,782,381,045,026,731,290,741,300,029,
601,379,897,774,978,940,624,446,163,027,434,884,157,272,383,702,251,348,771,
292,940,036,775,136,375,720,001,929,456,216,036,566,754,801,282,984,260,748,
256,715,615,027,838,153,342,210,081,598,022,979,846,878,596,575,679,907,496,
814,061,955,472,888,647,361,324,683,565,386,856,221,404,509,697,637,175,448,
975,482,364,365,002,924,808,893,989,647,739,482,371,215,642,020,676,128,233,
203,993,953,508,229,306,722,215,485,882,701,252,233,298,256,164,161,626,330,
285,321,489,200,638,296,504,411,493,179,525,884,974,296,997,664,612,361,683,
956,357,364,025,744,780,418,731,846,482,900,619,745,957,869,410,244,945,637,
606,540,408,420,731,529,558,376,787,834,863,183,874,533,535,411,283,748,286,
488,393,305,054,416,754,054,139,621,854,643,545,754,264,321,293,398,358,182,
493,312,289,157,718,438,541,377,343,445,478,899,134,528,616,335,029,975,423,
437,611,931,922,485,571,645,414,099,488,137,852,043,414,423,247,290,586,206,
572,855,283,965,425,995,305,572,111,191,242,664,953,506,405,714,756,622,948,
995,009,493,331,161,613,709,924,763,325,506,590,211,213,371,129,011,520,847,
143,903,299,153,083,789,614,017,850,123,704,112,749,199,801,141,698,196,396,
839,265,732,391,451,041,253,933,935,029,751,037,438,121,661,176,003,145,934,
467,131,934,101,394,100,410,210,754,227,766,845,529,627,109,565,893,795,805,
501,535,612,359,662,736,840,840,983,427,632,746,369,427,666,763,962,528,706,
225,645,024,593,244,638,863,906,588,163,063,826,176,615,502,230,460,953,567,
850,768,422,876,800,725,052,577,905,904,287,592,785,612,647,498,324,662,657,
523,788,458,623,238,456,609,370,654,181,460,588,536,445,417,396,913,709,043,
034,108,804,548,592,686,736,725,214,844,207,681,322,860,108,293,272,119,711,
640,752,447,177,669,874,976,882,378,035,994,912,150,184,664,448,700,867,094,
255,594,955,658,098,191,599,262,107,308,947,892,806,356,945,954,565,502,263,
069,752,364,952,678,096,741,009,273,317,083,460,593,616,596,928,396,925,075,
384,941,551,758,284,624,464,229,121,855,720,761,943,146,174,100,019,372,780,
165,504,885,423,326,402,724,611,776,106,432,258,860,301,729,456,213,666,160,
346,476,178,520,079,980,828,177,221,773,203,508,827,801,584,439,136,677,069,
178,604,471,810,144,301,902,365,177,026,446,158,658,869,771,223,429,802,622,
954,009,332,369,273,404,704,607,261,132,000,571,407,111,973,727,360,482,759,
877,954,260,537,700,162,545,701,613,220,124,699,961,870,212,765,925,044,500,
982,437,579,409,718,477,517,384,739,032,092,156,272,849,936,108,813,807,368,
536,463,469,879,873,042,057,428,745,220,935,477,020,459,461,006,185,544,171,
244,385,098,267,993,799,706,836,258,398,335,125,440,536,867,174,825,520,462,
481,337,660,837,473,917,537,580,961,403,445,313,296,886,536,144,016,894,759,
164,356,291,833,407,761,668,536,402,471,420,266,969,102,792,214,979,651,694,
369,561,213,126,307,544,024,075,908,101,334,660,814,449,048,313,763,104,797,
423,102,725,779,157,903,353,278,144,278,545,610,462,067,509,174,709,935,672,
976,183,580,573,106,104,572,075,684,506,091,103,407,055,228,794,572,832,590,
821,768,553,040,497,631,412,652,214,918,637,127,397,128,944,880,133,820,007,
902,967,589,550,687,300,252,564,932,555,616,862,859,957,505,287,525,310,123,
371,116,791,296,774,910,184,348,710,185,332,964,481,049,401,159,065,543,424,
086,613,304,094,881,146,162,423,655,045,802,259,799,077,468,274,473,814,495,
928,746,781,320,169,691,778,799,017,765,145,546,814,072,667,879,802,176,849,
266,181,225,513,977,071,936,696,339,825,832,315,386,643,369,394,580,039,069,
547,165,493,465,244,730,754,938,433,338,900,377,249,485,448,956,845,439,346,
542,372,343,267,264,701,370,787,760,799,522,297,169,634,674,883,065,536,252,
541,965,644,122,136,741,053,369,422,737,377,498,628,549,675,245,192,100,349,
243,054,399,671,391,393,836,534,903,126,222,088,775,552,151,641,258,805,585,
824,331,232,608,409,639,755,801,026,946,274,058,535,952,484,065,767,059,012,
123,408,296,953,993,688,259,572,026,552,072,984,234,343,332,772,388,007,541,
202,747,718,988,999,446,444,978,028,623,765,550,316,138,801,034,865,262,984,
295,963,613,911,216,309,430,322,585,978,806,073,890,436,701,835,747,806,385,
623,046,281,849,196,006,635,603,132,446,119,579,176,779,700,194,386,502,856,
941,199,065,745,689,873,919,220,954,928,346,474,775,191,671,380,842,513,020,
937,417,713,634,730,757,849,711,926,697,662,077,168,553,078,723,985,357,878,
700,745,961,579,671,348,242,692,177,927,387,363,556,907,530,389,381,575,003,
033,719,081,276,840,235,669,961,494,108,948,515,600,404,649,177,466,763,805,
625,606,154,827,040,820,639,625,945,500,324,418,655,141,129,591,437,760,226,
948,190,551,305,526,605,515,596,844,708,030,918,943,510,462,736,816,846,020,
480,161,799,462,392,774,065,279,846,912,704,386,698,148,205,782,096,862,510,
010,258,139,918,590,669,990,486,238,920,052,118,125,230,795,891,229,276,591,
482,855,257,887,735,223,886,527,060,869,667,519,809,516,909,793,684,439,077,
073,720,219,254,325,407,893,427,422,946,544,175,250,450,406,865,655,096,900,
185,585,635,590,644,685,257,275,185,047,453,557,702,901,180,933,487,230,662,
365,927,858,804,874,073,924,406,464,033,481,849,989,695,767,011,848,028,328,
057,589,866,901,284,347,916,327,934,846,924,460,236,003,867,978,207,680,011,
080,070,826,027,891,200,117,352,644,174,340,145,235,470,516,797,783,628,991,
816,036,193,454,295,060,047,342,793,580,812,025,435,532,484,203,033,867,613,
027,927,230,507,299,763,896,369,953,597,295,067,188,374,655,627,785,172,450,
039,591,788,195,707,612,663,601,451,386,122,299,044,683,740,802,832,639,841,
856,334,447,445,148,701,782,224,373,782,403,070,222,985,949,640,592,705,827,
486,989,566,572,064,343,670,646,043,170,367,827,432,056,385,796,485,383,857,
813,851,732,437,849,625,716,351,458,551,383,760,206,162,170,463,007,917,263,
675,225,851,892,810,732,623,912,249,496,597,634,836,175,103,289,170,998,179,
817,134,432,880,646,707,147,430,154,142,665,449,011,471,177,418,367,341,077,
350,892,809,804,127,757,048,782,205,940,982,544,817,004,577,661,184,731,772,
567,596,840,358,510,126,299,240,548,895,630,736,244,301,973,517,426,428,992,
930,614,946,786,123,035,527,051,699,012,303,167,150,523,806,870,312,640,286,
950,676,587,978,193,407,827,869,414,602,306,356,769,627,960,056,652,959,876,
368,040,213,356,336,787,179,016,227,318,273,069,840,085,934,983,559,853,259,
946,556,794,832,396,897,816,990,294,204,851,154,411,810,492,673,997,021,533,
287,351,685,025,541,689,283,530,869,061,587,208,730,193,868,401,637,673,866,
672,218,683,852,634,043,250,466,171,863,918,146,700,796,299,459,423,475,985,
469,746,340,396,823,552,615,285,581,603,150,907,977,918,510,907,171,621,849,
897,620,516,792,671,283,591,375,851,036,636,190,474,960,542,725,861,091,431,
002,308,056,617,049,319,565,418,738,372,775,012,065,430,362,862,386,140,819,
203,964,378,692,711,182,459,487,915,265,570,593,315,032,725,764,055,990,915,
150,330,536,876,168,256,647,965,616,395,655,891,711,209,237,607,152,689,569,
370,777,376,148,887,648,366,676,483,167,827,205,334,061,511,753,417,034,472,
403,333,685,426,872,933,503,610,761,204,707,460,110,644,803,448,720,927,318,
006,932,545,940,141,182,942,518,322,916,890,199,810,123,567,503,681,312,895,
174,417,359,532,278,780,837,323,827,417,914,687,445,819,803,235,935,246,411,
976,828,387,892,403,400,573,936,356,174,380,493,287,084,865,751,203,891,366,
802,338,527,156,787,449,707,436,281,420,500,765,167,599,389,571,589,027,352,
168,476,876,342,356,178,972,804,992,407,874,816,029,327,102,492,738,238,976,
009,927,702,317,303,883,130,285,477,517,754,800,129,272,827,078,121,379,159,
719,759,696,053,901,372,386,155,190,442,992,068,609,836,201,700,445,744,223,
125,616,415,183,043,512,170,979,141,202,640,907,330,192,745,062,906,318,211,
175,692,148,610,631,919,791,650,070,104,792,645,562,519,869,444,553,947,189,
320,441,828,672,365,199,487,822,408,465,948,169,471,511,056,639,760,056,267,
548,353,738,636,327,308,793,923,500,776,811,503,861,750,728,787,177,014,483,
415,982,760,319,226,005,919,752,132,116,033,651,415,346,716,356,984,570,549,
686,159,747,831,200,273,419,404,526,795,633,251,091,946,967,689,662,471,690,
567,117,732,156,833,832,778,765,207,599,028,716,857,259,237,219,167,988,086,
416,522,292,098,024,288,789,814,935,082,291,856,001,613,881,096,699,128,162,
649,769,913,708,285,841,339,497,643,992,081,252,162,040,072,246,957,605,130,
230,560,484,558,078,996,342,250,943,321,899,208,582,867,415,320,281,693,817,
703,750,159,686,169,915,112,563,179,474,330,512,802,497,397,723,102,980,329,
525,598,570,123,034,402,247,771,874,883,617,022,788,525,165,921,835,100,133,
809,525,928,804,498,885,922,440,275,368,729,570,822,826,956,654,574,180,219,
157,873,201,603,568,752,461,763,169,336,203,305,761,606,302,881,946,195,296,
521,917,566,699,298,303,746,686,906,097,447,300,841,817,615,038,602,105,189,
708,367,055,447,941,327,405,620,047,414,613,048,725,438,429,191,526,130,247,
204,744,524,756,291,954,832,709,969,308,342,491,448,276,572,851,048,362,768,
783,099,282,550,444,906,548,018,676,387,258,649,892,578,357,676,498,102,187,
820,550,635,735,700,311,648,404,019,442,164,400,106,570,490,606,359,874,061,
644,894,361,073,283,286,644,412,699,173,492,896,196,369,191,672,179,440,543,
644,493,500,300,802,742,036,896,177,057,722,664,828,547,372,697,060,829,863,
692,296,792,340,104,538,991,753,179,353,984,621,253,984,779,799,877,128,199,
805,511,790,841,231,539,276,557,930,276,056,202,810,846,603,763,056,049,461,
802,591,245,833,343,739,985,701,822,177,252,571,159,174,558,958,375,803,242,
342,670,007,059,149,941,922,919,661,404,964,766,450,503,118,913,853,958,960,
071,688,422,880,349,852,506,680,007,121,128,597,077,946,489,236,049,472,511,
739,984,194,847,300,784,439,881,454,981,111,155,229,503,950,032,432,331,610,
328,994,068,340,607,989,582,164,652,721,890,645,058,650,820,069,245,419,836,
987,565,332,971,902,637,910,980,278,820,694,411,691,033,457,358,505,303,045,
953,112,848,463,489,748,527,415,057,777,421,321,821,940,441,849,116,451,804,
985,329,523,457,303,786,776,498,004,917,264,014,668,384,211,685,925,210,531,
904,507,338,359,435,265,188,479,367,052,423,552,314,553,458,087,031,624,643,
651,367,244,880,754,168,765,672,289,161,348,959,443,758,348,891,645,449,548,
018,660,031,784,026,326,169,211,443,189,444,138,055,350,990,207,498,695,711,
818,368,475,867,853,785,175,134,631,784,204,458,220,154,233,043,681,060,881,
481,357,375,446,404,263,308,081,972,206,855,709,047,449,689,147,681,167,586,
537,332,809,965,327,206,773,532,671,904,104,923,644,567,000,276,009,729,248,
290,337,866,861,848,000,023,212,579,341,608,489,289,828,915,591,945,577,598,
935,393,698,940,605,408,499,105,383,271,729,593,103,899,196,247,944,136,930,
308,052,026,164,947,745,393,836,128,095,348,157,713,209,319,470,161,220,519,
187,182,132,598,796,248,146,930,186,818,260,118,269,889,041,560,775,503,166,
793,811,271,162,444,275,726,966,262,560,230,267,678,428,864,717,073,661,176,
279,676,582,814,142,256,587,065,068,590,014,960,176,700,537,922,720,278,021,
060,270,916,350,328,849,719,527,793,137,964,458,868,245,208,842,712,254,375,
473,465,868,960,609,713,275,976,281,934,873,920,465,269,037,252,033,636,615,
631,122,085,505,657,764,942,542,404,764,146,828,623,543,936,730,400,895,595,
118,189,010,850,425,073,438,387,129,526,642,631,644,414,612,052,752,949,627,
438,669,895,424,826,305,914,494,939,877,216,929,264,121,341,888,506,931,744,
703,439,542,983,111,694,882,893,495,039,829,384,544,324,830,291,826,142,371,
350,165,799,927,929,619,879,556,291,790,473,372,526,842,026,116,045,171,143,
467,413,766,141,138,276,470,879,585,422,314,159,971,064,328,719,436,616,179,
700,187,082,238,532,270,637,424,005,366,065,110,317,776,125,209,787,991,650,
183,257,218,565,374,283,977,941,463,968,057,428,185,293,668,007,637,725,149,
552,934,186,959,610,381,653,075,188,702,750,773,661,566,386,371,007,215,278,
861,023,546,321,383,273,814,357,632,282,705,798,516,190,482,505,194,864,939,
317,246,499,543,534,350,615,207,695,860,844,224,208,659,003,998,108,772,941,
607,371,322,366,427,942,216,447,648,229,614,491,723,509,749,844,092,833,217,
040,154,082,399,406,114,532,391,370,578,084,458,131,388,392,816,746,199,585,
206,447,457,874,129,057,962,651,338,340,890,516,556,033,070,901,909,032,161,
330,771,331,135,766,999,861,551,959,100,961,360,361,901,139,639,881,633,759,
320,724,037,579,334,219,559,201,695,753,706,440,466,585,828,126,651,965,783,
773,144,835,180,820,640,035,057,474,242,948,232,115,743,275,194,925,065,731,
743,473,974,447,292,945,652,201,599,975,447,803,490,126,052,203,177,357,552,
535,089,464,900,774,240,803,599,910,581,960,004,375,894,951,276,608,526,288,
334,400,869,525,446,024,796,514,225,269,873,878,145,510,684,066,356,922,101,
339,852,754,475,168,862,616,349,993,127,315,822,492,853,919,529,346,289,231,
053,243,761,908,475,725,724,653,517,934,719,287,520,563,765,816,319,351,465,
211,583,915,461,951,847,791,681,264,467,785,269,587,528,003,408,381,010,875,
459,704,528,357,292,211,629,044,147,441,052,326,030,406,062,294,540,491,197,
031,522,277,104,827,119,831,872,393,864,319,460,397,381,763,421,837,161,773,
359,575,695,211,574,618,843,767,606,671,926,308,281,867,107,851,203,216,122,
023,731,418,552,042,936,675,843,277,191,736,771,395,516,501,803,685,274,774,
295,303,612,936,834,232,328,253,058,114,574,165,158,609,615,249,951,612,542,
119,734,154,763,879,464,592,250,177,018,866,664,370,608,687,641,552,564,904,
924,792,715,978,264,991,762,125,489,499,463,485,590,262,377,902,678,586,239,
025,353,958,756,075,903,188,836,443,543,005,115,898,908,132,870,465,836,980,
982,021,451,347,734,751,699,905,331,830,113,064,438,329,994,487,994,117,300,
681,069,405,369,553,976,749,707,848,931,959,923,173,455,805,633,566,004,392,
306,754,103,834,845,301,227,431,857,995,836,265,197,301,076,661,880,678,274,
173,045,818,463,347,054,838,416,717,327,001,852,855,994,347,134,964,510,230,
739,493,944,804,800,149,683,952,914,951,519,358,332,693,156,307,686,136,008,
049,611,026,987,785,082,574,491,248,767,729,342,262,940,841,344,744,394,794,
230,550,768,003,063,337,904,876,774,041,174,000,604,158,276,735,035,925,862,
986,498,794,987,892,351,620,927,926,184,646,866,655,344,334,416,719,180,080,
331,471,443,226,491,594,919,178,168,176,857,097,576,442,062,185,797,104,265,
231,829,821,763,392,223,132,348,104,251,777,850,610,827,760,573,561,954,202,
787,342,250,724,948,679,725,132,935,373,568,728,829,038,982,350,338,023,226,
878,490,662,443,064,288,256,530,897,789,079,698,634,681,112,118,289,376,608,
449,744,800,888,422,834,105,126,749,104,653,599,187,030,676,389,881,794,337,
642,441,259,509,998,807,429,859,219,410,023,955,857,259,505,073,793,336,993,
278,282,972,185,944,985,698,556,561,858,796,287,219,200,597,565,651,124,736,
188,339,188,068,399,051,234,508,025,870,020,592,453,242,363,085,876,693,809,
053,863,014,113,713,090,328,754,201,632,866,508,943,003,527,168,533,552,176,
311,862,051,280,527,210,688,681,910,117,426,547,266,018,948,434,204,085,026,
158,276,429,155,251,488,093,673,033,830,585,837,735,555,740,220,486,489,193,
786,377,617,495,016,877,324,152,370,882,412,424,269,759,149,128,358,412,323,
481,644,637,942,054,836,448,348,185,622,871,051,935,409,560,309,511,637,356,
490,939,626,971,192,131,914,107,389,978,661,211,910,487,071,664,428,306,530,
638,245,263,545,404,659,123,698,095,470,477,256,102,745,471,516,360,291,457,
178,237,693,997,343,766,398,169,931,110,087,133,733,446,704,853,289,156,543,
655,307,319,542,508,171,810,353,614,566,644,058,160,054,817,345,913,769,626,
090,932,086,923,640,332,112,813,885,693,780,287,937,195,159,977,660,792,464,
067,167,988,406,533,211,395,144,199,719,543,833,246,293,866,285,289,040,760,
822,046,404,620,026,485,645,065,330,850,020,340,506,977,727,117,172,543,927,
797,669,413,993,785,341,439,996,987,265,273,094,714,980,257,987,715,341,466,
144,242,302,796,625,889,501,189,440,649,427,268,942,384,640,086,819,891,932,
473,980,398,974,740,588,667,457,195,646,130,913,164,105,802,931,393,183,034,
968,244,415,043,356,502,452,436,516,456,091,112,039,035,548,304,468,414,718,
539,307,645,899,862,345,185,122,532,795,779,830,355,974,582,548,608,793,506,
149,517,477,461,747,883,817,559,719,006,786,283,161,706,663,703,112,411,050,
583,951,939,710,406,280,707,760,753,683,190,129,310,736,428,520,782,926,832,
499,885,103,746,471,844,394,700,330,454,279,045,576,294,023,248,548,317,498,
503,160,320,523,831,423,550,866,478,525,493,355,259,215,256,366,176,662,810,
991,153,530,134,141,485,076,480,589,282,954,404,391,838,063,935,783,993,157,
630,057,230,987,112,336,000,681,381,205,798,678,196,116,925,785,264,031,058,
877,617,099,697,305,319,151,803,440,325,508,839,440,738,178,769,774,397,579,
747,111,743,479,109,973,090,183,074,542,532,622,767,442,116,758,018,483,553,
336,214,529,668,408,094,622,433,324,228,256,579,173,966,364,206,405,957,828,
149,935,559,504,945,047,102,049,243,862,783,952,169,639,846,004,176,830,000,
961,525,849,946,338,667,930,596,821,700,116,336,074,820,963,410,091,184,126,
307,362,342,349,111,635,908,324,796,375,828,806,094,271,393,448,526,582,150,
930,803,941,421,028,243,130,859,682,609,542,735,387,101,658,443,234,739,202,
676,878,594,236,096,492,374,932,496,090,678,962,009,989,534,657,913,824,576,
815,576,143,594,411,665,956,279,278,566,531,709,981,142,993,114,474,741,989,
769,365,386,771,412,887,894,169,551,829,751,334,462,668,282,172,603,602,644,
176,187,348,147,771,714,926,891,187,680,100,959,839,431,451,945,295,620,548,
237,511,430,240,446,749,961,933,382,964,265,761,491,698,450,538,060,203,609,
393,831,988,779,501,129,632,322,016,240,727,099,348,673,952,664,983,004,584,
524,861,492,746,958,691,896,513,973,207,091,334,888,258,097,924,500,418,857,
647,282,499,291,429,133,265,828,990,005,322,968,896,696,908,758,603,022,088,
181,121,063,747,389,001,812,831,011,098,282,244,057,960,371,235,449,432,564,
475,723,697,519,336,832,937,109,860,350,210,399,556,578,769,522,523,997,290,
985,946,088,848,687,152,636,898,801,741,106,194,490,443,266,213,467,961,430,
575,663,621,348,378,312,372,516,770,838,502,320,912,324,251,688,804,850,690,
680,633,566,921,988,058,849,296,992,098,570,312,356,247,238,144,281,139,901,
993,021,867,394,647,474,516,174,462,987,318,323,938,658,359,473,944,745,543,
075,103,207,360,455,601,452,387,273,877,973,180,937,313,150,109,652,934,636,
903,124,395,222,493,226,283,600,804,138,847,655,260,973,369,996,204,498,124,
503,895,734,417,450,256,261,747,701,719,853,682,125,821,737,982,830,301,274,
789,446,524,977,257,276,275,283,562,993,005,946,782,413,366,523,566,027,182,
602,210,211,730,156,456,565,893,226,452,401,508,682,393,709,811,679,066,626,
817,933,268,738,593,304,705,688,710,838,250,474,010,145,820,978,677,068,466,
594,420,272,482,831,510,762,568,784,433,190,718,688,076,441,181,019,108,720,
364,195,032,827,188,163,362,876,703,298,123,303,112,444,086,939,699,055,955,
099,186,457,085,195,058,888,749,397,382,264,041,429,889,947,540,700,642,285,
462,463,107,717,648,642,067,158,994,942,673,199,144,727,993,175,866,023,041,
394,281,397,123,509,070,375,111,268,727,422,466,356,606,689,568,201,459,387,
005,085,338,467,204,888,830,791,162,674,746,541,298,982,905,515,589,866,804,
239,565,883,099,174,590,314,747,845,706,599,856,458,312,096,291,773,751,287,
553,002,982,089,861,180,695,472,725,178,721,527,079,804,105,459,822,828,572,
636,796,526,909,657,082,007,502,266,122,258,758,177,804,548,242,402,096,132,
585,187,854,037,799,334,697,825,307,231,617,724,836,736,373,775,521,103,285,
302,489,011,443,453,577,208,309,566,391,993,132,606,019,478,877,964,612,243,
912,017,438,465,755,970,755,734,132,815,695,680,571,991,367,357,363,268,130,
687,159,834,904,764,444,385,267,743,044,583,936,493,309,449,787,131,624,604,
135,803,992,429,343,052,529,579,139,120,824,709,981,627,067,008,058,622,380,
232,370,998,554,349,594,357,982,823,467,843,307,677,534,054,404,360,467,216,
580,444,726,974,240,029,729,576,910,849,376,025,175,804,892,192,001,575,466,
846,285,501,320,695,143,713,044,931,959,106,477,517,284,889,181,425,334,521,
384,860,368,649,456,562,468,205,050,336,808,407,169,757,723,995,855,000,517,
756,533,076,634,215,188,392,244,994,064,207,036,790,141,114,628,979,545,329,
858,330,078,232,723,821,992,855,943,955,828,549,203,248,419,348,800,657,280,
518,751,988,610,658,028,900,315,538,906,258,113,245,430,927,944,691,096,621,
719,129,628,079,547,924,043,938,219,702,478,990,401,436,982,344,128,485,493,
548,215,987,851,413,861,078,867,307,613,947,183,573,270,370,059,777,895,500,
019,425,928,686,625,440,393,946,604,208,664,208,709,044,793,314,411,960,903,
414,981,978,352,568,394,739,323,026,906,889,102,823,365,038,132,789,747,211,
160,136,105,726,253,200,843,036,192,704,194,478,307,793,019,289,880,423,008,
315,078,345,926,370,310,566,336,062,770,392,534,375,649,054,023,616,333,911,
237,291,580,020,418,715,191,825,011,132,803,136,965,328,431,312,294,304,616,
661,159,636,533,647,023,163,045,344,971,249,445,837,579,007,633,976,600,945,
482,060,072,564,721,604,671,021,867,470,721,388,517,967,030,373,484,538,429,
601,820,098,070,369,569,174,810,777,106,158,669,191,475,313,782,151,872,407,
937,412,466,816,584,664,161,012,932,187,332,973,499,275,958,636,689,376,830,
516,741,230,203,377,273,565,822,023,325,592,499,800,164,425,195,493,528,372,
823,439,952,423,537,457,391,441,288,376,631,291,691,779,825,910,159,635,685,
327,814,678,322,643,427,602,075,191,609,386,774,006,737,893,688,380,529,679,
077,034,460,165,393,554,789,569,614,947,588,829,792,140,046,554,711,880,672,
383,760,952,397,553,428,813,180,908,939,131,234,805,313,082,470,131,880,191,
491,375,861,595,341,930,961,652,663,196,337,079,251,624,213,736,010,417,100,
885,471,082,165,160,023,243,432,398,146,758,985,832,739,583,394,373,960,208,
949,246,738,859,942,386,130,469,097,693,897,524,071,637,056,182,157,372,062,
096,024,365,557,433,075,440,835,743,304,041,569,215,689,461,869,256,332,101,
172,471,204,467,731,956,810,175,854,036,809,174,156,785,787,871,520,105,993,
987,914,374,143,258,900,276,065,015,666,592,697,795,642,768,686,650,864,351,
007,810,791,826,436,154,434,726,185,053,326,413,997,998,746,311,665,807,781,
396,935,128,995,201,474,756,175,280,529,004,056,952,484,129,076,139,167,476,
695,394,306,765,296,921,752,359,960,010,066,071,474,791,607,681,522,344,764,
998,227,812,018,245,262,161,874,053,804,532,741,050,869,137,871,404,869,360,
340,184,579,851,520,159,221,237,559,004,757,836,569,274,087,885,623,795,693,
016,762,340,250,330,789,931,158,545,388,751,035,373,040,451,035,016,779,784,
984,252,676,957,348,468,079,907,399,880,456,311,766,442,953,940,266,443,106,
739,712,303,513,642,546,874,606,513,447,814,330,010,114,360,721,819,361,616,
654,118,617,868,836,615,410,514,127,209,318,792,761,515,661,305,777,321,699,
249,121,568,044,000,308,060,294,209,035,100,785,733,662,196,889,701,195,867,
788,787,607,128,917,618,221,469,412,110,601,593,478,602,458,843,757,822,830,
131,816,224,191,378,105,170,151,901,233,778,815,239,352,526,576,458,493,732,
728,336,576,511,542,175,413,912,659,850,598,144,964,917,473,218,335,648,984,
804,305,088,264,630,639,181,154,738,780,288,967,131,951,652,370,065,190,459,
614,975,734,565,618,480,022,502,822,257,932,867,319,809,432,584,983,964,695,
091,762,790,106,388,035,918,772,522,563,772,659,226,262,473,178,793,355,620,
474,123,069,236,101,696,789,954,867,024,709,720,390,465,732,061,056,490,722,
507,481,868,572,634,600,672,970,345,235,834,939,345,754,113,639,779,833,173,
491,004,727,096,374,165,456,116,211,021,721,869,074,233,409,671,867,303,758,
231,856,131,275,772,174,757,340,537,171,948,197,440,915,785,912,305,919,774,
507,168,085,448,278,025,021,668,244,074,139,932,850,289,696,792,986,078,493,
799,655,056,243,314,346,940,931,517,004,074,225,565,461,101,312,582,145,609,
887,362,416,501,539,928,196,421,555,408,628,771,911,648,603,314,698,490,325,
956,715,213,007,861,198,860,158,285,583,668,382,736,555,038,283,713,031,709,
490,087,011,653,227,647,243,614,009,740,762,803,418,069,111,673,147,074,683,
109,735,893,549,983,606,774,251,359,403,260,316,147,620,141,687,185,622,989,
463,694,474,012,825,210,271,620,081,273,068,749,023,982,127,883,131,779,564,
325,756,935,436,226,334,432,911,721,296,646,580,717,218,671,559,162,618,920,
961,292,666,940,951,630,180,649,972,915,435,851,520,302,814,542,206,607,401,
876,459,294,232,882,685,062,564,604,081,683,716,446,978,967,198,005,214,603,
638,213,696,580,873,460,712,015,778,447,171,206,183,924,298,196,104,361,764,
456,301,977,329,933,421,454,405,491,751,521,745,629,878,037,431,484,095,746,
780,653,644,349,174,217,005,279,146,348,470,442,762,897,215,570,520,117,759,
293,405,475,739,151,527,336,969,381,455,137,704,076,051,516,753,424,135,625,
231,986,836,578,352,096,593,506,239,953,291,724,869,345,584,962,194,383,159,
722,200,024,413,524,286,907,101,920,755,995,657,364,786,333,087,147,639,625,
186,926,736,997,365,285,233,967,444,643,447,985,256,652,545,938,029,976,801,
950,596,688,852,963,052,723,283,559,791,547,145,787,792,266,061,473,694,053,
570,452,990,402,183,041,874,817,446,884,329,105,346,069,048,876,740,024,854,
667,190,050,948,192,406,998,492,624,126,190,528,542,698,315,131,435,675,269,
272,688,142,954,392,903,988,542,470,498,443,232,909,542,530,665,376,959,386,
424,204,716,275,022,460,760,597,955,498,496,573,450,594,355,321,769,664,943,
004,317,616,958,726,318,017,466,814,661,104,526,749,269,533,598,835,519,849,
181,294,967,497,946,828,997,374,190,532,906,887,932,518,207,611,106,597,131,
331,078,892,481,673,673,001,055,104,902,780,631,934,679,022,413,989,242,120,
314,576,773,477,082,431,343,278,676,202,009,142,301,890,926,722,430,734,843,
461,943,805,250,709,734,735,973,834,109,353,689,510,301,338,858,284,345,780,
738,080,519,306,040,652,148,614,306,704,346,391,785,672,243,292,172,294,482,
610,021,368,069,425,469,894,306,538,512,621,274,343,211,870,824,249,761,903,
918,300,736,931,374,142,746,656,656,208,378,995,736,590,450,808,535,067,276,
252,547,724,480,661,887,712,663,939,287,821,279,796,134,022,677,668,532,201,
481,982,161,943,528,883,824,214,298,013,875,530,312,183,482,339,777,107,034,
398,518,533,441,294,033,305,037,989,190,454,757,115,895,269,237,281,450,351,
565,504,069,703,771,620,163,384,946,096,106,479,925,274,051,188,831,322,370,
264,701,048,176,665,618,995,722,800,796,936,749,693,753,987,741,472,175,633,
038,237,980,300,326,532,009,194,108,551,482,684,104,615,071,938,992,457,719,
533,974,759,667,735,710,745,993,111,239,524,319,573,910,495,234,051,099,822,
601,466,891,425,416,618,484,911,179,120,699,335,638,007,085,387,118,218,434,
021,015,843,300,327,289,323,498,651,528,186,426,492,999,231,442,691,326,972,
131,421,252,635,267,839,948,508,230,428,142,609,059,708,097,746,943,272,104,
886,547,010,036,041,839,170,039,662,567,494,292,362,174,050,563,848,204,225,
331,710,916,929,326,513,329,031,371,006,462,861,436,762,526,728,780,997,875,
887,091,146,515,281,986,181,524,333,032,505,041,713,568,165,570,129,418,808,
408,281,463,413,053,399,681,538,284,759,682,548,990,253,030,754,284,153,568,
058,910,678,742,760,004,508,117,443,856,505,106,288,589,338,816,812,806,878,
877,528,367,303,255,765,325,759,729,519,851,017,038,192,066,359,394,739,616,
168,627,055,371,106,500,395,506,342,694,330,455,765,042,343,763,139,161,251,
589,664,836,965,007,777,572,653,986,713,037,336,179,775,130,315,088,872,945,
999,217,095,983,720,092,720,781,073,584,263,286,240,615,008,520,115,078,807,
862,748,430,457,317,654,370,909,524,800,370,755,919,761,815,539,669,464,837,
240,947,294,095,245,515,319,808,326,534,045,315,919,007,714,079,825,707,386,
351,162,965,462,441,665,153,522,323,185,118,190,540,209,339,161,271,240,874,
505,299,145,786,031,475,130,889,633,187,525,828,912,986,923,765,467,580,903,
328,313,546,261,445,133,224,333,688,152,938,054,597,844,564,638,617,245,978,
689,654,065,776,409,724,267,767,448,988,274,099,157,695,637,662,376,984,710,
633,718,246,013,915,266,784,582,249,662,599,827,450,002,625,419,875,793,871,
394,418,187,508,306,350,680,096,759,213,069,127,268,153,894,005,739,010,924,
791,967,885,105,945,697,361,384,299,833,400,730,885,202,167,195,211,222,873,
527,363,351,335,223,326,237,319,327,312,774,355,832,793,056,321,265,026,034,
525,592,300,405,563,755,647,471,884,975,422,164,750,154,212,774,893,264,164,
765,766,917,217,245,347,152,686,249,196,542,751,612,081,891,743,242,479,099,
581,457,579,313,620,052,381,701,667,766,780,792,849,800,859,262,486,127,077,
818,982,360,647,989,946,895,380,133,650,920,709,930,986,133,159,575,175,507,
610,616,498,160,362,529,218,021,116,400,047,595,165,216,526,876,171,752,698,
430,145,939,741,268,681,961,588,330,183,915,474,681,117,272,290,767,002,039,
373,247,648,835,256,209,691,970,608,320,183,782,915,273,553,854,072,683,082,
532,844,933,437,932,209,385,175,037,848,538,446,211,758,198,855,214,602,872,
628,343,010,365,600,195,212,196,732,829,347,359,584,170,930,257,128,619,622,
716,701,201,667,732,913,800,442,555,765,141,963,582,268,805,362,853,586,339,
518,205,312,692,875,358,263,168,160,997,602,279,133,461,091,112,931,046,109,
945,062,741,836,579,292,468,022,227,929,753,594,585,537,679,221,835,711,901,
585,475,760,024,323,650,789,947,189,181,176,418,630,377,437,485,574,547,020,
524,626,508,971,844,501,397,725,455,948,409,914,762,569,796,702,274,887,722,
356,643,132,305,506,221,790,162,645,452,626,703,338,439,451,182,495,280,902,
798,513,650,275,448,956,923,173,331,490,678,926,000,697,095,025,872,583,109,
379,540,796,474,337,468,812,897,133,446,676,247,201,605,429,710,094,749,969,
990,971,452,081,999,753,165,901,267,705,128,704,083,900,104,903,788,536,972,
629,745,980,986,654,895,197,111,649,292,537,498,644,083,253,071,372,434,019,
079,488,554,317,299,329,290,066,626,859,534,387,124,246,921,376,417,970,784,
679,095,579,988,671,756,612,108,131,971,936,325,098,086,010,671,065,145,991,
771,390,560,233,325,827,030,534,733,342,891,738,386,499,415,489,609,790,717,
713,260,249,160,188,042,872,380,966,913,259,883,323,228,166,238,626,022,620,
047,209,827,269,196,553,269,752,179,723,386,463,354,578,912,368,841,563,402,
514,947,574,654,823,741,738,846,567,765,473,228,611,426,343,587,765,850,010,
616,362,671,480,213,966,621,981,225,102,959,729,890,471,207,445,806,666,625,
121,839,047,145,149,283,061,651,292,865,462,142,780,196,828,779,465,448,242,
985,839,563,637,126,115,507,975,682,205,021,227,096,841,193,300,723,346,280,
039,053,330,534,396,354,896,173,548,749,176,578,786,013,812,790,751,182,175,
113,549,953,028,975,303,288,031,183,119,012,393,688,360,166,076,675,800,766,
795,771,598,305,745,829,000,230,502,069,131,788,483,290,826,690,793,409,256,
913,560,039,383,523,485,104,833,211,184,408,264,974,995,129,215,446,508,649,
351,468,465,508,317,079,914,594,336,813,098,983,518,180,099,413,082,440,578,
554,390,981,140,467,874,339,772,965,339,369,050,194,541,157,697,634,490,166,
030,067,929,717,476,354,261,980,377,010,507,429,547,750,755,140,754,029,257,
514,917,407,906,792,758,744,701,855,706,441,152,358,208,301,305,680,590,265,
491,120,377,230,865,298,504,331,347,280,806,261,309,824,875,756,145,019,388,
938,391,128,475,396,876,079,897,983,140,368,648,074,133,298,225,030,155,246,
889,938,010,400,529,553,053,089,662,580,965,969,278,434,822,967,433,897,030,
459,549,647,782,513,439,882,661,947,664,853,682,676,885,158,046,171,521,461,
977,166,309,073,465,598,225,364,692,266,977,436,850,861,946,605,524,545,344,
603,799,291,844,541,646,448,706,306,665,331,247,457,714,077,455,230,048,724,
678,046,254,798,830,883,112,206,570,834,010,849,955,633,813,043,327,534,790,
265,883,290,114,703,689,134,403,523,574,275,136,730,997,531,303,071,916,635,
919,259,041,712,250,680,514,545,956,704,048,903,406,399,710,637,259,559,300,
213,697,895,562,043,515,174,284,380,573,929,968,715,856,116,594,791,670,112,
800,191,926,030,127,757,375,312,351,031,240,880,701,094,060,284,042,780,091,
663,182,242,557,387,395,816,092,766,531,682,567,455,650,806,007,948,889,268,
133,173,551,385,536,311,377,028,193,950,110,836,326,546,655,626,377,355,668,
355,553,929,050,531,034,204,778,027,928,020,647,447,778,401,985,472,257,137,
218,119,226,949,291,249,196,741,745,988,161,698,224,764,763,184,211,869,329,
837,284,237,178,160,594,921,256,323,300,837,991,130,826,586,342,787,513,297,
413,626,372,979,678,318,041,155,819,345,129,962,294,518,737,083,238,352,805,
092,018,234,996,181,239,604,037,496,724,263,277,485,837,336,527,811,880,249,
386,251,038,605,185,262,707,664,464,693,017,555,241,095,863,685,552,476,831,
994,498,054,265,545,188,305,362,346,420,894,789,360,960,554,375,551,459,981,
249,981,584,890,344,356,169,110,989,278,638,767,602,642,380,440,139,737,072,
246,328,996,434,955,745,839,616,682,167,810,509,130,041,690,181,803,184,675,
974,290,910,603,351,492,495,778,648,746,342,790,783,638,515,256,436,699,826,
663,550,761,594,928,425,331,011,504,259,694,818,449,394,660,735,162,973,585,
871,028,472,663,836,995,499,844,887,223,119,228,036,948,801,052,443,567,239,
308,151,198,693,454,197,006,704,240,086,830,120,638,575,597,499,012,344,092,
438,389,139,282,916,778,252,386,940,289,084,094,078,792,056,059,076,478,893,
472,863,266,106,507,258,850,517,267,839,319,349,266,009,974,897,859,228,417,
991,566,352,708,606,561,082,832,422,319,537,647,362,810,793,845,648,667,264,
438,224,134,580,707,714,034,730,884,054,714,208,552,518,264,865,045,869,942,
283,908,413,311,516,677,505,114,374,068,312,108,779,541,503,620,674,286,355,
567,934,285,558,052,946,579,429,352,288,055,874,721,806,835,792,621,394,390,
151,758,599,714,372,257,026,951,237,545,310,339,238,671,098,359,288,806,629,
808,554,560,409,939,609,923,027,465,120,595,425,869,917,276,231,351,991,724,
294,731,297,174,739,073,246,265,308,383,845,264,704,177,674,575,917,748,251,
049,796,428,092,374,244,628,886,524,915,793,038,206,868,211,518,005,303,997,
781,075,868,874,904,026,620,629,490,972,015,175,619,194,156,796,296,716,551,
516,765,421,877,041,470,014,974,677,353,603,383,818,563,835,747,749,791,841,
638,363,174,048,570,791,067,266,020,636,926,327,553,744,679,753,296,342,865,
650,609,065,174,608,596,040,948,707,648,473,284,109,308,322,733,331,826,132,
961,847,947,387,043,403,399,709,737,428,735,190,169,429,675,468,642,859,773,
317,326,745,742,222,219,170,575,635,622,013,059,291,211,136,349,793,895,404,
741,682,210,487,238,551,280,656,600,379,602,306,236,347,736,005,820,486,181,
565,920,308,149,180,773,466,635,275,812,159,877,136,177,502,892,783,741,093,
875,610,423,836,824,318,927,389,932,239,817,834,778,874,803,181,492,796,614,
868,511,635,548,499,656,101,189,245,679,082,342,204,142,332,144,270,618,628,
098,172,208,743,675,752,659,995,221,034,981,019,373,323,649,896,346,765,823,
313,941,697,485,770,499,247,317,985,497,080,602,641,247,380,324,948,793,292,
715,349,154,136,418,896,567,664,527,652,215,979,999,338,605,432,902,195,983,
372,790,999,327,813,666,304,355,167,626,070,098,262,044,833,478,948,241,289,
712,773,056,044,848,131,064,635,618,108,118,423,419,447,954,537,886,019,582,
144,921,336,578,953,052,298,688,024,489,701,004,929,935,650,351,095,628,748,
114,195,536,874,260,033,558,489,353,251,239,203,486,887,593,764,070,215,552,
045,409,805,061,974,144,760,342,625,920,405,596,678,563,121,977,829,407,180,
914,602,541,785,817,115,153,644,402,503,460,267,986,819,520,581,415,531,088,
059,060,644,632,756,311,819,634,407,803,989,448,462,754,738,056,240,845,528,
558,067,937,005,690,115,475,347,450,611,016,014,530,501,081,263,753,299,698,
697,926,718,778,553,416,054,731,937,390,311,377,800,763,513,181,887,360,964,
459,429,696,534,602,849,641,560,997,335,247,659,892,018,281,865,869,309,734,
869,871,241,961,630,500,302,710,321,748,590,879,831,859,964,795,383,687,653,
425,536,203,810,164,532,431,902,172,930,692,083,195,386,271,476,178,916,679,
163,430,002,139,786,140,800,589,297,288,906,577,718,727,960,605,617,382,022,
873,916,272,489,595,837,801,131,214,737,849,412,873,819,874,756,596,564,789,
960,775,812,659,146,762,136,287,595,007,952,909,290,436,457,543,758,203,403,
396,707,352,921,992,194,243,298,938,789,650,198,177,425,536,405,007,312,176,
933,696,145,781,875,784,576,751,999,148,916,883,656,802,142,282,401,731,276,
007,222,959,821,580,221,058,247,447,459,685,762,602,795,920,142,755,159,773,
817,523,736,047,618,565,176,994,772,148,939,731,676,195,164,447,681,844,819,
475,835,583,249,754,660,877,853,807,286,194,278,475,874,135,233,362,722,321,
641,538,145,522,649,220,449,370,973,005,042,517,785,556,187,224,474,235,351,
340,439,630,583,408,919,779,533,178,290,239,135,613,300,265,952,168,107,112,
463,086,629,230,680,875,281,419,226,769,759,005,771,773,119,769,375,345,572,
896,137,649,385,972,919,455,784,776,774,141,132,388,804,154,558,839,619,172,
277,431,038,871,876,246,090,555,436,171,090,405,794,196,891,794,525,280,662,
979,683,253,977,674,196,604,988,590,542,331,640,375,768,096,616,401,560,419,
673,840,539,171,760,411,750,253,756,197,823,824,404,082,159,009,648,944,164,
044,519,703,795,341,545,937,646,774,067,222,469,776,971,249,319,149,497,631,
547,288,408,661,194,948,070,706,872,899,566,443,507,879,259,778,265,505,893,
556,862,715,811,072,588,252,593,245,952,347,967,398,155,890,739,044,144,860,
219,322,301,308,511,996,782,565,864,961,062,195,104,727,562,707,232,749,491,
461,274,315,712,013,496,094,083,526,119,164,814,038,592,624,510,901,668,121,
183,408,222,238,967,129,414,402,992,698,613,733,181,953,734,722,931,483,502,
618,969,083,093,557,080,390,176,683,957,009,715,504,406,523,213,010,524,771,
045,211,221,040,886,730,765,353,471,416,003,756,469,569,202,626,601,837,515,
637,610,802,657,733,263,126,899,222,758,188,435,539,225,147,137,308,176,118,
759,094,295,639,565,025,280,398,978,586,030,267,365,648,241,408,717,270,201,
856,697,020,889,431,539,937,823,617,968,099,310,211,927,769,282,244,232,189,
495,680,651,775,436,708,992,835,465,695,836,121,299,117,916,756,873,215,207,
582,786,463,455,945,591,923,481,564,072,210,289,692,483,385,456,479,974,023,
013,263,936,104,156,614,480,228,542,601,584,851,201,566,389,698,374,419,727,
059,271,108,692,588,612,016,496,587,134,285,693,056,396,762,145,493,370,216,
936,384,664,471,698,279,802,649,401,780,346,249,690,871,431,139,499,535,138,
920,839,563,319,440,897,039,311,461,671,646,707,579,696,311,161,212,322,981,
839,590,789,339,966,767,343,081,913,705,860,477,316,623,333,959,573,999,918,
867,964,370,832,162,832,414,566,801,001,312,311,716,966,804,635,392,208,242,
378,767,793,455,064,381,397,200,469,862,657,739,068,668,544,243,254,319,660,
491,534,982,395,268,425,088,982,966,256,829,177,326,639,868,169,322,521,274,
591,962,730,641,157,959,858,463,503,566,828,533,946,457,304,345,666,455,915,
992,867,099,785,838,557,288,715,864,893,856,664,395,965,614,266,918,660,319,
924,541,228,920,683,529,888,114,423,545,043,351,444,655,565,507,676,102,591,
080,883,391,788,658,636,876,274,100,194,268,721,301,261,215,731,382,782,270,
919,185,027,496,217,039,578,187,747,891,121,227,871,508,979,979,627,230,767,
839,436,698,410,916,006,032,770,503,467,302,102,551,619,734,238,558,180,530,
503,035,157,212,788,241,469,524,210,037,577,542,779,881,500,995,077,338,113,
971,790,642,818,193,811,517,713,036,895,556,393,502,829,201,370,114,991,973,
541,660,391,271,527,028,482,761,836,609,181,275,949,822,862,831,173,539,253,
268,744,391,771,990,434,365,170,609,972,213,793,525,607,529,514,477,569,307,
812,410,116,669,777,279,453,240,459,984,427,099,656,591,796,980,140,623,152,
504,782,077,742,744,520,093,112,100,052,912,995,377,644,474,767,043,995,215,
141,664,174,852,943,955,236,329,716,743,805,824,385,654,111,469,649,087,095,
316,726,546,753,081,447,268,266,411,360,027,649,959,143,975,094,967,552,441,
609,196,499,549,748,322,749,657,184,357,926,352,117,529,606,658,859,295,902,
186,557,669,822,504,933,814,853,634,857,799,609,244,978,634,801,502,880,568,
538,810,763,534,957,183,008,128,837,972,604,562,144,928,547,495,907,473,556,
698,673,760,399,039,945,200,368,618,407,282,077,924,844,901,352,652,049,255,
355,078,917,151,305,649,265,770,381,047,526,924,605,116,835,878,170,212,095,
667,032,471,864,609,024,966,574,186,470,880,950,632,260,257,330,927,804,793,
572,675,451,043,307,331,811,610,946,047,527,337,506,541,690,425,876,348,623,
891,845,656,187,820,141,317,272,907,519,504,753,000,660,897,894,149,382,396,
698,815,725,796,418,326,115,182,241,202,902,783,065,279,697,947,378,483,746,
034,393,148,280,610,149,060,061,572,488,341,351,941,806,755,025,748,163,411,
236,120,797,134,537,130,035,402,443,655,980,846,668,722,137,297,355,571,674,
986,093,844,322,788,844,608,247,680,833,650,042,571,244,437,546,137,837,362,
002,263,305,815,507,417,450,195,949,897,407,981,191,776,899,951,742,593,911,
698,937,302,271,839,540,852,982,805,688,142,338,656,722,066,470,521,953,190,
919,364,552,879,483,404,434,029,044,252,997,090,221,995,539,535,843,091,097,
046,776,898,922,274,772,527,487,602,432,469,981,382,385,855,600,994,198,661,
873,361,077,010,444,182,041,586,506,900,509,747,321,483,803,555,485,668,086,
545,263,942,845,764,620,733,272,185,566,788,152,846,220,029,814,851,096,002,
364,945,594,960,738,617,089,715,504,408,476,027,368,172,776,144,415,422,961,
366,905,208,230,446,739,182,549,132,560,066,634,881,266,204,121,851,598,138,
513,954,803,279,004,459,981,445,741,424,081,638,679,753,986,389,655,998,656,
823,323,101,826,342,511,374,065,737,731,846,265,066,180,605,406,033,088,007,
376,402,308,586,853,573,128,454,332,401,455,052,501,640,277,582,818,004,135,
125,302,083,681,252,410,773,000,599,008,826,886,267,393,610,269,429,587,529,
496,885,889,469,037,650,810,761,621,540,862,186,168,722,142,735,843,801,061,
657,235,690,426,081,636,445,331,694,435,131,636,849,056,123,166,296,065,638,
719,077,386,218,607,777,032,278,914,440,462,712,604,879,824,233,615,529,200,
305,874,349,716,099,860,849,029,230,739,606,497,735,383,364,799,499,767,331,
272,189,231,796,367,263,209,532,551,862,022,558,893,914,338,639,139,201,065,
987,394,073,142,456,166,325,091,395,871,387,467,767,426,069,686,346,352,522,
882,930,981,226,720,900,524,745,537,286,760,499,806,873,018,635,583,626,990,
011,584,685,375,890,028,193,958,957,695,611,122,765,542,649,504,765,607,762,
450,029,058,615,153,342,769,452,280,742,313,412,553,502,015,260,029,887,259,
895,766,595,488,742,735,549,736,082,025,910,666,621,033,077,406,352,280,456,
292,175,450,068,630,508,353,619,707,400,578,394,189,143,033,081,713,290,669,
039,197,339,844,352,936,515,882,012,425,688,439,958,759,315,787,202,810,847,
161,596,084,907,747,223,206,375,332,225,946,282,471,101,248,266,018,649,311,
186,499,642,823,859,857,443,600,333,182,345,261,738,220,930,363,735,549,229,
190,419,001,412,538,589,971,820,675,711,977,471,215,451,627,912,958,489,422,
672,427,845,320,157,812,700,188,996,041,841,391,972,002,808,530,977,318,365,
923,072,835,375,874,606,277,831,212,886,822,149,280,785,954,286,988,453,038,
592,732,374,804,754,430,508,156,186,507,113,302,098,289,042,767,675,979,068,
463,479,620,742,621,490,377,408,062,099,269,639,947,409,770,789,770,221,815,
436,776,038,682,841,507,908,575,105,032,415,183,615,192,682,457,212,907,202,
791,671,633,181,292,257,900,852,805,418,349,395,088,176,051,881,552,967,648,
118,144,369,256,060,324,629,137,463,986,580,527,910,061,080,195,447,447,645,
879,018,309,748,994,019,904,501,166,140,088,664,788,316,291,563,100,785,692,
251,920,810,783,520,386,276,231,392,151,697,750,634,216,568,330,994,812,894,
677,409,656,071,353,500,913,742,921,775,881,424,980,827,230,532,635,525,048,
131,433,942,143,697,950,588,428,011,985,179,403,260,134,802,293,898,719,053,
538,807,632,464,448,505,758,393,534,069,946,280,408,798,829,367,030,936,723,
418,380,203,813,533,128,617,853,429,978,298,069,105,571,840,149,862,180,895,
157,150,724,748,571,170,681,796,518,841,976,188,563,244,698,534,963,138,411,
535,517,819,262,362,657,249,772,661,819,895,809,245,058,436,524,447,252,953,
565,291,394,998,950,026,377,951,752,178,350,984,255,518,943,698,464,884,759,
304,981,437,099,263,603,971,490,680,850,305,610,203,067,427,107,052,078,358,
959,618,257,306,550,002,438,521,726,582,638,251,487,347,617,971,453,421,734,
738,985,414,564,103,942,350,544,198,981,053,614,824,374,330,321,333,095,482,
351,921,307,526,821,037,682,318,601,140,073,769,515,356,766,169,483,365,929,
896,150,423,911,014,541,286,827,360,023,542,116,057,261,373,304,614,490,396,
100,074,339,049,903,702,177,200,940,727,267,719,220,573,541,648,286,002,642,
901,977,153,235,120,690,322,548,733,690,634,570,341,616,456,434,888,461,189,
516,340,537,155,390,521,017,662,318,777,066,210,839,067,688,092,351,030,259,
338,804,560,202,355,184,660,234,573,433,162,499,886,669,262,149,069,492,577,
461,972,274,345,896,429,765,297,973,194,290,810,720,985,053,239,901,301,558,
755,511,879,961,993,924,574,699,734,256,590,309,263,975,457,512,984,442,199,
178,513,962,807,318,924,955,345,082,394,659,237,036,566,472,833,121,676,562,
573,048,841,652,564,328,160,146,596,128,153,830,892,753,366,687,524,153,932,
508,586,985,217,642,971,083,104,823,676,852,169,984,384,639,313,709,375,185,
454,774,144,170,633,116,457,231,760,681,009,208,752,899,877,002,124,490,035,
382,219,789,981,284,544,627,486,682,924,483,173,877,434,090,578,061,202,976,
554,675,098,402,766,190,692,642,676,729,211,270,541,086,131,782,332,607,334,
715,327,749,344,371,041,472,238,060,039,585,359,454,185,395,745,184,936,222,
559,436,015,517,512,857,947,420,397,897,655,934,917,154,494,501,870,254,730,
043,719,871,436,230,681,389,269,650,344,788,154,984,445,651,873,358,648,927,
225,617,008,456,546,456,377,096,595,826,780,393,279,701,154,653,628,035,245,
592,759,350,322,271,000,772,232,430,461,032,645,296,731,131,092,329,185,613,
195,985,955,862,250,181,458,641,695,678,842,717,436,449,845,443,837,611,794,
350,846,674,734,695,922,032,109,784,542,937,763,122,374,585,378,414,304,550,
694,048,465,097,310,388,899,284,635,156,120,473,247,710,236,910,600,593,063,
128,435,503,576,612,644,426,502,243,003,009,052,125,468,495,997,731,253,296,
453,956,340,376,259,525,009,528,898,634,473,195,246,060,651,030,682,186,703,
023,384,854,082,091,481,460,280,976,413,033,867,575,319,631,422,357,036,068,
296,617,951,029,133,376,989,503,677,854,370,188,450,398,254,441,676,444,673,
955,665,792,204,845,845,567,266,773,208,340,458,340,042,562,100,857,024,531,
241,204,531,935,702,331,024,523,538,150,958,185,007,741,309,375,382,681,765,
615,781,044,971,050,332,423,614,278,441,673,543,877,553,641,418,468,272,494,
416,398,821,202,855,963,809,677,721,551,903,442,353,197,333,151,318,985,890,
441,734,248,697,835,758,328,385,678,237,846,332,801,561,594,386,025,254,437,
425,129,018,313,369,508,274,421,723,294,936,508,513,312,532,288,426,220,064,
895,925,260,495,715,246,025,137,388,389,400,196,947,643,874,377,849,430,186,
653,179,169,970,254,570,551,988,154,782,064,973,890,131,352,932,489,929,289,
544,016,897,530,740,084,204,806,789,249,810,088,843,176,648,768,217,927,762,
483,141,217,810,550,593,379,940,746,744,719,623,273,891,940,899,965,877,596,
915,938,722,021,002,685,805,604,831,646,740,144,409,463,459,658,059,799,879,
913,707,911,186,521,544,108,718,282,772,235,744,664,791,902,140,825,235,019,
963,917,026,770,419,930,890,508,966,004,745,507,112,504,784,607,277,930,257,
268,288,980,342,957,642,243,712,349,636,556,584,207,443,374,203,247,636,679,
090,488,098,691,729,763,069,548,213,791,346,216,370,747,936,459,890,661,008,
021,603,923,849,823,424,316,429,226,724,560,935,803,064,929,892,316,052,826,
576,221,406,260,138,243,577,627,824,394,511,259,660,268,517,201,250,581,709,
098,396,115,518,542,805,042,933,632,634,536,862,116,284,218,096,393,602,312,
489,762,824,011,618,754,528,067,149,484,900,857,109,014,117,376,517,476,737,
097,126,071,413,455,547,975,341,601,874,541,404,454,402,068,731,222,878,992,
096,674,018,790,902,142,559,849,586,810,728,739,235,308,966,348,563,895,532,
849,725,847,363,701,158,522,953,885,426,240,284,389,315,409,576,537,380,061,
145,699,563,400,151,524,107,886,651,946,396,250,025,833,671,162,950,140,303,
430,019,417,685,338,553,181,859,302,517,677,514,021,083,313,001,568,273,762,
002,719,238,036,405,299,078,641,219,077,996,136,879,931,649,277,995,127,531,
782,693,088,573,197,917,521,741,133,877,512,531,711,168,455,473,245,805,921,
948,453,864,680,650,695,654,112,396,554,471,655,670,594,053,513,228,963,943,
240,365,045,936,971,190,129,058,342,388,014,984,255,729,246,113,836,095,292,
462,544,482,011,884,554,272,578,147,061,048,515,010,469,128,225,219,589,813,
669,176,790,785,293,266,809,258,304,069,336,425,582,216,344,283,207,155,567,
209,303,952,732,422,885,881,001,653,808,813,099,514,031,307,665,788,561,142,
460,830,950,977,632,509,918,543,598,068,914,772,169,511,594,185,912,308,642,
091,194,124,745,765,506,460,590,146,580,985,928,881,054,554,135,087,279,747,
630,198,052,594,192,154,812,183,140,582,188,403,077,628,701,942,012,011,375,
569,481,576,944,560,910,995,911,528,002,352,534,805,806,008,381,140,041,945,
280,584,402,678,487,598,076,634,106,796,880,575,901,885,354,108,923,916,047,
620,300,686,836,566,066,690,406,236,946,288,834,818,211,502,667,984,777,620,
424,190,998,787,800,560,245,343,655,002,715,879,901,419,183,612,366,247,650,
536,158,294,801,184,231,023,613,125,557,323,740,300,158,071,885,695,101,041,
707,142,862,435,672,583,569,579,230,470,985,338,497,163,360,677,172,760,288,
420,691,307,807,724,781,051,757,404,250,373,598,220,210,962,331,780,015,149,
390,795,418,132,367,052,519,616,646,103,229,817,955,987,696,497,161,816,115,
846,689,106,046,517,851,261,505,850,613,649,977,811,072,146,790,449,535,032,
171,794,827,740,675,769,752,359,855,404,846,675,494,507,580,333,454,368,585,
485,549,620,241,274,356,320,781,640,838,305,920,161,235,466,858,712,219,021,
206,885,246,725,968,677,747,609,534,266,868,403,727,798,259,044,464,563,700,
350,789,172,596,035,987,621,885,365,858,585,917,226,973,700,354,271,570,450,
052,685,473,562,875,277,875,455,029,099,289,515,823,644,408,481,071,405,437,
193,456,142,963,429,002,193,599,157,108,488,102,554,998,286,409,204,837,754,
581,991,247,442,026,554,527,332,641,474,726,587,344,959,882,006,193,723,478,
231,365,164,947,172,641,331,712,473,828,844,022,850,965,259,641,890,392,170,
372,732,443,756,822,592,929,296,858,720,238,888,965,205,350,077,003,255,186,
779,415,446,314,115,111,533,954,945,739,704,475,240,404,936,495,226,856,194,
485,755,095,301,603,473,963,025,856,764,716,290,545,253,300,457,337,293,775,
822,097,307,982,242,572,646,119,096,670,386,824,941,819,293,268,905,399,016,
578,461,169,167,225,807,473,271,662,751,126,001,579,923,528,787,497,804,267,
115,963,780,911,475,570,528,888,222,257,977,579,975,149,095,233,856,328,850,
056,838,568,495,563,626,087,848,209,364,420,824,022,468,277,982,504,142,632,
989,656,529,783,387,675,444,636,282,589,647,960,428,484,718,074,728,682,639,
894,899,179,805,075,485,757,509,501,453,337,882,947,881,569,285,312,494,829,
469,203,829,402,846,688,102,412,364,897,212,313,426,311,524,668,865,960,956,
866,931,445,398,209,021,014,086,670,417,432,466,530,914,986,315,573,319,028,
727,062,164,326,874,044,414,517,304,203,426,432,940,418,059,052,382,199,477,
761,942,639,589,239,139,656,028,068,295,994,085,390,269,333,024,770,881,764,
518,274,479,343,884,849,899,450,999,968,471,099,623,951,792,054,132,407,426,
912,412,279,656,305,268,805,691,567,269,094,397,884,132,464,808,110,254,905,
593,112,808,678,488,620,563,271,915,610,592,682,072,467,659,997,019,961,729,
815,628,230,102,053,399,135,015,059,933,175,556,166,111,267,091,447,258,736,
552,031,390,946,901,959,443,228,740,120,063,668,558,669,261,850,517,315,063,
213,551,790,698,713,474,094,099,564,564,597,139,078,018,515,540,922,044,852,
707,371,985,268,177,876,236,809,911,036,246,242,324,931,517,126,269,114,343,
129,001,162,363,864,677,446,428,346,065,002,321,094,827,397,647,513,813,077,
646,251,229,819,023,251,196,207,198,881,078,934,428,979,069,281,767,704,872,
665,526,731,801,217,053,672,901,506,863,776,286,055,185,875,316,164,122,519,
954,016,356,205,184,037,459,064,014,958,787,015,084,372,379,766,822,982,427,
899,413,814,835,335,589,275,137,968,671,054,615,078,243,128,828,473,105,722,
699,856,206,031,333,944,629,032,458,248,085,537,083,747,175,750,377,412,756,
640,406,933,504,703,991,689,853,227,524,695,366,560,511,960,933,939,034,416,
210,769,369,034,176,527,388,599,884,955,751,154,774,989,172,901,555,527,048,
127,648,089,833,803,463,596,207,120,963,781,305,595,068,709,020,736,889,707,
631,305,489,325,489,185,960,329,763,391,862,866,258,759,809,756,044,852,496,
357,336,354,963,181,215,352,287,796,265,431,696,354,138,390,125,676,054,158,
590,438,533,459,448,235,630,884,214,689,383,884,725,639,695,247,237,744,491,
116,217,727,411,516,111,359,431,095,776,771,072,816,708,032,052,667,477,808,
698,121,097,544,444,742,981,033,644,637,338,113,471,311,419,921,222,251,125,
069,197,465,935,210,729,196,984,463,929,807,088,364,392,947,889,310,345,016,
333,004,518,801,082,992,973,178,045,440,203,820,438,578,888,221,002,218,018,
041,563,558,221,329,693,996,626,479,044,072,252,070,180,569,662,837,730,434,
271,605,507,620,588,439,961,718,113,827,195,600,145,527,577,991,907,684,188,
350,332,394,172,328,170,812,979,711,843,139,124,547,969,893,096,886,659,520,
401,864,724,186,857,283,696,560,481,912,396,747,319,025,338,644,247,175,425,
746,193,568,981,886,404,781,010,739,245,393,729,446,270,678,772,584,019,919,
941,045,254,134,850,942,530,720,352,268,628,674,710,679,594,154,022,345,139,
271,923,356,754,659,969,724,583,861,678,498,875,267,071,830,567,927,904,217,
070,117,107,648,440,491,565,490,156,741,714,932,013,447,508,639,767,888,790,
215,905,037,431,328,690,199,662,029,741,016,149,633,327,962,727,727,531,106,
528,439,611,168,241,811,171,449,620,070,729,292,695,951,193,998,816,578,600,
675,123,714,717,227,648,896,870,004,964,672,989,190,994,292,741,361,185,493,
544,433,686,558,789,674,676,336,003,808,029,836,938,019,696,745,239,216,088,
903,003,283,753,855,221,516,251,854,633,568,811,536,557,095,070,571,210,481,
908,087,127,015,548,622,158,091,293,929,579,536,336,452,418,018,869,559,102,
693,822,046,624,605,920,517,944,012,962,329,520,041,423,879,661,846,555,022,
706,481,024,952,963,180,472,596,164,968,354,844,840,900,534,591,499,091,582,
539,993,140,556,978,849,016,495,588,096,879,866,310,695,035,705,365,518,642,
224,254,008,562,890,762,433,436,731,526,756,848,809,452,465,903,480,494,381,
098,702,811,520,470,367,986,293,553,240,906,066,460,298,064,101,651,448,033,
067,432,551,979,961,040,935,858,637,044,981,502,415,366,269,280,165,138,988,
061,738,357,887,762,869,363,426,921,980,575,584,801,948,565,077,469,032,411,
684,851,911,336,390,843,047,995,354,468,224,132,624,423,020,107,337,167,094,
568,331,715,615,982,409,466,090,075,139,040,097,237,234,897,561,755,783,028,
602,226,706,023,978,097,514,260,342,844,432,769,937,289,577,836,773,263,886,
569,223,317,592,066,092,916,547,030,489,500,445,273,856,291,037,787,444,724,
175,763,323,699,436,612,703,775,213,745,522,448,298,816,795,793,874,775,281,
491,914,053,204,992,600,318,132,075,017,009,482,216,645,497,940,769,416,836,
518,153,149,368,714,799,423,279,318,844,515,786,639,584,926,323,297,110,195,
450,752,055,961,548,939,842,230,259,177,826,737,847,416,170,285,361,787,016,
263,275,056,423,069,668,674,028,456,277,061,486,008,433,538,949,113,641,759,
769,747,324,712,936,531,915,245,364,552,411,869,095,226,768,774,147,538,385,
827,229,353,926,230,096,736,656,729,363,076,859,643,102,468,244,108,593,917,
422,536,865,852,453,302,024,997,650,337,928,239,862,986,283,689,216,365,471,
577,999,131,319,938,518,336,128,018,330,817,207,666,197,823,947,706,124,428,
389,570,270,047,800,727,988,948,347,357,695,699,378,261,909,790,201,201,504,
339,544,758,904,599,748,720,785,470,654,648,885,739,120,057,879,913,090,290,
900,528,308,851,733,132,286,395,183,723,708,575,616,774,528,772,281,021,525,
109,137,103,703,975,744,343,339,423,315,432,739,347,751,167,859,943,812,922,
110,120,282,724,275,985,452,441,993,549,094,182,260,122,557,231,060,820,765,
474,344,768,251,632,349,433,494,253,077,665,844,005,034,287,291,797,113,565,
910,321,916,016,123,819,292,890,598,208,058,993,391,576,419,921,000,524,288,
256,624,186,286,083,038,134,696,355,138,888,789,915,964,320,826,174,056,602,
275,995,844,838,744,700,375,284,638,798,139,418,570,396,414,113,848,606,824,
307,397,447,239,324,249,190,464,401,080,793,592,869,569,860,651,770,156,109,
261,401,684,629,865,298,743,470,551,591,529,907,344,987,532,904,145,426,776,
400,417,390,259,894,024,035,492,995,181,676,829,506,406,289,462,409,707,900,
394,077,390,661,412,398,350,596,204,874,069,824,800,527,553,540,462,647,475,
478,075,327,958,725,280,700,958,354,890,379,680,739,328,313,379,363,738,175,
204,323,402,008,887,014,886,012,008,158,933,270,537,134,616,441,616,594,241,
274,333,490,750,250,426,741,260,535,466,847,426,656,955,394,341,110,652,214,
444,298,160,512,255,289,755,496,768,685,712,301,471,767,961,438,573,076,127,
321,807,438,219,982,015,759,376,842,050,042,253,530,286,765,354,199,689,912,
733,068,841,216,234,924,204,212,955,890,746,462,504,710,601,294,333,589,466,
735,938,091,747,564,846,861,652,729,693,182,151,758,742,307,881,444,080,500,
978,218,234,122,940,482,982,348,776,217,202,970,466,480,580,107,441,071,002,
828,315,960,604,518,015,598,302,308,364,731,441,991,827,028,385,483,505,152,
318,656,630,401,281,367,056,835,894,520,453,985,634,591,749,574,527,811,843,
301,414,436,385,751,360,772,892,548,485,121,688,665,888,941,089,775,709,814,
694,468,472,789,314,448,542,063,164,265,607,305,306,113,776,461,794,032,248,
516,513,253,637,723,504,993,377,010,948,869,304,435,126,692,087,987,339,683,
828,699,969,847,405,372,020,981,041,250,067,289,910,693,203,136,235,023,492,
454,965,431,038,532,984,848,443,420,775,287,327,984,064,794,581,758,102,342,
533,002,233,952,523,304,124,454,355,550,324,468,178,254,518,623,642,805,029,
631,873,350,349,541,516,473,275,350,830,932,539,440,883,084,349,669,826,728,
585,328,769,031,082,030,958,789,025,090,231,351,584,347,586,448,429,112,585,
531,832,207,533,796,152,087,588,080,509,706,038,776,011,061,638,913,459,312,
494,868,166,995,043,373,051,571,391,898,862,159,839,629,689,101,856,392,363,
437,299,051,946,926,335,144,253,040,682,071,774,509,521,055,519,798,088,914,
858,140,853,410,550,749,595,338,663,125,201,161,457,070,356,799,988,390,915,
213,537,579,423,702,266,870,903,937,584,962,439,205,517,944,608,581,990,951,
498,223,977,692,706,688,246,594,015,738,679,667,589,185,668,807,987,162,198,
817,914,305,046,012,959,420,828,932,450,279,433,741,057,636,424,006,860,360,
473,702,234,100,670,283,032,081,795,323,923,009,613,039,024,154,427,863,725,
095,575,019,702,201,944,174,642,864,368,454,723,667,964,917,085,965,513,963,
930,097,414,731,904,571,810,494,815,926,629,306,992,848,791,605,604,094,754,
960,560,771,255,036,592,467,487,235,960,518,474,000,049,590,783,483,518,994,
928,105,563,693,984,853,753,478,095,401,641,611,308,929,431,372,741,226,165,
703,968,416,458,558,710,738,442,495,342,896,011,664,342,748,595,970,336,976,
576,809,286,884,632,209,456,711,901,473,395,847,941,770,527,682,048,998,033,
099,144,319,599,089,062,531,999,000,359,044,709,398,131,286,623,392,473,688,
139,381,515,339,080,646,333,527,176,820,607,001,480,616,290,256,434,152,723,
137,493,584,192,197,587,578,444,763,713,702,323,902,245,364,638,268,112,261,
375,076,850,248,539,449,134,858,043,213,547,743,381,795,816,836,769,153,686,
103,653,110,725,620,435,225,291,200,715,454,938,412,263,035,135,085,678,068,
915,190,786,467,935,179,446,471,323,532,299,562,497,862,569,142,341,193,179,
969,957,929,443,488,922,636,810,782,316,972,405,165,735,602,363,493,321,466,
212,463,907,621,906,482,613,609,071,177,449,274,959,940,934,425,782,963,396,
369,649,342,563,411,025,294,078,567,355,027,701,038,497,414,834,930,375,536,
483,079,697,184,901,901,064,530,373,493,529,540,828,789,898,953,059,421,121,
694,211,464,180,618,511,505,058,232,133,494,711,122,140,385,741,712,941,802,
664,335,345,600,580,144,157,125,755,673,808,378,699,959,562,430,166,281,172,
622,646,675,603,658,779,110,321,250,472,576,740,392,579,021,968,481,108,338,
352,595,174,579,435,641,851,898,102,639,889,819,253,242,584,505,098,272,651,
629,617,257,983,584,413,352,714,569,323,525,417,173,619,467,672,037,467,292,
866,726,843,531,996,951,496,843,622,783,630,482,505,326,993,717,003,287,291,
155,336,647,492,080,325,382,931,531,501,567,049,192,918,274,011,873,345,888,
341,389,587,163,375,215,362,474,644,685,693,636,414,653,198,683,001,169,847,
959,023,502,204,531,395,156,070,835,618,654,781,443,704,431,095,143,612,885,
667,964,540,636,002,216,801,669,135,203,355,248,264,271,243,710,214,162,837,
056,982,823,242,078,565,004,093,783,704,528,535,737,949,014,205,359,065,785,
148,275,015,249,146,853,859,388,816,489,919,384,068,090,158,818,466,448,798,
737,668,156,762,188,396,874,825,287,243,782,141,823,288,961,203,541,102,836,
411,635,677,632,691,284,149,762,095,573,128,574,810,174,343,567,502,655,417,
352,970,516,036,242,744,367,789,213,908,706,281,391,639,623,100,742,973,952,
654,775,693,858,830,759,794,714,652,346,529,494,102,295,315,327,184,214,610,
018,366,968,389,771,016,169,966,040,557,063,171,231,436,493,169,758,491,343,
743,058,248,245,732,229,622,265,004,558,845,533,533,195,841,424,669,252,103,
848,366,100,627,969,660,932,223,727,485,315,822,264,017,739,166,360,511,262,
428,101,762,425,571,114,944,284,374,932,671,202,493,223,034,824,274,876,195,
191,675,382,043,825,837,817,860,365,437,630,907,321,654,011,903,836,222,720,
498,566,354,197,457,145,093,613,020,137,418,124,466,264,884,384,290,005,372,
335,495,768,373,335,161,690,625,183,952,524,467,972,849,036,210,213,683,209,
281,563,688,780,637,211,370,959,698,345,416,964,775,357,615,363,204,910,608,
842,066,283,785,898,564,231,148,754,467,019,251,124,553,933,428,137,060,741,
025,949,329,939,184,215,528,833,970,091,053,501,425,143,123,498,499,594,391,
017,704,023,800,711,863,594,211,071,808,331,780,358,215,938,514,924,947,889,
147,820,809,091,452,323,094,694,774,038,272,440,210,339,302,395,728,794,879,
718,753,780,428,403,116,119,191,287,491,473,125,567,055,017,636,571,541,178,
399,620,263,188,502,584,760,797,675,610,439,747,425,751,354,033,093,807,665,
265,816,748,986,587,880,252,162,657,989,643,256,085,568,690,306,130,491,967,
910,644,123,029,979,221,037,134,469,240,715,645,419,227,293,263,070,620,764,
618,071,965,486,533,601,027,497,477,808,459,936,910,775,046,189,072,606,517,
510,968,010,911,441,135,058,460,076,658,967,349,545,675,699,169,302,149,808,
426,769,084,356,449,652,338,010,943,611,649,017,715,409,882,112,810,571,993,
624,259,392,884,959,348,463,815,006,540,744,134,676,787,271,457,780,673,541,
021,501,276,235,165,444,818,799,446,568,326,069,389,864,886,302,554,943,579,
648,081,406,797,642,221,310,367,187,537,781,169,105,984,170,608,622,496,683,
697,278,402,887,838,625,221,418,768,663,768,524,878,673,471,947,158,046,980,
473,250,264,239,724,690,293,678,490,850,116,724,519,784,773,470,696,929,267,
466,151,009,419,550,765,137,594,069,940,291,659,713,940,516,686,185,334,868,
285,554,484,613,180,475,014,398,552,862,123,908,953,535,776,929,225,889,101,
146,089,750,090,582,079,398,677,589,209,182,759,177,177,407,072,087,944,263,
031,848,039,962,494,885,679,109,518,279,461,274,502,340,013,717,074,647,743,
466,313,559,361,545,299,979,039,038,080,656,694,303,493,881,280,471,227,879,
653,730,314,726,209,557,953,799,170,328,478,273,254,366,525,104,483,228,751,
872,707,116,562,475,361,258,271,223,379,209,551,434,733,517,126,613,360,670,
065,659,428,741,542,967,352,876,612,305,723,917,494,205,273,671,409,884,409,
019,395,727,906,312,001,558,113,961,538,250,946,518,725,452,392,800,118,056,
921,028,612,647,660,608,654,503,659,425,577,989,529,977,775,552,642,105,871,
462,305,105,784,414,488,060,621,941,835,702,851,051,677,130,535,117,158,594,
891,714,347,867,100,783,437,551,639,350,214,193,253,544,109,216,892,656,964,
322,876,924,490,677,537,911,679,594,829,510,133,397,122,902,164,856,112,175,
755,329,151,089,027,208,145,879,020,506,101,546,417,068,834,430,687,340,726,
677,224,559,480,272,334,892,135,097,791,653,536,294,001,782,565,348,054,531,
612,412,573,093,282,233,318,035,368,011,588,223,949,047,177,409,559,327,027,
174,761,145,868,527,021,058,163,829,242,524,539,633,749,297,430,149,710,374,
085,210,677,157,911,975,997,211,765,755,335,186,605,847,256,743,861,557,845,
090,876,721,694,831,024,765,888,266,245,255,489,043,868,171,215,336,042,478,
610,734,161,263,070,217,727,057,699,425,062,226,819,845,430,906,828,801,771,
393,587,434,983,672,663,557,972,259,559,685,583,304,283,769,353,293,911,593,
430,308,701,036,398,540,853,720,439,738,755,366,133,975,816,531,272,282,574,
069,465,669,687,306,544,698,156,666,654,117,422,078,116,029,564,209,187,188,
376,464,316,473,801,895,057,930,584,047,086,589,122,607,951,202,437,079,095,
728,476,387,258,001,089,225,857,430,958,156,797,476,369,156,756,664,365,364,
029,845,629,067,379,071,296,509,360,348,396,023,949,957,272,960,644,621,454,
226,318,402,936,241,777,350,991,730,926,042,239,391,651,854,718,181,574,683,
532,252,334,462,495,965,413,106,368,825,106,006,518,271,905,648,434,330,316,
705,103,869,634,527,719,994,818,200,608,235,230,140,416,749,684,757,261,321,
910,622,039,032,411,299,013,219,375,581,390,675,790,939,832,143,742,340,494,
548,935,898,649,812,877,046,902,989,994,592,730,133,222,506,590,303,950,859,
245,392,441,147,778,754,149,739,769,685,152,299,401,622,894,341,236,083,859,
599,034,673,600,361,934,675,245,406,270,306,244,076,537,411,885,834,548,865,
118,289,415,598,116,904,573,458,533,429,899,986,045,962,206,419,095,405,401,
043,524,452,044,119,811,487,505,276,743,045,303,662,009,215,627,623,810,261,
954,169,612,173,014,026,080,469,539,068,341,333,357,231,880,389,074,262,577,
171,053,967,095,118,635,087,364,590,328,808,498,344,260,637,400,472,958,007,
184,034,121,580,687,743,548,567,818,107,757,551,634,505,331,119,522,236,001,
962,194,436,582,350,419,918,160,870,219,779,703,345,866,352,663,482,189,330,
466,725,821,199,060,020,858,554,095,878,066,376,447,544,771,821,287,596,704,
661,883,411,743,868,978,275,200,231,135,294,649,026,084,827,427,844,895,946,
912,058,255,147,262,986,758,994,646,215,855,754,136,395,898,410,007,296,149,
427,557,092,154,282,961,880,160,765,759,368,406,803,910,959,040,096,374,108,
095,248,921,559,026,024,474,914,484,555,446,012,453,802,601,807,130,916,411,
840,503,666,833,602,552,452,424,494,539,734,870,369,968,460,344,683,207,108,
135,470,538,594,250,093,706,776,132,640,747,980,874,326,747,208,029,000,969,
208,725,833,564,816,811,249,258,846,610,949,310,375,901,014,997,913,298,492,
718,236,407,640,765,800,796,335,347,650,987,658,641,461,090,431,307,016,430,
623,113,857,306,244,214,817,929,810,705,467,919,636,033,448,260,259,284,487,
231,057,173,551,656,011,867,614,979,027,653,817,691,381,677,232,337,264,511,
052,907,974,331,383,624,467,259,499,724,530,074,238,491,673,927,588,768,439,
146,305,074,336,881,566,081,680,234,094,765,221,208,286,563,791,009,838,841,
619,884,905,434,373,077,790,414,305,306,429,863,964,577,695,121,966,121,482,
177,418,180,334,066,873,261,111,948,798,545,440,538,703,612,557,773,305,949,
201,505,855,687,050,252,416,327,332,607,233,418,113,848,190,008,134,052,494,
826,301,711,944,579,137,816,108,777,494,656,717,418,456,464,460,092,590,274,
988,477,986,237,608,574,094,438,879,545,369,286,594,646,164,755,954,823,875,
166,209,671,725,995,138,446,187,091,144,953,487,791,032,350,735,237,561,030,
027,937,450,412,270,705,253,078,407,098,478,351,949,051,821,796,037,623,076,
522,350,359,596,268,731,993,148,326,974,429,754,330,114,094,184,300,646,888,
938,603,228,869,659,043,234,598,092,015,727,723,057,695,371,493,314,666,303,
009,534,313,639,867,605,685,860,895,888,775,409,792,767,219,457,816,621,989,
048,789,389,741,949,763,120,247,402,648,887,506,581,164,361,261,425,203,826,
934,524,777,344,140,732,265,950,143,682,662,464,791,150,724,049,151,916,450,
595,170,203,607,243,313,151,465,032,881,887,170,437,440,886,832,052,253,420,
695,427,864,184,234,483,501,206,264,106,231,690,250,311,770,439,929,699,328,
714,740,534,063,794,018,644,377,132,967,720,366,441,239,846,865,749,623,553,
112,960,996,663,560,454,721,608,108,169,037,672,466,668,334,617,288,276,427,
974,468,143,110,592,589,182,013,596,680,584,205,936,043,745,770,587,856,705,
723,378,196,952,271,763,704,812,763,865,230,748,228,350,217,407,091,327,361,
939,511,722,396,881,875,688,483,753,047,229,055,738,925,236,671,402,016,794,
052,660,689,395,301,142,457,586,497,824,957,380,572,767,702,847,551,073,806,
837,735,158,154,282,358,709,322,321,229,111,358,149,099,857,987,951,518,883,
338,106,139,567,246,923,296,619,396,825,811,029,995,515,476,757,025,507,123,
089,799,236,541,279,191,944,096,530,997,646,404,962,755,293,488,549,757,040,
247,063,124,466,748,827,670,950,013,422,672,398,272,223,793,814,014,986,089,
745,301,393,955,798,243,812,171,032,345,879,422,882,700,031,969,935,257,419,
756,557,157,288,614,389,261,136,608,058,391,559,161,668,256,360,908,345,750,
516,069,230,276,005,932,242,638,446,242,862,011,556,090,593,859,571,960,847,
968,049,388,441,801,160,290,012,857,090,488,228,919,208,364,778,408,602,893,
025,989,484,353,872,012,756,301,301,739,603,959,679,553,199,910,139,966,038,
935,138,174,606,710,102,677,370,991,171,027,145,620,668,913,159,310,081,778,
511,986,874,699,176,316,896,405,265,919,062,229,650,124,748,462,426,472,755,
440,582,021,614,179,217,633,943,616,945,229,550,300,189,577,172,018,612,612,
851,752,744,391,898,896,175,464,403,006,040,969,470,022,046,506,818,817,564,
890,538,267,147,319,083,023,558,171,540,476,014,869,967,037,038,141,305,760,
476,338,296,137,540,609,038,068,847,394,311,053,800,565,070,215,789,975,722,
310,494,606,734,174,936,848,863,644,581,707,068,564,441,049,773,561,340,897,
573,383,026,927,682,832,565,450,931,430,022,639,230,704,056,419,763,038,301,
126,794,689,609,433,411,373,192,611,322,539,224,080,903,888,959,912,002,426,
561,394,166,686,897,616,259,100,241,569,466,092,447,157,381,480,213,553,496,
117,451,180,611,601,390,863,525,288,343,263,609,066,882,619,041,558,167,932,
276,729,474,859,093,558,897,974,999,780,273,925,939,413,011,363,877,422,884,
303,860,267,438,448,149,490,193,566,195,813,471,009,182,457,446,324,122,780,
878,602,237,570,084,314,046,824,805,549,843,116,018,188,807,257,477,787,893,
156,271,423,549,288,967,761,555,626,562,557,735,916,696,109,501,817,938,480,
459,374,856,303,693,700,421,074,483,954,547,287,779,448,964,192,858,784,144,
671,779,993,581,771,550,976,233,119,783,052,629,892,370,971,939,170,215,492,
442,522,399,764,640,768,210,788,870,085,887,855,310,619,685,100,791,379,763,
511,752,121,609,868,636,571,770,193,459,036,015,162,171,129,974,266,793,982,
301,944,917,019,954,457,531,010,160,392,441,121,926,228,263,013,972,650,103,
736,609,683,456,302,981,532,607,368,806,029,431,932,281,636,623,368,690,021,
342,759,139,369,899,555,613,905,697,695,151,546,011,511,228,547,955,530,896,
624,268,072,121,759,570,399,356,836,983,805,406,343,285,152,720,987,771,334,
898,252,989,262,887,538,856,085,390,024,761,187,750,876,296,079,032,136,891,
856,913,154,493,617,520,964,194,978,360,056,461,447,839,129,330,289,727,622,
525,104,138,592,027,588,296,276,714,188,766,161,419,498,321,602,903,847,137,
589,756,384,808,221,687,390,425,590,952,835,672,904,074,213,115,503,222,371,
958,079,724,301,649,004,940,048,289,990,006,256,747,520,091,165,727,568,644,
564,742,616,348,797,428,840,366,296,605,600,692,201,224,123,385,186,234,088,
648,684,651,859,186,342,031,705,765,096,891,192,298,376,124,535,375,416,637,
103,430,367,459,847,924,825,438,452,953,515,980,244,867,114,981,245,158,872,
653,628,226,448,879,521,668,861,928,741,474,017,146,496,067,217,560,770,680,
332,974,538,945,901,261,577,786,266,262,890,042,447,690,417,427,647,516,729,
533,344,000,513,881,674,968,936,241,083,426,554,960,559,591,329,522,729,433,
507,198,163,222,012,409,625,932,148,695,411,687,491,404,490,709,380,123,838,
278,715,972,162,292,360,803,336,858,034,060,166,131,268,110,936,332,251,109,
006,175,246,215,109,126,175,806,286,423,957,501,628,630,499,418,605,488,880,
649,837,378,818,058,472,958,786,365,721,193,133,624,833,995,084,001,945,910,
885,938,974,523,076,848,535,307,671,900,191,881,947,601,295,394,497,765,508,
505,246,457,912,227,210,028,684,881,252,276,614,188,105,186,606,606,292,712,
230,458,569,288,531,104,044,765,617,771,212,218,005,820,399,546,405,217,561,
752,209,320,133,125,743,829,065,374,582,448,342,250,808,694,115,112,120,075,
993,056,403,043,446,532,642,207,668,457,679,075,921,646,703,844,350,463,750,
989,634,224,828,582,430,544,094,040,028,488,490,483,475,005,018,226,322,661,
383,800,675,680,982,658,786,190,926,280,692,082,830,283,598,988,322,624,497,
888,646,789,729,137,633,498,449,517,344,201,276,076,810,817,739,772,610,456,
826,649,654,694,369,762,229,597,369,859,290,847,603,379,155,589,524,235,754,
555,940,814,411,043,650,110,459,153,524,359,802,817,383,868,339,454,697,279,
563,193,991,889,119,192,013,713,262,427,216,761,809,007,690,733,830,519,036,
611,414,613,583,112,086,857,889,406,875,813,734,583,626,293,769,703,235,528,
681,530,067,630,038,613,797,627,330,312,837,368,046,729,349,835,542,501,512,
992,313,942,181,690,156,521,909,696,013,723,261,685,854,928,427,260,739,048,
710,562,615,626,136,487,571,184,832,931,334,887,098,818,944,078,148,283,428,
073,063,750,881,477,565,195,926,118,382,329,627,373,351,714,578,722,712,962,
638,666,421,682,157,044,859,317,743,828,324,818,997,412,571,487,681,757,912,
026,554,543,797,838,199,516,826,272,937,846,425,871,000,630,361,700,183,974,
632,663,266,450,757,233,023,564,818,789,358,468,324,813,545,837,726,741,705,
529,329,984,357,653,817,794,211,234,184,315,216,380,090,910,438,780,574,198,
512,736,840,589,206,147,124,958,902,516,022,680,345,910,675,520,505,977,417,
295,647,406,673,165,371,822,614,860,845,326,425,297,702,065,121,009,659,467,
258,370,530,446,446,833,606,289,886,040,675,401,924,431,113,461,457,298,786,
338,229,620,926,626,936,491,158,250,183,676,391,638,036,289,755,059,117,104,
630,328,962,140,729,767,148,180,802,638,204,153,102,162,081,128,583,547,473,
778,639,463,496,843,970,908,183,615,283,900,860,788,228,483,126,252,528,453,
677,564,318,825,755,243,340,587,420,515,254,336,142,252,789,768,757,072,551,
282,939,488,282,224,713,211,044,525,678,451,462,586,117,212,648,070,042,418,
903,315,449,496,180,884,163,145,901,054,437,110,657,605,660,481,523,013,752,
786,505,901,273,088,212,016,063,013,009,954,791,702,058,066,324,653,066,386,
537,564,656,982,809,954,917,241,402,304,506,666,041,264,724,242,941,105,139,
636,103,706,237,482,363,201,494,928,215,901,429,360,286,063,795,421,890,459,
667,304,403,380,048,968,972,844,392,371,109,534,930,024,863,858,966,358,172,
371,637,096,528,516,840,781,417,308,385,462,620,372,106,506,458,302,728,413,
005,315,237,411,957,033,394,579,719,547,039,772,179,013,152,644,302,833,318,
716,437,893,521,087,340,472,448,262,005,094,863,190,727,190,034,931,495,712,
264,788,454,150,394,732,538,112,050,269,357,786,223,127,153,729,220,742,978,
718,257,927,799,785,947,418,785,079,750,863,565,730,413,434,032,375,548,832,
047,063,125,038,450,352,123,208,453,634,693,820,962,382,569,220,511,471,635,
395,244,248,540,598,541,949,938,366,581,752,867,016,955,772,351,006,546,459,
580,874,105,572,089,687,390,656,513,196,189,551,585,196,877,797,922,676,808,
473,824,769,306,080,041,477,475,389,710,434,719,229,592,068,426,592,717,409,
076,262,901,181,596,241,188,088,795,067,013,742,133,590,584,413,234,051,492,
086,375,409,185,196,817,768,565,659,231,642,464,193,861,755,799,207,890,021,
908,342,389,062,129,958,732,008,135,990,915,339,080,844,206,219,281,519,057,
488,039,076,650,719,586,128,040,840,833,345,556,696,859,670,342,293,233,847,
183,017,347,927,028,386,945,087,576,807,204,798,530,941,241,921,897,134,929,
039,931,197,465,689,038,259,495,510,001,584,686,192,708,989,946,184,800,197,
495,414,247,504,550,244,572,020,919,942,435,888,404,084,852,105,205,209,252,
091,396,361,501,558,821,232,251,395,176,581,559,634,676,749,435,595,450,004,
052,678,177,128,489,526,225,338,361,642,795,245,181,479,673,360,887,531,871,
384,604,157,538,115,590,341,789,077,417,622,187,103,526,555,524,157,854,889,
391,140,764,622,800,680,286,636,845,095,504,342,536,247,590,632,602,797,954,
641,401,571,744,889,289,298,492,461,953,789,298,115,346,058,666,306,301,990,
533,582,951,555,751,928,984,018,108,436,891,458,349,144,102,887,633,350,979,
856,029,115,502,967,479,988,296,205,558,058,178,297,123,390,609,055,183,422,
040,083,459,426,763,698,339,120,261,830,735,600,283,634,828,879,904,822,509,
650,794,053,074,987,867,192,476,566,372,328,502,916,283,551,672,032,893,038,
383,790,136,445,596,509,032,100,789,556,262,496,710,719,369,249,505,825,462,
267,468,140,813,418,103,904,432,632,683,704,088,594,778,456,500,471,741,471,
913,469,683,347,284,540,267,037,699,354,041,755,417,856,106,751,649,112,387,
875,348,784,541,786,102,099,900,218,486,450,560,668,568,305,794,587,714,063,
111,070,959,945,643,101,891,993,787,830,151,726,817,183,299,866,699,962,289,
353,829,251,603,908,483,124,694,118,360,318,409,222,952,149,626,329,867,652,
623,111,274,162,645,449,648,845,481,658,448,359,395,709,069,996,179,183,152,
502,917,366,494,718,802,865,661,504,589,449,942,938,564,902,183,160,624,747,
546,525,171,316,339,044,677,564,784,428,463,074,181,298,021,100,382,423,622,
343,918,374,943,085,003,130,124,958,629,815,361,027,896,567,505,588,043,513,
092,710,929,579,523,774,076,758,937,374,697,516,244,373,528,501,100,364,382,
887,326,604,476,404,722,036,599,786,319,184,035,505,640,158,580,625,537,543,
190,915,162,943,266,083,353,335,353,043,331,567,975,329,940,141,009,711,203,
306,091,403,940,130,565,584,764,120,163,583,187,031,356,951,236,622,064,864,
109,062,887,831,532,127,126,394,461,188,658,467,478,197,924,459,139,766,529,
143,329,078,026,881,230,240,889,289,264,531,447,571,945,029,964,511,291,194,
939,445,325,279,101,888,235,320,414,066,708,985,560,633,903,299,531,802,266,
626,696,289,405,928,458,971,695,513,728,017,993,344,447,086,405,641,057,693,
748,842,702,881,224,359,777,048,432,001,641,213,823,822,456,557,774,103,370,
657,077,856,482,275,589,885,090,549,294,540,226,768,295,925,630,239,618,385,
283,916,500,738,941,927,816,727,844,554,135,970,169,147,187,771,212,185,102,
661,139,780,340,571,012,373,813,365,736,500,780,995,175,490,848,332,262,553,
107,648,903,503,652,381,110,995,582,543,867,814,154,279,246,923,940,468,491,
038,101,212,411,492,406,843,449,079,456,808,854,133,176,932,395,712,956,818,
281,361,077,469,382,061,832,189,327,840,039,210,151,429,281,072,179,536,081,
683,223,977,687,392,082,430,991,165,344,461,330,214,778,407,033,732,931,841,
641,378,411,792,078,901,920,977,012,809,342,225,005,652,215,693,008,158,568,
665,905,196,757,435,404,338,978,021,237,126,938,626,349,651,971,839,939,755,
732,131,242,574,381,322,267,129,086,345,729,425,303,737,224,770,738,770,435,
083,834,760,527,405,667,519,069,619,027,920,994,706,274,693,720,382,105,335,
850,584,936,992,452,789,982,106,416,674,737,284,881,109,494,159,575,655,758,
919,755,827,231,280,771,479,565,709,075,521,319,745,738,504,220,993,211,711,
656,066,372,941,081,834,523,884,946,003,228,224,327,985,681,383,811,930,339,
022,582,182,014,547,532,375,443,514,060,054,787,022,434,264,580,016,919,912,
687,265,605,231,811,023,039,108,900,158,491,570,457,031,496,521,215,126,843,
995,321,256,167,977,641,738,609,584,683,582,425,780,312,222,711,821,542,026,
394,103,340,378,699,207,750,133,966,546,321,304,201,834,823,135,680,921,070,
594,098,513,844,805,482,194,878,700,576,059,361,673,004,650,239,705,037,536,
242,028,283,519,393,197,371,697,815,019,449,930,617,205,976,527,059,151,703,
674,018,957,941,113,410,274,817,377,681,113,772,944,715,928,948,975,574,463,
778,027,368,531,369,492,397,096,842,884,586,808,363,283,248,135,721,121,599,
856,341,569,783,315,119,117,129,291,025,866,087,815,379,970,531,648,875,694,
179,944,361,915,388,894,575,341,782,086,092,436,490,844,102,715,413,740,421,
512,922,240,606,014,179,451,202,839,380,231,068,317,729,050,372,370,561,213,
194,439,389,612,585,420,288,783,597,529,048,809,644,710,681,111,708,932,788,
518,569,181,729,792,187,818,856,483,861,177,123,924,493,617,986,289,756,511,
104,592,669,006,726,717,458,328,299,424,266,944,905,953,650,029,055,764,753,
709,788,866,972,177,240,443,143,620,657,599,317,453,841,764,212,664,720,263,
625,141,847,113,493,140,815,502,973,115,362,004,146,912,640,451,302,907,986,
116,773,260,359,808,054,882,388,057,228,311,434,611,626,713,074,594,493,644,
991,700,930,704,099,689,990,510,931,843,147,744,990,629,199,458,444,168,106,
967,001,225,106,892,552,776,998,993,981,680,573,677,101,606,526,773,842,507,
467,513,163,180,642,695,593,343,221,190,589,470,065,396,698,870,028,646,498,
811,647,095,291,078,233,137,101,981,740,803,725,445,962,211,479,984,644,698,
717,464,423,870,059,684,956,631,153,540,010,204,684,432,025,711,525,640,136,
146,402,559,223,673,289,970,435,972,620,715,445,921,639,922,796,464,849,823,
973,589,003,122,282,087,307,961,616,132,917,159,098,144,350,764,340,550,606,
167,529,282,906,239,209,175,284,858,025,858,349,246,301,851,802,340,362,091,
394,836,031,724,243,963,066,630,698,203,262,474,682,155,716,819,292,931,829,
324,199,311,701,296,911,771,280,700,862,431,356,780,022,367,846,922,283,640,
765,310,628,388,413,420,135,070,302,663,378,174,613,891,417,819,382,140,076,
448,795,140,431,991,023,373,188,328,067,529,432,153,767,176,878,809,097,671,
245,349,086,856,855,734,534,794,288,247,471,180,333,114,572,396,804,793,656,
208,720,600,032,530,083,016,755,623,820,224,497,704,078,405,464,271,490,164,
195,373,401,142,266,221,340,742,731,687,091,403,400,012,533,045,581,152,611,
864,288,792,120,226,787,244,194,357,184,701,168,131,232,953,318,786,947,021,
588,268,356,773,714,115,694,953,743,107,598,292,127,581,768,137,724,756,045,
558,707,079,549,155,128,337,681,168,836,693,076,446,327,323,787,547,697,832,
648,587,842,278,104,355,026,053,058,576,227,467,935,328,918,659,080,631,721,
535,986,694,671,168,566,346,326,941,875,836,987,740,056,024,027,396,127,612,
631,404,525,905,648,002,641,822,864,921,926,517,563,386,074,519,671,659,709,
385,711,425,049,398,949,335,881,632,526,680,039,130,844,407,990,819,671,183,
427,621,496,208,394,359,515,657,936,119,148,147,530,884,572,564,038,610,004,
910,097,716,945,819,057,851,351,875,315,514,783,535,426,625,536,480,863,947,
866,681,807,388,724,788,751,218,563,384,235,870,943,697,042,520,760,831,532,
025,625,245,005,590,739,451,254,918,865,682,168,282,246,083,015,668,400,711,
227,983,005,807,243,466,591,841,288,286,482,731,987,534,637,955,935,559,462,
836,155,439,293,580,844,444,035,376,797,793,815,662,239,243,556,232,318,955,
244,321,677,449,376,756,282,481,393,863,832,363,253,985,389,670,421,169,417,
969,480,961,587,159,192,453,941,008,664,178,362,640,505,738,510,726,356,297,
041,885,023,563,842,684,123,111,993,527,777,695,210,332,716,234,073,046,249,
916,556,177,584,493,955,247,590,073,616,789,243,053,214,225,305,252,970,777,
518,867,711,700,402,611,850,610,120,704,265,140,266,173,542,484,426,104,932,
690,671,538,526,066,360,270,348,551,362,097,880,039,151,196,023,724,400,867,
299,731,339,483,928,657,133,069,815,172,954,097,913,795,870,199,728,824,340,
144,067,057,594,620,485,035,727,135,941,253,813,106,457,917,790,201,960,979,
045,091,174,624,805,892,835,672,392,108,276,157,697,468,171,320,421,015,765,
344,248,791,722,466,147,238,589,975,798,861,585,864,166,553,706,773,922,803,
900,279,124,419,243,588,223,580,014,079,811,884,684,227,120,397,050,632,848,
920,821,977,668,905,958,186,823,067,229,696,382,764,374,077,530,828,570,969,
208,026,102,783,962,903,630,368,380,085,768,533,243,719,145,896,202,588,747,
424,225,902,919,540,029,956,296,869,248,895,025,895,008,730,289,999,595,458,
934,149,930,162,761,393,537,322,328,739,141,976,075,635,211,440,421,830,948,
481,270,678,459,838,580,285,551,602,230,187,848,432,374,470,387,309,545,862,
389,243,707,477,103,870,462,412,683,175,581,223,373,406,798,495,271,469,971,
735,528,412,160,983,041,260,639,937,978,616,462,700,636,417,472,918,786,058,
080,309,879,226,189,634,124,521,406,624,942,691,324,328,491,439,326,773,018,
662,211,864,861,082,901,285,186,524,178,925,582,542,133,816,821,201,041,608,
287,382,085,939,191,254,493,692,654,150,415,119,883,379,388,728,832,721,728,
714,313,485,528,537,153,895,683,612,180,965,473,824,842,942,241,310,191,188,
657,533,118,303,481,224,073,318,891,442,689,953,950,405,487,773,225,277,654,
897,348,252,683,860,733,390,649,018,503,389,914,772,974,332,708,361,789,709,
256,470,592,948,425,879,016,595,991,198,472,947,233,153,099,675,946,125,478,
116,932,379,960,458,043,069,034,674,141,553,045,132,997,428,378,581,083,112,
276,309,285,597,109,422,993,021,767,326,094,942,495,632,706,962,461,882,475,
173,701,732,785,124,306,051,484,447,721,231,419,843,241,751,658,949,346,200,
949,146,044,722,792,857,494,988,393,615,942,313,914,214,012,484,351,574,832,
587,713,431,302,183,966,345,760,663,776,566,670,965,781,089,935,907,450,008,
506,238,434,419,413,808,191,458,479,544,340,453,628,040,162,342,884,847,387,
952,928,141,461,877,064,298,605,601,707,648,048,661,493,149,293,926,520,253,
508,595,372,291,470,862,719,861,373,835,207,622,774,259,833,178,106,393,570,
533,930,315,004,999,288,589,870,093,757,637,147,068,236,198,173,086,484,609,
170,834,491,161,582,842,810,402,177,168,214,785,818,637,358,820,908,101,726,
431,515,387,378,176,010,396,738,509,215,056,969,461,562,115,273,056,131,238,
818,994,808,327,246,066,054,349,909,071,506,706,986,141,591,286,489,122,541,
143,450,974,974,094,202,601,679,251,009,645,436,161,197,614,785,789,724,142,
523,289,853,591,643,092,043,941,716,837,445,047,077,534,072,862,250,877,517,
926,566,694,913,225,461,132,495,891,300,284,016,115,175,208,863,056,018,949,
050,824,915,801,550,141,805,379,567,003,661,556,446,724,738,475,318,951,275,
348,315,891,702,817,256,425,967,209,135,709,058,597,763,423,005,328,384,810,
404,208,543,278,660,268,517,777,315,681,456,659,200,994,998,021,278,482,012,
521,122,179,546,379,216,921,636,763,056,532,997,261,595,059,271,662,823,065,
829,054,569,619,391,029,443,282,059,899,638,223,960,140,294,448,257,014,520,
446,192,861,803,059,770,142,738,321,284,833,858,377,200,416,581,402,682,129,
282,192,567,794,944,170,333,100,809,906,007,325,018,962,665,704,029,634,284,
893,576,438,612,189,943,235,822,054,054,467,611,621,235,384,148,757,525,640,
373,226,127,027,052,000,295,507,180,216,450,715,910,389,657,859,216,543,970,
335,197,505,815,722,386,240,097,235,544,486,867,807,465,108,169,129,866,548,
039,052,649,184,276,025,932,752,449,860,634,410,666,305,906,555,223,485,344,
430,813,440,313,759,492,970,032,560,074,122,231,936,184,978,180,755,882,011,
566,344,957,991,637,878,527,705,177,110,149,097,377,038,629,659,888,939,145,
622,632,333,236,454,686,805,891,200,319,517,170,804,839,058,472,035,857,883,
405,408,759,709,992,239,496,939,425,307,838,808,904,425,951,587,885,157,782,
848,074,168,333,851,949,205,711,510,378,357,512,185,412,217,000,689,610,726,
873,040,064,310,084,332,447,205,891,348,251,070,311,522,222,636,622,150,464,
846,263,645,925,729,410,147,597,818,335,404,392,276,290,506,775,085,462,237,
280,202,828,075,870,635,806,822,830,388,862,498,658,983,141,770,068,509,298,
052,517,426,823,406,158,566,905,324,982,060,783,458,355,619,578,331,344,865,
348,065,711,911,958,249,900,582,088,010,033,953,354,102,369,045,487,246,637,
163,024,294,619,826,603,398,398,883,065,330,639,443,498,465,244,065,304,617,
162,089,229,893,122,286,765,585,723,894,421,679,584,726,239,442,878,799,583,
273,676,116,823,234,054,961,093,244,064,131,333,911,035,954,504,896,759,159,
260,342,538,498,912,490,863,425,766,799,486,004,845,284,442,586,324,073,509,
938,715,626,099,127,677,602,989,210,672,291,242,994,648,340,625,012,525,462,
420,579,220,338,161,023,970,910,885,552,428,805,627,214,067,001,632,376,020,
415,972,458,869,484,709,338,942,600,536,183,326,786,779,460,147,532,448,456,
982,469,733,231,512,077,063,510,324,409,572,289,181,180,878,218,721,905,246,
692,645,830,314,715,046,166,711,005,363,754,404,874,046,779,671,464,898,512,
856,259,319,071,026,914,159,885,972,682,321,637,871,366,477,672,756,597,269,
465,216,486,741,828,249,781,398,369,559,382,137,139,920,789,758,084,146,565,
619,391,242,058,527,319,087,589,475,169,241,408,672,708,139,676,430,685,141,
974,343,586,292,257,121,016,758,414,836,364,134,744,319,484,029,152,091,649,
805,222,606,284,530,134,432,099,489,722,775,293,764,961,494,598,332,491,031,
203,244,472,867,957,553,604,244,867,759,165,243,773,950,748,459,158,814,685,
275,410,105,999,614,984,448,551,546,057,599,316,309,740,733,587,913,819,928,
765,018,554,160,612,743,033,189,676,049,947,412,952,201,004,295,286,012,160,
442,147,583,914,709,776,253,370,957,796,409,581,750,669,838,463,702,345,238,
288,767,059,007,462,628,286,871,231,323,533,665,875,714,069,949,507,793,525,
295,221,975,348,097,829,387,748,529,099,103,403,756,255,359,950,702,819,438,
466,136,111,733,202,656,079,774,307,036,758,167,812,296,386,132,534,259,533,
709,740,449,882,478,051,385,258,672,892,916,415,851,692,820,351,809,892,720,
060,065,519,898,551,822,130,829,443,045,341,697,650,401,999,612,968,041,611,
161,282,854,645,163,538,053,404,040,993,529,932,423,524,784,383,912,396,626,
724,474,772,511,122,582,142,250,385,489,729,543,353,847,289,144,118,598,951,
338,888,450,786,672,613,413,882,254,320,763,189,339,238,625,035,795,001,474,
698,606,740,839,556,920,702,483,476,431,468,420,460,966,220,111,664,678,718,
161,802,555,512,088,339,709,939,385,750,008,952,407,155,050,641,899,219,158,
582,057,833,568,966,631,694,131,548,872,075,168,674,939,874,484,282,959,639,
117,729,865,121,733,740,516,792,994,181,478,156,122,057,877,319,775,129,726,
477,846,220,032,806,707,799,652,108,128,893,907,308,268,460,920,763,306,274,
559,772,012,536,607,345,765,080,994,812,551,956,837,397,188,308,803,565,992,
926,800,083,676,751,744,646,347,564,713,168,963,423,323,190,708,341,553,960,
260,138,207,553,178,379,283,444,136,811,914,158,585,413,806,806,546,563,702,
464,541,025,788,887,654,073,277,093,499,921,778,216,417,802,829,229,573,103,
405,437,463,936,910,779,083,289,705,415,509,034,625,288,905,093,601,998,083,
181,043,255,486,400,787,566,646,605,581,767,291,095,874,949,281,214,169,995,
275,483,529,351,702,587,393,248,612,996,594,321,082,968,251,724,154,294,050,
651,533,399,746,001,908,284,291,796,731,584,601,459,017,722,226,856,203,840,
989,441,999,697,619,699,532,470,666,767,016,229,601,757,617,005,691,866,340,
212,156,742,724,028,693,047,391,488,184,527,099,192,418,750,106,425,119,290,
741,290,604,881,744,519,841,312,066,032,960,130,449,797,683,885,330,269,042,
555,338,424,283,181,121,215,188,660,720,209,820,525,048,933,660,019,503,048,
752,365,756,464,168,373,683,913,353,042,830,953,185,729,377,317,692,912,143,
222,552,357,443,387,572,307,682,522,855,425,238,892,045,105,991,144,121,835,
038,521,231,698,308,057,699,047,822,745,452,473,785,738,870,013,479,460,862,
466,671,169,236,527,843,196,208,929,812,634,981,756,926,900,471,574,753,695,
195,871,616,020,849,691,412,898,897,187,052,833,815,615,318,770,799,634,629,
017,557,553,017,573,243,698,727,131,707,205,240,531,413,618,110,862,326,051,
027,965,094,853,482,351,298,078,820,377,964,546,711,397,131,955,891,495,255,
550,905,247,385,236,027,165,074,889,238,509,855,112,576,662,516,006,657,159,
777,987,287,534,667,442,665,093,875,596,163,676,143,510,351,262,429,716,755,
768,366,848,381,318,899,602,228,506,121,372,741,205,624,153,110,409,709,696,
858,568,448,782,983,685,559,258,764,861,908,562,173,670,353,079,655,014,093,
722,668,236,302,425,808,040,622,599,323,269,083,786,279,076,800,270,191,125,
019,804,331,514,689,915,526,312,832,667,541,376,084,533,132,297,606,816,059,
089,967,372,096,976,433,907,243,506,505,868,790,207,194,505,752,507,053,044,
832,473,324,674,079,444,026,051,667,834,533,837,770,872,691,215,090,992,999,
543,887,698,968,436,575,329,780,465,602,530,748,447,342,705,968,517,558,279,
355,282,874,182,244,118,148,803,406,607,978,682,987,728,689,765,701,359,407,
954,778,514,373,090,980,243,011,824,520,964,322,110,564,358,654,683,273,085,
702,419,236,825,918,939,337,369,789,911,209,341,991,855,586,083,921,379,347,
347,095,887,633,827,428,755,050,571,791,514,276,675,669,434,654,091,400,818,
876,529,131,048,203,701,791,045,748,280,700,308,324,315,143,624,688,858,835,
036,457,359,362,464,537,865,612,994,459,104,286,398,210,329,966,651,483,787,
434,368,525,919,840,585,094,376,537,967,854,589,985,377,169,249,454,702,615,
095,649,927,877,820,922,912,297,850,033,849,180,201,047,521,630,779,899,268,
733,825,873,452,600,174,507,062,955,643,048,474,691,216,212,924,651,371,792,
898,626,284,260,634,900,623,847,131,281,951,202,564,577,634,851,556,931,007,
687,600,266,833,829,097,875,147,584,521,985,703,732,521,322,181,665,839,390,
986,143,054,347,329,887,239,906,410,602,131,740,012,296,279,750,658,543,311,
201,759,640,023,952,778,028,994,583,132,164,851,801,674,568,686,906,455,953,
650,015,501,070,361,008,628,716,261,874,024,805,670,663,876,831,804,909,857,
000,986,608,346,695,533,449,836,246,524,310,377,347,894,181,213,895,041,022,
551,995,202,609,507,723,634,157,986,259,751,067,835,418,637,521,847,933,232,
428,094,926,108,991,501,778,230,729,374,253,352,460,023,739,569,833,581,330,
802,085,649,943,548,923,028,112,459,251,971,357,128,443,077,499,237,793,621,
711,602,950,378,425,214,190,489,500,225,543,732,965,098,161,676,160,497,831,
213,591,116,099,114,442,163,174,067,415,237,485,880,266,497,451,079,537,538,
693,580,474,739,401,010,938,612,889,524,168,835,350,430,414,722,790,141,014,
408,100,137,329,587,779,199,456,804,798,644,875,219,351,154,960,581,463,389,
235,901,210,391,390,190,656,593,266,509,144,573,773,413,554,374,289,234,870,
637,803,775,840,207,449,140,988,499,617,405,506,133,054,478,239,500,119,364,
603,134,095,482,357,996,811,877,871,013,785,798,700,102,183,298,730,442,808,
562,945,921,019,942,107,468,343,931,716,490,618,167,877,659,343,502,239,362,
321,142,989,256,594,959,328,515,623,891,740,229,285,856,169,671,936,378,658,
831,588,143,443,478,885,407,063,947,322,833,201,972,865,321,259,511,101,743,
702,406,842,274,363,060,157,691,685,555,888,015,789,929,684,066,251,601,963,
249,176,430,541,238,737,476,244,840,560,416,779,286,016,436,709,887,050,930,
921,780,511,186,351,116,207,697,684,967,198,667,747,020,711,888,015,813,945,
299,846,884,172,787,122,864,097,752,096,858,910,997,070,549,355,783,447,000,
048,919,840,206,888,199,153,577,440,288,053,859,290,626,168,354,244,914,548,
708,034,908,574,858,734,728,053,763,986,881,825,819,064,850,290,463,523,651,
732,444,747,293,977,251,445,276,736,339,624,420,805,786,624,523,301,367,177,
174,300,037,873,296,788,282,641,562,715,795,605,097,712,494,932,334,236,387,
640,026,476,414,487,415,233,175,760,905,765,129,284,410,436,732,569,741,734,
720,492,505,603,415,076,729,744,522,740,589,014,674,958,564,828,414,371,252,
125,908,523,096,681,661,989,406,756,394,114,412,133,677,573,790,421,011,397,
577,739,465,899,520,056,238,023,095,966,336,914,558,550,531,632,496,183,814,
516,392,109,182,577,891,846,238,836,040,986,903,109,034,759,872,711,241,024,
920,569,713,048,939,341,379,007,759,997,835,159,771,121,829,305,887,991,929,
908,333,771,742,361,177,388,285,050,893,513,456,482,035,085,925,253,338,451,
581,600,137,911,384,587,936,384,274,275,362,864,287,859,141,910,632,963,324,
835,359,012,191,754,008,324,528,025,616,380,004,607,814,002,218,874,736,328,
193,745,533,288,550,683,796,401,940,739,410,868,497,566,597,408,291,614,037,
720,483,012,831,554,528,405,498,475,722,348,958,259,852,959,652,791,241,342,
045,459,055,328,236,172,681,148,156,169,553,256,393,848,184,418,067,632,200,
109,605,840,520,392,216,273,923,141,532,864,516,987,893,582,933,298,219,629,
529,691,519,041,559,109,902,060,914,158,703,713,625,442,023,144,552,533,970,
610,849,537,613,615,246,083,780,562,813,536,747,332,629,524,716,616,093,425,
987,000,069,021,653,794,778,882,435,334,523,088,024,787,594,140,278,273,336,
325,906,750,296,380,111,448,963,312,355,628,015,320,679,257,464,408,278,069,
061,186,325,739,948,252,964,506,212,568,616,957,552,433,846,808,077,021,190,
766,074,162,496,608,431,522,813,162,420,464,912,060,711,935,604,609,326,451,
266,926,243,539,301,165,274,137,107,915,205,998,017,662,098,603,678,008,195,
675,214,660,235,099,544,400,825,514,451,519,573,227,652,311,595,367,529,536,
431,517,979,221,044,736,255,860,032,971,418,947,096,158,155,003,885,176,019,
243,970,328,351,293,532,990,576,571,046,035,415,838,607,165,034,813,581,421,
944,720,788,309,249,442,856,272,533,598,300,601,109,464,654,781,747,569,349,
164,300,745,740,615,237,877,066,469,687,602,426,520,449,530,208,901,014,148,
818,536,894,633,651,256,382,748,939,689,634,359,343,955,806,088,364,096,019,
068,529,724,285,063,629,878,015,225,492,989,376,121,676,216,592,675,148,036,
658,771,206,769,917,605,451,246,810,143,262,588,000,321,655,893,430,494,511,
871,315,805,748,493,630,980,671,690,940,544,693,431,116,585,576,990,476,721,
321,483,199,892,219,384,578,439,104,446,039,936,077,063,994,163,957,947,159,
068,047,970,064,998,267,620,193,251,003,261,817,149,919,811,068,024,454,625,
117,801,342,690,324,977,958,837,815,254,022,467,392,114,197,351,693,464,362,
323,446,614,744,734,406,519,420,339,836,429,433,641,248,131,544,438,955,350,
408,607,032,577,048,884,455,448,161,153,957,614,964,563,278,786,093,986,512,
241,288,045,975,084,490,379,963,757,105,193,622,132,442,828,965,178,671,471,
147,299,495,652,862,469,361,808,257,803,374,061,580,642,112,088,703,780,973,
801,116,257,606,334,075,910,851,439,062,520,760,536,415,766,457,636,319,657,
417,161,002,999,838,366,635,757,156,998,137,227,452,174,278,696,228,584,310,
162,917,281,858,001,316,469,521,753,945,869,362,309,420,383,695,256,408,338,
830,147,289,490,828,694,092,069,902,497,723,710,286,655,312,442,839,391,014,
246,806,305,077,479,435,331,740,687,900,297,566,304,208,774,913,022,747,893,
244,567,673,589,765,396,995,699,203,040,643,084,032,718,019,152,288,359,199,
504,836,015,019,418,036,662,630,170,567,544,298,122,444,119,860,620,313,122,
855,561,529,023,559,711,654,559,739,097,049,269,944,094,638,915,564,994,780,
269,094,254,325,864,515,594,069,620,218,334,341,601,364,747,645,999,633,341,
047,434,788,875,459,288,470,082,111,495,969,208,961,330,234,722,566,748,564,
391,787,621,403,020,261,891,318,871,690,064,142,882,357,276,237,117,099,749,
010,603,458,840,005,548,026,393,487,992,659,950,051,940,769,601,745,275,506,
979,052,457,253,153,121,291,955,556,451,888,350,909,724,334,672,370,188,544,
660,627,863,357,053,642,279,585,293,652,507,560,410,760,318,084,189,620,384,
766,789,082,280,344,682,598,437,368,869,975,029,347,901,901,029,628,776,112,
353,786,969,791,968,343,882,628,722,182,805,717,898,291,330,023,133,676,312,
262,214,313,884,199,346,352,402,752,651,334,696,247,771,190,421,471,025,004,
266,699,472,991,242,846,963,009,284,719,638,960,695,975,315,848,121,795,999,
666,359,895,799,404,606,785,490,386,443,824,216,718,953,672,659,691,266,970,
042,912,480,401,018,235,946,772,328,252,121,814,937,682,740,666,494,433,794,
462,145,217,589,511,617,468,647,792,002,395,126,492,986,532,361,069,472,062,
751,221,548,822,999,184,684,696,775,905,006,658,277,579,566,455,043,778,873,
713,541,665,547,221,888,766,290,615,594,712,057,550,819,477,914,409,137,247,
084,493,995,949,620,533,114,038,109,653,258,373,479,278,514,100,847,768,970,
399,559,775,036,103,486,296,211,466,907,538,525,851,580,019,819,109,628,728,
690,936,429,434,303,863,255,618,640,265,783,197,237,172,832,347,301,864,537,
243,078,613,947,186,531,780,433,779,332,830,684,473,218,881,404,303,162,555,
583,802,266,750,017,255,856,401,506,801,580,321,855,118,486,859,496,744,531,
719,663,023,032,607,397,892,666,872,271,251,399,509,603,494,925,088,097,755,
986,498,768,129,617,528,962,092,873,842,244,909,057,738,998,513,390,457,376,
049,823,126,105,987,662,956,947,701,750,354,255,646,159,193,056,373,196,917,
828,447,841,674,083,044,950,407,852,371,864,777,872,908,194,112,547,825,282,
113,500,142,893,616,398,589,903,184,948,293,939,334,847,981,234,986,093,614,
856,230,996,613,629,230,395,943,994,822,943,441,773,471,159,179,084,649,853,
772,296,436,151,258,012,694,074,189,549,095,652,579,416,000,263,876,905,707,
211,752,217,625,617,291,964,401,110,515,513,714,784,619,027,118,114,560,230,
178,751,915,045,039,636,541,169,052,901,797,362,817,433,835,762,413,306,995,
254,236,300,729,593,089,127,690,861,760,318,717,348,269,428,096,137,133,059,
487,151,822,180,968,615,572,854,188,167,144,125,599,436,582,190,963,936,878,
476,256,476,242,544,281,507,194,271,827,105,253,339,170,131,495,541,186,818,
379,895,132,698,298,981,128,499,874,297,114,625,132,572,337,022,113,757,821,
293,041,520,439,799,860,715,397,048,025,625,676,308,795,044,936,220,936,006,
782,544,977,164,556,043,659,339,562,181,870,094,106,522,878,303,489,380,243,
259,040,872,014,337,319,356,674,661,629,432,725,532,650,301,304,375,850,491,
337,127,688,731,508,041,380,378,166,008,221,522,953,367,248,671,670,204,455,
046,482,841,067,814,232,665,157,322,288,937,866,329,618,296,481,845,422,189,
476,481,582,455,862,855,152,746,966,391,437,513,393,452,928,222,122,952,360,
225,187,997,346,654,006,166,655,041,522,390,996,745,657,318,981,928,469,765,
023,239,485,086,703,399,303,108,731,581,008,866,014,264,720,393,278,506,766,
127,208,402,557,810,632,193,939,970,911,808,416,468,313,881,508,437,732,035,
687,753,735,707,157,939,691,472,055,148,820,997,450,948,223,299,914,634,446,
288,192,282,423,023,695,326,818,212,155,106,862,469,436,192,964,368,284,676,
943,427,602,009,466,525,878,110,616,730,948,696,811,787,850,547,851,288,999,
439,281,198,424,390,504,801,297,413,857,290,301,018,634,216,470,442,195,591,
079,047,864,546,194,282,115,160,533,294,430,191,338,654,056,918,409,604,615,
754,854,986,597,802,504,325,861,061,315,655,772,108,298,023,063,313,623,504,
036,907,589,746,080,152,857,207,721,336,656,045,246,458,232,458,206,430,072,
606,496,617,649,393,933,877,449,588,618,729,129,761,883,059,464,301,952,682,
330,561,513,170,348,346,827,888,617,887,618,222,434,569,129,824,755,416,032,
038,494,478,821,873,059,329,261,361,737,204,972,657,749,109,480,771,129,342,
814,247,386,655,953,537,223,629,847,059,686,130,242,895,623,448,852,006,138,
122,336,182,651,218,573,954,327,239,508,316,533,026,287,504,100,077,276,680,
966,441,132,657,924,770,626,691,600,436,460,556,585,049,087,395,381,993,361,
637,110,255,948,996,041,775,391,193,144,703,363,872,936,920,897,122,099,286,
921,977,129,630,724,070,393,204,782,295,868,046,337,518,127,240,791,020,388,
060,251,251,717,357,048,446,589,353,845,211,139,491,074,117,296,005,979,315,
422,474,987,396,728,940,639,700,543,810,204,364,610,207,482,276,350,681,096,
073,754,166,347,606,433,302,191,113,259,996,823,786,658,001,426,916,457,769,
634,551,904,168,194,197,236,846,948,068,070,626,067,688,763,300,324,417,607,
610,840,712,576,781,758,521,368,946,727,157,994,046,705,991,942,383,440,616,
207,231,553,675,952,749,876,515,923,615,294,094,037,185,260,960,046,555,342,
357,660,653,219,414,156,980,898,188,621,519,675,627,065,891,608,215,821,313,
343,927,194,559,557,047,892,272,408,467,256,300,314,556,576,728,262,197,851,
914,755,826,667,295,468,762,659,394,616,279,122,479,894,959,937,354,301,616,
067,796,110,043,864,316,322,629,359,545,495,844,380,201,705,996,002,919,965,
541,739,329,566,473,065,161,474,321,862,460,963,281,333,190,928,375,412,475,
645,237,305,267,753,728,948,557,254,545,228,198,003,964,048,864,158,588,917,
067,239,695,653,804,572,176,710,304,639,634,273,973,202,702,443,641,679,844,
362,902,005,098,078,726,387,719,333,780,975,783,201,805,024,194,060,287,436,
006,648,175,697,062,041,906,019,935,808,009,481,887,808,540,736,223,281,278,
801,815,324,152,769,656,272,337,952,790,519,016,435,623,463,570,618,934,304,
096,444,935,104,901,301,058,248,150,832,080,649,144,806,963,361,946,180,785,
544,093,047,401,733,892,414,952,709,928,276,686,012,742,660,053,744,692,105,
527,304,270,025,817,344,490,385,881,011,003,884,820,987,361,591,550,187,240,
633,424,300,664,668,632,652,731,187,981,383,155,601,866,146,870,627,665,731,
523,809,042,178,041,867,464,227,756,614,530,648,449,877,274,328,524,894,623,
804,639,471,092,664,325,204,000,691,198,185,416,705,270,048,763,335,382,277,
190,147,160,923,794,857,141,913,172,190,932,361,797,234,814,124,967,099,483,
236,175,407,677,409,515,330,926,946,460,573,359,252,701,641,060,933,617,377,
920,615,271,235,376,414,673,720,735,549,890,425,354,197,176,372,750,379,026,
728,631,098,533,279,293,039,089,519,930,383,406,376,655,126,395,073,430,014,
336,880,558,800,851,154,828,903,867,521,605,974,144,419,694,842,859,231,647,
039,516,544,482,089,174,005,092,993,362,282,931,259,326,030,441,789,549,659,
551,565,727,996,979,614,221,276,774,128,091,793,924,657,759,524,844,973,267,
357,163,694,886,532,890,383,171,491,636,710,118,427,001,753,585,524,297,595,
605,179,111,564,103,103,211,186,093,925,572,744,574,671,173,366,741,182,360,
781,430,757,330,045,774,960,502,945,832,547,500,655,915,766,044,451,587,219,
249,010,144,893,635,782,783,554,111,342,540,604,346,975,308,764,050,085,201,
024,326,425,888,006,183,306,053,280,753,951,639,502,508,010,435,256,997,370,
286,691,744,309,131,617,040,333,665,737,189,952,662,128,314,585,041,727,022,
736,285,383,270,177,522,470,893,089,020,454,485,809,826,132,530,703,283,192,
004,118,026,724,744,497,057,024,148,512,267,020,410,440,781,423,763,591,601,
445,317,765,301,512,883,047,879,007,561,491,409,950,705,374,237,562,166,453,
200,985,691,582,914,105,772,038,103,326,118,117,774,799,244,556,524,034,228,
490,025,632,085,266,564,637,621,711,350,441,850,627,435,556,071,663,438,053,
953,239,085,303,682,595,968,716,111,875,750,319,986,646,191,310,783,809,271,
224,558,239,760,458,022,259,255,396,557,911,423,462,240,674,320,040,116,215,
853,370,597,669,431,273,116,223,295,940,734,986,585,773,037,631,620,755,694,
551,745,714,798,332,580,486,286,428,118,379,374,832,489,638,241,864,164,507,
509,308,879,455,649,660,134,474,999,619,152,704,140,986,521,198,608,993,215,
845,541,018,253,753,708,137,989,544,795,071,902,775,847,635,663,918,941,120,
841,346,123,313,446,094,341,341,510,535,405,290,831,593,204,022,322,153,085,
010,941,058,293,831,994,472,439,841,605,366,603,634,214,877,301,805,879,517,
577,039,412,067,803,809,793,535,042,469,557,161,175,575,783,898,862,598,395,
955,104,796,571,861,263,297,543,798,848,834,912,681,556,443,329,632,387,734,
104,729,881,814,085,542,518,772,677,797,299,176,395,416,085,355,863,237,682,
833,301,538,043,932,785,441,924,558,457,391,918,243,309,126,699,429,350,671,
474,301,597,498,806,234,845,874,364,254,767,240,025,224,605,879,973,261,362,
676,726,900,194,063,034,211,127,551,476,070,635,667,679,085,717,552,505,336,
607,892,352,385,864,904,511,747,514,673,757,444,121,532,847,237,893,088,126,
686,764,649,066,622,963,587,933,151,211,649,056,578,028,037,875,914,146,501,
235,187,448,902,462,298,277,918,177,649,920,059,151,183,527,417,091,451,383,
003,304,808,898,554,941,759,857,193,743,511,713,834,025,950,748,873,644,952,
097,198,874,293,369,040,393,221,998,323,793,581,706,728,758,023,199,749,375,
867,064,667,350,716,151,355,039,627,177,701,528,384,475,095,426,584,861,955,
579,585,796,293,241,348,110,519,311,114,920,940,118,818,477,805,005,908,825,
099,004,876,987,562,095,746,937,140,655,899,800,558,048,048,635,764,559,900,
448,395,672,117,907,737,959,105,976,365,266,841,930,073,741,444,999,748,557,
092,425,823,046,709,828,211,598,025,508,168,980,008,966,043,361,762,333,249,
149,588,727,345,590,901,183,428,889,306,635,274,709,725,377,464,172,789,820,
817,918,668,725,903,705,851,284,246,443,262,792,990,228,631,470,216,227,049,
049,252,645,111,532,385,871,394,301,009,720,468,834,524,878,459,026,818,775,
343,511,526,931,599,438,875,214,837,238,385,816,443,836,306,620,710,952,435,
063,169,806,648,379,306,267,188,047,096,762,748,554,106,312,353,360,063,982,
691,156,855,832,184,468,929,260,419,293,290,495,547,950,870,381,113,132,361,
459,222,997,229,825,052,414,746,292,295,821,826,326,624,850,838,348,195,467,
430,551,489,175,482,058,507,916,619,482,515,859,019,108,933,279,144,120,377,
115,327,609,566,570,180,474,000,657,440,094,493,123,347,583,114,872,857,630,
845,264,606,348,151,240,655,014,009,416,310,303,100,237,126,256,013,705,211,
761,428,619,179,048,799,582,784,703,292,404,914,597,031,078,644,553,997,732,
200,899,199,516,185,003,658,380,975,718,378,913,448,202,803,697,910,529,058,
209,453,311,229,762,627,451,378,903,139,209,880,176,916,792,996,897,592,396,
695,747,055,643,943,528,780,513,975,427,690,803,191,425,453,627,073,966,156,
255,931,859,942,158,826,269,467,571,216,147,221,400,304,604,286,762,308,623,
564,290,668,221,406,450,008,355,481,256,197,213,755,681,815,234,692,009,849,
708,560,809,572,506,301,613,668,584,933,758,593,704,792,733,145,954,571,381,
502,211,555,374,710,864,106,652,986,711,725,060,653,616,538,587,495,084,622,
084,874,879,220,856,050,051,534,993,614,983,344,272,657,290,733,144,524,338,
867,764,424,660,193,639,971,760,074,346,208,214,231,005,289,752,990,569,097,
042,922,008,993,516,090,636,479,807,176,456,823,491,788,066,756,526,482,457,
248,793,889,522,411,103,191,870,757,432,430,223,794,616,569,646,435,053,560,
344,664,222,329,714,654,477,828,395,600,869,469,858,756,490,769,067,412,019,
547,980,770,572,481,736,981,328,826,276,129,573,246,220,617,501,267,975,832,
280,759,151,699,243,053,078,742,882,763,653,740,743,515,979,411,952,942,308,
802,566,723,271,640,382,682,187,474,617,398,265,183,846,502,077,801,860,286,
888,216,530,822,580,110,785,046,357,377,652,503,985,353,534,707,629,546,001,
522,029,049,341,154,355,361,231,319,153,514,647,570,432,796,305,303,830,872,
808,769,609,665,716,643,779,128,273,217,417,715,786,129,736,978,655,984,557,
643,981,992,362,632,713,143,004,435,799,888,661,623,876,711,595,902,443,967,
392,962,413,769,720,825,602,204,485,984,286,555,394,559,294,012,968,422,723,
398,613,785,896,960,170,055,755,365,049,762,227,846,299,251,305,048,959,068,
729,570,032,958,562,035,327,687,056,970,729,969,431,113,501,899,757,782,021,
447,403,096,640,551,464,911,868,323,508,859,959,566,718,749,674,130,454,896,
519,257,763,448,775,389,802,511,967,235,140,768,888,991,190,755,946,872,626,
656,211,169,183,371,280,001,689,472,339,557,551,768,040,209,251,131,587,877,
453,717,125,097,005,213,831,798,919,486,473,565,340,232,164,515,688,933,210,
900,870,695,039,772,821,404,562,886,515,690,822,757,641,947,075,175,634,247,
058,252,832,665,597,414,896,524,259,758,265,681,542,242,660,856,290,940,627,
183,259,489,178,359,500,910,531,725,726,792,456,977,837,826,152,667,009,653,
067,078,190,780,422,164,581,340,374,039,961,627,938,027,086,991,303,887,251,
004,714,559,683,255,535,527,819,454,216,417,688,939,147,982,014,371,383,343,
413,264,187,814,698,982,122,394,575,723,011,842,638,983,456,835,835,102,886,
907,973,294,537,745,991,290,043,095,154,578,194,199,365,822,283,053,778,796,
834,404,119,646,261,335,799,801,094,296,994,763,054,257,208,010,238,578,149,
462,981,752,180,848,447,466,957,377,247,824,132,098,740,681,367,900,920,673,
791,422,093,462,078,135,641,342,132,583,715,349,330,223,035,282,776,823,965,
049,341,931,261,900,564,839,186,633,187,721,094,152,182,091,149,679,350,796,
137,767,697,350,444,054,357,193,897,024,768,991,684,817,553,198,905,822,423,
327,864,055,950,569,629,756,875,851,555,908,739,964,265,794,674,332,176,815,
607,147,150,142,217,603,301,309,985,435,327,064,701,553,829,778,000,901,093,
575,221,825,291,514,154,580,623,615,268,073,895,215,061,922,730,794,054,998,
097,180,290,355,888,826,930,047,857,677,700,712,315,691,260,283,999,589,161,
962,335,250,676,213,790,419,264,607,864,742,501,201,905,206,628,763,290,360,
949,360,811,000,864,201,549,802,740,958,961,753,883,212,733,255,696,979,104,
644,349,356,849,803,371,124,904,506,569,698,496,273,578,487,014,912,207,062,
410,553,522,160,582,405,262,223,938,992,604,017,551,032,245,059,340,573,793,
054,114,462,030,281,718,566,358,371,656,515,394,164,818,163,538,830,690,985,
246,410,469,664,837,000,474,156,585,683,730,145,137,427,106,362,549,739,846,
937,114,420,772,460,829,541,844,144,364,533,935,537,739,422,370,245,071,074,
725,085,704,151,908,436,757,160,763,633,054,510,803,079,944,350,832,211,972,
085,285,838,323,036,611,806,397,132,412,155,877,549,290,505,163,661,637,213,
145,392,677,610,257,410,064,694,018,565,228,457,548,450,544,006,186,908,864,
206,591,361,460,457,172,530,373,759,787,995,754,974,981,072,129,399,100,246,
249,970,083,213,371,773,751,373,932,568,438,621,287,134,283,438,639,883,695,
196,680,098,620,923,268,772,864,012,787,850,344,130,134,420,272,509,860,980,
452,208,005,230,151,365,182,475,003,236,114,293,930,947,620,242,354,384,438,
646,339,274,190,589,607,772,658,706,850,804,808,960,379,854,211,242,995,534,
099,793,587,073,196,069,750,231,287,449,264,393,859,622,246,302,496,579,735,
037,215,045,161,517,043,171,102,705,497,651,715,254,472,284,932,679,547,780,
742,733,727,694,563,330,310,657,953,312,340,775,674,690,018,911,375,674,892,
731,255,164,417,427,462,670,345,250,806,298,680,154,334,022,535,120,948,399,
359,478,683,746,303,016,167,147,620,850,616,691,010,144,780,350,831,181,752,
781,827,878,273,138,516,270,129,095,460,709,388,301,743,128,166,239,508,828,
576,802,974,151,242,990,485,573,266,764,743,823,405,108,548,935,385,527,364,
365,673,026,888,411,606,768,086,235,565,260,051,463,780,972,886,776,049,414,
742,130,120,823,582,482,494,510,464,604,964,227,392,325,923,874,244,204,027,
972,909,242,015,686,242,062,165,369,004,574,225,608,229,420,787,126,183,535,
967,801,015,987,467,117,166,960,258,013,992,447,188,380,756,114,268,953,754,
393,484,009,194,411,598,987,772,512,189,375,568,830,923,600,104,866,371,645,
805,846,266,450,227,276,399,000,208,518,425,579,118,268,255,730,239,934,795,
120,506,959,980,009,032,782,853,007,950,407,225,694,945,584,886,706,190,813,
172,572,693,571,614,352,073,336,276,825,484,057,214,918,093,299,469,348,214,
455,777,905,244,713,354,542,463,010,812,489,868,236,759,750,736,359,469,752,
251,947,945,935,230,847,136,085,119,780,025,676,367,017,476,456,071,944,556,
652,682,818,072,741,422,592,332,749,794,896,229,762,663,434,891,349,831,389,
321,160,575,835,993,045,488,287,450,308,345,517,296,896,110,038,200,362,470,
451,137,296,185,064,261,849,561,305,345,854,054,567,090,089,100,314,416,379,
193,118,737,956,937,941,820,955,556,762,138,257,556,071,503,823,857,958,801,
637,215,386,341,599,709,504,805,851,993,574,247,118,364,198,897,772,980,237,
376,036,642,979,835,368,871,544,194,796,375,910,627,479,083,498,593,588,208,
924,024,153,403,090,700,655,600,205,330,427,969,140,875,976,283,086,532,101,
039,203,022,015,364,383,269,132,387,619,096,763,568,628,567,787,330,346,344,
246,349,886,239,906,567,087,784,333,848,560,959,806,328,555,969,241,707,578,
188,014,969,654,249,114,434,101,656,538,586,051,782,000,610,820,226,394,363,
806,967,992,021,002,499,208,905,618,455,345,273,136,138,865,389,424,894,068,
182,071,455,788,778,840,823,505,632,791,856,010,610,299,571,261,026,654,814,
976,501,611,049,871,605,025,375,377,569,239,821,783,318,809,704,403,654,982,
251,316,766,145,284,448,526,978,478,611,616,861,318,440,272,887,601,171,489,
313,905,529,100,092,807,491,270,040,849,938,845,938,786,396,752,611,424,549,
814,391,865,275,276,810,451,153,175,959,767,377,590,099,159,635,738,827,326,
234,659,991,233,399,492,187,879,159,535,651,990,273,099,236,421,304,510,397,
219,877,501,679,518,518,100,231,642,051,509,889,213,412,180,571,794,536,374,
621,080,450,019,214,248,991,352,750,774,396,948,066,990,997,671,651,219,338,
666,288,598,859,295,440,709,236,486,395,846,049,799,851,002,330,859,584,970,
526,951,752,072,171,121,558,018,914,107,659,055,875,842,184,241,363,621,580,
399,554,850,208,032,993,490,009,949,481,336,520,206,356,304,707,762,252,341,
610,408,694,376,564,519,279,387,157,992,031,248,719,665,307,728,370,037,803,
992,334,958,597,207,100,069,290,771,103,068,695,809,451,089,827,778,843,562,
805,491,283,474,011,696,513,949,576,413,285,358,423,526,416,497,640,479,279,
269,730,892,559,877,099,872,837,981,634,558,580,150,613,262,386,394,335,688,
998,643,590,292,271,176,710,596,125,477,977,055,115,460,987,968,474,590,860,
596,068,809,698,140,052,730,271,023,108,108,412,379,269,031,903,969,092,279,
539,993,558,703,628,773,274,136,586,384,537,024,896,897,561,651,402,284,319,
682,624,895,284,015,542,024,626,740,841,241,414,654,769,526,424,038,023,640,
438,706,467,694,986,924,288,036,872,993,386,083,151,511,775,665,058,218,101,
920,523,948,326,716,276,409,282,971,975,505,223,488,254,149,912,701,900,209,
862,081,202,998,830,865,584,694,750,422,527,765,381,054,660,812,858,667,279,
350,704,842,123,577,227,091,198,193,084,833,061,256,965,282,953,731,473,398,
472,567,771,775,428,245,452,902,954,618,143,034,994,583,113,165,833,559,557,
598,932,677,014,269,305,242,722,905,253,330,917,278,709,353,441,212,411,066,
339,158,269,441,686,799,382,570,360,284,840,256,028,176,366,461,844,691,773,
271,993,282,060,787,589,097,536,549,552,337,352,178,758,280,002,442,644,782,
030,742,969,534,601,780,853,035,665,875,820,203,807,175,839,146,653,235,405,
329,019,351,647,053,358,872,671,878,606,825,601,698,906,954,840,517,161,330,
109,441,284,567,744,620,282,804,671,144,866,363,042,074,109,087,052,387,064,
981,346,625,815,098,367,868,655,703,909,033,420,010,530,408,392,793,558,923,
412,772,885,759,297,501,307,422,018,061,110,522,900,855,330,472,270,486,172,
000,131,854,923,118,988,632,837,423,135,190,887,714,595,836,683,842,485,438,
524,098,925,256,767,726,202,655,653,204,423,452,573,727,704,542,549,745,175,
139,117,974,530,306,492,834,478,566,085,187,221,188,232,061,389,875,146,613,
963,880,744,600,853,859,774,423,455,144,093,269,149,764,229,506,609,888,080,
342,045,466,570,420,056,817,239,884,296,879,403,139,592,391,533,664,993,270,
513,162,163,922,986,049,278,362,285,286,978,015,028,497,516,234,883,082,939,
983,729,211,326,247,140,796,021,632,415,040,666,701,436,888,373,760,628,120,
274,759,225,592,400,816,106,572,274,858,095,463,070,000,794,275,347,378,774,
419,509,374,556,640,622,606,841,003,138,414,130,361,896,332,479,585,612,249,
067,594,174,944,550,735,162,948,459,946,696,148,073,466,439,245,515,737,241,
722,714,830,718,654,817,121,052,574,859,910,037,072,909,504,807,702,934,361,
529,427,184,827,532,332,931,852,734,201,790,647,382,226,087,401,319,896,195,
089,339,298,202,337,178,339,017,902,356,590,901,118,940,074,519,768,791,378,
630,291,064,803,240,268,863,467,648,958,807,243,253,382,769,232,991,629,878,
114,591,125,023,047,345,030,973,818,691,119,231,356,955,491,761,337,665,270,
124,659,065,542,240,219,225,909,810,591,820,970,962,442,147,661,451,669,702,
820,699,941,733,119,980,558,916,593,315,929,835,040,700,360,306,069,235,096,
828,510,570,780,041,569,628,804,204,392,161,007,024,499,904,194,913,837,700,
386,369,737,367,642,697,675,802,641,240,943,372,482,197,755,446,332,635,293,
701,559,967,496,438,320,474,539,244,146,296,392,964,800,938,824,697,831,596,
873,919,829,072,879,427,527,865,639,074,923,231,775,510,840,860,256,597,153,
659,121,271,071,194,755,668,338,016,399,860,792,854,642,150,823,472,112,017,
479,336,500,100,712,431,345,311,423,366,011,407,906,206,764,678,987,024,667,
036,739,612,022,244,285,938,763,780,767,852,972,555,138,157,320,445,611,330,
725,645,603,389,566,521,345,202,730,909,015,186,415,687,899,473,088,318,318,
602,067,551,560,771,571,204,397,251,906,981,331,754,863,998,962,838,973,503,
261,024,981,747,350,313,672,305,565,780,779,537,477,889,400,288,465,196,762,
999,037,706,127,262,904,206,765,155,299,584,169,994,842,252,745,671,179,169,
778,562,644,948,394,832,375,513,166,358,902,586,601,662,207,400,930,784,088,
561,044,418,513,009,320,724,309,091,910,147,505,964,004,679,430,451,695,803,
395,604,767,560,057,706,623,094,898,940,596,026,639,538,875,216,853,993,813,
009,643,236,537,949,803,839,841,450,060,356,380,274,915,029,139,977,887,855,
654,984,642,435,051,401,496,320,110,273,209,536,145,991,973,880,263,751,190,
065,954,626,857,890,212,988,467,720,232,509,807,740,008,132,201,992,199,657,
386,931,120,531,151,928,569,761,095,456,685,264,639,818,657,092,357,818,772,
071,748,953,485,352,599,039,079,501,959,899,589,444,059,927,934,673,743,290,
399,536,508,002,403,926,649,579,653,282,703,751,349,450,447,175,321,403,776,
393,653,428,498,252,923,788,309,630,503,113,128,984,458,932,455,560,010,633,
922,595,005,734,162,366,929,589,855,060,323,764,569,304,706,676,904,148,475,
176,827,789,675,310,520,539,319,621,250,925,370,949,864,825,064,219,943,787,
040,529,924,550,529,602,234,814,032,724,355,963,303,263,515,131,085,145,674,
122,638,025,778,452,298,966,708,856,628,922,222,008,118,968,903,282,463,445,
968,355,246,830,932,204,622,624,333,958,853,716,117,650,878,530,167,624,172,
348,507,901,421,834,086,909,698,050,836,495,684,454,163,936,585,581,521,884,
995,334,262,175,296,372,217,739,255,816,993,642,579,101,908,950,541,238,474,
005,931,942,161,778,637,821,107,542,720,377,867,438,136,226,465,139,930,513,
730,278,781,848,944,552,684,511,833,279,276,218,676,046,859,738,329,917,697,
892,215,100,431,503,248,847,782,162,113,459,344,280,520,844,241,494,617,560,
950,710,602,369,550,896,905,200,150,078,322,608,748,567,446,021,232,972,446,
150,901,804,244,331,672,204,347,951,605,598,283,009,767,369,888,963,293,357,
808,159,000,035,469,234,457,456,098,830,262,878,530,580,009,376,634,129,175,
528,383,462,590,528,121,288,542,905,048,062,543,224,419,495,503,026,356,720,
231,015,734,521,399,995,113,156,291,933,116,515,966,208,886,587,966,066,421,
567,362,426,991,168,958,120,128,388,417,444,643,997,190,364,257,335,969,158,
671,829,838,805,461,953,391,814,126,363,577,909,915,599,490,600,494,344,798,
782,452,837,186,275,238,595,807,060,714,727,096,625,004,758,400,936,840,245,
807,575,144,410,174,202,447,862,936,559,587,713,214,557,228,136,528,499,778,
507,446,307,152,147,013,749,815,077,985,234,498,701,563,452,146,356,432,975,
711,440,152,865,663,235,716,696,104,411,952,476,404,039,631,145,929,897,078,
348,555,914,575,301,966,228,770,849,173,829,428,689,979,767,094,696,184,347,
481,917,688,092,267,203,804,761,099,713,621,627,257,948,306,350,695,603,591,
995,698,783,003,999,750,672,287,431,651,116,027,225,162,880,310,302,839,399,
368,309,399,060,226,242,709,793,067,789,634,673,196,978,705,036,198,945,079,
539,638,358,034,471,144,889,321,777,135,967,169,406,202,978,305,113,297,189,
495,114,428,443,790,870,321,104,407,763,781,553,864,843,483,632,073,862,566,
117,049,612,436,395,960,885,005,921,933,013,826,589,762,535,145,450,043,123,
040,477,025,188,535,199,002,189,459,459,255,123,986,943,607,205,598,994,773,
657,669,204,172,308,804,583,783,714,955,006,740,931,609,487,178,076,959,649,
057,371,988,252,528,172,923,966,925,916,402,466,327,111,849,395,312,078,589,
360,714,799,914,141,385,077,734,756,764,847,170,515,483,576,562,793,888,396,
694,282,572,759,471,423,773,201,963,772,435,162,408,200,623,300,769,910,888,
943,878,445,191,739,171,221,856,273,874,901,129,041,397,778,658,461,147,510,
853,464,520,824,940,302,085,829,618,952,875,313,245,763,431,652,857,208,732,
659,074,000,733,564,217,751,219,968,481,434,784,470,228,253,420,730,586,239,
389,381,989,516,335,024,489,077,562,808,107,941,708,234,498,423,446,289,446,
775,729,209,876,459,163,312,714,898,704,035,888,112,245,046,745,647,606,573,
067,909,547,409,515,439,540,300,360,181,775,899,634,708,675,329,695,980,788,
889,446,163,296,317,893,259,693,395,665,804,820,124,352,962,204,439,508,489,
799,025,392,034,713,557,994,563,880,520,725,718,766,750,859,742,794,774,664,
968,768,402,305,940,964,020,819,385,190,253,917,119,324,321,098,335,874,464,
451,764,972,739,855,944,166,744,332,259,679,023,401,695,560,581,370,180,194,
864,747,002,140,581,388,821,479,845,002,119,999,139,827,354,110,041,180,365,
166,546,558,217,747,345,031,842,085,663,608,704,219,630,777,167,393,578,233,
596,999,698,594,672,057,675,881,071,276,374,595,730,586,022,239,744,094,264,
893,140,471,452,030,771,195,731,542,217,082,904,616,170,684,400,650,306,976,
285,798,637,411,812,924,966,082,136,933,060,196,223,474,896,971,014,702,056,
413,941,652,036,671,740,441,297,663,749,757,440,219,327,068,999,547,077,996,
507,338,359,182,097,115,254,166,365,215,227,124,915,336,241,179,121,135,713,
671,776,725,588,139,108,007,926,984,922,882,889,326,365,808,473,413,148,718,
240,167,163,511,629,469,456,900,022,225,938,634,943,408,006,788,988,105,937,
784,112,531,456,338,758,270,506,083,549,530,036,801,536,405,066,644,536,997,
950,332,539,734,065,750,188,691,523,715,301,549,906,774,740,493,431,079,940,
729,356,471,228,426,119,349,875,697,269,691,384,446,003,445,841,562,750,917,
391,636,387,636,793,067,981,153,466,606,287,859,077,961,794,218,584,473,125,
085,033,671,067,059,062,145,083,767,643,349,908,043,178,888,476,345,013,291,
665,718,314,849,760,830,755,374,512,231,692,185,637,108,723,489,431,860,262,
486,394,617,073,520,012,327,365,044,431,949,871,950,296,673,359,431,773,884,
255,070,208,563,915,990,145,314,617,243,483,410,329,053,032,153,359,396,783,
189,906,285,161,366,929,494,984,804,096,462,340,372,162,166,994,121,522,651,
455,964,716,911,752,869,647,111,384,824,985,517,820,004,297,516,783,405,429,
012,869,704,059,090,880,714,306,234,580,683,975,302,661,600,464,576,870,536,
726,219,313,851,676,938,723,278,168,915,369,435,805,236,311,574,362,176,899,
289,295,385,500,832,434,797,087,687,846,559,894,629,636,503,596,382,533,077,
559,655,843,705,894,224,023,736,961,668,544,861,008,748,641,763,580,543,917,
552,629,426,593,184,975,361,129,142,226,887,650,843,530,276,110,144,524,291,
341,500,497,010,286,288,506,678,133,295,814,168,703,314,050,111,450,314,166,
164,265,951,101,265,988,598,361,614,774,321,351,121,846,400,970,363,986,458,
083,740,485,724,033,124,701,800,007,098,339,540,262,915,674,170,204,383,862,
058,583,386,131,208,703,534,947,418,171,068,818,050,841,454,483,279,286,236,
129,475,542,651,449,822,998,338,919,472,603,035,172,114,958,656,733,478,335,
167,455,175,301,689,281,297,544,504,204,605,417,137,359,634,262,753,513,971,
690,415,816,454,104,541,731,746,610,558,859,248,696,870,262,007,244,269,894,
541,555,585,630,156,592,409,879,812,547,183,699,555,175,974,438,431,710,163,
516,268,975,012,896,697,345,351,586,972,917,734,368,972,872,324,087,926,148,
081,567,834,283,576,040,113,897,130,701,391,644,543,225,997,381,432,287,355,
438,679,009,281,800,061,997,852,476,439,590,281,823,721,083,535,390,420,306,
221,395,852,975,538,106,674,269,531,167,315,865,544,959,671,657,121,223,452,
112,668,513,436,234,779,983,489,553,566,779,584,055,407,854,555,156,330,215,
016,707,585,903,938,219,991,306,207,211,789,446,946,340,159,168,902,592,382,
808,879,404,396,899,431,835,019,223,367,444,829,746,004,585,493,894,157,944,
680,966,473,256,106,031,472,066,176,949,824,875,129,050,684,222,410,355,126,
021,983,815,798,443,411,689,343,879,108,233,608,119,837,306,688,138,830,715,
589,213,606,458,215,275,221,194,635,830,475,108,016,930,990,565,396,345,302,
018,174,786,051,952,682,322,721,739,656,378,222,917,441,799,540,915,542,381,
584,529,459,887,381,350,172,319,352,547,096,950,824,038,403,040,628,148,873,
965,079,995,312,312,757,920,536,470,639,377,671,813,316,527,598,047,776,690,
831,159,621,481,822,322,268,823,990,433,979,158,821,474,423,885,349,174,615,
161,187,838,904,347,831,018,074,719,239,300,739,404,039,311,001,534,378,169,
107,960,810,744,315,147,683,132,542,418,990,427,024,908,710,841,237,643,249,
790,509,119,606,512,594,951,255,682,266,425,597,376,829,430,290,023,603,996,
062,643,881,191,787,846,294,318,166,568,326,873,492,847,893,097,825,725,843,
189,004,719,847,794,726,078,385,989,268,485,692,129,666,091,945,661,681,243,
947,567,843,857,560,113,004,382,824,851,768,974,142,572,655,550,750,426,023,
270,422,735,269,605,992,153,344,730,183,447,036,274,218,630,422,693,949,489,
795,547,240,796,019,738,253,390,629,094,938,824,836,624,910,937,368,656,556,
900,697,300,445,920,747,229,306,547,306,928,120,241,321,977,512,704,357,621,
860,789,621,421,990,451,230,609,622,072,061,361,095,678,677,547,170,526,234,
652,547,998,191,763,251,724,772,984,261,994,157,165,713,760,602,301,416,256,
477,421,400,958,508,998,407,863,757,034,113,071,008,192,753,587,013,192,100,
798,561,316,434,376,562,017,558,875,222,707,971,212,597,958,922,988,584,952,
239,021,951,912,148,077,349,786,672,503,045,792,644,798,535,837,782,124,643,
799,515,040,206,224,862,588,548,481,596,990,021,133,739,213,087,979,344,166,
765,074,486,799,352,663,158,126,440,859,340,142,711,696,529,960,120,530,633,
785,581,364,777,903,374,143,755,042,138,759,802,106,490,492,318,557,238,600,
659,358,676,338,728,648,634,360,761,762,828,708,732,273,059,057,568,701,174,
497,789,834,654,985,401,683,075,688,818,998,871,910,130,920,359,675,481,715,
693,879,958,103,153,437,869,498,701,173,190,814,907,508,839,703,319,655,506,
877,643,581,529,480,414,968,822,647,636,664,571,311,736,164,786,782,072,933,
254,564,954,162,318,641,340,237,884,874,867,502,570,496,403,972,448,792,389,
938,259,065,054,516,137,789,737,763,100,108,833,259,440,981,814,541,310,875,
784,022,233,394,674,086,135,917,154,549,639,589,705,217,331,549,873,497,044,
706,034,185,550,614,087,032,199,640,861,819,418,447,971,688,939,632,393,315,
070,363,375,240,800,535,496,187,825,011,266,766,843,470,981,375,228,556,115,
749,647,227,158,115,450,485,625,100,284,196,283,288,432,104,022,704,342,645,
292,050,617,633,072,354,836,081,935,720,880,080,412,559,079,786,352,151,837,
528,291,201,195,065,744,693,196,962,886,695,756,829,441,444,628,951,737,167,
688,069,323,021,068,847,478,559,382,897,006,966,509,291,813,651,824,282,358,
497,797,084,483,891,364,122,729,548,916,743,008,771,924,469,992,115,690,065,
134,845,518,238,335,454,267,537,724,060,585,950,054,155,664,040,625,388,497,
745,100,300,042,834,349,594,992,519,907,632,966,324,044,569,662,649,973,097,
813,143,859,852,473,841,010,824,341,889,387,313,446,710,441,978,427,227,213,
939,839,371,348,362,508,056,395,661,199,289,599,317,794,432,697,945,646,329,
036,846,076,054,862,834,445,697,100,267,766,467,773,676,628,839,524,961,434,
231,072,868,242,949,828,134,220,754,101,637,864,413,225,659,067,372,950,619,
157,403,172,136,495,189,713,644,480,465,728,953,413,290,872,841,415,547,155,
238,602,273,392,775,677,235,932,953,599,632,270,976,766,110,080,342,298,496,
176,951,247,226,967,944,244,757,998,850,097,806,035,429,111,706,517,135,990,
161,818,617,616,818,218,856,941,597,232,234,585,945,412,210,079,524,999,238,
406,981,828,666,033,624,603,678,909,703,044,857,538,506,948,951,817,020,827,
535,167,172,712,768,490,820,462,538,011,349,450,218,332,064,241,707,321,811,
156,419,169,562,536,320,135,087,211,243,156,460,785,197,706,381,953,656,440,
774,056,802,919,750,997,112,124,867,911,281,457,998,050,433,761,971,728,258,
987,880,849,495,977,363,415,714,757,840,233,519,936,842,279,159,656,981,140,
270,761,010,739,641,538,667,702,609,094,438,214,331,681,362,691,367,186,305,
951,619,380,064,013,176,929,336,424,634,050,979,530,477,202,022,947,477,118,
031,385,719,974,447,527,576,271,639,411,937,706,748,560,637,079,848,759,537,
516,319,200,486,129,728,064,434,642,669,966,483,448,169,564,003,197,353,609,
356,864,934,145,050,720,549,926,977,933,716,460,008,135,920,444,578,101,222,
648,064,773,475,531,367,696,416,734,360,265,293,180,128,011,377,931,544,157,
505,772,738,888,672,295,969,683,152,045,859,532,427,973,464,857,680,854,960,
129,964,258,667,926,403,306,439,358,113,240,653,204,076,184,819,438,072,980,
928,698,840,539,388,785,703,844,094,726,525,008,718,527,817,479,672,828,621,
263,817,981,287,646,732,465,351,569,687,683,813,094,240,263,002,879,039,408,
966,241,094,634,925,803,051,690,706,805,578,087,094,131,693,457,005,895,538,
527,956,672,292,432,875,717,838,503,015,591,331,519,143,891,309,417,173,956,
134,617,347,714,627,448,168,808,895,374,893,481,310,768,435,966,718,605,338,
351,318,718,317,701,704,889,466,917,207,066,719,393,993,843,126,449,387,589,
537,724,643,051,280,550,340,686,469,390,480,368,846,084,101,570,371,430,103,
768,045,661,399,999,163,776,281,894,358,074,967,909,849,109,604,427,133,859,
186,840,323,733,494,081,051,875,376,674,233,070,210,822,654,543,201,517,437,
872,905,001,848,120,101,462,849,842,587,925,010,863,594,120,402,228,892,515,
741,716,682,176,637,356,034,252,226,631,302,675,162,456,985,451,771,014,864,
750,794,958,956,422,806,660,316,326,106,256,148,371,490,270,524,644,285,997,
707,737,093,867,787,850,342,480,343,709,029,805,614,287,373,931,705,348,475,
178,490,238,738,775,232,000,260,580,897,421,102,968,619,719,446,967,361,611,
965,481,351,846,729,239,632,059,991,002,381,537,014,963,131,420,497,400,940,
759,671,796,478,401,032,547,343,855,337,952,685,813,725,464,560,704,704,337,
147,362,242,930,783,904,978,339,834,063,819,083,028,823,456,832,754,498,903,
715,133,715,940,976,166,614,144,198,162,295,747,704,678,687,995,557,353,880,
020,319,309,175,281,364,852,625,871,183,233,109,281,300,402,245,622,154,237,
247,373,343,984,059,081,579,136,414,803,734,170,389,810,642,658,525,981,318,
561,796,953,911,022,135,483,077,984,634,669,249,786,437,622,860,918,626,935,
247,882,475,181,267,481,400,227,372,971,834,840,966,640,226,292,418,360,021,
328,094,616,529,300,152,266,643,268,371,948,828,685,101,481,587,487,618,496,
612,456,068,030,655,330,663,138,189,031,196,701,204,195,537,116,508,385,765,
967,824,175,742,800,998,618,306,436,279,159,618,102,012,905,865,204,111,567,
587,954,023,862,932,732,792,920,993,100,728,903,337,016,269,982,667,736,562,
118,923,705,339,476,721,344,377,608,937,583,311,633,456,211,447,831,124,684,
074,119,976,537,015,068,773,683,513,968,001,771,673,448,370,262,361,751,973,
431,174,999,718,927,424,977,933,708,638,387,376,507,148,307,417,825,485,470,
825,737,125,800,547,536,872,440,194,943,259,960,590,447,249,405,885,881,106,
690,251,044,069,937,645,847,490,548,408,831,190,691,981,393,982,987,999,905,
619,651,793,647,404,466,420,586,692,863,394,857,170,378,994,881,573,546,990,
321,598,694,021,218,855,380,286,151,109,319,818,892,863,390,795,035,811,721,
549,792,669,156,831,219,824,498,790,073,976,228,491,905,699,660,773,127,019,
994,288,590,339,500,431,135,732,684,362,560,040,321,425,423,220,020,463,220,
935,312,086,167,425,526,757,993,187,819,784,656,511,509,154,721,829,715,356,
795,358,902,227,628,006,334,588,848,719,829,827,701,925,876,043,321,213,337,
856,404,498,511,358,261,003,046,225,898,330,168,619,664,967,966,694,254,998,
668,813,657,341,871,628,448,071,740,482,717,021,924,388,364,943,363,966,486,
421,568,311,167,564,610,822,286,919,112,256,477,080,893,208,229,764,458,148,
362,125,657,573,576,965,175,394,275,697,593,449,803,982,788,170,456,942,382,
979,097,297,135,543,237,006,060,803,269,385,559,846,120,524,285,694,404,324,
774,967,533,834,584,396,324,885,805,305,833,501,323,447,317,870,813,320,445,
762,380,427,627,766,994,796,865,898,120,100,690,966,286,497,626,284,914,764,
470,189,005,624,716,771,366,616,782,254,535,383,547,031,910,471,338,919,482,
292,203,524,844,565,414,076,983,780,082,578,184,597,500,688,237,717,808,408,
847,907,883,425,330,735,490,838,330,094,138,697,481,604,319,127,452,660,367,
823,107,719,801,103,145,872,067,053,974,376,816,611,179,607,624,457,577,966,
516,980,494,993,678,847,013,804,220,260,818,076,053,681,091,570,187,776,882,
149,015,853,226,881,661,400,495,750,516,593,710,642,439,948,454,914,561,300,
164,325,703,546,325,056,541,042,945,119,574,474,361,210,640,787,309,860,321,
429,852,318,607,021,082,629,310,724,579,115,944,954,601,866,346,218,967,786,
155,451,520,170,104,720,379,712,363,108,951,411,548,192,758,262,827,180,074,
479,942,662,012,345,439,453,967,965,133,758,537,395,433,247,648,423,738,004,
569,078,263,579,094,373,382,486,438,912,715,489,043,999,432,429,364,981,977,
002,353,776,777,302,008,877,502,079,252,168,199,922,021,560,937,995,467,208,
160,859,600,943,007,216,823,140,075,319,605,504,635,125,572,658,662,243,882,
888,571,427,097,560,540,203,174,364,868,141,323,535,647,804,708,732,606,743,
067,452,889,450,876,466,809,685,847,297,345,143,076,093,740,187,281,272,745,
733,575,596,521,422,695,406,390,010,275,949,445,758,430,143,537,562,052,462,
459,977,762,823,138,204,498,257,849,719,441,805,561,351,431,348,800,794,680,
414,900,112,751,497,956,822,150,111,876,705,744,780,378,846,815,265,480,560,
239,180,062,229,942,642,308,382,845,889,555,711,892,026,794,987,791,385,181,
611,650,401,759,425,876,650,542,985,891,097,170,821,753,422,953,536,392,720,
409,803,838,631,989,105,393,124,642,923,340,011,038,125,141,934,408,003,035,
167,794,207,102,193,815,407,993,194,911,330,951,129,142,929,862,031,940,307,
535,205,511,578,438,906,297,287,166,069,206,615,457,552,471,912,000,501,971,
341,219,358,120,605,099,099,021,046,432,304,967,023,269,561,340,547,524,860,
144,304,893,588,878,170,055,612,137,395,830,019,878,623,984,580,886,648,148,
523,523,350,471,408,710,752,014,489,667,365,371,934,566,947,466,906,916,246,
084,386,869,691,706,220,536,854,914,691,024,972,884,019,805,132,848,555,884,
347,844,661,821,530,750,757,049,503,610,174,010,717,560,260,533,664,186,175,
847,675,618,109,943,147,684,333,475,377,668,696,979,196,217,131,087,785,812,
167,986,948,625,237,035,707,571,003,855,042,833,610,208,078,432,231,518,240,
968,684,646,026,481,816,107,419,549,962,152,396,725,619,146,001,541,059,150,
516,772,498,465,924,795,105,380,914,325,296,943,172,928,307,923,773,732,068,
164,806,020,895,711,530,358,734,428,338,296,942,319,299,900,156,968,740,262,
636,136,572,712,812,098,910,238,288,193,082,778,557,509,951,159,326,772,546,
896,250,226,137,139,802,534,042,978,260,620,191,995,879,573,716,849,307,676,
362,677,758,839,310,732,060,403,860,306,812,021,168,616,169,531,004,302,228,
079,615,447,538,977,569,427,646,262,494,906,101,004,010,843,705,580,007,771,
779,069,969,783,942,909,784,807,038,306,961,826,260,795,198,969,978,290,732,
256,814,819,408,947,791,970,567,997,396,704,244,055,845,177,205,026,567,132,
845,833,596,165,983,788,342,578,109,678,151,925,469,383,453,141,459,321,111,
528,547,528,219,158,902,554,195,146,982,521,456,874,714,163,094,479,128,791,
004,004,297,970,126,587,025,074,056,790,548,952,993,905,562,422,212,108,380,
911,725,693,215,514,842,623,033,121,086,691,292,728,121,633,818,099,204,874,
681,830,201,037,625,914,552,176,596,551,134,437,222,677,795,652,777,852,228,
598,766,956,132,127,233,841,064,659,111,387,222,882,955,841,601,210,607,575,
311,642,439,849,887,832,554,750,371,522,191,783,795,884,290,417,719,651,642,
159,780,860,163,999,133,416,759,127,269,827,028,386,351,961,600,168,510,039,
174,550,049,391,078,176,869,711,495,307,772,122,131,978,428,358,415,451,672,
292,631,667,288,815,814,080,928,894,153,425,863,044,556,078,441,609,288,122,
848,885,477,464,165,025,826,824,333,285,197,423,723,846,758,150,388,129,384,
759,772,930,251,549,409,827,756,501,143,640,231,408,357,996,891,249,041,548,
534,963,677,297,754,690,483,900,457,986,776,913,181,238,293,031,376,043,449,
054,750,779,926,385,769,211,375,897,475,640,061,262,083,826,729,273,055,201,
264,991,848,371,649,951,287,045,295,658,605,524,674,989,984,569,582,709,409,
901,436,245,060,046,880,389,585,563,043,548,717,553,402,258,878,400,303,061,
783,306,975,784,916,625,580,146,427,857,473,219,885,310,152,927,283,308,434,
409,753,688,249,036,128,948,253,468,569,416,493,732,463,945,223,527,080,378,
175,630,802,474,867,835,298,575,892,508,472,642,195,456,117,109,261,942,885,
086,065,361,317,229,340,132,960,792,872,886,133,871,858,164,995,878,068,311,
290,362,807,221,014,398,598,059,350,677,538,288,583,020,384,907,132,666,620,
564,090,044,073,070,531,859,513,194,194,802,855,751,284,295,522,089,693,955,
651,449,979,214,240,466,247,648,831,931,957,638,265,917,595,782,567,688,280,
379,347,763,729,698,135,118,530,566,113,228,168,748,466,520,499,070,028,975,
098,079,595,848,858,594,707,693,045,697,161,776,448,390,353,630,710,280,538,
650,474,975,474,484,897,789,822,372,646,690,218,611,991,101,672,764,322,600,
762,040,389,189,798,634,058,500,590,792,898,275,817,967,696,472,606,008,901,
592,816,589,109,782,144,475,337,876,248,917,935,014,525,380,739,541,913,410,
416,937,959,086,626,048,673,684,863,642,159,710,770,940,971,161,667,060,411,
873,299,475,818,392,663,323,499,750,846,222,804,555,614,871,677,150,829,247,
652,112,569,736,757,563,253,610,483,690,514,167,727,908,335,092,667,455,630,
432,306,281,725,789,143,465,513,952,831,679,826,278,286,328,077,650,410,403,
828,752,179,434,032,831,586,563,675,919,091,118,727,404,165,182,836,757,647,
429,540,888,581,214,510,720,675,952,532,643,478,780,510,833,158,269,997,515,
445,522,810,904,629,913,946,384,069,466,815,191,872,569,317,199,278,339,000,
326,541,576,223,238,982,254,741,264,880,983,888,045,302,744,057,554,933,558,
107,831,289,431,283,329,063,773,246,436,776,929,163,568,063,110,503,437,395,
789,848,660,138,956,794,488,932,761,453,038,831,373,121,270,727,582,218,647,
035,017,330,479,696,068,650,746,349,900,957,368,023,685,009,453,827,830,261,
309,792,657,506,519,501,810,823,197,021,156,071,379,096,942,980,815,796,554,
186,141,377,508,417,313,262,870,900,510,439,541,502,788,866,283,202,288,581,
993,287,064,622,103,363,567,775,111,773,899,569,561,925,983,967,060,967,213,
970,015,613,430,193,186,685,925,750,834,597,725,125,394,977,793,354,614,776,
702,083,632,863,153,714,785,811,445,177,984,978,963,431,530,764,400,583,707,
171,836,200,733,248,420,482,863,230,457,079,737,409,063,165,531,560,454,634,
850,775,174,387,905,260,310,338,873,201,327,719,639,157,581,249,332,216,055,
627,738,507,853,656,203,284,017,294,799,423,812,989,264,906,522,745,565,328,
726,010,894,691,880,898,563,787,960,287,144,944,128,338,690,798,581,532,931,
696,270,493,386,797,353,996,071,459,624,726,153,860,668,163,332,935,936,659,
684,115,768,487,789,880,790,946,006,101,571,470,911,691,081,479,183,887,935,
951,186,417,512,894,203,515,430,312,274,510,881,692,115,903,471,983,221,807,
124,621,176,142,848,387,133,764,490,467,240,168,485,071,613,341,806,373,232,
896,905,354,425,252,623,568,430,648,771,173,500,720,077,090,807,371,432,790,
113,057,053,425,596,539,675,476,451,637,721,448,218,670,419,414,825,655,131,
675,159,897,271,413,492,042,095,069,367,514,935,676,960,061,426,056,687,114,
113,752,989,045,632,018,583,039,492,855,142,326,174,284,284,388,894,072,351,
964,213,232,418,546,069,915,687,866,297,790,705,891,436,138,084,056,332,175,
289,259,437,835,052,152,168,498,243,317,977,181,230,751,917,359,398,336,551,
479,450,416,486,945,356,876,675,733,855,643,119,586,911,388,605,419,291,190,
320,271,866,297,269,158,444,025,668,379,529,467,723,006,794,477,437,629,429,
662,811,833,929,861,107,563,608,992,089,383,381,395,590,326,543,187,944,288,
969,271,852,763,277,252,266,720,255,360,757,912,416,658,057,475,738,234,166,
114,277,795,632,990,203,984,181,734,003,682,176,500,393,394,598,618,395,277,
125,606,696,240,722,572,145,560,617,222,712,458,248,553,189,480,991,308,482,
304,833,471,092,052,240,890,222,257,054,525,043,783,371,137,349,653,407,404,
958,938,515,834,152,749,960,742,003,796,822,014,242,041,408,647,653,598,495,
111,311,986,359,214,572,933,556,946,527,943,656,633,083,631,243,286,039,255,
252,282,482,050,694,532,855,920,397,659,931,818,197,689,124,907,196,443,460,
593,133,586,856,596,212,557,653,904,692,107,551,120,912,156,635,543,743,601,
726,806,535,451,713,088,793,641,602,500,478,631,662,095,060,730,876,069,067,
596,415,700,933,549,708,838,210,936,432,541,535,972,255,103,634,036,737,222,
116,210,552,931,355,528,945,741,950,597,547,282,841,872,499,770,000,551,551,
335,503,712,468,973,434,503,171,547,428,290,830,050,697,420,833,166,067,889,
360,272,724,916,165,345,857,290,330,179,711,678,089,172,888,055,620,377,948,
155,330,589,847,251,624,432,360,169,011,864,764,350,790,928,443,534,869,291,
934,294,155,139,101,876,732,313,665,220,988,295,698,784,915,909,752,913,540,
892,160,380,487,406,332,214,882,097,541,240,348,062,135,807,433,649,348,743,
630,447,037,454,032,634,654,368,556,449,927,044,228,010,631,220,410,741,183,
688,614,912,538,603,886,471,729,409,278,458,539,516,379,303,415,006,038,799,
699,282,754,927,204,499,961,372,038,861,730,967,820,107,167,150,282,803,863,
694,122,274,986,703,193,494,980,065,329,480,989,887,273,600,928,074,003,456,
212,797,463,580,964,258,784,171,815,484,684,968,146,161,959,154,378,387,699,
040,752,974,353,236,216,794,642,582,708,224,602,076,599,600,344,497,670,246,
460,911,825,321,497,795,782,954,457,215,019,398,514,840,005,247,047,330,794,
502,110,041,779,267,116,040,441,983,124,360,366,093,913,681,636,511,752,389,
425,249,171,343,900,648,480,843,442,674,110,850,238,617,814,203,367,063,413,
448,233,818,425,745,040,033,689,946,946,157,587,162,414,141,840,416,997,746,
895,028,781,749,743,124,687,112,796,374,565,689,881,337,062,142,232,552,293,
197,276,360,002,931,893,704,297,152,810,643,440,355,981,566,207,811,268,471,
256,940,789,890,551,626,242,124,064,342,491,034,559,884,272,290,853,379,139,
056,319,158,385,937,619,740,988,199,917,966,404,338,155,707,376,724,735,265,
340,806,246,773,184,556,284,507,076,094,139,940,652,236,494,770,898,632,699,
372,703,638,602,831,008,870,207,839,137,902,509,544,628,080,283,228,125,981,
242,079,582,769,373,562,926,718,615,684,313,141,582,883,903,349,387,725,503,
946,235,022,172,947,763,554,539,777,505,069,096,002,963,796,319,264,307,539,
445,626,879,433,867,482,507,513,637,112,317,463,376,138,757,934,196,088,436,
513,464,849,919,600,968,837,574,359,013,314,654,023,147,106,852,548,025,061,
573,099,968,384,815,519,468,209,129,508,550,004,074,076,748,509,546,815,641,
708,346,199,896,396,614,303,914,222,459,721,082,276,820,712,256,126,656,495,
801,958,927,554,149,369,665,016,736,945,958,543,368,118,582,369,479,289,197,
685,045,594,072,808,694,629,098,726,270,496,501,123,688,289,372,141,371,813,
135,238,146,276,962,580,810,897,204,172,769,861,316,886,522,147,900,041,477,
691,735,912,992,014,339,750,434,042,560,458,734,728,515,084,671,173,364,233,
992,822,693,995,617,318,795,308,465,746,679,382,892,408,335,150,180,116,219,
897,660,814,559,360,355,745,800,424,336,774,757,158,568,945,239,008,941,924,
478,363,964,374,813,536,531,973,683,044,785,235,485,274,553,526,634,733,511,
833,050,979,501,929,391,343,318,832,773,338,378,572,843,692,588,619,925,988,
155,246,372,135,912,358,834,595,445,917,856,207,225,371,648,552,040,446,911,
111,298,373,249,877,799,339,909,579,584,458,790,856,255,298,151,747,131,296,
510,115,269,995,124,643,612,282,994,739,361,942,852,823,292,616,735,331,867,
707,459,298,538,437,585,531,341,891,312,127,634,138,810,814,391,672,840,013,
958,962,483,373,407,350,025,654,237,854,358,191,839,430,984,654,144,113,256,
770,869,599,737,459,300,825,400,253,298,574,163,260,468,737,006,333,797,177,
332,178,255,171,978,842,139,555,730,239,593,637,554,412,998,928,258,208,679,
269,364,072,317,482,375,796,486,664,836,935,839,810,628,359,747,085,998,438,
970,731,733,203,663,242,357,528,968,177,949,206,527,488,627,558,186,886,332,
038,481,639,811,059,145,447,726,512,277,942,245,791,220,158,841,682,451,775,
789,324,868,126,379,847,645,371,430,656,317,591,924,756,435,163,972,171,509,
454,535,706,686,879,940,133,371,243,090,395,229,313,560,634,971,585,314,546,
470,692,378,641,329,949,420,492,179,584,556,783,498,221,692,983,927,312,330,
783,033,553,587,394,444,506,172,928,811,175,485,489,318,270,676,163,355,846,
735,485,558,916,031,624,000,361,371,700,612,649,390,717,099,310,119,032,039,
978,123,437,021,886,837,142,200,949,120,570,423,645,900,701,604,533,927,598,
435,749,250,086,176,486,960,987,130,715,690,658,948,902,290,787,646,361,981,
035,684,499,071,288,033,992,584,598,500,783,914,799,423,979,003,027,835,635,
698,164,774,534,715,183,583,057,905,244,369,258,473,189,879,014,224,141,062,
122,322,587,388,430,610,941,443,531,266,551,374,838,864,195,158,431,394,414,
964,986,736,778,907,254,919,073,051,797,749,892,270,705,373,616,811,779,689,
127,913,616,854,000,751,419,936,184,954,767,715,197,525,428,498,366,086,690,
092,661,606,364,652,949,264,165,318,139,212,102,017,899,384,099,399,636,173,
863,466,976,819,314,508,981,756,894,623,756,662,664,031,134,759,457,829,358,
376,594,037,325,371,443,963,755,216,957,816,588,830,547,040,082,242,559,582,
045,119,757,738,530,290,054,075,596,652,731,298,968,586,190,570,411,785,890,
013,859,250,686,878,059,835,572,132,856,525,831,677,282,584,676,815,527,616,
660,177,852,221,642,040,456,126,374,128,300,989,308,018,030,783,824,355,138,
167,985,662,539,977,523,327,550,420,712,763,935,863,363,844,849,896,220,166,
186,342,939,199,106,681,773,015,340,906,506,227,854,031,337,916,475,590,700,
109,505,450,761,524,847,811,211,374,141,016,636,796,417,683,832,027,107,216,
286,799,953,954,164,719,430,365,612,919,905,701,083,967,053,557,316,748,032,
512,909,203,820,139,557,705,241,819,768,248,780,402,288,625,842,720,153,237,
978,343,002,568,212,661,218,516,961,626,671,475,880,400,795,997,689,470,918,
074,779,424,354,416,748,116,655,200,663,528,879,420,295,020,302,525,045,145,
290,721,173,097,241,348,299,525,318,500,836,976,384,773,863,076,156,776,998,
349,023,179,219,211,386,956,675,454,265,478,715,757,731,784,028,353,096,799,
334,167,993,004,222,946,750,974,203,419,744,384,034,048,924,609,786,740,627,
134,094,506,763,860,765,556,071,502,484,376,320,447,405,007,942,599,873,696,
366,842,359,752,597,615,589,541,194,060,160,719,144,161,095,656,553,298,113,
281,605,212,757,160,470,344,218,945,021,869,728,197,556,612,565,927,190,943,
980,910,806,459,965,337,186,314,974,533,833,432,145,877,906,281,072,487,774,
444,192,223,105,850,495,950,547,778,620,843,459,577,251,271,825,962,994,342,
098,909,089,408,954,169,558,742,785,307,109,627,382,522,978,862,452,923,931,
859,528,845,337,448,844,344,932,873,494,514,805,300,358,803,659,565,677,105,
598,444,332,659,616,259,034,637,198,952,793,568,372,363,650,293,269,264,433,
872,199,294,046,699,505,642,729,948,123,475,832,440,942,665,708,877,482,326,
015,489,321,755,531,999,190,746,720,973,371,065,409,279,010,257,512,088,838,
169,639,470,092,955,714,834,402,726,100,377,267,406,810,848,827,694,693,803,
755,443,028,643,417,321,670,599,540,731,383,042,821,624,475,397,100,115,032,
276,881,423,556,381,476,856,330,411,599,982,758,044,595,154,995,224,718,275,
723,920,001,564,637,872,611,414,632,961,933,301,239,522,425,965,003,751,153,
998,268,899,942,431,783,736,743,565,320,194,351,872,254,179,047,495,447,729,
435,915,242,006,662,220,243,636,366,841,321,836,725,902,696,874,150,224,704,
542,364,541,865,683,174,603,248,849,312,383,197,679,187,426,889,077,393,634,
058,759,493,345,690,392,033,460,949,354,573,114,681,792,474,027,016,623,502,
317,079,661,144,581,988,716,022,743,950,541,959,371,086,281,105,639,316,982,
725,168,426,328,475,884,968,321,737,993,462,677,784,025,054,335,073,506,936,
898,147,349,303,967,223,493,259,552,126,512,789,827,613,937,000,862,243,037,
758,677,886,333,556,952,242,876,949,891,647,824,654,469,652,874,465,166,313,
981,355,900,102,802,746,331,198,219,024,733,636,426,672,219,540,220,277,857,
582,407,804,396,653,214,090,251,096,632,918,482,949,918,445,096,969,721,143,
336,278,739,838,522,637,687,000,813,620,524,123,698,937,918,811,976,092,183,
845,973,360,682,844,490,494,659,154,279,173,202,239,285,251,084,426,995,567,
674,894,880,743,372,142,330,231,445,472,218,428,538,606,704,249,648,340,753,
394,728,155,978,317,586,636,089,082,988,443,210,264,148,995,491,157,602,539,
700,874,406,140,663,123,795,969,953,151,043,851,593,237,748,724,127,542,110,
550,871,899,613,647,139,352,843,755,458,757,310,758,498,229,825,475,049,925,
814,152,986,251,877,664,486,112,984,648,882,160,776,450,196,890,439,318,133,
695,187,386,177,667,358,385,168,310,750,398,124,392,660,942,209,257,773,552,
017,390,652,301,819,556,780,783,937,799,517,037,079,552,949,995,467,627,712,
992,378,378,428,130,349,563,360,885,732,401,686,297,461,262,133,644,230,796,
435,787,969,297,724,746,579,939,059,784,397,133,268,468,069,586,656,806,335,
388,188,735,230,964,747,825,122,248,658,802,941,919,634,130,039,993,461,462,
519,595,699,625,206,148,339,654,631,823,993,565,550,304,991,870,932,549,861,
355,427,953,704,974,412,977,855,948,970,101,343,208,747,310,472,587,969,953,
062,561,770,213,274,836,333,436,109,868,231,024,311,725,171,896,772,140,677,
783,975,068,029,836,233,506,563,690,874,147,551,914,134,899,363,104,906,695,
468,995,879,101,238,912,697,377,827,166,948,472,079,340,493,156,104,093,869,
454,432,151,442,778,159,670,631,646,054,326,573,846,249,919,667,287,482,650,
319,651,831,984,105,869,793,196,937,678,839,096,504,059,501,429,554,346,144,
631,859,132,319,720,087,171,913,283,032,127,160,749,920,015,137,180,733,585,
186,684,435,390,719,967,475,830,496,421,903,627,835,218,371,401,481,029,289,
825,707,836,304,325,284,082,709,117,913,116,692,941,609,862,541,226,691,710,
900,858,285,233,145,841,494,147,058,870,260,370,955,958,285,493,051,859,640,
704,728,871,568,266,964,816,767,312,499,768,800,805,832,855,816,487,445,826,
906,079,218,316,971,299,201,655,620,158,411,314,459,052,801,634,801,633,855,
138,621,956,188,388,274,596,621,148,629,084,673,453,776,393,343,775,452,511,
730,582,743,663,737,535,826,911,264,795,847,783,357,475,948,424,131,189,717,
082,664,975,385,340,359,005,485,996,197,490,424,343,763,104,670,097,824,099,
253,142,388,528,219,149,818,000,100,856,109,804,416,688,849,038,837,393,771,
068,836,325,868,512,160,849,930,985,062,895,320,304,574,197,126,385,725,542,
380,395,381,491,813,050,717,640,098,632,052,321,655,303,051,180,211,024,458,
190,037,292,461,206,920,406,371,037,198,960,315,384,928,363,706,119,760,653,
132,745,478,154,842,587,970,987,781,533,433,499,290,537,076,212,567,504,916,
986,729,101,597,215,654,342,249,891,607,110,573,751,066,449,029,946,324,393,
180,795,227,558,585,333,071,057,573,594,969,832,539,185,104,053,180,273,422,
813,551,478,198,822,374,939,693,288,808,254,691,411,475,310,046,121,619,477,
981,560,344,582,673,296,319,670,944,919,189,462,553,770,264,757,084,106,063,
919,838,826,372,476,912,023,313,481,026,914,777,393,728,389,750,294,373,567,
173,864,685,887,009,106,231,044,146,587,682,859,309,884,962,192,006,565,818,
409,592,274,389,170,201,331,373,188,251,293,983,169,320,701,223,276,901,188,
782,057,526,652,857,664,271,367,935,306,297,156,391,572,811,085,404,870,850,
225,362,447,261,125,808,224,256,992,714,763,246,469,867,758,039,893,313,676,
076,114,157,949,200,090,564,295,895,605,341,591,908,012,378,344,603,771,551,
350,134,446,897,263,864,072,099,802,816,393,952,954,830,405,586,286,981,838,
392,129,220,443,343,328,863,695,669,470,278,425,301,549,647,002,548,979,394,
675,156,992,083,232,977,600,874,184,070,622,901,334,709,103,380,878,943,875,
920,341,108,789,520,895,449,150,307,353,709,327,557,490,250,474,988,536,908,
521,767,289,570,038,457,387,594,985,306,204,772,921,386,827,354,872,310,351,
311,145,139,971,614,368,268,004,730,300,201,201,114,743,068,901,627,321,549,
865,982,980,561,973,376,326,236,320,812,943,769,088,177,625,192,299,308,054,
522,456,415,783,572,843,619,962,131,672,256,638,629,246,697,231,352,792,097,
206,806,767,594,123,959,994,802,777,684,442,257,884,012,277,189,432,841,673,
902,261,656,510,704,648,357,696,008,920,171,664,171,382,533,114,579,533,885,
181,900,499,387,460,544,844,676,048,114,229,912,066,255,299,142,093,929,841,
355,729,750,198,360,040,795,564,196,255,053,088,763,104,419,537,120,349,385,
231,229,532,536,432,473,476,169,626,695,160,276,428,193,428,185,170,258,984,
444,754,987,210,877,987,802,430,039,324,430,403,472,696,197,115,991,985,879,
802,018,375,748,734,983,774,328,934,751,290,225,833,740,234,695,017,060,127,
542,141,311,388,269,478,370,893,237,681,331,847,936,062,357,440,422,772,630,
793,936,941,073,115,364,010,163,165,519,827,044,865,415,169,650,490,812,416,
455,886,831,926,129,766,874,115,337,858,245,955,934,017,955,833,006,726,555,
762,566,124,794,665,762,264,148,025,486,833,090,632,608,353,665,085,851,584,
833,180,580,738,293,506,980,011,037,447,748,044,381,861,543,584,871,756,342,
132,330,565,697,318,175,589,978,372,680,525,713,108,323,350,308,355,936,882,
144,660,834,365,071,959,001,440,916,381,902,974,812,452,081,927,627,544,637,
046,288,561,772,197,120,726,414,834,715,855,138,936,575,781,500,230,397,650,
837,561,946,469,480,603,025,779,125,037,893,221,607,097,939,029,264,030,335,
206,657,101,609,891,646,132,348,730,112,810,825,182,976,484,161,230,769,146,
947,770,014,255,389,256,894,178,407,727,872,775,102,744,521,413,046,469,236,
607,829,379,371,955,991,466,096,402,141,934,195,951,387,485,568,045,364,461,
821,122,136,851,606,301,301,370,474,729,813,575,397,924,628,191,302,293,199,
469,941,475,207,549,646,701,197,800,467,957,236,102,689,373,680,485,572,034,
278,970,850,229,180,952,117,411,315,534,211,381,719,304,558,961,140,365,255,
085,691,909,447,171,540,843,650,743,259,078,660,874,463,859,077,861,375,321,
700,607,603,445,996,419,564,440,413,032,763,241,214,437,754,594,169,988,844,
550,343,057,198,731,327,166,169,483,541,238,179,020,742,772,084,058,650,617,
303,618,822,322,310,916,453,717,444,799,917,666,792,932,820,339,561,928,556,
938,202,308,753,404,412,365,318,905,684,288,137,459,363,618,545,052,826,734,
865,428,864,963,052,926,666,044,158,051,923,146,022,368,272,500,601,304,569,
535,242,004,484,640,709,484,606,469,376,603,666,632,860,499,711,009,377,029,
446,595,660,712,691,588,274,399,479,108,332,177,917,197,381,049,597,739,484,
780,503,545,323,320,596,984,133,459,097,905,877,191,272,552,295,519,667,384,
360,684,493,494,317,450,836,734,281,457,953,902,778,009,041,627,295,900,028,
948,651,387,574,222,797,798,161,591,778,115,416,397,661,349,220,338,675,373,
352,873,980,312,842,081,104,728,146,006,669,105,302,985,197,281,330,960,896,
805,140,453,611,454,773,327,617,582,047,833,939,522,957,934,423,157,321,413,
232,880,288,358,218,965,293,176,976,856,626,552,019,708,482,434,720,952,649,
888,203,866,445,140,726,240,548,656,881,993,775,874,263,993,836,113,328,654,
218,892,594,590,652,850,510,210,432,220,566,410,440,272,824,219,265,739,951,
835,052,784,780,860,772,345,200,737,511,470,677,403,888,456,752,995,638,220,
617,102,394,217,182,569,644,385,864,331,077,873,896,210,332,110,095,875,513,
707,246,753,927,679,033,662,540,804,272,624,142,956,736,613,878,319,532,064,
956,263,197,293,258,976,078,556,024,729,879,627,259,410,935,321,209,381,974,
435,281,006,694,293,752,980,095,027,283,867,848,840,651,637,859,982,607,002,
597,431,131,872,647,055,612,658,405,878,621,206,226,482,336,912,268,498,169,
853,582,040,064,480,414,530,891,082,830,751,390,431,145,898,549,813,197,948,
722,178,735,608,743,169,359,051,484,949,340,826,658,714,444,959,120,729,100,
448,656,670,076,096,929,849,319,632,967,230,520,858,500,264,286,114,095,162,
334,588,241,350,370,189,188,951,816,490,787,451,775,992,680,574,146,759,393,
851,116,728,548,419,670,320,939,049,113,167,516,538,864,741,400,576,608,523,
064,565,308,562,095,044,855,524,085,594,313,246,401,300,234,008,299,857,028,
098,070,003,616,172,468,007,489,643,863,490,903,449,397,299,499,537,848,277,
088,204,495,405,639,811,468,791,706,087,519,404,966,834,501,239,394,262,088,
045,846,995,001,956,302,250,315,251,767,433,508,817,213,422,065,361,096,419,
981,526,350,185,221,417,410,927,837,499,413,886,217,080,430,356,073,676,759,
147,970,015,660,989,368,525,042,759,298,136,029,861,820,128,709,895,631,726,
713,599,534,800,773,842,184,070,876,423,310,449,144,369,311,861,226,277,064,
358,474,674,458,779,356,508,249,028,120,468,200,957,764,594,126,175,881,887,
457,164,153,117,841,462,217,651,302,058,095,063,926,832,413,069,395,483,505,
840,882,196,289,637,391,270,355,501,877,919,483,924,329,634,479,689,456,668,
816,478,146,032,327,196,133,419,339,936,152,510,851,961,852,702,965,256,853,
981,435,495,836,028,726,448,483,322,983,206,042,693,307,972,920,943,597,162,
506,472,184,405,419,182,401,415,897,201,756,158,791,390,507,704,911,041,775,
179,218,099,548,000,720,614,322,618,013,346,868,191,840,361,850,519,363,909,
056,102,954,436,154,366,776,429,394,567,164,182,705,326,417,760,342,578,395,
642,907,518,926,251,101,122,026,527,777,804,611,867,928,860,956,135,168,818,
644,919,774,788,121,219,320,583,817,729,404,606,078,332,493,718,475,456,712,
476,471,697,180,591,149,944,828,988,266,884,520,762,386,340,062,327,726,180,
115,960,522,760,166,073,416,371,503,256,234,868,139,848,184,077,989,782,876,
335,575,588,839,730,141,509,436,459,879,433,493,626,635,000,224,508,964,212,
460,324,122,486,006,148,204,242,728,333,831,660,764,011,360,694,448,195,132,
398,799,448,210,653,389,039,914,288,104,654,268,644,428,580,848,420,346,244,
606,857,049,288,255,060,494,579,246,012,146,083,956,203,021,993,815,673,635,
361,697,575,018,628,132,637,264,902,756,055,481,627,501,519,251,521,152,104,
857,341,547,259,260,467,065,876,337,129,366,302,204,982,347,854,523,777,330,
997,352,936,436,641,630,126,934,601,817,846,188,246,106,207,955,064,200,000,
558,812,705,549,420,071,240,903,032,140,319,410,392,799,723,820,412,663,923,
581,181,274,710,689,279,676,646,705,334,295,802,339,310,832,244,974,135,565,
335,634,323,149,512,947,680,788,679,660,336,270,295,524,620,387,298,260,069,
329,820,195,748,171,087,074,300,736,494,860,478,005,558,443,702,505,734,184,
515,526,460,144,706,480,663,041,888,690,818,830,879,319,797,779,240,268,215,
370,629,975,469,561,422,158,531,833,384,881,811,992,223,301,169,565,878,079,
752,862,052,057,290,256,305,408,903,404,370,713,677,524,040,577,608,439,291,
092,345,642,991,834,531,160,763,837,632,150,029,936,262,834,076,919,960,059,
982,419,741,637,860,940,857,151,505,389,280,160,559,128,159,401,035,864,791,
250,315,557,453,325,009,806,992,118,140,109,129,623,848,770,677,575,339,760,
951,797,047,020,608,031,254,575,044,414,551,883,512,353,226,756,181,511,130,
097,635,276,450,742,823,958,832,971,175,728,773,941,452,706,529,251,922,466,
748,759,469,707,085,752,632,783,614,381,989,834,458,552,634,164,490,056,930,
889,779,485,358,534,678,674,656,943,684,546,736,218,161,321,061,574,900,241,
606,138,696,566,065,801,778,601,044,759,614,146,123,849,044,417,787,575,816,
320,803,837,113,448,021,402,719,250,863,709,861,709,457,515,042,771,538,834,
859,261,936,934,717,080,190,999,455,739,960,078,216,810,710,534,655,130,918,
601,521,832,794,037,514,671,460,069,596,315,628,734,241,552,167,681,824,200,
113,207,483,204,115,212,031,624,092,530,457,499,949,495,069,148,877,966,541,
681,155,245,118,658,215,189,533,365,971,919,320,105,116,017,385,057,878,761,
853,142,158,252,066,782,486,823,623,457,352,788,456,349,456,057,742,035,087,
561,607,427,441,839,596,653,842,260,759,824,128,953,842,552,929,102,905,916,
384,401,595,008,424,630,216,621,675,954,404,629,681,636,639,535,657,000,945,
067,304,392,797,032,493,504,257,052,050,536,879,282,228,856,996,241,988,336,
618,974,756,828,214,933,015,854,180,943,573,127,191,196,233,304,876,007,096,
321,782,830,484,984,129,628,104,926,776,947,350,403,387,266,276,360,225,246,
077,311,160,397,442,145,955,980,490,800,106,340,757,229,398,282,554,140,612,
559,905,623,502,997,815,420,727,945,996,575,809,166,629,097,572,757,156,557,
420,512,253,308,102,366,668,258,796,140,922,406,315,446,050,341,928,513,886,
734,322,845,242,364,410,924,683,423,572,085,289,897,876,194,997,181,186,817,
795,030,749,108,597,491,787,661,598,336,514,691,487,169,169,793,097,492,000,
815,978,103,442,747,328,819,064,896,843,727,195,504,897,285,044,278,305,453,
423,848,050,412,498,273,253,508,447,259,218,497,353,580,410,272,068,960,422,
781,399,338,532,363,408,986,828,752,307,251,082,587,475,586,902,143,218,287,
165,992,860,825,225,878,237,865,621,836,757,462,552,939,733,077,293,273,681,
558,513,219,967,250,155,248,404,723,387,295,989,907,044,694,571,734,354,870,
662,964,993,808,143,754,717,943,488,354,556,300,235,307,614,390,002,554,642,
828,893,386,365,889,714,419,617,952,015,435,134,644,678,885,473,262,727,204,
539,960,929,962,303,477,115,517,476,027,939,409,778,858,775,729,583,071,634,
876,329,182,506,728,116,730,581,445,812,380,043,116,500,382,922,961,230,277,
484,547,770,230,855,546,892,886,446,616,316,502,280,473,322,237,239,896,940,
802,344,699,770,390,632,042,721,831,872,098,960,343,172,742,788,250,766,787,
050,623,809,123,687,156,619,215,677,679,466,303,824,523,496,399,624,836,076,
504,066,628,558,254,797,719,808,305,185,686,275,044,947,165,022,023,709,584,
059,449,478,309,307,301,706,960,499,226,503,051,143,304,942,467,689,733,538,
514,240,093,877,728,395,690,767,731,488,661,853,341,029,020,595,630,101,100,
280,796,930,747,596,820,310,034,619,569,524,576,254,755,049,938,176,314,936,
947,502,019,255,227,426,636,222,436,979,324,387,260,003,331,214,808,785,896,
167,013,114,783,321,781,743,615,816,549,338,007,128,268,344,312,664,393,208,
437,780,941,929,188,973,815,456,033,559,069,917,609,423,699,909,872,117,164,
286,652,792,525,736,595,237,458,369,130,559,722,875,035,386,858,406,844,040,
596,781,889,709,535,114,594,088,679,711,595,886,900,630,354,067,647,684,519,
261,866,132,443,459,316,846,502,292,229,197,838,733,241,163,838,020,754,280,
854,136,060,207,966,917,788,158,941,207,478,247,048,730,157,745,245,009,173,
184,844,179,681,942,575,053,157,104,547,705,690,139,022,392,485,328,046,449,
306,936,523,703,514,519,792,339,902,592,453,075,740,422,702,871,990,238,752,
235,521,750,290,749,700,517,966,320,965,728,518,887,548,559,773,295,607,626,
932,989,305,470,076,488,434,815,992,246,758,679,817,094,350,078,412,807,513,
729,347,852,495,985,509,170,880,324,053,988,771,936,814,634,209,310,023,190,
524,560,398,865,999,517,065,255,651,510,946,308,520,134,938,406,986,381,915,
210,525,425,351,583,204,699,288,421,129,502,802,282,552,193,061,235,494,532,
872,549,213,990,628,659,985,167,361,732,250,546,185,266,871,470,310,890,242,
772,579,693,000,510,015,391,023,262,467,684,495,282,525,349,582,008,482,080,
857,019,098,990,518,709,328,136,904,014,578,151,442,795,036,382,448,421,276,
048,831,425,563,192,957,088,006,272,742,067,320,814,599,891,210,399,139,746,
572,161,010,767,237,714,527,879,216,076,672,165,769,679,553,443,722,652,479,
978,057,554,321,997,496,325,639,759,178,730,208,948,292,877,908,222,109,704,
933,955,368,964,617,278,712,263,741,416,531,829,020,649,609,115,064,812,245,
976,382,671,762,491,102,039,184,435,255,005,817,873,667,919,192,399,722,877,
026,869,880,975,570,495,314,132,229,444,000,619,663,947,946,514,871,104,844,
023,968,211,852,335,946,927,968,924,940,433,152,662,793,588,361,772,391,200,
077,964,228,960,901,274,385,183,502,150,134,250,297,415,040,855,208,237,618,
034,387,027,173,440,682,850,997,914,604,350,036,595,448,730,683,100,449,221,
974,818,473,541,284,413,167,404,737,134,819,567,890,208,227,260,572,154,400,
830,212,155,341,935,972,579,649,461,809,270,318,966,735,738,532,105,848,686,
077,942,349,548,160,813,336,259,345,121,889,674,702,244,160,808,049,436,619,
295,866,588,765,710,129,544,824,331,367,450,960,768,542,960,908,083,956,603,
284,116,408,092,891,730,722,741,020,137,086,380,992,189,258,160,260,355,113,
574,995,168,490,845,198,950,370,718,614,627,050,587,097,799,517,646,301,203,
425,945,714,819,448,282,212,229,298,955,678,951,136,933,363,619,932,103,286,
433,328,573,194,329,045,126,418,337,483,553,210,049,647,606,731,394,461,399,
672,563,443,191,562,442,942,996,632,126,935,723,458,618,681,022,594,920,940,
949,276,145,181,858,475,398,699,372,690,245,394,330,436,098,018,714,335,212,
047,893,237,653,711,617,438,064,634,551,635,655,708,095,154,430,969,206,415,
278,189,063,607,845,203,918,698,337,750,477,095,036,742,961,419,714,694,385,
331,798,751,375,535,891,654,514,087,002,219,322,728,055,865,305,937,571,829,
706,846,913,224,110,462,143,244,415,772,950,081,318,494,986,552,827,771,059,
973,360,614,501,922,432,822,789,623,329,228,400,026,339,538,107,841,444,368,
808,433,975,869,660,389,417,099,837,385,847,884,700,027,892,440,852,981,295,
235,791,542,460,635,412,125,389,294,042,912,949,017,040,289,705,512,305,170,
655,966,458,230,163,294,590,418,435,166,003,773,941,045,552,617,247,318,302,
194,534,571,862,929,341,956,308,084,106,870,207,541,970,904,053,359,778,985,
304,044,524,807,111,105,703,427,788,721,088,549,874,657,121,030,011,247,534,
139,991,209,235,904,576,784,828,458,758,522,508,593,452,821,573,972,156,093,
571,161,958,297,705,897,543,392,868,732,416,493,052,049,724,383,644,364,122,
350,588,645,062,268,447,849,177,521,302,503,348,271,259,474,733,846,715,198,
088,993,250,771,416,951,715,970,264,537,131,920,387,307,083,254,564,601,723,
857,751,593,389,058,861,535,186,652,142,025,603,541,865,999,185,251,832,620,
511,800,695,242,251,338,108,908,654,297,047,492,861,110,083,709,238,954,408,
507,514,249,012,357,025,476,891,773,514,410,263,355,243,533,664,695,486,246,
162,267,737,360,496,000,715,682,157,222,231,382,239,592,254,741,145,694,176,
286,119,930,836,128,035,713,861,989,036,117,131,293,339,088,786,875,411,597,
015,705,278,244,710,890,541,111,413,308,621,474,472,377,996,282,277,751,265,
380,862,407,453,355,851,158,505,751,239,009,912,666,004,751,458,868,546,030,
675,800,658,594,101,606,493,319,551,307,616,886,519,758,405,990,038,478,369,
917,701,995,037,385,186,626,570,342,674,066,179,977,582,197,154,966,768,352,
755,708,766,784,117,422,611,420,113,077,132,729,297,275,949,244,448,042,845,
722,539,013,130,111,913,149,207,313,409,796,334,265,659,403,992,642,873,757,
456,194,590,597,279,133,667,743,708,831,085,604,987,539,324,358,590,191,308,
502,310,591,242,562,845,339,241,470,722,818,369,699,914,974,211,177,469,677,
570,788,090,683,423,392,923,644,281,859,722,766,084,486,708,085,160,308,356,
024,347,845,716,802,371,471,125,420,403,671,877,394,256,887,239,027,994,919,
846,997,883,619,094,779,079,046,792,654,770,474,756,323,297,172,786,494,826,
140,455,270,780,293,101,441,783,206,140,907,405,159,747,852,541,001,341,766,
932,926,802,953,807,511,655,531,136,304,192,312,351,223,627,783,621,826,037,
130,904,361,929,303,725,785,493,697,494,645,763,661,935,703,892,891,954,697,
892,100,582,615,883,533,345,941,019,030,842,696,432,586,124,779,709,011,121,
849,531,498,952,160,251,789,440,914,395,792,278,150,442,180,858,076,967,301,
626,634,279,727,196,241,260,632,993,615,071,805,813,375,210,638,488,707,942,
818,415,076,484,723,854,426,655,994,990,289,191,523,407,377,054,705,114,184,
958,335,263,945,918,777,995,830,618,092,210,080,740,489,662,446,916,036,357,
979,695,888,092,804,440,525,605,075,654,164,621,389,528,747,851,695,412,662,
659,191,453,214,494,279,200,196,065,687,341,041,704,939,872,313,031,992,982,
448,622,336,088,454,275,586,342,856,927,431,400,322,382,081,875,363,370,234,
063,422,877,214,774,431,009,178,493,110,928,556,422,046,675,781,941,450,279,
101,075,675,321,647,584,156,972,732,086,513,770,943,458,264,538,686,596,703,
972,683,651,510,667,690,233,346,534,961,910,674,232,766,266,320,937,949,625,
951,581,587,309,661,547,583,313,492,318,393,779,624,079,322,976,945,642,936,
336,851,183,865,718,743,054,766,761,383,475,132,915,871,486,206,524,490,085,
574,766,672,450,378,339,915,620,456,124,561,083,996,913,696,433,850,035,256,
421,069,598,575,523,085,918,762,898,215,104,822,175,835,242,982,660,971,495,
630,484,048,611,096,718,009,333,061,293,573,586,131,621,238,188,994,084,704,
240,073,405,075,435,438,623,574,359,580,177,959,833,946,275,393,344,926,225,
513,748,073,089,620,333,374,231,916,373,727,396,209,288,504,192,370,622,572,
196,786,713,993,835,044,631,484,786,904,081,994,477,276,280,767,796,427,873,
586,593,622,825,588,992,711,291,335,087,241,115,535,184,145,510,395,340,028,
347,172,391,663,481,504,465,263,747,842,235,800,195,621,616,107,393,361,609,
816,041,472,641,953,084,435,794,010,593,901,189,895,690,416,432,732,836,871,
399,128,916,272,655,706,894,286,028,609,639,520,155,745,692,662,709,434,965,
551,064,450,959,014,021,986,758,554,512,672,770,421,513,994,324,523,174,322,
122,794,564,919,736,173,327,020,213,087,037,437,890,149,368,034,259,272,250,
153,162,127,487,316,617,486,689,491,758,823,444,434,368,728,902,036,344,104,
160,820,454,568,816,556,521,708,265,762,174,049,546,986,563,780,766,247,615,
071,277,829,781,756,593,198,769,278,816,623,980,951,281,716,478,195,555,241,
682,515,960,950,852,891,643,548,933,152,548,887,370,860,133,356,902,645,121,
897,244,864,857,538,063,714,649,462,136,014,553,699,311,339,930,086,240,542,
395,226,964,075,384,659,772,594,072,565,992,172,452,781,208,920,617,240,166,
260,222,639,457,995,689,903,208,123,661,831,255,237,900,780,486,537,370,469,
118,240,217,877,000,860,182,573,553,981,975,510,369,504,341,559,149,289,628,
117,908,334,970,971,674,993,173,367,954,689,543,136,064,986,050,537,359,400,
428,191,345,727,815,998,289,993,283,726,657,831,195,123,998,148,205,207,820,
021,980,238,483,632,413,456,453,702,988,650,739,224,194,648,855,242,852,478,
696,357,336,643,495,650,618,153,109,150,359,767,569,824,862,834,441,957,305,
311,618,602,768,646,534,712,217,792,739,342,130,416,437,465,149,262,546,410,
531,412,619,931,729,703,354,004,124,201,897,379,031,002,034,427,448,157,446,
425,659,276,864,644,404,935,208,976,615,216,983,021,664,456,221,996,401,142,
874,526,782,317,216,634,685,650,879,444,567,888,928,157,301,813,127,759,793,
963,975,443,543,390,489,007,822,048,529,874,849,351,070,664,417,793,755,179,
162,188,435,913,443,896,614,845,769,665,439,057,616,632,841,967,281,341,017,
445,416,532,291,291,288,926,637,987,353,573,748,620,797,337,569,964,695,500,
574,877,325,287,584,223,565,325,218,074,427,754,584,383,787,311,433,148,905,
244,286,350,476,968,860,154,569,650,092,529,071,208,232,026,471,797,277,339,
953,018,328,785,792,740,616,530,469,693,410,629,929,637,402,727,219,025,504,
832,934,965,048,602,888,836,846,773,091,092,496,468,829,571,938,340,107,126,
853,335,754,963,015,663,859,041,348,924,637,718,275,314,036,002,142,200,825,
216,048,267,306,511,389,111,997,688,354,469,970,492,589,637,912,874,212,804,
426,583,009,169,535,436,267,642,474,913,256,292,140,271,099,660,042,951,475,
552,197,185,039,725,445,534,225,394,600,925,759,536,926,490,682,872,003,839,
283,419,885,246,089,083,106,382,482,275,241,116,464,147,170,476,814,084,392,
345,199,189,728,779,853,016,225,995,350,205,311,797,601,775,373,578,361,990,
850,574,325,230,847,023,033,977,775,154,550,180,238,314,966,474,276,368,644,
769,863,889,410,430,912,203,220,434,867,524,237,906,079,168,499,237,919,311,
217,202,232,537,863,472,843,077,043,933,740,159,222,882,025,391,082,628,374,
845,591,995,337,930,444,807,128,695,782,248,079,158,456,315,993,938,086,965,
952,253,159,878,005,386,925,273,033,400,344,584,560,153,982,902,508,559,934,
948,186,497,113,300,513,652,045,220,598,148,326,762,586,161,845,544,361,373,
270,127,993,771,158,898,269,103,640,239,558,407,081,470,241,723,010,275,075,
854,010,807,802,551,994,646,393,937,917,225,667,764,515,499,188,339,950,704,
948,233,996,095,530,629,223,250,912,055,213,439,836,364,555,264,297,599,467,
642,542,688,629,420,691,219,519,744,608,568,867,900,751,989,355,146,660,671,
896,478,201,376,972,056,958,087,347,260,537,954,631,672,202,750,300,523,376,
444,793,724,022,290,134,087,216,262,128,295,541,683,819,439,796,943,699,613,
634,607,010,363,625,896,326,928,047,765,372,696,385,426,352,170,475,175,225,
162,374,265,953,310,826,105,899,827,499,933,244,360,290,292,033,662,136,716,
669,556,613,618,575,558,586,979,137,971,587,246,944,968,539,238,141,061,412,
414,976,458,768,349,384,270,269,370,792,018,150,793,977,430,266,127,319,343,
198,074,059,039,249,265,999,495,126,183,478,446,737,405,660,633,175,443,542,
811,005,786,914,267,606,563,916,307,055,282,765,877,640,595,675,395,554,893,
151,705,565,177,671,416,444,633,238,631,157,578,974,137,082,304,495,615,954,
807,555,906,069,476,370,806,643,593,178,166,117,748,486,824,041,685,904,328,
679,034,070,826,057,502,403,597,587,265,097,877,800,480,915,121,001,157,264,
489,757,012,764,227,530,779,194,013,003,467,524,505,126,288,734,817,333,107,
195,092,261,580,977,379,968,870,898,195,635,230,053,399,541,747,914,075,133,
751,173,410,354,933,435,849,258,093,216,566,159,535,217,671,842,277,274,267,
686,116,032,076,600,579,504,495,070,226,795,667,068,472,015,629,364,324,629,
233,748,569,091,001,666,570,844,894,003,432,285,111,519,702,833,516,347,485,
501,987,429,319,227,153,869,652,475,051,779,617,368,160,895,566,845,655,045,
963,161,390,978,661,671,697,907,617,543,845,658,194,037,647,317,781,769,693,
132,278,946,444,921,584,634,867,811,983,225,342,876,687,520,908,435,225,291,
813,784,934,463,187,789,271,227,660,761,238,588,668,013,656,910,952,676,086,
704,782,772,698,274,945,447,207,361,955,320,605,142,550,953,421,921,889,357,
370,463,605,391,574,215,840,769,261,201,063,414,963,856,745,684,902,012,988,
076,360,439,336,505,932,959,037,123,771,065,197,914,638,210,467,405,682,583,
975,130,336,599,794,987,565,782,597,654,292,353,274,548,177,772,332,571,898,
797,935,736,043,323,210,394,184,064,301,563,434,919,252,411,630,208,050,147,
953,724,107,772,386,103,334,949,196,950,818,672,444,464,056,823,635,625,202,
519,883,114,562,776,414,151,422,646,325,931,101,448,376,775,603,684,799,605,
310,190,676,592,274,104,377,655,658,682,267,213,885,684,908,778,894,671,186,
156,723,653,716,431,142,475,393,777,031,942,340,968,623,217,504,684,165,610,
237,858,025,411,555,297,508,658,766,575,787,367,716,927,496,043,042,570,993,
529,481,565,215,362,041,942,939,551,092,549,840,855,415,327,426,634,161,332,
087,409,210,516,050,514,869,207,146,536,259,361,346,124,009,718,171,948,596,
258,444,494,541,699,162,465,781,562,633,013,013,673,503,899,699,324,940,916,
000,419,816,335,375,368,725,606,740,675,088,070,187,642,202,040,085,617,314,
592,396,936,695,892,136,422,846,712,570,987,900,481,931,711,600,673,188,567,
390,832,768,830,938,009,552,211,844,240,964,487,703,982,947,436,193,764,739,
399,903,462,646,398,589,926,799,961,346,591,374,832,802,657,043,619,782,381,
736,689,018,207,930,591,684,548,982,532,873,343,666,175,782,328,154,797,771,
996,498,923,356,948,690,334,970,598,824,973,547,732,502,824,621,277,931,023,
565,897,784,027,751,595,276,992,465,556,521,910,499,299,315,497,925,896,419,
489,410,014,609,128,159,543,091,091,343,754,212,079,144,273,258,775,706,765,
538,678,374,434,920,641,837,375,838,169,119,556,144,068,739,535,808,450,351,
329,088,864,588,705,584,133,672,229,902,791,384,961,514,138,086,128,342,537,
674,881,065,039,952,602,258,275,435,696,458,876,835,940,785,418,421,218,797,
681,829,682,246,571,595,020,139,660,654,360,863,478,140,402,802,262,789,191,
520,489,083,057,955,290,424,188,740,448,890,012,387,120,171,598,718,532,430,
945,153,788,297,014,060,044,143,784,266,773,561,646,258,453,148,180,790,370,
075,483,141,777,519,774,983,469,819,053,509,860,956,353,464,266,958,344,132,
760,149,843,139,999,580,097,028,216,912,864,035,368,592,629,926,119,755,877,
776,325,187,957,420,107,719,348,862,426,692,344,190,388,667,449,638,054,530,
291,580,231,942,716,131,909,499,884,308,411,361,160,240,292,736,097,207,145,
389,989,131,117,538,836,055,353,142,503,835,408,149,896,577,957,494,789,152,
216,199,247,078,888,790,734,960,340,208,780,668,739,822,872,612,100,613,299,
757,209,354,868,773,641,454,481,776,236,182,828,796,891,869,173,878,249,524,
538,977,038,054,482,723,947,500,937,067,217,276,801,184,877,902,076,687,152,
551,973,346,781,424,813,067,410,920,967,271,282,873,706,500,959,677,453,932,
276,497,488,466,291,293,597,344,220,457,465,688,038,513,975,483,391,695,953,
638,182,494,984,459,273,930,192,402,847,850,928,814,457,671,699,247,852,358,
275,693,448,290,852,933,577,669,979,152,129,169,136,308,909,019,964,360,614,
931,085,547,456,532,455,490,141,079,529,466,652,571,276,088,468,418,795,363,
016,695,521,127,663,141,600,007,163,841,277,038,555,316,431,789,587,618,470,
920,299,925,290,546,295,688,868,524,406,198,261,439,482,412,181,310,180,417,
341,412,194,734,385,177,264,782,352,128,721,249,704,271,591,071,764,196,041,
893,612,366,217,662,698,402,843,956,611,395,060,857,382,861,159,904,995,305,
531,524,141,867,487,096,815,651,953,923,819,740,723,051,109,471,298,928,691,
082,038,407,533,848,425,088,430,431,053,085,544,436,233,621,156,140,949,701,
290,499,848,953,707,206,574,552,236,855,216,823,955,700,213,443,924,166,482,
631,748,175,296,086,538,533,205,886,868,181,626,955,383,091,415,269,223,844,
072,385,434,206,361,996,503,430,879,974,624,185,860,824,507,154,327,363,352,
385,727,471,078,401,476,474,232,603,775,264,723,391,295,896,200,326,956,663,
273,966,546,708,579,040,986,068,262,534,912,845,707,429,592,810,134,928,264,
280,657,073,470,928,676,023,861,800,567,012,399,422,936,449,557,861,141,194,
147,582,699,205,672,263,523,936,069,285,780,490,515,283,550,089,571,011,672,
097,091,665,659,370,025,542,538,978,482,246,715,417,650,379,628,014,299,777,
257,921,713,325,372,965,985,325,639,871,406,965,058,393,802,396,076,984,330,
570,534,230,128,702,932,867,614,347,779,424,068,501,881,964,137,455,392,451,
296,308,551,105,731,215,605,630,109,870,979,748,986,584,030,292,141,281,651,
220,418,921,172,167,943,276,078,117,015,884,618,280,375,132,599,610,033,348,
381,187,508,138,638,681,943,448,865,506,885,739,350,366,279,748,278,797,323,
683,142,545,026,208,173,087,872,342,125,912,044,386,186,193,750,888,766,721,
403,856,587,727,278,856,419,982,651,881,777,666,057,265,539,867,399,685,004,
436,512,233,055,829,997,981,459,735,876,872,710,073,045,167,803,819,258,230,
257,457,035,903,759,900,646,523,280,973,779,418,936,453,423,806,230,854,780,
515,119,399,743,436,202,966,983,243,892,821,510,364,205,216,613,488,108,626,
282,617,333,777,388,770,723,302,666,358,098,025,699,909,018,876,222,990,173,
028,343,789,320,296,443,481,194,848,911,368,604,910,265,766,836,492,480,123,
823,221,462,875,681,491,717,714,945,985,115,947,941,136,034,404,074,430,177,
562,086,984,442,401,090,805,902,572,285,794,297,232,488,606,785,722,359,963,
506,315,416,484,101,476,710,918,774,049,450,127,452,838,045,641,687,830,251,
956,780,395,630,418,416,358,578,803,452,579,277,829,663,538,106,477,376,382,
266,632,196,898,063,627,364,113,414,241,174,267,436,815,859,090,315,042,780,
579,505,588,622,220,417,312,963,449,153,037,768,445,986,561,136,222,475,632,
127,622,809,051,673,383,734,086,183,403,849,517,136,694,208,095,364,920,724,
773,353,709,568,719,585,628,537,496,023,322,184,386,432,869,362,296,212,122,
703,196,912,871,877,084,176,740,542,624,329,845,790,506,225,523,805,834,127,
504,947,139,026,029,710,690,556,613,547,378,473,708,248,502,547,500,340,188,
682,443,025,933,489,164,009,674,195,810,094,900,346,279,122,447,711,719,698,
944,890,854,831,308,435,988,080,531,125,375,072,887,685,220,039,762,129,326,
273,942,185,944,430,788,855,328,550,056,219,695,212,107,426,648,173,429,765,
192,980,086,738,299,141,265,196,323,142,240,311,648,922,620,672,427,361,114,
975,041,830,527,473,698,444,749,483,906,938,889,257,702,501,489,255,649,627,
792,623,200,054,189,024,281,647,280,468,154,234,523,715,221,990,240,461,223,
970,654,040,043,249,137,054,573,247,503,514,217,380,010,021,730,756,734,536,
431,977,317,364,352,964,338,642,479,415,790,825,042,054,207,204,262,783,516,
636,749,018,574,639,959,778,024,475,105,470,379,881,332,798,603,272,637,120,
913,622,792,816,921,237,077,355,102,042,460,732,963,646,239,051,824,246,914,
470,529,747,818,147,186,808,829,932,753,215,652,296,552,190,474,088,662,866,
777,132,274,750,250,396,956,987,972,471,089,100,681,332,924,938,180,233,096,
267,560,268,633,460,418,334,400,315,200,732,806,990,321,294,727,019,604,134,
912,924,947,928,810,079,795,417,300,308,313,285,814,140,029,068,198,017,547,
240,585,494,768,682,503,168,860,959,294,287,035,324,839,158,733,988,396,235,
633,574,790,071,154,761,011,213,506,461,689,341,917,403,942,791,825,926,697,
359,228,733,856,106,067,672,986,501,601,881,415,671,358,046,600,060,087,051,
148,017,105,690,646,421,231,705,898,157,639,721,347,298,196,034,753,251,649,
034,996,996,992,205,046,753,940,213,752,321,734,510,868,808,962,749,155,382,
265,932,684,654,778,182,544,769,092,172,902,207,635,521,511,877,841,982,078,
875,484,882,209,133,229,673,252,699,887,126,381,693,961,595,372,977,118,885,
825,874,345,456,909,801,290,974,257,847,311,882,756,744,515,266,048,156,125,
596,758,430,946,195,226,426,168,187,795,283,856,353,666,680,345,045,457,115,
904,974,556,161,635,486,037,993,678,081,313,521,726,236,279,213,082,000,382,
059,410,233,734,536,429,325,299,858,868,267,818,725,564,184,931,825,351,622,
086,125,189,387,891,412,414,288,518,349,220,488,446,351,798,001,354,534,177,
876,189,655,404,610,847,314,997,007,112,101,202,346,468,170,336,967,783,596,
148,227,340,534,163,170,060,770,674,756,471,865,062,984,398,018,243,813,031,
473,470,651,705,942,221,240,777,847,407,592,572,224,578,392,546,917,239,040,
329,413,515,998,978,261,897,070,241,676,604,816,204,882,259,848,790,146,957,
051,430,865,736,195,471,703,881,712,213,324,380,893,705,637,144,763,535,600,
748,301,848,436,075,921,473,533,668,255,222,034,185,134,343,580,356,281,252,
122,487,088,918,415,800,797,678,979,498,001,934,938,802,622,963,311,923,311,
075,280,627,089,399,412,544,198,321,959,733,795,082,640,518,786,445,208,922,
474,891,861,251,106,703,501,628,188,069,736,458,691,872,697,742,817,083,022,
584,193,197,215,842,133,203,485,810,666,388,185,091,870,391,327,002,684,853,
391,770,449,926,563,826,913,330,222,771,686,204,460,281,757,265,741,153,485,
962,683,800,734,601,052,597,697,942,020,843,147,979,589,514,509,148,225,451,
969,325,845,413,827,039,233,348,466,299,705,873,353,120,361,110,484,655,883,
365,913,385,296,797,264,837,441,490,371,506,251,184,784,559,001,141,237,210,
885,672,049,869,578,216,484,839,650,436,837,608,726,929,220,254,028,432,356,
136,576,272,479,282,905,647,778,651,537,413,814,184,298,041,235,335,679,208,
867,953,533,774,421,038,678,768,903,700,467,265,323,640,228,446,263,794,040,
108,692,206,180,717,940,384,408,332,602,800,324,118,514,216,400,662,493,928,
375,176,900,325,288,767,670,647,375,935,667,945,217,910,215,286,965,212,949,
165,698,896,423,046,953,581,387,763,310,420,457,022,857,661,850,341,174,906,
567,307,868,495,660,466,092,978,553,524,368,534,246,012,287,877,506,303,811,
400,844,473,533,077,941,333,568,137,728,384,918,950,890,556,631,169,691,453,
775,654,107,762,631,445,998,142,760,660,669,335,288,356,517,002,738,107,728,
156,638,662,169,443,026,132,098,893,935,797,419,517,485,565,268,084,207,273,
783,463,365,264,783,397,124,986,508,322,917,860,136,982,632,642,304,309,026,
322,711,967,262,870,182,851,080,509,672,464,040,424,854,876,643,625,275,262,
325,757,274,652,887,824,177,895,570,916,362,200,271,137,210,997,044,660,765,
674,580,911,286,257,104,050,422,793,126,135,746,635,966,657,142,928,046,022,
528,373,510,600,453,958,300,156,348,577,221,651,846,458,644,089,500,404,988,
475,624,446,180,229,599,259,162,319,447,074,811,536,018,509,554,149,933,281,
382,431,643,026,940,626,412,455,934,815,632,204,933,689,024,182,474,236,483,
040,986,383,653,704,483,168,508,141,741,082,212,633,767,631,693,984,886,986,
313,496,570,920,408,953,411,165,228,791,279,969,223,536,793,125,702,907,883,
849,923,822,267,008,311,030,743,857,301,456,774,715,690,419,580,740,790,821,
853,043,125,506,872,617,103,445,736,022,250,649,295,363,110,685,697,564,895,
296,415,753,006,392,762,373,297,633,190,342,511,673,033,834,071,162,603,825,
635,564,620,410,586,633,224,519,395,580,962,140,062,493,229,698,645,753,538,
311,388,422,479,070,213,396,367,355,302,499,285,605,707,371,118,357,089,012,
625,124,603,564,850,447,507,162,942,169,190,878,484,033,489,851,545,477,944,
849,592,378,212,161,983,066,906,690,307,872,512,649,056,411,492,816,941,329,
260,540,843,727,260,857,558,403,939,943,171,025,036,210,696,089,296,857,800,
922,412,582,304,624,477,709,287,353,479,557,606,982,692,912,477,115,114,009,
665,655,579,578,196,276,138,143,641,024,503,772,910,038,000,976,483,979,633,
186,415,718,111,834,837,693,214,861,355,563,831,507,140,283,011,079,308,477,
972,568,031,651,293,229,153,299,887,183,590,903,742,223,414,205,623,601,945,
728,584,748,477,864,074,492,037,671,765,923,403,332,492,853,676,439,211,265,
236,080,948,359,434,893,154,367,160,959,258,009,530,970,288,675,420,226,090,
892,794,301,168,120,699,171,201,131,384,278,949,898,352,623,106,440,041,382,
672,294,535,114,799,983,869,742,034,104,831,646,319,727,098,655,626,107,861,
594,260,695,191,673,502,287,247,952,654,849,210,198,002,773,683,636,910,377,
335,577,258,475,723,719,526,016,813,593,515,160,865,179,241,381,528,840,882,
225,245,208,797,829,858,252,826,359,539,330,049,697,565,322,501,482,457,128,
708,075,959,680,287,203,017,619,147,413,290,294,173,855,467,092,567,509,232,
081,248,727,836,401,369,945,990,488,887,208,231,504,189,785,726,537,100,300,
315,651,696,868,193,949,687,133,981,620,959,186,123,274,966,604,028,681,325,
418,023,319,286,387,716,711,617,120,899,980,832,243,961,802,123,943,988,976,
467,998,171,751,795,695,980,857,732,686,217,306,566,775,219,870,461,715,352,
570,809,673,795,694,159,387,251,675,568,774,731,493,796,572,535,906,476,227,
190,836,766,355,591,299,453,218,067,329,542,208,986,302,344,706,508,236,998,
138,641,423,491,519,147,803,789,891,966,416,960,133,156,239,983,003,639,070,
291,713,370,164,087,320,880,963,943,290,373,829,714,644,823,269,843,205,268,
275,114,090,636,524,995,797,149,142,593,391,924,133,309,323,004,860,183,234,
472,326,242,394,791,297,681,728,752,453,301,808,385,751,778,424,609,043,462,
743,835,346,887,302,351,002,997,678,360,660,865,202,993,783,387,570,498,629,
260,797,893,665,439,183,340,636,650,283,780,912,657,016,006,232,320,922,142,
452,057,922,150,841,004,800,330,708,172,930,245,418,978,513,009,525,164,841,
573,902,595,468,604,096,681,094,722,415,801,656,799,029,523,172,271,886,052,
163,043,805,765,053,383,503,952,612,796,903,053,320,928,491,480,252,404,124,
750,754,522,252,353,772,312,323,726,982,672,430,717,726,879,203,867,582,751,
401,818,704,855,897,554,848,022,028,257,905,664,173,655,019,848,430,100,420,
392,724,779,269,706,460,864,074,620,770,858,371,591,165,300,689,380,774,740,
741,472,425,851,622,261,209,975,588,257,520,199,769,937,874,841,775,377,578,
772,391,763,909,588,341,140,986,570,064,641,605,253,885,410,302,071,018,556,
791,431,680,015,795,026,642,797,486,079,916,441,810,330,808,081,916,681,884,
055,979,530,234,301,995,537,925,941,176,645,941,329,442,236,929,738,848,063,
677,712,531,245,991,312,403,975,614,694,131,541,196,391,702,539,333,888,570,
373,585,610,130,479,898,791,051,238,253,530,185,959,559,156,231,644,078,961,
296,707,300,927,401,947,988,749,020,699,412,072,861,135,687,117,325,092,052,
034,350,172,436,001,362,668,412,250,814,397,810,470,164,283,626,135,179,103,
223,167,250,074,073,630,996,170,394,067,547,841,384,739,585,053,178,914,468,
437,816,436,088,879,045,175,960,410,764,806,890,743,775,645,546,344,246,169,
173,958,593,854,175,281,721,054,047,709,472,303,132,454,599,215,224,172,580,
049,479,245,604,117,892,764,316,448,598,584,254,969,358,271,555,998,798,149,
680,353,209,191,731,683,129,722,783,702,503,405,689,276,679,798,888,782,272,
162,266,546,473,377,993,919,209,558,067,670,208,859,881,005,309,730,381,574,
787,192,979,204,862,409,315,383,865,028,381,899,167,920,747,005,116,180,565,
899,243,600,151,447,238,088,815,952,748,282,548,419,834,557,370,136,916,283,
068,215,954,326,901,842,124,134,581,514,939,286,370,471,313,376,148,909,847,
213,736,933,074,231,863,427,952,639,796,566,449,460,010,691,360,171,381,663,
846,719,160,809,312,760,020,194,662,323,169,686,755,119,481,435,718,118,666,
434,338,150,150,019,559,723,822,153,322,868,288,402,900,589,608,970,097,029,
876,846,195,025,282,893,428,701,854,988,641,824,624,674,153,928,655,653,358,
314,304,837,283,499,115,164,004,273,416,605,273,449,376,335,473,065,275,345,
043,627,442,195,350,286,717,790,719,605,832,601,842,530,923,902,279,427,574,
662,371,051,410,846,312,880,408,785,115,970,855,342,888,659,454,546,014,216,
974,962,792,579,242,072,849,219,960,779,345,502,200,198,698,510,407,388,298,
461,685,389,512,927,678,992,350,173,452,506,059,579,144,579,828,011,104,003,
173,988,178,346,885,550,331,476,177,949,923,142,986,883,315,912,500,528,086,
199,345,803,297,962,091,803,750,257,886,233,012,072,558,508,749,327,824,720,
243,544,839,221,026,253,141,760,267,098,849,872,564,221,445,894,204,338,717,
128,022,118,047,930,008,876,477,026,300,522,185,366,054,895,793,018,173,905,
791,262,649,972,947,689,733,163,918,173,105,067,893,321,468,135,483,559,420,
913,407,337,129,222,035,199,898,301,315,291,630,497,266,274,077,830,897,225,
122,060,574,268,482,394,312,556,872,048,394,339,856,895,987,592,925,111,972,
088,873,974,942,892,888,710,654,310,876,374,972,297,573,760,666,938,827,978,
937,704,406,997,059,560,263,683,951,625,377,152,731,378,026,758,096,759,617,
545,348,904,944,509,590,093,242,919,358,182,048,947,443,030,594,823,013,471,
092,802,848,862,799,526,439,253,761,196,374,211,168,643,928,529,146,336,510,
604,399,814,576,533,368,704,575,141,772,982,548,725,181,299,397,059,231,662,
593,520,355,772,122,212,655,436,582,625,576,345,216,581,962,843,055,199,277,
075,518,499,026,631,812,670,240,977,123,498,408,798,571,433,201,479,755,709,
571,747,446,656,693,411,249,324,688,632,711,141,012,300,053,387,928,380,507,
985,849,338,140,363,919,569,253,332,975,097,979,015,285,212,891,614,913,383,
523,381,920,592,122,152,209,096,210,870,955,005,114,089,315,487,945,131,197,
203,827,584,434,457,222,514,504,960,885,636,490,287,340,780,005,212,895,166,
263,626,593,815,212,949,745,024,543,684,158,246,309,192,070,248,700,008,034,
138,934,390,760,017,612,803,311,248,387,010,544,047,972,326,666,104,371,282,
859,453,168,446,045,710,500,773,157,009,850,135,159,114,207,565,028,504,279,
442,107,405,190,115,010,599,793,279,747,604,341,757,350,304,500,210,565,322,
655,372,511,615,211,322,241,719,316,101,400,131,767,866,468,160,003,364,935,
854,912,009,152,273,659,185,488,731,835,872,538,834,443,260,572,145,893,415,
804,423,536,705,396,175,602,480,816,462,280,299,183,775,515,245,635,404,735,
232,453,816,257,440,780,931,080,084,407,511,252,197,036,812,160,764,324,850,
427,025,579,741,378,297,511,292,148,064,080,482,317,282,876,672,258,864,200,
020,013,189,762,379,154,019,300,093,014,460,328,901,533,891,004,462,155,385,
651,708,795,237,935,855,670,549,643,897,297,502,083,846,712,295,280,730,377,
406,867,530,860,055,659,959,380,150,725,620,137,360,504,998,744,310,478,527,
146,730,073,683,520,009,977,758,320,707,361,387,503,659,951,668,986,304,976,
247,188,837,334,975,971,712,905,268,521,904,771,326,006,698,755,325,821,544,
907,501,320,576,453,261,637,464,130,973,232,799,844,246,281,826,679,054,568,
805,309,330,124,873,923,145,745,014,346,458,125,393,480,259,292,406,488,169,
805,133,122,332,793,587,561,114,819,827,113,954,661,140,302,738,967,511,847,
830,385,732,545,081,329,251,550,761,558,345,223,443,576,570,843,954,466,172,
623,363,771,905,271,287,881,630,523,540,649,464,279,859,278,859,028,348,714,
964,991,399,862,783,876,233,242,948,245,495,099,748,827,399,662,335,818,226,
459,780,951,709,617,696,502,200,124,880,225,554,277,809,211,170,071,104,083,
538,170,661,008,191,979,832,208,427,776,478,892,081,348,552,133,536,039,207,
073,949,007,611,010,412,990,512,091,510,281,290,752,239,833,108,028,395,638,
993,816,151,986,789,733,213,984,132,023,141,876,378,101,364,786,662,467,173,
101,781,489,140,742,949,613,025,368,454,240,280,671,876,461,448,592,643,476,
609,690,397,862,150,903,155,628,687,880,741,114,209,336,817,309,460,891,828,
142,602,059,794,617,836,425,365,706,940,913,109,163,392,037,975,567,878,812,
107,368,759,045,406,180,832,437,305,659,835,525,439,113,879,841,077,424,409,
868,913,033,480,606,481,797,531,419,322,890,057,727,811,602,506,192,298,512,
801,147,709,857,690,518,332,399,849,899,954,315,967,877,009,122,189,221,783,
161,535,213,844,117,111,627,296,314,467,531,973,358,108,457,075,607,285,476,
338,442,931,801,092,925,302,911,528,881,997,178,001,657,512,772,939,747,641,
146,869,782,982,351,732,843,107,481,583,555,212,710,190,523,173,146,202,757,
248,925,533,095,396,305,807,775,210,934,986,274,328,509,199,916,942,796,322,
299,621,424,341,168,726,093,552,579,350,487,765,579,303,670,451,514,894,467,
133,618,625,407,482,659,986,271,539,329,330,817,883,293,665,729,237,889,091,
374,293,895,082,821,546,889,543,963,853,022,604,019,266,327,704,350,173,396,
771,827,556,662,584,643,458,204,481,587,193,443,046,196,709,539,099,597,445,
809,137,739,300,149,278,119,753,147,011,725,672,104,157,289,052,323,494,125,
339,209,547,874,835,152,485,260,834,049,364,160,060,087,905,348,455,561,380,
123,398,629,402,911,117,296,975,919,391,698,597,122,186,584,913,196,449,539,
171,047,929,164,996,252,925,540,480,268,509,981,615,977,237,143,489,114,618,
713,971,242,525,712,248,834,223,880,016,416,510,008,931,102,022,407,151,743,
692,746,159,985,482,254,855,219,575,123,233,924,993,440,878,977,096,559,777,
717,797,405,046,931,573,448,339,447,456,888,397,936,694,676,517,182,379,488,
313,128,243,077,221,659,543,699,241,220,954,319,947,129,488,964,794,913,104,
674,695,887,036,390,040,616,940,073,071,843,998,438,767,967,305,056,538,090,
300,340,832,674,781,797,883,039,173,385,207,925,220,424,438,964,997,320,221,
730,333,237,541,068,573,365,621,689,046,292,929,729,655,469,914,692,739,050,
460,397,345,656,715,015,102,071,490,807,726,068,874,196,831,595,756,200,607,
447,999,682,837,627,241,598,180,324,461,728,997,723,486,233,811,126,208,744,
090,677,691,505,891,607,975,342,627,514,704,876,397,064,388,245,334,269,289,
617,310,564,409,088,395,186,033,180,247,152,105,019,072,880,578,484,015,876,
465,379,665,305,145,547,781,949,818,689,317,621,104,017,311,111,610,423,736,
871,869,985,348,658,139,587,259,712,669,090,824,779,599,967,165,509,497,457,
017,045,234,012,200,262,633,358,658,499,845,549,046,582,922,202,681,520,908,
904,657,186,007,840,819,748,415,180,040,258,525,170,066,809,936,289,391,813,
171,384,813,664,352,925,578,402,029,840,340,602,360,018,641,009,292,209,584,
056,739,031,349,779,189,049,419,421,206,773,049,382,244,758,347,850,319,073,
129,986,501,455,467,757,345,049,888,873,963,336,843,577,189,173,591,900,935,
420,986,089,003,481,688,479,809,886,511,193,200,272,160,048,546,501,485,582,
993,074,302,743,827,296,064,034,522,537,618,049,253,860,195,732,709,987,919,
810,401,311,700,486,329,705,047,679,216,386,377,453,854,695,902,219,594,339,
907,044,210,905,210,478,333,277,321,653,385,251,476,904,198,964,316,922,704,
134,737,598,457,836,362,343,369,097,607,825,238,619,992,516,439,916,529,432,
633,895,969,220,874,235,257,363,959,012,064,783,568,304,761,272,373,946,153,
123,370,044,663,018,471,846,625,474,395,524,785,829,741,542,623,351,540,663,
126,133,026,274,605,359,194,090,295,775,642,642,392,301,216,256,536,381,040,
476,472,520,002,475,183,462,288,596,818,690,632,825,477,030,558,616,221,254,
829,711,802,188,171,622,319,804,740,169,171,234,149,493,820,180,793,279,995,
923,904,152,085,393,969,587,035,652,377,700,131,183,011,107,877,542,305,941,
428,757,454,489,219,080,808,744,169,233,096,910,721,514,219,006,427,886,943,
739,181,050,976,864,685,230,530,754,787,714,278,176,990,910,742,227,790,213,
110,002,630,691,628,994,714,350,783,088,590,142,264,212,082,254,157,846,569,
775,509,074,982,913,969,480,254,416,754,014,452,540,855,965,586,979,966,385,
926,284,740,543,377,063,065,309,372,662,154,091,425,400,617,328,075,122,387,
668,484,492,858,244,300,551,166,164,813,397,407,953,585,084,663,282,703,993,
779,548,115,060,799,090,367,532,403,949,058,757,041,179,318,074,841,944,155,
640,451,318,336,856,636,535,233,019,342,837,296,755,677,579,928,005,279,466,
229,726,258,376,546,365,869,546,947,911,032,152,539,378,938,917,796,699,918,
847,230,048,545,425,619,605,560,686,520,870,763,973,216,466,086,131,747,306,
025,711,019,332,119,016,463,583,230,040,099,926,549,536,403,176,042,833,003,
418,341,060,072,475,424,373,493,863,146,637,715,160,896,440,987,945,325,039,
444,939,259,141,267,941,692,135,038,968,943,291,723,028,097,755,874,389,353,
078,665,366,905,483,759,889,047,446,730,039,193,008,668,547,755,050,156,086,
140,445,819,706,973,259,107,377,796,760,445,159,898,830,973,206,941,441,414,
666,975,664,711,160,592,319,490,761,315,832,301,332,123,766,757,798,746,803,
844,508,262,097,947,721,764,365,708,262,938,624,575,408,888,906,929,309,702,
982,026,196,194,446,176,002,200,699,283,760,464,617,884,428,579,961,982,390,
835,626,061,518,378,407,484,726,919,024,160,246,755,741,521,902,813,910,266,
526,451,914,181,859,915,025,769,434,949,919,989,927,748,796,703,641,300,629,
702,773,667,262,115,167,169,864,680,692,990,138,066,790,130,477,433,269,844,
072,644,389,579,826,336,540,669,627,307,533,271,338,515,269,447,153,858,835,
450,405,582,852,058,036,429,113,375,931,510,195,200,859,326,221,049,903,527,
265,036,672,111,907,322,146,749,814,759,609,215,553,523,466,799,575,871,128,
229,068,011,394,533,060,736,134,672,825,224,161,934,358,948,324,578,296,928,
198,907,372,912,840,579,172,571,643,229,670,678,282,656,372,673,396,846,652,
250,135,046,757,147,962,994,587,891,926,388,500,586,500,157,944,448,612,369,
486,645,913,113,108,419,635,791,622,529,756,352,333,847,448,963,597,006,566,
309,201,968,567,760,837,133,159,109,290,766,717,145,942,108,172,731,726,476,
792,027,718,961,609,563,996,076,793,041,728,981,892,086,517,359,832,529,034,
465,942,556,906,618,597,663,654,645,958,131,513,152,808,497,290,336,540,559,
133,277,881,346,570,651,015,251,306,935,603,196,207,313,494,614,167,120,084,
901,194,610,862,911,692,149,579,808,032,260,102,254,946,913,443,407,518,219,
120,982,675,307,825,404,348,469,933,883,415,849,734,977,388,902,786,586,698,
389,219,778,256,756,043,580,776,339,114,104,442,009,269,105,841,225,435,850,
609,867,670,620,060,126,370,220,447,200,182,798,162,564,203,040,232,977,222,
759,838,235,936,692,855,027,787,232,567,986,727,314,355,999,614,181,433,638,
164,660,226,243,944,771,650,319,896,105,700,201,196,754,585,054,929,864,472,
612,536,373,157,063,215,226,344,903,914,093,686,665,215,520,155,593,345,751,
106,390,347,871,588,100,314,873,457,584,042,501,527,966,274,785,539,201,467,
361,552,354,953,495,374,104,743,901,216,943,275,489,783,498,833,401,049,364,
236,920,632,684,648,322,710,765,148,721,194,871,686,715,398,773,139,313,383,
647,661,074,196,698,480,292,763,373,614,935,823,692,089,147,118,124,591,486,
538,612,552,839,417,263,146,914,686,231,336,896,552,275,630,570,476,850,033,
948,354,948,047,215,775,038,687,416,990,852,222,707,139,083,791,026,364,074,
005,333,220,461,044,389,037,063,400,594,574,181,544,333,506,480,881,798,556,
542,394,721,814,062,638,794,602,362,885,669,064,034,402,053,167,792,083,201,
739,878,666,213,516,769,564,334,822,986,908,401,471,176,177,438,854,083,821,
022,341,767,155,927,715,504,000,765,972,997,011,675,030,290,405,013,009,270,
485,281,266,458,567,920,859,860,142,675,777,029,512,518,265,652,715,653,233,
397,745,463,001,836,026,974,891,392,939,839,126,317,125,632,717,677,894,961,
686,153,301,500,579,549,356,053,696,182,309,690,482,429,233,420,091,224,417,
679,843,764,631,215,171,788,623,964,588,904,550,631,830,779,044,883,468,598,
064,434,969,122,892,818,831,626,210,307,722,099,726,586,199,306,178,910,666,
129,945,318,095,689,229,019,348,490,184,231,433,838,447,539,366,211,142,663,
159,334,939,068,607,191,985,798,302,394,973,062,785,252,267,904,313,992,893,
516,246,777,879,409,324,484,716,777,044,313,473,523,312,536,777,129,282,380,
324,296,869,194,473,095,863,613,723,166,496,448,217,694,469,816,795,359,949,
709,894,883,533,909,538,176,528,652,116,542,397,067,508,790,855,450,976,542,
763,041,443,878,722,413,925,095,414,536,317,039,738,604,257,337,006,719,114,
141,155,826,295,869,873,983,233,753,036,571,717,751,515,245,097,813,436,731,
322,594,457,555,833,842,502,061,923,867,945,046,156,454,551,477,047,491,434,
393,157,509,875,932,375,829,207,791,740,976,515,609,833,371,742,709,270,268,
648,883,552,544,358,285,686,398,405,318,671,196,930,047,511,891,049,095,562,
118,983,921,096,422,836,081,133,003,536,489,444,130,153,956,047,149,709,061,
555,180,170,615,112,066,882,203,615,167,830,315,406,814,260,723,337,704,924,
426,602,246,176,414,182,490,685,006,202,576,395,919,807,008,722,354,499,491,
534,544,762,429,181,181,972,210,777,738,830,900,551,500,729,580,997,319,653,
427,339,248,852,491,228,418,100,403,032,350,758,083,899,095,421,091,746,132,
958,857,392,530,165,343,715,103,797,813,912,161,049,978,829,367,760,719,793,
595,599,595,879,716,098,845,982,307,070,273,209,284,175,881,054,692,550,080,
628,995,440,349,452,156,435,232,139,855,174,143,269,573,601,684,450,201,144,
602,656,144,819,307,188,214,964,501,601,544,975,321,830,333,598,839,081,494,
739,381,077,623,402,216,631,264,215,089,705,507,057,279,911,274,191,927,012,
561,825,740,258,190,822,459,307,815,118,629,226,601,069,745,011,197,112,602,
783,581,792,149,766,642,282,810,312,504,961,202,608,632,256,501,600,166,835,
393,108,738,801,660,258,228,115,381,514,954,102,824,967,490,722,843,590,935,
725,614,608,323,888,423,515,657,492,908,795,939,043,487,889,248,424,732,151,
299,642,652,715,836,812,381,234,065,406,998,859,635,616,383,151,801,778,400,
078,584,964,619,938,724,826,212,284,806,444,543,264,769,412,406,318,258,070,
963,146,984,790,998,334,584,568,682,093,553,418,213,519,390,799,969,959,183,
360,809,824,104,509,462,814,607,524,039,079,549,227,561,287,759,658,483,429,
521,625,301,177,329,436,751,507,684,750,633,670,852,561,741,553,754,990,645,
748,607,906,637,820,995,187,416,223,633,852,486,421,763,216,422,376,902,911,
846,147,865,433,995,069,888,864,614,419,575,083,314,960,232,741,214,364,956,
459,671,008,783,412,974,028,830,084,011,413,331,434,021,973,895,002,003,760,
886,412,942,503,962,768,458,063,743,660,044,297,402,610,779,305,949,495,981,
312,128,906,995,392,300,130,787,071,596,840,526,772,165,308,829,675,403,796,
532,380,611,593,263,507,671,677,654,450,862,208,032,501,959,457,829,250,803,
007,258,988,668,697,716,484,664,920,808,189,519,713,567,657,574,389,048,005,
320,717,601,811,087,842,210,442,955,490,926,095,754,119,083,091,525,672,620,
079,185,395,541,958,711,578,612,443,288,585,687,236,506,273,670,917,172,610,
976,561,850,783,835,389,602,783,014,592,476,947,172,086,362,041,276,037,341,
328,046,456,364,082,969,185,305,204,637,555,526,479,886,161,657,295,492,173,
338,746,491,825,937,635,267,556,743,965,105,801,477,652,265,873,745,065,692,
295,602,518,937,910,626,596,691,798,004,352,795,083,743,210,364,228,180,695,
827,648,568,224,760,959,800,924,256,646,420,701,637,052,403,698,152,559,538,
411,193,830,416,483,690,795,285,036,179,099,633,032,596,671,481,886,692,163,
667,432,031,265,547,277,466,554,637,030,818,655,401,658,990,917,261,135,449,
528,131,680,954,633,623,611,973,631,539,735,766,193,996,830,466,735,732,730,
279,142,326,310,775,888,612,480,567,589,942,051,866,554,941,849,172,457,716,
652,443,514,075,240,381,215,292,733,633,585,501,873,989,794,361,924,447,118,
661,021,066,557,285,124,967,077,129,629,727,324,607,528,670,703,523,859,689,
667,819,873,548,679,754,884,557,853,338,189,598,197,674,341,938,424,941,071,
576,371,372,032,123,035,477,116,841,458,997,223,704,334,053,058,392,480,573,
521,008,876,106,333,435,725,911,635,299,595,805,128,753,505,137,806,820,556,
774,463,384,387,562,068,874,151,027,811,392,999,330,247,524,526,207,213,245,
343,790,888,065,874,071,389,579,090,580,764,463,265,854,713,393,538,177,268,
507,995,569,113,421,528,449,394,137,130,860,922,563,321,344,536,735,985,755,
165,126,484,618,987,527,982,995,571,003,777,337,374,442,910,557,760,073,410,
725,076,391,932,731,048,002,918,712,096,980,963,847,081,797,423,236,801,958,
685,109,662,972,290,176,460,273,965,839,563,058,110,177,020,106,717,317,402,
059,027,356,290,263,681,886,917,706,434,854,287,098,386,343,210,145,619,521,
143,726,324,422,130,527,806,119,879,473,347,838,915,090,227,284,645,081,039,
597,468,498,113,444,451,950,836,661,106,493,390,221,911,039,297,331,442,274,
753,958,754,974,135,919,450,885,786,675,796,235,262,461,638,416,935,370,376,
610,596,450,464,121,533,025,678,929,719,705,610,652,309,853,710,177,359,430,
079,042,625,168,494,336,312,128,301,510,316,063,116,621,348,748,387,310,865,
899,378,978,220,644,378,670,081,468,927,315,175,693,669,709,769,588,300,247,
593,288,979,534,246,397,449,437,339,585,380,385,328,039,376,733,514,138,258,
086,981,888,615,735,712,864,368,711,706,703,885,674,250,477,346,537,753,178,
030,635,035,223,068,537,050,400,767,639,930,483,496,539,657,900,646,367,735,
814,513,079,583,908,160,266,543,578,886,659,209,182,469,246,465,276,463,154,
748,690,059,542,763,726,345,391,287,805,225,685,193,085,698,273,331,604,014,
369,665,210,793,984,821,029,608,625,001,143,046,575,410,191,638,483,399,357,
871,452,949,029,048,858,431,792,539,027,737,355,025,404,642,043,252,597,611,
114,882,390,163,968,125,508,974,716,066,190,671,202,102,028,975,943,296,350,
461,040,936,435,968,520,646,745,274,317,048,304,221,338,724,196,368,802,196,
448,520,756,665,386,675,458,113,611,169,405,433,771,263,517,145,084,642,225,
489,132,621,105,291,732,526,799,072,171,818,291,088,153,537,868,370,880,853,
967,134,108,889,455,960,203,280,956,684,921,945,583,783,438,019,079,762,432,
112,919,071,576,281,810,983,662,156,418,448,861,307,958,782,066,017,375,938,
183,470,342,600,748,461,308,795,896,676,733,871,008,963,906,380,519,223,644,
880,951,618,051,183,146,607,817,058,956,519,020,704,748,850,491,722,141,382,
316,817,899,444,256,424,696,277,870,180,379,496,070,293,036,739,446,601,389,
580,212,230,586,247,449,873,531,356,242,176,169,971,598,347,528,887,861,104,
159,055,414,514,590,234,343,926,720,199,319,407,125,383,679,542,350,748,720,
851,724,051,287,448,239,870,738,704,729,418,078,697,541,924,597,050,098,369,
034,292,027,510,706,013,567,017,995,422,872,807,540,105,720,298,943,945,278,
032,918,213,861,181,306,378,376,109,195,941,802,401,989,323,709,861,119,614,
077,526,660,289,656,496,027,121,939,310,312,545,016,249,274,201,740,843,958,
191,196,260,932,409,207,525,411,998,518,084,514,939,549,583,206,623,478,311,
950,353,478,500,164,163,286,401,056,567,953,321,272,693,221,956,462,896,697,
754,085,200,811,172,432,366,528,909,688,126,339,832,238,739,693,654,141,921,
851,807,670,327,087,376,856,832,362,226,417,896,281,549,397,023,572,608,779,
478,429,786,516,808,791,430,463,810,832,586,983,918,661,967,658,877,018,611,
743,992,746,978,472,590,093,764,418,709,800,211,361,511,956,043,020,455,621,
498,573,501,193,397,970,627,924,593,200,639,850,499,017,268,005,889,669,581,
439,228,406,431,155,938,855,998,378,564,091,016,623,515,934,093,514,515,322,
267,642,260,070,242,279,626,472,747,547,284,127,090,232,954,849,740,705,890,
128,706,135,856,314,861,985,527,196,362,374,944,834,272,270,605,709,388,796,
378,853,310,425,643,074,948,922,806,477,269,273,270,572,610,243,675,170,087,
575,541,877,180,696,544,340,624,141,270,444,270,007,483,093,236,903,518,424,
578,106,648,645,230,390,751,049,829,329,951,102,232,581,109,449,691,610,474,
969,343,237,454,843,608,685,962,639,071,944,466,740,440,906,068,057,250,378,
414,620,784,241,818,775,390,303,290,909,521,105,985,263,980,870,043,017,285,
285,843,234,729,189,689,161,469,635,322,859,194,673,955,170,854,918,628,847,
833,263,361,432,820,516,493,288,848,960,104,916,760,550,564,439,770,228,517,
011,386,016,956,021,813,918,500,015,620,108,002,106,163,241,430,576,890,059,
268,872,582,137,363,479,740,892,934,617,720,092,713,232,492,719,625,067,451,
421,150,392,516,530,706,458,639,722,754,134,911,174,051,133,404,893,128,209,
583,965,207,658,388,582,249,565,081,255,186,780,739,754,145,059,182,424,010,
841,500,975,471,387,685,651,588,248,826,012,627,057,606,585,611,829,522,236,
005,950,787,004,638,309,842,001,244,327,977,673,461,880,601,788,537,860,729,
332,401,619,044,141,298,250,955,403,622,758,745,931,281,986,976,833,149,861,
500,561,467,581,624,576,938,388,503,628,987,636,970,212,406,417,515,159,715,
853,366,225,071,325,424,033,119,516,847,748,424,181,169,945,397,428,532,998,
949,620,001,747,713,141,173,772,765,861,398,491,327,917,897,012,480,361,275,
829,106,747,648,591,393,678,405,861,833,563,530,240,515,515,822,028,970,495,
592,841,880,587,789,977,336,303,379,044,490,605,890,552,144,933,891,896,570,
266,964,347,690,039,435,104,151,353,210,731,075,215,314,463,516,013,654,172,
367,550,418,324,744,567,259,927,344,954,506,845,811,008,257,332,390,339,183,
115,341,541,327,080,402,978,792,708,075,637,837,879,526,785,231,502,328,806,
418,549,750,345,143,696,548,804,059,554,553,794,678,047,776,195,499,246,635,
412,781,439,874,520,115,328,211,622,233,986,920,833,270,028,455,036,110,951,
618,123,407,296,696,494,949,062,533,760,764,603,914,545,066,531,560,142,200,
869,037,629,594,231,630,700,792,793,615,672,709,200,542,386,533,057,110,095,
294,642,414,090,128,033,572,471,380,805,519,389,498,717,711,434,638,525,799,
532,153,130,513,053,073,546,655,712,101,974,686,325,048,619,359,662,858,037,
511,865,329,721,450,552,476,697,658,942,957,621,862,873,793,722,165,541,274,
092,812,858,252,785,995,846,070,415,415,971,247,736,453,411,281,680,940,661,
844,837,923,408,133,811,679,052,161,626,764,577,414,620,536,709,187,263,325,
927,544,508,920,781,503,311,247,839,017,223,828,021,708,685,473,692,801,962,
885,626,312,913,288,326,295,801,410,843,501,469,962,905,325,989,687,833,043,
995,646,078,579,217,709,461,459,830,056,460,704,527,518,015,567,622,639,119,
386,850,869,921,727,655,625,363,447,154,627,826,758,099,491,923,582,941,126,
080,271,932,909,913,191,902,504,644,091,407,236,104,764,129,640,565,648,790,
399,179,354,460,275,030,426,016,183,344,961,246,628,739,404,655,812,529,556,
647,217,421,474,280,933,664,435,823,060,387,851,786,815,849,900,808,001,201,
980,827,674,412,973,979,355,997,197,981,345,832,576,850,194,503,178,714,944,
681,670,810,342,225,236,505,502,444,000,601,329,489,007,980,314,252,796,612,
010,739,955,067,560,870,146,503,015,581,681,079,741,129,838,794,327,267,531,
356,171,305,379,649,002,830,187,737,416,863,941,124,444,939,413,813,312,320,
100,285,542,821,218,422,456,307,885,721,968,572,541,863,062,099,846,708,582,
698,069,704,273,879,507,352,633,084,654,993,181,329,564,351,743,820,098,303,
788,034,247,199,139,208,858,251,958,897,062,932,723,347,464,650,971,613,558,
821,597,048,083,534,706,409,134,130,674,536,708,424,607,847,371,719,560,951,
664,465,317,909,001,552,000,214,911,024,167,401,912,440,886,102,653,990,744,
325,043,006,300,598,951,957,607,562,826,067,902,114,460,819,502,695,504,765,
052,782,578,873,942,689,563,663,325,716,515,796,938,631,806,191,376,314,472,
894,083,919,951,769,681,779,059,557,085,058,067,526,111,598,357,509,895,006,
157,060,543,248,851,724,126,723,671,947,194,026,781,307,564,482,339,737,713,
635,484,112,130,619,238,241,256,336,139,543,844,459,535,564,094,178,821,184,
426,042,738,175,828,921,493,245,245,783,571,462,780,090,951,252,283,680,738,
508,932,286,589,771,098,844,217,198,316,236,428,838,314,603,812,459,389,013,
786,918,123,107,593,222,198,042,449,252,154,140,069,593,378,402,379,633,521,
947,851,327,778,123,395,436,247,531,056,977,010,759,330,421,676,110,778,924,
938,288,154,065,201,521,509,676,915,717,463,101,276,268,553,191,443,652,091,
013,185,520,521,230,145,701,269,831,634,052,511,800,673,901,170,674,504,530,
324,802,029,186,557,632,962,653,623,824,756,228,857,399,968,541,188,780,146,
669,959,809,591,514,623,428,020,478,593,349,468,158,552,153,885,960,752,879,
071,299,994,679,217,665,159,203,608,613,600,107,151,274,683,926,097,073,476,
637,791,746,916,524,256,904,475,652,845,344,946,298,603,533,359,554,321,677,
270,996,025,806,789,304,234,157,275,653,155,595,487,171,180,407,583,769,798,
407,226,643,861,090,791,389,507,598,080,449,287,303,799,969,878,729,169,594,
823,141,369,570,811,883,556,897,254,798,046,693,198,901,083,531,288,628,449,
388,519,928,505,487,240,900,924,493,787,408,268,601,311,035,873,191,805,323,
218,341,170,438,363,409,401,189,442,280,592,581,073,912,183,332,618,618,087,
167,737,951,320,039,571,297,324,115,461,286,738,547,686,556,401,568,381,366,
506,622,027,665,315,049,169,495,593,787,507,627,794,605,716,682,695,701,889,
729,249,957,757,189,481,888,544,498,478,358,283,548,826,816,956,645,680,304,
087,917,725,692,709,896,661,127,437,213,594,170,490,676,879,085,734,227,341,
414,695,665,862,268,705,888,719,909,453,597,666,192,725,135,052,949,205,886,
181,033,221,301,276,533,427,563,093,580,279,896,431,746,458,825,820,216,196,
410,288,100,507,610,490,129,768,310,682,650,858,958,442,098,386,264,905,181,
954,407,780,942,842,277,974,985,466,224,358,361,123,626,213,458,469,333,832,
908,521,716,314,538,381,047,796,395,072,455,629,691,747,076,244,788,815,364,
440,474,414,983,780,321,413,046,749,879,262,862,194,548,783,301,430,433,194,
517,934,274,486,305,280,764,209,635,024,367,843,202,496,885,704,313,042,030,
882,388,203,052,213,034,260,939,768,157,325,558,266,799,636,310,959,887,665,
385,923,385,779,305,479,610,867,260,717,358,039,380,393,311,949,536,400,915,
869,785,940,783,900,760,405,025,197,765,596,823,638,593,027,417,063,980,635,
503,860,379,412,514,582,285,633,914,807,148,507,327,488,381,454,934,964,427,
347,068,032,126,677,635,686,995,469,631,769,687,204,176,646,551,864,627,149,
573,717,511,084,827,763,845,718,117,732,418,032,938,231,619,387,975,917,490,
461,180,730,877,837,732,715,815,172,617,626,839,016,492,547,535,127,739,858,
439,762,185,754,679,197,161,284,058,374,137,062,446,154,550,844,692,583,709,
564,422,450,999,730,019,615,043,817,708,589,192,749,496,380,404,399,275,474,
443,508,914,711,332,221,418,956,316,753,131,012,246,594,266,736,327,661,193,
861,408,448,774,718,758,816,404,660,668,724,610,723,789,882,785,838,050,117,
538,339,679,687,549,101,622,114,496,438,442,970,552,717,023,816,140,155,193,
300,426,348,426,272,022,093,006,468,913,515,046,777,530,867,688,140,711,461,
175,271,697,455,927,743,491,592,643,196,140,581,286,643,251,229,099,932,441,
690,714,070,135,415,092,322,547,756,433,989,632,729,936,474,650,960,566,942,
017,565,420,141,105,011,563,679,284,876,157,427,059,442,604,737,748,845,275,
598,339,292,400,416,012,187,187,291,570,643,527,222,801,251,174,334,537,277,
477,697,466,274,120,612,537,104,805,757,919,311,026,516,509,211,376,048,547,
064,588,425,797,696,571,188,876,226,366,640,797,308,381,045,831,393,002,567,
700,186,522,799,588,650,838,398,777,251,753,352,350,019,812,500,598,753,542,
235,083,663,959,227,680,959,332,998,359,264,578,909,668,228,811,776,610,169,
967,703,025,145,856,791,911,964,430,371,857,120,941,288,239,611,551,896,589,
769,229,507,345,627,987,090,978,500,634,056,630,535,185,056,651,820,986,459,
421,184,981,765,905,336,934,044,798,835,063,122,802,617,951,775,870,106,948,
608,902,063,227,128,753,630,683,623,157,782,098,112,213,322,234,320,624,939,
224,471,456,278,458,014,633,883,148,467,790,719,996,791,491,423,298,581,791,
417,508,180,183,624,286,257,651,466,158,516,324,971,768,966,970,883,884,811,
328,478,471,946,592,141,727,636,857,665,446,833,893,555,190,207,134,690,602,
550,437,528,824,960,423,030,499,320,336,819,230,064,180,266,975,727,250,519,
921,105,940,389,648,218,913,929,046,957,506,675,897,033,380,479,020,213,618,
676,494,755,883,617,309,389,803,371,029,657,638,996,583,133,326,553,207,075,
629,479,172,304,542,749,942,498,221,069,657,224,770,282,344,369,892,636,660,
661,712,588,448,962,871,870,967,673,502,002,088,649,105,473,440,255,016,550,
239,558,044,162,117,578,075,549,855,358,594,678,664,024,525,668,299,903,169,
973,061,855,762,273,432,197,129,704,577,258,850,459,746,033,348,988,543,964,
976,210,224,541,215,818,401,870,614,687,207,987,775,972,829,406,123,602,429,
147,426,519,863,503,379,205,836,686,048,229,804,199,982,220,946,637,226,240,
791,435,684,080,528,582,129,685,040,696,073,784,010,095,870,169,929,298,543,
100,794,623,718,680,315,390,758,851,981,832,505,202,363,033,411,461,781,325,
063,226,712,791,012,020,386,086,001,967,868,996,787,814,688,819,248,977,433,
138,456,442,032,464,328,335,759,742,114,315,290,107,691,767,422,286,411,254,
672,660,740,644,594,197,760,720,307,459,760,484,515,667,966,925,157,024,979,
893,735,172,023,550,321,632,420,076,373,659,522,347,586,770,266,385,709,685,
190,826,357,334,637,516,141,315,228,069,662,961,428,397,972,328,121,655,257,
959,703,836,120,047,783,131,716,586,955,080,871,242,221,770,292,059,094,453,
820,311,554,565,782,006,954,611,471,015,415,689,903,686,391,955,857,349,804,
875,278,704,254,891,530,334,499,544,975,534,866,569,085,996,892,325,439,147,
924,460,896,192,377,555,961,739,281,560,341,271,822,796,419,953,046,949,960,
843,013,883,923,009,953,743,413,402,469,629,771,216,670,351,398,877,266,261,
682,522,623,497,086,794,195,127,374,444,695,628,216,296,843,164,484,208,361,
408,550,126,161,760,396,450,341,008,435,715,832,675,376,414,310,099,240,801,
670,064,067,557,093,567,860,372,057,759,697,478,801,391,058,808,078,157,189,
320,065,604,697,740,373,347,783,315,571,832,396,783,107,158,776,764,638,843,
280,640,246,418,962,443,056,986,207,178,806,003,492,874,011,382,261,792,939,
810,428,574,850,721,072,127,042,853,848,729,215,004,832,965,559,743,195,590,
379,686,275,229,509,718,943,004,353,687,334,131,833,533,522,997,260,411,302,
827,281,174,408,485,991,178,925,852,336,061,352,907,758,128,466,961,564,115,
248,702,635,573,751,810,572,508,761,641,734,389,532,392,733,233,788,150,168,
819,722,860,457,140,057,862,830,289,509,559,675,145,375,223,130,872,918,251,
845,436,464,737,336,152,669,311,940,927,181,963,183,635,849,182,605,799,480,
638,353,261,154,627,766,534,768,544,757,873,350,428,427,562,277,965,872,553,
680,955,842,530,452,889,104,668,143,610,648,259,519,119,752,432,390,245,362,
326,722,103,088,209,758,922,118,112,479,530,143,972,022,175,755,273,176,734,
626,637,318,110,736,489,490,572,452,398,496,964,125,148,858,046,364,212,164,
871,305,586,275,924,987,849,767,940,348,057,412,609,825,795,523,853,009,363,
809,940,808,245,589,562,331,672,444,275,389,513,476,268,122,465,999,746,536,
513,686,392,177,337,918,833,551,259,418,070,049,893,437,969,054,597,290,383,
629,507,480,774,792,478,063,095,201,067,064,570,160,134,956,722,498,790,839,
616,793,062,539,171,325,255,560,841,565,997,157,024,582,548,028,313,850,391,
920,789,499,249,234,623,767,539,592,753,116,570,076,877,318,403,486,326,026,
414,061,181,616,241,763,320,232,127,611,208,969,753,892,766,264,451,169,435,
011,832,594,099,291,271,124,208,540,195,703,062,917,408,098,894,230,374,830,
631,462,553,171,768,654,829,542,907,153,520,913,281,189,440,976,863,446,067,
077,812,782,114,302,178,031,557,040,406,257,218,207,344,332,525,787,845,033,
599,536,149,739,822,801,556,342,009,973,699,584,708,320,262,059,509,814,743,
143,211,739,678,336,901,437,317,753,606,985,247,484,311,084,054,994,586,630,
057,870,152,197,102,206,477,197,506,389,590,081,968,596,007,583,791,491,712,
786,286,101,133,006,021,794,392,324,936,589,336,233,913,918,259,227,180,781,
291,756,229,991,047,648,352,861,132,337,362,882,895,742,566,616,551,473,566,
174,373,332,565,816,256,786,959,193,549,171,075,903,224,774,236,628,353,461,
116,353,248,688,022,316,178,770,134,445,158,487,244,123,218,767,586,105,152,
120,400,636,860,804,586,963,980,227,656,938,086,749,642,120,854,111,549,813,
288,478,785,933,595,061,397,196,816,697,454,585,814,132,505,867,065,976,899,
383,975,048,711,719,001,202,379,484,599,345,499,092,374,398,824,764,941,001,
645,775,251,044,537,540,011,994,394,651,021,111,974,926,072,673,238,419,477,
222,492,795,641,854,519,177,060,931,701,117,442,312,079,557,470,542,439,083,
370,184,311,623,991,216,809,163,220,153,588,009,690,402,475,425,000,480,168,
550,040,521,718,286,684,218,833,852,402,277,109,319,227,417,517,683,691,096,
905,410,763,415,267,529,457,627,604,576,584,083,660,691,957,416,065,139,090,
139,689,706,086,997,498,889,810,629,189,696,235,796,260,096,018,908,413,576,
283,449,432,675,006,848,201,169,244,432,892,262,213,577,171,220,621,560,318,
305,651,060,201,508,359,471,225,947,850,749,024,653,188,496,572,356,189,342,
920,370,280,805,424,737,917,064,607,008,666,857,045,747,002,438,546,547,589,
766,726,443,231,785,721,838,635,174,649,331,306,070,205,998,377,233,437,858,
354,895,559,982,253,221,410,260,890,725,063,249,242,856,317,379,165,853,040,
823,399,858,648,577,771,634,086,538,769,171,817,400,269,023,862,327,214,150,
505,020,078,955,981,115,317,036,479,185,140,912,469,886,423,579,341,617,520,
325,695,938,028,534,337,843,306,066,944,210,259,985,802,732,478,831,043,878,
084,576,851,074,511,145,915,513,707,254,675,292,840,781,913,908,937,157,266,
593,478,349,460,783,418,946,730,572,960,131,741,894,607,182,092,654,546,877,
194,000,201,819,827,449,795,323,768,566,499,158,442,839,389,167,334,093,867,
980,927,604,104,179,505,376,732,446,580,805,682,060,982,525,709,745,709,126,
365,515,935,214,085,819,955,751,462,106,580,898,236,494,771,425,083,327,640,
214,047,436,794,013,755,617,336,721,507,727,323,820,480,996,599,814,761,451,
373,475,008,005,316,145,270,154,862,531,467,867,882,446,172,270,238,453,336,
501,399,660,221,904,020,163,757,869,846,443,224,321,395,898,605,059,102,662,
355,508,734,412,755,235,621,016,858,086,293,527,487,858,581,481,165,258,634,
730,159,164,678,795,447,293,559,851,155,256,461,368,717,284,270,552,685,451,
568,330,039,095,816,728,482,120,455,505,884,867,815,506,057,680,276,949,010,
017,887,922,945,678,682,184,251,797,320,610,489,504,872,598,662,573,407,014,
582,159,236,824,098,146,355,674,974,288,413,773,651,125,824,796,888,826,225,
529,379,247,774,968,221,469,448,375,010,209,770,872,755,369,931,289,864,590,
387,690,007,972,323,211,773,738,244,805,707,233,706,337,395,193,668,493,502,
943,815,474,356,538,873,883,263,070,189,119,815,703,395,704,621,641,277,897,
315,031,791,320,650,642,637,556,489,099,779,858,774,854,944,878,779,588,139,
184,668,413,568,702,871,899,491,659,438,101,401,960,376,982,282,993,239,876,
987,895,082,359,751,724,616,524,586,120,668,921,814,247,468,030,293,928,046,
840,159,726,398,237,439,632,376,555,984,271,533,557,195,842,375,487,420,039,
755,469,694,579,284,179,566,391,921,845,508,157,242,966,874,710,763,346,632,
052,257,573,993,253,507,467,349,982,565,845,401,204,617,678,125,383,915,760,
394,463,392,499,838,366,030,100,614,846,948,509,877,193,437,953,308,197,965,
730,018,275,782,896,521,328,532,210,838,633,452,013,103,940,592,903,453,396,
627,822,619,688,100,523,285,692,641,999,710,777,362,736,941,006,992,861,114,
615,105,395,091,292,759,584,989,725,182,674,956,050,283,982,558,570,644,385,
218,759,044,380,964,633,604,995,501,395,699,176,113,246,000,145,625,522,386,
579,344,239,217,831,831,677,466,494,475,157,582,342,436,756,900,252,616,300,
247,114,655,986,381,259,015,393,489,268,676,122,105,045,062,464,985,860,460,
385,225,688,234,198,502,434,444,227,910,138,900,831,735,963,324,346,213,601,
253,106,956,640,029,668,702,055,298,519,112,791,536,425,687,009,268,155,908,
152,343,131,962,288,310,323,214,200,207,477,497,978,963,364,563,148,721,568,
328,451,495,228,792,399,685,445,857,151,766,540,102,148,138,012,447,733,309,
665,250,017,205,584,732,927,946,267,921,881,835,791,293,753,844,650,223,115,
052,646,877,288,958,884,608,379,643,424,943,179,051,634,545,864,407,094,753,
112,313,602,794,950,466,403,583,759,399,607,841,277,156,785,449,147,402,551,
165,302,081,250,152,611,691,106,542,361,032,306,304,220,152,522,733,533,236,
933,286,105,237,770,909,407,966,983,688,612,260,372,566,842,134,758,776,972,
929,006,317,167,914,830,793,156,787,713,195,467,403,438,357,761,605,914,797,
872,396,434,204,741,183,442,644,435,358,254,899,364,978,136,851,736,852,010,
131,990,108,698,900,897,860,281,412,708,406,824,011,494,988,203,768,452,019,
081,442,208,802,777,996,831,489,842,509,797,816,888,617,312,016,007,382,651,
177,420,587,462,378,426,317,105,885,796,970,295,854,041,330,028,807,108,280,
191,359,006,969,692,686,267,677,507,070,292,388,338,084,580,514,032,083,852,
902,442,347,260,699,744,874,039,746,019,338,238,249,930,834,705,114,212,078,
700,362,729,672,961,068,028,088,190,289,402,958,523,667,913,097,017,669,075,
113,527,613,075,809,929,689,124,690,647,918,694,713,605,768,077,836,457,978,
630,509,312,579,244,888,212,370,666,687,761,786,221,421,077,600,941,190,134,
376,884,057,660,537,552,539,585,532,682,204,733,776,218,654,234,112,654,518,
480,600,197,945,045,671,712,023,910,446,168,269,703,881,411,270,565,627,633,
142,862,269,554,957,913,960,097,809,544,664,659,117,259,295,226,692,106,749,
698,556,412,227,612,093,373,529,932,237,607,627,596,925,925,048,119,736,540,
293,788,642,212,898,177,755,434,214,065,390,816,265,052,304,273,126,045,187,
482,417,581,599,776,186,275,617,671,178,316,655,782,610,517,681,898,666,949,
685,053,153,379,608,938,668,652,451,887,172,656,480,826,338,770,642,482,608,
710,454,538,531,119,573,715,142,253,322,414,083,042,913,732,292,437,654,336,
843,076,941,750,208,415,123,989,331,230,495,575,658,061,490,667,335,056,675,
726,026,705,496,171,473,119,976,351,269,337,061,337,576,059,391,107,791,717,
502,906,988,455,594,103,824,883,870,276,130,970,699,601,208,944,034,875,309,
327,317,980,007,538,862,168,370,331,220,915,230,111,991,719,048,133,712,173,
801,724,229,839,552,457,116,500,963,171,898,585,681,202,591,048,528,233,273,
432,055,205,318,196,042,567,586,115,937,965,741,469,383,966,275,170,961,014,
689,520,886,200,850,088,187,028,861,322,816,307,385,813,331,048,210,443,402,
669,343,589,952,642,630,624,833,577,089,244,893,646,448,716,103,809,813,876,
667,362,830,337,998,346,057,671,698,307,189,106,479,428,365,577,810,045,461,
525,273,782,083,878,920,802,604,023,944,135,929,234,432,178,028,563,078,532,
274,690,898,142,861,999,732,465,212,202,855,554,409,567,177,581,107,090,406,
012,324,695,874,476,306,019,768,859,556,487,511,393,472,472,346,632,556,074,
190,754,632,929,044,931,011,349,783,940,360,969,483,472,714,189,896,340,344,
575,427,467,070,195,033,880,516,259,069,800,171,584,018,106,106,241,775,198,
612,306,888,811,590,953,913,869,435,482,900,731,626,637,865,268,796,639,346,
435,422,724,414,422,401,248,838,200,553,889,521,289,963,869,263,727,634,566,
662,748,080,861,714,036,525,637,606,672,572,740,404,858,570,771,667,600,273,
867,291,848,761,426,533,216,088,595,026,014,967,330,962,353,400,163,765,803,
066,410,874,111,399,311,760,807,197,323,943,021,464,085,983,527,577,774,319,
290,573,450,090,330,453,181,920,880,907,102,917,958,103,219,270,628,410,123,
696,414,587,500,918,012,101,563,381,585,351,752,383,956,290,980,642,972,175,
349,048,963,765,638,540,316,226,465,867,992,258,605,615,153,231,598,988,306,
407,816,593,483,849,109,477,778,132,477,666,981,405,174,990,472,519,527,964,
046,091,446,308,214,964,225,404,533,454,471,936,872,447,074,258,533,709,743,
813,741,411,523,265,814,379,499,589,922,467,618,554,075,324,821,044,339,333,
418,928,981,179,090,168,652,680,944,291,526,563,634,087,570,284,158,552,682,
141,152,875,388,831,499,306,736,101,568,822,620,892,549,927,936,351,909,532,
309,821,626,666,736,009,179,207,680,229,821,046,825,315,044,862,311,675,694,
148,365,754,512,103,068,915,686,268,155,903,288,353,245,647,763,709,676,265,
120,129,277,443,738,655,525,062,768,557,166,999,079,247,862,414,694,047,052,
564,585,778,818,295,038,168,214,036,915,598,073,345,752,553,731,348,980,724,
236,811,372,406,376,815,380,334,482,180,458,437,726,281,312,249,878,729,696,
071,061,551,792,990,926,902,952,142,113,871,722,301,666,842,407,439,846,825,
760,056,233,244,572,493,330,816,411,922,574,273,600,361,769,987,220,211,645,
243,603,474,607,834,692,658,147,804,095,694,856,955,221,761,604,399,928,904,
824,403,940,366,176,824,014,543,086,234,258,826,725,968,334,010,550,853,628,
278,731,894,331,453,607,747,491,705,697,057,854,804,334,293,506,225,862,243,
017,340,217,105,373,931,296,832,781,415,335,749,282,190,539,778,788,532,696,
961,364,232,875,488,803,892,069,270,817,597,377,266,013,494,594,674,208,357,
940,205,988,704,753,944,043,207,661,088,758,335,224,443,193,291,330,774,029,
100,644,542,820,744,134,776,913,443,057,999,585,298,529,807,689,543,636,211,
162,181,155,002,959,764,325,077,209,354,744,559,999,752,236,953,508,850,781,
006,348,601,324,422,403,904,985,756,281,181,709,929,423,237,564,061,547,878,
311,138,355,984,011,111,425,752,748,918,791,747,535,041,012,294,918,465,347,
090,304,404,633,366,798,035,758,325,045,854,508,566,233,527,131,539,205,453,
591,056,877,522,419,078,864,327,086,423,689,921,590,704,944,658,619,473,914,
991,147,749,024,183,252,015,869,962,185,786,653,842,515,178,779,756,458,507,
946,291,975,574,836,167,613,606,410,499,019,456,856,044,282,781,851,352,059,
303,786,055,242,169,437,765,765,456,057,994,571,874,140,341,746,392,991,804,
279,289,133,551,022,202,575,258,836,862,052,149,478,013,619,495,895,046,387,
817,726,873,519,541,444,750,371,484,332,837,134,223,775,540,231,558,154,019,
876,934,669,887,794,631,214,572,338,608,608,573,189,865,584,272,404,960,725,
594,903,728,709,454,593,124,186,783,900,432,898,561,543,764,496,486,483,311,
939,590,566,442,305,807,274,670,719,359,293,695,307,837,217,695,355,322,612,
031,922,780,676,895,950,767,310,029,900,612,721,217,761,623,003,093,649,596,
179,467,792,309,094,385,897,865,603,624,794,150,033,514,205,782,979,692,535,
336,851,735,154,714,161,805,733,824,604,603,578,603,508,559,535,928,441,526,
220,239,088,166,595,074,601,156,733,494,095,479,641,535,389,364,052,078,475,
636,076,653,616,790,519,995,917,907,061,689,039,759,805,625,337,485,342,757,
412,859,180,338,291,252,403,570,643,735,181,694,955,330,326,655,203,470,181,
119,917,830,287,429,342,347,888,654,900,590,223,444,914,356,977,386,008,991,
786,743,792,714,627,334,152,017,385,253,490,607,502,618,833,766,681,312,628,
700,454,131,107,824,408,626,554,294,617,732,115,282,437,178,076,732,635,702,
668,212,976,435,161,174,184,287,857,496,034,669,957,188,213,145,608,321,088,
887,181,052,787,537,006,786,615,144,490,092,513,102,732,544,099,120,835,988,
138,782,538,840,811,493,755,929,125,632,832,179,408,881,577,757,637,085,370,
860,391,847,615,416,755,534,465,662,173,186,571,095,884,537,281,332,760,624,
096,967,968,487,453,187,679,821,658,350,712,106,919,662,971,116,371,246,733,
002,207,153,393,849,373,768,265,029,963,988,966,003,798,081,226,856,832,061,
923,008,408,911,903,997,050,094,498,839,229,765,147,275,704,699,924,582,837,
901,021,645,951,705,268,802,758,270,890,423,885,339,216,032,400,119,751,233,
879,793,777,937,445,570,771,442,536,445,577,702,280,732,884,857,891,387,469,
760,369,207,557,001,531,378,654,484,207,537,402,008,060,300,806,267,554,394,
694,983,975,075,952,503,179,134,018,384,603,471,438,897,290,309,167,811,773,
280,262,677,157,755,211,548,605,528,796,896,396,264,896,004,680,772,324,775,
397,889,448,502,796,723,341,917,940,819,057,013,669,863,549,291,938,067,152,
670,931,384,955,975,374,790,612,557,257,343,410,211,061,358,237,973,244,241,
475,117,238,891,557,652,553,670,024,730,576,603,091,530,109,263,059,766,722,
552,950,460,135,808,138,950,023,222,646,248,821,843,947,821,795,845,646,546,
242,235,276,555,472,524,011,607,506,594,643,930,586,503,725,284,169,910,405,
918,864,042,079,046,742,811,666,252,193,269,077,538,394,532,397,675,277,522,
557,380,508,884,687,175,783,217,143,150,082,820,318,773,266,163,329,013,401,
564,131,585,483,101,094,746,981,403,098,915,498,795,986,215,699,612,507,793,
094,622,530,715,039,800,356,548,724,347,491,284,407,038,988,256,434,934,831,
448,433,238,155,981,518,188,993,558,345,655,785,837,890,129,785,690,860,857,
459,093,783,667,966,146,824,492,152,623,965,529,750,362,974,552,873,538,903,
577,840,933,498,555,757,621,393,868,075,887,503,069,615,236,043,495,251,442,
396,355,975,019,831,361,899,217,150,662,605,083,260,958,056,389,013,703,310,
720,459,257,838,340,953,059,363,526,022,999,217,245,182,517,232,139,314,315,
767,336,376,892,640,392,555,331,359,319,803,123,493,970,332,659,213,241,832,
820,503,845,197,241,790,637,492,602,119,369,874,706,213,765,797,688,037,325,
294,003,270,467,388,786,881,416,780,053,209,535,314,000,873,377,422,561,074,
893,904,267,631,609,412,097,786,635,344,607,819,152,808,056,884,515,065,596,
557,456,287,258,616,694,760,155,982,824,540,580,874,448,662,480,277,513,747,
876,351,972,660,984,289,625,119,656,219,726,190,661,316,168,138,377,712,674,
690,320,201,998,994,049,846,886,062,507,615,185,957,966,074,095,053,161,222,
639,715,902,242,031,078,229,243,207,953,219,963,421,133,614,332,495,849,951,
717,442,427,149,949,680,656,507,713,975,938,402,028,751,799,662,822,798,742,
439,274,857,430,271,973,047,100,461,878,129,087,259,090,572,066,582,837,092,
220,207,463,132,457,334,575,293,972,623,650,892,382,876,676,646,665,303,613,
057,810,113,799,226,576,064,180,919,653,027,342,380,263,317,890,394,597,661,
767,954,460,296,479,955,290,472,073,064,559,617,741,628,949,499,974,169,449,
087,562,047,671,556,537,241,191,486,548,015,738,705,053,013,515,642,545,552,
590,477,934,551,034,107,792,400,763,652,175,557,789,914,047,396,890,040,473,
760,322,611,989,103,977,964,799,977,413,344,124,673,168,898,030,527,598,181,
126,630,153,476,287,874,953,836,531,585,222,620,815,541,447,888,243,979,796,
342,683,259,671,783,820,882,165,403,608,259,668,781,391,370,730,764,853,056,
756,653,745,412,061,594,657,103,180,778,657,217,108,522,428,359,633,078,746,
590,330,030,921,379,746,915,773,795,065,989,595,086,363,766,387,708,140,035,
319,494,254,327,941,221,084,008,556,423,252,255,727,841,901,404,041,741,126,
897,704,760,254,586,460,953,960,288,533,590,148,771,218,699,330,895,499,178,
386,363,206,301,529,505,778,001,895,131,329,725,713,797,252,519,203,024,982,
663,134,854,785,645,368,897,280,644,818,366,155,170,744,139,399,380,469,235,
932,739,148,199,305,122,194,382,011,792,478,987,944,517,214,931,906,589,271,
303,030,162,802,772,518,176,937,981,705,575,935,181,402,191,863,197,689,457,
012,646,062,959,441,703,311,806,688,160,506,961,059,043,175,590,310,346,126,
033,391,508,819,252,851,699,257,154,465,377,421,919,526,463,452,243,018,184,
097,901,867,791,842,987,463,392,261,606,129,441,941,247,292,673,918,159,611,
964,248,002,186,154,034,886,456,483,317,951,939,126,623,046,211,709,553,316,
159,688,594,795,879,969,550,708,585,225,613,556,009,048,693,458,364,044,544,
506,534,773,832,755,122,347,779,945,635,373,127,619,407,151,629,558,750,552,
125,058,827,416,840,292,322,883,982,789,964,739,701,124,806,145,317,105,418,
473,810,886,760,803,673,737,598,496,747,324,126,283,721,452,576,661,179,710,
306,615,897,937,235,458,500,820,876,929,322,237,758,820,183,596,681,480,855,
297,326,797,244,364,856,085,480,967,087,511,510,879,215,435,990,741,360,163,
540,017,104,976,420,320,742,371,013,447,941,257,172,191,381,297,957,734,569,
962,754,067,468,065,893,128,583,741,649,066,894,376,618,944,794,724,112,981,
709,792,322,063,880,740,354,877,197,537,539,875,057,943,671,866,928,488,845,
169,530,552,585,626,459,649,880,295,171,370,143,344,872,045,612,136,550,859,
557,362,138,985,808,438,788,021,414,684,724,178,148,189,927,671,536,857,070,
905,344,382,004,215,178,172,835,750,657,443,955,608,095,036,075,835,374,386,
450,681,441,571,429,860,874,545,218,334,372,894,430,160,124,246,526,793,698,
466,802,138,041,440,102,123,135,802,763,511,285,769,512,108,228,297,615,953,
388,193,735,063,642,903,412,921,967,312,921,663,557,485,447,348,485,770,948,
658,434,759,893,682,807,997,517,637,478,176,184,578,060,890,854,847,261,027,
684,710,016,288,832,886,918,251,080,518,841,096,483,956,451,609,746,413,314,
956,973,520,998,105,692,867,566,461,038,658,701,919,005,269,453,998,274,212,
874,841,249,855,715,324,841,969,527,790,374,124,268,394,603,923,899,590,316,
792,428,385,376,432,594,414,571,603,260,678,320,537,909,782,766,362,573,337,
634,181,323,008,303,531,975,307,741,474,474,391,123,068,435,570,994,598,665,
030,470,822,236,586,875,354,009,759,876,904,090,783,978,046,895,050,140,354,
978,268,779,038,462,315,917,292,596,871,837,443,175,093,721,593,245,286,450,
957,297,354,281,347,857,240,934,531,398,785,919,065,564,767,093,843,835,559,
380,489,886,354,962,873,454,945,313,472,822,852,853,178,976,773,086,271,126,
156,354,796,876,335,394,553,057,463,281,204,938,372,413,536,355,827,277,331,
449,671,024,845,501,879,713,959,242,716,677,356,580,718,875,726,877,237,402,
991,914,651,830,271,559,579,436,836,099,633,513,212,034,095,300,381,464,554,
754,340,030,324,839,558,459,930,357,872,772,736,277,467,891,571,277,287,167,
273,633,161,974,329,132,327,087,110,225,508,362,050,395,004,726,316,503,826,
560,388,269,107,793,785,488,958,902,073,439,212,604,019,553,210,303,290,581,
795,371,623,215,968,555,190,179,741,844,239,330,252,836,312,761,524,301,253,
335,849,132,304,764,890,813,126,649,585,139,511,727,664,329,383,688,672,044,
801,429,736,878,217,878,004,898,149,682,566,722,989,829,233,844,026,942,175,
464,241,229,653,945,206,751,437,573,546,964,048,614,641,015,630,564,388,321,
416,129,234,172,670,134,862,078,440,896,262,850,889,584,253,530,525,187,163,
919,443,259,146,836,792,353,384,096,839,410,677,323,594,775,713,352,433,581,
854,903,555,927,123,422,705,324,260,194,954,877,807,815,886,557,527,561,559,
967,897,122,344,696,947,172,400,133,899,839,838,575,828,012,728,335,308,789,
854,157,689,142,863,155,514,189,004,676,130,375,725,605,641,061,391,704,536,
250,499,892,832,476,347,194,359,896,910,030,515,601,572,155,157,534,356,875,
672,686,883,484,093,996,406,617,673,633,801,769,287,048,425,118,864,172,707,
803,005,489,538,933,091,054,605,250,261,765,422,939,097,570,121,427,450,256,
549,508,308,573,259,175,616,954,934,024,598,346,684,687,605,670,624,371,327,
088,024,454,395,187,430,179,104,391,434,527,759,940,774,402,407,221,158,403,
559,751,706,647,963,853,035,201,694,588,617,126,526,749,540,807,076,704,852,
479,651,774,322,096,644,757,306,097,458,549,312,361,845,186,758,703,320,839,
815,503,675,258,257,793,250,190,666,658,041,442,975,266,243,580,495,302,514,
009,856,691,279,089,546,047,551,185,560,068,729,965,386,213,420,367,424,991,
359,549,981,866,642,252,705,569,748,611,403,408,342,379,041,925,633,483,097,
872,090,733,082,844,633,808,547,557,842,569,809,230,102,475,809,516,601,158,
132,244,555,338,157,634,548,664,270,532,149,572,685,868,568,206,097,103,948,
623,758,356,142,990,254,576,247,487,819,428,248,100,657,766,599,561,400,738,
651,261,829,466,179,391,406,182,995,862,785,336,394,559,267,538,417,613,404,
288,654,884,904,280,838,806,439,251,313,091,771,231,717,870,213,795,519,145,
792,570,245,351,032,357,041,311,156,330,973,815,956,264,897,351,813,666,622,
276,358,465,544,503,649,307,187,046,046,252,006,629,499,910,846,352,927,841,
330,666,958,917,073,338,149,636,140,141,835,681,928,972,349,301,648,367,697,
850,614,215,824,748,246,299,441,573,127,107,337,107,099,420,372,469,000,733,
962,373,325,911,692,464,692,553,579,038,444,344,681,331,460,140,839,734,242,
207,261,352,951,111,910,303,185,766,481,710,831,790,922,591,524,170,748,096,
166,582,542,726,393,115,036,973,152,483,292,260,393,950,228,784,945,741,516,
822,197,958,910,890,242,787,379,482,875,986,710,672,174,880,702,445,038,397,
775,804,077,612,227,605,188,888,269,795,864,498,760,786,438,587,131,453,814,
440,884,914,765,848,022,760,742,332,634,365,183,034,031,702,584,800,464,952,
866,079,882,719,714,163,654,196,958,031,538,866,367,594,972,020,229,379,634,
693,135,107,032,553,273,706,960,097,473,816,393,158,289,914,530,520,207,532,
427,485,904,266,692,003,212,467,030,538,095,073,659,774,736,625,554,424,544,
529,570,676,104,757,884,009,588,957,710,610,413,395,086,157,953,198,444,166,
725,433,338,257,872,823,343,573,124,393,369,729,932,566,226,450,519,421,133,
951,857,728,711,772,093,699,493,518,627,616,530,907,435,265,976,342,877,609,
225,929,971,687,141,413,866,384,143,587,861,741,237,848,243,393,511,610,597,
779,993,442,213,151,956,301,138,238,998,699,167,047,168,738,379,309,446,263,
234,169,059,066,159,913,243,368,171,162,529,264,998,800,526,891,849,987,464,
635,175,430,148,941,513,364,253,118,753,522,012,792,587,039,959,237,064,502,
175,164,863,534,737,793,241,841,255,283,027,923,468,906,998,570,692,625,942,
483,165,107,910,729,783,307,633,172,726,761,628,554,251,763,206,693,719,475,
067,359,280,029,747,373,546,827,837,366,046,186,315,630,480,190,291,741,661,
484,244,784,650,007,034,574,609,169,424,348,432,025,839,619,624,714,316,725,
019,479,885,136,248,300,057,973,587,476,203,551,992,894,545,779,432,721,716,
500,418,220,617,595,400,036,100,921,742,873,550,100,177,263,225,800,749,560,
595,691,949,504,306,613,707,500,082,492,933,427,100,229,567,546,966,450,050,
347,355,701,928,512,946,530,042,725,493,839,118,413,317,146,307,336,604,928,
965,509,359,825,886,299,089,220,847,315,340,997,458,387,554,856,306,691,896,
794,965,311,436,125,449,148,499,827,038,750,917,239,149,479,357,604,231,403,
320,703,063,964,845,167,822,202,077,555,897,704,560,116,322,110,669,145,419,
110,121,184,372,816,544,070,607,058,945,361,265,776,404,766,513,360,633,113,
828,694,927,863,435,198,492,662,601,094,043,188,810,183,352,656,053,260,993,
782,186,189,523,686,239,187,356,107,813,327,164,284,357,789,138,050,818,124,
839,368,681,194,814,191,038,141,968,524,382,339,561,944,464,920,093,144,529,
879,122,196,954,694,139,646,739,899,867,897,377,223,145,093,648,828,934,427,
761,405,571,163,703,070,462,826,167,806,858,675,144,640,889,829,632,156,117,
436,558,332,237,218,866,330,392,509,263,260,969,389,048,785,348,501,053,151,
414,121,716,895,492,171,062,675,977,633,719,674,836,815,173,739,468,301,396,
227,436,023,566,330,671,714,660,460,464,224,590,557,140,626,189,176,442,974,
401,017,673,749,092,435,069,330,659,502,679,904,435,786,421,403,593,273,729,
145,576,609,332,516,356,032,866,591,167,726,471,829,403,365,536,204,385,453,
194,677,014,840,807,119,637,410,175,065,108,241,658,202,563,308,380,852,841,
788,950,440,329,708,214,766,779,057,536,222,265,428,008,696,126,897,384,203,
461,898,659,653,421,091,312,288,358,008,850,237,769,357,046,786,203,699,319,
716,371,182,980,413,531,549,593,282,747,812,821,674,985,514,469,365,511,213,
282,917,492,852,010,052,578,461,999,177,926,672,274,196,477,888,360,225,509,
226,349,155,867,846,740,105,641,307,125,212,939,141,213,148,394,068,995,128,
881,541,253,109,141,958,221,399,686,650,945,128,726,704,817,389,341,149,855,
485,471,199,551,243,887,901,583,037,479,424,544,332,949,727,268,717,726,913,
523,812,894,722,922,354,514,872,350,916,009,960,276,907,708,275,796,016,394,
186,827,202,735,836,229,376,863,113,324,348,603,530,169,897,704,239,086,828,
133,266,829,734,247,770,031,775,317,762,744,868,453,632,837,465,608,032,344,
032,311,811,015,327,127,591,139,715,041,855,308,061,838,857,080,891,254,348,
992,504,758,929,506,675,314,083,471,380,475,168,091,742,540,466,891,792,709,
997,214,726,276,535,190,987,832,902,075,508,774,190,437,593,178,370,873,569,
736,363,613,861,646,266,381,221,695,052,944,666,778,550,624,489,326,275,559,
552,889,419,551,057,149,705,251,259,958,443,992,681,369,581,708,031,046,540,
194,875,914,365,062,490,690,167,463,918,346,405,656,809,167,349,755,092,177,
307,587,445,969,160,426,313,430,271,929,314,932,670,640,661,041,769,266,231,
242,381,516,707,873,634,649,419,585,986,910,793,192,441,432,172,688,758,323,
082,721,057,474,976,374,501,715,153,550,710,660,914,401,266,241,334,310,963,
703,455,668,911,035,295,723,772,660,415,740,675,324,196,458,013,737,345,044,
063,137,278,392,954,498,520,294,329,957,880,717,799,137,238,028,610,968,813,
071,647,862,342,462,192,745,159,137,864,239,282,495,642,653,455,068,972,615,
405,843,105,442,543,176,566,265,180,932,667,391,612,627,470,563,839,593,473,
219,972,526,549,929,240,673,121,323,037,177,065,007,879,223,218,622,737,585,
396,036,758,710,864,269,602,511,692,213,638,799,021,752,531,796,367,988,498,
340,651,593,699,278,869,442,722,832,166,556,048,864,626,334,884,551,881,365,
914,441,162,254,421,626,514,101,318,946,891,839,224,114,414,727,191,831,761,
752,932,028,260,796,622,009,049,279,826,574,828,367,283,862,896,673,771,361,
833,309,938,704,450,268,710,315,252,568,904,489,162,135,099,178,470,418,429,
405,139,068,993,645,037,409,594,671,574,617,981,299,977,939,916,967,519,056,
817,907,863,514,385,870,242,659,852,457,903,489,586,520,425,133,760,784,954,
722,229,596,226,608,901,326,776,008,461,107,361,810,675,466,262,365,577,432,
889,888,684,752,727,667,333,530,030,182,747,570,201,069,502,358,967,533,378,
438,219,641,607,457,447,362,230,126,320,067,794,882,897,565,771,697,915,110,
336,157,937,685,305,486,231,476,793,640,123,547,069,524,925,422,557,818,995,
784,033,629,036,908,237,350,864,020,960,669,678,817,217,878,643,929,684,727,
879,066,704,650,163,851,198,476,104,294,959,648,601,156,137,612,764,038,687,
202,124,515,583,297,893,337,987,182,696,240,831,580,447,245,952,072,097,220,
132,183,882,931,314,329,774,269,049,981,662,843,977,395,178,480,366,472,216,
710,707,068,144,897,353,391,110,232,882,387,371,126,391,832,703,984,798,384,
875,508,867,709,290,722,983,804,276,546,309,267,254,317,783,522,445,662,129,
522,604,740,543,391,706,025,376,351,106,793,574,914,626,580,589,012,013,281,
123,839,321,862,848,068,177,448,873,362,012,039,016,761,699,148,479,282,549,
413,720,961,281,734,912,518,257,404,631,460,636,170,381,823,917,287,947,186,
141,997,585,302,608,693,536,796,671,625,868,221,747,681,930,422,017,521,371,
870,216,642,625,518,925,192,290,282,898,040,826,113,197,495,927,528,890,102,
521,948,092,717,489,208,893,456,771,321,594,150,455,375,803,201,236,931,980,
731,066,975,044,990,464,408,806,569,926,059,341,382,594,246,268,366,830,612,
520,867,137,240,978,766,973,633,992,126,808,720,000,060,516,735,039,590,136,
904,315,552,691,341,268,265,365,573,606,951,263,532,152,760,104,633,682,519,
802,458,060,796,357,801,297,333,470,772,451,016,926,246,771,763,849,035,238,
021,793,814,031,866,478,681,574,498,668,811,345,735,739,021,223,549,881,318,
161,397,490,661,335,915,115,195,288,349,863,630,640,696,511,149,922,174,135,
561,034,850,566,439,567,260,863,429,911,514,168,115,838,181,921,783,418,018,
369,089,346,075,430,365,346,639,984,382,703,867,325,280,799,952,506,010,511,
279,738,074,458,251,510,290,278,746,552,336,823,771,233,414,314,285,608,121,
257,199,787,844,391,028,952,617,637,817,001,551,035,164,144,039,423,346,879,
079,225,856,393,986,594,522,097,611,865,727,000,576,563,403,541,642,373,563,
522,341,312,015,455,823,862,139,159,299,950,128,236,247,272,038,205,701,097,
387,045,453,121,144,747,558,703,059,358,745,436,206,081,521,657,247,747,333,
069,321,870,532,094,136,469,084,152,244,213,244,498,824,580,568,482,611,136,
831,386,270,279,231,438,055,573,429,183,321,665,937,584,083,002,766,244,548,
343,839,292,736,214,236,309,246,962,020,968,560,800,403,279,630,946,527,645,
878,551,014,511,494,075,292,890,851,861,968,600,699,692,820,456,449,163,235,
562,283,276,175,224,024,140,203,113,210,594,318,636,087,050,369,650,502,703,
775,720,453,699,587,110,496,937,328,524,549,318,404,705,671,928,018,841,566,
411,956,954,887,530,754,439,743,359,934,934,633,976,177,865,765,041,986,094,
671,371,634,522,853,867,240,811,080,657,953,920,390,782,170,240,637,883,326,
112,827,638,489,202,635,181,290,054,107,372,504,197,292,991,806,104,554,998,
568,701,112,657,525,462,867,754,923,124,098,628,868,130,696,101,095,334,385,
387,891,168,663,523,975,272,661,545,290,521,439,346,663,475,403,004,226,763,
300,577,925,074,017,840,245,894,886,534,454,477,684,267,750,986,371,635,127,
089,885,903,832,338,728,216,029,295,906,917,608,928,864,530,643,706,901,508,
062,138,260,018,561,302,808,825,855,748,473,404,146,926,590,409,297,190,924,
283,581,561,183,758,901,470,286,112,953,921,561,462,674,867,162,410,251,142,
951,040,478,031,423,289,987,264,227,292,460,374,190,218,279,774,010,503,517,
724,553,980,884,023,206,471,478,762,821,824,784,173,037,416,252,201,895,016,
422,186,796,054,360,332,959,076,559,997,562,210,532,315,066,785,419,069,816,
213,700,141,899,540,106,179,584,939,147,040,086,525,855,502,385,502,563,469,
148,854,852,470,661,723,958,875,595,096,719,836,216,731,236,332,889,427,713,
593,924,410,285,449,789,689,134,534,473,119,748,267,517,810,632,598,461,844,
344,675,739,566,729,732,273,333,163,368,179,223,235,374,218,860,139,026,809,
686,127,984,867,189,759,846,793,367,536,602,495,657,076,737,603,706,013,390,
384,512,594,077,966,602,139,517,547,528,138,823,756,609,776,386,799,377,198,
262,366,815,867,839,258,280,819,155,254,674,643,911,409,045,146,032,877,400,
402,852,430,542,902,943,352,552,113,999,373,373,847,171,790,463,254,892,026,
080,692,877,089,269,068,897,534,802,684,447,955,295,668,154,533,956,465,582,
777,326,527,114,235,523,320,794,674,438,216,290,436,812,079,084,722,656,646,
166,565,063,350,183,946,526,308,513,546,519,879,415,612,462,496,943,582,021,
813,774,104,183,100,897,872,285,304,645,162,751,641,649,336,326,406,387,735,
483,029,520,154,982,129,587,697,713,066,352,002,898,372,738,041,181,778,824,
157,277,832,568,203,775,863,810,392,258,304,814,495,243,511,432,526,292,293,
952,432,314,486,513,441,298,306,956,235,919,892,914,768,823,203,484,511,959,
452,036,310,385,472,520,576,255,135,766,936,123,359,425,591,539,528,251,915,
082,405,168,658,698,776,394,876,616,335,798,906,951,465,661,291,674,252,827,
962,478,315,681,537,176,634,226,393,179,437,939,118,020,331,335,137,294,686,
985,012,679,641,622,410,089,627,381,967,230,372,266,169,652,321,327,765,831,
577,493,201,318,721,761,615,306,659,842,266,986,109,099,008,183,014,742,360,
593,030,171,532,535,790,626,860,909,560,963,311,751,152,019,249,547,777,662,
903,746,256,178,434,474,085,312,049,027,001,086,788,994,311,392,544,811,353,
798,011,825,823,396,495,357,993,188,225,213,884,433,905,066,974,838,821,089,
234,973,936,185,987,471,447,635,495,212,266,842,340,614,208,158,158,602,122,
470,377,929,603,758,465,574,036,345,423,206,221,868,316,552,124,755,047,264,
121,497,520,218,211,628,335,564,851,928,131,620,200,582,451,783,191,260,509,
698,863,812,417,824,915,267,071,291,954,423,542,685,247,312,646,996,919,657,
785,428,401,548,182,675,381,994,480,761,926,253,320,060,455,069,230,115,610,
959,912,249,067,518,515,170,734,294,871,921,158,778,478,540,637,429,914,692,
411,443,684,096,582,059,680,830,818,977,407,351,725,285,044,396,287,673,416,
527,397,331,446,337,474,733,551,079,943,772,650,168,767,292,528,945,796,811,
927,620,300,017,391,527,750,283,701,417,679,006,520,451,897,778,818,265,219,
052,185,845,938,137,458,283,607,229,934,260,497,040,213,743,384,535,059,156,
240,670,590,530,663,059,299,515,193,164,210,880,170,387,655,315,607,178,990,
967,043,186,242,376,867,518,660,460,146,416,343,841,249,360,906,263,663,210,
683,948,961,419,534,162,825,805,498,153,082,971,064,185,890,270,178,674,179,
634,685,762,187,098,568,376,846,381,245,515,502,025,377,068,747,778,172,534,
076,009,818,551,426,742,603,287,131,237,415,337,455,629,394,827,124,331,460,
583,011,646,596,237,940,552,632,832,191,726,918,493,033,366,999,006,723,754,
130,156,785,538,562,815,938,023,967,378,854,371,901,312,231,521,598,120,886,
007,316,882,255,676,935,122,684,951,372,865,973,785,560,292,240,373,490,850,
495,718,602,147,874,094,424,943,381,217,736,629,121,921,686,700,620,815,920,
092,443,671,188,334,465,842,991,019,994,712,428,598,064,951,508,126,636,879,
771,813,735,119,644,959,354,213,158,837,505,293,667,164,939,350,585,550,632,
527,511,309,948,515,695,926,417,400,476,659,952,141,609,371,238,622,652,694,
913,087,075,200,715,399,043,172,349,261,171,369,038,679,239,071,655,806,473,
862,810,988,866,725,454,156,975,457,618,256,610,597,991,612,551,643,063,773,
564,574,408,017,407,064,418,364,032,584,086,902,819,923,624,871,562,746,557,
415,056,179,797,783,613,624,943,305,054,999,566,192,442,734,862,084,999,950,
444,395,590,814,042,905,635,490,469,385,958,428,379,591,959,927,255,793,662,
991,154,332,065,118,735,103,953,831,219,959,788,239,244,995,124,279,979,249,
967,785,184,036,087,901,103,055,837,762,583,741,294,080,345,078,167,107,760,
007,211,753,798,525,907,837,148,998,147,317,192,759,548,273,399,291,759,806,
399,206,474,355,961,302,049,123,212,785,809,325,759,197,597,090,005,820,436,
811,194,604,756,433,980,970,270,540,007,453,328,145,678,902,068,097,848,593,
256,897,727,102,061,913,575,597,976,925,447,232,673,056,684,658,580,840,480,
407,157,647,438,885,992,964,254,311,586,834,916,140,768,611,668,418,864,997,
131,593,534,801,643,989,936,702,963,367,483,272,317,470,222,767,085,737,660,
560,181,480,521,057,986,734,549,947,866,918,236,132,457,517,125,378,045,606,
389,396,549,767,383,922,092,386,878,329,569,002,798,385,081,922,428,588,315,
744,971,818,910,607,528,093,114,871,438,488,223,966,989,694,376,005,009,337,
308,015,161,839,254,810,437,513,149,698,254,062,724,309,090,090,619,003,341,
390,815,888,659,280,437,665,523,478,578,038,392,964,543,721,741,074,113,998,
078,748,092,288,667,028,852,807,953,892,255,010,390,377,263,728,261,261,938,
366,236,197,227,598,188,715,113,847,821,603,242,640,789,785,432,845,078,955,
888,907,570,667,208,988,541,594,721,192,847,367,805,642,434,885,489,508,952,
553,853,342,372,216,345,836,026,251,711,963,022,526,321,844,920,604,248,233,
426,344,897,111,568,866,234,288,894,502,777,139,558,063,151,008,003,641,809,
193,981,236,871,751,536,450,092,138,427,894,875,749,935,516,909,770,124,164,
247,012,143,245,464,171,944,321,336,107,542,927,731,602,567,470,458,250,953,
727,237,865,249,714,375,123,516,801,718,288,439,602,800,590,566,928,362,071,
301,477,442,593,262,992,582,003,179,823,966,058,452,483,546,999,184,727,278,
693,347,687,747,253,935,958,400,243,237,873,414,060,469,596,051,661,170,164,
632,233,514,550,663,663,288,835,043,902,856,029,039,330,750,956,182,082,490,
260,385,066,518,710,454,685,104,569,518,691,492,885,254,846,788,006,242,617,
511,665,852,106,089,314,759,914,326,057,264,372,580,851,871,939,717,287,618,
699,167,788,258,783,837,294,481,706,023,068,976,724,779,212,979,906,494,511,
326,101,787,779,940,781,938,680,220,342,390,396,453,375,805,401,459,324,001,
419,742,894,633,015,162,513,967,079,780,926,323,423,167,892,828,157,789,437,
880,254,404,768,923,905,671,960,815,500,551,396,629,225,663,823,658,455,624,
095,237,607,922,030,762,645,962,605,054,974,752,862,443,395,001,596,490,919,
827,251,710,117,419,103,260,816,187,808,282,045,561,027,921,522,190,202,793,
223,730,119,547,332,766,551,152,616,903,795,015,726,696,031,881,962,798,274,
180,680,894,927,382,695,228,664,598,422,833,287,358,659,020,185,184,596,199,
018,944,550,370,022,810,539,736,225,431,365,063,567,713,271,718,715,948,251,
620,945,962,876,921,154,549,126,947,361,933,616,920,420,692,940,167,161,969,
906,962,967,753,596,470,448,097,423,912,273,763,791,101,023,664,971,641,099,
860,932,882,437,935,957,000,783,718,155,206,260,731,903,479,678,766,464,670,
285,616,471,862,134,883,788,280,562,381,645,350,042,783,176,367,490,220,298,
588,055,697,174,313,796,290,045,907,040,310,255,873,819,308,499,822,793,892,
676,268,203,000,820,979,440,614,344,519,626,241,414,653,814,021,756,024,537,
483,863,112,712,096,584,111,697,376,883,412,623,208,928,085,336,833,737,005,
426,330,556,757,491,547,382,437,617,206,286,670,299,932,980,967,588,693,032,
609,555,906,444,710,311,649,425,131,702,071,943,607,734,408,174,577,416,089,
552,014,998,625,147,397,139,510,661,067,264,773,421,125,504,622,668,685,262,
348,971,374,008,452,445,487,585,668,391,889,638,544,100,166,033,907,228,019,
248,870,260,431,245,645,586,201,890,190,513,345,338,869,531,583,918,461,972,
919,671,651,571,027,634,274,594,718,977,542,086,001,228,845,440,738,084,440,
570,498,694,802,069,938,897,479,244,404,819,556,839,143,052,997,066,289,783,
903,686,228,170,875,839,240,735,933,226,602,513,395,444,845,628,974,556,672,
902,516,729,931,698,474,024,610,165,879,840,485,220,712,715,460,153,485,140,
813,849,000,152,476,493,913,962,339,694,506,722,599,489,617,133,772,495,621,
159,141,085,836,875,288,404,561,630,100,019,777,376,661,678,960,218,101,424,
282,854,068,566,128,386,263,685,751,592,675,177,123,949,021,302,653,646,511,
562,042,174,558,299,056,683,346,194,105,123,471,315,862,787,914,607,715,416,
101,295,895,283,554,932,417,499,323,327,100,692,499,000,708,205,561,058,633,
693,626,886,859,521,713,024,895,017,430,872,607,703,807,037,288,539,525,305,
941,528,638,889,675,278,172,541,026,125,356,988,308,213,909,831,971,891,443,
501,146,345,463,885,266,280,948,972,740,663,878,652,501,839,748,930,290,656,
443,130,476,252,839,185,337,106,960,072,498,166,534,385,816,595,133,399,658,
408,394,189,781,350,461,650,856,576,259,395,245,053,735,168,106,213,278,912,
173,022,366,344,347,309,426,978,477,926,298,574,079,397,916,449,558,515,294,
262,392,739,856,866,180,626,625,829,194,364,641,470,458,235,449,177,067,256,
796,067,394,690,596,424,347,696,585,789,792,439,440,074,974,484,864,383,449,
452,024,320,822,421,965,005,985,793,078,904,135,101,790,298,325,518,103,162,
937,565,242,026,002,286,061,030,178,488,167,407,074,273,980,387,638,015,584,
570,652,936,579,719,779,502,609,053,094,923,809,603,022,713,363,243,722,238,
775,919,921,544,232,385,714,808,235,304,054,199,969,677,109,958,928,064,695,
294,224,621,162,109,879,573,419,269,007,377,231,927,135,515,358,294,708,139,
387,875,864,801,233,276,735,292,792,364,106,460,669,871,160,181,336,042,143,
591,160,481,740,349,070,372,721,974,804,800,769,012,226,189,800,979,729,847,
387,450,028,310,841,314,998,346,707,664,512,447,470,684,094,666,252,321,362,
549,702,383,173,224,349,011,223,418,651,509,678,048,998,561,733,492,827,022,
380,624,533,599,708,345,710,343,446,663,626,900,340,893,878,741,495,005,875,
818,456,863,900,505,689,170,326,606,899,966,197,871,705,062,967,006,435,384,
386,405,274,888,780,683,749,666,991,245,319,030,010,715,278,180,091,857,937,
571,620,065,648,495,053,537,911,399,382,641,456,853,479,272,293,717,853,698,
831,654,027,165,478,595,400,574,900,377,079,031,123,254,047,742,022,087,008,
370,496,600,504,445,249,861,818,087,281,595,355,922,429,143,033,390,444,898,
332,374,048,043,498,651,603,586,727,422,163,007,386,708,570,210,166,457,249,
149,084,878,836,344,101,534,172,932,221,884,842,093,436,872,219,364,461,628,
023,397,312,287,859,947,991,907,108,874,227,378,731,171,681,133,994,422,154,
406,276,037,113,665,567,414,354,999,535,870,990,028,930,733,674,346,518,909,
380,576,777,927,888,076,513,938,166,743,600,817,229,155,629,578,275,455,029,
673,292,640,170,881,784,112,955,791,094,680,653,227,652,336,343,444,420,968,
579,800,802,038,733,682,038,533,088,703,846,353,109,191,745,879,568,926,914,
261,481,149,707,303,932,283,436,060,258,701,983,821,912,339,563,037,337,289,
581,179,543,566,206,109,602,999,295,305,680,830,790,981,492,166,985,522,926,
912,544,815,576,362,985,565,228,174,876,360,884,265,690,288,033,542,435,329,
771,528,463,257,638,121,863,772,310,120,212,516,788,983,565,687,257,014,952,
573,995,613,179,860,856,328,782,085,870,952,650,071,369,470,810,581,215,748,
868,049,227,020,656,071,202,329,720,679,067,753,072,792,045,309,771,969,217,
432,835,219,910,610,793,521,661,069,752,406,531,275,772,457,862,595,750,700,
486,704,144,876,248,685,679,157,210,498,307,601,279,384,655,090,931,412,664,
161,019,020,975,069,672,657,285,247,563,901,819,562,567,162,093,704,338,632,
947,007,791,824,716,923,487,803,346,254,448,390,764,550,311,240,947,896,544,
264,138,542,908,307,387,493,867,693,192,750,588,380,553,273,141,181,766,232,
425,831,424,404,116,462,572,196,633,311,714,842,648,513,161,899,548,478,992,
617,880,281,484,005,236,785,108,880,797,257,295,626,088,809,763,009,606,802,
003,897,568,970,371,838,242,268,363,055,695,706,127,180,099,350,078,064,491,
644,279,318,477,644,431,046,395,862,149,392,003,443,786,449,957,098,452,348,
935,504,503,578,565,730,116,565,311,990,735,733,825,813,219,000,925,944,342,
973,534,635,624,468,875,141,006,837,747,501,178,015,686,853,139,694,278,921,
118,794,340,199,614,585,461,478,579,238,116,793,219,823,347,391,519,420,886,
379,333,403,908,096,677,568,707,860,464,744,587,299,040,202,159,078,416,809,
396,173,057,687,209,525,648,653,930,485,353,742,718,254,065,352,856,883,501,
867,219,096,026,612,259,731,149,705,168,386,362,455,028,125,408,135,990,292,
911,382,897,992,924,324,470,681,285,380,057,854,471,890,424,313,694,883,017,
483,670,429,892,899,143,728,197,653,866,021,222,105,075,642,079,947,578,325,
999,630,479,092,587,949,983,895,328,840,186,555,605,069,970,381,531,265,567,
839,388,527,682,158,426,689,045,790,452,621,786,958,793,330,370,830,545,085,
849,331,140,083,864,715,184,001,554,846,396,793,760,806,732,466,410,610,693,
292,891,974,460,015,064,702,051,111,566,540,765,684,565,363,247,558,590,069,
374,260,434,043,834,868,866,310,553,533,410,194,785,805,079,896,056,752,712,
407,728,394,216,990,251,104,119,602,879,347,812,420,419,914,651,951,585,301,
608,606,647,040,118,245,223,843,149,156,083,966,235,005,581,021,142,352,865,
142,767,835,720,715,102,449,524,358,666,338,813,280,458,490,408,827,832,503,
540,191,456,592,311,876,256,926,033,368,569,927,633,305,668,949,174,203,794,
695,174,537,713,692,617,416,465,429,021,259,542,049,144,891,513,819,791,556,
138,911,110,544,106,436,501,067,282,882,276,355,021,076,907,108,601,549,576,
743,052,285,428,488,171,178,776,344,522,434,494,117,477,150,590,676,942,295,
399,079,455,294,525,467,346,352,297,707,361,681,898,409,862,041,167,821,901,
058,170,268,626,100,202,314,426,949,307,124,870,680,135,459,272,611,166,033,
107,638,715,642,155,428,879,261,183,202,175,478,521,886,006,657,967,522,854,
324,799,437,275,587,796,052,131,298,059,568,944,392,124,501,591,206,805,652,
902,852,515,183,225,602,268,968,435,188,304,169,323,646,326,446,272,168,011,
601,641,292,982,794,680,800,946,783,279,577,651,399,659,816,136,042,726,579,
623,387,080,211,260,176,882,519,904,394,246,703,708,772,651,390,135,607,226,
203,212,466,717,047,536,506,579,317,954,037,832,124,254,617,756,009,886,080,
191,889,847,643,606,707,067,331,484,272,021,653,118,003,043,162,594,655,894,
364,449,962,627,661,487,878,457,698,328,956,343,423,679,260,631,373,239,317,
035,246,294,621,224,011,417,973,262,507,601,526,441,363,988,478,424,944,880,
950,175,778,965,950,483,565,149,762,470,103,905,068,556,581,609,899,555,783,
687,351,811,387,315,895,428,682,021,931,606,208,678,230,863,333,940,058,642,
110,822,864,994,148,424,710,500,758,314,359,636,762,679,472,025,665,265,316,
481,517,753,662,511,841,628,854,700,633,088,936,385,911,221,704,354,697,086,
089,413,152,615,346,638,997,015,072,036,454,251,367,944,000,746,358,548,376,
628,810,516,850,043,632,523,821,227,858,842,887,276,614,852,147,806,117,282,
830,057,621,896,405,132,088,793,263,617,343,661,873,278,638,014,075,696,900,
253,488,254,863,940,630,750,580,869,960,804,670,940,408,186,429,318,968,800,
366,469,370,184,465,152,929,515,259,184,103,421,640,178,397,226,784,518,193,
718,212,619,738,563,544,191,144,123,422,628,850,632,838,595,238,735,014,113,
793,884,663,657,101,081,708,457,759,245,123,358,287,017,629,489,204,530,992,
625,680,832,188,055,251,786,449,864,364,073,931,537,906,235,142,175,931,445,
675,098,516,000,564,934,373,730,380,248,818,781,208,663,260,188,812,288,268,
763,080,362,573,735,590,206,885,122,823,021,149,068,798,292,974,065,016,478,
754,956,268,337,407,212,129,958,709,474,849,137,752,849,540,108,218,909,332,
351,142,272,593,550,890,497,518,859,795,589,702,952,474,528,896,303,059,188,
923,144,796,277,049,611,424,445,274,507,478,480,694,798,870,496,829,929,878,
136,806,773,197,588,182,994,621,735,986,058,060,607,123,985,312,232,524,913,
366,307,628,430,864,486,650,133,802,099,584,088,825,062,706,710,424,365,542,
513,906,871,220,020,211,983,819,785,954,964,988,167,539,355,877,465,002,068,
052,605,035,066,516,965,253,692,995,644,719,233,146,830,943,163,109,563,793,
204,603,812,013,892,851,672,854,920,485,085,417,882,122,304,591,910,037,792,
513,113,356,959,400,919,595,427,324,498,684,419,129,284,694,964,991,190,779,
479,416,898,927,605,287,191,626,388,671,512,853,337,066,534,258,587,627,688,
224,142,231,673,394,452,643,184,642,807,625,505,563,662,910,034,045,433,129,
695,074,071,007,495,252,634,398,360,259,990,198,130,775,551,127,061,861,750,
383,385,575,786,241,244,380,635,271,108,271,212,201,671,295,651,310,189,950,
120,090,715,802,918,408,920,305,065,545,873,437,034,150,541,675,654,046,932,
115,398,125,946,680,124,129,847,935,023,835,140,533,759,973,062,703,926,722,
641,194,092,924,931,501,168,047,264,033,389,486,152,226,773,770,616,440,156,
872,756,832,491,943,382,828,170,815,000,602,272,901,508,215,483,358,026,868,
479,320,680,270,371,375,983,216,923,909,035,301,300,125,622,314,683,127,798,
289,837,765,568,504,352,678,740,274,491,663,337,802,429,345,719,225,142,526,
584,015,142,933,628,620,140,901,175,198,017,563,996,443,388,576,279,994,891,
571,064,296,175,919,680,832,437,647,093,162,371,329,147,173,433,006,009,570,
558,337,053,556,039,345,214,749,859,506,293,940,554,047,702,331,210,823,412,
481,633,228,352,838,084,214,728,217,445,277,498,521,583,945,726,949,038,528,
009,265,277,509,352,507,140,383,329,053,783,797,996,022,303,489,949,219,910,
020,555,563,984,815,992,248,993,815,372,266,488,255,376,763,215,101,538,343,
547,659,161,757,162,388,933,257,374,202,397,837,113,290,426,727,179,980,035,
651,837,542,613,660,025,164,405,618,859,857,385,789,221,821,277,334,667,469,
602,530,818,659,556,826,692,252,848,435,918,918,143,940,789,075,063,538,504,
182,124,068,825,658,892,803,365,295,219,985,805,183,595,813,815,197,659,395,
927,961,084,294,175,130,140,475,161,730,530,493,824,755,201,896,170,000,165,
615,385,949,941,376,533,736,906,702,848,789,643,936,610,471,568,134,020,621,
271,940,823,640,617,270,430,318,609,176,815,906,533,486,050,973,984,295,995,
132,660,285,183,881,824,699,115,467,847,111,098,765,522,259,281,813,240,684,
084,056,570,438,574,530,709,315,971,316,568,502,311,671,656,316,102,294,095,
598,259,643,553,001,787,740,126,241,693,334,074,037,268,681,972,711,473,832,
828,287,208,599,908,696,406,048,002,098,197,069,971,958,933,881,215,950,872,
771,131,277,410,950,023,087,055,198,288,233,984,311,459,533,266,683,181,023,
808,002,724,824,387,698,273,482,793,642,775,494,311,483,526,047,049,322,136,
380,331,248,669,272,241,062,889,281,366,019,718,938,765,270,538,634,603,822,
399,906,276,733,741,479,473,943,418,449,404,622,841,202,235,529,195,922,260,
444,242,626,806,255,252,641,102,803,555,578,159,373,775,920,954,148,845,245,
423,657,625,298,784,402,289,184,042,361,175,739,814,003,217,484,694,703,766,
077,452,023,946,502,917,195,010,962,171,488,946,061,832,643,510,954,955,071,
782,010,455,199,553,682,533,125,600,698,873,717,292,524,976,237,134,828,318,
194,217,920,935,967,487,983,307,080,550,915,779,798,116,289,426,359,047,247,
062,146,598,714,392,828,331,893,381,726,609,931,900,701,246,999,619,728,553,
332,618,511,083,294,676,997,864,758,900,105,611,913,866,769,646,630,986,353,
815,304,439,737,672,017,120,703,035,310,039,787,211,658,406,223,500,405,918,
987,898,478,054,375,939,006,170,567,601,602,449,057,308,127,366,734,961,810,
588,454,988,252,191,437,899,187,153,141,131,098,745,567,152,891,632,603,888,
064,694,506,575,343,497,003,679,155,962,998,846,287,054,710,447,847,516,399,
198,505,514,580,638,772,828,016,178,523,839,503,284,702,062,509,410,642,760,
156,744,062,622,782,819,362,915,197,285,893,845,461,353,809,518,997,221,471,
225,996,241,787,545,563,012,833,906,521,674,299,399,030,087,487,788,020,855,
472,201,096,913,595,026,310,928,277,634,352,442,150,932,132,203,936,780,526,
387,518,153,135,088,792,429,963,203,650,893,759,281,718,925,566,421,170,195,
250,845,792,095,852,971,725,446,055,543,563,554,907,544,454,257,141,560,146,
730,310,953,674,530,511,547,779,763,606,250,670,811,252,226,009,571,759,237,
031,267,355,289,130,236,147,894,043,485,662,513,286,433,878,291,349,540,192,
845,800,572,777,612,666,084,719,412,948,143,062,235,861,758,100,766,601,902,
273,873,458,092,787,885,900,270,513,480,908,063,881,898,211,125,621,140,499,
995,680,146,620,869,601,531,364,983,154,474,104,274,093,575,741,953,824,307,
002,798,668,500,644,624,275,609,859,980,041,321,264,263,876,521,706,654,544,
496,813,016,300,818,976,861,226,264,035,055,869,183,165,421,321,527,985,411,
891,469,497,774,453,787,463,798,309,235,032,030,190,427,781,825,164,280,536,
488,882,092,828,926,921,569,054,703,446,500,329,716,983,719,017,028,452,248,
340,295,388,713,559,288,987,449,032,488,660,782,949,036,799,992,637,931,021,
944,542,636,514,536,271,514,718,574,248,127,168,582,311,323,472,239,378,641,
580,938,565,517,256,734,708,428,744,372,116,103,991,299,998,359,754,156,062,
451,330,022,568,555,428,498,479,636,555,352,787,939,203,839,707,997,466,339,
704,199,054,456,687,647,272,077,557,445,565,576,695,765,786,452,932,362,288,
847,404,326,261,738,551,600,510,184,813,719,492,379,122,621,260,113,417,181,
901,782,293,190,780,767,469,963,513,303,369,580,228,424,516,766,688,251,654,
133,686,752,430,486,968,817,696,908,999,519,309,198,177,317,899,584,324,428,
363,362,070,749,037,159,953,761,115,549,081,125,620,720,076,695,598,599,102,
145,856,295,864,921,143,108,352,174,333,341,993,725,989,769,340,858,253,751,
367,323,961,747,656,369,079,669,904,927,788,764,147,691,232,374,773,659,735,
651,410,801,479,799,796,889,626,750,414,248,622,257,684,940,641,916,740,671,
381,081,416,469,593,731,114,587,795,413,789,458,685,056,366,260,532,736,612,
867,189,628,426,834,229,198,055,025,929,334,451,796,658,607,701,096,614,398,
767,897,828,235,748,102,726,869,783,381,793,488,668,208,021,888,645,051,743,
615,862,219,933,519,555,200,968,821,984,781,252,461,077,284,621,725,445,501,
809,013,665,971,205,175,620,586,955,055,311,015,071,166,041,196,914,031,945,
384,922,234,284,771,027,065,649,386,551,222,898,749,613,555,214,977,236,588,
722,221,325,994,148,010,564,209,461,470,240,724,087,564,713,739,878,326,442,
945,233,471,134,764,423,691,947,804,938,438,378,560,438,863,229,270,189,101,
185,800,957,052,253,975,854,807,521,204,943,173,607,176,010,228,013,404,023,
671,142,106,610,113,889,850,183,042,411,236,465,810,565,753,140,208,321,578,
092,501,646,686,835,830,356,568,087,841,879,396,154,728,062,042,514,038,966,
705,517,120,200,229,956,183,651,734,218,113,985,553,182,616,028,586,688,930,
378,681,213,699,414,093,259,211,048,329,924,585,339,786,342,374,751,640,766,
904,827,809,362,358,779,892,494,592,961,956,628,899,042,050,454,481,285,601,
247,430,926,583,211,467,453,904,593,897,351,357,236,647,863,511,361,281,123,
483,751,466,124,839,075,317,597,281,356,827,110,192,450,113,899,819,043,945,
235,406,915,295,476,351,741,410,094,184,307,018,942,650,563,486,260,488,667,
395,956,778,326,952,161,266,302,867,156,841,543,376,852,754,564,680,320,794,
682,464,059,589,718,321,997,503,135,882,220,795,354,782,833,042,006,969,421,
479,985,078,035,704,216,830,029,757,827,762,851,625,617,581,432,240,840,617,
560,129,768,574,162,724,157,618,944,322,847,692,311,328,752,213,121,985,936,
158,582,633,150,874,736,900,147,373,043,083,741,274,184,459,335,214,976,226,
605,570,283,406,636,172,696,640,050,431,012,731,980,347,567,915,544,510,069,
817,931,610,053,992,548,342,016,968,012,510,350,492,989,237,114,246,186,847,
646,451,796,379,339,637,015,571,795,503,049,475,969,006,350,253,155,843,415,
102,660,866,028,053,954,833,457,233,157,343,884,777,264,564,524,006,759,296,
355,958,374,207,014,995,825,254,220,391,888,711,385,367,325,521,872,009,697,
570,946,937,383,791,660,140,386,021,471,706,046,403,404,346,351,617,301,448,
172,335,753,958,196,910,198,296,427,683,880,302,731,938,013,710,939,593,381,
654,005,973,896,516,369,648,152,090,915,228,327,799,511,499,485,538,220,482,
492,194,261,935,043,379,740,676,369,006,561,637,148,900,721,143,135,707,955,
163,861,345,771,986,625,744,744,888,818,003,657,374,844,920,805,056,505,646,
357,645,991,122,546,776,438,332,248,498,121,800,177,364,134,013,946,293,153,
905,698,344,624,140,393,509,926,471,011,514,764,580,566,852,620,326,407,736,
978,316,156,264,182,026,621,680,328,493,861,808,966,650,613,054,234,801,647,
707,671,382,849,359,506,775,361,769,194,310,959,364,497,314,190,824,558,446,
863,253,636,961,380,136,430,982,542,840,721,438,480,847,553,112,812,980,849,
869,439,832,409,610,984,350,734,946,093,189,527,944,089,557,489,167,602,061,
109,501,374,653,498,908,391,473,799,319,967,352,657,800,467,886,875,248,340,
597,276,773,151,522,458,039,269,507,037,287,970,626,571,352,607,570,105,120,
328,148,377,714,580,584,053,798,880,776,278,163,756,500,493,898,918,476,362,
575,999,846,561,110,635,788,307,223,789,820,126,593,340,271,802,293,737,946,
371,066,178,925,661,043,142,210,738,482,381,729,714,572,659,953,629,028,713,
129,598,704,655,472,482,861,737,676,795,437,020,709,829,001,352,186,156,547,
988,696,914,947,032,105,247,430,491,680,521,121,455,537,308,560,959,958,455,
251,333,064,018,003,394,100,930,724,418,387,268,677,162,160,368,080,735,313,
425,066,930,055,416,499,688,060,763,847,658,427,975,274,296,036,900,720,551,
294,436,386,185,873,320,466,215,300,438,472,978,573,327,633,340,412,995,422,
406,218,943,672,912,293,524,264,932,799,372,575,628,957,041,387,674,021,525,
846,433,961,585,542,220,702,722,595,824,832,368,284,850,809,457,700,545,669,
882,104,503,052,267,415,592,554,567,151,609,693,477,526,818,448,739,326,182,
267,935,524,064,254,383,429,962,163,085,054,725,991,799,517,882,783,222,619,
902,498,454,452,843,235,416,277,691,345,296,014,166,852,385,929,681,088,587,
884,484,406,645,007,919,616,703,721,712,750,922,504,393,815,179,750,923,627,
321,573,199,145,294,051,021,970,723,021,815,527,613,585,264,936,859,427,713,
270,115,387,737,793,738,418,385,676,054,337,033,641,897,504,115,765,708,982,
846,296,751,218,087,862,285,551,950,259,822,299,076,834,456,575,001,172,819,
119,595,472,664,994,310,929,446,275,982,459,741,445,080,080,007,660,349,624,
427,980,357,667,160,359,643,046,774,840,718,701,505,333,635,161,716,868,813,
190,812,734,443,490,681,329,982,093,616,219,041,313,071,828,992,251,260,475,
538,613,196,994,954,471,678,595,998,085,173,872,395,345,562,475,403,675,028,
352,843,787,737,702,095,499,392,375,000,097,316,919,633,445,865,062,925,408,
162,143,703,397,868,866,209,337,851,309,762,232,456,028,026,822,003,406,011,
148,401,610,330,818,066,048,895,120,872,088,885,410,819,150,660,100,731,115,
575,630,911,910,570,895,139,995,708,056,947,445,357,526,652,876,853,294,450,
187,065,518,166,695,519,018,286,730,426,304,424,260,513,490,523,390,675,650,
288,675,482,822,133,868,371,222,589,914,025,570,777,624,633,830,488,646,845,
768,829,297,445,218,509,856,724,281,207,518,831,550,946,621,351,360,433,757,
854,845,677,729,888,614,145,844,693,440,941,452,363,096,186,174,341,948,018,
513,835,085,770,808,068,620,401,051,411,396,315,898,731,683,365,380,936,592,
333,791,670,406,654,036,784,972,617,580,842,542,090,445,229,573,135,014,415,
974,816,775,496,647,878,916,265,464,189,545,828,056,907,424,590,388,108,743,
695,502,184,182,819,508,882,475,458,784,579,575,261,950,865,446,489,014,910,
156,846,130,812,145,733,802,811,789,494,926,866,442,511,526,534,582,869,563,
395,564,570,779,126,192,430,113,619,654,319,738,809,859,363,667,086,960,713,
582,499,835,146,449,553,780,401,626,541,954,129,386,508,496,672,754,773,593,
586,478,079,726,098,792,705,853,195,396,781,295,410,936,380,548,051,594,530,
784,027,730,984,933,329,669,284,612,234,423,380,985,138,312,560,203,342,779,
937,023,163,438,259,833,647,571,420,317,047,744,830,828,897,453,501,576,301,
804,085,903,324,544,122,941,009,952,729,226,154,045,389,828,945,291,832,880,
369,520,519,928,008,199,404,091,795,947,664,503,816,269,721,416,147,027,750,
321,541,959,280,883,752,376,287,832,747,182,059,497,748,886,106,804,573,331,
773,067,110,848,734,339,787,060,399,680,649,378,872,897,347,085,605,303,670,
686,103,709,168,669,793,299,234,196,326,902,254,998,113,659,089,252,858,217,
941,162,107,240,884,043,346,307,295,649,142,825,747,568,188,161,333,551,655,
965,605,127,919,997,729,813,018,532,723,997,682,162,307,403,405,923,123,590,
879,601,692,939,899,980,920,653,754,837,012,012,783,746,654,429,867,014,478,
400,013,969,723,384,907,726,194,353,209,375,233,968,343,900,734,728,118,769,
455,990,190,398,842,296,081,652,359,906,367,131,134,421,656,903,029,881,966,
217,469,156,499,995,589,305,709,278,429,393,088,596,227,096,852,973,831,529,
777,901,264,012,601,551,283,795,432,771,346,852,184,776,110,378,363,701,812,
329,582,364,736,092,665,605,249,541,019,789,483,689,048,257,681,855,876,429,
653,509,382,582,438,018,643,862,147,011,486,779,332,098,393,046,044,086,902,
542,068,450,085,272,670,973,465,246,160,654,799,603,278,557,251,652,375,364,
004,805,844,606,523,190,154,608,623,428,915,345,339,175,637,726,488,486,937,
985,045,571,595,438,018,531,476,512,569,136,333,833,358,022,314,116,199,020,
779,112,873,343,327,841,914,102,411,232,984,097,023,880,439,515,809,841,259,
168,662,130,747,218,409,637,496,045,015,727,489,251,771,445,797,586,238,253,
711,702,199,086,741,100,194,617,701,239,749,584,760,890,606,052,581,980,125,
939,431,866,823,846,549,724,463,990,158,683,099,788,207,441,672,954,868,111,
680,449,129,917,551,176,817,956,841,484,942,100,417,729,742,792,652,876,849,
617,897,591,869,338,644,530,919,804,421,868,273,738,896,184,173,589,705,054,
856,634,344,964,107,990,818,152,455,238,386,871,487,112,702,978,305,810,702,
232,402,231,189,211,379,882,223,584,486,001,483,594,137,680,879,626,541,886,
158,621,916,125,116,556,159,727,999,907,721,840,105,320,994,068,912,369,393,
967,051,602,546,624,597,926,057,907,786,029,271,911,800,233,428,977,876,389,
907,133,307,531,208,633,974,749,495,225,844,488,444,408,123,100,449,861,744,
379,964,905,899,696,084,848,706,979,921,992,305,392,631,634,919,694,518,359,
532,700,040,678,248,885,212,644,904,326,402,198,196,243,904,052,853,717,161,
701,240,681,343,498,350,794,685,209,126,795,441,849,165,552,554,619,603,883,
413,134,410,546,324,782,467,220,284,470,162,960,918,216,038,606,405,350,461,
594,415,355,660,428,121,418,841,925,038,591,546,111,467,667,998,229,880,082,
740,816,283,369,225,249,991,988,192,881,641,888,983,608,637,120,228,070,905,
305,698,311,916,161,319,964,757,805,664,201,672,190,208,245,105,840,486,426,
687,700,914,106,366,260,648,347,425,188,448,019,849,002,816,930,101,213,488,
921,109,262,178,225,434,203,440,126,939,062,502,869,010,578,881,335,421,126,
932,714,941,958,236,415,224,857,401,181,437,335,451,509,783,010,189,071,047,
277,638,284,677,689,750,512,769,830,555,139,964,514,536,805,005,187,475,819,
150,406,901,595,943,229,238,764,099,103,091,821,455,401,121,160,222,725,850,
211,416,350,504,974,270,258,417,433,595,566,141,590,715,689,744,038,303,643,
629,523,836,160,027,720,071,945,292,908,074,131,963,677,555,560,654,967,743,
263,356,259,913,053,809,042,058,139,629,258,527,993,961,921,891,101,241,187,
742,168,252,131,385,269,066,339,855,859,887,372,433,346,290,122,284,162,583,
281,313,318,265,810,437,217,571,853,695,622,416,902,268,381,851,364,397,191,
817,065,086,723,153,274,908,909,860,471,884,623,934,803,295,289,659,659,285,
903,395,620,945,102,901,551,454,743,352,757,010,214,948,150,796,713,956,056,
519,283,339,927,578,339,548,600,812,602,810,652,640,645,782,901,685,679,562,
901,102,023,805,293,708,975,277,342,508,245,661,590,070,263,886,424,752,543,
077,176,277,844,591,857,380,086,926,151,340,539,893,117,893,599,872,824,354,
799,090,865,263,286,996,162,984,245,942,176,901,985,784,746,155,671,807,867,
039,329,396,895,293,673,770,485,414,613,908,887,409,691,820,189,685,143,606,
494,860,728,347,743,353,947,699,746,098,206,315,061,545,614,759,873,897,404,
143,529,817,155,097,710,586,921,633,597,536,413,182,511,156,269,819,592,038,
164,705,118,020,938,961,860,597,283,223,240,152,415,861,386,638,046,243,666,
686,122,168,429,684,110,608,969,142,430,143,718,912,609,854,678,363,107,928,
313,080,025,956,901,654,018,609,094,283,996,647,728,136,841,719,214,125,738,
177,234,498,379,882,416,628,797,371,857,366,706,695,314,997,426,164,800,966,
774,257,737,722,662,014,278,928,726,213,879,918,319,182,967,126,912,932,464,
580,826,303,851,633,828,092,925,014,839,006,955,491,238,688,220,788,928,256,
878,089,722,700,547,261,370,451,980,627,787,731,005,223,932,382,070,676,830,
342,063,915,693,676,044,409,761,039,626,919,248,081,368,916,474,487,556,973,
122,736,794,966,458,582,344,945,077,167,123,388,307,825,433,464,154,249,308,
494,780,629,528,733,632,452,450,384,476,495,768,366,915,586,965,818,416,174,
155,766,971,633,856,547,210,191,679,799,877,574,635,506,566,372,297,341,858,
203,924,561,280,648,135,578,114,767,686,357,271,529,108,351,197,852,903,149,
573,106,695,950,492,327,265,442,343,753,377,869,730,706,673,174,233,564,024,
295,843,653,596,848,842,768,334,554,618,812,525,836,039,685,145,037,159,966,
414,423,343,584,178,557,937,893,203,832,893,917,601,215,258,935,764,525,458,
805,823,214,146,165,716,631,543,024,770,066,374,503,598,662,360,351,388,680,
247,268,845,962,499,195,952,389,635,304,861,773,134,592,361,524,103,260,268,
478,716,346,611,371,846,592,563,321,689,674,422,949,046,024,365,456,876,957,
890,723,506,390,543,313,349,529,154,579,555,749,910,600,932,962,469,516,371,
707,741,450,596,860,211,893,405,912,724,170,092,093,887,796,133,324,646,992,
730,146,887,811,406,875,972,173,597,188,026,391,222,755,017,069,503,187,335,
947,707,124,280,691,458,598,723,100,542,570,994,040,638,466,822,503,840,113,
568,606,297,836,228,009,319,566,211,249,493,813,576,378,558,620,357,479,800,
811,588,552,342,169,247,457,740,558,873,935,464,918,867,321,783,236,970,080,
212,890,673,717,396,102,022,224,448,508,763,942,580,516,048,962,598,838,912,
429,746,698,235,518,872,921,465,698,662,511,601,032,504,474,230,755,724,985,
098,888,053,844,513,889,473,191,617,162,123,358,009,897,627,992,125,653,836,
372,033,125,520,699,134,975,376,299,915,315,737,548,751,468,672,018,154,522,
087,496,636,788,184,016,709,476,428,978,630,358,625,064,404,773,666,546,901,
717,288,763,924,555,712,255,794,360,805,459,454,247,550,712,984,367,079,260,
393,299,821,709,477,337,112,596,086,795,648,256,180,217,408,597,399,235,238,
032,857,570,553,967,143,691,555,279,245,927,823,734,733,449,073,280,848,272,
148,135,272,142,182,419,127,519,085,964,613,827,978,546,783,593,965,439,227,
223,156,654,836,279,756,638,439,788,043,857,990,263,541,322,922,754,292,231,
067,273,901,445,815,999,451,991,141,151,660,088,975,320,179,238,212,609,352,
035,478,650,154,929,357,845,872,097,728,663,145,218,714,728,560,494,051,130,
546,425,010,053,998,249,308,281,793,999,386,514,213,318,486,343,942,821,163,
134,429,934,712,566,593,412,749,240,965,379,425,638,339,233,845,072,111,507,
400,070,433,015,456,337,686,519,467,922,908,535,421,604,557,635,934,729,003,
870,174,123,429,433,834,088,728,766,219,571,231,514,585,148,752,102,572,322,
612,720,943,978,547,682,926,835,704,111,787,476,971,316,069,310,796,441,172,
761,472,023,409,820,666,682,216,451,967,468,387,608,979,848,979,121,401,903,
014,014,204,984,284,139,377,399,089,172,486,199,900,143,772,342,261,326,772,
922,570,584,234,239,307,164,056,999,277,235,200,974,178,913,618,964,207,095,
810,374,545,767,808,522,243,298,917,623,132,392,143,939,879,444,555,532,715,
104,299,070,259,031,374,836,064,102,101,650,611,526,900,860,469,171,244,864,
393,340,777,319,790,122,787,394,828,271,874,097,892,895,470,884,069,550,768,
878,674,333,111,923,669,980,745,772,013,348,624,371,792,556,785,409,904,899,
796,292,938,272,821,598,841,899,195,673,067,501,748,279,927,903,575,529,902,
846,403,165,031,938,792,253,015,029,910,700,132,213,902,622,415,301,097,098,
178,929,255,038,010,217,482,573,554,577,160,742,947,806,651,070,072,871,536,
287,636,284,939,323,957,440,032,798,098,459,868,135,619,913,216,961,781,404,
890,361,461,604,304,429,993,915,480,739,378,516,362,159,618,542,986,700,553,
219,554,002,836,458,967,600,060,957,031,148,788,469,517,920,700,837,433,458,
728,703,508,428,006,191,466,826,324,057,707,995,923,734,690,499,037,664,269,
114,742,489,843,175,319,952,773,120,342,582,457,233,549,683,137,111,496,798,
628,357,159,252,865,580,510,560,718,121,268,608,156,261,153,276,149,078,057,
661,389,923,214,559,107,405,141,784,487,011,422,248,987,773,405,201,205,909,
100,970,580,829,339,912,126,633,604,550,630,865,629,099,550,681,352,592,674,
086,012,651,109,361,201,845,804,525,606,012,076,089,159,352,987,313,089,408,
676,118,122,529,756,132,160,640,025,922,674,474,719,684,666,191,218,768,645,
140,712,271,518,456,604,756,617,340,680,570,359,720,110,871,060,798,434,508,
419,772,738,442,191,804,635,205,888,433,912,707,496,057,902,663,849,469,087,
629,931,687,798,414,429,629,174,074,375,112,913,719,411,009,108,032,180,425,
722,307,326,499,574,499,648,637,532,295,348,527,678,893,659,305,889,914,334,
358,740,804,180,366,287,783,679,128,371,614,074,223,775,168,173,644,786,860,
875,402,942,419,031,019,801,386,240,597,406,715,883,814,483,695,987,144,833,
371,244,687,626,963,158,578,160,128,314,035,532,208,401,840,503,181,278,759,
207,483,000,500,113,028,267,201,547,573,234,354,528,774,543,041,586,288,358,
969,666,908,943,358,161,826,701,169,460,825,195,743,070,157,303,973,835,102,
808,850,944,481,888,068,746,801,517,095,885,866,037,994,726,116,859,435,580,
476,048,488,391,314,665,318,933,022,892,461,487,329,505,116,828,995,339,885,
912,366,735,194,353,004,145,192,024,767,701,359,432,900,841,539,734,486,053,
046,616,344,824,304,233,198,127,737,961,659,195,272,306,596,367,689,362,365,
206,414,258,195,564,969,739,092,546,693,648,341,858,271,714,049,648,910,047,
325,294,272,604,655,132,110,409,095,226,888,086,653,887,688,384,365,583,590,
139,830,492,448,858,240,032,275,827,266,202,515,335,847,148,414,889,976,479,
179,246,960,061,647,434,605,234,131,313,678,268,745,190,404,490,648,975,221,
841,865,028,983,621,427,290,562,959,755,144,897,989,031,344,836,943,510,184,
579,035,788,819,472,703,218,809,961,670,331,251,571,918,373,521,802,174,601,
840,950,052,803,819,850,098,832,787,565,216,925,611,479,681,280,872,370,380,
089,972,626,744,028,809,362,836,195,116,230,860,583,166,326,210,689,182,577,
707,947,949,636,719,601,242,573,135,781,860,695,230,240,594,557,577,828,377,
721,408,283,691,973,426,569,039,850,513,784,904,416,767,454,260,867,854,731,
478,400,444,690,247,537,001,557,696,506,219,226,219,301,968,731,429,997,654,
837,475,847,584,572,731,067,534,382,903,732,745,419,227,156,944,331,185,540,
491,508,362,437,011,479,989,263,916,489,731,392,962,533,755,473,863,030,121,
832,536,747,736,687,891,579,809,479,138,279,661,362,938,354,415,366,637,110,
779,244,309,589,626,759,599,132,354,385,358,945,522,250,158,761,924,781,663,
554,367,293,047,488,935,091,891,805,963,942,754,732,094,589,566,687,404,456,
306,471,440,643,888,132,928,066,428,125,970,846,399,526,518,416,886,660,293,
401,262,622,749,373,985,430,643,599,239,813,432,382,969,024,383,811,529,197,
206,921,685,289,470,183,978,136,954,278,552,114,793,967,205,800,529,484,145,
634,451,061,113,129,956,629,559,371,472,589,025,256,530,548,613,239,219,436,
838,459,047,971,443,894,158,044,012,364,475,702,821,092,998,693,899,693,657,
604,613,062,546,475,425,481,416,518,909,881,191,092,604,190,861,563,734,007,
173,218,872,618,727,745,707,294,424,029,245,216,180,307,111,413,676,683,134,
910,927,844,049,072,511,485,980,207,689,936,972,217,730,537,663,399,363,376,
931,448,688,430,463,356,477,037,721,883,145,910,232,421,231,833,380,836,249,
784,010,188,387,039,570,473,629,957,033,903,892,121,677,823,271,676,897,100,
520,117,601,582,606,894,871,318,175,853,104,038,832,908,154,475,227,614,943,
795,272,039,587,781,173,918,440,080,553,227,224,891,607,985,644,546,142,196,
095,420,596,224,489,540,319,638,387,553,766,419,154,839,630,077,662,841,731,
944,955,229,108,985,342,831,518,945,609,542,218,061,526,860,674,653,729,699,
734,031,230,204,434,117,891,106,234,899,394,793,976,937,248,419,144,291,414,
568,419,327,657,652,399,006,047,744,024,852,970,553,859,172,407,112,329,750,
023,139,032,349,637,533,495,680,558,179,713,004,968,086,394,952,375,844,365,
074,755,989,670,998,569,426,946,463,655,234,636,829,389,526,692,091,688,385,
771,961,191,677,560,658,217,097,344,491,620,492,168,186,920,075,057,401,687,
729,356,311,805,340,187,811,349,875,176,727,399,436,929,598,663,935,507,573,
315,178,079,518,823,749,891,070,847,319,331,587,607,312,944,909,582,162,493,
554,082,105,402,624,930,695,543,595,531,763,857,589,983,191,982,653,384,056,
895,178,742,342,669,847,996,928,855,017,248,532,335,581,414,435,503,717,131,
200,251,816,598,155,547,847,430,403,217,814,642,021,812,567,310,873,605,452,
601,672,725,206,229,089,089,982,227,768,203,214,809,138,113,291,992,071,463,
413,321,382,632,261,939,136,403,969,557,229,802,401,779,889,838,449,231,416,
324,741,992,980,854,489,099,198,442,735,061,012,863,214,574,398,327,590,673,
169,044,673,856,426,278,504,892,768,896,140,314,917,550,859,322,511,151,366,
124,590,808,530,909,082,997,975,424,285,917,809,524,602,821,455,363,560,886,
314,938,852,195,979,928,345,372,312,577,228,754,893,635,922,315,722,091,293,
411,730,478,879,027,749,060,328,690,701,442,706,145,030,705,068,819,948,459,
213,898,938,835,150,504,558,848,007,384,459,185,319,705,045,993,601,007,099,
677,510,041,579,325,702,234,808,724,519,735,090,733,308,894,524,274,987,842,
541,346,760,724,380,936,045,711,948,488,780,481,927,243,031,594,429,325,579,
588,387,115,561,644,409,004,757,427,689,208,666,782,268,366,170,141,480,689,
556,096,944,903,731,608,511,438,753,309,706,227,788,865,679,208,546,331,940,
001,063,704,450,730,421,972,351,390,430,725,169,137,186,016,024,418,107,906,
534,970,446,859,172,459,838,394,347,357,702,043,461,487,279,856,852,321,107,
188,849,228,220,582,572,469,657,414,908,503,739,963,365,326,720,883,230,745,
320,582,447,957,426,318,038,039,940,333,416,822,551,154,461,366,041,052,406,
153,297,238,602,859,639,997,920,335,906,307,047,342,391,045,420,317,200,099,
155,109,386,796,858,032,753,690,875,406,661,354,865,926,103,587,862,997,710,
414,711,286,933,614,128,293,802,153,609,434,786,298,623,727,662,973,952,666,
908,161,408,258,367,271,562,338,462,996,608,139,489,710,598,549,203,969,970,
563,371,574,420,445,848,041,003,931,584,015,874,367,223,821,565,879,867,685,
074,427,288,681,143,388,387,516,306,054,978,473,151,505,985,984,182,493,615,
864,636,528,060,408,576,804,025,200,419,635,626,751,885,871,646,145,284,922,
314,468,681,552,587,924,350,046,545,200,032,183,340,864,649,271,793,845,965,
465,916,141,338,445,836,560,821,755,098,043,101,440,424,081,690,244,069,467,
019,569,539,343,085,324,803,276,706,756,829,273,066,673,122,482,208,139,165,
878,366,369,457,624,865,693,672,989,633,350,949,717,357,452,110,214,175,391,
818,940,328,414,802,296,581,674,744,395,560,620,135,841,071,419,514,682,014,
957,184,182,689,775,480,005,872,485,004,878,077,773,427,454,401,300,594,570,
458,144,620,710,436,416,802,452,915,660,413,868,749,054,642,584,970,788,882,
403,909,232,974,531,625,736,509,493,564,301,738,044,685,083,298,197,648,014,
462,064,867,173,510,788,611,756,453,481,865,721,322,844,877,266,661,854,534,
747,448,185,329,883,706,302,320,128,191,996,632,588,774,680,439,302,434,611,
985,426,912,080,271,447,036,325,571,620,474,264,423,081,988,440,903,039,954,
716,338,492,570,870,840,249,214,375,916,966,533,220,440,593,161,503,917,571,
513,764,568,330,254,624,515,718,858,954,565,797,800,389,716,645,691,270,144,
282,967,034,305,355,025,357,479,689,430,015,337,063,552,325,430,174,609,808,
863,329,285,827,570,010,542,226,990,859,931,951,226,464,419,449,255,307,234,
569,714,254,730,954,231,294,866,149,163,810,797,307,260,926,183,343,765,232,
039,696,670,314,960,496,250,503,291,886,798,873,770,071,889,469,715,773,925,
980,303,981,271,000,012,921,150,017,441,370,767,048,139,755,015,156,946,680,
544,176,656,910,937,048,317,699,645,506,693,524,567,637,360,063,553,265,886,
427,074,017,028,937,749,613,686,600,483,841,691,341,028,952,214,658,165,534,
584,882,373,376,832,019,401,571,972,854,882,166,209,567,764,364,785,648,184,
056,273,888,910,898,182,267,042,374,494,371,403,946,954,027,876,111,669,314,
511,671,496,415,104,184,696,617,431,299,614,201,995,223,497,853,498,790,643,
737,761,317,379,450,021,626,879,742,769,104,578,217,474,386,867,938,098,252,
493,420,889,390,195,153,649,357,243,125,105,182,546,046,833,656,900,275,051,
423,541,519,146,583,903,625,689,313,593,824,142,821,785,436,472,870,141,670,
871,848,602,983,590,100,660,513,648,631,092,646,118,201,469,668,227,444,824,
186,373,171,334,538,705,385,436,418,158,149,742,383,927,261,181,600,084,879,
244,761,276,075,510,608,667,676,786,482,505,369,429,098,523,401,492,646,405,
105,545,506,902,579,027,383,420,919,737,933,358,687,692,899,900,509,951,469,
891,216,387,035,082,334,731,955,205,018,130,899,578,182,653,724,507,692,615,
346,290,347,325,597,451,550,806,510,088,815,339,471,181,915,146,944,767,101,
525,981,567,202,126,510,283,455,607,139,368,080,997,423,448,285,791,477,308,
059,578,926,596,097,210,607,206,967,254,787,625,002,926,999,532,786,460,289,
295,193,207,984,740,805,951,122,914,698,019,023,104,625,772,669,468,327,356,
217,513,090,809,466,389,947,645,116,945,205,822,127,435,470,488,605,768,376,
007,574,484,671,395,397,750,868,775,110,224,151,975,790,230,920,838,829,423,
756,856,425,762,937,112,479,112,800,753,078,457,143,160,162,764,742,019,539,
016,369,984,835,146,625,075,055,727,319,160,503,713,828,285,158,226,392,910,
996,591,247,920,904,445,132,787,389,705,297,222,635,876,753,418,044,599,186,
557,702,450,156,817,717,447,798,189,373,122,560,328,078,532,789,983,179,252,
698,666,301,156,779,540,616,475,343,256,699,292,268,698,590,095,760,800,255,
049,001,853,418,134,020,994,199,953,211,755,435,235,844,026,279,464,273,858,
122,163,696,784,805,359,995,277,620,543,914,456,003,452,602,205,193,257,031,
224,755,644,521,406,954,186,821,611,370,552,438,373,613,654,024,674,846,863,
955,894,120,674,837,979,446,850,896,898,453,074,474,338,422,104,732,277,928,
193,969,728,562,987,479,058,474,082,812,058,094,747,890,855,064,462,060,914,
760,613,258,470,495,418,685,941,444,343,321,849,622,677,122,756,898,170,748,
820,386,874,696,007,969,986,924,409,944,679,032,728,988,224,922,264,659,213,
497,460,204,577,042,676,011,216,299,704,457,628,458,889,247,124,814,960,706,
983,781,454,378,578,061,748,259,087,605,448,397,561,474,821,625,841,267,071,
891,064,457,302,978,109,403,919,616,686,707,811,859,845,531,939,984,586,836,
649,595,881,299,787,177,756,128,439,995,737,151,914,312,216,437,697,894,817,
694,707,428,630,489,365,949,643,659,184,919,704,986,244,827,000,141,158,535,
627,806,678,566,281,561,946,448,586,023,845,754,191,703,043,704,519,636,519,
950,905,783,009,514,033,893,880,912,746,640,332,706,052,567,358,507,438,572,
010,472,067,666,032,675,400,348,303,280,977,928,773,134,335,359,227,959,166,
339,847,895,241,246,869,468,038,163,870,633,363,871,974,207,948,329,201,266,
061,772,444,062,292,284,916,747,298,454,847,885,916,411,171,305,404,888,479,
137,395,674,789,103,568,694,319,281,951,479,044,192,236,125,788,766,064,368,
069,469,549,438,225,262,551,765,932,589,531,172,184,708,377,459,647,177,571,
068,335,652,139,460,769,926,217,103,023,279,861,697,752,257,326,949,835,108,
073,231,561,378,688,590,642,554,128,475,421,545,435,271,467,771,143,386,165,
167,590,378,258,031,586,718,822,163,859,949,377,977,991,401,041,207,800,324,
205,423,568,548,131,141,254,441,623,686,355,992,967,458,785,808,129,626,229,
675,514,630,197,638,536,639,895,393,708,330,764,964,799,567,088,098,160,592,
563,732,205,912,620,709,738,915,181,680,886,779,759,085,231,067,433,965,630,
103,829,679,079,469,791,170,088,622,513,183,274,745,914,875,845,512,598,927,
553,683,116,586,647,793,821,549,486,261,744,063,706,201,603,829,340,631,428,
441,970,947,113,906,851,571,317,489,032,944,279,514,283,314,068,003,677,072,
501,560,850,408,356,922,640,389,269,115,054,173,905,881,667,210,611,145,341,
121,162,821,959,445,066,386,630,763,028,664,525,227,369,903,132,361,293,224,
112,624,691,683,341,853,678,652,771,694,412,780,797,689,468,039,049,377,426,
051,582,816,286,451,213,831,715,568,080,615,540,061,058,570,049,891,640,012,
147,779,864,669,190,475,847,547,276,958,614,651,550,826,294,427,019,005,810,
907,827,506,726,375,762,275,292,216,271,978,823,882,649,571,839,428,028,607,
737,654,637,064,465,133,311,536,937,352,365,084,072,955,454,548,784,630,897,
810,310,062,941,541,061,998,777,898,752,996,997,305,293,513,303,159,626,381,
189,781,720,560,766,597,424,014,210,429,307,405,903,713,434,084,859,232,861,
362,338,206,912,944,376,098,545,924,383,743,317,485,154,352,827,228,571,007,
300,348,649,518,756,319,624,482,032,110,557,200,827,032,480,136,916,743,449,
923,493,476,878,190,340,910,595,883,379,117,510,476,414,421,645,994,418,120,
638,804,086,929,313,886,504,793,541,643,928,119,110,218,016,670,624,060,832,
468,809,112,384,378,341,570,769,670,714,169,948,614,542,900,309,886,465,723,
853,844,589,034,574,496,677,162,125,720,261,388,321,833,797,012,902,101,980,
758,924,862,034,574,267,806,993,096,451,265,167,242,223,599,075,267,332,132,
014,268,423,466,853,072,716,785,517,956,782,233,483,900,966,684,640,684,152,
016,365,160,664,794,109,937,828,098,907,387,308,363,970,307,217,467,911,067,
551,923,396,095,602,693,958,959,784,622,960,270,010,106,882,476,726,897,904,
110,337,749,287,141,543,397,846,934,909,928,532,483,672,081,899,008,084,878,
536,477,744,234,259,908,101,203,331,341,206,950,769,143,957,534,430,524,634,
223,742,405,349,328,734,191,005,284,947,004,446,247,884,528,135,354,103,553,
961,633,364,584,254,015,076,045,445,596,651,551,304,974,230,023,591,331,140,
798,667,884,171,520,954,156,967,833,081,835,095,016,788,648,959,116,574,703,
993,880,840,184,464,651,373,653,547,307,247,704,601,510,844,867,061,480,577,
254,280,311,757,525,486,177,889,522,176,584,945,862,512,718,131,734,424,040,
514,436,493,782,951,594,843,019,329,528,678,311,791,834,453,045,337,868,496,
815,691,847,859,317,300,413,139,463,910,502,762,643,313,309,133,432,710,425,
744,399,425,564,937,767,305,168,240,822,907,685,016,439,363,355,001,183,284,
341,205,147,792,698,844,722,026,072,973,658,816,211,198,366,090,085,413,677,
712,647,379,729,130,755,346,415,526,704,290,282,484,411,881,137,838,378,201,
530,749,041,301,609,265,161,298,622,446,809,629,811,419,309,403,245,606,559,
980,791,208,956,930,081,359,301,102,386,445,580,095,453,477,744,395,663,335,
378,306,858,641,910,378,490,601,830,084,783,936,988,282,141,989,257,848,336,
564,464,029,803,016,629,472,091,553,152,629,670,860,026,569,876,636,005,981,
290,780,497,052,843,338,557,363,366,364,019,436,110,434,202,235,161,283,887,
828,418,877,081,722,304,855,628,701,653,136,939,793,272,554,627,976,367,686,
971,257,246,085,945,284,568,200,804,976,258,592,549,223,160,390,126,639,706,
592,351,388,637,107,094,012,462,413,418,722,538,542,132,140,009,961,099,345,
275,911,194,842,981,365,365,337,796,212,441,130,546,091,381,274,263,268,084,
547,463,633,794,083,849,358,158,583,865,695,381,182,503,532,036,831,941,623,
670,490,981,748,757,655,987,000,563,909,298,168,009,015,947,879,931,861,217,
079,951,237,786,160,714,693,534,186,430,606,378,230,980,871,335,168,666,432,
895,949,516,472,249,335,998,941,789,115,338,887,914,517,481,541,028,392,839,
434,180,765,000,895,038,226,251,003,849,545,039,498,316,912,743,840,247,859,
088,298,538,292,174,855,336,347,809,935,675,188,281,050,928,385,039,914,933,
047,075,150,749,871,077,087,611,756,283,683,482,254,198,007,935,331,878,339,
552,013,531,288,713,549,996,391,739,705,651,036,512,288,895,054,639,946,788,
843,760,336,973,572,911,382,418,648,212,370,215,313,367,487,121,583,583,903,
611,760,830,410,648,854,358,378,891,301,043,280,533,815,248,088,254,451,046,
870,851,199,134,847,943,502,958,782,530,713,283,703,644,466,074,515,918,626,
118,291,838,850,959,372,604,788,715,090,714,960,541,976,464,747,348,383,825,
428,575,768,834,545,537,656,513,734,801,835,670,547,925,736,517,316,379,314,
382,857,665,564,848,005,622,082,740,576,983,562,838,734,221,712,504,097,610,
141,620,266,541,313,827,563,339,066,243,706,183,609,279,298,568,214,039,740,
816,238,351,164,678,495,028,874,583,392,758,097,572,595,560,160,201,597,437,
798,322,847,892,586,169,135,067,630,547,357,132,012,419,494,672,586,574,667,
267,326,050,378,676,849,689,159,762,406,633,915,669,336,976,843,793,527,087,
183,371,528,318,440,286,883,692,170,943,228,036,984,596,694,647,382,244,046,
420,109,903,150,886,790,828,525,830,897,846,820,507,459,308,610,597,066,039,
594,565,176,550,201,033,457,156,382,783,240,230,876,559,091,767,601,019,697,
765,725,622,945,555,102,911,841,664,782,111,276,969,343,630,791,463,393,483,
957,703,600,141,259,964,595,289,105,615,623,024,641,196,144,285,718,748,480,
800,988,166,164,821,878,390,335,041,786,091,465,352,846,446,086,194,581,215,
854,929,040,946,323,615,975,141,953,146,605,884,302,017,687,088,502,993,598,
304,756,332,574,149,045,669,475,135,572,570,574,901,076,563,670,406,537,872,
281,214,751,258,851,366,566,329,632,831,079,426,282,689,250,582,292,697,328,
685,754,836,292,821,572,992,409,280,300,329,119,066,313,477,709,730,836,551,
521,677,260,232,281,731,024,971,531,319,540,428,370,935,096,834,150,208,226,
466,721,262,958,673,102,619,100,675,014,920,972,581,337,220,596,311,492,710,
522,419,976,321,328,354,694,008,281,337,434,267,887,337,240,506,212,168,698,
266,510,639,095,039,714,464,023,717,819,349,505,623,746,667,435,897,841,865,
470,928,555,450,898,367,961,454,324,439,438,132,795,458,939,954,987,427,795,
174,264,331,829,056,894,819,051,158,532,208,159,693,352,530,935,591,302,214,
530,810,964,338,452,492,615,374,638,787,396,928,643,751,620,086,552,688,578,
560,184,001,562,399,164,514,903,414,549,685,671,373,720,740,811,228,226,105,
907,093,778,804,994,919,610,181,412,969,799,281,556,014,070,752,655,867,020,
443,367,620,715,323,871,632,473,818,252,193,286,688,092,588,862,472,001,955,
192,114,756,252,155,668,908,041,249,127,291,984,949,764,260,160,325,769,748,
193,455,506,059,445,684,217,461,027,961,063,020,136,581,662,775,134,696,978,
637,110,157,421,674,313,699,180,522,587,881,237,482,969,364,628,701,790,910,
404,785,552,084,881,088,837,215,594,544,480,081,464,187,585,249,263,255,239,
386,747,167,823,906,161,087,619,321,353,775,435,760,092,375,631,467,512,428,
558,748,116,715,394,591,405,529,159,854,506,703,805,499,694,009,975,580,886,
286,718,198,583,211,795,877,942,187,174,277,051,440,096,705,745,410,883,346,
061,632,565,216,399,708,738,305,792,449,029,476,127,317,538,666,446,176,967,
276,430,560,721,918,660,859,206,013,695,221,187,891,338,897,414,733,344,501,
502,069,851,058,397,653,924,222,203,513,280,869,765,483,789,392,568,608,448,
028,930,075,313,907,072,437,200,408,096,216,620,216,398,467,731,542,571,564,
413,272,345,172,759,951,148,177,834,340,674,245,466,936,047,761,347,651,451,
393,160,229,622,438,425,935,313,156,303,158,373,250,700,322,072,367,583,008,
756,675,611,392,407,053,182,060,794,791,232,351,944,508,094,630,355,691,833,
332,137,162,566,267,025,003,953,340,706,836,527,269,238,219,107,319,697,323,
097,652,224,890,877,724,038,398,379,488,801,951,592,822,215,168,677,028,941,
552,320,543,702,446,472,965,910,539,738,653,246,691,622,134,278,383,442,292,
619,170,717,751,893,876,790,031,225,838,975,264,243,968,033,868,874,747,831,
661,257,050,202,983,369,154,552,333,250,867,253,556,796,464,896,584,045,763,
257,721,918,743,622,361,051,109,038,207,160,113,568,347,396,501,556,726,031,
544,868,292,314,831,285,092,343,781,617,003,553,269,821,850,774,827,656,413,
901,647,417,925,206,767,285,557,574,634,116,287,215,986,522,153,785,572,929,
659,940,698,634,536,617,859,169,065,553,771,581,575,342,407,704,041,873,441,
625,375,140,663,903,055,421,671,557,904,491,360,314,647,114,027,360,729,480,
074,846,562,150,044,352,476,560,180,608,293,019,505,368,084,293,041,576,490,
589,058,524,904,146,474,626,992,657,192,613,200,159,061,951,133,192,699,672,
773,509,504,718,387,331,180,725,667,879,788,081,366,202,766,467,895,769,098,
480,278,035,855,912,380,089,741,986,182,122,416,207,706,859,554,889,638,466,
887,962,527,961,890,852,574,494,122,443,044,583,043,852,770,567,315,355,761,
503,706,636,487,885,069,969,121,037,065,886,381,052,536,182,532,668,319,513,
493,797,642,429,449,202,877,158,728,629,909,825,867,319,656,572,712,217,704,
882,090,212,324,036,342,879,166,722,779,421,385,950,139,548,056,284,163,715,
716,296,247,933,648,261,657,629,542,021,257,278,334,279,020,495,174,111,292,
056,839,668,316,323,785,260,288,078,411,933,493,213,343,078,349,268,861,902,
781,559,858,500,297,934,040,451,735,639,903,187,768,262,107,833,770,486,161,
795,473,824,958,257,778,661,814,901,696,994,717,945,620,227,849,435,103,879,
807,148,698,212,261,338,578,180,915,443,671,764,867,161,971,130,657,945,034,
945,701,863,781,088,130,623,718,819,150,161,928,452,249,846,548,029,183,675,
841,429,623,655,109,221,643,796,859,386,734,582,723,160,924,739,598,329,499,
528,225,611,653,586,437,420,286,355,826,307,456,172,917,493,651,756,678,605,
188,051,442,664,948,022,568,375,119,176,294,934,157,366,808,816,830,379,550,
389,527,630,382,851,349,646,270,347,619,079,781,932,592,401,131,043,608,746,
895,421,076,057,444,182,065,751,629,411,784,979,108,628,215,392,204,767,952,
736,177,792,895,138,415,125,116,903,422,067,014,164,777,117,064,859,845,648,
904,733,625,216,352,985,912,349,794,577,456,654,042,968,451,269,293,671,443,
331,280,521,987,940,643,536,617,502,948,915,511,876,318,744,529,257,953,665,
723,436,712,551,851,918,739,115,215,865,445,197,628,825,484,127,460,149,880,
277,784,646,134,701,142,102,814,463,650,609,973,800,109,960,695,655,830,039,
849,321,486,659,400,273,569,970,347,701,726,884,770,001,728,863,050,892,423,
574,017,812,509,492,900,241,037,711,279,751,996,920,828,818,191,972,278,926,
783,771,519,060,621,523,685,668,428,471,017,975,862,987,808,940,399,026,119,
929,290,321,040,663,207,307,652,783,722,434,166,201,319,054,114,586,781,104,
336,633,159,254,947,127,248,860,036,080,303,214,690,238,735,589,895,879,547,
641,700,684,334,472,989,425,182,894,069,439,862,809,086,153,160,498,630,536,
465,354,392,052,336,189,393,064,622,241,818,234,278,023,930,570,129,094,688,
789,413,782,413,228,752,407,549,625,229,806,411,841,770,976,170,194,088,439,
626,196,154,729,351,038,656,582,720,716,181,124,288,614,876,847,328,483,449,
342,706,821,951,288,142,354,968,149,501,870,476,810,981,153,516,516,418,688,
986,933,782,368,494,700,766,177,701,231,986,638,136,116,913,972,873,633,957,
062,647,164,493,111,153,782,920,110,313,613,054,132,899,133,864,734,923,035,
594,502,984,383,685,454,072,576,424,093,737,845,314,029,960,039,510,027,170,
740,293,658,718,669,300,958,130,080,510,562,048,274,366,583,249,592,546,375,
551,138,000,676,609,502,231,836,099,177,200,971,040,061,767,801,161,537,076,
670,749,902,543,902,132,493,392,563,694,139,188,537,932,829,571,845,328,417,
341,944,944,142,173,601,442,480,860,397,648,755,704,037,329,500,945,119,133,
100,774,526,667,189,728,383,133,716,189,551,944,750,727,744,614,794,591,720,
937,401,947,494,424,532,030,383,581,376,231,136,079,553,139,847,523,892,890,
021,397,621,714,344,318,917,349,397,706,153,311,651,731,092,218,039,006,473,
074,609,924,376,510,334,677,336,828,117,083,725,262,798,563,841,742,481,016,
163,869,208,103,405,695,047,223,668,584,571,375,164,837,494,770,830,622,664,
711,371,604,685,963,449,271,762,804,181,277,563,242,520,198,007,295,343,286,
833,105,998,330,034,987,222,723,994,556,688,075,839,771,739,733,086,902,023,
358,663,969,279,183,243,550,347,285,530,920,653,486,466,071,950,044,724,696,
151,353,107,079,287,566,344,226,217,795,643,143,967,602,132,990,981,045,478,
729,031,335,748,473,590,663,757,808,204,536,750,520,397,907,960,566,079,415,
973,571,101,500,719,489,352,613,199,834,066,470,599,325,614,482,053,761,561,
717,023,614,342,284,024,131,420,987,281,196,361,112,999,801,096,401,414,265,
714,968,044,261,636,622,897,915,428,746,404,846,077,907,668,523,107,662,523,
140,481,633,680,113,157,572,337,580,855,132,377,632,186,253,921,058,695,679,
573,363,813,519,475,224,614,669,340,906,770,053,295,627,608,458,755,114,942,
473,382,392,011,598,371,832,133,248,803,040,195,089,694,864,658,057,198,000,
970,474,015,692,488,294,688,700,485,618,360,461,628,722,861,329,232,030,305,
259,720,154,771,761,326,226,925,291,445,383,959,795,722,857,801,547,426,474,
585,954,746,482,419,385,296,545,974,114,096,581,257,897,282,407,738,743,926,
422,486,539,852,156,099,602,706,725,144,522,715,587,403,737,058,403,461,488,
711,754,709,638,487,585,812,919,725,513,035,336,223,108,662,489,517,176,713,
238,981,975,893,548,227,432,514,513,023,149,449,795,043,633,133,621,179,276,
086,896,304,589,589,772,924,067,791,539,018,659,347,067,941,791,677,148,487,
077,892,221,713,028,435,832,209,811,650,616,445,192,324,385,465,752,594,578,
922,401,798,014,778,123,455,794,066,387,561,608,363,386,354,528,421,733,089,
180,173,533,923,891,696,827,614,297,305,575,416,380,380,763,623,510,961,961,
921,446,414,904,035,007,409,657,198,246,242,064,278,215,282,944,354,589,140,
036,110,179,020,327,594,369,621,688,004,290,826,563,339,071,472,342,175,872,
394,788,486,233,907,126,844,839,681,077,330,581,536,984,114,352,608,336,302,
222,013,454,852,413,639,917,486,100,576,078,288,222,994,826,403,571,403,797,
665,006,901,202,662,972,705,882,812,428,653,312,391,532,078,502,124,942,529,
494,993,949,064,154,187,886,880,858,720,238,116,147,451,655,659,835,119,859,
782,022,543,504,262,862,003,982,518,292,633,283,273,616,530,238,179,714,016,
939,386,558,704,408,937,579,198,284,992,616,523,775,625,765,808,336,147,715,
614,499,013,362,077,651,841,243,448,692,734,799,429,811,121,636,412,832,411,
754,494,756,599,337,585,633,897,788,189,408,964,550,822,211,929,042,613,757,
459,139,316,842,452,021,637,999,942,147,343,085,209,226,753,326,479,626,795,
886,438,333,776,078,145,935,584,742,326,405,572,574,575,915,812,124,682,924,
488,842,307,501,157,507,225,428,607,306,171,511,990,451,960,368,159,365,021,
830,570,488,916,332,015,101,515,907,732,256,776,288,834,372,909,976,870,263,
579,656,795,438,068,822,441,929,238,941,597,002,631,617,060,491,539,271,140,
187,889,548,268,459,958,869,595,802,836,737,533,962,712,918,502,027,912,096,
934,038,033,812,072,459,781,533,044,999,157,866,334,433,227,559,573,354,861,
880,213,029,689,014,484,160,212,694,619,507,064,093,702,095,312,734,099,827,
940,111,262,211,671,248,424,055,243,210,594,450,985,823,044,837,722,226,201,
676,150,661,108,798,988,874,105,286,791,532,424,442,556,808,187,145,869,320,
067,314,076,892,346,319,585,651,592,747,892,625,350,776,078,774,352,904,131,
662,588,465,802,509,257,809,208,784,116,077,284,163,637,438,647,747,668,398,
667,942,953,711,351,181,585,037,626,197,766,942,942,307,085,892,315,403,337,
417,802,156,990,961,211,041,153,591,079,300,818,073,386,452,506,139,919,739,
158,088,912,980,900,756,718,302,366,271,293,600,317,925,539,697,850,738,930,
789,016,223,705,699,965,232,250,804,941,458,867,381,145,588,661,497,997,651,
827,653,759,160,413,121,385,267,733,218,442,863,237,081,637,227,772,164,974,
972,611,111,819,890,561,489,661,896,566,250,006,671,293,727,863,595,789,818,
249,749,483,506,413,627,936,123,879,165,738,287,524,004,029,208,040,094,321,
253,778,127,105,880,662,798,614,401,710,459,570,527,639,994,561,564,388,652,
082,506,202,104,001,680,831,102,895,714,952,833,327,015,476,220,831,481,994,
761,399,330,011,010,622,487,717,673,965,076,353,432,528,339,223,338,193,779,
742,523,134,657,756,174,135,391,457,299,519,692,032,319,948,570,851,762,048,
359,239,965,790,070,364,431,083,187,765,667,579,364,584,473,353,597,625,115,
520,936,085,522,992,076,605,087,237,522,655,828,285,513,410,053,374,229,672,
341,402,583,827,018,001,501,404,520,119,782,823,209,106,849,767,666,146,087,
172,904,965,319,647,679,008,912,802,745,568,690,314,066,464,649,391,980,417,
456,346,152,025,679,306,569,301,923,762,506,728,027,421,087,951,827,106,496,
158,063,512,367,785,756,328,673,487,738,946,571,672,710,400,303,327,949,673,
906,492,767,303,435,987,079,116,071,164,113,967,328,335,206,280,066,807,889,
662,035,269,024,944,554,642,459,622,241,029,297,659,720,164,732,933,385,977,
722,840,072,504,395,361,230,419,706,937,653,125,639,464,364,344,596,486,317,
641,328,031,072,542,410,112,143,941,604,369,756,028,592,063,752,671,219,716,
238,597,359,713,105,980,081,845,901,984,151,459,605,104,333,380,321,389,162,
636,960,717,480,575,949,952,588,231,592,415,029,236,706,866,971,216,166,305,
582,291,321,782,371,778,303,093,653,625,435,600,392,688,359,308,195,259,296,
215,832,119,853,098,574,940,999,504,212,040,777,297,755,981,329,627,768,090,
095,318,513,456,849,218,029,412,604,768,977,515,548,028,497,530,827,130,865,
793,364,691,259,448,419,012,559,993,542,042,745,307,146,670,017,557,067,226,
023,457,143,905,052,177,061,025,315,072,674,119,189,557,244,926,739,568,412,
316,686,107,463,785,829,376,440,464,501,473,422,928,799,339,615,047,886,042,
108,588,040,556,218,953,519,338,261,673,853,416,533,690,243,852,134,991,173,
587,484,197,325,649,458,791,101,775,162,363,849,261,625,753,771,731,910,966,
101,715,376,049,695,954,741,224,114,334,613,697,104,152,604,313,246,352,233,
613,905,299,605,512,476,628,583,325,025,626,166,033,338,967,469,271,100,828,
685,638,093,471,984,844,166,598,362,059,769,273,639,959,069,765,594,115,533,
120,626,698,739,588,491,816,611,066,014,413,541,021,224,342,993,259,703,259,
110,052,536,029,137,108,442,114,020,610,798,948,514,572,576,348,050,909,431,
045,010,934,790,356,172,782,128,979,838,700,763,380,719,555,142,713,896,325,
283,693,363,637,859,400,885,894,999,489,010,660,326,838,300,609,407,820,264,
476,039,728,798,623,013,748,570,483,342,537,432,665,501,283,893,157,479,706,
960,242,103,132,118,092,353,703,089,718,053,814,143,511,250,930,503,928,188,
734,451,860,009,441,043,476,424,079,325,898,625,092,727,388,819,722,039,693,
598,127,952,483,571,157,892,735,728,891,005,699,673,523,558,460,628,018,064,
619,296,969,521,367,196,793,648,785,808,488,414,399,447,144,357,171,568,075,
130,837,940,903,969,653,788,099,916,826,369,493,904,904,462,931,519,349,658,
751,546,393,872,225,141,500,550,068,546,587,873,442,520,179,116,593,367,060,
865,808,793,020,770,176,737,369,551,463,343,999,395,973,841,717,238,376,662,
921,043,745,031,421,428,572,816,176,855,629,832,298,793,163,609,258,782,339,
069,818,380,086,235,924,620,230,853,576,651,150,033,613,611,779,107,088,065,
358,896,767,023,270,797,101,002,671,187,843,071,183,078,273,268,692,081,326,
430,772,296,624,744,389,678,473,812,288,370,292,487,825,467,552,318,723,421,
656,542,129,607,613,154,490,407,691,256,372,678,374,204,916,141,014,881,846,
137,896,198,300,410,779,396,485,087,904,751,659,739,913,582,580,634,623,967,
769,440,009,997,173,652,873,746,503,749,852,664,836,691,212,221,961,839,834,
389,562,098,098,082,111,749,261,775,614,493,646,790,609,003,961,186,873,898,
906,363,191,811,788,784,276,599,011,027,953,508,727,514,855,968,962,144,515,
557,026,940,118,152,243,664,283,234,887,068,231,619,397,677,728,158,191,740,
032,350,303,365,142,970,672,581,974,049,431,014,968,614,134,692,899,011,404,
207,254,905,528,224,792,917,207,461,286,191,710,381,339,399,773,056,935,932,
903,369,318,493,743,448,812,975,666,822,362,538,470,920,989,038,275,909,306,
656,888,066,275,823,003,937,458,547,593,945,081,708,091,175,616,399,900,987,
416,216,760,682,252,747,310,522,627,597,194,423,274,551,006,208,435,683,348,
339,941,711,987,973,125,327,822,642,587,078,618,701,323,337,694,719,929,902,
517,712,229,477,434,746,525,991,552,095,061,395,710,766,203,759,613,685,943,
641,705,337,299,151,154,620,320,688,614,955,267,235,255,108,918,408,909,883,
917,145,161,271,800,306,451,626,170,958,852,629,703,697,609,870,619,090,524,
248,606,893,057,771,161,015,762,937,117,907,651,110,733,454,873,177,404,522,
873,846,842,934,563,286,894,878,643,184,209,093,272,739,316,124,319,910,481,
158,504,396,830,330,629,229,815,283,243,794,504,028,750,427,222,681,384,658,
122,637,805,122,998,865,477,198,784,179,324,491,295,201,985,025,174,908,295,
147,814,063,659,421,926,308,149,271,838,891,494,630,219,628,844,982,532,348,
095,789,533,682,836,825,937,509,695,214,304,309,827,031,286,176,816,568,317,
268,406,253,278,494,901,156,214,309,534,555,636,161,394,980,345,411,335,405,
116,966,822,490,973,552,318,786,425,616,375,040,470,203,081,829,611,185,477,
976,429,221,202,852,573,827,657,564,889,176,626,274,063,103,760,815,542,597,
251,266,623,965,628,784,691,438,698,690,453,702,016,388,535,744,088,569,671,
729,227,494,941,532,547,638,682,528,495,364,857,816,124,086,627,621,634,138,
703,662,182,899,204,279,913,380,727,474,679,203,768,639,777,547,174,636,580,
094,609,800,558,750,602,348,713,467,113,280,586,782,443,888,268,935,449,761,
803,647,913,770,923,856,055,986,624,658,713,747,987,200,792,707,609,795,301,
662,108,719,423,480,605,114,766,345,735,780,155,431,712,698,722,261,671,228,
194,641,951,032,997,513,860,404,833,262,670,015,267,426,018,466,630,807,402,
396,808,185,180,719,656,295,215,183,087,451,835,661,103,674,540,307,679,395,
120,569,875,782,000,697,672,580,566,810,183,757,973,703,705,771,100,193,399,
884,718,789,681,888,592,660,085,740,956,002,400,498,192,054,023,956,751,758,
395,697,637,333,908,399,430,482,166,348,285,624,698,372,137,012,047,163,471,
360,730,844,160,396,220,551,460,059,819,101,480,251,558,867,847,912,386,969,
641,801,616,648,121,025,432,106,686,419,860,149,308,555,356,823,192,134,825,
089,412,683,276,008,645,805,008,526,762,122,146,321,059,671,313,233,540,846,
100,515,621,162,597,586,600,260,471,022,996,792,804,953,634,061,541,438,447,
061,664,946,723,984,082,605,933,404,879,657,900,559,172,148,271,402,319,883,
463,248,352,793,274,508,135,454,456,388,863,081,847,190,312,007,440,448,877,
152,905,159,984,182,721,996,077,253,691,927,069,122,469,113,879,345,153,722,
004,192,646,344,606,719,114,837,983,710,769,671,078,145,673,894,697,849,608,
546,575,082,682,247,430,813,339,174,870,243,737,368,867,759,438,964,238,208,
239,840,072,434,238,886,671,822,303,936,504,967,587,390,681,736,453,132,531,
712,823,429,385,228,073,238,347,811,207,946,350,241,838,753,431,664,436,278,
883,084,662,735,052,007,850,510,209,807,938,172,654,846,464,649,474,671,407,
648,358,062,742,796,284,410,463,677,062,009,833,748,891,411,405,342,012,033,
385,074,439,742,473,647,643,880,267,707,576,222,557,963,129,338,273,221,428,
831,445,116,367,854,876,397,928,885,340,937,345,986,444,394,172,018,397,430,
645,619,362,675,931,554,529,933,155,242,471,947,703,432,406,009,138,027,470,
513,275,140,026,840,099,327,170,472,314,405,091,988,585,073,948,033,730,128,
803,042,707,789,517,889,068,479,085,734,342,893,881,219,678,166,428,205,682,
876,589,836,540,318,003,711,019,754,198,617,263,852,404,476,986,660,848,826,
845,976,335,162,827,913,743,700,625,988,074,024,834,262,585,262,244,004,385,
234,941,694,973,012,131,062,311,967,259,249,790,861,588,165,408,433,925,980,
625,367,916,508,550,280,960,196,534,172,759,095,942,766,561,972,688,671,494,
429,287,741,512,213,791,780,706,361,215,300,639,059,341,850,569,368,833,554,
540,995,161,266,862,858,871,232,253,679,667,372,383,058,599,748,475,604,594,
864,163,038,026,654,861,277,635,210,181,407,549,343,969,942,541,344,722,705,
157,054,195,858,841,544,464,335,192,082,415,519,079,143,938,648,417,860,150,
243,093,723,202,516,682,284,337,017,301,936,419,147,208,807,230,672,501,629,
701,403,778,255,476,950,839,941,984,856,163,481,725,935,114,067,981,520,826,
736,502,154,941,977,681,740,146,600,333,422,586,837,443,689,334,397,497,384,
708,399,639,333,724,824,020,877,290,408,453,889,589,069,159,114,194,185,660,
626,137,029,454,294,005,156,452,038,335,282,825,170,830,623,072,307,206,502,
075,967,637,888,686,728,182,773,716,639,263,247,769,619,882,662,616,164,559,
749,807,925,410,158,579,132,575,889,046,326,535,020,788,247,348,307,203,560,
338,169,384,789,333,485,903,278,185,512,918,836,944,231,294,054,068,854,421,
168,884,228,733,820,784,110,643,186,133,171,565,972,150,957,118,811,807,468,
172,608,083,829,161,930,699,938,888,227,576,856,636,595,279,572,744,263,305,
548,962,410,145,724,112,590,146,157,777,646,603,421,683,052,513,915,457,644,
026,907,309,833,033,566,394,572,638,838,402,588,260,968,771,450,330,596,383,
481,078,482,361,152,213,086,670,855,815,100,952,640,896,105,246,101,665,162,
673,571,414,078,696,913,415,870,367,357,066,041,859,699,030,092,347,833,236,
636,204,265,524,577,661,452,942,590,419,155,298,529,832,186,507,868,558,919,
996,749,194,879,540,487,713,308,812,260,341,442,767,734,566,136,126,983,871,
990,904,615,343,193,302,880,427,329,853,325,351,689,655,710,588,562,633,509,
007,783,425,163,009,208,546,639,017,476,855,938,975,552,245,735,779,008,768,
019,157,745,492,614,607,690,178,076,841,967,783,705,833,085,220,122,256,662,
027,589,850,428,846,235,433,359,507,069,765,706,542,136,393,255,071,896,557,
143,045,312,574,034,520,200,719,282,447,224,723,710,654,239,446,785,892,831,
712,683,372,368,491,421,479,789,970,357,622,561,853,621,387,312,297,940,145,
592,118,448,776,381,472,039,504,121,454,476,557,012,113,433,007,473,282,786,
395,972,082,303,807,615,615,006,561,451,559,587,141,003,857,257,233,435,378,
533,811,527,138,018,001,196,072,291,262,671,602,273,308,593,354,753,554,206,
787,709,022,262,211,783,371,993,218,724,503,639,638,116,116,400,872,039,030,
017,550,700,466,825,445,764,963,918,682,935,523,003,554,822,724,161,785,803,
394,350,380,764,511,758,352,056,986,940,965,370,122,071,079,531,848,992,042,
750,786,781,097,059,129,605,558,302,977,547,487,361,489,073,478,474,471,593,
771,284,664,820,050,197,583,139,071,531,520,505,896,519,990,537,688,398,454,
761,703,481,903,700,601,780,156,771,376,442,310,384,484,019,061,898,961,429,
908,504,724,115,181,992,333,305,806,606,925,858,201,549,455,561,249,975,282,
258,872,822,892,964,241,082,506,906,135,900,006,061,893,192,689,062,660,212,
859,052,446,850,819,773,850,788,424,836,414,955,980,897,210,592,064,266,390,
965,633,263,905,293,543,866,733,316,544,504,376,131,891,271,568,119,931,284,
671,548,247,922,748,671,443,258,340,992,831,582,816,287,939,990,398,713,772,
076,522,748,485,926,885,154,061,727,295,976,817,206,143,837,125,142,892,556,
492,393,996,742,424,756,468,817,411,427,364,544,769,194,721,625,387,443,434,
119,621,624,673,771,860,954,389,520,422,290,077,253,915,929,494,017,639,684,
332,993,537,804,496,156,453,869,835,261,453,547,711,053,965,373,701,449,424,
019,640,163,671,061,061,695,722,831,127,340,118,255,733,597,177,561,178,261,
624,973,626,587,740,294,221,517,510,697,075,294,274,847,546,577,411,371,137,
256,482,384,014,411,069,499,544,560,112,186,896,242,137,100,740,983,215,686,
996,168,767,866,818,264,517,430,267,364,040,971,429,639,193,431,821,153,905,
823,873,438,544,025,280,499,849,461,626,772,367,222,481,446,631,377,360,074,
597,207,387,846,740,220,256,012,669,493,323,672,944,483,419,409,775,814,576,
751,243,069,553,880,410,964,810,091,981,456,224,126,363,130,245,183,510,179,
141,745,170,352,367,377,696,456,074,388,343,919,664,925,973,001,323,794,127,
089,600,990,202,462,109,531,979,480,771,591,789,912,596,188,365,125,886,437,
903,176,789,051,926,639,116,791,386,682,296,278,987,237,300,136,508,773,301,
992,447,865,164,487,089,155,035,777,405,817,080,267,970,155,208,481,776,113,
922,683,646,760,674,605,408,250,134,978,856,642,454,137,838,538,820,879,250,
814,825,788,231,080,190,564,286,858,167,306,530,960,656,456,772,796,994,254,
986,286,066,089,946,035,728,504,460,856,713,567,025,582,903,499,102,360,112,
632,959,614,640,764,300,680,792,060,558,159,047,140,063,838,066,080,705,730,
550,387,270,630,391,235,334,031,156,563,366,041,821,396,491,742,253,235,558,
713,053,606,194,017,547,187,278,271,501,296,794,975,097,823,980,061,968,906,
930,704,518,477,228,402,288,726,169,605,450,581,753,462,387,965,576,753,987,
801,769,738,902,509,203,534,214,363,833,231,031,613,715,754,184,089,159,911,
523,387,800,633,948,194,188,981,022,334,879,627,909,362,419,484,171,831,621,
871,518,269,052,516,487,081,307,540,880,584,211,892,017,788,478,757,746,969,
168,252,575,882,604,904,445,632,347,647,561,772,465,704,676,326,945,223,101,
026,653,095,999,503,564,310,741,198,073,930,007,336,201,059,165,300,990,923,
006,516,081,551,295,035,868,777,430,829,903,504,106,844,863,608,821,710,367,
981,020,530,607,983,616,964,897,618,083,836,375,922,451,232,908,355,757,865,
501,166,390,693,977,464,083,151,837,987,048,234,120,989,822,483,492,467,438,
747,049,665,099,375,185,552,918,858,115,217,698,497,880,039,466,164,181,418,
202,570,303,219,303,006,674,312,197,621,060,789,659,408,037,010,108,575,716,
818,720,354,454,649,319,465,967,229,241,175,771,018,655,919,622,934,189,380,
525,076,338,972,306,754,190,765,768,818,371,900,166,949,588,189,128,918,729,
642,293,077,194,924,572,891,440,089,102,651,171,769,144,658,909,911,378,024,
515,407,321,726,334,207,577,154,681,750,109,178,264,899,410,740,391,850,052,
221,539,152,612,115,907,659,997,191,176,349,734,175,622,353,883,154,231,742,
244,353,489,400,653,592,812,712,358,197,996,380,186,192,084,227,016,828,713,
251,849,217,343,056,611,060,775,665,652,250,265,504,517,948,657,777,328,205,
206,983,072,295,104,539,057,027,475,063,408,242,508,961,527,078,485,077,535,
307,516,746,933,183,977,254,014,838,008,833,572,909,803,819,549,354,947,471,
639,978,797,120,829,614,285,814,875,204,162,458,575,420,686,627,751,409,559,
103,852,636,509,599,255,990,824,575,198,786,301,306,223,507,121,530,195,610,
370,238,763,821,624,839,604,223,628,964,818,062,546,438,690,975,800,362,847,
239,861,409,537,714,131,110,575,818,373,182,704,241,101,430,920,471,266,990,
333,299,262,145,310,192,345,647,561,832,044,227,099,064,601,082,083,240,228,
270,159,616,765,597,010,856,744,508,762,620,954,510,486,261,404,729,913,767,
402,685,443,692,806,056,636,251,278,269,292,993,812,699,719,775,091,162,683,
756,821,518,176,584,799,596,449,835,726,677,156,274,343,972,498,458,332,979,
975,744,192,966,025,628,739,172,438,480,070,915,443,309,815,161,621,970,602,
356,979,262,370,851,169,759,427,552,961,597,989,373,385,172,273,081,462,028,
192,979,588,558,327,740,154,375,950,720,540,064,858,250,651,562,970,852,357,
655,413,137,161,706,821,496,780,554,305,830,046,790,612,295,099,240,747,681,
083,697,641,540,824,051,903,148,447,096,576,213,209,508,192,307,061,379,188,
083,209,759,135,110,969,418,953,216,180,405,606,520,732,184,567,212,762,583,
254,832,570,786,640,621,018,155,825,207,327,740,092,863,939,159,195,877,763,
969,880,596,817,289,720,453,523,458,570,948,900,884,414,005,215,286,248,272,
942,235,865,842,958,662,260,771,495,811,110,417,401,499,463,063,803,330,168,
956,596,316,614,551,455,314,990,435,909,466,573,980,325,831,161,681,220,038,
049,930,605,506,200,529,416,719,589,828,266,438,235,514,632,089,560,572,976,
326,522,056,998,497,456,334,326,497,437,394,604,244,026,179,746,635,874,948,
398,881,349,715,454,687,021,040,932,547,736,854,258,062,230,149,062,185,951,
649,232,312,633,544,361,635,105,580,310,488,484,715,978,909,595,342,959,938,
321,835,578,315,804,482,917,088,571,310,332,343,911,580,302,902,354,371,635,
019,342,311,470,653,394,366,791,656,362,790,919,472,964,555,496,197,452,854,
006,834,335,559,563,680,635,925,283,685,241,433,080,416,757,795,920,838,766,
222,628,817,364,799,720,268,486,558,573,488,550,945,514,776,715,958,491,742,
424,585,109,394,033,876,862,715,250,298,507,074,504,680,765,574,232,312,283,
096,314,793,828,973,437,356,830,541,661,016,282,726,464,454,077,702,973,356,
804,614,640,230,515,349,762,707,231,233,785,507,132,938,251,900,027,766,506,
818,872,601,030,791,963,496,846,377,907,143,207,439,177,971,352,380,611,976,
546,481,766,114,585,947,376,430,777,534,707,540,974,715,915,207,265,060,052,
549,172,578,958,262,414,053,011,183,143,009,467,025,187,775,920,395,983,984,
675,401,298,536,497,495,681,744,428,977,507,981,617,998,248,036,008,833,332,
510,257,049,104,514,428,693,541,574,351,707,563,780,688,323,979,219,718,438,
651,821,476,922,971,375,447,698,859,981,799,852,080,631,840,597,894,352,151,
487,967,022,719,459,697,595,174,210,389,093,142,447,953,044,330,624,782,034,
170,790,569,608,393,003,887,715,938,366,587,115,606,031,073,629,929,764,782,
710,895,613,163,039,322,469,004,151,762,628,595,047,507,477,101,753,885,120,
047,577,214,712,803,099,024,218,203,080,271,201,372,378,707,927,381,369,787,
906,032,600,547,227,223,736,549,568,611,669,423,536,335,354,778,264,114,925,
195,397,118,125,408,665,475,799,755,921,557,798,564,967,288,970,335,059,718,
878,710,884,150,215,533,183,796,917,176,888,629,002,630,356,975,599,988,107,
300,530,920,970,871,572,943,895,904,510,944,244,515,857,118,794,691,314,325,
615,912,314,947,421,418,716,112,353,146,563,940,899,014,340,668,501,669,879,
961,489,927,212,367,555,951,214,701,139,249,451,455,564,264,702,368,644,443,
604,558,973,206,467,855,659,979,781,572,475,121,294,770,921,524,861,234,271,
934,261,724,096,871,295,375,259,959,791,774,490,257,804,903,936,717,025,947,
301,447,985,245,702,198,351,746,929,166,248,188,769,843,508,647,205,471,376,
436,023,635,577,165,260,377,583,072,064,823,592,965,082,573,570,378,926,056,
963,557,625,358,966,909,137,748,422,058,420,031,476,338,966,736,697,887,728,
035,285,712,626,419,238,240,294,774,774,328,260,732,067,239,305,043,894,828,
963,085,371,864,498,148,922,514,037,030,369,562,072,022,597,676,928,831,555,
930,287,452,107,194,307,912,173,574,361,343,956,312,954,446,692,349,360,914,
978,300,183,761,920,838,586,123,386,307,852,084,185,804,558,194,481,685,514,
932,943,038,477,300,403,891,233,220,643,603,026,981,088,024,760,374,316,464,
396,809,022,763,008,854,007,628,768,947,543,698,846,348,346,506,153,448,733,
211,409,544,658,233,820,176,896,578,772,931,389,431,841,811,539,805,920,619,
101,104,042,686,069,373,849,546,049,289,245,079,741,841,501,026,037,799,179,
675,242,457,484,125,423,059,208,547,238,826,529,015,505,049,906,731,432,364,
518,487,936,905,390,032,066,444,937,214,105,685,331,735,309,335,375,836,099,
609,182,767,273,608,961,950,397,074,653,890,243,188,250,557,608,470,676,814,
699,318,589,747,146,387,866,531,632,659,639,566,911,112,198,276,486,888,816,
642,407,616,663,693,812,939,292,105,944,119,754,578,500,048,644,224,720,554,
964,013,335,350,255,748,986,647,521,910,749,693,628,982,680,466,077,881,187,
529,080,350,528,596,541,961,275,273,752,404,966,400,647,872,884,588,139,118,
825,744,668,216,618,030,671,905,398,350,516,490,039,323,592,389,536,055,610,
927,880,657,108,174,889,532,763,439,453,022,340,766,225,475,414,323,792,690,
185,416,942,164,798,341,174,376,309,593,675,393,758,053,929,844,519,076,338,
278,623,604,682,885,961,009,802,635,417,748,954,284,060,610,377,776,388,612,
382,349,786,727,720,286,280,210,613,448,544,411,628,194,563,692,667,182,533,
440,124,758,088,999,845,485,995,568,324,808,580,463,093,888,716,939,179,983,
900,773,196,827,460,399,306,800,763,539,993,957,403,429,801,675,740,221,559,
641,069,625,641,664,033,280,378,825,713,373,214,698,984,763,041,019,798,638,
393,388,675,896,827,784,412,490,667,209,763,098,489,512,063,623,973,633,537,
177,288,428,633,530,033,781,013,973,946,390,506,872,201,727,599,324,155,968,
022,146,159,126,231,115,071,503,593,230,570,624,581,122,098,227,019,991,450,
702,010,812,109,357,284,417,596,694,897,771,091,233,017,213,082,054,102,429,
991,414,718,276,516,189,481,742,217,359,604,697,928,048,041,000,459,241,038,
707,887,849,362,209,357,767,885,123,325,902,510,486,002,340,762,076,907,243,
243,427,099,941,232,120,682,122,897,949,222,569,549,173,456,452,973,621,903,
894,311,773,740,591,228,663,109,108,382,403,552,908,330,913,299,789,724,567,
244,989,222,833,845,056,890,502,199,197,351,118,232,461,249,945,103,838,819,
923,411,908,682,913,356,831,185,586,749,632,784,230,478,936,778,015,460,550,
700,120,582,858,550,471,806,471,882,150,624,410,134,606,366,734,013,471,569,
459,700,228,301,473,857,071,770,636,722,061,578,793,618,893,311,603,052,252,
927,845,894,777,927,968,882,489,167,353,403,352,698,604,298,642,985,950,688,
751,110,876,024,541,153,211,095,104,866,014,126,626,188,401,550,445,258,740,
368,103,873,154,624,059,643,203,199,349,258,237,968,846,732,720,248,363,023,
724,805,641,219,603,285,891,932,043,550,499,565,023,426,261,177,337,673,880,
658,733,971,801,354,849,319,765,623,873,598,736,148,427,465,745,730,742,753,
345,986,336,710,327,627,186,349,321,800,227,664,080,615,541,349,654,015,149,
186,854,783,149,152,195,858,389,348,896,414,525,519,983,547,341,980,905,804,
505,406,984,661,050,555,849,769,417,742,279,409,661,037,980,145,798,848,608,
065,698,140,738,231,159,775,248,148,372,415,507,709,313,201,585,156,595,630,
465,609,213,697,044,525,915,658,080,956,108,716,276,451,707,753,709,249,040,
083,642,481,925,020,178,374,431,132,932,255,728,584,806,119,724,038,125,783,
515,429,758,440,619,876,982,905,698,044,750,649,449,945,939,387,329,125,888,
966,932,566,971,558,629,264,732,863,801,490,358,408,617,466,018,214,406,335,
625,968,248,691,353,573,718,667,712,717,520,904,421,617,467,756,591,545,385,
046,322,851,994,632,291,520,251,718,505,836,060,675,733,022,080,100,499,870,
843,734,298,504,138,227,006,057,148,686,113,029,489,119,326,022,452,111,782,
524,898,262,611,908,076,194,127,887,222,838,537,437,051,898,129,299,046,575,
070,376,144,277,949,404,004,400,932,832,851,284,582,865,690,752,862,113,883,
479,305,220,142,209,745,082,590,008,546,103,848,438,871,382,644,849,148,673,
618,242,427,175,443,972,606,507,032,879,012,746,667,087,374,679,897,146,764,
735,162,790,329,476,239,456,194,959,841,114,261,097,298,481,054,234,486,537,
413,204,662,306,153,595,728,776,694,840,956,832,413,786,816,447,522,337,275,
509,857,801,138,204,781,726,852,013,756,754,979,381,212,115,140,079,479,719,
654,778,355,686,726,127,282,309,980,748,348,413,032,534,720,825,770,717,317,
811,823,050,157,609,309,733,595,378,960,166,184,424,242,433,920,276,284,483,
624,080,379,031,513,210,962,565,631,998,194,686,662,660,585,599,954,230,465,
396,728,579,488,328,692,422,863,749,819,633,125,042,331,676,313,792,940,938,
227,562,756,277,631,746,758,219,013,480,339,715,017,430,598,815,381,773,043,
416,985,792,802,708,069,074,683,265,957,080,078,330,239,333,629,807,719,043,
031,441,960,974,649,472,781,047,086,542,741,760,009,005,027,263,168,919,358,
081,240,621,665,824,493,773,911,728,169,246,777,950,008,345,904,655,837,215,
197,818,946,209,297,920,031,382,886,488,083,483,229,717,858,465,584,624,948,
936,175,372,796,408,794,351,661,236,087,525,848,488,915,657,057,169,234,799,
755,281,790,810,799,194,633,898,536,474,979,164,394,767,088,170,096,948,967,
218,753,970,421,212,875,737,946,309,163,959,084,859,070,992,863,105,924,023,
963,421,007,131,775,695,913,128,734,904,945,282,442,835,702,142,970,010,407,
542,077,053,719,228,840,079,355,108,078,909,741,162,453,662,716,763,084,105,
071,875,935,865,873,068,299,188,374,629,776,362,042,917,641,576,375,364,422,
079,382,359,632,513,242,686,244,348,744,603,509,811,555,448,684,373,405,765,
018,064,629,495,997,021,683,470,568,387,330,851,706,877,321,694,948,757,294,
227,799,109,891,334,109,313,814,699,661,234,554,413,168,323,900,777,091,781,
106,476,259,294,547,962,476,008,168,971,678,145,706,599,370,127,388,678,375,
418,179,370,133,922,114,915,728,816,425,729,948,444,240,949,516,658,866,963,
437,998,138,037,757,427,805,757,517,778,130,027,328,261,034,667,383,908,594,
307,314,713,241,439,908,991,774,275,460,201,627,318,031,144,605,449,831,986,
155,640,562,744,696,878,853,343,719,213,611,354,207,175,679,374,827,456,057,
937,527,919,049,723,642,578,413,811,810,287,884,151,614,850,903,874,427,567,
889,866,448,817,529,393,945,532,728,696,402,660,399,898,975,360,226,135,032,
423,583,103,309,847,843,010,120,271,674,487,481,817,787,607,592,584,825,033,
104,030,378,374,688,499,726,147,564,612,837,613,502,789,886,519,880,903,904,
593,107,174,060,083,872,550,721,584,585,795,232,107,958,456,296,523,930,950,
942,370,131,303,408,475,867,119,881,205,960,943,135,917,169,574,761,796,052,
724,234,676,466,826,630,922,526,305,909,548,986,952,425,750,257,285,409,248,
162,360,954,891,276,375,588,477,270,581,834,329,605,800,448,434,929,489,872,
549,128,921,218,394,485,603,739,065,309,072,692,090,829,515,850,450,617,778,
317,902,858,847,293,720,898,937,608,718,200,703,165,714,410,851,534,993,413,
562,604,875,231,926,352,256,035,122,969,688,809,279,197,775,951,266,021,706,
035,894,799,810,287,264,754,484,420,917,986,477,758,693,415,266,025,423,300,
333,434,271,825,651,650,429,664,684,675,503,630,962,767,209,819,865,377,292,
132,606,192,159,001,408,312,249,276,743,693,123,281,839,099,227,216,020,971,
232,898,787,576,648,393,587,743,215,172,485,565,522,809,179,118,653,788,498,
629,917,402,475,523,900,077,256,973,029,520,385,092,337,885,167,204,051,432,
304,915,036,869,519,426,737,831,023,746,799,430,243,803,336,994,503,669,687,
980,839,369,432,275,505,806,343,163,219,340,880,341,650,507,136,735,359,667,
831,165,913,673,208,685,799,581,548,136,262,956,587,696,280,099,113,994,569,
793,400,319,019,073,164,681,671,488,186,282,033,628,242,037,780,058,927,651,
766,608,860,908,289,506,759,268,371,714,035,532,292,399,068,980,303,038,880,
448,833,537,894,015,481,083,535,348,743,824,636,588,809,297,059,388,127,095,
754,673,257,344,018,322,050,703,667,742,463,277,807,187,935,980,240,960,072,
237,702,261,673,648,844,000,297,582,149,872,790,367,541,196,180,987,437,660,
983,833,798,946,335,587,489,711,706,029,292,162,221,186,986,691,104,355,212,
826,042,110,718,886,778,833,593,275,903,200,732,439,593,412,959,059,111,616,
413,326,489,639,210,340,338,527,399,675,574,689,883,368,494,406,485,246,106,
008,105,067,208,983,138,633,727,880,853,050,484,791,807,305,769,947,693,875,
469,915,711,057,343,386,025,237,652,603,038,745,380,541,877,908,339,253,053,
818,568,366,198,516,546,296,694,810,329,367,724,370,633,138,390,853,141,554,
922,916,375,233,710,019,566,165,685,518,543,605,960,566,055,043,013,421,220,
672,836,591,126,422,582,577,103,076,149,058,232,293,025,420,529,220,214,579,
708,771,036,203,317,900,751,183,260,616,789,738,819,817,383,093,551,454,424,
194,337,039,876,625,315,522,941,182,520,519,639,025,836,237,584,392,923,573,
760,516,846,239,325,896,645,913,934,178,226,328,996,940,577,221,294,999,424,
019,691,327,404,481,823,665,772,684,749,990,022,744,673,619,809,411,197,698,
633,735,079,480,062,028,251,812,076,040,870,075,458,300,599,922,825,236,305,
514,802,932,606,009,686,371,156,750,707,706,902,366,128,508,303,685,831,255,
000,122,359,163,932,089,793,510,497,239,278,407,034,042,469,106,908,772,422,
418,547,216,006,173,180,619,849,410,781,859,007,225,082,093,913,834,948,820,
435,433,434,614,957,610,468,262,182,546,048,928,929,782,623,122,991,119,024,
291,137,677,925,005,656,902,254,947,611,741,097,823,467,593,910,550,345,158,
438,213,076,848,762,758,033,709,004,552,342,558,143,580,598,601,634,479,890,
402,091,055,137,101,193,006,318,462,998,846,860,613,601,214,343,568,671,328,
332,954,149,470,110,090,188,690,727,577,422,197,145,875,917,584,481,078,459,
558,427,583,952,042,866,471,411,247,672,328,528,450,267,191,807,393,877,794,
833,448,419,031,056,733,136,408,585,262,830,330,975,178,616,869,126,967,276,
165,848,326,744,069,989,223,327,276,651,905,349,785,281,851,290,841,682,352,
564,759,640,001,673,061,226,814,353,940,486,884,868,228,693,815,025,862,236,
303,516,287,871,410,670,726,770,186,612,798,319,390,418,846,551,065,767,195,
049,188,558,280,431,405,549,521,363,862,652,717,317,347,388,332,767,055,876,
847,610,899,042,541,301,556,290,107,092,149,452,540,124,175,443,149,676,942,
023,943,072,963,887,141,027,237,249,097,269,146,158,569,398,224,040,697,279,
901,526,679,343,131,463,377,677,236,897,617,649,371,370,829,173,607,453,980,
278,002,247,631,409,060,150,734,915,950,165,762,218,542,278,208,011,161,160,
184,419,151,513,598,189,579,803,362,737,359,242,472,575,550,086,370,025,222,
567,326,398,128,743,872,886,862,266,386,319,235,688,277,207,527,059,802,321,
743,487,666,232,864,787,622,988,648,006,784,525,769,099,764,171,588,926,963,
333,355,631,615,534,944,722,221,963,238,404,315,077,298,925,233,683,611,349,
708,722,460,018,941,588,970,394,200,486,506,163,403,398,726,115,012,777,909,
612,110,079,831,957,773,858,006,584,906,604,163,187,964,835,091,120,004,522,
378,037,874,083,905,199,545,786,717,202,808,667,900,280,325,485,772,228,901,
756,099,183,055,651,821,108,105,152,053,242,551,737,383,855,037,276,317,187,
224,963,080,487,722,065,586,955,536,460,910,071,751,514,918,188,264,817,697,
305,726,597,030,851,527,825,317,499,960,624,112,000,795,433,293,245,366,256,
585,589,088,325,417,679,752,662,609,368,795,204,471,830,248,470,104,807,402,
597,868,974,966,931,194,263,543,830,362,885,125,001,396,505,965,604,783,897,
223,323,780,479,476,383,276,868,575,203,017,928,429,033,364,982,166,076,006,
080,292,897,310,887,852,546,084,100,735,803,502,752,359,596,257,597,962,035,
407,304,137,964,697,405,540,458,389,532,848,225,105,472,732,870,225,147,785,
632,325,891,882,618,394,650,994,375,150,813,209,703,740,253,766,035,265,993,
480,860,762,100,497,235,831,782,463,084,745,636,991,237,178,842,506,677,523,
182,465,269,256,515,843,246,395,282,871,861,943,101,713,472,589,694,940,841,
802,537,536,737,090,358,803,045,089,726,871,772,331,015,718,974,480,729,896,
164,431,910,179,598,678,288,113,726,427,493,094,370,094,671,674,754,914,558,
523,038,789,143,751,452,632,216,913,281,577,165,404,535,414,129,348,349,292,
330,581,658,071,117,419,079,418,978,582,167,157,842,103,054,707,127,584,333,
236,296,030,213,377,856,668,447,562,564,418,848,161,042,521,746,241,290,440,
426,425,459,147,942,724,645,068,714,807,739,403,425,564,661,322,505,533,783,
623,630,735,330,003,092,997,959,480,374,940,744,012,142,345,468,748,729,386,
444,950,940,443,599,760,399,189,572,035,480,810,838,851,046,335,162,706,648,
475,698,039,321,899,378,771,484,268,364,183,650,223,245,847,075,232,068,455,
375,190,192,054,944,155,657,836,084,522,619,684,342,238,212,915,014,679,086,
238,925,360,612,273,504,430,109,973,477,521,766,272,077,934,133,736,976,213,
177,846,976,706,868,131,361,613,557,851,522,781,831,781,618,080,498,811,079,
373,319,682,849,463,216,353,689,072,611,992,401,513,558,576,383,311,344,779,
834,417,266,488,969,603,568,957,517,555,837,325,603,014,237,438,584,647,120,
607,590,858,166,363,060,364,468,505,462,949,875,561,076,747,969,911,780,288,
625,386,620,288,751,430,387,908,285,281,915,260,639,525,334,988,500,678,968,
116,105,976,077,376,552,107,893,408,255,824,892,576,278,923,681,374,985,406,
720,371,143,378,323,006,485,817,371,410,574,957,241,213,229,767,832,101,271,
778,201,886,418,472,239,867,064,947,025,040,240,409,499,988,875,957,129,164,
588,027,143,275,607,219,496,054,570,527,166,521,997,363,896,717,463,021,704,
183,758,524,627,662,789,162,298,829,128,714,541,668,457,357,868,867,670,070,
169,138,244,016,192,822,347,561,290,460,947,617,140,266,175,695,908,706,098,
070,937,182,171,400,948,914,499,926,129,919,847,434,145,998,142,656,496,447,
491,141,479,803,170,299,923,069,133,164,485,845,123,048,288,746,110,828,043,
090,522,049,216,021,464,841,786,846,035,710,011,932,503,540,938,719,405,099,
506,158,349,959,992,294,033,102,583,322,746,284,353,402,093,806,029,750,970,
994,786,868,063,916,778,715,110,148,206,157,989,745,957,485,648,745,602,870,
563,694,267,826,989,171,752,240,172,697,413,273,963,417,568,513,478,061,646,
832,252,550,131,919,549,710,364,382,931,271,292,990,369,970,552,686,985,304,
040,313,110,321,942,197,495,997,882,159,360,059,006,149,327,620,768,526,413,
879,891,132,924,924,913,659,001,705,912,910,506,513,480,864,542,850,057,805,
551,491,271,301,093,065,521,810,900,275,131,387,079,089,785,294,647,267,618,
066,281,294,327,050,439,262,520,954,540,242,405,747,895,040,823,607,714,167,
605,076,700,182,457,892,593,856,965,370,931,446,775,053,762,045,500,300,836,
249,580,601,408,136,517,915,092,495,733,163,708,212,583,614,238,709,069,795,
365,722,330,661,893,897,743,638,878,847,577,141,739,683,650,665,028,845,849,
531,461,467,029,911,592,750,959,274,270,467,546,219,382,296,268,405,072,931,
724,322,493,767,529,742,665,841,029,771,935,459,038,122,534,899,272,595,083,
934,839,720,776,486,509,083,314,444,142,631,387,843,717,096,040,364,816,152,
531,822,967,908,937,855,352,487,490,798,594,945,850,134,495,913,938,208,057,
349,153,876,088,546,014,151,112,403,247,644,538,977,517,246,904,915,442,752,
768,539,320,871,125,025,146,414,190,652,524,864,785,176,383,097,396,977,811,
229,104,543,914,185,312,323,901,565,153,171,739,312,777,753,236,187,873,584,
393,587,565,862,454,822,410,528,869,279,675,246,710,425,672,201,400,571,908,
783,459,305,001,921,710,244,980,820,581,236,417,381,433,768,424,311,065,328,
094,704,237,949,448,586,143,767,630,472,321,330,340,613,290,345,993,036,924,
676,286,171,396,037,042,436,591,517,383,751,552,228,294,553,300,774,230,511,
399,156,477,844,207,945,498,965,738,103,326,038,336,102,231,638,314,963,215,
682,353,776,720,928,079,705,900,499,649,944,998,479,163,379,286,026,516,212,
444,712,079,123,063,187,497,908,773,672,792,600,717,564,070,675,905,768,641,
218,032,015,230,138,425,580,386,162,190,312,996,497,618,460,635,568,136,106,
544,585,759,842,149,467,652,789,758,538,446,403,958,849,407,080,481,323,918,
941,183,242,587,022,657,433,546,275,057,001,235,262,428,137,270,619,300,849,
034,748,486,862,491,909,328,579,705,866,980,445,740,610,164,806,585,520,576,
856,053,891,149,705,727,227,333,978,131,709,588,709,051,730,902,549,677,989,
428,032,956,382,865,871,410,704,452,937,752,235,346,343,289,981,258,557,351,
788,992,962,716,381,089,523,609,996,792,163,280,566,336,860,533,985,105,555,
977,303,079,409,966,514,209,695,766,343,307,555,092,376,131,629,460,334,027,
945,422,448,579,497,830,531,059,739,022,578,168,125,511,059,302,332,685,278,
514,795,116,907,881,029,712,159,160,547,413,183,671,119,910,667,764,282,098,
786,055,414,396,924,146,845,078,669,265,847,506,771,620,496,187,988,559,984,
188,987,137,512,572,119,108,560,732,936,114,498,481,310,164,519,016,469,557,
023,734,639,571,183,635,753,116,888,645,423,116,752,033,275,523,863,534,991,
069,903,295,289,838,992,595,231,305,768,911,856,728,070,608,867,138,147,996,
580,595,871,002,159,837,127,280,247,963,830,440,452,662,933,530,661,824,273,
794,553,426,275,551,126,989,453,454,888,796,670,867,021,022,270,127,685,744,
309,113,841,950,368,128,048,011,862,493,670,792,481,205,008,700,150,267,083,
936,385,603,742,523,211,093,706,925,687,277,423,758,729,144,588,800,936,342,
797,653,684,755,778,642,257,908,098,703,079,394,036,497,377,601,199,540,437,
262,427,984,776,902,957,993,003,932,520,879,295,982,078,066,839,563,875,388,
594,209,647,012,203,958,620,582,466,293,352,171,092,995,293,018,648,606,579,
414,881,483,715,689,012,473,993,816,656,597,919,042,635,689,371,474,416,305,
361,042,211,508,711,190,741,813,894,751,217,880,566,574,472,172,078,564,212,
863,803,613,272,021,414,307,260,346,974,715,911,265,253,641,917,951,410,508,
068,198,115,196,482,852,533,094,772,377,858,016,560,152,269,761,326,264,715,
425,036,469,527,323,029,987,454,512,785,487,406,579,005,523,547,701,489,912,
632,327,435,438,872,907,548,332,831,424,816,260,069,058,515,765,663,557,323,
640,599,779,069,997,038,358,612,615,727,616,592,017,618,107,823,683,416,743,
420,691,334,758,553,116,909,515,707,496,541,046,475,744,385,983,948,912,590,
094,373,106,688,905,310,100,391,862,821,998,743,894,162,660,317,705,308,180,
623,257,945,132,711,205,095,472,539,474,202,187,793,549,197,459,478,289,031,
642,155,291,090,622,408,163,963,840,458,450,403,269,697,481,627,650,358,603,
818,878,549,151,859,389,266,753,199,983,488,904,815,874,625,314,133,186,134,
392,618,603,568,615,755,097,441,766,926,565,923,835,470,530,155,171,842,390,
941,618,504,940,930,512,591,562,571,091,861,244,365,396,472,389,972,849,304,
851,918,168,258,971,436,576,273,319,458,770,489,431,050,811,230,668,648,018,
793,791,483,562,618,505,254,922,102,372,550,652,560,077,926,993,060,048,838,
158,874,864,990,722,999,973,345,459,551,094,422,414,638,265,644,557,234,276,
850,312,693,812,009,832,212,078,423,668,525,238,842,365,135,594,544,719,262,
094,109,845,254,562,341,228,042,764,731,288,439,628,534,386,737,142,655,625,
382,693,068,940,544,437,490,546,127,139,917,073,143,035,601,604,048,893,333,
570,742,801,495,437,320,546,305,944,528,039,308,068,566,168,314,851,518,635,
168,783,197,093,742,581,870,509,269,475,136,174,456,058,610,194,928,509,087,
954,645,530,922,281,764,881,097,510,805,247,870,836,170,907,160,682,959,347,
454,831,120,324,816,609,518,928,729,968,190,336,920,973,057,840,218,812,632,
246,463,942,914,794,424,808,505,242,056,695,242,877,331,114,673,922,192,970,
603,568,957,406,807,259,071,143,684,260,341,010,448,153,024,715,612,200,466,
967,999,065,656,216,756,324,614,206,345,054,087,444,198,050,198,508,894,088,
463,120,631,787,802,370,629,442,958,296,544,238,799,667,067,665,586,391,655,
738,888,090,522,789,639,813,733,444,014,547,035,186,592,633,728,371,991,966,
737,808,591,391,362,321,970,018,828,329,260,686,634,598,931,633,191,706,890,
622,381,128,485,790,458,361,728,178,102,592,770,051,416,494,503,004,404,595,
189,227,886,294,671,839,918,470,201,575,193,521,925,120,495,290,354,189,878,
291,919,808,157,990,147,314,602,790,619,843,511,656,483,342,430,640,448,839,
799,751,898,335,513,803,375,339,262,200,308,535,201,862,373,571,513,561,336,
623,976,936,380,842,916,951,044,634,256,090,192,323,588,489,740,844,241,472,
369,558,984,337,877,389,683,336,290,837,387,571,447,619,395,573,486,110,370,
456,413,886,081,293,395,308,888,560,200,119,695,693,183,150,221,342,014,135,
693,489,509,172,157,336,681,067,943,712,783,366,681,032,372,968,139,493,723,
100,250,501,367,162,617,985,010,088,714,499,408,102,665,260,427,126,896,274,
056,479,809,453,044,732,232,970,067,566,793,921,336,497,282,317,086,069,448,
956,011,916,746,584,951,746,692,635,950,447,930,693,430,789,134,054,910,716,
729,700,702,864,946,206,714,266,942,236,107,741,815,850,014,847,544,863,992,
546,059,394,821,717,066,206,032,389,271,885,961,581,779,415,756,476,127,541,
403,739,625,687,566,493,638,673,608,377,158,359,762,563,390,688,642,424,507,
205,526,833,442,169,133,508,017,749,793,422,912,312,330,405,785,994,131,452,
964,134,825,810,152,424,411,108,813,399,701,951,022,563,222,851,358,049,618,
426,286,366,197,559,787,406,026,136,765,145,868,385,516,831,148,189,986,871,
505,810,190,791,617,730,516,571,780,838,115,161,735,775,024,243,825,853,611,
092,284,805,593,442,665,581,658,012,935,872,252,703,761,842,989,443,737,517,
157,477,503,672,931,758,788,064,877,603,527,002,694,007,562,582,671,306,628,
599,510,192,892,636,091,603,215,803,057,227,628,783,267,281,033,148,923,069,
598,749,266,399,138,277,938,500,899,392,038,486,232,997,618,574,668,698,787,
206,577,960,276,469,780,324,869,865,657,849,883,758,277,301,398,992,165,715,
825,360,256,287,972,705,130,903,578,977,580,161,282,241,501,660,253,330,308,
689,442,801,935,362,453,861,799,602,222,960,953,109,448,753,725,943,472,375,
823,341,510,636,964,374,738,871,943,542,791,053,100,884,456,544,673,374,338,
031,045,388,298,739,521,910,054,941,353,381,945,993,406,859,562,298,819,881,
664,077,879,320,230,741,363,061,837,665,450,259,251,863,173,201,868,829,315,
675,619,497,247,708,154,285,270,551,587,406,053,438,665,670,617,831,650,261,
635,647,278,107,462,019,339,796,997,675,696,808,362,847,417,243,875,699,812,
986,392,959,618,513,520,887,531,387,291,570,259,359,807,889,053,458,089,144,
601,320,089,073,396,179,554,446,176,340,997,286,557,295,911,848,929,177,306,
563,886,436,337,916,788,258,392,065,445,330,129,483,840,072,326,294,863,599,
541,445,681,726,062,838,366,621,235,292,041,382,823,438,091,348,497,706,729,
799,126,134,017,185,806,524,365,694,384,861,412,216,526,257,277,454,385,852,
800,346,282,689,363,529,178,399,546,776,272,695,034,155,224,422,230,844,077,
930,372,669,326,015,111,380,351,091,478,730,423,873,793,765,775,332,951,557,
620,102,580,410,505,312,137,100,603,352,670,997,890,919,753,897,540,279,362,
063,483,590,268,551,379,975,868,785,361,500,316,893,593,824,322,234,031,132,
188,435,292,304,724,939,025,088,923,652,498,276,963,021,228,827,486,909,834,
516,411,438,525,430,871,792,369,434,244,970,556,161,214,982,452,155,719,323,
987,721,840,460,251,522,655,094,443,910,982,885,195,235,662,090,630,324,319,
181,035,877,451,062,232,098,247,843,118,196,049,342,534,116,470,042,140,401,
961,958,407,410,130,832,748,202,798,615,037,053,181,264,760,505,243,036,992,
752,458,223,745,393,937,739,518,556,901,169,747,946,608,787,060,614,227,751,
159,571,273,327,354,454,120,017,623,231,081,788,318,125,146,595,574,566,080,
784,907,999,731,701,039,879,118,758,150,446,084,223,929,308,176,872,058,093,
408,107,978,559,426,338,633,436,758,824,612,319,951,805,668,445,821,782,988,
491,149,017,302,126,866,632,309,335,797,909,680,320,872,429,597,091,517,221,
098,053,931,390,053,216,191,453,776,926,430,240,708,673,681,089,339,975,687,
562,288,243,323,248,133,045,908,157,754,498,712,295,776,929,538,059,499,525,
198,814,458,109,550,199,557,717,683,389,385,998,617,153,840,073,389,872,803,
116,963,170,377,223,704,159,248,474,608,556,091,715,113,515,103,254,023,069,
489,725,393,063,132,316,339,517,677,217,484,086,023,218,497,345,746,266,653,
033,623,571,629,713,141,188,982,388,834,025,543,775,083,808,385,886,765,241,
700,649,580,705,615,510,585,002,366,572,318,658,992,031,356,887,614,359,306,
542,295,869,011,334,875,909,056,078,731,890,228,650,283,334,927,951,171,676,
306,106,984,770,450,095,295,212,840,777,792,603,422,884,281,679,698,293,076,
531,478,184,531,016,306,977,808,888,218,159,080,511,649,044,441,305,865,353,
288,573,222,535,828,446,258,410,840,985,238,738,854,946,560,586,291,553,438,
261,997,547,319,852,259,169,628,564,450,939,167,511,605,492,832,486,614,723,
839,919,435,356,564,425,903,475,109,568,001,539,275,137,101,288,894,326,111,
247,368,363,400,221,995,721,224,552,602,339,337,286,098,070,961,497,613,695,
113,611,828,402,724,200,471,889,160,658,259,462,645,044,075,088,298,308,161,
689,733,691,027,638,128,134,023,407,450,413,610,075,983,225,491,214,684,513,
665,216,139,182,988,005,531,840,842,497,506,731,687,348,132,029,790,321,403,
131,073,989,142,082,106,564,302,904,687,209,345,598,883,462,968,304,079,539,
815,855,092,418,757,823,817,617,332,055,197,261,049,397,427,257,966,827,947,
215,208,396,758,561,667,433,314,385,200,487,698,159,352,480,472,795,402,061,
596,970,777,090,847,831,551,234,713,595,449,630,109,437,822,831,155,605,488,
980,096,426,759,580,763,857,832,097,759,317,496,190,449,157,490,597,163,470,
486,629,617,244,604,426,208,145,555,301,000,933,382,393,548,766,982,999,610,
878,960,789,735,223,251,549,660,315,397,073,437,700,258,531,254,908,229,739,
970,866,589,367,297,259,238,874,495,509,744,801,798,109,845,221,001,760,525,
399,148,414,210,334,557,835,207,817,604,917,897,606,357,195,789,205,518,326,
402,861,955,374,871,119,996,203,987,537,064,213,250,814,763,139,197,486,436,
305,099,799,199,354,460,207,499,814,006,358,166,855,321,793,813,246,082,604,
573,731,122,946,034,219,723,221,932,543,233,610,942,559,755,977,314,499,326,
059,845,773,322,689,219,176,184,826,633,082,707,907,889,541,570,394,830,666,
507,374,531,932,202,487,284,073,510,835,850,041,048,105,379,078,358,418,249,
692,863,314,776,667,451,886,808,941,981,014,711,586,789,999,389,370,293,973,
349,193,847,777,270,485,881,496,012,325,996,260,946,683,092,329,153,212,600,
844,139,473,627,513,328,693,019,181,724,313,864,813,166,465,487,104,443,219,
514,364,663,890,303,569,723,288,119,045,204,944,509,731,446,083,368,801,323,
579,881,686,538,339,534,791,605,245,131,994,549,820,333,161,329,208,149,801,
762,052,563,544,560,679,692,186,970,629,694,407,348,027,343,639,501,751,254,
699,211,296,386,688,605,302,017,021,014,465,942,937,056,992,272,307,655,049,
899,321,336,209,746,395,197,965,504,007,173,430,219,516,824,983,917,300,349,
569,909,328,716,968,764,129,268,629,602,947,792,100,250,012,814,767,405,089,
884,775,733,582,623,829,159,569,638,463,315,456,587,774,910,691,630,115,835,
322,137,036,728,347,175,029,222,243,878,923,703,559,548,375,652,818,151,218,
113,192,220,364,109,476,350,518,562,383,324,651,480,445,366,740,110,938,316,
398,549,484,328,434,341,182,321,264,193,349,384,963,945,789,257,276,467,177,
032,999,049,747,466,623,748,915,761,564,687,567,933,696,825,159,983,732,937,
316,833,919,767,392,746,477,761,861,270,184,380,154,427,126,017,157,708,010,
794,990,460,612,300,440,011,571,798,824,213,960,101,116,744,583,161,939,834,
073,278,059,912,843,117,004,585,461,772,157,919,221,872,384,375,189,553,423,
526,894,494,932,383,589,319,282,538,720,885,316,227,385,660,456,536,566,311,
969,155,010,864,097,182,695,371,391,441,268,861,160,694,207,266,816,400,981,
973,808,096,725,575,199,406,131,117,725,133,161,393,832,355,275,167,729,643,
595,175,665,647,927,152,652,445,893,103,291,693,794,544,454,576,723,726,353,
303,650,253,176,209,650,889,672,353,688,285,298,161,643,344,342,972,619,583,
147,909,011,480,471,890,871,487,034,746,235,033,442,833,649,525,581,088,319,
240,726,780,935,203,300,281,338,554,925,163,315,543,796,823,031,001,527,170,
500,311,851,236,912,223,884,355,383,028,489,867,522,537,708,369,182,808,193,
942,484,978,351,309,641,950,479,925,591,346,833,811,427,430,427,702,515,545,
013,250,740,407,486,764,239,676,763,182,736,366,415,101,260,590,382,541,261,
189,853,068,090,785,023,339,698,938,187,020,263,276,057,347,965,876,846,639,
580,463,256,220,661,051,926,102,867,230,741,115,600,000,853,274,359,662,948,
805,232,598,087,305,237,737,012,238,580,601,085,604,407,735,541,312,064,871,
105,820,831,096,373,102,963,296,354,194,535,090,125,983,886,862,346,638,276,
361,551,728,400,427,574,493,487,770,001,099,608,003,763,476,867,548,510,026,
998,821,759,568,214,131,521,276,678,216,265,531,480,857,966,664,170,584,510,
742,426,225,384,585,532,005,567,800,997,007,472,733,761,540,618,368,242,290,
345,095,230,233,415,754,765,264,578,877,773,638,419,811,815,235,933,361,796,
985,914,640,497,227,027,422,867,259,150,659,066,803,477,747,538,439,930,721,
105,879,298,274,916,708,147,585,673,861,707,676,567,624,101,092,090,765,610,
293,698,880,375,272,647,436,186,184,023,064,063,698,195,891,806,465,561,108,
284,122,042,105,616,654,536,967,343,942,800,641,214,299,728,458,051,717,408,
406,212,549,851,333,111,560,374,156,938,573,528,094,215,472,996,303,578,083,
327,182,748,899,292,357,188,273,683,495,438,635,548,018,146,300,428,168,589,
829,342,147,184,985,549,100,746,442,804,609,825,715,902,960,291,933,365,515,
602,499,458,118,348,039,561,915,732,651,051,136,942,700,642,395,331,547,127,
250,711,756,378,299,749,679,492,816,873,009,304,645,274,981,362,691,299,949,
003,895,597,769,626,114,864,301,101,074,191,852,907,984,540,703,078,569,416,
600,449,415,770,018,373,853,631,687,965,028,416,704,562,618,772,491,870,741,
817,669,800,190,019,138,438,389,346,161,271,719,983,175,367,002,733,499,094,
715,818,169,037,470,472,828,282,632,773,056,289,370,527,769,693,038,578,123,
196,647,121,502,429,338,802,857,169,217,959,066,304,614,131,321,798,679,243,
599,562,511,672,681,720,940,159,712,281,009,734,831,668,124,801,559,976,722,
854,314,465,708,596,410,014,767,101,774,896,613,166,511,888,837,337,114,343,
494,046,143,667,862,599,759,217,273,388,084,100,457,605,505,825,489,553,178,
672,107,877,558,587,656,340,617,003,024,880,416,996,179,900,548,518,636,012,
412,922,855,080,754,742,025,639,733,288,920,670,621,882,118,016,682,027,290,
834,277,945,734,453,486,711,207,366,167,616,329,901,161,715,340,275,987,091,
507,098,932,929,686,293,875,479,657,018,044,987,404,647,234,363,203,311,451,
956,516,460,458,894,906,798,301,124,149,194,705,337,813,730,820,236,269,401,
891,624,600,353,078,608,668,031,632,897,619,054,749,818,294,498,687,182,790,
870,632,568,769,880,634,132,906,607,952,713,142,521,933,411,678,650,321,430,
965,999,649,531,578,750,096,894,789,261,883,466,179,398,451,607,980,145,339,
042,989,195,759,072,016,976,530,519,079,511,122,983,188,585,065,005,441,126,
749,321,165,891,326,001,851,217,572,401,878,493,379,887,347,675,048,899,094,
040,323,943,240,912,921,537,383,677,869,658,875,173,399,236,697,501,567,183,
910,237,301,131,482,080,800,317,170,442,781,123,276,185,126,474,033,667,705,
068,199,460,935,937,452,769,886,030,667,838,444,114,654,864,212,121,898,364,
322,594,488,093,304,755,394,886,199,718,684,701,457,310,686,456,113,905,493,
110,075,118,212,327,385,115,620,831,937,249,181,006,887,608,180,989,207,090,
079,887,941,225,751,181,343,462,480,407,800,859,782,372,728,910,595,804,454,
185,654,580,372,536,783,972,812,419,275,006,648,017,710,859,168,271,484,938,
706,730,541,029,520,550,262,247,301,852,617,307,565,345,838,044,196,192,114,
587,329,210,783,129,274,293,503,652,083,021,851,498,786,230,533,185,713,872,
794,048,204,573,828,360,654,294,507,796,999,759,505,633,855,385,955,943,416,
075,328,126,348,743,894,583,525,892,087,059,661,701,963,811,674,180,517,032,
189,338,645,700,546,299,360,012,275,893,368,236,134,349,847,089,670,282,141,
374,282,460,303,753,337,553,735,535,742,399,888,703,028,131,175,982,929,423,
098,654,021,652,071,458,307,450,107,334,894,666,866,877,072,371,472,692,273,
629,557,768,154,950,005,392,649,128,122,503,244,913,945,834,252,408,469,131,
800,850,962,159,755,723,485,113,820,961,800,233,685,356,719,521,608,298,856,
834,865,481,736,846,818,799,543,421,898,311,867,927,495,803,467,866,396,570,
428,752,617,136,130,878,652,956,239,872,393,905,951,164,193,175,433,132,286,
687,764,087,545,475,608,331,700,476,339,994,482,427,145,366,548,445,694,557,
730,455,185,717,880,248,348,188,700,632,628,235,719,945,478,581,232,046,516,
181,560,421,472,701,832,697,259,169,949,108,473,934,494,032,687,949,680,363,
955,692,873,135,099,201,011,560,843,952,520,053,023,598,227,806,568,302,376,
089,119,576,866,289,179,533,373,499,071,810,249,750,996,394,250,175,780,808,
098,158,964,681,481,615,993,289,038,680,098,285,120,081,047,044,983,561,539,
667,551,968,717,269,899,053,925,292,020,879,958,398,524,612,486,549,697,341,
453,398,570,859,131,374,305,777,442,844,779,598,208,723,830,782,912,360,146,
554,113,528,828,267,705,015,549,754,053,192,724,963,161,412,761,897,416,793,
637,166,540,549,737,975,529,132,050,544,857,297,416,878,041,488,782,713,977,
178,171,211,518,886,358,443,360,916,101,106,087,226,093,838,100,085,258,985,
858,496,005,136,940,028,283,782,349,657,675,827,828,606,022,783,073,605,267,
466,748,077,749,114,699,576,285,169,532,454,925,682,083,609,153,332,207,440,
474,018,338,570,981,147,532,733,502,982,840,953,752,164,527,344,338,732,514,
541,461,377,085,826,897,504,381,084,016,530,683,390,670,019,254,265,729,141,
026,210,687,464,785,113,340,334,612,990,897,578,970,148,108,915,449,078,306,
342,081,718,144,064,772,036,740,971,017,766,015,757,767,124,861,023,029,237,
640,263,177,165,624,594,076,400,976,113,858,617,975,777,992,989,798,570,990,
387,842,890,093,395,301,930,885,307,145,816,592,260,428,512,248,284,598,638,
976,265,269,695,450,025,006,143,076,507,411,551,450,109,716,567,056,661,293,
537,814,892,277,315,274,040,583,335,038,762,805,918,571,513,859,320,797,121,
927,405,295,387,504,775,901,356,080,647,671,316,823,239,658,746,610,308,977,
124,876,517,536,590,995,454,631,860,766,439,717,966,896,082,855,573,196,270,
665,187,751,639,207,702,620,339,277,228,964,387,913,926,750,215,928,907,618,
237,319,215,840,745,149,318,189,961,017,665,068,483,411,520,998,213,442,317,
218,636,497,947,874,391,211,906,367,146,060,473,627,146,839,385,059,404,272,
614,991,857,651,219,820,943,719,817,807,543,546,259,437,150,377,500,468,059,
151,753,000,421,097,391,376,679,178,827,582,081,778,955,049,291,223,122,418,
157,220,893,190,868,760,630,336,637,460,341,114,259,685,106,859,555,960,726,
843,960,560,321,971,482,970,405,996,395,221,177,190,908,270,545,219,449,843,
014,564,108,096,688,748,777,561,206,037,901,563,987,385,555,679,070,047,642,
093,037,798,430,358,561,163,541,777,885,543,044,033,065,199,666,984,761,101,
875,807,877,753,787,608,992,335,651,444,067,312,933,720,334,952,437,637,562,
180,387,943,135,750,639,895,730,040,384,090,914,810,665,464,579,656,078,173,
181,026,128,845,551,790,507,202,353,091,196,054,921,149,236,848,296,780,017,
103,608,138,686,758,390,665,434,195,858,010,516,358,249,738,330,294,322,733,
849,578,025,296,618,792,835,508,393,951,007,297,969,759,014,930,620,493,270,
098,422,138,533,546,298,433,864,079,400,294,985,053,670,112,054,821,665,754,
281,449,395,586,467,493,071,268,115,671,577,944,131,028,176,036,571,521,352,
691,504,651,059,913,992,671,379,738,960,394,560,368,504,286,911,966,005,518,
577,694,943,402,863,045,875,998,983,210,316,737,228,323,002,976,036,016,449,
908,848,594,702,459,593,447,123,387,645,695,086,377,413,339,937,259,306,884,
830,727,020,265,103,605,056,292,249,957,569,883,986,485,463,219,636,821,809,
891,248,541,584,087,040,682,949,911,017,387,651,939,218,981,368,465,067,647,
805,532,924,137,022,453,596,711,527,281,053,461,974,428,399,490,352,339,963,
149,975,138,275,484,293,883,022,461,966,646,924,288,109,574,129,574,598,411,
162,131,079,281,788,526,568,768,496,389,042,751,844,667,883,950,759,223,536,
915,580,872,639,576,912,879,093,324,027,719,029,235,598,798,895,470,301,781,
846,721,855,063,023,730,956,763,631,499,453,093,014,589,167,650,873,702,577,
161,640,658,091,665,618,401,960,858,378,509,194,092,826,291,024,221,942,835,
638,659,177,709,525,668,707,293,270,564,047,360,505,792,760,450,488,580,073,
563,895,935,120,525,025,204,022,486,057,182,302,195,686,427,783,531,277,960,
011,885,022,294,589,938,340,109,822,471,199,896,418,910,887,636,661,596,191,
631,428,170,272,519,540,087,483,484,581,000,531,924,225,131,784,515,170,705,
243,987,245,344,937,451,402,655,722,241,193,444,124,384,247,661,055,591,442,
138,203,572,536,583,028,261,802,174,181,189,437,297,887,354,822,662,407,764,
771,211,371,922,607,283,564,608,792,137,578,801,765,934,031,292,351,819,980,
948,080,569,009,625,169,853,699,629,807,427,584,044,256,222,521,916,975,288,
411,176,668,344,323,169,426,401,323,800,600,681,159,142,228,150,864,410,648,
438,269,199,971,908,244,229,416,964,263,340,077,162,659,547,766,777,515,623,
741,187,347,319,133,767,980,587,403,324,678,557,170,631,540,319,762,167,037,
195,207,353,774,334,327,981,076,543,891,463,531,839,560,390,445,730,707,020,
887,249,098,624,346,848,789,068,151,196,127,628,546,779,498,686,335,767,878,
854,353,465,336,588,948,509,347,759,390,113,884,662,344,408,584,649,413,070,
775,202,530,146,673,452,022,082,131,288,165,420,405,503,579,512,089,690,494,
510,146,414,364,668,631,507,872,666,265,275,116,531,579,769,423,604,851,609,
369,718,207,393,876,148,416,947,764,367,608,081,182,615,013,485,957,175,677,
145,072,242,042,090,135,690,140,378,163,979,171,179,246,126,779,462,057,588,
970,894,111,567,223,484,930,634,280,809,511,475,345,972,294,034,931,874,976,
322,490,075,029,457,287,610,259,575,694,446,525,938,365,520,378,758,567,449,
379,734,622,724,289,461,006,227,863,671,731,836,116,136,137,191,553,338,081,
460,555,047,183,546,299,417,311,349,845,765,288,423,700,957,500,691,169,223,
466,242,657,943,285,660,657,977,173,325,222,518,973,147,099,548,431,298,098,
336,637,771,533,458,627,886,325,655,512,936,347,608,488,045,270,680,303,510,
520,951,659,351,116,378,565,156,606,553,971,296,746,653,419,738,100,724,769,
645,258,163,404,771,374,559,415,672,327,576,592,335,920,007,714,699,406,535,
818,838,776,027,695,779,840,925,834,494,793,937,573,390,030,343,286,241,383,
569,997,885,104,970,398,471,282,782,518,937,995,282,813,208,815,653,838,270,
059,953,138,799,930,694,824,102,407,649,992,351,242,134,841,827,559,992,690,
153,402,403,191,788,970,123,862,248,810,472,180,388,917,659,220,148,742,117,
129,353,644,495,466,476,065,132,082,747,764,250,837,289,775,867,053,827,671,
814,820,988,956,652,108,239,375,096,316,770,620,522,026,361,964,144,314,318,
285,357,216,570,821,863,308,812,130,430,859,460,274,374,763,521,688,501,348,
124,387,332,689,609,637,896,164,676,178,385,716,414,096,390,578,707,970,296,
578,626,090,853,452,979,853,241,208,838,373,667,798,005,861,927,362,423,378,
864,819,335,917,304,187,307,170,538,624,989,937,461,568,072,505,143,215,395,
450,219,372,531,227,162,335,634,002,832,427,524,716,231,487,591,539,347,811,
864,163,308,021,656,447,657,787,018,255,083,038,314,475,285,352,850,093,800,
884,134,329,300,873,201,060,841,344,804,400,134,136,399,912,324,631,505,750,
694,943,622,999,086,598,823,323,903,894,938,906,925,933,164,868,878,860,667,
842,936,688,644,524,709,393,206,087,527,633,790,433,662,725,318,921,004,752,
549,140,043,919,857,817,619,179,550,897,562,821,515,730,908,637,982,646,609,
349,481,059,579,393,179,035,146,360,315,519,595,001,090,210,672,296,861,309,
998,136,172,190,140,499,261,959,175,261,247,058,342,972,084,135,290,110,069,
071,069,736,180,603,862,646,863,843,437,529,416,549,990,313,425,119,212,725,
535,617,281,637,231,716,491,022,311,736,131,303,891,832,420,879,415,839,357,
196,781,864,528,189,387,569,329,130,816,777,517,458,456,112,855,460,059,802,
156,272,616,273,207,571,921,381,391,754,354,869,197,809,076,088,939,751,902,
347,535,620,777,518,291,391,829,883,182,129,732,841,230,791,869,757,446,280,
415,733,621,365,012,920,926,686,384,197,511,125,084,404,908,416,908,968,741,
238,206,569,056,831,056,098,718,289,808,113,659,596,575,854,515,598,204,210,
238,529,063,668,179,026,019,075,749,572,519,405,898,635,139,541,186,995,871,
898,937,335,839,001,653,408,780,291,104,515,776,823,263,916,624,539,064,729,
264,787,441,157,227,193,210,368,516,778,022,656,845,022,401,568,271,957,572,
320,143,209,750,984,960,169,616,823,891,132,610,668,682,455,004,746,863,464,
544,516,743,934,032,336,197,253,092,389,728,073,100,048,822,175,759,505,456,
926,037,738,892,046,264,552,826,829,995,804,981,873,563,690,081,553,422,652,
036,713,930,918,743,655,300,591,412,837,760,135,413,383,228,875,086,852,566,
371,653,826,672,796,050,965,752,705,601,590,518,213,349,940,897,046,782,828,
193,012,718,874,045,201,837,947,753,379,757,582,867,075,197,263,965,969,435,
734,151,150,290,664,132,269,624,283,138,281,085,686,570,225,741,102,864,104,
085,535,163,529,977,820,685,216,121,253,285,788,129,074,392,156,244,348,089,
033,208,041,300,524,266,552,908,637,151,184,785,251,686,555,000,238,140,924,
224,836,847,603,650,874,306,803,654,927,359,903,313,390,882,059,534,272,256,
213,354,513,233,279,970,530,172,296,452,270,221,169,413,712,551,658,132,366,
515,109,862,781,230,461,202,511,086,274,272,500,996,611,201,542,531,162,414,
064,868,112,217,064,812,399,179,553,423,852,986,913,406,384,221,289,162,921,
301,282,180,015,884,745,265,799,846,283,043,918,493,464,045,856,097,563,039,
665,528,571,236,853,526,743,723,439,714,893,244,529,264,205,761,719,948,121,
840,876,643,565,184,822,306,204,654,422,132,579,041,608,919,185,372,970,325,
794,174,407,669,963,480,792,580,233,244,800,111,959,197,369,229,655,110,237,
984,806,178,726,255,442,709,076,561,435,398,761,945,325,798,263,617,669,397,
472,736,835,332,140,066,580,024,706,357,536,099,098,715,311,242,713,399,259,
769,388,533,371,031,684,673,869,551,395,010,638,582,688,992,394,222,607,400,
433,103,382,785,540,718,961,379,139,101,546,209,687,559,503,681,986,545,239,
874,565,719,305,073,426,569,493,577,490,071,693,110,467,997,678,271,995,232,
858,732,581,086,088,092,301,299,493,179,333,657,846,013,122,441,849,052,780,
378,016,917,403,858,193,607,601,079,237,561,432,283,433,311,286,457,243,432,
866,260,238,158,853,293,640,190,421,070,328,566,882,780,389,004,192,941,255,
589,219,761,291,876,815,736,681,294,759,290,475,959,968,553,660,197,038,229,
637,840,465,367,988,626,926,998,917,482,233,544,336,675,283,827,499,161,718,
940,453,571,973,391,989,476,240,091,710,872,779,235,056,463,176,106,295,025,
490,003,586,734,577,053,298,228,904,635,766,954,542,446,720,086,376,584,243,
874,801,762,366,597,176,077,105,283,393,135,512,553,087,379,567,473,902,546,
441,393,837,663,372,905,974,572,416,282,680,062,392,319,718,550,007,328,209,
269,624,163,205,257,923,759,034,238,009,120,979,280,708,016,463,877,823,408,
681,157,329,583,874,134,601,795,885,513,694,101,056,492,758,661,046,364,670,
971,371,140,462,072,822,576,607,804,116,553,949,227,857,545,198,390,153,426,
455,046,087,597,813,444,756,303,257,417,738,551,875,490,954,570,001,206,926,
669,108,277,785,928,011,462,259,499,428,728,908,341,256,438,682,007,500,034,
437,504,759,195,534,458,944,308,902,893,588,172,660,853,655,491,427,315,089,
699,065,854,804,482,100,904,044,360,307,580,041,574,140,440,237,277,635,066,
677,225,559,975,677,032,126,511,773,718,040,255,360,741,291,561,130,852,105,
940,289,804,053,232,926,833,921,022,545,368,774,602,968,846,429,544,108,451,
910,826,072,000,557,619,304,989,630,427,448,558,178,714,648,233,791,988,275,
926,813,828,480,568,039,656,440,253,092,779,653,957,385,191,372,162,228,283,
695,091,697,935,955,083,447,784,333,330,707,127,273,342,978,682,633,345,170,
656,172,978,882,310,580,678,923,461,561,451,244,781,374,653,134,411,796,792,
103,485,574,451,163,445,749,079,655,278,292,512,089,200,030,724,065,015,287,
331,180,896,771,302,951,624,818,299,598,211,429,961,995,658,955,887,948,366,
128,233,402,485,364,262,591,029,126,358,925,903,317,203,921,285,329,096,789,
525,361,842,047,568,055,395,788,396,663,984,592,692,716,088,972,282,326,184,
456,887,399,633,864,591,734,442,334,428,091,667,529,710,284,016,247,637,447,
716,184,629,478,692,483,200,733,252,295,668,643,762,353,575,527,799,046,604,
588,712,953,052,563,617,680,216,750,149,727,230,782,737,184,086,419,581,679,
623,883,283,055,236,608,013,012,358,486,742,412,086,175,103,682,505,914,672,
197,347,685,325,166,128,447,298,859,863,062,785,898,776,762,883,116,474,853,
175,199,332,726,822,657,172,992,601,966,547,373,358,085,299,145,501,594,452,
093,841,950,106,644,166,049,998,391,831,465,474,909,283,146,145,333,607,844,
742,754,973,413,897,220,022,448,717,928,249,227,542,713,661,907,771,948,997,
493,448,701,210,115,870,407,577,489,252,367,152,000,647,040,547,283,520,618,
150,769,986,879,013,811,705,896,237,780,841,345,018,909,057,923,528,204,841,
442,162,303,877,294,218,953,921,973,213,012,659,089,447,354,236,283,211,348,
758,110,092,066,529,193,626,194,211,932,789,802,038,787,884,881,747,548,526,
314,918,137,776,439,689,996,306,652,444,226,705,042,905,623,367,214,894,871,
272,715,913,100,183,629,489,366,930,396,484,042,378,919,649,623,532,532,995,
369,513,760,180,945,401,332,813,221,388,702,758,938,311,863,973,189,652,621,
895,525,053,007,757,208,733,260,778,297,631,490,555,244,552,772,708,854,055,
968,634,531,335,949,854,349,846,390,099,372,283,890,864,427,846,132,644,391,
367,993,038,499,457,719,700,957,884,187,602,426,539,380,558,865,888,382,010,
015,850,134,669,018,424,570,372,039,381,794,087,792,303,624,398,039,576,675,
597,882,339,752,938,293,613,044,695,421,945,052,176,972,802,050,847,942,192,
960,600,940,312,917,813,747,355,726,927,280,747,486,236,339,984,284,076,252,
939,216,009,023,010,901,391,434,381,740,722,252,004,664,927,349,670,019,604,
504,475,756,208,480,416,396,836,527,454,335,135,117,512,602,327,000,675,259,
228,316,988,889,473,597,558,730,015,026,248,700,029,523,163,860,411,692,863,
065,263,882,148,928,520,945,956,704,187,740,007,114,372,751,105,018,788,959,
755,265,133,098,029,747,763,780,247,266,873,457,575,412,909,400,021,183,487,
256,409,275,647,858,003,407,599,767,336,433,020,061,509,381,427,514,692,231,
378,627,422,660,113,556,832,540,339,813,881,807,085,079,873,054,266,697,290,
928,562,787,335,461,883,499,468,010,918,370,345,983,944,764,140,315,871,820,
067,805,822,883,228,264,696,915,490,467,316,776,526,993,118,731,048,096,026,
532,198,081,278,293,592,363,219,672,320,381,781,102,013,247,395,932,966,081,
785,246,442,802,275,183,892,660,490,852,642,917,623,249,833,671,226,521,298,
812,747,965,731,410,477,956,149,868,933,074,340,297,762,323,453,586,172,281,
193,447,446,377,418,157,977,431,360,607,388,176,337,756,627,378,711,551,959,
871,318,398,092,046,643,058,777,852,401,353,467,845,303,380,057,042,894,136,
419,400,220,444,774,874,651,319,065,437,156,586,106,240,652,556,641,838,228,
318,287,373,044,323,064,547,087,810,430,893,875,576,421,624,921,067,181,898,
097,467,543,493,858,042,612,530,140,545,649,146,984,655,313,374,413,603,549,
606,878,923,750,887,919,153,832,598,023,774,613,561,814,973,875,721,930,463,
343,573,534,095,507,711,401,506,009,755,246,419,642,872,470,238,076,831,313,
810,766,236,461,706,624,217,015,980,835,092,265,678,715,360,896,566,397,202,
988,041,065,073,634,012,864,249,677,309,088,832,586,707,952,220,025,096,213,
762,423,757,467,708,289,452,444,552,644,940,116,202,633,857,555,445,913,712,
138,581,422,472,097,274,855,489,872,699,589,150,722,943,110,008,135,334,122,
816,596,493,406,230,483,927,193,958,536,420,314,717,500,419,216,881,141,773,
262,481,311,628,495,739,085,230,908,277,345,347,547,297,966,858,869,882,343,
153,643,358,523,152,584,341,338,767,840,152,828,866,247,638,356,190,613,956,
599,910,931,530,442,903,868,532,067,255,916,202,191,831,243,445,849,624,275,
775,552,576,720,122,169,992,703,006,313,316,106,571,988,348,224,692,903,400,
137,173,257,935,854,579,872,849,276,186,437,766,794,239,004,745,323,255,994,
956,270,601,100,159,836,696,810,857,877,963,103,086,959,229,803,907,532,554,
229,123,193,749,436,492,826,451,639,338,244,896,090,586,050,655,762,412,415,
136,723,512,256,861,740,429,428,602,118,811,529,135,661,641,417,924,702,323,
214,806,248,173,656,240,011,875,670,276,161,080,169,076,889,834,269,399,387,
380,032,258,354,906,919,988,417,753,855,470,298,206,503,737,620,451,375,634,
499,857,270,533,125,993,786,187,551,618,770,620,041,122,822,723,531,879,323,
257,192,930,157,303,035,880,982,396,928,885,126,697,418,879,089,135,658,450,
654,104,205,784,623,915,636,096,881,508,103,078,290,432,039,040,033,449,287,
697,440,820,360,599,355,127,167,451,646,172,264,228,564,078,943,868,163,016,
652,194,495,661,618,135,815,624,865,287,244,124,222,559,083,095,505,113,062,
050,332,617,081,689,672,546,518,945,738,944,443,661,373,322,213,098,373,174,
246,838,461,147,476,430,484,270,075,592,627,481,463,623,018,252,602,461,836,
821,874,461,811,273,204,155,233,313,691,603,620,491,953,605,330,100,727,467,
320,438,732,574,023,196,493,902,731,740,077,501,033,467,812,925,019,298,221,
286,352,855,288,092,228,183,973,760,846,434,954,568,231,941,459,796,972,619,
645,932,240,009,266,054,650,203,238,952,968,203,104,540,882,616,903,158,553,
374,610,897,618,504,904,891,130,988,960,408,508,918,053,662,028,278,928,772,
121,138,383,907,802,555,924,494,781,166,428,392,674,325,734,516,070,065,290,
761,755,307,128,991,608,226,412,132,474,770,845,308,233,345,345,295,551,136,
052,189,156,966,895,739,641,038,161,892,200,130,249,034,189,943,516,919,286,
761,057,253,241,188,711,176,367,117,608,866,326,533,778,368,610,647,484,513,
669,628,035,333,056,517,393,415,945,872,880,252,359,891,570,228,596,288,682,
496,091,747,600,877,215,876,520,925,067,228,961,430,739,788,963,676,184,922,
541,255,043,545,785,344,524,916,015,044,282,686,021,443,260,666,975,148,606,
414,716,891,919,420,753,999,292,769,898,275,967,690,215,189,202,272,184,974,
786,066,092,080,074,820,644,612,331,295,459,158,213,658,642,204,847,383,226,
333,554,787,934,042,043,265,657,827,343,330,481,890,540,090,566,999,874,790,
323,769,852,183,484,412,046,166,120,603,108,639,122,836,735,432,480,338,336,
955,306,729,121,090,787,399,771,928,578,581,234,059,616,232,733,064,518,770,
017,540,707,636,543,983,851,029,667,381,839,669,423,148,205,512,028,578,946,
847,308,840,365,208,189,371,978,318,084,186,826,434,896,841,294,924,017,864,
517,154,808,872,681,946,393,652,076,634,443,057,011,118,811,364,650,822,670,
850,551,887,620,802,071,861,614,858,427,704,777,884,973,897,874,796,235,501,
770,676,115,149,800,703,410,874,168,234,259,519,401,008,635,904,574,940,650,
724,560,202,555,787,767,966,470,305,152,509,917,714,836,470,935,164,530,247,
859,635,502,867,177,004,377,351,934,759,861,754,625,230,897,195,679,937,301,
709,272,259,160,994,352,556,365,297,070,251,936,188,209,671,700,827,324,212,
784,071,362,954,251,725,178,000,750,599,753,535,416,632,882,482,799,220,723,
983,931,437,631,806,758,591,832,870,518,342,972,910,450,285,458,265,619,550,
412,258,504,769,020,322,696,153,739,098,408,881,342,277,465,332,375,326,551,
869,401,745,319,821,170,010,347,021,456,770,509,929,070,837,012,735,318,509,
363,320,702,719,866,048,854,059,313,454,568,029,979,650,591,667,261,183,950,
360,903,018,510,137,903,482,203,458,128,703,623,253,147,835,814,743,418,522,
195,901,166,086,778,449,271,753,031,639,964,419,280,700,965,108,892,878,912,
178,423,971,197,723,231,416,347,843,945,272,633,357,313,068,860,991,412,600,
846,521,141,438,807,874,959,166,868,485,117,300,063,830,472,167,779,765,832,
586,650,416,966,435,521,244,450,576,882,810,255,138,367,869,199,760,218,394,
337,539,613,624,482,588,193,179,829,521,431,938,242,736,696,535,559,113,898,
445,238,292,104,421,807,508,353,749,287,816,733,289,120,668,894,797,787,973,
762,255,614,004,540,516,095,709,194,854,333,475,530,203,189,025,364,335,057,
365,209,063,172,352,767,950,711,844,025,366,737,812,605,881,289,917,193,499,
148,443,296,777,903,197,191,426,795,409,515,963,392,386,435,121,774,709,958,
696,514,826,993,336,211,997,814,072,548,865,571,989,066,927,340,038,754,113,
950,294,369,156,207,969,714,564,834,901,006,023,312,228,010,829,226,749,225,
976,485,994,642,437,691,911,971,130,032,623,408,979,666,409,801,976,179,286,
524,737,806,395,186,855,721,245,523,683,576,256,634,983,501,188,726,730,101,
827,696,700,388,024,986,808,510,404,177,061,672,959,975,003,285,639,697,779,
711,472,038,378,177,181,395,339,540,010,348,193,263,024,553,314,839,277,293,
144,047,335,250,407,126,283,362,519,388,253,076,010,824,301,789,351,018,635,
865,402,551,960,416,081,701,665,058,646,786,296,136,925,854,976,036,822,476,
807,953,088,682,163,484,348,869,032,823,854,013,292,181,149,458,505,475,984,
515,671,888,862,641,778,358,839,136,745,741,563,761,817,616,616,064,720,423,
854,844,830,881,625,584,265,720,341,901,848,737,960,633,519,444,572,658,766,
181,210,995,627,956,805,197,572,661,622,710,259,442,422,665,172,068,966,383,
402,685,210,290,807,994,221,280,716,215,005,231,989,951,372,222,839,053,494,
321,799,565,346,344,390,103,337,010,007,711,359,621,099,670,187,229,902,662,
147,578,018,478,420,038,165,862,541,281,905,485,236,752,773,898,996,750,959,
169,351,415,442,407,309,874,026,851,491,836,262,867,027,927,749,999,240,944,
646,852,599,643,079,425,160,379,616,924,585,227,346,545,986,148,322,212,759,
959,047,455,061,350,993,921,352,798,076,474,940,621,855,407,620,507,191,724,
192,040,779,613,817,345,218,724,374,723,579,577,936,685,149,092,622,995,139,
081,263,338,985,919,194,142,664,610,323,520,070,140,273,687,189,233,496,903,
323,643,139,019,730,058,637,483,201,018,160,812,017,321,720,661,424,404,774,
636,379,614,346,590,779,347,023,993,379,029,333,892,857,056,323,749,865,079,
892,660,403,706,138,349,817,777,446,016,952,964,920,603,642,696,041,571,244,
732,268,183,539,989,729,488,500,379,053,064,479,391,099,816,336,191,100,367,
555,601,720,618,485,756,358,696,649,454,846,168,132,935,830,385,560,252,617,
767,390,828,229,942,276,820,193,885,355,160,160,537,048,063,611,284,297,957,
660,257,917,021,408,198,134,929,621,358,698,110,461,676,086,372,968,670,797,
731,238,262,990,412,080,696,470,402,409,193,717,148,723,891,345,532,491,179,
256,736,121,687,825,576,648,891,236,993,942,738,731,415,774,893,361,889,928,
994,728,615,770,105,664,725,145,161,262,537,631,763,592,945,155,740,696,895,
816,883,101,064,418,916,765,371,580,247,039,106,575,814,657,184,819,111,137,
657,231,675,679,663,816,458,479,048,883,699,056,390,085,347,930,216,318,614,
259,741,112,737,170,784,795,590,846,091,093,612,243,377,215,484,030,565,105,
995,173,727,793,464,552,242,414,649,618,733,810,121,577,008,511,037,032,574,
998,390,561,076,643,397,597,268,552,794,542,096,468,292,758,615,841,438,423,
335,330,471,243,277,852,242,598,857,477,577,118,329,025,060,210,356,766,833,
986,188,454,311,174,443,674,038,552,386,193,343,620,957,002,451,260,858,488,
761,621,756,649,752,979,551,873,572,165,224,909,149,420,548,611,281,705,821,
463,294,009,566,560,747,241,926,541,461,543,982,676,411,891,588,150,672,318,
667,210,354,417,189,600,641,193,837,733,337,838,519,288,631,203,496,642,769,
881,537,165,177,829,815,309,359,720,387,605,243,552,396,975,938,744,565,201,
795,306,887,311,928,229,899,921,503,529,747,972,291,047,623,906,744,095,484,
904,431,951,821,685,758,218,229,970,778,300,080,906,630,599,471,477,915,690,
476,092,797,555,054,401,733,561,798,489,452,862,949,289,387,976,683,561,485,
903,089,558,149,261,086,731,610,917,769,878,138,120,066,152,540,602,690,776,
459,344,931,272,444,685,481,687,826,104,287,328,909,531,879,959,071,217,223,
955,637,980,096,380,763,796,535,945,754,573,650,112,333,574,936,110,605,053,
311,742,838,654,037,984,670,186,631,990,118,913,824,818,709,153,172,009,564,
072,500,994,128,545,776,691,877,910,213,684,239,183,023,090,356,868,636,767,
846,278,556,762,463,750,800,818,666,991,818,438,251,952,018,109,281,781,488,
667,983,171,108,383,488,512,273,879,673,183,404,255,328,613,081,451,505,998,
403,660,458,561,047,015,192,700,344,854,074,505,786,324,502,775,656,391,229,
079,897,650,202,430,232,182,428,206,239,964,608,889,332,524,279,779,926,346,
805,602,501,762,466,216,001,254,172,298,351,079,960,587,984,187,981,168,032,
197,036,290,662,121,329,033,525,207,467,070,183,118,155,401,571,018,543,209,
318,011,401,603,496,372,607,087,069,858,993,627,162,099,120,120,810,025,324,
711,429,174,456,477,108,828,739,525,321,375,205,717,127,975,027,723,933,629,
120,419,525,339,299,515,803,010,827,246,368,619,941,657,000,878,688,474,644,
699,070,439,139,154,187,007,144,301,924,813,158,966,532,972,858,241,763,674,
254,283,476,551,368,859,722,132,744,744,029,819,207,342,603,507,838,602,703,
336,588,260,314,684,695,357,551,232,196,008,978,472,988,138,368,781,451,638,
673,554,122,048,347,731,714,959,331,309,802,641,126,894,889,301,889,229,335,
078,443,513,810,506,462,619,186,405,233,182,001,947,670,163,173,915,186,152,
499,700,053,231,323,986,206,560,581,320,034,678,659,588,641,262,443,974,752,
641,658,446,799,628,995,018,191,366,386,002,853,359,925,862,223,681,766,571,
905,248,710,047,836,706,051,045,647,853,625,773,810,794,494,413,326,926,666,
179,844,661,606,149,395,931,863,649,865,775,857,551,110,649,575,823,055,646,
141,026,803,840,432,205,315,946,053,278,369,039,756,221,483,978,717,950,800,
603,430,765,017,340,993,653,355,690,595,693,282,171,249,938,635,894,617,873,
556,942,431,030,504,974,177,387,777,869,540,258,233,952,021,951,404,252,948,
736,895,624,519,166,690,613,233,869,686,625,906,082,316,909,506,074,976,708,
388,275,962,960,899,076,357,664,292,813,596,917,507,000,405,013,107,070,339,
091,586,187,087,334,301,543,515,610,005,475,499,641,463,852,191,519,402,937,
865,024,237,615,251,193,979,055,858,310,874,050,340,881,525,376,568,024,527,
317,770,338,585,761,834,220,228,759,001,646,509,244,181,870,759,413,566,128,
846,891,081,924,362,641,604,279,469,968,614,322,791,815,882,577,542,065,847,
451,931,787,744,046,119,191,456,280,867,319,442,480,541,442,086,815,732,902,
800,687,426,631,573,395,081,390,136,418,375,649,238,628,841,997,501,417,062,
844,031,146,660,957,545,175,573,977,122,787,116,069,802,993,773,353,636,008,
786,475,495,259,325,060,087,675,041,356,612,466,360,455,995,020,869,808,580,
821,113,816,240,955,494,373,580,552,039,670,532,074,908,340,193,035,241,697,
379,255,264,607,505,074,632,753,036,236,529,462,862,369,674,410,811,411,078,
635,852,180,217,615,369,586,761,493,909,311,131,334,076,203,160,908,007,493,
718,641,002,925,422,886,007,814,873,716,819,819,926,807,868,930,819,438,633,
659,500,223,087,439,438,939,945,857,195,595,495,813,787,416,375,261,233,514,
375,788,102,319,508,015,425,230,541,667,707,271,621,560,379,893,031,961,081,
235,523,733,989,147,855,373,630,348,059,059,025,970,427,744,013,389,228,601,
845,516,142,230,515,710,516,603,352,907,754,842,217,584,047,976,138,898,857,
452,293,088,180,889,124,411,966,363,051,929,182,917,489,436,339,547,798,846,
742,382,342,315,608,569,777,357,109,487,743,884,682,424,434,614,519,744,055,
690,584,151,617,208,737,264,343,474,273,822,067,250,205,780,929,796,897,755,
807,273,602,278,594,615,574,365,026,914,020,486,450,875,738,551,483,311,770,
428,730,639,993,678,565,045,318,503,271,918,459,784,739,403,586,037,984,209,
275,097,316,394,042,527,309,400,257,489,021,975,156,927,655,328,238,993,384,
290,218,865,804,857,720,715,737,528,354,938,034,391,580,527,484,959,424,056,
509,374,685,794,916,988,219,905,474,398,166,844,384,124,750,112,137,509,584,
466,902,162,357,508,006,740,025,036,003,772,216,582,546,131,921,314,324,746,
823,607,784,264,686,563,390,249,086,062,478,834,253,177,461,996,930,812,876,
101,584,041,683,753,683,968,893,321,806,983,244,243,315,576,339,810,222,958,
647,931,524,870,813,764,285,933,894,600,423,555,158,163,741,491,463,096,013,
510,438,510,133,209,435,504,461,349,708,604,505,500,065,358,989,498,348,595,
756,239,769,466,752,677,307,132,237,200,561,488,715,447,520,244,372,911,924,
179,117,983,134,109,737,478,025,767,210,319,035,639,360,637,863,392,467,527,
286,212,943,099,492,752,261,130,468,339,758,155,773,429,371,231,905,119,417,
496,836,543,583,935,146,048,823,047,704,483,832,936,406,793,544,023,215,721,
477,256,804,418,485,966,973,851,925,858,188,369,688,758,942,939,748,842,740,
096,939,285,117,983,359,453,159,935,709,431,177,008,073,699,194,161,089,216,
192,157,755,964,763,636,192,513,432,244,231,752,929,072,561,835,165,508,238,
488,864,908,245,894,858,228,513,260,702,800,782,332,468,725,187,581,433,860,
594,788,566,328,968,011,086,873,560,428,599,891,841,520,224,557,458,969,849,
047,523,400,391,838,779,074,845,270,194,942,554,734,194,036,005,842,205,231,
891,600,460,275,573,279,213,176,762,256,719,392,345,679,074,889,277,723,381,
955,913,731,972,272,606,645,007,302,308,995,432,304,391,175,804,725,852,217,
355,125,681,035,245,862,179,426,814,261,371,403,655,252,211,355,181,234,214,
863,634,429,077,645,675,223,671,289,208,357,165,605,158,677,101,468,430,813,
246,411,267,223,439,692,099,172,933,240,598,486,719,742,326,406,751,605,002,
663,564,010,554,741,804,391,655,083,779,129,366,871,129,955,870,785,312,029,
403,204,594,292,894,558,263,487,902,092,246,253,027,571,400,339,113,749,271,
009,326,507,993,427,044,271,842,034,057,629,782,925,435,066,578,092,466,790,
563,321,706,847,515,921,206,023,542,600,142,405,886,796,178,647,862,373,305,
119,802,137,557,657,523,533,952,453,261,975,025,277,281,345,957,633,825,764,
133,642,402,198,217,463,191,369,652,739,622,585,779,468,393,732,039,119,791,
837,577,226,670,346,866,289,348,030,169,733,052,925,669,462,025,298,879,129,
475,465,553,410,615,371,127,689,624,862,931,936,587,326,196,346,849,926,978,
496,736,150,268,112,057,904,056,223,038,899,208,917,649,662,914,919,293,130,
923,505,995,320,307,187,186,248,397,010,199,810,347,492,324,705,130,139,459,
647,363,474,081,788,302,499,775,164,210,769,614,763,121,113,476,224,485,015,
260,184,869,589,390,825,550,627,550,241,083,955,915,321,600,083,252,839,347,
116,581,097,349,844,530,929,281,231,359,524,235,112,109,178,663,474,487,433,
817,360,312,084,032,229,721,279,089,208,932,277,640,665,394,680,186,326,345,
870,591,990,006,599,559,012,157,524,864,842,784,339,117,368,447,620,628,320,
353,494,955,651,531,862,255,826,614,229,075,463,397,910,341,232,186,724,975,
906,764,515,338,747,277,398,669,114,636,734,360,737,913,130,255,943,008,494,
307,062,595,634,926,558,175,461,905,222,201,584,374,778,822,855,583,723,738,
223,876,234,130,428,601,661,404,413,741,241,971,274,378,490,527,398,174,140,
090,212,176,279,289,521,900,657,862,588,706,940,307,069,869,982,270,234,451,
613,803,931,383,398,885,915,164,448,616,637,560,628,357,317,214,418,315,834,
613,132,786,045,259,868,309,387,199,979,388,941,861,052,911,046,798,754,976,
494,348,647,740,338,146,167,044,035,446,889,311,221,865,541,817,053,962,118,
090,300,052,977,301,899,840,004,181,061,628,435,727,954,998,865,569,287,281,
755,269,428,614,997,116,143,377,169,364,134,314,238,730,118,030,864,779,852,
695,005,558,066,645,959,213,124,232,964,628,329,038,172,204,742,817,762,479,
135,257,719,416,539,119,449,698,606,894,441,654,557,012,154,633,594,826,237,
884,225,572,058,126,860,875,036,454,312,292,729,001,908,503,248,607,582,025,
691,444,582,436,016,164,565,730,926,879,807,093,913,815,591,969,465,532,082,
014,018,828,609,327,192,837,804,362,779,261,249,607,162,667,305,505,921,620,
786,833,190,557,490,087,336,074,752,927,987,257,616,030,480,160,171,955,774,
909,462,985,020,074,260,421,141,558,179,582,856,943,898,732,043,724,356,755,
202,206,329,900,463,020,552,984,995,115,091,605,380,195,157,692,387,386,720,
199,347,747,404,967,523,393,214,961,369,694,627,022,514,876,234,770,734,232,
807,873,940,708,529,788,450,184,866,531,630,742,116,308,618,729,519,809,071,
063,511,093,872,610,893,133,708,895,491,847,147,777,186,775,118,979,868,447,
286,491,242,856,380,182,025,125,545,752,668,551,704,807,011,604,480,972,910,
232,675,915,311,879,756,083,076,497,613,145,987,763,299,302,475,813,651,096,
428,752,617,805,604,771,095,158,657,476,826,615,003,715,794,454,742,934,283,
738,561,361,264,534,159,127,757,305,984,169,250,924,372,809,066,245,677,033,
547,322,881,885,114,403,246,935,628,404,047,076,731,939,132,603,447,624,550,
603,162,688,927,456,027,261,613,964,446,733,244,163,079,101,985,747,526,524,
638,998,387,689,558,598,553,415,841,525,260,017,516,662,147,269,330,116,147,
591,591,111,304,537,195,925,160,476,401,106,378,004,969,674,673,987,204,273,
361,739,851,591,862,947,763,340,465,274,721,169,505,310,110,068,100,861,507,
497,056,459,116,705,389,876,036,160,871,656,079,542,051,397,839,881,059,787,
971,581,650,144,115,624,807,231,833,794,468,709,553,178,863,947,493,326,898,
219,498,413,866,752,672,893,934,541,980,181,258,555,731,662,877,287,240,956,
581,673,675,835,108,239,451,620,705,291,789,777,393,322,113,855,621,109,131,
760,890,610,583,091,990,080,083,248,696,893,452,378,785,936,686,999,783,218,
849,459,415,355,630,355,082,094,297,031,472,967,090,799,346,076,270,804,228,
621,444,711,705,961,402,574,181,900,619,386,633,179,675,611,521,563,055,468,
193,603,809,077,903,493,724,376,923,644,505,835,423,682,935,644,810,181,203,
028,795,287,584,641,881,309,761,827,397,202,439,286,874,417,221,554,907,526,
024,565,315,223,059,901,614,146,787,894,648,698,375,019,689,463,845,353,104,
649,728,825,766,747,436,949,475,352,649,411,744,710,148,785,968,457,771,691,
289,633,473,306,990,548,525,546,328,799,717,186,357,479,735,199,594,774,573,
652,668,388,383,534,029,732,418,361,144,767,686,904,655,513,230,886,648,847,
836,988,427,423,107,335,634,710,421,050,261,507,262,492,408,149,441,830,764,
797,327,300,787,507,335,316,331,090,419,753,546,635,738,250,848,596,762,339,
087,713,197,169,776,751,870,505,199,658,986,025,506,462,802,396,147,840,238,
499,826,213,770,883,357,932,768,277,069,565,488,605,861,564,407,515,426,548,
771,966,018,565,541,586,230,765,732,177,150,044,317,571,047,133,742,318,125,
880,364,052,108,268,947,302,678,884,060,611,154,830,403,451,489,602,886,161,
422,117,318,892,849,557,856,752,988,521,137,554,400,568,706,617,920,156,760,
008,655,498,305,314,138,186,834,673,403,721,491,341,312,651,997,381,073,257,
169,943,409,387,772,324,901,853,781,690,381,182,387,694,871,147,775,032,140,
915,093,388,704,746,741,113,777,446,643,044,947,229,678,903,105,567,195,142,
023,213,677,642,279,001,685,499,965,277,006,491,450,828,619,922,498,306,869,
448,327,944,299,514,626,654,460,274,237,375,282,770,831,501,015,978,605,312,
218,658,588,151,191,731,501,004,108,171,733,952,398,870,489,146,660,161,558,
596,873,292,379,270,418,526,687,156,901,140,527,148,674,139,465,843,733,552,
453,343,797,364,430,945,925,962,811,373,270,877,722,204,710,579,538,150,720,
112,916,136,481,375,103,247,263,811,389,842,147,687,163,931,857,829,074,654,
254,295,770,758,145,208,128,991,307,267,338,469,026,108,985,546,904,000,012,
997,828,821,253,621,129,480,177,143,168,754,534,529,450,278,681,450,296,224,
715,808,110,202,495,580,436,734,814,039,746,506,147,862,452,588,019,526,615,
153,151,555,237,144,944,676,337,617,515,760,147,034,217,706,025,565,658,615,
929,881,238,261,896,139,450,705,612,466,748,998,637,552,471,273,880,965,919,
821,374,038,669,789,345,279,116,324,500,413,444,179,641,832,716,813,023,436,
836,803,844,286,758,182,937,532,373,308,998,869,098,752,316,432,040,353,038,
257,543,166,152,709,725,073,389,090,977,047,704,512,147,641,218,869,164,767,
645,589,571,811,923,163,981,251,142,466,762,094,518,698,647,975,764,767,892,
630,168,759,446,673,587,662,713,538,108,216,529,397,403,494,612,502,601,299,
707,904,203,722,208,377,025,388,737,012,132,988,093,550,731,015,122,051,614,
587,796,142,764,035,915,338,109,247,657,371,836,451,473,783,662,082,354,226,
657,354,092,930,475,324,016,507,774,303,020,844,127,176,058,439,769,813,963,
780,875,057,026,014,721,472,022,487,549,131,724,823,421,390,879,968,756,309,
584,081,657,284,241,030,212,430,138,969,980,305,965,144,795,934,632,057,309,
508,348,611,752,397,318,769,404,212,965,682,342,297,162,764,068,867,505,474,
385,428,145,354,393,988,057,354,802,653,939,188,170,418,573,646,088,224,481,
544,638,185,145,367,248,641,692,013,419,323,779,419,413,996,638,804,698,209,
879,006,088,891,606,370,833,704,319,613,809,579,338,101,412,411,472,719,435,
812,584,401,181,065,368,716,324,659,263,169,474,963,128,492,613,666,706,943,
087,814,201,130,711,851,936,900,566,141,987,611,352,188,832,965,145,561,230,
845,034,135,585,176,632,870,863,343,890,175,775,923,427,135,311,686,877,176,
786,361,956,908,411,065,401,873,480,454,757,627,822,521,018,087,897,544,483,
455,414,676,764,305,099,164,777,555,262,215,243,797,342,187,041,848,470,692,
712,796,440,189,177,333,150,770,080,267,523,583,566,609,729,024,432,528,756,
907,411,639,230,502,661,439,260,300,435,755,293,242,200,267,601,490,032,625,
455,873,216,170,338,042,027,015,831,916,952,778,635,015,040,018,752,861,053,
001,387,930,475,440,133,629,332,820,264,327,227,446,258,892,659,507,256,547,
696,205,458,022,959,400,343,814,245,058,974,547,733,811,315,703,555,830,181,
499,850,290,861,663,945,728,625,279,525,200,208,684,865,493,828,139,798,947,
259,311,584,145,564,514,385,968,534,166,556,623,553,858,490,056,112,693,729,
044,181,456,270,842,447,871,669,286,487,929,675,595,722,078,234,205,986,508,
240,115,374,197,541,838,576,295,457,965,840,189,295,032,386,454,886,491,639,
250,135,031,631,923,291,335,539,296,845,410,675,314,479,608,662,238,004,836,
780,465,304,765,716,164,160,030,357,060,190,980,325,335,246,933,512,780,806,
774,141,524,850,720,065,240,318,640,511,206,514,972,354,931,134,021,397,979,
780,901,181,161,933,145,315,769,374,670,391,703,942,319,806,865,958,271,289,
878,331,967,063,340,070,622,901,515,010,504,419,310,552,545,859,234,510,875,
733,137,012,968,171,575,000,765,163,427,446,687,465,988,736,556,810,026,029,
382,239,822,822,937,638,963,877,210,406,743,868,741,115,932,103,245,784,694,
147,059,785,123,559,922,187,304,774,672,911,094,206,870,088,781,619,902,687,
606,244,971,712,003,539,970,685,793,864,022,958,652,532,476,189,055,878,798,
330,909,636,050,124,131,998,474,258,079,077,452,631,951,982,418,215,522,732,
769,725,643,537,519,735,943,101,615,173,596,013,403,417,587,114,819,762,164,
603,367,196,941,619,434,492,021,633,247,991,052,837,089,869,145,965,174,837,
308,801,871,817,151,150,845,691,670,721,441,537,787,157,377,528,134,174,979,
450,405,201,331,495,733,643,617,368,503,998,628,899,232,512,691,326,278,690,
657,413,145,187,492,016,601,015,221,826,741,352,837,655,996,916,510,608,515,
071,421,123,446,790,467,470,269,171,938,067,586,536,987,669,849,084,309,053,
309,188,793,364,141,908,427,518,164,337,107,639,818,079,936,885,542,729,785,
508,836,667,947,031,079,322,385,825,871,466,446,863,892,857,263,015,976,869,
889,723,832,410,156,652,696,257,010,079,810,987,013,793,547,779,978,242,042,
329,983,620,551,044,795,173,009,236,251,761,382,839,852,346,761,976,923,531,
402,457,945,769,195,895,829,376,170,931,038,375,507,247,348,986,299,454,211,
388,222,803,762,739,121,128,160,368,082,315,081,423,172,098,938,889,479,781,
209,408,939,551,013,789,853,854,500,356,238,446,692,858,758,808,811,792,651,
072,541,584,229,227,183,628,896,471,384,476,041,326,518,611,210,876,798,586,
648,191,260,055,251,674,214,384,197,468,543,338,669,670,500,208,273,568,986,
219,105,667,064,290,780,826,258,145,208,035,484,691,372,244,215,250,723,994,
779,639,401,792,927,986,739,858,720,086,358,388,450,806,870,377,743,798,581,
376,761,165,354,818,461,789,212,621,490,013,161,060,640,144,880,533,876,918,
377,753,044,980,713,229,159,558,683,211,695,597,112,410,666,059,453,670,740,
218,803,817,241,689,019,118,415,361,582,423,097,084,205,523,480,646,596,462,
329,459,760,489,103,001,012,509,245,245,978,304,643,367,161,715,743,827,367,
888,572,414,878,481,774,785,314,764,376,911,173,960,301,857,836,177,265,262,
053,648,003,891,968,274,489,560,604,618,435,690,124,418,302,473,776,678,688,
038,446,848,072,862,637,438,098,715,546,195,683,116,723,147,003,961,798,789,
175,810,388,478,284,608,814,642,954,102,075,976,967,379,253,953,938,261,076,
200,427,174,252,841,797,066,360,148,435,325,806,377,107,453,977,672,524,609,
597,842,897,611,639,531,269,258,113,279,717,656,010,817,820,014,085,985,891,
385,507,412,876,826,443,117,471,656,118,166,795,616,910,549,556,589,734,669,
297,788,965,394,711,453,442,271,843,687,889,554,834,186,137,526,350,957,690,
959,087,201,572,678,052,814,381,468,113,452,538,973,518,244,573,329,004,788,
212,286,997,612,565,795,460,424,374,801,460,128,963,285,769,432,756,916,132,
607,389,054,271,645,655,027,900,380,963,465,219,517,349,165,762,182,858,335,
394,837,077,527,203,264,971,693,509,185,793,018,751,274,587,066,660,743,487,
069,946,135,295,215,987,780,416,944,260,525,002,284,425,351,478,909,649,747,
261,430,495,642,966,525,016,386,961,891,451,190,994,783,040,977,396,604,762,
222,352,976,503,753,869,736,760,099,393,678,080,570,023,514,339,775,184,251,
212,295,422,959,542,364,546,604,341,018,465,561,081,156,472,444,958,169,183,
508,599,790,035,753,870,063,920,034,703,013,240,120,726,987,610,237,112,140,
899,922,013,174,714,928,077,190,023,923,327,647,442,279,562,313,875,906,605,
256,046,640,911,594,598,545,793,313,461,618,558,123,126,824,692,096,660,561,
489,696,188,482,059,111,018,215,893,964,974,695,568,527,271,726,123,457,836,
115,138,633,206,044,743,446,413,461,058,229,674,405,772,397,057,701,735,698,
769,171,507,378,341,646,973,851,366,839,120,286,759,915,735,256,401,251,904,
221,850,798,072,637,283,265,446,277,735,874,750,431,340,646,039,002,729,314,
144,451,332,247,858,379,633,448,710,330,850,053,092,301,788,366,790,435,560,
785,912,939,389,762,725,722,591,220,816,445,306,125,980,627,948,134,150,413,
969,354,549,838,022,389,820,461,364,822,478,222,908,793,078,720,187,946,597,
162,365,718,757,721,973,491,322,639,977,595,636,318,619,889,969,878,630,143,
500,547,436,250,124,540,549,908,531,996,589,761,828,212,967,496,012,352,264,
007,424,428,719,096,352,400,239,441,424,040,337,288,644,263,163,275,552,576,
729,398,431,297,317,363,628,388,094,053,919,628,319,224,103,547,249,962,067,
587,020,611,940,190,935,731,528,831,190,155,084,338,795,449,351,366,209,135,
455,822,987,025,935,890,257,780,520,420,516,599,283,207,021,161,335,324,017,
491,683,386,837,456,662,760,552,002,806,141,720,227,779,111,904,261,752,309,
711,470,063,693,669,742,365,137,988,773,792,946,221,586,188,350,496,842,140,
803,508,139,393,133,880,184,020,457,800,902,932,114,957,105,934,870,424,063,
264,191,532,639,845,757,626,400,412,012,409,027,650,396,151,031,261,028,998,
212,650,511,275,990,585,260,457,730,237,489,191,702,588,639,631,706,178,905,
296,871,880,231,459,564,677,657,188,269,000,969,283,933,321,265,609,934,887,
110,723,086,690,409,251,323,480,840,903,177,002,994,088,032,914,286,429,182,
881,435,444,098,618,176,499,928,248,434,184,254,109,925,859,547,009,543,459,
295,578,910,569,608,140,999,392,216,920,497,797,256,856,068,573,177,754,148,
865,817,613,783,565,373,997,748,973,290,783,201,494,353,248,696,062,525,460,
906,378,793,296,897,878,213,819,011,058,568,810,184,570,656,715,654,642,773,
222,872,712,770,802,999,630,609,082,675,688,944,005,660,277,754,081,365,670,
600,030,577,209,796,719,658,740,366,737,077,619,687,668,369,217,025,899,170,
375,392,616,400,442,671,992,503,508,014,670,681,354,237,415,429,958,851,592,
460,412,244,384,207,495,581,850,870,628,419,635,151,553,356,209,082,401,617,
904,383,468,088,057,586,935,221,085,056,738,255,953,582,898,884,847,924,417,
293,849,832,111,093,366,183,166,870,338,530,539,116,582,466,489,217,244,739,
069,901,349,197,332,253,736,093,740,108,611,331,447,468,986,093,387,861,709,
855,920,044,183,987,557,269,497,072,163,926,447,637,860,308,092,568,574,617,
656,356,742,555,713,337,632,106,805,970,246,711,936,446,703,471,786,287,717,
330,577,000,848,874,532,706,542,567,639,874,550,318,472,411,688,900,480,322,
291,226,772,837,849,347,586,447,845,636,224,231,051,547,822,128,352,554,571,
860,794,220,902,563,867,147,520,384,371,643,904,605,948,611,738,215,062,621,
736,756,784,171,795,459,886,335,335,125,147,011,658,550,749,267,646,854,434,
650,558,610,244,393,309,961,177,858,001,736,853,722,609,002,636,199,024,473,
951,512,282,676,707,363,918,978,190,916,191,773,716,902,854,226,468,172,539,
750,347,222,639,502,202,284,308,799,143,125,253,793,231,424,476,037,531,597,
829,083,585,924,389,264,792,202,467,274,231,339,253,380,048,135,742,506,292,
627,512,284,243,941,071,660,953,535,367,843,290,322,029,580,588,549,763,794,
031,000,622,306,471,031,744,507,944,322,686,259,824,636,704,313,086,285,656,
818,989,066,382,666,858,969,464,762,110,542,660,222,766,599,427,413,670,345,
027,931,979,594,380,679,714,630,247,936,698,470,675,129,261,025,906,733,012,
788,411,162,030,983,403,855,649,899,649,220,616,143,967,578,587,235,557,639,
979,466,365,729,527,152,499,886,344,492,787,658,131,428,089,465,528,498,704,
792,259,243,876,182,683,496,310,612,985,587,486,178,826,942,113,253,922,838,
406,626,869,956,833,255,323,463,388,603,418,355,433,206,059,614,238,662,660,
614,564,654,795,960,708,756,811,529,225,488,325,242,772,588,342,718,994,518,
161,914,014,207,115,783,629,685,272,361,168,445,270,362,989,940,954,871,586,
751,775,410,300,047,769,306,515,424,943,721,756,917,409,316,958,071,899,580,
012,860,806,615,961,690,311,762,475,672,398,173,278,434,784,371,103,780,749,
394,989,073,906,552,781,717,052,406,204,939,319,080,992,433,547,903,253,420,
423,349,415,517,196,996,626,606,757,820,347,596,069,562,922,445,901,399,943,
002,578,542,144,881,604,886,813,444,672,295,068,599,560,558,822,907,101,559,
587,011,191,620,141,619,993,564,062,047,779,808,582,624,741,375,392,395,123,
266,253,045,535,056,435,309,430,822,818,041,085,469,518,868,918,972,415,205,
638,636,999,044,334,041,531,769,413,649,112,349,758,205,632,670,334,330,585,
315,228,432,865,591,811,943,020,348,380,804,900,004,171,089,709,527,987,377,
317,811,359,747,419,064,995,748,985,114,559,767,041,806,736,744,918,050,781,
832,963,846,242,332,441,110,501,517,885,046,270,980,905,590,862,546,933,411,
798,276,754,504,687,869,166,297,346,496,036,177,673,530,856,204,603,156,700,
892,331,622,504,002,056,383,283,229,620,047,289,393,174,721,994,125,001,092,
454,747,025,290,009,423,870,700,194,555,132,709,383,367,503,870,976,682,063,
825,898,924,999,485,601,492,825,893,186,673,621,234,101,106,636,081,866,542,
569,182,557,281,204,897,289,626,011,012,151,598,147,946,512,643,286,547,789,
077,281,038,905,541,132,031,217,973,070,888,401,347,982,692,064,912,743,145,
132,453,343,293,554,563,927,699,799,493,246,121,148,974,198,520,519,948,658,
224,547,710,199,421,441,953,846,403,383,179,106,109,813,362,079,497,000,881,
746,159,219,896,064,389,504,831,311,181,271,766,432,596,594,065,801,720,058,
598,956,999,276,704,165,769,192,283,637,871,395,518,460,505,778,753,301,320,
175,585,683,508,180,810,250,990,096,837,687,065,911,680,524,010,084,938,467,
173,278,766,590,598,264,479,729,523,303,224,256,420,330,211,435,394,781,566,
840,548,519,780,792,824,030,694,456,417,743,512,828,576,406,831,481,276,615,
021,232,150,194,751,870,470,299,462,981,482,892,309,483,140,093,986,425,126,
556,583,617,358,988,791,416,531,923,645,333,356,327,386,419,035,763,384,841,
037,762,411,249,219,100,659,074,463,840,929,829,372,857,734,651,221,566,874,
677,402,347,395,462,897,484,522,702,662,141,486,004,809,142,956,417,656,730,
304,421,269,580,671,842,944,154,752,846,969,406,407,698,200,950,458,322,029,
955,715,198,619,113,679,148,504,774,611,684,022,736,066,984,824,967,935,147,
415,850,680,174,641,286,824,066,300,864,203,619,884,733,457,846,282,068,172,
892,376,801,215,874,726,539,155,016,824,514,006,716,103,753,157,629,590,170,
394,192,400,582,590,477,128,095,735,343,069,439,318,579,319,813,466,320,891,
114,504,850,965,028,047,141,963,239,770,656,173,105,217,459,514,241,952,191,
568,739,077,290,924,633,851,559,400,193,290,337,960,823,543,160,671,121,851,
144,542,787,801,461,880,975,868,333,123,225,936,343,482,321,462,208,824,065,
342,163,236,333,543,801,335,429,952,412,951,775,214,332,500,997,321,768,437,
371,968,047,258,395,430,710,139,369,644,402,331,173,894,129,833,875,984,713,
616,797,687,605,141,735,619,108,350,671,385,891,935,579,153,624,870,521,524,
457,950,350,798,389,572,594,752,130,578,771,114,981,782,343,801,391,287,679,
598,041,905,549,430,639,178,927,605,299,407,840,951,629,924,405,252,818,204,
319,005,941,966,246,186,542,821,724,060,093,086,303,118,876,193,199,253,013,
378,348,368,443,903,659,732,612,118,854,578,840,999,800,089,794,854,359,133,
345,057,545,495,279,697,802,082,710,065,760,582,411,774,742,017,585,018,259,
039,254,555,580,738,284,918,382,732,456,288,414,527,577,075,864,422,528,698,
155,532,373,833,850,030,462,678,180,103,333,164,684,226,083,335,892,447,678,
368,020,547,801,805,303,754,480,656,326,661,964,387,153,157,601,243,861,065,
718,501,514,283,620,078,604,413,038,281,900,363,261,585,084,915,026,680,956,
864,586,184,362,987,810,707,304,927,422,888,960,344,978,974,657,578,592,287,
187,359,288,756,725,483,232,078,918,024,617,248,779,015,008,061,153,831,893,
832,167,228,243,926,564,444,991,149,004,741,908,400,080,937,121,080,251,528,
562,699,380,883,502,444,612,060,413,585,849,612,498,213,670,633,735,170,236,
843,770,903,123,611,439,156,816,541,186,350,097,105,868,730,677,631,133,785,
254,216,683,556,821,991,687,055,092,543,198,140,680,626,452,653,581,188,821,
032,790,437,992,065,055,121,327,520,412,878,104,704,893,029,868,677,832,520,
959,250,104,953,494,738,301,188,860,376,139,659,207,595,325,429,551,795,496,
174,909,254,331,754,079,718,122,421,397,286,571,186,386,923,037,383,627,524,
677,002,450,788,124,815,755,264,782,866,204,679,161,445,176,927,089,508,571,
137,161,209,921,263,448,871,420,138,711,985,853,382,013,151,551,526,140,928,
037,002,211,102,442,197,326,468,745,917,451,995,182,141,092,451,850,880,519,
772,302,784,517,644,988,673,208,835,197,732,063,091,634,792,911,012,966,898,
646,516,158,003,672,974,755,486,878,928,759,436,299,233,036,168,538,387,386,
723,472,807,172,032,742,605,782,785,108,581,322,705,167,877,505,939,812,991,
852,956,519,472,989,748,920,580,913,367,794,895,392,184,737,435,166,659,913,
986,799,761,438,053,800,539,784,084,993,992,603,035,234,960,328,767,045,525,
971,756,139,756,831,580,678,012,811,567,464,872,900,402,225,135,923,398,115,
242,234,883,045,686,834,432,751,810,933,155,467,886,857,903,643,779,002,355,
622,163,448,726,676,528,564,525,901,770,859,628,677,926,701,683,570,329,364,
452,952,335,458,343,977,430,892,366,267,967,297,339,524,462,033,583,849,683,
655,327,447,941,974,224,154,252,863,450,890,107,765,285,468,654,609,330,307,
064,546,612,009,998,128,781,286,775,437,149,589,135,704,704,213,254,381,585,
235,425,251,455,195,063,078,503,707,667,035,804,678,223,829,484,308,488,469,
643,764,411,594,697,336,917,873,702,753,309,124,291,308,912,460,752,458,641,
203,419,070,425,441,000,138,447,866,722,951,143,808,756,155,921,131,532,043,
092,073,117,782,404,645,884,560,792,557,821,608,810,854,325,756,187,615,483,
673,103,746,632,380,950,541,855,993,529,317,977,753,190,570,423,204,186,445,
009,056,535,169,057,896,450,363,581,681,156,759,419,964,799,894,797,655,780,
223,753,991,883,627,429,642,193,626,428,960,566,533,442,139,750,666,197,535,
255,512,780,864,078,499,765,688,177,962,776,451,415,646,983,821,903,775,530,
227,445,090,466,229,109,567,859,164,567,131,960,881,058,520,436,297,742,892,
943,216,271,037,656,126,354,125,478,772,984,160,292,217,956,916,441,877,027,
584,535,768,439,124,457,916,856,909,567,292,263,912,116,035,918,399,527,242,
784,582,016,135,618,984,194,858,766,132,391,025,028,820,243,458,728,746,803,
760,796,148,429,379,849,665,051,090,242,272,464,233,216,547,687,470,990,289,
609,299,526,990,481,528,237,397,944,780,430,582,660,311,961,101,207,755,051,
467,364,195,613,237,298,530,516,779,583,215,907,011,285,697,346,859,066,472,
739,507,860,293,322,330,034,272,393,328,469,931,224,270,924,430,713,747,018,
278,683,866,682,078,199,334,825,998,933,849,252,909,065,689,597,601,250,868,
614,164,200,006,017,201,047,811,603,436,470,899,206,581,240,255,454,815,854,
445,615,452,187,059,889,186,508,443,032,837,133,143,851,112,726,527,298,779,
262,311,346,910,229,838,620,901,906,300,437,585,709,721,968,621,964,594,861,
155,049,073,378,211,908,208,923,054,069,242,040,928,330,565,039,004,951,488,
151,402,057,437,668,309,160,422,252,891,869,512,313,061,543,845,702,742,992,
573,646,381,329,239,389,960,594,556,774,950,449,490,147,619,867,143,312,466,
719,645,528,971,609,727,681,730,368,267,059,123,541,713,724,060,171,794,306,
099,380,741,065,894,715,959,358,151,975,801,488,145,574,396,961,603,308,217,
510,802,843,039,876,355,908,796,113,419,629,369,585,702,992,515,265,923,853,
492,689,698,403,355,628,150,864,859,112,168,004,168,256,651,074,800,780,054,
518,028,510,265,235,945,308,474,879,402,322,392,112,551,725,464,441,227,383,
764,020,431,237,381,556,946,115,568,399,963,465,519,511,334,060,411,470,723,
396,598,121,779,699,507,990,870,339,433,671,582,570,268,612,896,006,440,090,
546,207,654,401,451,517,678,332,873,610,066,730,394,226,487,862,706,117,244,
496,478,507,991,144,194,560,569,984,819,177,063,422,256,849,236,400,741,632,
491,088,282,954,618,619,240,002,821,659,578,010,996,916,376,222,635,944,143,
921,642,679,053,382,975,863,325,718,605,251,421,891,350,434,365,530,378,478,
189,014,521,933,348,798,292,748,080,375,591,147,045,812,049,114,065,249,793,
245,815,271,893,969,770,592,891,223,575,174,216,841,482,723,223,664,096,193,
576,505,751,704,780,714,168,761,393,038,408,445,024,334,353,891,653,360,726,
667,179,553,056,847,153,221,255,839,445,084,462,270,971,728,100,224,783,965,
311,378,014,357,588,960,852,127,254,350,128,003,019,146,704,529,798,006,742,
064,465,030,668,487,702,142,537,721,979,634,353,483,979,792,030,161,377,261,
538,018,817,469,287,986,029,922,595,554,961,958,267,463,542,270,445,050,823,
301,081,096,323,925,859,887,338,629,971,311,105,012,407,802,654,477,328,116,
995,875,787,854,273,198,247,462,283,151,227,909,590,629,561,297,278,812,934,
414,816,573,902,909,425,297,465,088,552,276,599,792,584,823,993,670,705,370,
050,719,287,162,404,005,542,496,390,086,917,300,628,763,348,332,964,505,014,
436,689,798,033,414,173,851,019,214,199,165,044,424,667,584,440,984,721,389,
521,281,157,962,306,882,859,668,855,354,853,013,351,519,552,558,256,434,239,
755,746,916,203,287,136,931,751,302,707,202,575,730,420,804,492,494,188,192,
554,326,192,842,482,600,805,796,094,018,550,199,841,110,184,287,174,707,573,
712,316,723,749,548,407,221,072,403,103,849,292,149,797,572,660,537,117,965,
179,168,413,668,959,135,066,692,349,824,859,397,313,104,832,306,586,546,077,
154,612,152,772,797,754,112,158,513,403,490,583,384,486,986,137,731,126,872,
983,291,095,268,612,193,852,618,619,287,971,433,798,683,085,484,520,178,623,
087,587,241,758,705,016,052,099,420,353,196,293,238,903,931,023,707,082,766,
539,789,877,027,308,866,915,951,119,413,508,388,252,450,314,264,366,166,221,
639,396,405,268,702,721,998,516,447,856,386,955,093,966,702,701,258,738,438,
752,293,223,579,077,980,749,729,064,836,438,950,558,694,576,713,764,316,252,
698,731,821,941,938,401,856,405,529,176,954,566,852,488,639,340,925,302,504,
702,004,095,305,652,674,291,202,621,392,040,551,315,091,273,233,413,858,985,
215,784,627,690,957,948,975,038,831,483,940,282,969,582,903,429,350,749,593,
050,825,407,613,862,783,958,420,133,539,518,887,795,756,413,520,840,241,606,
965,705,239,251,980,482,664,315,220,717,829,280,162,884,506,493,367,075,590,
550,121,414,015,742,577,842,158,627,790,651,263,589,611,466,580,872,096,987,
153,604,347,936,894,504,113,074,026,999,201,173,121,093,617,253,326,066,179,
031,724,307,689,830,972,862,971,242,360,198,738,120,487,902,346,653,828,752,
188,712,689,549,947,042,057,332,189,648,098,345,834,079,425,614,334,769,523,
814,664,241,745,900,767,918,484,049,924,948,224,357,582,416,149,973,847,693,
408,032,616,107,158,082,066,640,392,034,516,599,466,830,030,319,716,137,495,
887,528,986,345,376,083,198,988,030,379,849,736,371,137,018,800,630,757,528,
682,436,410,495,087,797,450,277,247,062,225,268,973,374,689,419,356,509,398,
571,980,009,507,313,636,605,012,246,452,597,988,708,740,199,489,431,873,473,
170,085,454,289,441,768,313,577,897,601,700,722,093,468,137,132,557,396,309,
291,281,493,645,232,219,639,743,375,995,663,829,721,709,252,689,102,719,520,
428,279,600,629,132,681,736,166,301,314,924,959,971,764,888,667,378,449,796,
661,311,800,923,020,824,240,038,223,930,571,728,420,016,788,312,391,822,386,
284,805,568,439,974,376,703,117,321,198,736,785,092,809,482,525,944,597,688,
358,394,284,865,241,111,160,172,604,176,240,185,441,590,787,310,745,906,629,
770,484,643,586,636,273,002,143,472,682,111,334,887,434,838,303,953,390,295,
087,524,617,223,305,451,143,326,513,428,145,996,850,439,270,768,314,349,724,
375,334,958,516,315,415,730,799,196,148,261,020,697,018,524,398,866,242,632,
126,307,040,496,511,723,168,959,946,139,500,751,350,621,859,015,292,833,146,
068,999,589,412,906,673,602,242,028,710,022,729,887,976,871,108,513,172,392,
220,205,130,274,226,053,464,999,002,726,840,156,569,115,175,850,877,308,081,
944,711,755,345,927,668,125,771,809,599,624,841,911,623,886,074,906,303,399,
459,679,634,801,884,223,127,426,804,290,887,753,309,440,115,858,695,560,718,
556,933,429,960,734,603,403,464,162,109,772,951,707,676,985,149,711,000,978,
537,489,433,025,892,948,204,769,859,476,143,800,210,838,691,227,757,931,677,
430,236,844,140,384,899,641,009,302,056,548,701,897,007,924,503,157,322,092,
872,697,349,933,773,110,980,485,169,217,217,001,346,218,597,642,697,965,404,
230,135,009,577,762,603,605,401,073,445,103,840,091,993,747,424,280,783,875,
271,646,059,094,139,048,400,637,563,587,277,152,350,223,438,857,995,538,761,
061,481,024,499,198,554,335,873,156,248,315,276,988,300,467,060,173,296,257,
522,633,122,394,768,916,827,052,495,561,401,740,224,366,985,428,160,521,872,
142,947,485,430,856,017,776,650,349,260,845,160,068,592,277,614,824,109,191,
126,649,741,773,348,270,220,945,002,450,940,630,668,405,432,102,585,611,809,
405,426,993,646,733,698,395,480,559,768,060,309,966,704,404,127,643,538,579,
446,853,661,497,946,095,766,492,506,981,926,561,545,233,777,084,075,526,663,
023,148,855,803,935,180,550,001,253,379,116,114,976,826,514,486,150,945,773,
100,221,126,116,717,197,635,288,863,186,164,398,521,476,077,640,741,558,417,
356,679,997,290,293,235,466,194,900,451,584,280,691,450,654,266,819,901,993,
755,837,280,562,585,518,527,754,298,823,187,494,843,102,938,698,643,941,376,
127,600,914,000,021,310,890,934,008,174,757,272,965,783,199,019,519,221,591,
081,148,326,026,348,380,939,285,071,372,620,638,172,830,674,386,026,240,563,
988,039,111,418,454,290,183,175,913,481,076,585,927,639,576,831,153,304,817,
939,772,076,405,691,184,639,755,561,893,396,071,091,822,818,545,038,438,566,
250,608,047,775,324,277,341,553,760,764,326,640,789,157,732,102,529,087,844,
638,273,219,493,799,993,399,139,624,558,653,245,377,624,282,392,058,923,187,
300,523,947,375,781,086,389,459,073,030,322,909,366,075,652,656,447,805,882,
306,239,458,800,860,756,296,615,722,129,712,635,950,274,468,238,349,703,854,
512,697,387,618,988,185,937,989,562,929,761,251,640,891,032,883,663,547,569,
829,313,509,341,597,240,781,684,731,170,667,571,084,707,511,409,721,744,139,
895,759,417,244,345,200,161,591,798,185,054,124,585,182,950,707,462,927,281,
237,082,993,956,643,438,061,617,115,287,431,147,842,084,819,490,873,021,480,
564,972,396,553,864,951,763,869,157,137,115,797,318,450,187,675,005,043,326,
456,506,738,224,736,836,599,584,791,572,451,884,537,883,350,709,695,754,253,
268,860,949,137,103,360,645,792,822,360,934,690,476,620,380,530,346,274,793,
819,857,070,469,781,070,265,030,252,969,670,824,286,633,623,224,343,293,864,
670,361,692,535,476,746,826,272,418,029,945,045,242,953,362,799,697,872,776,
568,780,970,229,551,982,520,565,845,105,815,168,123,702,764,760,187,372,334,
181,105,656,566,249,010,207,465,940,672,446,853,821,307,916,614,740,856,215,
720,466,358,265,482,828,594,253,598,867,723,818,257,782,704,785,062,906,382,
230,898,590,398,801,655,576,981,550,006,664,768,619,574,776,896,854,394,945,
398,469,266,453,636,559,808,481,270,255,283,761,902,129,715,303,049,770,572,
582,091,057,123,027,387,740,202,378,355,779,710,243,920,686,644,239,007,633,
950,702,628,528,127,950,206,222,932,375,538,627,211,143,761,343,485,113,366,
670,887,505,334,718,722,594,324,970,808,713,578,640,625,389,414,584,507,927,
324,575,239,160,026,427,869,453,024,605,265,312,521,230,309,201,766,153,942,
895,430,562,372,688,517,024,859,964,018,460,813,458,058,783,649,492,121,147,
280,340,259,681,879,867,465,814,513,747,083,358,527,646,669,223,951,892,728,
810,245,528,479,567,977,140,882,409,025,380,035,871,618,885,339,143,402,068,
931,811,608,278,128,567,794,720,504,328,196,470,217,343,387,585,729,632,794,
377,782,744,576,094,460,643,141,247,428,043,727,762,258,330,912,484,213,784,
298,326,607,677,696,496,937,194,665,218,688,639,299,620,986,968,356,067,570,
731,061,139,529,669,998,191,105,313,557,879,271,786,422,144,890,868,469,590,
033,013,043,605,403,919,906,337,654,558,723,417,074,453,765,809,006,186,132,
637,015,915,268,626,114,255,333,504,835,035,236,777,881,009,132,807,013,805,
783,659,065,036,153,911,368,908,821,453,612,812,699,931,376,044,956,641,478,
825,749,675,178,323,713,518,002,659,994,812,294,777,807,779,489,278,792,459,
721,715,469,885,032,457,017,327,780,048,472,433,687,476,181,397,728,326,373,
177,174,779,942,909,618,922,150,677,597,280,845,334,504,444,522,954,244,081,
297,217,328,972,724,010,532,339,312,829,212,574,079,970,370,671,865,225,429,
758,343,321,493,891,839,179,140,944,766,173,534,624,708,333,994,272,296,654,
398,346,386,739,639,499,051,540,587,287,606,797,259,147,030,393,677,520,473,
023,358,914,257,254,512,922,292,834,783,712,317,779,779,127,325,475,489,481,
027,298,784,047,296,229,691,577,040,797,500,864,847,452,078,328,536,694,360,
924,114,620,880,261,361,142,401,478,988,272,025,939,761,054,692,480,091,984,
357,813,601,778,298,135,162,375,098,896,829,858,908,130,026,160,799,015,317,
682,520,107,908,084,035,653,313,679,766,126,743,099,217,284,357,190,151,672,
748,032,575,423,067,923,242,764,151,278,106,507,076,505,724,863,978,144,831,
018,740,146,894,538,570,407,339,539,358,172,879,419,295,801,284,256,861,007,
203,137,893,754,810,689,696,349,096,713,281,512,529,202,496,276,400,679,377,
718,790,438,510,511,873,014,200,415,123,387,349,842,421,076,886,076,863,692,
538,146,250,058,910,187,786,643,971,710,089,263,220,789,853,508,902,053,617,
606,047,125,943,112,076,390,402,746,070,884,661,135,633,250,187,035,570,100,
504,290,756,949,289,690,148,074,070,020,259,798,955,769,678,399,203,969,609,
144,936,709,871,025,484,087,772,806,656,373,366,701,181,886,628,342,200,015,
371,190,527,030,636,467,043,540,841,432,307,589,011,263,484,491,901,625,118,
700,880,327,049,188,630,094,721,789,969,025,661,548,212,887,388,210,613,382,
135,103,783,462,590,080,613,212,260,043,940,548,067,729,758,678,199,468,669,
965,564,912,617,675,928,346,403,704,020,833,660,961,703,961,010,988,221,739,
778,996,390,197,800,654,743,496,493,288,009,307,297,296,233,007,226,856,789,
078,568,737,470,281,444,432,062,810,975,794,150,718,646,306,527,413,785,627,
317,054,033,671,591,960,554,465,509,930,187,310,890,962,049,231,403,594,760,
177,170,149,256,565,672,989,701,011,991,426,649,468,767,690,505,242,352,118,
152,144,717,195,518,027,300,077,322,403,063,026,476,540,367,452,432,277,696,
161,562,848,427,580,769,505,154,334,416,905,521,954,159,155,432,066,656,137,
187,756,256,707,943,821,529,267,595,776,318,007,651,998,866,298,092,350,554,
310,155,693,519,738,376,291,578,848,081,163,392,256,502,640,721,129,294,501,
833,151,479,573,972,896,048,200,646,597,205,097,179,133,353,457,871,642,315,
056,863,180,914,216,934,825,230,100,853,525,907,858,950,788,162,706,325,818,
505,378,747,787,342,325,892,707,611,827,581,168,192,427,296,869,351,335,924,
238,206,732,334,665,872,735,394,114,216,150,416,527,238,414,812,169,627,825,
829,444,929,913,089,631,854,164,031,324,060,575,407,740,633,534,180,728,623,
220,619,580,890,376,112,483,197,098,434,849,805,002,630,238,374,802,495,629,
193,260,969,792,786,843,958,862,912,489,085,155,761,129,580,234,638,432,516,
054,588,903,445,270,611,247,046,169,953,497,027,657,027,086,228,511,869,130,
721,597,972,701,740,004,680,702,144,180,821,161,201,588,126,422,480,136,002,
936,412,878,927,644,103,808,857,714,187,123,296,624,054,301,545,756,315,511,
593,429,699,209,863,977,581,825,639,454,045,849,097,874,048,093,624,646,972,
682,671,807,942,598,692,569,272,397,981,927,592,095,513,573,545,949,105,509,
917,836,068,823,214,839,880,790,512,952,439,592,092,634,571,087,268,588,462,
074,018,352,428,190,247,085,703,826,857,948,021,107,874,479,454,297,571,698,
894,133,737,596,448,169,747,310,509,668,488,705,723,531,802,543,226,115,677,
477,920,002,861,547,067,354,851,880,857,054,513,506,041,735,994,793,377,981,
942,386,937,542,335,461,388,618,040,177,991,466,580,022,034,006,301,548,526,
143,407,001,245,598,243,069,175,941,734,723,449,348,031,296,228,369,102,561,
125,886,224,822,218,703,935,085,715,277,788,959,617,516,504,499,322,421,055,
180,449,941,137,819,255,140,893,904,933,978,563,109,247,146,901,545,348,068,
314,551,161,030,817,843,817,737,647,538,916,885,829,229,999,413,037,794,462,
411,482,787,645,999,562,003,189,725,108,347,254,220,204,783,633,773,324,729,
212,199,786,506,967,964,805,584,801,534,698,517,359,431,838,585,965,235,301,
758,289,321,932,437,836,714,696,600,028,432,375,844,940,578,814,057,907,921,
746,720,884,140,860,403,897,180,015,152,771,953,256,339,277,652,918,901,689,
901,134,576,151,264,842,881,568,004,779,657,584,656,113,099,434,479,516,299,
378,665,265,486,056,329,829,098,102,517,579,752,704,092,270,301,620,914,849,
334,841,151,800,800,126,089,627,635,286,358,338,583,694,898,229,274,541,151,
089,940,061,319,234,526,657,919,566,280,442,600,757,355,893,697,311,666,652,
005,096,811,127,888,334,249,694,253,629,994,213,338,734,706,432,856,016,418,
846,082,808,733,452,998,128,994,393,194,813,278,786,980,708,020,580,288,835,
058,775,877,816,668,733,518,480,150,782,833,679,792,242,991,463,440,218,579,
925,577,899,965,076,769,707,970,338,793,486,738,763,361,399,807,447,311,776,
184,309,027,177,103,760,972,376,190,287,268,679,440,247,760,179,037,245,866,
539,057,599,680,902,429,022,037,048,571,077,786,666,762,498,859,918,503,134,
312,804,467,834,139,776,634,558,687,589,845,886,378,642,925,527,779,570,557,
553,925,953,002,228,526,302,604,814,059,556,771,968,248,754,582,430,652,570,
486,063,051,646,399,634,618,854,125,618,402,124,353,443,151,407,147,537,642,
298,455,006,551,325,454,175,465,846,628,938,307,673,245,441,233,189,479,536,
299,413,739,500,543,428,329,233,260,470,702,377,933,137,001,393,813,969,646,
061,573,222,910,483,423,268,361,569,698,353,267,328,977,638,274,092,613,443,
313,155,495,534,685,721,203,532,542,809,090,821,836,492,638,060,133,819,855,
749,480,337,846,973,204,068,358,802,023,004,013,865,069,850,036,893,600,892,
541,601,811,655,781,906,045,611,989,974,278,806,365,981,913,396,486,418,872,
229,892,879,539,705,127,051,122,245,222,389,001,133,660,117,991,900,435,328,
684,952,159,547,947,569,093,342,841,789,758,913,510,410,491,385,423,920,054,
557,427,322,341,584,976,092,531,430,260,808,951,315,089,805,876,313,797,721,
549,331,870,792,723,924,503,634,240,230,141,251,673,081,386,207,550,145,762,
325,631,402,577,716,414,261,726,357,649,768,682,918,628,392,664,022,453,934,
315,085,475,165,823,902,245,127,124,724,606,479,895,204,223,678,693,544,333,
320,382,268,966,528,483,399,871,408,795,024,540,788,049,197,723,987,842,093,
943,854,944,476,474,206,260,211,964,859,895,122,525,013,962,730,121,721,035,
677,449,366,481,210,374,134,188,900,563,388,916,510,011,871,898,125,586,290,
423,750,936,107,651,933,293,399,216,582,285,100,995,415,747,280,937,952,864,
370,993,752,292,206,145,986,935,712,948,911,990,938,756,609,039,713,928,364,
720,970,415,604,406,239,089,845,058,084,439,488,748,762,014,469,895,360,877,
685,687,326,048,912,182,488,036,903,018,457,071,993,855,157,090,575,188,177,
795,698,370,388,091,073,750,501,788,495,829,135,041,767,520,283,156,430,754,
577,085,008,305,139,551,467,106,891,406,627,182,349,578,808,440,318,506,235,
289,649,240,261,163,838,770,969,651,017,235,839,921,242,625,845,331,132,816,
438,635,206,558,845,184,798,663,217,673,587,867,672,477,943,360,791,178,313,
409,058,363,876,952,039,263,599,400,009,790,613,978,369,715,476,354,950,850,
417,972,083,370,747,600,031,322,348,185,125,015,564,095,440,913,381,016,687,
307,122,256,502,106,216,217,163,899,576,380,227,930,719,535,968,649,824,868,
015,089,266,821,656,530,262,790,595,310,846,833,893,402,847,089,617,409,915,
576,871,666,733,286,616,663,862,174,548,420,221,334,634,055,861,547,112,346,
820,428,963,074,725,395,849,027,933,953,703,611,629,828,613,396,980,801,004,
377,942,759,964,788,460,161,179,195,260,889,042,070,127,882,325,927,143,848,
552,410,334,667,740,292,712,180,226,996,922,636,636,495,788,275,586,690,283,
790,683,181,523,458,403,141,378,983,100,511,032,991,995,429,264,507,765,449,
066,378,119,723,406,659,674,897,052,596,378,755,684,266,754,183,289,172,824,
675,749,024,201,397,089,864,003,961,523,803,565,296,538,821,541,356,911,532,
714,034,131,460,292,973,626,529,167,341,723,446,427,718,082,858,036,404,590,
883,711,802,488,755,912,767,779,229,213,713,262,515,495,845,423,670,026,470,
072,300,872,385,996,420,061,616,178,893,648,740,058,637,673,888,588,616,312,
267,297,745,492,044,984,132,761,141,779,687,117,314,975,814,795,376,563,434,
604,398,705,585,909,709,932,291,015,079,483,571,703,034,996,484,647,701,875,
175,068,375,093,592,188,963,707,422,831,470,711,645,125,261,805,328,804,423,
602,267,111,838,288,342,202,224,986,896,279,558,548,526,313,029,219,849,445,
016,666,240,772,939,512,670,217,829,277,495,424,606,895,513,805,111,945,675,
173,916,091,855,264,968,044,170,550,064,751,028,173,532,391,494,198,137,252,
765,189,688,687,745,680,272,021,773,087,550,756,169,209,567,118,347,107,031,
789,283,668,896,424,238,973,112,996,638,308,143,603,713,706,282,336,203,180,
122,942,907,220,598,977,701,398,323,872,529,033,971,732,836,083,877,072,007,
674,651,353,233,047,074,303,850,390,611,146,470,965,055,512,697,589,688,079,
552,767,087,776,965,180,527,389,863,928,952,793,040,338,815,740,872,239,625,
946,973,729,022,411,029,681,744,587,967,342,026,652,336,945,172,263,774,104,
454,324,333,255,588,683,116,010,712,812,156,657,552,148,302,295,265,746,292,
835,190,138,904,727,344,510,519,321,311,063,079,765,062,065,942,548,072,862,
021,302,971,276,595,662,663,584,039,640,452,737,570,241,633,832,449,763,643,
936,214,199,008,889,106,992,154,962,525,003,722,406,438,345,499,067,103,041,
743,165,570,807,668,829,598,791,773,897,691,738,501,503,649,443,343,359,601,
541,524,372,676,057,187,563,373,351,260,091,261,749,660,868,780,455,797,574,
158,792,140,566,228,537,848,602,664,461,593,341,478,635,754,634,447,860,332,
148,723,370,592,683,913,392,033,664,460,794,757,409,476,923,221,399,155,487,
824,973,055,934,848,162,812,094,490,882,369,837,412,025,615,404,763,630,350,
904,436,422,597,358,982,743,674,717,003,032,419,148,157,866,874,114,247,145,
676,120,670,002,552,335,159,814,359,821,079,483,162,691,477,069,453,574,644,
428,857,566,133,112,194,839,860,829,063,037,326,455,549,339,441,880,240,381,
654,476,930,649,458,340,779,970,114,313,125,129,197,665,552,813,426,652,841,
819,606,152,977,503,657,596,717,906,027,462,922,501,841,510,270,865,958,497,
398,402,303,032,116,285,219,741,125,815,903,953,679,703,737,968,661,565,717,
536,739,011,682,254,496,304,661,864,063,506,703,991,451,661,834,352,225,556,
266,831,249,513,178,244,944,395,177,084,759,944,430,477,864,414,981,395,346,
709,537,909,548,402,821,257,727,503,817,948,627,916,628,068,028,098,547,894,
498,677,078,416,580,940,185,066,096,391,656,344,688,247,454,635,239,851,575,
172,647,286,674,737,362,069,581,167,972,204,824,095,454,261,787,019,554,798,
829,974,664,008,536,186,865,970,342,467,271,166,856,055,294,500,320,718,098,
632,442,448,510,269,108,987,797,000,189,010,203,937,680,409,740,026,154,924,
189,057,974,896,924,424,607,027,104,067,196,126,226,105,090,858,236,905,331,
739,877,393,769,453,336,964,037,448,333,915,647,612,938,949,035,252,875,997,
396,601,544,346,366,398,043,075,385,348,211,222,696,816,533,486,355,384,415,
896,517,666,417,548,942,269,882,235,692,354,309,245,356,866,275,908,787,882,
155,909,513,309,332,990,764,112,201,727,160,089,060,977,668,864,445,157,264,
617,166,219,617,152,236,545,889,309,046,876,345,356,680,817,216,904,745,420,
351,458,450,632,669,134,272,885,843,984,353,557,196,163,606,302,678,932,775,
381,770,978,958,367,852,375,461,905,929,655,781,803,805,301,396,128,470,518,
505,848,012,953,754,826,918,780,732,920,557,430,756,413,423,063,506,041,649,
029,742,000,846,143,648,421,894,779,310,164,788,157,488,130,604,749,884,415,
632,011,432,305,992,484,246,749,413,732,432,401,865,803,627,153,060,047,075,
699,264,030,893,880,836,004,104,867,746,297,598,693,487,308,500,126,593,928,
246,720,324,196,423,772,850,078,513,805,050,430,717,731,981,927,766,272,645,
727,965,766,188,495,154,455,499,659,741,936,735,403,372,627,000,186,906,871,
439,763,959,954,400,285,633,185,927,369,355,016,750,686,991,687,420,981,802,
523,838,955,365,498,450,539,609,311,475,980,393,555,596,743,007,433,873,353,
809,107,217,415,630,136,786,843,590,483,566,780,568,615,778,749,815,759,467,
832,608,153,313,052,908,400,272,335,358,792,321,750,877,109,343,305,180,942,
625,587,909,035,164,583,631,440,263,383,162,522,980,517,729,994,916,765,587,
815,858,326,587,855,748,445,169,785,728,248,876,978,957,037,096,035,455,987,
197,722,131,492,698,846,655,337,106,010,186,261,581,704,988,688,047,650,618,
461,874,893,957,808,640,988,040,050,523,216,527,647,493,222,427,252,509,945,
044,051,656,861,923,217,695,703,289,405,953,887,020,822,447,187,001,302,900,
907,517,766,267,378,318,330,175,008,282,124,021,418,465,784,778,137,996,504,
310,209,331,594,360,530,545,425,861,501,673,576,732,613,633,644,848,775,344,
457,977,561,533,188,290,438,647,402,890,026,574,906,270,249,272,840,520,404,
155,467,081,621,962,579,567,116,980,268,042,523,351,852,327,815,072,719,003,
843,962,521,846,496,649,390,710,979,238,541,722,315,167,690,958,224,337,649,
552,359,715,787,521,556,946,773,079,987,623,898,280,580,531,215,006,350,775,
256,321,108,672,573,508,758,751,183,571,664,134,518,973,978,537,457,821,896,
982,181,478,315,763,038,507,176,781,630,349,217,734,428,577,883,699,841,697,
695,671,882,234,582,216,271,235,229,254,144,099,406,410,322,291,020,843,728,
208,343,874,799,334,181,139,636,158,038,411,475,322,510,457,377,862,861,345,
219,750,781,360,515,917,716,380,937,819,472,625,699,048,586,596,342,415,761,
135,507,101,007,430,390,709,740,490,140,256,153,104,262,798,219,347,441,001,
987,506,836,286,840,038,423,150,806,855,626,511,192,371,503,354,181,044,279,
388,103,850,125,358,826,034,234,665,936,482,727,642,484,959,545,499,652,834,
808,478,382,731,786,296,106,562,740,835,041,027,153,614,823,480,490,798,638,
086,790,822,278,666,330,396,577,469,856,437,328,057,469,389,859,718,785,998,
924,457,232,924,501,727,715,529,203,117,952,601,161,346,267,883,814,695,119,
228,934,936,591,489,724,275,211,400,243,404,273,784,752,802,905,864,214,441,
042,263,585,794,956,748,302,018,737,232,076,440,144,669,058,561,315,222,333,
355,046,742,341,476,535,727,569,368,641,206,001,118,201,608,494,899,147,454,
882,991,997,863,492,722,483,198,707,733,946,441,458,382,157,776,632,009,848,
642,089,629,329,577,488,704,849,652,393,630,124,347,174,247,339,817,161,763,
095,845,760,275,052,761,518,431,329,694,319,969,961,889,295,847,770,511,317,
479,290,216,447,228,898,167,100,909,125,911,250,369,859,114,450,618,564,013,
230,231,692,118,906,193,220,560,181,775,092,302,429,860,094,790,951,820,675,
919,009,744,978,439,547,792,618,579,420,252,563,435,166,161,943,112,416,063,
594,822,300,588,902,859,737,783,064,471,171,720,360,470,300,327,235,921,032,
968,782,431,802,753,646,502,860,083,983,482,840,008,625,061,489,226,532,674,
812,042,270,799,991,322,821,714,506,371,476,102,884,122,555,411,394,422,219,
743,134,653,034,630,077,371,042,672,148,480,516,142,073,578,346,314,153,909,
239,553,845,934,523,165,419,834,982,374,983,109,384,302,329,178,095,570,410,
585,460,476,174,880,333,419,982,109,512,180,167,377,399,862,208,066,951,605,
550,894,415,379,031,677,996,677,966,039,126,777,243,991,607,172,600,215,311,
959,010,086,066,575,556,453,657,283,498,491,493,135,844,844,532,173,172,405,
223,342,439,630,812,542,058,383,854,360,735,610,795,650,334,286,621,791,542,
891,289,659,890,605,541,789,702,037,420,900,727,993,282,149,470,505,845,025,
145,423,708,693,693,798,127,114,506,105,817,558,615,890,417,469,720,190,239,
371,753,612,730,647,329,574,347,627,960,535,023,722,151,440,434,573,211,083,
079,289,764,639,448,961,820,913,466,126,661,972,492,582,929,715,932,741,677,
634,509,633,762,533,024,272,905,487,053,167,675,957,148,942,095,939,653,674,
218,154,692,214,379,364,447,187,952,266,229,050,154,026,495,819,793,886,443,
775,581,591,880,064,027,243,523,526,395,103,947,403,942,441,781,997,151,299,
786,420,551,043,391,652,545,691,654,737,923,876,259,536,563,138,851,774,848,
170,153,260,014,047,871,200,962,143,028,913,699,594,360,835,191,587,196,340,
177,767,104,333,579,542,752,621,215,260,588,876,236,820,932,329,930,015,447,
026,645,472,890,181,824,869,288,882,874,102,846,120,307,319,080,106,802,239,
057,590,739,681,189,529,128,113,987,793,852,488,905,131,930,404,015,560,076,
325,605,435,937,285,477,866,321,643,223,336,603,152,683,232,744,427,507,688,
802,477,787,163,777,889,885,057,677,941,700,391,752,228,855,110,453,647,504,
189,387,811,833,309,342,928,332,189,121,460,368,112,505,050,722,862,867,081,
423,608,747,136,395,003,784,172,147,185,105,829,028,537,265,422,484,126,112,
877,284,643,547,427,954,461,407,239,183,642,647,762,807,523,891,379,982,830,
558,779,216,472,784,565,816,024,573,402,933,248,340,963,749,159,623,593,542,
499,045,904,024,827,136,391,115,943,021,503,198,687,288,812,253,890,970,438,
641,135,720,199,440,250,396,614,217,193,994,456,984,171,692,045,419,637,253,
746,641,245,576,855,675,891,747,530,079,410,578,913,334,704,912,619,871,772,
055,025,437,187,220,336,637,956,606,973,254,607,607,554,107,204,780,902,495,
990,894,650,580,968,353,679,577,752,408,993,842,384,427,295,775,139,206,712,
949,346,605,505,782,514,177,957,628,712,227,144,078,590,160,712,957,526,641,
819,703,731,191,707,304,464,869,220,964,484,464,339,546,669,735,826,586,538,
002,643,792,211,845,894,322,436,996,359,128,662,410,416,712,577,476,484,114,
281,246,769,605,997,098,121,231,873,592,937,364,199,765,082,685,948,234,247,
100,858,074,857,607,024,433,804,402,495,039,124,752,681,279,856,104,281,715,
566,205,948,398,672,628,506,794,391,506,622,200,014,877,334,423,846,735,298,
385,397,351,069,946,728,220,938,906,517,644,963,732,728,886,009,144,822,670,
642,045,075,012,421,439,880,279,193,055,361,124,741,640,926,139,106,509,436,
036,651,874,151,304,798,307,594,155,945,483,900,322,303,938,539,046,636,554,
793,109,663,856,414,530,752,954,158,821,640,581,476,460,437,990,484,820,481,
954,946,968,114,847,082,410,750,074,263,245,626,900,404,972,420,625,664,893,
008,293,910,575,531,550,361,368,704,041,539,960,020,983,578,212,390,384,411,
543,297,003,051,822,952,257,823,888,653,785,513,476,699,914,898,698,136,256,
747,246,603,004,028,772,584,318,434,474,436,943,048,162,667,408,486,826,014,
976,021,508,114,100,937,645,859,095,091,219,197,148,680,874,570,687,986,063,
425,129,045,673,554,350,843,700,831,629,201,777,976,738,082,535,712,927,130,
328,194,893,341,866,273,860,508,325,602,554,581,777,574,996,615,895,378,220,
831,460,918,158,918,341,483,701,302,657,408,405,568,220,148,190,252,365,912,
693,612,887,290,023,084,786,308,755,797,102,187,951,978,822,241,120,755,375,
686,116,861,200,731,649,369,091,835,684,177,950,165,448,657,717,431,047,629,
857,527,121,802,081,844,980,354,358,537,995,379,624,443,644,775,340,877,644,
158,344,183,999,530,791,753,495,642,329,266,902,610,873,193,209,149,261,434,
571,027,355,418,448,289,451,379,667,476,171,942,438,693,707,415,875,638,581,
203,059,194,015,057,322,806,689,702,005,030,727,607,973,299,673,903,847,680,
585,901,349,700,991,389,352,937,339,220,562,397,566,401,412,555,917,211,641,
975,555,406,869,585,390,329,800,025,973,225,023,346,861,466,786,464,622,343,
658,066,822,061,383,890,319,977,020,793,406,236,413,709,702,101,789,896,406,
061,358,180,971,657,360,326,482,982,424,039,318,806,086,195,836,968,556,891,
432,101,848,579,643,387,828,298,311,862,404,216,683,703,718,475,160,062,375,
243,603,081,005,454,450,753,175,184,349,202,248,304,251,614,134,163,051,028,
241,387,411,271,689,488,980,131,796,420,225,624,917,819,952,736,774,774,965,
754,514,263,665,734,815,965,193,295,691,291,696,667,202,842,603,233,754,901,
894,864,861,020,095,138,796,009,518,191,005,078,862,680,196,242,182,070,735,
257,159,253,456,599,727,072,549,175,876,322,452,418,369,069,015,965,662,256,
796,716,808,466,512,886,360,084,029,947,329,836,511,349,471,987,305,648,695,
855,256,835,970,291,699,438,540,186,816,825,880,199,615,292,025,137,490,915,
593,177,344,609,356,223,026,726,142,529,162,710,555,511,477,620,037,177,059,
557,234,908,604,686,664,576,535,938,700,010,327,117,672,758,143,058,835,122,
384,077,513,091,742,801,814,390,427,622,441,317,147,781,120,891,061,728,550,
300,368,489,302,321,521,191,298,046,336,506,424,317,218,020,780,172,514,918,
549,676,222,817,486,187,488,533,646,616,438,199,400,337,354,353,959,736,583,
394,155,942,414,293,035,000,274,583,577,087,028,613,113,975,243,546,922,474,
581,735,359,272,939,229,241,282,316,968,213,017,351,016,733,836,839,373,677,
465,505,763,577,256,068,998,744,245,067,176,564,313,665,905,458,278,019,476,
199,911,034,995,457,867,599,206,659,327,420,098,972,980,940,336,034,628,090,
296,768,031,590,002,327,720,297,331,193,217,784,619,298,992,100,778,243,160,
984,432,606,607,415,490,153,437,645,031,392,117,827,473,216,324,405,178,676,
018,159,086,820,016,161,719,309,511,224,253,938,637,387,827,262,803,175,422,
242,054,559,003,916,436,109,165,904,564,878,306,601,126,183,619,376,567,933,
947,577,517,163,169,130,452,049,593,753,710,740,085,644,017,427,160,952,586,
547,560,943,170,497,641,700,482,244,485,119,225,837,354,082,104,268,695,287,
635,107,499,922,243,827,197,287,802,868,725,337,464,896,450,262,443,399,982,
693,186,254,769,464,538,141,180,091,396,010,759,559,759,593,216,399,120,397,
360,877,777,164,066,635,631,865,802,535,762,654,507,711,523,818,701,025,242,
046,743,216,060,924,962,279,178,936,757,534,797,125,519,593,472,734,539,871,
474,795,896,227,888,841,208,933,857,865,964,625,058,663,363,329,652,951,286,
239,826,854,704,302,737,690,660,062,200,682,824,645,084,983,658,799,980,220,
564,020,864,325,007,284,332,467,456,316,119,983,335,308,455,215,296,412,434,
599,647,404,400,430,632,276,741,635,593,848,895,346,177,748,117,771,609,609,
163,050,088,960,984,931,358,519,889,270,310,789,072,924,018,500,828,734,979,
056,861,083,726,484,746,434,224,926,290,444,289,980,775,784,731,742,629,887,
258,049,766,258,667,903,330,888,646,493,094,424,560,539,526,481,647,356,314,
554,765,098,537,298,817,291,366,910,403,587,702,780,198,497,195,014,610,074,
222,400,428,392,009,503,050,954,584,652,775,007,924,428,925,406,225,467,559,
643,704,630,529,703,768,901,855,071,392,248,022,796,467,253,812,334,772,930,
542,551,643,697,432,596,277,008,887,499,077,252,745,778,689,280,874,045,032,
540,697,752,247,750,069,393,408,425,909,700,460,471,804,014,482,967,321,886,
394,923,359,612,210,915,859,774,393,951,999,249,145,806,610,570,908,526,554,
355,322,780,998,022,434,924,082,491,925,973,041,936,956,545,850,221,013,761,
270,574,624,990,144,077,964,070,769,688,362,569,096,095,622,526,825,265,437,
160,388,141,771,826,462,019,400,988,909,346,440,060,436,036,675,835,782,221,
751,349,676,675,448,982,727,381,297,466,118,267,262,490,699,464,056,317,206,
607,441,238,828,992,752,881,122,353,151,702,154,098,720,563,109,252,941,859,
594,414,143,198,616,742,653,073,838,830,856,363,057,207,777,995,212,363,411,
153,256,773,079,794,196,980,626,345,125,920,262,291,609,099,661,885,083,149,
858,455,779,418,631,978,148,859,512,243,137,164,591,374,377,849,910,559,090,
756,329,686,808,555,489,246,933,322,391,519,054,412,618,864,174,590,355,517,
188,889,807,763,302,772,199,626,645,270,660,735,464,955,508,016,129,235,582,
251,453,525,618,875,165,326,006,049,180,321,933,219,843,054,427,679,973,405,
791,392,604,185,798,446,009,156,929,330,203,045,974,044,536,481,761,400,995,
040,824,580,455,419,435,996,175,412,689,070,895,264,896,908,757,651,498,428,
979,864,167,737,313,837,601,050,892,430,650,299,113,741,259,569,355,597,526,
467,045,704,596,792,755,241,265,965,731,913,203,616,882,460,691,164,189,182,
708,279,382,627,154,619,958,480,966,853,330,294,513,783,390,897,270,461,100,
666,485,131,811,532,300,138,978,829,042,816,634,268,079,068,760,255,268,211,
644,606,365,897,364,415,273,809,964,331,917,394,232,445,180,364,759,513,065,
954,723,928,204,355,398,435,190,225,372,234,084,078,845,001,411,783,036,589,
001,336,674,453,396,737,581,880,034,175,459,774,161,264,670,609,039,666,351,
131,749,309,494,780,543,136,057,702,029,427,044,187,742,128,655,190,306,826,
219,786,586,304,564,501,458,024,310,401,034,223,940,921,472,611,001,911,092,
497,005,735,551,541,008,505,664,252,657,170,602,455,044,347,500,466,976,299,
252,996,658,980,531,151,182,555,793,504,194,670,874,966,075,332,903,465,809,
976,245,102,753,713,803,506,129,191,959,386,184,525,327,904,194,805,651,594,
435,392,144,245,067,456,467,851,210,731,654,307,586,769,445,644,082,998,493,
305,966,266,642,225,918,547,854,920,731,543,979,662,276,882,150,497,663,655,
457,018,354,409,966,636,624,139,603,240,274,310,029,877,277,094,878,909,231,
043,305,516,693,474,769,824,972,896,610,473,179,780,511,358,773,766,677,177,
539,850,111,647,886,058,196,545,797,691,070,394,787,818,127,253,794,384,645,
012,898,495,181,676,106,762,897,555,721,679,673,221,328,431,277,161,558,407,
064,326,570,479,471,209,403,935,065,006,660,558,975,330,915,895,034,127,577,
321,106,125,522,854,673,102,740,698,514,124,375,581,765,054,156,613,778,455,
505,251,322,278,450,877,279,172,350,390,191,075,151,803,069,578,795,097,887,
888,560,058,993,478,824,027,607,159,859,967,797,494,921,296,328,368,439,303,
822,179,724,813,666,839,915,239,821,506,955,812,705,210,031,028,702,829,562,
553,596,822,619,690,687,018,918,584,112,442,047,920,876,355,370,655,560,886,
211,043,992,051,571,841,576,658,171,222,487,839,544,270,503,931,136,464,711,
576,835,981,322,279,195,800,232,582,356,435,739,381,111,333,712,385,931,301,
806,448,481,417,717,511,767,457,377,139,537,017,193,737,020,676,041,181,225,
690,051,765,237,046,054,876,830,091,347,118,816,542,540,876,636,541,404,923,
391,961,952,739,163,072,616,654,720,033,157,131,363,167,920,487,752,429,257,
845,815,149,573,881,174,549,369,180,591,799,977,925,906,651,851,042,492,752,
592,416,345,435,154,863,171,231,718,270,695,146,522,852,882,201,886,264,586,
825,469,748,330,266,201,961,652,830,219,520,379,083,587,987,930,381,160,548,
053,805,730,791,896,232,766,215,376,533,136,764,016,624,995,795,068,592,260,
753,631,926,448,113,140,767,596,585,441,490,514,615,786,131,892,589,602,041,
639,883,106,591,235,471,769,176,905,160,289,991,055,180,389,908,724,494,572,
629,965,499,443,732,705,392,356,625,554,899,033,377,519,190,942,186,019,407,
455,797,229,763,302,855,583,892,216,919,615,544,366,462,416,118,281,016,299,
624,784,823,624,191,052,203,718,215,447,442,333,414,603,574,787,927,095,955,
435,966,051,822,291,275,880,324,061,872,652,185,796,304,796,830,527,037,244,
961,406,407,333,516,743,785,215,578,398,068,075,792,990,245,792,649,065,539,
322,048,859,564,662,384,774,551,343,646,205,389,720,475,070,946,228,102,633,
324,457,246,625,056,374,273,835,766,831,343,034,836,650,609,986,551,702,441,
230,323,940,361,355,976,376,962,036,007,760,704,375,419,817,348,901,781,031,
523,646,185,526,676,390,467,367,357,756,467,856,699,571,357,157,999,981,986,
064,117,990,878,858,822,341,871,751,780,909,053,556,127,144,978,839,504,028,
843,746,965,448,909,647,995,302,187,763,818,720,295,593,788,075,967,984,700,
275,269,921,449,455,719,940,277,136,400,288,626,834,904,852,255,622,418,664,
426,145,609,358,331,274,004,287,574,649,969,221,154,488,239,965,719,745,799,
190,793,951,493,103,624,001,815,916,931,441,665,871,066,634,879,666,536,757,
416,651,121,191,384,962,914,057,363,426,959,337,111,125,461,225,918,854,494,
209,688,429,174,203,105,609,237,243,783,244,267,504,840,391,084,509,493,418,
958,409,876,647,147,168,212,213,999,771,777,442,458,599,563,265,208,547,127,
676,657,455,322,804,790,870,836,826,630,125,587,319,628,144,640,056,435,396,
825,548,587,489,938,330,181,598,019,124,228,315,580,836,793,264,079,355,898,
430,899,431,137,179,632,061,325,362,118,483,770,313,492,123,918,964,955,086,
026,849,079,049,675,414,607,972,289,713,461,103,681,419,178,446,320,254,804,
959,822,917,494,605,704,324,840,734,273,986,300,524,801,012,646,292,135,713,
376,289,361,552,863,607,869,629,224,681,187,507,660,631,304,517,015,201,473,
177,003,145,046,254,518,900,517,334,427,674,816,953,209,308,976,506,413,473,
316,784,121,977,580,880,588,635,017,607,773,491,948,063,979,902,229,667,793,
609,400,024,161,687,266,210,654,967,800,203,234,744,415,603,019,671,184,934,
589,031,394,189,610,976,045,515,935,499,772,049,934,738,492,890,507,692,135,
298,019,759,209,005,447,450,984,672,395,036,109,536,376,457,938,678,464,937,
761,427,429,962,838,820,622,083,328,680,925,017,316,927,871,705,719,671,399,
958,647,952,160,102,683,713,556,218,804,926,951,758,004,403,621,103,243,637,
485,552,924,808,039,066,378,187,353,265,181,105,333,238,136,674,438,355,513,
792,863,093,685,347,943,240,755,367,822,011,368,931,954,667,860,665,620,323,
566,465,277,063,832,952,431,373,223,885,751,511,042,395,518,799,313,583,385,
722,266,731,674,793,820,638,849,666,665,055,670,801,982,265,056,831,363,699,
193,944,945,506,949,811,265,737,074,671,006,745,339,072,137,270,718,841,217,
061,117,139,513,511,576,671,131,895,016,836,371,080,025,721,326,964,005,827,
310,765,044,076,214,845,785,632,555,432,359,240,945,540,552,675,140,384,852,
809,754,552,157,911,396,485,599,056,812,848,557,837,674,178,429,986,288,383,
133,438,905,489,507,930,885,201,972,392,781,549,035,640,473,387,873,248,795,
599,909,181,377,724,377,201,383,057,965,145,659,931,570,989,849,629,328,955,
586,497,871,896,331,118,330,550,883,433,339,501,681,215,695,552,027,473,744,
856,563,373,209,134,104,126,041,993,138,381,160,991,120,259,546,497,327,066,
141,752,543,572,818,822,076,473,306,909,824,810,927,160,815,033,080,430,475,
701,217,801,294,829,936,507,291,765,163,268,553,434,800,576,871,870,563,903,
161,680,092,191,385,813,311,268,450,203,068,245,842,229,927,089,234,843,284,
376,174,970,346,098,506,168,963,441,666,068,781,120,137,252,412,161,942,441,
840,497,532,118,530,929,548,018,926,602,414,025,720,144,429,047,323,164,567,
822,940,149,067,049,846,881,103,760,127,454,993,997,351,607,105,904,434,423,
659,881,569,918,480,650,807,347,524,545,350,755,529,325,815,160,530,128,073,
216,591,818,220,013,060,918,820,036,864,695,687,030,296,348,281,951,522,387,
980,135,044,718,248,201,939,922,844,816,138,647,329,358,730,935,909,308,949,
879,295,301,299,782,075,464,939,709,418,410,617,936,155,829,027,150,838,111,
990,999,690,269,743,554,567,371,307,812,496,181,645,191,423,349,123,628,347,
694,851,006,271,196,538,999,494,821,765,305,546,761,341,498,103,874,584,308,
552,687,046,827,779,003,336,299,062,767,264,020,771,395,311,026,948,830,286,
457,996,195,230,961,307,595,971,125,984,525,953,530,694,663,551,364,904,669,
423,965,760,233,137,524,555,358,394,100,912,379,667,849,864,088,512,489,573,
765,686,924,779,837,584,336,615,050,105,875,788,310,306,969,029,439,387,047,
960,594,839,859,609,455,932,291,529,125,738,817,278,129,426,433,067,371,917,
208,964,508,177,216,107,465,575,163,672,074,150,541,495,780,472,078,347,198,
760,937,753,100,778,484,166,360,126,250,635,206,839,785,504,046,688,159,107,
513,170,055,847,645,715,022,462,439,492,797,867,196,378,296,447,009,819,802,
421,648,301,603,543,260,214,035,118,630,911,635,226,646,847,064,078,948,831,
007,301,441,393,312,215,609,793,118,496,455,316,025,148,146,139,644,532,065,
086,469,912,638,234,502,332,175,281,498,154,599,046,281,781,737,314,899,752,
304,268,282,566,590,334,056,260,086,753,075,620,834,347,279,878,754,775,286,
900,269,491,621,631,545,719,796,100,183,450,089,468,584,011,626,304,988,200,
954,269,078,923,928,897,450,843,148,048,281,801,789,445,353,790,104,262,482,
809,347,784,886,209,127,695,506,776,339,134,750,026,152,652,678,009,338,089,
362,192,693,087,865,208,017,883,738,475,525,467,825,844,495,073,369,881,399,
710,230,477,257,727,299,346,421,777,658,334,087,140,544,712,634,789,974,568,
560,004,118,574,412,564,932,509,465,677,257,572,162,529,020,355,826,874,973,
888,901,309,616,004,548,913,447,345,861,771,676,548,911,923,892,469,387,070,
344,820,212,587,048,363,285,989,821,373,426,118,742,520,065,457,692,471,744,
069,032,242,776,014,428,566,969,278,666,190,133,227,648,284,723,099,526,345,
504,781,293,180,790,327,665,044,019,802,416,755,174,662,887,959,558,031,017,
985,683,610,222,740,206,691,638,809,727,569,191,295,699,274,519,985,442,204,
955,156,956,869,422,381,087,902,142,742,792,194,716,037,775,466,957,376,891,
058,433,445,131,805,485,579,178,265,075,232,001,172,745,537,193,946,982,170,
778,714,552,608,668,303,683,305,267,804,672,818,518,170,059,438,207,287,084,
459,299,770,616,149,096,299,721,275,514,443,826,142,063,928,896,876,697,997,
998,451,568,148,179,071,877,439,873,516,733,618,582,431,061,100,377,460,244,
229,268,343,660,217,429,388,924,131,452,809,674,525,695,640,586,579,799,728,
720,553,321,863,264,734,965,211,832,869,862,621,363,295,534,082,797,365,001,
360,132,225,298,090,160,067,612,645,072,353,409,067,279,549,407,301,353,959,
325,307,381,939,969,574,685,917,382,468,683,628,983,601,477,208,940,787,918,
010,459,614,300,937,856,763,088,560,799,762,548,578,410,942,742,608,936,160,
379,707,802,945,797,999,746,766,083,700,820,582,140,357,958,124,907,396,293,
345,646,739,572,437,811,953,902,859,426,473,616,467,600,766,103,249,443,270,
483,974,735,339,135,168,693,946,685,247,620,508,726,632,161,274,260,102,819,
643,822,379,641,925,976,120,843,145,328,398,319,701,807,972,087,016,755,867,
301,578,984,368,716,452,741,661,655,860,011,339,610,457,058,547,238,696,621,
064,107,993,536,944,204,072,040,907,965,357,273,478,904,553,750,419,530,326,
641,918,735,002,665,531,408,825,360,124,609,389,231,519,824,250,230,330,942,
325,481,025,923,499,508,288,421,131,348,875,727,679,184,608,553,990,146,179,
326,312,229,877,575,334,748,437,216,956,335,997,361,787,617,654,949,375,322,
779,609,089,167,309,622,800,632,747,536,357,977,914,371,230,539,968,879,602,
377,178,313,839,115,868,591,278,078,389,629,461,824,924,569,821,100,051,250,
080,735,583,376,097,673,139,597,312,661,426,906,494,114,161,152,550,430,388,
598,948,000,767,819,401,369,970,966,395,447,338,243,781,539,306,864,606,588,
442,560,037,324,716,946,592,156,901,158,054,693,481,070,678,904,604,487,915,
824,177,916,140,708,321,049,306,843,054,946,839,502,554,567,197,000,247,154,
885,181,220,071,802,455,606,553,126,285,551,441,896,277,425,233,225,732,856,
984,143,099,833,317,006,086,234,875,797,749,897,387,820,566,024,232,618,177,
372,709,658,351,696,076,370,096,282,593,604,857,725,756,849,411,705,610,797,
971,540,516,589,554,382,503,441,814,661,615,911,275,028,184,518,187,256,286,
409,557,069,052,807,088,814,693,768,721,933,005,423,921,410,788,031,239,072,
208,535,385,738,701,402,021,254,824,869,114,089,176,537,314,451,274,935,576,
635,377,914,689,959,072,047,840,475,414,940,649,349,082,710,445,830,115,142,
153,405,121,108,779,584,971,046,594,763,815,188,181,223,121,411,035,209,093,
241,184,901,382,532,124,294,841,303,289,011,513,995,595,138,868,316,017,927,
487,876,540,878,983,822,242,920,007,581,552,404,693,052,554,161,858,697,921,
562,644,074,277,782,119,293,114,475,422,351,869,566,708,187,690,338,474,154,
847,970,857,856,611,118,910,876,003,030,187,247,849,639,626,873,750,521,956,
843,530,346,290,121,381,322,552,962,274,076,973,280,183,282,164,308,912,336,
181,977,531,386,111,822,141,935,933,869,043,254,621,999,396,736,411,815,358,
367,755,296,604,178,952,231,444,325,054,744,433,597,091,269,576,804,854,529,
784,819,104,222,686,869,705,408,729,341,085,077,144,353,150,628,913,150,770,
479,812,090,645,433,110,201,941,211,320,901,522,426,651,446,243,076,522,598,
550,086,943,828,978,673,850,660,468,213,610,175,220,677,408,551,170,682,314,
340,133,521,524,963,332,750,849,147,930,282,696,282,043,135,082,744,549,307,
500,116,278,164,497,536,372,682,065,179,779,111,263,262,865,566,557,005,705,
637,073,500,393,610,888,272,927,756,557,707,770,666,238,450,506,554,628,518,
282,907,733,742,105,529,405,101,497,982,042,867,095,477,095,482,699,227,758,
677,447,210,226,876,663,661,598,982,508,805,474,309,840,926,655,111,422,868,
945,236,347,005,470,925,375,343,462,242,104,639,141,002,047,553,113,757,990,
300,112,152,610,512,346,520,054,353,002,279,751,801,157,145,077,718,572,077,
977,657,137,655,346,321,167,468,262,035,806,581,215,087,565,669,700,215,083,
626,200,953,748,696,970,534,487,232,497,345,627,301,277,944,484,169,377,554,
212,223,589,574,957,149,660,294,668,032,394,867,194,812,573,066,416,476,332,
899,801,859,056,403,126,624,363,411,701,951,173,689,389,717,853,259,637,040,
435,080,248,829,345,219,903,031,460,814,617,641,813,275,365,269,554,671,537,
639,641,505,180,912,212,470,705,549,810,940,206,038,057,440,583,978,693,926,
132,363,366,861,858,115,647,564,101,004,678,555,066,786,281,047,391,349,108,
511,148,854,814,403,371,234,948,789,910,972,980,935,113,417,208,230,478,114,
644,693,990,322,939,356,904,538,388,565,308,787,459,946,031,367,865,625,401,
017,381,577,506,680,721,071,393,399,670,734,099,380,297,332,871,391,739,353,
319,396,394,907,099,083,742,692,438,815,734,574,680,399,986,807,217,835,938,
185,086,789,046,333,597,448,032,746,085,516,947,266,510,503,514,204,125,971,
653,922,332,049,429,772,373,118,850,683,606,397,414,819,030,265,131,367,937,
588,871,505,342,806,082,028,338,689,171,336,926,750,642,864,411,078,121,084,
377,708,068,896,629,273,764,938,528,603,607,914,922,365,274,407,052,315,529,
186,044,784,117,537,544,871,465,965,598,618,865,151,754,213,630,653,649,035,
104,089,394,861,380,884,954,722,628,857,730,201,340,012,804,322,357,650,791,
697,312,080,098,764,923,043,199,320,477,154,056,351,382,754,424,746,848,825,
518,292,932,989,121,476,422,116,453,999,087,070,129,822,377,894,191,870,277,
412,868,248,836,673,977,207,351,580,841,913,669,071,392,845,591,410,836,244,
976,517,230,533,826,523,719,924,689,580,438,015,878,014,743,956,378,130,270,
387,549,362,745,214,265,571,108,462,455,130,141,055,487,940,039,625,179,068,
644,846,003,495,371,581,011,716,193,141,406,234,107,053,046,911,225,027,330,
640,323,488,899,503,216,013,837,395,993,347,312,910,038,000,839,433,508,369,
763,613,326,005,099,501,786,400,454,303,244,159,906,933,512,789,977,768,110,
168,521,216,783,556,573,283,893,430,012,181,231,191,665,995,776,421,853,947,
375,182,222,850,694,666,855,361,753,090,306,278,530,251,077,754,607,032,659,
765,455,508,164,398,627,537,864,661,307,945,582,749,370,426,245,492,545,217,
391,408,458,799,308,492,621,917,222,253,256,170,284,107,876,875,308,363,216,
491,589,299,878,720,795,586,043,837,305,389,533,337,970,640,503,433,214,581,
357,203,342,182,591,512,597,413,755,907,995,367,060,708,938,666,545,526,817,
243,373,665,503,761,685,183,603,203,623,880,675,487,147,123,191,742,106,506,
692,186,629,690,459,970,595,853,997,403,001,575,072,629,222,819,524,791,529,
709,927,288,344,998,507,854,651,940,967,145,092,595,467,053,933,044,995,097,
651,580,560,190,991,527,217,740,226,365,610,457,766,548,923,009,246,952,962,
832,143,415,877,268,868,258,708,176,106,860,712,120,493,566,875,728,326,964,
071,776,897,402,252,965,892,176,487,693,065,654,074,999,189,789,843,230,658,
526,282,433,762,423,064,818,861,128,151,949,828,837,349,563,752,778,310,332,
014,249,325,804,494,039,681,672,035,890,992,799,232,891,309,388,661,827,314,
535,353,486,435,675,939,761,824,343,633,431,231,892,018,447,307,244,314,732,
120,681,530,009,656,028,494,386,876,658,160,996,991,335,483,025,802,438,522,
710,635,915,962,639,669,308,570,131,634,478,273,285,305,849,205,955,387,696,
502,812,146,854,216,669,147,818,203,495,534,480,308,428,564,891,322,347,357,
555,227,359,680,098,540,287,829,451,464,292,127,204,641,703,688,016,508,965,
965,836,034,433,656,539,800,490,719,128,878,495,195,112,692,467,171,103,401,
456,424,170,186,459,647,040,810,981,256,706,977,105,892,176,108,835,826,467,
251,046,088,126,223,063,210,333,760,841,203,230,952,201,122,092,951,718,036,
255,374,257,233,721,531,893,843,358,682,878,259,300,738,174,915,368,709,389,
592,676,897,976,654,131,648,782,052,196,069,892,856,154,272,747,411,250,240,
729,210,035,277,960,575,182,100,371,062,718,595,813,226,091,089,569,056,756,
525,573,595,097,712,735,103,129,911,804,613,399,909,002,220,618,380,367,603,
529,416,332,174,408,598,822,330,566,432,343,475,754,837,990,525,530,320,840,
752,246,869,954,174,214,843,301,029,155,964,064,326,683,785,586,827,364,312,
799,411,875,874,041,493,473,653,158,402,590,521,328,586,657,815,635,485,341,
060,390,910,112,797,776,177,333,920,417,031,700,874,789,745,462,751,328,770,
376,819,132,827,121,681,990,632,428,048,428,837,059,088,135,104,979,906,983,
204,177,189,228,640,983,182,891,463,728,889,306,235,276,022,015,308,947,248,
665,860,218,121,623,040,680,964,706,862,077,390,010,966,520,115,073,134,295,
172,395,210,792,776,477,997,974,160,811,419,554,056,205,590,226,480,378,412,
298,928,053,742,346,979,937,547,502,294,181,358,239,351,178,541,694,304,574,
194,350,858,022,102,189,171,899,405,533,824,598,947,399,969,220,062,698,148,
597,431,830,869,742,702,676,084,118,998,065,287,880,854,396,540,980,938,394,
858,963,250,634,289,806,635,059,392,571,336,288,003,866,829,896,958,309,717,
392,773,389,588,570,698,232,281,553,648,426,496,045,597,090,143,700,764,018,
878,827,624,587,009,106,948,635,278,256,833,299,993,154,023,714,700,863,279,
049,491,995,885,149,347,816,741,199,701,802,203,578,509,534,608,088,833,468,
377,457,185,877,930,272,866,447,492,176,307,716,919,749,629,928,455,375,724,
826,362,517,350,236,155,044,307,282,470,867,171,253,198,857,818,386,182,269,
645,813,235,022,426,449,610,193,153,228,739,994,911,182,227,496,821,971,487,
829,370,559,718,976,765,395,937,747,471,861,320,944,336,052,057,211,144,367,
954,798,137,407,973,021,963,907,565,151,543,888,666,128,418,935,714,405,015,
409,558,479,771,489,529,245,448,222,862,787,225,611,914,596,336,185,414,266,
154,838,390,496,936,530,275,700,268,886,749,392,442,952,860,195,084,110,644,
523,110,076,648,684,224,820,440,250,341,675,041,209,827,495,666,463,952,986,
903,554,738,013,873,971,863,931,378,114,486,306,480,657,922,869,722,864,379,
695,920,013,561,736,191,166,333,650,797,711,023,975,673,978,614,144,684,959,
138,699,896,889,522,036,807,082,506,908,100,033,459,140,487,391,378,554,267,
302,091,549,796,581,568,457,036,266,352,644,158,250,416,755,779,288,887,053,
911,465,587,027,716,459,591,518,638,811,560,142,167,311,830,882,609,379,504,
134,074,258,434,653,135,305,279,316,116,852,906,272,220,018,007,708,020,036,
258,607,681,510,791,565,735,212,425,361,381,743,107,822,369,499,064,635,601,
082,454,389,515,332,272,653,746,126,728,925,737,004,541,894,106,555,159,534,
804,635,190,054,769,133,524,060,005,213,926,173,882,320,088,253,808,614,506,
236,367,552,487,037,409,629,005,225,707,357,534,788,265,415,211,667,674,081,
073,004,319,856,526,295,225,230,473,900,181,508,161,393,925,594,728,415,719,
556,864,703,677,153,936,534,876,864,273,831,539,510,056,630,571,666,506,508,
272,876,036,987,593,550,892,268,475,462,171,927,885,072,186,647,858,894,246,
596,559,850,129,561,571,787,893,502,460,668,809,970,000,155,217,369,798,045,
946,898,027,745,701,598,217,205,250,993,295,135,325,694,703,391,743,909,070,
366,854,944,367,347,925,901,394,377,896,569,122,817,032,117,575,239,258,507,
563,362,258,527,005,242,266,614,604,769,801,422,575,804,398,420,486,772,277,
288,457,056,934,489,010,577,735,500,734,763,190,993,463,720,915,718,114,029,
225,546,869,192,370,623,709,396,345,830,441,973,259,204,762,878,442,198,462,
075,928,032,205,137,327,042,339,500,215,670,126,150,482,292,052,010,603,510,
292,742,667,283,618,607,829,354,709,320,371,639,314,888,561,408,382,436,605,
427,862,271,459,288,509,132,116,700,314,810,591,655,243,335,626,294,746,667,
062,221,459,861,766,923,774,483,711,677,596,661,299,847,996,970,522,283,194,
912,602,247,716,941,438,664,505,592,268,010,244,991,813,250,238,717,563,280,
445,886,842,722,968,722,935,033,493,540,206,787,197,201,095,130,976,407,095,
770,192,119,981,261,093,703,545,737,464,471,847,605,163,976,451,881,090,454,
859,859,284,693,736,778,720,684,989,074,709,561,959,617,184,342,391,088,004,
858,649,526,021,049,430,244,411,703,604,143,208,857,022,884,198,485,686,463,
590,641,565,918,684,345,999,821,620,711,215,130,888,529,930,476,350,371,444,
076,970,079,602,140,414,193,560,675,119,410,915,614,626,574,420,823,232,508,
354,318,537,310,943,869,222,723,378,291,677,172,627,472,242,233,923,301,186,
071,854,856,264,448,483,103,107,478,718,405,178,056,606,511,922,914,364,597,
205,731,073,631,893,493,509,499,989,558,943,904,353,152,570,071,382,319,648,
984,465,384,031,411,906,895,395,494,124,808,212,403,556,042,907,644,429,527,
500,521,321,971,994,310,430,312,895,132,516,504,762,752,418,653,474,479,494,
187,863,665,284,147,645,620,746,136,547,930,500,023,619,195,778,766,306,995,
649,168,425,795,995,989,997,135,601,733,490,547,870,339,246,224,098,362,642,
770,000,633,714,833,287,522,209,301,055,473,436,412,513,615,397,811,715,809,
571,514,079,769,132,243,903,224,910,737,618,704,193,013,536,757,803,058,651,
192,034,650,699,364,859,663,116,227,918,636,399,957,368,454,024,437,223,362,
766,012,720,605,884,759,735,799,491,666,394,650,272,285,136,680,265,001,857,
370,708,416,405,786,661,088,576,917,415,032,505,622,675,944,138,898,260,050,
969,487,364,259,463,595,797,285,845,192,797,579,001,242,142,042,794,500,462,
839,001,787,416,854,293,417,776,298,514,198,945,377,885,865,719,142,988,889,
936,726,565,426,097,270,692,787,071,178,436,045,973,552,888,052,691,712,001,
373,098,794,458,927,967,272,709,062,225,754,969,930,616,717,753,136,782,212,
101,671,717,066,860,126,942,956,227,142,704,271,443,211,269,727,945,315,001,
518,736,267,730,849,564,815,839,476,821,257,497,217,296,144,966,803,046,948,
980,853,253,163,781,962,924,509,852,268,035,962,853,901,410,605,448,210,517,
645,803,910,730,339,793,510,411,225,982,078,752,898,721,491,472,500,645,652,
047,451,776,898,843,964,839,488,702,035,731,849,763,739,489,341,119,965,745,
665,198,748,308,874,314,055,001,512,453,776,022,373,734,232,256,945,948,780,
164,661,848,857,839,926,781,146,073,171,171,620,581,823,559,276,252,317,710,
895,401,736,636,485,298,894,886,903,864,009,667,781,141,727,279,424,411,212,
209,319,113,881,591,178,215,114,087,136,227,232,627,360,078,907,071,325,889,
085,505,945,742,102,057,345,563,815,920,163,478,380,552,310,331,656,028,523,
376,118,039,040,012,469,171,081,191,338,341,443,507,948,662,590,380,171,194,
038,787,239,203,976,231,258,079,062,226,224,158,088,301,869,228,137,351,722,
339,681,393,454,118,337,345,411,848,388,748,368,125,761,414,250,852,146,604,
033,948,227,268,250,388,110,093,226,737,395,717,648,063,708,390,680,247,538,
102,017,207,269,748,320,481,176,317,077,940,320,093,948,726,360,197,123,709,
251,939,628,241,018,979,090,794,482,582,169,272,197,971,876,998,133,900,332,
415,158,750,253,169,758,274,136,906,026,721,945,865,258,169,917,572,174,397,
319,616,116,134,110,737,481,601,801,343,580,251,905,620,198,229,206,718,555,
893,424,925,462,480,640,795,705,636,410,663,572,971,738,624,415,320,153,600,
421,088,088,914,073,433,867,878,062,611,306,355,576,169,942,750,854,749,241,
490,299,535,150,522,131,504,703,365,394,052,226,918,317,892,892,138,917,162,
634,959,996,919,160,949,165,866,061,136,184,303,238,151,046,114,096,453,592,
272,329,479,113,496,068,770,042,272,998,969,846,545,844,320,383,027,815,500,
181,475,513,152,027,993,794,333,709,839,469,477,954,812,616,939,795,870,887,
910,334,011,938,863,745,905,411,420,797,715,050,237,805,545,965,511,735,233,
252,110,548,578,229,411,636,188,829,921,817,609,184,310,777,357,144,611,075,
188,769,140,656,916,511,050,299,426,190,548,628,914,972,943,483,110,700,531,
554,511,278,042,771,783,954,544,491,015,004,170,299,148,007,483,883,660,122,
751,920,290,216,957,800,642,631,860,295,560,733,366,183,232,722,571,823,734,
360,576,187,751,902,907,026,029,945,003,074,152,969,499,536,543,269,753,944,
486,227,869,932,409,382,849,507,421,776,433,660,029,073,237,574,998,092,126,
895,155,454,439,981,137,457,305,822,979,416,336,671,767,372,327,267,498,884,
011,547,432,511,282,335,854,796,204,969,976,501,247,071,354,447,397,915,774,
516,887,579,534,647,351,189,139,908,567,377,223,432,969,316,177,509,161,684,
434,998,535,495,720,539,050,118,422,711,973,134,302,991,004,146,788,513,868,
928,495,133,952,009,024,769,824,348,916,433,162,056,884,767,363,289,390,766,
913,378,411,893,182,507,124,191,795,591,567,519,406,562,004,385,087,948,708,
489,975,418,597,828,260,575,594,802,430,317,771,522,989,762,473,405,082,236,
237,552,489,597,128,495,957,014,067,734,988,156,113,185,055,166,647,116,522,
480,978,516,567,000,950,807,702,168,446,918,314,970,514,508,855,006,057,024,
480,316,700,444,629,910,698,805,276,500,536,055,128,430,845,101,469,448,819,
041,962,537,976,528,882,021,369,431,738,711,519,506,497,939,246,479,473,296,
145,746,029,404,681,037,250,002,228,862,236,944,539,710,832,756,008,107,111,
015,560,051,434,369,271,304,064,669,148,871,510,285,092,603,738,621,324,487,
373,122,119,169,662,238,689,171,124,777,901,870,706,657,887,437,089,490,285,
692,550,224,287,783,021,020,408,187,497,495,331,145,460,684,638,663,385,848,
252,419,028,698,590,790,809,788,892,596,690,768,205,897,233,793,670,474,225,
881,773,501,790,796,189,587,091,391,046,551,551,230,484,760,302,288,106,399,
051,721,942,297,730,099,980,823,152,159,747,537,192,946,493,648,565,056,020,
069,412,534,091,790,302,642,667,327,515,932,942,288,312,421,868,682,533,845,
892,278,288,261,471,713,870,270,492,745,951,822,024,066,393,306,973,685,860,
604,573,430,471,638,648,755,439,554,835,824,756,501,208,410,011,730,981,529,
529,285,482,352,681,949,992,616,709,809,719,159,632,878,640,250,987,406,828,
606,834,962,668,110,998,464,317,095,660,623,176,362,919,576,508,336,461,179,
481,416,003,996,745,582,668,676,295,096,324,350,334,997,292,962,309,193,238,
931,141,081,361,419,937,534,638,346,228,226,467,654,692,195,838,160,576,723,
009,889,663,603,584,972,104,232,327,264,537,373,244,428,503,368,338,732,310,
603,021,693,089,339,385,164,667,575,767,524,676,365,634,669,825,876,117,156,
757,272,885,010,800,736,522,603,745,082,565,055,609,542,321,102,644,198,642,
701,784,161,935,974,652,836,118,706,128,823,750,646,894,386,966,730,894,287,
773,573,819,585,074,445,763,451,434,735,302,032,540,083,664,584,593,491,254,
295,691,166,824,563,769,806,618,917,320,200,923,630,942,752,904,230,891,259,
292,853,406,479,727,405,639,345,950,132,199,098,011,833,832,012,955,959,718,
311,426,813,274,282,977,088,820,994,505,137,033,675,670,320,049,718,187,924,
015,845,177,029,793,427,533,318,839,639,647,215,644,022,304,537,494,169,513,
173,230,698,295,429,299,873,456,387,493,491,019,244,034,238,762,723,944,153,
180,586,395,286,141,123,812,469,733,076,247,308,630,837,346,088,801,899,401,
886,526,226,247,345,853,044,732,217,173,877,613,422,121,305,739,310,226,280,
350,732,330,011,485,321,729,039,707,845,314,915,430,449,821,049,355,841,611,
303,853,817,269,447,990,606,067,686,514,699,290,110,683,222,132,294,132,535,
894,130,054,431,717,130,939,454,043,418,109,739,832,668,499,151,315,135,909,
012,997,126,312,582,525,091,453,789,139,455,471,914,353,013,491,642,739,378,
239,201,368,240,128,836,235,807,314,930,048,211,203,728,646,400,790,806,821,
126,150,304,231,934,720,064,250,607,423,846,837,964,338,260,012,577,884,972,
747,424,783,985,929,141,270,855,567,414,816,065,985,141,531,797,225,155,380,
283,669,297,886,504,979,909,762,961,385,442,187,645,700,448,923,042,319,377,
147,029,302,815,829,682,272,637,412,178,124,709,935,976,537,326,095,058,556,
948,003,182,235,479,824,177,706,741,413,734,803,181,910,626,658,312,488,975,
491,922,132,769,097,838,621,634,991,376,910,527,193,121,188,137,636,821,630,
244,522,673,515,281,173,923,040,756,594,187,141,681,132,443,759,732,594,724,
524,411,877,761,305,969,664,997,288,827,775,659,985,076,021,992,117,843,499,
355,778,174,350,328,680,170,225,160,219,705,247,307,563,150,691,433,839,169,
107,962,716,232,099,109,141,694,544,983,502,993,381,252,764,068,332,499,393,
304,886,796,141,279,036,398,858,253,390,803,819,104,037,334,210,598,261,552,
547,578,093,633,156,312,627,615,702,781,816,966,930,873,143,957,600,787,005,
706,325,204,778,682,199,025,078,273,874,587,892,436,901,545,461,345,821,229,
821,945,875,520,512,793,801,571,168,998,927,655,102,023,062,903,323,603,811,
868,172,964,571,318,563,623,197,333,534,048,832,513,973,071,293,879,566,519,
543,959,486,292,424,902,536,213,574,621,248,245,879,356,920,646,496,791,457,
289,789,047,948,753,030,681,718,903,768,589,053,520,001,050,549,904,302,758,
796,737,470,692,795,771,312,510,966,724,199,214,158,945,306,405,504,710,744,
740,912,509,776,813,393,756,179,819,399,631,634,814,740,909,446,381,842,167,
105,642,616,974,319,821,431,691,456,594,630,408,879,527,154,994,654,267,176,
374,918,487,018,729,204,666,973,903,346,723,963,943,214,223,345,021,762,583,
399,811,568,529,582,512,887,580,579,142,600,409,943,029,455,866,712,569,075,
980,090,509,784,638,288,594,238,100,717,129,072,130,656,580,520,956,254,689,
029,744,361,204,875,648,354,581,522,905,864,845,947,828,679,416,146,267,374,
597,215,508,459,361,540,940,990,488,331,276,286,726,318,547,505,581,222,744,
981,234,943,531,356,995,704,699,477,124,838,817,352,135,699,942,815,184,398,
529,350,063,880,532,406,096,295,133,105,232,792,325,899,546,233,145,598,793,
579,862,861,482,866,200,042,590,620,222,651,859,803,406,145,585,418,180,981,
764,713,763,294,273,624,196,759,158,746,672,774,589,890,242,587,522,352,461,
139,619,301,450,867,475,846,152,915,069,599,762,881,398,350,719,048,603,563,
457,111,602,948,923,721,697,664,163,445,195,306,829,867,586,658,230,136,456,
707,445,719,372,237,636,115,883,508,404,352,939,194,747,712,134,220,966,282,
121,868,087,149,740,163,282,313,257,127,197,645,444,293,804,031,423,854,463,
108,825,594,462,208,814,286,005,670,129,648,170,486,454,567,722,048,466,761,
046,165,967,018,897,140,652,812,076,465,689,308,801,487,206,857,580,521,814,
016,342,599,048,043,756,309,537,112,671,853,529,971,333,929,237,043,440,602,
005,518,806,885,770,157,707,570,209,258,550,095,612,094,613,761,627,635,951,
477,434,739,085,155,806,297,635,021,109,690,161,675,500,796,859,606,542,976,
924,718,377,428,585,825,957,705,421,185,482,787,624,850,216,452,301,102,190,
707,336,617,594,499,658,248,468,454,337,597,592,687,951,886,862,290,752,275,
369,986,935,444,245,290,178,332,112,014,629,282,241,793,502,021,452,026,297,
535,507,983,323,822,507,755,799,240,776,578,632,920,456,793,680,276,832,976,
690,747,689,248,995,078,170,130,335,400,330,385,977,184,503,750,136,612,570,
019,085,963,606,412,418,218,214,780,829,664,649,191,322,501,839,544,685,589,
417,749,763,778,849,045,420,488,332,722,191,928,253,515,621,204,041,844,193,
631,765,998,754,148,290,533,500,180,439,062,963,210,988,298,162,856,522,644,
564,053,212,373,772,731,158,504,832,750,152,515,054,545,422,796,426,724,797,
409,007,822,019,934,828,244,236,533,087,121,573,636,153,114,648,269,807,190,
153,643,471,008,218,379,414,698,609,102,525,389,541,202,172,858,151,576,761,
811,039,025,782,001,474,098,941,676,443,319,297,678,112,946,043,141,239,049,
222,699,245,040,541,674,848,082,261,909,003,373,396,241,827,823,881,877,768,
809,467,937,345,292,120,070,974,973,669,882,204,472,243,561,877,650,821,275,
508,610,291,152,527,111,482,755,808,753,022,590,471,744,781,000,360,018,709,
289,322,124,428,901,787,257,168,227,605,245,045,463,767,256,801,973,399,610,
293,671,896,086,411,485,571,703,831,881,057,703,371,068,142,421,981,522,154,
356,999,600,989,345,792,518,908,651,712,488,576,187,499,068,533,270,710,162,
882,683,141,792,697,096,376,247,877,597,410,643,987,614,458,519,208,335,448,
623,203,912,982,757,918,155,055,524,652,002,995,229,221,752,443,005,491,356,
053,152,012,868,224,230,045,527,721,714,497,759,976,934,391,881,243,088,705,
119,580,615,443,893,858,638,029,379,932,447,044,403,866,169,414,449,482,772,
558,200,019,716,408,659,560,446,482,173,796,940,121,671,046,545,072,264,562,
052,204,137,044,878,667,311,821,602,562,860,214,033,191,135,869,053,315,791,
153,406,253,107,496,963,972,783,352,363,405,150,768,544,013,503,017,548,954,
171,034,365,163,102,428,957,973,902,136,062,586,927,456,516,477,691,019,448,
041,733,450,396,223,822,367,358,083,850,217,383,057,683,145,467,495,672,749,
418,720,115,115,066,953,727,507,167,437,519,362,361,298,862,974,498,237,922,
343,572,980,229,958,278,789,230,958,898,417,162,707,435,573,189,716,038,408,
732,128,252,985,764,383,605,862,093,130,623,909,524,946,769,668,218,148,177,
256,043,388,619,689,406,071,819,637,541,647,642,716,146,442,461,411,154,572,
360,138,779,974,662,957,327,786,921,185,019,725,687,814,950,800,608,316,108,
286,867,101,142,929,546,820,830,740,073,834,090,004,632,634,030,069,255,116,
128,901,757,748,877,274,911,012,224,490,707,609,116,178,008,716,494,452,269,
178,197,466,675,756,465,634,109,188,259,015,577,372,315,400,957,433,458,198,
186,900,250,445,355,357,466,355,558,500,895,300,395,147,421,017,358,499,442,
781,340,977,988,119,108,500,319,646,858,969,291,047,112,710,805,758,647,975,
559,362,748,173,291,096,889,575,147,166,147,538,686,209,305,427,417,920,523,
381,679,144,113,800,119,312,610,908,666,694,326,040,560,214,219,608,406,296,
777,020,697,594,734,843,327,037,483,514,120,822,920,615,061,101,803,675,677,
440,406,692,563,148,958,806,403,208,601,706,815,803,565,227,270,696,014,506,
522,774,303,149,747,188,227,887,528,083,577,755,167,442,257,712,483,328,344,
699,109,537,629,778,391,916,467,397,355,198,860,548,499,096,789,273,790,479,
567,754,464,202,003,992,798,204,698,973,840,988,792,494,389,323,508,905,899,
537,963,968,625,303,071,853,208,817,480,921,666,092,416,685,186,016,597,593,
436,269,814,282,373,512,235,110,097,220,177,796,072,236,066,127,401,436,121,
905,625,188,756,745,640,795,937,521,519,360,759,154,960,745,987,170,413,034,
885,566,454,566,348,390,762,371,506,435,095,197,001,914,900,558,686,469,834,
931,186,341,775,428,242,472,913,398,135,231,337,978,595,621,118,902,374,682,
478,504,062,489,059,977,550,759,580,109,436,158,354,183,083,963,733,665,790,
905,957,285,421,274,846,968,888,384,427,899,669,948,434,640,752,710,190,344,
296,617,679,999,292,769,182,992,142,448,067,394,661,936,906,099,195,824,074,
756,213,487,289,020,151,214,539,988,974,959,483,221,753,272,084,170,166,050,
795,241,787,603,419,541,937,623,999,457,989,269,191,548,895,996,071,574,673,
049,284,542,420,132,553,390,508,698,227,068,245,716,703,800,051,105,103,959,
511,704,158,494,498,909,887,613,958,418,183,987,228,438,350,115,189,776,415,
552,440,522,682,065,126,702,313,059,734,059,427,253,116,595,717,065,807,192,
776,762,115,339,506,182,317,371,663,998,596,700,851,639,834,070,544,539,221,
376,317,181,420,588,149,844,837,955,437,013,924,401,552,188,408,993,154,810,
467,743,316,882,061,872,694,033,098,699,030,597,447,475,240,453,964,537,278,
680,273,020,461,831,128,876,486,729,035,901,484,603,830,843,742,833,771,378,
303,754,723,502,793,951,945,872,894,753,602,818,228,710,106,374,281,911,330,
349,883,981,393,903,655,883,292,952,637,783,403,367,770,541,742,345,172,893,
401,512,669,963,109,381,798,893,921,582,106,186,513,169,967,702,675,808,375,
914,507,118,646,924,159,918,815,407,735,621,648,804,954,296,220,940,324,423,
897,583,737,440,887,174,254,775,793,330,754,559,551,833,679,929,595,674,357,
393,560,088,156,560,133,270,446,126,284,031,955,660,968,833,446,109,973,099,
006,140,557,967,952,434,309,260,950,319,594,304,091,180,784,935,501,911,194,
080,380,912,777,536,070,765,147,083,314,767,322,502,523,145,877,659,036,645,
315,651,092,842,210,021,425,105,999,229,949,775,896,680,628,428,786,766,034,
983,928,242,977,937,658,904,662,068,933,801,758,317,663,250,947,398,825,280,
894,272,746,819,468,967,001,867,216,008,128,796,722,533,322,010,426,207,794,
885,057,016,685,164,194,935,670,694,116,159,485,337,190,570,263,736,397,792,
955,694,335,073,174,132,103,323,068,293,242,327,474,672,166,158,088,989,414,
509,487,011,310,455,201,627,174,924,581,881,998,128,780,666,329,362,884,268,
678,658,662,090,280,542,083,144,640,770,572,989,381,633,323,553,425,261,746,
807,968,511,236,498,407,018,644,317,015,017,923,799,755,193,948,043,566,370,
921,381,138,589,267,490,310,208,706,447,622,281,896,324,710,288,857,541,140,
639,272,654,544,437,184,758,678,009,053,757,097,284,793,402,437,135,711,135,
181,564,755,098,037,930,025,462,285,367,861,787,655,208,888,671,920,578,915,
441,361,777,568,333,679,473,706,112,500,959,252,488,955,130,052,016,352,623,
585,717,281,925,004,101,566,696,416,740,784,859,352,576,504,510,508,074,330,
884,220,598,416,828,653,737,753,907,477,456,576,235,956,089,228,644,957,215,
335,878,569,783,739,870,249,830,688,395,668,311,393,652,578,579,062,183,759,
796,529,884,697,386,794,217,879,536,388,339,599,407,321,387,338,220,560,531,
165,425,241,455,618,436,296,319,278,192,602,695,022,811,115,693,492,008,909,
544,987,450,647,844,160,191,295,012,667,448,570,215,076,828,493,911,241,339,
618,156,661,961,779,527,568,471,027,249,959,624,309,186,060,261,032,746,744,
739,479,707,205,380,517,477,016,599,475,994,891,136,394,641,137,620,886,039,
154,114,060,118,565,698,204,629,835,748,240,281,773,690,099,272,897,231,448,
420,585,548,780,721,998,655,513,057,141,042,884,058,929,630,612,636,885,211,
199,216,734,895,619,784,615,986,736,602,944,994,940,235,855,615,065,273,205,
093,320,448,726,191,349,554,475,396,601,057,365,992,611,886,470,702,608,461,
067,681,608,418,267,073,940,841,138,062,749,112,312,788,503,673,987,170,529,
967,443,861,148,238,544,812,359,124,691,736,707,646,946,487,627,483,435,904,
533,157,776,440,137,590,420,280,920,323,072,791,007,840,523,959,478,015,223,
069,430,881,666,005,493,690,102,949,771,143,713,441,809,315,879,458,243,340,
573,593,152,616,286,460,997,080,550,164,253,884,361,128,520,318,309,569,093,
569,524,450,109,559,259,757,822,457,412,752,630,849,686,756,901,748,422,141,
293,140,255,880,145,585,333,788,632,480,200,977,710,866,318,635,287,250,451,
145,400,923,143,850,194,856,115,438,892,589,492,718,409,333,707,724,906,997,
665,274,547,235,778,942,064,067,811,301,841,109,507,096,542,711,418,231,025,
602,780,785,776,272,290,103,766,049,594,293,815,793,519,164,883,125,989,013,
161,972,010,647,986,073,654,628,825,283,939,873,741,371,620,190,950,184,244,
092,376,429,854,413,708,517,235,112,859,149,947,350,175,991,840,804,090,120,
509,947,993,875,085,801,979,698,762,359,143,459,362,121,792,183,857,073,492,
862,441,082,877,227,733,175,891,419,869,685,201,529,308,008,654,235,523,574,
607,812,582,001,171,302,632,582,433,386,337,502,534,192,130,058,436,351,253,
404,045,624,368,258,799,197,376,406,502,499,952,037,526,406,316,012,471,463,
269,531,811,592,631,046,358,443,579,205,909,292,344,090,553,839,270,388,681,
725,960,315,866,453,277,660,109,985,171,904,462,600,388,645,791,879,230,756,
869,932,378,004,022,962,660,358,664,867,297,548,888,832,551,165,398,873,384,
328,094,917,756,646,153,688,235,481,265,020,557,393,292,900,203,139,601,960,
236,190,626,449,810,700,532,036,493,019,533,516,744,206,027,796,248,737,508,
441,750,605,371,948,316,211,816,046,818,076,829,450,335,144,067,162,795,186,
493,507,567,330,836,839,145,900,726,956,494,235,528,449,738,424,666,293,413,
174,360,358,304,959,750,009,201,470,102,944,984,923,624,227,065,646,528,355,
930,728,466,702,020,046,020,749,723,882,845,725,601,613,086,272,509,140,746,
896,530,754,708,811,075,015,225,209,979,258,744,575,923,757,906,602,773,022,
708,880,427,604,407,719,227,821,853,826,792,628,909,580,876,713,097,741,751,
680,073,286,850,796,095,727,055,322,699,026,861,748,373,277,000,510,319,942,
155,150,735,625,483,114,237,331,592,021,775,496,158,662,061,276,657,463,053,
718,401,501,603,576,010,166,254,514,661,012,893,223,909,997,119,604,162,223,
338,342,447,862,062,677,102,688,666,257,190,845,360,992,202,042,695,860,278,
229,971,987,425,402,296,970,459,026,121,123,303,066,895,537,034,199,772,958,
840,563,891,494,660,026,703,029,127,333,378,922,956,182,919,268,076,537,565,
996,786,480,605,895,256,876,304,280,012,675,123,431,807,230,448,416,567,743,
700,985,015,565,101,980,003,509,590,107,611,151,555,230,729,392,191,929,944,
981,262,225,065,441,683,323,513,295,719,229,380,050,309,886,583,424,999,560,
299,010,839,774,429,916,660,504,931,958,651,656,053,552,807,664,535,198,359,
604,960,833,742,066,830,844,929,720,690,519,675,373,744,872,357,630,269,744,
282,847,817,249,508,099,328,226,467,178,303,373,441,039,447,660,659,014,014,
612,373,418,264,568,114,585,358,875,047,395,078,792,169,476,184,481,615,656,
947,487,271,249,870,236,662,602,380,105,683,074,849,363,156,975,960,591,726,
746,657,000,604,675,511,009,460,980,198,833,199,429,263,769,405,784,544,391,
455,896,389,493,804,246,194,719,370,447,347,532,644,405,408,592,028,166,666,
580,131,171,317,027,554,775,407,577,513,630,611,995,548,889,975,775,643,397,
034,253,502,803,558,422,163,309,497,848,592,469,076,489,438,985,998,563,008,
713,202,791,042,075,209,807,701,575,735,527,471,489,097,597,698,089,719,247,
166,956,591,594,691,335,895,852,647,116,973,461,749,223,051,146,394,257,490,
554,767,509,360,249,206,969,025,611,543,679,041,503,735,047,935,866,507,935,
010,527,552,590,806,139,231,205,746,019,775,155,227,640,970,186,593,901,359,
360,546,298,184,132,993,609,510,890,871,926,529,877,816,895,724,900,777,492,
839,820,478,077,517,589,393,415,077,283,215,660,412,990,527,176,795,026,243,
688,922,718,654,676,065,731,803,816,984,583,303,601,624,403,797,494,260,970,
741,362,623,708,318,403,141,067,346,500,631,859,807,515,690,827,331,547,843,
574,845,664,722,031,109,968,650,261,307,685,563,560,243,493,492,999,419,976,
376,389,734,684,659,001,709,345,871,681,054,768,260,912,560,571,202,646,275,
399,907,605,643,437,469,339,166,278,820,620,814,726,173,409,449,076,022,989,
392,359,832,000,909,339,183,149,072,549,243,572,492,835,853,414,798,293,658,
897,762,994,691,053,971,944,871,007,402,661,855,964,550,856,239,012,343,250,
735,699,277,474,473,770,868,465,681,803,154,748,676,110,780,925,515,871,363,
258,644,148,826,360,840,059,562,721,991,796,487,513,130,456,228,491,861,140,
185,191,565,881,321,922,990,154,301,505,073,085,470,690,187,081,394,058,296,
324,795,798,046,750,542,607,744,768,111,499,776,264,173,418,218,397,629,435,
711,080,357,362,887,023,803,614,942,182,503,292,849,691,315,500,642,488,900,
673,212,853,386,491,249,345,335,131,911,102,177,397,801,375,264,577,055,121,
482,542,196,698,963,326,724,616,020,736,992,940,642,509,005,206,916,630,774,
327,322,938,312,798,628,310,396,301,485,979,216,373,098,947,334,683,075,219,
794,707,076,703,907,276,818,726,878,696,761,834,086,758,099,667,994,227,484,
748,909,256,199,940,423,263,208,482,034,219,171,866,626,727,979,596,542,105,
392,957,293,995,395,406,990,181,950,708,933,515,331,066,723,819,557,114,799,
581,843,751,049,864,907,801,191,814,889,836,476,857,590,159,512,665,032,333,
659,715,956,568,891,018,579,759,308,138,436,069,576,159,895,424,421,068,527,
960,610,496,275,078,660,028,840,694,739,970,097,574,161,720,014,754,859,078,
519,765,399,259,951,677,861,475,615,721,844,533,466,742,469,803,105,153,746,
968,517,853,797,862,378,827,917,327,429,009,537,965,329,874,685,367,101,939,
066,191,862,982,302,667,576,961,123,605,219,023,417,132,955,116,679,741,601,
062,126,485,836,470,264,030,194,244,982,064,907,237,052,575,799,835,113,900,
814,804,342,808,740,135,499,710,953,030,471,478,145,157,683,450,446,860,146,
642,994,622,796,025,920,007,214,771,874,434,436,912,207,140,827,585,349,310,
641,125,356,529,541,350,144,410,922,025,965,522,178,325,936,132,503,946,273,
737,376,004,669,293,829,723,109,050,843,063,372,223,087,204,578,904,618,780,
974,890,037,567,009,103,705,256,003,460,753,186,757,640,448,039,363,679,917,
036,240,437,636,544,466,733,713,539,552,164,137,381,323,466,488,121,826,348,
871,889,652,955,296,757,997,046,995,795,564,005,861,532,998,379,735,469,522,
834,370,774,797,453,883,496,928,809,666,642,016,212,592,149,545,291,668,589,
367,011,249,917,788,376,122,668,346,631,043,454,100,627,889,597,376,788,284,
832,490,559,082,167,167,657,235,363,931,115,404,932,745,994,869,044,217,739,
785,198,562,794,649,492,595,432,832,687,487,413,469,445,454,737,493,270,235,
855,894,224,085,867,083,974,037,475,662,370,970,374,495,464,147,030,983,423,
322,237,312,020,778,612,863,465,971,505,931,574,671,339,237,148,089,544,397,
005,958,132,696,559,441,443,238,385,484,506,629,236,954,176,606,355,213,917,
246,880,424,004,166,156,106,958,326,097,621,562,933,546,843,708,938,517,352,
587,416,670,068,640,441,920,981,935,553,195,391,878,928,103,118,716,781,412,
026,135,432,323,732,391,151,554,311,581,030,549,289,519,750,613,154,159,393,
549,599,933,028,382,035,813,766,358,545,845,362,729,114,289,145,435,543,645,
620,594,109,358,320,423,094,530,695,482,774,693,438,056,574,749,599,796,415,
280,775,601,921,681,865,067,230,877,748,018,278,113,321,389,510,880,221,434,
750,677,421,640,637,435,066,455,967,615,379,833,981,338,727,531,373,327,952,
300,239,447,665,846,043,727,191,175,383,417,612,981,543,275,157,057,982,330,
309,413,692,117,481,969,143,793,948,571,459,780,157,413,224,521,765,906,208,
801,085,899,464,697,710,197,596,788,633,401,335,935,768,141,404,565,669,207,
503,225,125,231,975,734,355,432,343,492,300,882,757,230,099,247,927,291,248,
777,195,711,600,669,122,128,236,855,911,872,434,655,027,494,032,779,252,481,
285,837,336,746,737,926,473,917,566,501,460,724,338,357,062,796,393,720,421,
440,325,326,755,824,803,263,522,565,178,191,090,775,156,690,925,661,384,284,
267,440,926,640,003,597,518,534,265,447,108,869,835,686,017,393,336,443,191,
881,906,212,723,983,852,283,383,759,055,198,707,819,918,416,492,959,214,284,
848,257,826,573,673,523,950,319,708,281,091,905,861,029,425,535,491,119,299,
995,078,612,218,677,766,200,164,201,181,710,236,496,324,437,791,241,634,408,
428,503,175,893,082,011,489,762,357,558,011,890,226,503,078,819,799,471,933,
238,064,094,385,026,951,173,155,439,902,875,869,409,189,968,754,028,144,478,
834,921,101,581,278,342,533,149,612,331,785,307,666,793,900,247,025,824,131,
264,748,505,572,573,099,412,773,542,956,337,952,897,480,816,260,427,054,209,
987,416,668,554,783,820,491,159,312,414,749,438,962,901,718,422,878,600,780,
200,792,504,678,213,375,565,160,529,029,773,736,286,129,966,215,637,308,469,
432,348,623,608,847,032,840,113,249,445,963,147,487,988,162,855,018,898,549,
973,549,899,405,105,660,229,943,568,826,079,438,533,982,080,505,752,555,165,
476,589,265,750,224,356,216,246,195,740,925,778,907,404,391,816,459,904,656,
046,912,345,662,365,404,924,563,881,251,072,943,208,085,190,504,477,648,868,
374,080,064,226,264,968,176,982,908,861,953,693,123,040,552,378,220,241,138,
967,555,720,777,226,031,743,165,847,895,619,630,271,968,530,391,324,927,216,
117,280,742,286,550,454,922,820,790,586,239,256,144,781,548,115,476,318,578,
190,193,202,662,942,405,359,030,465,044,722,378,145,791,151,132,602,005,216,
408,853,376,931,684,012,711,901,137,594,045,848,631,514,014,078,040,430,117,
418,189,741,090,856,036,707,258,667,418,932,466,529,645,148,220,739,425,362,
686,165,106,787,404,447,800,656,010,979,610,222,352,450,045,514,322,691,895,
669,548,262,460,385,583,821,754,875,444,381,707,838,583,374,574,084,730,901,
542,249,309,667,014,027,543,827,259,765,552,190,026,366,117,613,573,977,112,
523,691,177,909,330,397,447,468,464,607,429,799,765,859,742,940,575,894,549,
758,778,277,445,721,928,266,554,598,391,321,011,407,977,513,092,096,549,961,
435,674,092,030,763,307,678,335,160,562,125,984,340,823,703,264,733,754,872,
991,513,734,842,728,242,481,925,798,917,252,212,441,824,246,948,357,205,746,
977,301,954,449,866,334,918,754,844,692,891,410,315,061,977,907,602,386,627,
229,038,091,810,452,986,100,107,692,390,572,917,318,848,774,310,780,206,401,
732,262,712,901,252,070,742,932,654,788,999,093,429,501,036,491,516,283,061,
599,390,438,481,420,949,888,110,980,836,557,021,640,775,895,575,109,916,693,
545,545,867,987,740,830,098,610,120,515,058,926,419,569,972,603,041,501,005,
373,840,204,028,222,428,629,194,152,207,285,698,581,104,961,125,462,659,798,
419,937,969,307,860,190,503,379,897,761,653,280,094,280,611,152,445,969,207,
244,593,523,542,087,977,030,990,418,895,566,683,960,982,010,686,408,537,608,
392,316,566,853,442,274,115,565,841,407,608,477,507,929,700,597,051,195,206,
272,857,095,940,385,879,201,069,923,318,025,736,421,823,280,881,065,927,265,
310,285,476,601,682,024,955,197,080,063,174,259,019,513,861,197,051,257,644,
481,207,682,826,584,058,022,351,472,642,036,022,829,086,049,724,046,944,344,
594,045,177,356,882,947,487,755,401,306,003,773,177,941,171,142,500,084,845,
716,622,937,347,376,793,073,048,794,685,833,444,882,599,779,138,893,549,285,
849,753,605,506,074,710,752,543,725,291,379,388,177,035,475,442,187,789,791,
065,130,008,858,818,427,372,029,855,291,936,736,132,948,320,967,416,186,397,
735,071,121,641,537,643,905,788,689,550,126,179,455,029,674,770,099,511,440,
737,577,404,147,391,782,608,672,274,710,512,237,680,016,655,611,268,059,513,
447,274,040,465,266,421,769,061,332,899,208,094,903,438,199,009,712,401,546,
905,699,428,142,496,600,609,140,949,645,402,996,575,294,963,113,830,307,944,
178,322,987,762,980,551,729,278,297,721,616,388,355,874,492,976,726,246,791,
103,434,936,064,250,492,701,262,409,911,074,647,524,267,379,018,783,835,237,
492,832,900,452,645,699,776,288,753,048,640,203,286,164,016,586,872,269,349,
264,705,225,681,933,960,472,088,846,519,944,763,304,537,185,234,374,210,850,
120,069,926,893,587,767,425,317,613,227,027,003,285,729,318,247,944,708,405,
326,961,361,837,555,141,236,037,271,689,510,286,642,817,891,411,373,154,170,
352,388,491,230,561,804,207,417,905,554,930,214,570,098,655,403,249,185,497,
324,656,125,257,217,737,686,534,165,778,985,253,111,656,613,099,076,397,363,
483,578,041,052,169,245,627,449,188,917,448,367,150,319,841,320,152,848,812,
988,456,652,248,114,249,604,687,471,705,578,061,868,796,184,059,197,665,649,
365,854,164,772,812,399,968,366,539,801,268,129,083,784,620,550,678,380,661,
398,412,402,412,320,790,488,985,287,353,966,295,679,922,949,976,416,877,957,
723,995,296,741,606,383,290,823,731,042,198,004,720,686,805,270,529,387,711,
017,274,536,325,790,268,478,774,161,203,464,562,153,354,169,455,242,248,390,
903,266,780,692,239,391,993,308,258,386,332,912,719,068,212,203,312,639,889,
396,476,256,907,370,664,731,278,222,631,636,590,626,450,128,262,391,235,376,
283,123,706,444,766,720,043,744,123,712,411,171,652,114,615,763,851,820,970,
050,451,811,204,143,316,843,150,784,657,675,214,367,026,802,981,897,901,349,
711,313,989,204,136,693,517,942,099,862,499,313,834,330,632,927,364,936,148,
695,256,197,518,525,982,329,604,047,899,676,268,122,572,263,208,932,468,048,
133,934,435,916,808,584,695,974,066,794,636,851,371,396,648,709,572,367,163,
290,723,276,369,571,553,236,769,698,885,890,393,881,373,003,299,568,406,571,
517,554,448,521,476,954,852,656,513,336,248,563,229,594,059,222,431,434,621,
393,150,351,470,783,843,278,228,824,579,348,953,877,725,612,768,732,598,910,
420,158,792,057,869,162,920,368,660,300,392,342,681,742,760,479,731,502,129,
195,939,831,364,910,997,963,831,865,067,955,492,227,176,860,642,108,060,553,
449,324,422,964,147,771,687,545,949,885,629,891,671,713,408,811,546,954,262,
061,896,959,371,563,675,165,696,424,731,472,903,009,429,387,148,852,364,917,
496,673,917,629,764,062,839,976,936,396,610,087,448,655,604,985,554,758,465,
428,276,657,193,453,829,191,904,651,966,471,879,179,964,802,115,799,188,005,
855,988,600,836,910,773,235,283,073,713,298,982,654,945,044,597,320,297,118,
074,176,980,423,198,550,940,986,831,399,382,035,872,600,750,097,897,558,297,
006,666,513,402,415,175,875,011,612,949,749,330,726,136,018,858,417,364,823,
148,893,564,104,749,167,254,310,119,446,651,032,848,944,636,702,647,304,122,
019,593,415,447,113,723,528,572,085,657,324,089,029,494,005,062,703,966,002,
234,941,316,180,281,103,953,744,003,691,424,219,703,612,265,917,623,610,439,
757,970,648,283,871,615,086,786,202,377,256,033,246,866,407,237,509,426,763,
085,844,156,884,088,477,887,302,476,487,950,631,320,944,574,882,022,837,902,
461,583,589,048,239,755,076,045,143,798,139,528,018,723,481,328,439,219,091,
479,656,905,052,696,615,106,744,103,197,205,415,458,094,680,415,032,292,113,
475,482,283,905,818,582,089,330,248,307,261,565,048,613,307,425,575,029,624,
320,174,940,410,631,861,398,001,859,462,755,848,695,515,632,520,373,419,260,
656,064,644,402,726,657,827,257,455,073,298,136,802,822,308,542,108,802,209,
768,650,568,960,054,415,492,276,057,800,444,693,088,038,754,008,544,221,589,
185,484,992,470,774,903,105,639,986,083,122,800,925,797,140,686,712,066,214,
928,531,173,090,497,808,233,211,553,495,355,077,699,774,022,265,005,131,328,
925,132,340,613,709,614,167,084,821,567,315,250,026,371,246,690,381,714,094,
615,577,435,475,929,452,159,482,161,228,713,755,748,870,401,498,983,014,969,
220,010,125,876,920,888,950,316,075,296,594,127,123,332,330,328,027,166,739,
128,232,438,927,984,639,353,644,205,549,775,616,790,467,387,271,106,028,748,
493,203,790,515,751,170,638,897,650,758,664,420,699,121,791,115,643,233,989,
167,431,168,644,523,536,721,806,671,264,669,267,142,641,251,337,803,969,066,
964,817,756,745,328,180,221,445,560,399,936,132,435,570,280,777,866,280,581,
505,652,006,260,962,459,321,078,826,618,168,743,140,280,249,085,540,178,822,
537,712,775,433,728,495,432,921,848,583,240,612,894,156,490,523,104,151,966,
345,250,369,988,396,253,864,613,213,493,331,640,153,957,186,355,177,706,134,
127,540,544,543,939,079,043,288,145,445,786,203,206,674,058,394,000,214,297,
218,596,076,819,141,512,647,171,041,351,295,649,422,648,174,616,300,580,942,
874,434,136,048,137,565,641,940,602,603,925,073,150,460,136,524,477,920,567,
013,463,769,076,341,067,602,387,866,402,288,905,139,556,215,879,645,236,296,
406,659,002,006,650,265,504,546,148,259,114,035,640,627,366,762,239,073,314,
619,487,063,676,721,167,398,985,486,322,314,388,937,839,980,675,804,981,217,
054,101,704,131,496,786,556,564,663,418,848,035,794,396,426,296,783,033,712,
708,782,634,959,275,419,171,687,092,885,272,102,425,601,224,650,584,398,435,
783,062,925,784,279,700,298,830,073,948,725,467,452,145,119,852,229,042,555,
932,052,184,944,630,901,541,929,087,899,787,956,261,588,333,025,627,284,424,
167,940,591,372,867,491,570,556,171,035,394,150,626,431,619,911,075,530,676,
560,706,856,949,717,930,197,054,598,378,159,961,827,816,774,632,387,972,976,
606,554,603,266,460,306,458,425,395,691,083,078,392,708,106,987,009,015,581,
267,323,930,208,448,066,783,068,915,427,799,521,639,179,304,693,258,157,419,
289,073,689,347,888,519,434,409,033,924,253,687,517,988,350,504,018,252,148,
780,607,416,750,529,826,402,110,588,250,139,298,831,144,268,212,604,424,073,
292,077,435,478,378,287,848,272,991,111,864,155,116,139,496,768,121,031,775,
252,579,146,235,884,749,340,462,290,601,195,258,598,299,280,378,722,606,137,
059,259,128,883,863,164,729,977,530,376,110,268,969,606,920,295,697,888,611,
706,697,146,294,901,648,839,255,321,453,304,610,424,392,553,110,821,676,312,
502,663,941,557,878,512,879,811,124,727,642,262,598,831,554,596,221,302,888,
280,308,382,426,721,462,187,593,349,960,847,789,308,651,623,319,652,750,980,
804,304,753,459,139,159,049,483,141,970,155,661,211,219,941,731,022,828,086,
871,499,573,161,763,997,662,373,571,177,538,983,407,485,064,534,719,139,976,
553,096,516,205,742,404,503,664,805,790,583,595,706,098,388,537,057,080,717,
388,134,670,025,972,132,127,004,525,700,033,175,127,454,749,677,380,472,794,
666,184,715,592,637,895,886,926,388,637,625,220,096,302,810,991,226,717,545,
038,344,228,440,274,159,097,623,705,206,933,787,031,551,961,167,410,077,843,
896,945,592,277,023,293,795,872,659,849,215,603,055,543,827,911,245,132,224,
735,524,138,343,931,762,324,616,277,471,169,707,224,737,481,402,768,474,923,
160,606,909,467,455,625,708,252,886,941,930,327,820,401,455,132,471,569,358,
843,091,893,327,187,658,054,696,584,894,916,914,638,162,376,594,446,098,841,
948,947,065,072,964,290,126,043,731,332,637,926,479,737,318,125,584,290,542,
609,161,683,284,377,600,907,038,297,589,785,149,795,846,560,021,175,579,637,
325,490,874,095,517,956,549,760,646,499,106,068,326,413,351,017,748,827,622,
071,622,244,801,543,233,256,722,814,553,249,432,429,700,454,439,533,812,710,
080,981,691,077,017,131,821,146,870,762,029,249,794,895,711,718,684,491,199,
740,361,914,353,940,141,358,443,786,491,466,596,627,596,056,195,652,209,918,
818,822,323,005,456,215,068,277,008,596,927,795,897,621,311,410,230,613,473,
797,318,845,178,250,021,560,872,334,178,581,814,803,428,427,145,020,116,091,
293,652,339,748,182,186,105,791,813,811,565,046,473,172,201,696,021,773,998,
029,855,769,102,550,672,949,042,879,471,607,468,990,518,795,224,482,396,247,
246,175,168,004,576,418,276,395,738,479,053,889,318,436,641,340,724,720,869,
044,774,526,942,555,002,656,143,908,579,454,819,392,279,063,807,022,448,813,
474,892,857,293,693,580,797,202,369,900,511,158,087,360,904,479,269,486,444,
469,024,947,328,883,461,345,099,292,003,190,750,867,346,010,578,646,755,713,
639,082,378,970,537,216,297,757,914,870,319,654,858,668,573,863,396,861,736,
258,281,740,708,681,375,223,921,718,633,357,976,729,713,559,041,698,780,620,
975,768,915,610,293,292,252,942,051,970,975,637,921,627,556,505,928,162,329,
066,640,786,481,122,427,306,250,411,054,176,830,104,544,574,750,205,512,590,
930,988,715,386,267,594,862,752,380,686,107,388,988,611,798,387,938,539,477,
352,381,622,565,240,270,965,068,040,113,394,339,238,402,608,600,518,616,673,
615,340,017,714,983,213,777,096,000,690,862,133,146,750,694,070,714,089,555,
022,455,609,061,917,349,939,355,258,875,726,407,855,073,583,938,638,944,330,
116,568,894,112,957,587,637,032,382,540,010,142,594,295,092,761,279,288,302,
272,137,832,039,293,562,927,969,209,118,903,641,828,260,321,702,141,677,876,
388,992,003,333,707,123,812,549,422,756,845,996,782,544,326,062,443,341,564,
495,004,379,330,733,285,210,940,216,072,360,416,444,880,339,502,099,556,625,
774,337,997,573,809,673,547,650,624,693,539,216,508,369,996,113,902,747,019,
157,243,060,730,380,690,772,056,698,348,178,183,752,734,800,206,353,321,244,
018,548,527,973,815,458,450,207,578,505,712,668,991,356,782,800,212,777,742,
865,439,997,668,702,879,585,804,990,694,028,148,926,421,272,737,411,836,791,
537,528,298,127,175,735,367,697,564,356,604,295,257,547,801,116,856,495,183,
514,156,507,003,662,060,669,778,147,890,026,917,702,861,360,271,710,599,463,
883,590,751,079,046,395,518,636,878,241,956,017,033,564,237,009,093,038,137,
000,650,144,402,831,254,577,515,432,293,616,056,756,739,717,789,014,811,520,
224,886,736,237,614,153,137,204,036,478,065,652,683,690,739,443,562,494,511,
185,151,734,760,820,982,004,720,623,693,892,209,089,943,278,962,856,690,369,
612,516,981,114,467,527,880,353,049,400,859,176,100,987,930,754,464,311,292,
280,017,666,909,333,455,729,211,462,453,525,701,029,513,651,640,642,710,019,
789,464,568,842,429,684,786,694,137,778,531,532,776,492,546,954,011,795,231,
814,722,659,527,227,070,534,586,281,890,285,832,696,301,204,470,136,505,916,
028,431,785,313,631,060,614,168,717,265,321,024,665,043,470,125,140,785,622,
374,574,067,850,185,678,506,118,757,901,799,340,294,256,652,034,128,445,592,
097,399,871,773,725,191,666,972,450,675,190,538,120,665,751,260,702,958,227,
201,045,139,210,491,400,470,707,412,816,412,138,421,440,969,680,842,511,749,
398,229,079,070,647,027,122,702,839,152,026,998,524,173,802,748,883,204,351,
902,940,689,877,115,969,931,083,907,948,263,743,977,378,469,664,904,874,994,
236,388,199,651,657,060,893,858,602,697,544,230,327,635,792,223,950,622,400,
766,044,951,683,099,022,695,683,572,575,796,357,302,905,532,376,980,123,658,
677,220,274,998,390,099,928,698,368,082,075,570,844,857,210,424,537,589,850,
709,397,969,664,430,964,503,476,042,371,233,311,281,693,528,009,984,570,448,
138,939,515,802,513,086,093,635,716,200,376,919,838,987,155,454,484,400,163,
671,011,668,115,188,032,274,904,099,911,179,474,399,832,182,942,670,572,153,
458,839,986,625,526,710,058,703,495,336,656,588,829,395,501,250,577,222,940,
331,677,249,335,476,814,871,345,806,098,949,208,135,084,452,099,120,180,522,
668,638,776,966,309,479,374,399,153,573,539,461,648,721,970,047,405,713,145,
956,371,634,840,281,253,972,246,069,492,420,411,476,091,556,756,325,486,653,
528,408,453,164,896,952,686,669,052,286,514,219,677,216,796,541,776,635,182,
691,047,506,318,380,728,137,447,118,433,231,444,513,880,160,383,136,959,276,
681,216,203,019,603,178,398,357,141,426,020,616,230,135,282,026,667,094,330,
129,990,255,409,522,889,565,580,308,642,137,912,521,318,932,971,456,363,017,
629,568,840,583,636,285,872,438,436,284,588,844,563,856,133,120,673,384,706,
872,605,228,372,433,322,497,572,676,379,028,761,809,697,049,947,733,072,140,
021,476,879,085,440,530,755,338,025,291,197,181,009,597,824,814,675,233,233,
241,214,601,327,172,849,770,885,410,036,535,639,898,451,031,810,763,164,546,
064,755,293,937,665,638,507,980,968,859,425,735,158,153,241,324,032,111,486,
679,776,097,865,833,199,699,697,904,950,109,342,561,278,253,061,036,044,385,
911,475,538,087,980,285,209,543,701,175,741,301,346,802,801,455,817,614,139,
410,391,975,364,845,875,133,593,497,162,982,503,439,791,485,372,337,892,582,
401,983,816,600,188,931,944,724,485,018,944,715,057,026,336,806,935,721,123,
583,832,397,153,593,383,976,215,565,831,554,826,315,809,545,719,895,627,672,
438,401,305,229,501,969,517,255,605,193,917,764,535,339,659,883,784,417,260,
734,760,225,597,487,447,713,155,125,452,304,535,907,287,311,694,423,226,226,
321,702,460,862,805,124,295,870,801,902,230,344,739,399,176,059,174,152,477,
145,027,865,331,501,652,736,166,788,571,589,006,923,900,264,761,798,773,273,
166,339,895,965,716,685,993,205,481,151,900,759,826,601,404,707,553,169,933,
115,515,210,168,820,362,527,386,181,163,151,707,837,502,369,732,911,574,731,
519,532,938,036,393,069,515,534,452,275,240,126,465,913,651,293,747,700,816,
358,139,935,259,233,863,100,074,128,808,087,016,734,313,609,761,279,427,602,
625,375,682,696,798,764,437,536,153,732,519,430,050,724,098,148,633,835,937,
560,057,166,557,239,823,428,702,067,752,671,004,008,304,644,549,707,608,527,
280,859,806,360,888,318,361,301,936,916,992,695,856,378,027,451,843,699,545,
389,638,454,252,538,190,175,027,232,316,865,512,291,914,542,314,886,481,150,
293,433,835,984,002,117,533,863,505,899,314,185,465,059,175,020,652,716,063,
716,037,807,666,024,878,280,617,173,184,153,019,152,923,892,485,713,585,206,
799,270,615,247,515,450,623,999,225,378,409,653,139,938,443,650,657,363,033,
848,684,320,930,877,716,601,198,107,941,703,035,191,844,599,446,390,611,003,
974,540,310,913,610,013,360,169,665,021,127,694,981,313,645,172,903,970,869,
078,003,720,069,832,449,335,511,419,005,056,256,088,724,904,615,634,159,735,
580,496,875,955,131,605,429,967,945,733,858,169,241,439,115,170,221,173,111,
452,562,946,372,060,236,491,913,301,392,815,498,456,961,744,381,214,741,766,
349,320,412,854,474,598,687,674,978,627,053,087,504,420,789,384,762,796,550,
255,276,114,635,876,693,023,709,627,402,725,722,028,985,331,624,035,388,571,
566,608,058,964,683,653,222,189,615,081,299,265,938,536,230,444,794,161,328,
050,339,993,612,544,660,702,903,794,794,854,870,482,802,882,317,574,176,756,
552,342,242,028,529,483,487,273,639,062,772,645,544,703,569,228,129,814,877,
215,800,072,742,716,300,503,877,172,125,184,912,335,853,783,359,951,939,558,
493,413,356,437,946,585,800,562,951,983,773,364,283,225,942,591,322,699,925,
057,230,400,960,823,489,190,565,922,727,577,066,260,923,040,983,181,583,118,
888,509,037,237,721,038,066,227,148,834,354,693,900,854,903,280,232,898,485,
348,458,796,824,649,273,296,102,064,671,387,594,923,020,372,740,429,247,907,
130,399,357,510,756,050,433,099,336,313,273,392,764,940,730,557,897,432,355,
920,102,311,783,143,588,631,797,566,343,872,039,536,196,577,381,095,149,617,
204,926,694,836,547,454,849,842,090,740,761,441,684,145,291,849,773,760,433,
241,626,359,241,632,933,349,685,804,398,506,871,750,595,976,204,050,440,493,
144,303,952,575,319,279,917,216,375,808,430,640,872,710,798,956,905,560,034,
194,641,161,102,063,910,092,864,261,960,761,971,072,461,777,123,849,314,179,
978,046,708,073,835,272,837,170,682,238,173,459,748,061,645,158,416,736,325,
764,235,414,734,971,500,718,080,457,291,187,035,273,343,151,942,596,647,941,
747,361,009,427,798,246,641,578,420,530,009,916,004,402,150,359,564,818,077,
673,869,761,546,650,696,077,949,671,380,385,819,810,541,805,373,213,768,203,
083,950,037,546,285,678,574,700,239,657,174,228,796,805,429,093,082,615,407,
847,244,466,274,106,549,260,489,379,557,859,424,551,829,565,017,144,671,236,
818,370,407,200,120,999,550,304,279,588,498,630,090,616,700,505,915,758,378,
479,423,020,899,342,588,549,289,083,043,155,559,779,468,355,508,491,287,826,
082,550,518,566,641,476,679,146,894,687,465,924,435,989,283,131,305,378,566,
452,882,474,022,948,217,441,839,168,165,716,595,596,135,191,724,150,770,914,
058,901,485,183,952,652,438,271,498,482,404,280,782,709,213,771,203,569,960,
802,863,783,064,848,101,079,762,167,883,775,229,023,682,027,596,528,625,951,
985,614,629,413,922,365,059,313,894,057,376,949,300,286,525,368,734,706,857,
566,882,166,219,278,654,323,389,117,872,211,758,555,131,119,630,200,843,127,
959,523,220,087,632,860,107,151,974,438,379,370,990,828,661,389,184,239,918,
402,673,608,089,607,087,293,387,479,334,584,395,924,686,775,450,408,575,432,
188,541,390,255,151,713,326,070,466,656,720,241,295,620,603,180,403,724,041,
926,535,743,889,825,789,252,932,658,188,870,819,583,144,538,419,550,195,480,
738,207,150,021,621,260,242,494,333,395,689,463,085,673,416,322,641,254,177,
690,222,705,435,875,918,255,258,112,279,974,032,690,960,351,330,916,131,663,
991,462,224,802,433,915,198,094,968,617,680,242,756,518,923,914,549,821,826,
990,379,047,652,319,138,441,314,192,474,754,060,649,809,379,279,972,733,082,
617,048,392,158,601,955,770,280,468,880,382,917,849,554,019,882,110,548,645,
329,345,544,190,226,824,379,714,575,278,169,304,072,538,664,539,689,693,907,
749,646,225,796,585,062,850,638,534,201,295,023,592,288,153,679,238,780,125,
807,468,571,069,867,845,006,092,155,602,769,084,753,059,071,370,925,972,244,
166,807,707,413,697,907,484,692,870,071,622,763,195,405,409,524,990,594,669,
883,021,119,023,425,353,110,880,111,918,168,588,253,283,472,335,789,428,881,
032,125,792,119,220,112,143,469,979,086,080,205,560,914,789,334,387,362,529,
974,110,614,525,319,631,395,362,994,376,945,004,831,187,172,600,286,510,724,
284,963,126,427,759,635,865,851,863,448,762,884,644,422,695,062,701,993,389,
926,987,126,549,563,649,612,603,931,892,686,628,309,617,635,729,900,850,767,
047,666,827,140,324,411,646,721,416,290,159,304,326,635,720,012,169,550,914,
869,695,784,083,684,886,629,883,479,495,346,205,408,165,257,467,709,791,898,
595,938,626,387,840,697,681,198,561,693,592,471,935,637,964,838,767,600,962,
965,765,107,191,262,648,560,874,990,291,061,637,643,530,332,673,618,863,344,
592,633,446,079,764,086,020,777,801,841,519,598,664,247,018,862,335,123,526,
557,644,949,816,152,691,956,747,521,161,587,378,194,634,060,531,334,491,141,
851,137,430,457,486,913,891,513,626,173,611,619,665,252,529,346,052,961,063,
031,159,117,035,935,560,813,856,575,464,521,264,708,220,204,686,047,452,919,
116,134,424,932,060,033,974,939,464,032,337,321,234,816,489,417,560,268,025,
265,521,459,910,274,906,072,694,646,844,997,562,550,323,879,125,235,773,866,
045,305,070,152,390,140,959,381,210,747,736,794,206,106,527,458,383,579,109,
805,318,197,259,504,890,661,646,889,290,732,164,897,352,157,517,664,215,132,
801,509,402,891,245,388,325,143,958,734,527,757,202,087,202,326,983,049,974,
626,885,896,906,831,923,960,647,829,685,658,472,337,105,606,494,719,026,515,
303,188,120,671,699,655,053,831,588,407,280,972,688,458,371,393,997,852,152,
800,806,661,281,769,805,944,976,495,729,184,188,348,757,831,063,672,099,245,
089,169,411,584,697,990,711,234,713,737,235,290,198,863,121,195,369,025,545,
634,663,792,725,354,300,106,907,202,806,023,339,814,509,943,426,732,636,795,
955,481,135,907,982,100,935,358,798,488,484,278,261,154,965,959,537,527,913,
725,746,641,992,238,978,238,208,850,131,883,416,888,541,722,893,145,621,316,
580,269,763,363,261,249,926,850,453,925,937,234,091,621,332,381,325,272,754,
027,910,490,410,140,765,080,012,352,131,002,071,415,143,671,527,263,554,269,
259,851,203,129,699,483,203,123,056,579,586,311,875,931,592,527,774,126,786,
157,731,527,312,351,219,487,990,794,479,290,033,570,029,880,186,284,871,397,
152,283,209,083,346,575,785,279,471,711,449,099,180,709,338,628,045,257,080,
273,084,663,565,436,869,144,516,399,271,226,726,827,516,974,985,945,384,060,
110,970,951,889,470,617,440,376,735,398,326,537,650,167,338,700,853,134,337,
505,396,838,170,720,858,851,544,482,798,094,626,251,883,862,117,754,344,045,
238,373,746,446,404,181,266,684,793,839,428,496,579,447,731,756,380,001,710,
379,000,474,795,513,922,133,041,138,223,338,112,141,086,175,533,273,026,945,
563,017,664,538,994,797,495,055,392,376,752,445,077,625,021,352,530,094,435,
862,326,161,364,050,641,586,866,095,999,891,266,664,827,337,041,594,797,633,
907,918,963,426,176,462,050,044,007,273,127,631,635,298,963,235,879,445,151,
645,817,959,957,816,638,160,927,552,762,406,481,254,971,008,966,063,257,995,
390,773,177,475,999,815,689,277,665,873,514,104,901,068,146,780,000,273,331,
758,715,039,780,388,448,998,693,037,113,507,975,840,707,418,495,160,397,709,
987,633,661,192,255,167,553,399,035,872,767,650,623,153,948,964,111,449,730,
654,655,611,773,086,033,670,521,593,780,020,383,431,319,283,131,135,217,401,
890,278,449,418,064,599,318,325,185,802,182,986,551,743,010,464,146,587,787,
594,672,802,828,144,480,112,679,372,645,008,189,329,984,229,825,128,132,514,
793,405,271,216,709,560,789,345,350,529,302,759,312,579,240,710,496,719,278,
396,927,323,895,244,422,408,819,414,016,473,956,752,325,554,037,957,492,722,
309,288,901,330,665,055,702,452,203,985,252,568,316,010,367,424,691,049,173,
378,349,806,810,148,829,451,842,935,287,126,073,203,320,704,869,595,289,891,
270,316,732,139,256,251,922,813,057,897,634,184,237,274,840,342,982,435,972,
792,683,910,600,504,203,023,874,047,614,909,035,797,065,476,864,654,117,883,
073,456,302,486,919,694,199,100,683,406,044,225,602,371,924,382,773,672,741,
209,016,498,156,396,173,503,484,594,292,290,085,572,687,291,785,797,102,034,
506,681,538,588,242,266,457,023,676,217,101,087,057,514,078,348,565,539,844,
706,803,652,732,438,237,540,769,661,486,774,482,053,653,942,956,007,034,913,
661,176,011,555,913,372,424,489,160,042,236,976,299,644,330,893,278,783,168,
840,606,771,726,212,703,125,004,895,647,939,110,193,558,858,753,165,442,187,
497,661,882,563,671,413,761,337,982,554,641,477,497,771,329,976,448,171,889,
700,618,434,871,084,092,843,131,558,175,204,494,451,665,080,362,250,728,374,
290,824,557,657,985,838,232,798,105,743,192,604,709,794,026,504,481,734,801,
339,259,471,939,129,942,788,005,507,964,219,107,370,320,104,661,084,809,870,
710,401,978,560,650,806,308,411,681,438,485,953,115,996,987,469,208,478,925,
419,254,669,805,570,140,863,508,948,824,956,983,383,938,207,021,572,247,051,
534,566,629,027,458,112,998,344,187,005,746,561,552,561,092,943,253,255,000,
185,239,747,876,455,400,552,703,283,390,618,736,639,286,567,503,618,419,584,
833,590,266,558,113,970,908,986,211,648,414,646,318,912,070,819,652,394,104,
860,254,062,602,689,663,563,709,070,666,591,567,549,128,952,133,017,739,950,
840,801,357,569,201,106,003,444,087,258,456,355,575,467,098,086,523,218,425,
991,247,645,326,620,767,336,369,576,404,731,319,387,872,461,510,820,366,833,
077,152,375,922,483,031,111,859,053,246,118,434,550,763,649,712,245,121,051,
537,235,563,087,356,628,362,953,160,450,511,329,806,190,918,431,404,615,164,
263,116,721,687,773,802,762,211,485,062,009,426,913,292,543,225,894,248,794,
942,187,250,503,599,246,097,127,526,594,211,196,008,685,877,660,940,122,504,
989,907,530,209,265,315,799,360,860,557,897,860,176,849,448,447,521,555,152,
572,003,444,011,050,781,357,165,954,750,452,288,197,069,922,665,326,423,111,
653,619,089,122,772,838,261,164,131,467,204,878,390,695,192,791,808,763,532,
562,621,687,568,991,427,031,570,512,753,688,433,252,518,615,644,201,844,175,
022,868,725,750,906,023,188,379,918,677,157,351,406,486,340,143,283,217,471,
213,694,649,701,445,466,113,098,506,033,185,307,679,263,827,199,581,366,735,
005,990,746,838,489,608,276,182,089,895,480,034,217,676,657,709,035,327,215,
688,044,148,163,643,358,964,636,728,995,453,676,271,604,178,016,785,680,279,
272,439,125,618,735,463,804,388,078,427,312,344,199,452,960,778,876,017,233,
893,603,500,048,581,993,388,732,705,995,184,420,331,165,670,516,854,677,480,
575,259,246,447,782,699,709,551,739,850,028,037,262,365,941,152,772,373,706,
958,245,813,483,405,774,806,943,039,032,797,157,969,961,788,919,967,668,896,
528,990,363,395,885,076,042,211,858,880,856,188,284,685,767,029,113,144,267,
790,811,770,778,365,093,895,884,101,291,383,310,826,859,177,705,706,687,644,
446,967,773,937,921,562,946,044,544,425,136,152,874,401,305,804,037,933,477,
550,071,149,094,464,779,745,286,207,476,756,732,086,067,122,747,485,883,598,
721,323,299,168,884,629,119,726,728,400,008,389,617,741,620,356,810,542,365,
472,738,900,850,145,847,288,925,308,375,367,542,086,545,949,248,731,643,412,
336,896,405,368,123,127,317,273,844,092,539,731,885,908,662,443,970,034,450,
422,896,766,471,764,781,322,342,783,468,389,694,099,347,295,655,087,763,796,
896,331,127,076,953,188,881,932,806,490,446,755,974,788,112,258,343,911,230,
616,705,319,955,355,552,300,022,714,332,700,624,909,941,353,975,723,725,286,
330,256,477,157,270,453,253,108,019,291,536,894,775,124,177,519,321,416,856,
360,618,356,307,205,413,278,770,624,450,220,975,422,843,357,283,237,481,807,
764,257,643,801,829,718,104,402,895,757,160,554,185,959,918,034,002,680,768,
234,288,483,120,357,755,283,873,564,876,997,160,001,589,141,402,689,839,051,
904,118,670,473,116,967,677,180,972,483,029,472,223,976,633,983,632,279,740,
481,989,550,057,040,066,975,666,756,658,067,655,742,357,742,715,717,417,603,
490,141,711,031,531,227,373,639,349,937,013,966,781,709,438,630,367,982,183,
606,534,493,660,156,706,816,684,445,337,437,837,394,642,258,414,934,337,059,
992,222,326,673,398,382,974,818,524,881,995,262,305,382,175,446,892,093,376,
785,397,811,524,829,893,307,558,854,492,787,735,358,423,588,375,404,305,393,
099,755,643,280,118,223,295,118,382,400,017,871,976,743,517,350,943,430,374,
765,928,249,602,074,953,815,334,521,952,101,824,351,638,630,740,496,964,611,
483,562,412,279,283,504,241,715,945,199,013,939,393,577,612,163,595,888,782,
931,489,894,937,703,146,128,233,484,129,589,866,260,845,469,770,069,189,326,
221,806,515,617,729,696,631,976,351,748,485,022,647,247,110,029,944,641,918,
434,355,992,689,788,365,495,040,725,659,777,411,163,747,855,711,977,002,141,
127,328,521,513,039,053,734,958,701,173,354,740,097,690,118,796,715,363,876,
871,958,217,188,614,478,357,671,434,936,781,734,394,837,915,591,979,786,302,
036,361,311,048,673,654,874,225,035,424,260,168,352,120,519,594,004,044,197,
982,552,790,225,326,204,235,086,605,156,683,899,202,046,233,149,059,505,624,
952,862,083,232,870,285,195,378,160,968,028,076,217,633,293,036,135,404,036,
747,054,502,454,447,175,224,220,344,655,242,124,299,111,231,427,441,009,413,
700,360,741,120,048,783,423,954,043,097,891,489,384,017,179,789,125,633,689,
676,886,116,495,854,113,326,431,326,192,313,900,133,803,173,404,882,743,174,
846,978,180,716,067,613,106,613,624,924,474,702,261,740,864,884,271,186,811,
159,254,415,765,107,267,248,372,664,089,303,460,561,847,866,953,026,536,194,
210,919,701,802,615,767,770,557,206,434,900,329,800,339,875,264,303,265,636,
521,202,047,968,500,505,224,636,067,626,333,621,202,470,642,443,676,361,216,
243,276,109,655,410,302,297,633,726,945,044,016,020,548,619,355,552,771,434,
636,988,108,869,683,825,943,693,972,142,430,740,898,640,216,474,777,266,661,
883,985,322,149,821,410,332,688,385,292,214,460,750,342,314,837,901,397,162,
454,246,165,975,734,629,867,869,826,205,335,070,422,209,171,752,214,617,442,
040,968,935,644,643,580,790,062,657,734,760,186,804,741,555,003,930,864,211,
950,904,554,143,770,329,656,956,066,518,589,992,290,595,679,985,142,746,980,
194,967,097,637,510,954,864,343,065,642,369,828,494,651,646,814,398,237,574,
092,007,566,252,453,579,224,727,649,970,763,288,908,099,500,169,359,946,784,
355,912,655,546,615,637,442,670,381,539,221,379,234,705,320,500,259,031,772,
799,221,116,457,796,702,444,585,443,373,383,295,799,568,498,362,843,100,771,
140,649,706,482,343,862,456,801,985,794,167,772,793,564,106,731,444,269,024,
167,877,409,088,837,570,661,489,706,942,818,649,648,309,437,106,435,223,185,
968,318,585,516,138,532,226,799,877,067,397,503,814,478,368,562,913,059,751,
218,370,135,050,596,726,502,865,055,795,400,501,261,074,860,428,466,258,548,
669,165,865,154,202,057,737,883,482,583,263,898,099,331,100,806,454,071,599,
800,749,030,308,619,058,771,069,302,324,452,272,330,137,592,430,235,238,946,
231,397,754,585,764,683,683,545,268,170,437,933,764,266,512,922,254,496,881,
036,157,585,300,331,522,488,681,357,067,398,267,412,561,820,472,008,156,005,
700,320,219,763,382,977,828,399,976,944,513,294,037,080,915,536,768,658,653,
961,960,852,191,572,183,952,627,136,133,711,507,004,488,264,483,450,711,415,
194,089,040,083,410,647,478,933,834,318,371,551,764,713,237,150,907,952,460,
392,877,185,509,303,540,976,378,490,972,691,307,411,518,437,472,025,278,701,
219,832,668,688,588,089,274,467,902,262,299,599,631,822,148,873,648,231,680,
296,548,649,142,762,996,243,230,320,644,662,270,618,997,733,572,202,714,739,
574,006,063,191,815,532,661,484,150,550,674,549,409,587,792,291,326,112,724,
286,703,196,420,765,072,221,651,164,282,185,413,572,675,527,768,413,397,932,
670,199,814,584,445,074,878,959,728,530,028,314,078,922,203,606,211,309,500,
944,949,980,012,509,658,138,931,361,124,430,240,789,838,586,287,170,773,043,
383,112,074,531,027,732,825,701,739,963,537,151,042,373,726,315,362,771,217,
988,839,865,821,265,725,184,607,527,732,807,953,179,782,231,952,469,698,983,
703,581,924,967,440,530,877,435,408,518,429,694,387,468,613,657,427,895,500,
349,049,254,642,044,316,541,510,773,067,241,488,909,203,060,659,890,010,508,
806,686,211,055,948,804,773,760,482,203,907,795,536,066,900,702,531,483,087,
019,869,932,450,153,552,330,534,433,154,110,947,347,684,855,707,541,742,140,
392,713,215,949,953,658,605,149,563,059,687,241,440,487,425,808,183,566,242,
670,228,308,670,530,573,119,079,259,564,784,662,358,013,066,978,311,241,373,
686,558,106,112,538,788,467,507,508,113,532,218,977,193,712,840,812,772,323,
279,199,992,065,761,997,007,762,260,540,381,299,050,902,610,065,781,255,215,
302,350,313,759,409,777,993,780,629,272,053,626,036,429,789,867,301,278,212,
342,434,590,179,328,360,377,707,753,834,506,237,119,524,805,386,380,324,846,
485,964,299,252,434,361,256,105,061,011,463,089,567,318,232,443,714,683,146,
170,020,172,583,435,506,268,630,184,302,741,203,734,699,166,932,300,080,421,
339,174,069,866,780,854,628,003,629,023,538,477,798,533,598,906,558,834,006,
324,184,427,049,838,478,126,034,185,817,020,487,740,778,368,298,150,630,076,
961,392,585,306,817,634,583,828,408,304,521,222,598,563,555,272,737,474,925,
751,213,098,775,186,118,013,241,710,734,552,001,751,963,607,110,560,191,966,
287,972,584,358,593,796,933,373,387,147,841,511,770,473,637,197,966,446,328,
191,388,118,086,286,175,126,976,476,244,689,436,020,171,586,303,404,537,925,
193,670,351,176,404,077,059,253,760,449,256,415,971,643,457,870,366,761,533,
684,016,843,901,731,192,692,457,770,249,161,009,194,523,463,894,863,215,601,
251,552,304,195,834,937,920,635,634,951,743,020,775,898,652,927,820,684,270,
067,147,200,367,557,266,605,543,217,356,357,656,958,745,436,742,933,546,684,
970,324,685,392,392,357,634,640,066,842,306,084,285,138,373,638,279,029,597,
048,781,244,543,002,511,643,825,587,300,332,012,947,873,478,283,841,951,130,
978,652,798,579,208,412,650,032,136,768,581,553,430,414,374,544,271,440,100,
922,008,108,590,878,860,561,051,141,999,642,751,086,894,696,799,190,427,500,
624,012,275,333,941,493,372,408,975,384,672,966,142,254,723,552,718,784,737,
792,906,415,627,666,163,118,689,649,094,094,426,611,180,154,368,272,957,373,
139,746,759,955,961,221,870,900,323,872,415,827,045,837,056,945,354,151,245,
372,462,589,332,713,521,569,660,718,665,195,935,489,456,899,123,905,116,227,
064,295,152,454,520,815,667,329,669,511,306,533,358,819,802,098,846,725,403,
357,352,893,727,989,692,515,590,669,512,144,483,867,539,393,234,741,904,602,
806,916,178,797,529,319,902,628,172,843,113,225,475,575,684,347,894,410,996,
622,086,398,537,046,723,110,184,461,956,919,315,982,592,776,469,754,493,587,
094,235,378,778,617,342,575,444,764,335,726,556,857,013,070,746,880,649,589,
148,043,459,640,561,209,597,755,104,727,738,352,732,550,177,625,874,594,493,
395,856,011,949,560,763,424,012,379,053,784,762,805,912,076,793,616,226,656,
743,396,369,100,299,745,882,835,119,369,832,452,747,062,937,367,126,459,531,
280,527,667,420,709,549,192,285,290,429,138,089,484,988,757,028,811,946,292,
287,864,674,786,715,599,931,971,442,339,666,294,492,839,151,506,694,632,020,
936,576,222,610,108,455,522,249,698,151,516,984,244,367,434,671,577,069,504,
542,761,600,939,204,124,091,218,158,805,525,344,202,665,887,307,910,736,867,
845,963,892,808,185,125,617,996,271,295,233,383,647,782,381,766,492,091,602,
548,442,942,552,613,855,807,798,499,241,660,809,023,772,334,969,395,729,662,
805,188,056,213,088,485,751,479,588,787,155,651,506,450,841,221,867,841,723,
529,128,907,784,288,008,464,452,541,927,913,508,602,964,691,449,167,987,707,
806,147,856,855,978,096,161,681,753,156,251,054,880,007,803,167,775,891,031,
256,769,941,812,668,550,843,738,311,029,282,595,430,349,989,477,849,132,785,
436,613,094,874,630,373,684,490,893,332,375,109,335,190,123,156,082,280,604,
018,780,557,124,745,503,366,982,662,016,788,705,365,426,733,844,244,404,195,
166,284,948,336,596,033,354,698,602,585,522,706,640,722,957,928,250,888,397,
875,386,526,890,720,653,368,512,671,393,156,311,352,148,084,776,385,243,417,
310,590,562,953,795,594,574,680,136,214,836,831,573,657,066,668,283,714,972,
552,304,865,468,349,287,217,710,184,858,723,119,768,252,025,310,501,899,992,
443,193,066,219,569,102,414,982,875,509,289,195,384,757,369,202,287,812,383,
056,556,698,964,128,935,779,481,696,320,232,543,201,263,647,924,754,707,553,
909,814,332,947,699,613,421,156,239,552,933,712,562,210,997,189,460,077,790,
808,144,451,277,321,109,445,160,139,187,681,855,424,851,654,927,305,796,868,
185,857,163,640,460,220,727,017,173,924,073,294,314,286,746,686,336,982,826,
095,740,599,292,336,800,255,542,715,332,206,185,941,204,418,228,837,132,584,
965,815,239,352,064,221,250,334,946,292,403,414,518,022,375,592,544,463,616,
791,399,542,738,171,285,729,471,689,820,924,749,729,708,287,377,531,148,914,
829,101,640,400,651,486,960,833,474,263,038,493,156,538,126,813,110,331,536,
393,035,973,987,811,380,380,814,171,103,102,405,781,773,194,139,848,353,313,
501,198,944,759,577,272,365,833,791,912,926,105,923,040,223,036,193,660,525,
731,165,780,940,582,511,237,595,780,094,288,473,826,375,852,458,128,329,229,
032,395,626,247,786,047,524,488,991,311,552,343,386,313,145,680,766,717,595,
046,133,220,168,678,775,334,487,505,846,185,503,928,583,274,969,420,787,970,
357,848,709,353,867,239,697,585,123,577,259,296,164,547,082,560,104,417,180,
712,121,799,157,899,426,888,985,647,535,172,830,748,015,876,456,603,923,585,
687,337,480,082,564,859,407,506,023,251,474,176,211,438,511,918,488,945,694,
468,906,545,396,569,195,843,066,282,736,097,980,526,444,136,908,837,923,290,
317,522,429,758,833,367,506,496,870,287,012,282,534,335,889,990,337,089,666,
190,602,770,844,931,025,664,915,333,954,039,107,657,320,531,390,600,591,718,
317,091,639,373,453,866,593,753,510,928,405,190,087,732,673,971,068,902,491,
340,935,776,636,439,800,859,524,414,786,942,239,186,913,118,781,493,355,981,
846,693,867,764,279,843,951,689,019,796,335,170,185,166,832,441,534,015,483,
252,039,167,085,770,178,528,566,003,057,908,298,700,951,123,044,232,600,865,
624,907,429,536,946,078,095,861,477,254,715,677,517,349,752,078,968,630,636,
870,358,819,595,286,851,063,043,231,864,013,452,030,301,521,493,276,173,650,
806,597,154,340,603,226,800,395,142,637,340,926,180,464,564,772,118,337,836,
325,922,999,802,365,902,941,752,333,381,466,334,528,462,758,068,939,052,687,
709,701,479,295,474,519,688,370,127,117,164,023,900,856,920,336,613,893,973,
047,714,507,671,016,612,602,344,510,672,235,446,250,908,948,755,012,399,937,
906,976,049,515,016,892,985,594,261,560,031,349,471,597,472,391,045,145,347,
637,700,296,576,732,457,501,757,568,313,854,277,463,529,370,120,475,264,679,
727,361,066,260,772,365,742,189,354,431,292,513,144,340,248,550,200,315,796,
732,211,251,232,727,024,942,368,703,890,666,090,890,651,232,490,255,808,766,
576,979,624,816,749,916,575,666,570,268,065,322,130,032,163,208,940,658,904,
991,707,718,389,202,728,620,346,019,622,295,993,296,216,928,992,645,366,314,
795,105,188,047,587,146,741,304,897,365,115,718,996,615,057,310,389,307,137,
707,857,862,483,576,474,847,896,867,605,670,248,623,187,957,809,112,254,705,
979,927,674,298,384,832,593,768,335,045,077,403,600,059,625,688,898,338,697,
499,383,230,080,297,851,733,952,049,179,462,224,042,469,082,111,670,249,287,
500,124,814,740,733,187,602,304,390,301,627,651,068,180,846,197,571,710,607,
014,577,222,455,119,160,646,970,218,019,031,677,702,961,811,756,711,935,540,
984,842,548,093,902,153,238,861,471,626,048,781,760,621,586,554,163,842,871,
595,622,973,303,458,388,268,449,307,692,837,222,635,901,761,106,473,923,961,
047,478,479,072,711,135,109,471,402,208,764,483,578,202,345,144,310,816,561,
501,884,137,742,435,279,662,640,218,081,078,951,367,319,937,935,415,329,726,
340,396,088,572,545,358,194,776,219,108,493,249,398,445,778,180,290,433,230,
983,693,523,791,971,033,074,099,315,251,516,073,644,898,358,645,518,396,488,
736,985,350,861,409,116,175,893,280,385,655,892,664,611,567,751,445,314,233,
035,068,709,373,233,979,843,603,439,794,824,308,127,620,262,936,526,853,130,
857,494,593,660,241,441,752,037,288,217,859,287,239,287,624,931,203,646,756,
873,085,934,442,197,738,350,394,166,615,830,656,725,765,715,173,314,361,893,
520,629,574,481,597,524,366,976,652,681,815,805,507,029,081,477,918,300,256,
548,569,144,598,877,000,575,364,203,282,698,498,365,377,136,452,495,783,074,
813,863,434,681,983,909,984,999,972,197,297,411,997,919,646,036,571,433,624,
013,006,215,346,240,906,354,180,028,516,174,821,619,271,266,862,045,124,127,
530,643,537,140,420,167,419,105,080,696,591,455,037,818,557,763,273,174,891,
296,309,473,341,674,231,300,973,417,342,686,062,029,300,841,476,093,387,131,
458,399,381,982,284,409,490,086,638,542,068,960,751,266,361,605,244,994,903,
460,078,698,143,057,581,821,760,873,722,608,475,775,666,217,458,844,078,091,
552,253,780,642,182,748,158,887,119,639,425,628,877,146,255,827,651,606,933,
587,730,681,829,907,971,531,570,550,848,830,941,420,792,480,191,363,063,870,
864,777,881,950,826,134,581,185,438,219,027,792,982,325,606,084,975,090,395,
868,671,781,694,259,892,738,157,266,776,073,066,060,316,326,493,483,509,917,
353,491,858,560,098,052,939,873,587,424,445,886,812,439,749,496,776,712,254,
211,096,895,272,225,998,914,084,077,398,102,090,345,145,708,851,353,164,703,
282,785,552,264,565,752,830,766,342,141,022,580,971,543,764,160,230,944,977,
246,501,200,287,594,628,419,013,424,870,115,742,265,537,165,196,006,946,454,
801,790,851,978,970,418,134,997,532,492,741,225,292,942,422,661,774,221,108,
181,379,726,809,934,322,752,858,190,021,477,618,695,294,521,829,461,762,547,
490,050,710,711,520,660,128,717,405,145,336,750,688,576,864,461,320,256,862,
662,823,345,131,322,598,109,193,256,514,781,775,494,047,081,362,707,058,456,
712,593,801,229,667,479,450,902,579,044,763,533,183,190,110,196,311,945,527,
122,363,006,203,026,556,762,220,524,811,154,437,517,709,996,175,627,062,793,
583,506,975,643,544,553,200,155,513,859,371,544,317,558,725,773,933,540,960,
390,655,108,509,767,788,953,298,475,021,478,116,156,352,818,812,622,299,293,
851,606,386,147,894,592,327,464,642,561,401,849,014,288,036,642,233,534,564,
931,555,694,855,527,091,821,410,359,770,825,886,790,802,359,332,468,884,716,
689,204,816,201,643,237,992,878,502,697,697,544,500,729,493,717,056,765,307,
372,073,877,556,436,114,994,221,543,589,821,582,677,967,294,241,609,159,435,
495,332,781,249,192,204,924,085,520,169,279,887,555,405,972,813,992,421,641,
958,071,486,216,963,061,684,944,109,422,650,986,940,849,495,478,337,204,388,
051,106,278,279,916,385,297,836,136,775,274,821,503,630,160,985,811,832,813,
028,353,899,643,294,966,402,033,368,209,555,601,332,933,459,541,710,816,229,
741,259,241,988,832,532,821,657,659,704,892,974,109,455,286,428,013,479,313,
753,419,160,651,379,115,327,090,823,587,576,750,635,585,221,856,162,860,018,
215,700,170,016,667,790,490,061,033,541,393,230,844,374,469,855,034,357,018,
269,149,490,038,361,679,221,647,325,625,463,066,071,242,680,345,357,619,561,
268,137,700,496,785,984,455,606,676,405,642,200,421,450,706,037,718,834,692,
566,951,963,479,220,085,740,203,853,464,090,147,588,704,334,822,646,833,483,
669,252,770,425,348,399,033,146,917,433,874,703,322,405,647,661,117,740,134,
813,352,812,615,423,454,383,652,076,585,652,803,294,751,138,656,616,723,711,
624,488,280,287,159,897,360,980,627,715,214,978,097,496,816,205,445,065,286,
685,819,452,884,990,708,286,165,411,152,419,516,974,487,988,111,900,617,591,
256,329,331,936,438,782,241,882,624,518,865,333,512,248,874,793,765,233,933,
575,637,090,401,146,467,434,995,778,584,944,536,746,803,526,192,710,309,164,
965,120,385,145,080,782,972,960,290,949,635,460,785,214,714,530,043,439,016,
506,261,524,318,476,439,643,541,785,280,523,070,305,866,858,438,750,252,854,
174,977,339,351,493,948,236,784,862,030,973,201,241,254,739,622,720,600,314,
879,698,095,402,158,291,874,256,044,157,505,657,125,022,351,723,594,193,705,
742,901,807,494,447,764,632,976,036,089,971,703,038,846,637,563,125,054,290,
885,708,255,871,706,117,306,543,913,061,189,160,303,670,142,681,853,493,710,
780,835,044,864,605,169,899,816,130,329,991,097,595,936,835,388,550,429,952,
000,841,742,650,601,707,668,350,504,958,168,495,898,811,414,173,471,944,084,
849,556,879,073,363,444,773,903,145,243,916,064,532,723,558,510,472,278,715,
452,169,196,614,790,406,939,053,796,310,308,719,798,442,135,742,682,418,317,
637,089,859,729,409,404,905,850,070,431,294,469,368,170,150,796,012,355,144,
431,155,435,456,543,852,813,698,966,002,467,521,336,776,769,268,508,218,520,
103,831,696,021,614,410,366,613,922,820,245,307,293,732,346,833,745,668,920,
748,839,986,443,192,357,912,891,484,721,602,375,462,910,875,623,566,783,218,
813,594,803,383,202,022,734,927,027,836,061,788,100,689,899,622,945,269,061,
456,757,199,438,896,417,897,412,759,581,969,033,511,097,007,264,237,602,678,
151,633,885,319,587,754,296,413,190,509,539,616,827,295,263,193,407,301,064,
859,538,831,760,737,578,009,845,749,149,564,855,710,349,540,309,508,895,566,
391,300,364,105,065,195,133,865,285,993,350,088,919,589,139,181,287,218,736,
096,844,626,401,106,503,815,119,620,083,757,042,691,478,279,840,425,043,638,
725,528,230,473,346,644,013,964,540,310,745,719,252,120,494,968,805,066,277,
293,983,036,228,284,786,025,639,839,609,954,901,167,081,979,304,661,991,072,
525,509,585,188,835,098,063,419,943,730,368,781,649,798,036,272,771,383,014,
739,765,031,704,519,583,053,917,556,690,006,019,794,363,032,502,423,865,108,
395,898,138,551,467,795,478,640,646,212,164,999,551,706,441,915,881,731,036,
032,514,046,321,623,667,948,706,847,825,743,654,552,070,670,547,493,731,746,
843,189,589,227,607,435,455,216,447,643,608,703,241,420,851,102,109,864,144,
248,819,731,614,161,861,815,236,717,797,131,046,933,763,681,653,350,814,307,
856,359,240,554,562,444,813,547,893,025,289,667,951,423,705,141,071,007,507,
598,543,711,453,649,712,101,826,611,555,433,046,452,838,394,888,277,543,269,
262,075,544,123,507,930,873,254,372,915,656,917,227,724,111,048,239,755,396,
342,594,409,565,168,009,224,685,316,692,868,479,403,501,826,904,554,001,854,
022,092,360,315,102,771,826,961,094,119,296,426,943,783,173,583,132,991,956,
370,744,942,629,902,574,279,474,790,293,134,682,008,305,726,493,717,330,222,
551,418,173,555,281,907,224,527,585,418,719,054,402,340,935,011,288,910,316,
847,595,100,202,231,796,811,739,651,902,488,040,709,908,280,604,268,584,004,
686,476,237,191,270,074,957,316,900,458,391,261,379,179,507,136,878,514,535,
898,870,297,077,721,560,771,883,216,902,919,349,257,422,487,088,523,862,252,
114,868,015,969,344,721,929,537,219,552,593,359,392,223,881,423,488,965,508,
408,102,455,097,464,170,747,269,551,136,999,055,539,404,084,521,420,186,369,
158,487,568,228,270,095,593,335,778,628,421,265,429,000,162,900,435,904,245,
097,338,224,841,436,282,826,807,403,306,652,697,087,267,657,941,964,007,585,
313,934,100,270,631,916,318,166,347,266,877,542,975,028,799,794,592,240,929,
663,769,536,701,358,462,470,447,624,167,917,519,450,855,611,996,040,897,289,
711,016,552,967,518,971,190,927,689,818,417,136,727,876,438,986,901,470,852,
421,206,279,869,923,687,068,007,557,259,330,073,764,692,132,701,501,190,890,
750,297,330,993,274,809,165,095,963,653,744,211,716,604,971,105,634,565,342,
013,656,102,200,041,843,989,918,551,017,597,939,932,974,246,577,384,216,181,
075,592,818,290,244,868,838,270,078,758,514,467,508,902,276,239,238,636,826,
009,665,303,552,456,915,737,378,725,868,327,371,351,017,606,176,961,216,565,
336,602,505,066,917,438,807,289,768,382,613,021,421,786,055,790,053,218,727,
146,329,178,083,214,290,264,347,267,678,344,644,122,009,705,540,310,999,131,
840,713,500,732,257,534,937,687,217,196,558,512,762,942,877,156,422,255,492,
584,093,665,541,137,635,898,480,117,869,974,821,201,706,549,543,002,413,853,
772,615,861,348,365,248,314,391,509,321,904,831,455,954,791,098,943,942,084,
543,357,957,928,147,144,732,292,578,028,621,819,976,493,059,342,392,097,949,
980,157,658,340,883,237,372,799,912,437,922,322,930,892,786,883,868,223,418,
803,510,773,806,524,833,515,610,855,820,238,478,929,521,910,495,518,501,683,
836,930,731,752,966,462,158,066,339,524,340,225,786,615,674,182,708,329,612,
602,926,404,725,865,063,000,158,533,970,218,559,391,469,292,283,440,174,760,
896,379,845,010,948,554,332,283,145,332,217,158,850,094,185,693,269,861,750,
374,952,468,573,372,947,324,677,635,212,050,429,394,838,495,107,941,135,347,
891,289,674,752,217,225,297,621,516,777,654,391,605,829,376,065,322,751,174,
929,653,136,363,273,848,866,789,986,370,716,512,263,669,763,816,573,386,892,
284,219,314,017,384,111,053,602,342,272,300,273,444,348,936,601,815,308,590,
245,657,413,148,171,329,127,016,450,337,365,963,938,662,059,040,521,805,327,
416,103,668,630,422,640,083,730,609,090,234,541,020,388,979,005,609,083,643,
137,830,468,161,014,958,876,552,237,470,995,835,011,986,594,865,196,389,179,
513,736,608,899,586,703,350,399,419,723,706,612,643,820,599,046,897,038,946,
511,213,953,425,277,554,678,928,052,998,692,960,371,002,936,373,742,071,906,
111,386,173,999,047,862,986,550,520,385,069,778,173,093,453,198,886,887,644,
763,639,516,764,720,461,987,219,563,086,381,946,577,185,911,004,858,896,521,
673,087,816,770,590,656,788,686,699,927,616,833,276,542,584,905,429,485,109,
041,878,778,236,835,605,346,306,061,548,465,633,078,923,628,938,060,662,983,
700,048,840,595,470,691,099,403,342,469,778,835,774,381,470,580,519,103,543,
370,671,292,666,638,367,097,969,082,621,684,528,711,499,868,241,955,429,500,
562,681,949,484,137,543,865,913,649,095,110,949,930,894,952,375,676,515,279,
412,092,499,881,490,588,679,127,477,029,245,497,660,285,445,565,435,516,205,
496,503,350,728,716,153,848,728,098,417,479,429,614,905,960,939,273,729,416,
087,314,592,754,081,110,375,333,092,325,186,614,016,389,615,408,681,294,594,
893,803,845,205,084,130,855,343,689,095,450,557,962,478,943,204,632,182,554,
179,836,715,276,231,839,315,501,079,101,232,106,116,205,446,383,854,975,778,
254,684,835,109,416,669,251,205,476,945,368,960,920,646,388,323,631,486,743,
762,209,928,154,127,535,099,569,092,317,082,328,686,227,179,553,562,252,735,
905,139,457,211,652,718,864,052,154,136,719,026,464,804,495,171,958,398,095,
158,477,886,823,868,250,558,512,365,818,816,518,600,223,762,482,597,657,343,
140,336,402,704,393,322,258,164,106,062,177,871,768,194,559,818,835,197,579,
859,830,899,096,040,217,227,421,470,065,485,601,966,482,637,182,854,460,616,
720,173,675,837,387,730,113,483,388,775,285,130,978,023,717,587,726,800,150,
855,990,060,746,163,277,388,565,977,820,928,982,774,142,597,275,822,156,915,
115,267,040,643,780,160,660,210,678,848,005,646,161,077,311,588,385,559,764,
926,135,031,470,791,005,729,246,176,661,225,802,072,239,647,524,852,401,788,
307,031,209,658,907,613,940,884,727,814,238,166,089,941,945,674,021,256,923,
115,803,403,345,723,980,882,060,096,944,048,471,507,795,483,266,244,339,903,
715,327,630,828,818,388,998,804,915,470,160,857,073,393,306,303,963,511,141,
231,223,445,525,642,136,251,220,545,001,283,135,541,826,484,228,268,877,994,
507,686,372,397,113,217,187,822,485,935,658,364,527,042,173,837,191,916,551,
377,585,130,670,484,755,912,630,088,217,355,616,049,805,984,069,371,705,152,
927,705,864,544,534,999,122,929,207,067,920,437,743,595,821,626,646,864,260,
955,400,946,592,472,098,905,218,900,495,759,395,259,965,417,690,168,369,499,
589,865,499,670,755,619,919,452,585,281,994,494,180,826,051,611,194,951,936,
737,160,848,579,453,934,489,397,367,992,530,487,495,594,961,913,807,895,389,
248,178,207,207,735,808,066,789,556,135,398,035,508,306,619,056,949,491,731,
081,150,206,873,392,706,282,230,794,407,918,232,433,601,697,142,325,480,735,
654,080,351,268,186,004,316,392,128,457,867,043,589,522,453,926,353,462,223,
036,466,913,090,158,311,701,521,635,939,611,965,415,779,908,159,555,081,076,
662,932,747,809,117,120,062,679,333,419,029,336,733,984,077,353,289,223,325,
655,672,078,151,573,148,441,453,647,163,797,685,389,180,218,627,873,981,764,
321,525,415,325,162,457,744,756,697,543,257,845,302,404,113,058,917,208,455,
094,890,403,821,233,681,250,500,859,421,810,536,976,818,744,885,798,751,778,
779,444,277,361,119,191,324,329,053,635,547,894,229,319,701,416,911,118,068,
997,325,144,276,052,667,534,237,900,201,518,819,785,104,722,641,776,165,537,
887,595,106,074,322,162,346,756,047,151,882,357,346,227,628,680,934,810,571,
882,756,635,062,113,514,135,777,548,723,829,099,305,014,208,517,050,376,890,
634,950,297,361,344,153,013,472,112,735,060,725,203,638,817,696,273,266,577,
866,282,708,717,501,571,890,542,372,815,389,940,433,704,867,112,552,795,615,
142,191,633,727,493,762,360,114,441,673,991,557,391,086,069,592,172,575,008,
488,256,023,970,249,128,623,427,861,620,389,452,895,493,464,177,990,584,619,
891,285,245,513,264,933,763,455,268,401,770,317,449,857,912,264,898,835,939,
963,551,618,407,837,199,919,477,618,693,437,342,454,750,348,321,461,454,685,
970,405,343,784,685,445,407,092,940,940,704,593,397,398,400,399,802,658,758,
632,088,547,785,024,551,982,897,503,572,264,354,279,647,395,299,482,537,225,
599,892,825,647,221,109,628,380,797,467,591,371,733,650,171,233,695,453,729,
759,520,465,045,539,207,470,473,121,537,124,084,133,674,590,349,495,482,682,
500,105,840,241,548,834,819,523,680,979,072,255,842,492,747,422,531,883,077,
984,846,643,351,408,617,125,951,182,565,649,712,552,948,885,653,983,367,844,
027,250,426,247,993,014,056,521,722,981,200,122,348,588,406,647,084,055,288,
583,895,579,567,135,369,954,549,728,919,743,271,486,555,809,653,376,099,394,
419,180,528,850,480,724,461,498,376,839,559,565,314,099,381,375,103,624,754,
186,160,860,258,271,011,884,269,209,565,994,045,443,269,010,207,864,847,630,
973,537,057,636,389,680,336,500,002,067,354,945,148,335,542,094,557,234,719,
232,699,193,606,343,659,404,462,199,893,822,460,038,936,783,843,295,101,234,
108,460,445,522,049,995,882,417,398,461,134,758,037,034,598,844,212,699,491,
495,398,362,657,230,093,161,069,287,015,082,753,480,042,165,813,924,545,734,
163,697,814,836,363,487,721,906,134,061,259,599,853,691,444,982,144,463,857,
339,543,093,137,974,783,376,652,674,189,325,331,523,113,336,249,296,631,304,
122,967,556,131,062,497,752,996,729,178,584,093,455,527,603,235,354,396,859,
613,148,339,379,724,289,370,250,450,029,470,397,985,749,385,142,282,469,058,
957,219,478,915,105,821,518,653,799,022,728,870,003,290,558,838,889,237,656,
908,460,430,699,921,902,545,793,478,975,312,002,482,730,701,843,517,247,777,
770,642,820,004,752,330,230,662,514,675,855,848,294,944,074,689,013,648,937,
349,404,197,869,802,108,507,756,828,185,578,244,783,870,793,045,371,514,844,
932,352,574,170,991,981,026,082,812,320,513,631,064,368,262,497,610,012,395,
516,540,121,584,684,295,938,771,268,606,378,329,811,596,472,716,919,910,181,
677,426,681,378,609,567,600,941,829,075,129,847,004,879,061,315,631,430,978,
664,279,849,357,970,672,378,834,246,712,502,562,905,084,723,581,684,848,597,
654,602,309,933,751,282,517,076,019,081,157,370,339,986,165,243,249,975,058,
582,814,683,288,686,316,820,323,682,256,251,148,481,081,830,507,227,539,298,
959,423,213,338,174,422,784,972,972,818,646,350,314,812,411,011,972,025,477,
757,975,353,261,082,830,487,465,312,407,384,883,379,473,994,771,362,251,475,
851,673,501,116,259,112,090,747,403,823,186,601,789,981,143,311,603,462,443,
189,093,830,962,214,902,916,857,693,271,822,507,721,211,417,156,474,725,369,
896,871,280,241,183,834,536,039,387,181,662,140,446,654,865,291,549,640,073,
895,203,530,369,524,509,941,659,710,934,087,567,418,004,443,560,894,698,583,
242,375,694,885,315,543,487,096,127,678,429,798,646,522,024,928,608,486,695,
142,306,953,241,965,999,601,337,965,928,575,820,562,363,316,524,634,044,394,
114,964,227,147,126,786,258,126,623,227,731,935,942,100,536,492,160,860,468,
876,133,052,430,436,705,200,315,381,093,850,463,461,231,369,024,108,237,354,
748,010,440,455,665,043,740,603,878,980,504,982,446,177,923,613,104,095,042,
807,014,779,107,945,407,736,452,670,111,087,198,051,378,765,220,180,790,603,
822,492,713,226,873,125,583,529,468,334,410,195,162,347,746,087,266,044,181,
138,258,182,749,009,276,789,535,642,998,517,185,094,078,524,474,652,217,799,
928,777,889,606,119,402,791,783,405,670,363,272,783,439,960,759,383,821,846,
001,975,199,975,778,697,961,289,192,966,739,628,531,309,352,460,135,121,143,
752,149,702,008,461,367,178,667,677,690,175,914,116,192,298,431,044,428,462,
941,129,805,520,904,060,140,925,184,137,396,681,464,525,960,672,325,166,983,
096,417,441,181,218,595,917,725,132,955,006,249,043,020,900,967,192,974,896,
729,333,370,737,306,748,902,698,079,560,474,715,653,558,853,648,655,120,201,
184,526,269,094,517,831,490,850,764,343,210,619,125,205,706,141,693,632,020,
218,017,972,469,857,006,985,682,406,687,488,043,408,096,641,984,047,186,594,
465,771,519,489,709,129,518,999,188,507,019,011,049,141,674,585,157,786,539,
016,247,813,977,920,516,850,656,155,398,320,411,144,528,350,447,743,817,527,
117,169,307,186,580,515,573,590,721,419,119,315,357,664,994,319,828,160,019,
457,964,723,642,987,102,799,731,609,369,035,237,194,914,484,461,478,098,646,
766,415,490,124,489,541,448,254,507,774,569,567,745,530,151,577,879,111,553,
439,102,034,283,224,441,275,416,294,952,642,743,916,803,177,293,606,071,828,
099,379,761,093,527,941,065,355,022,475,062,305,778,757,050,585,228,700,169,
478,953,052,941,671,119,510,736,239,124,640,615,207,809,209,462,735,529,170,
136,551,431,823,732,794,167,359,074,019,862,054,217,233,958,172,801,230,969,
214,155,395,759,999,569,093,434,617,251,525,667,447,223,477,303,245,150,175,
916,468,354,559,572,986,529,139,043,824,454,663,635,691,139,350,442,912,914,
594,398,821,806,966,910,159,719,448,681,210,408,802,951,797,440,827,564,396,
840,862,674,979,713,129,721,798,192,336,414,977,845,396,555,626,508,072,473,
431,709,484,454,212,858,034,246,538,552,422,516,689,352,720,195,629,620,323,
155,478,876,548,021,840,779,852,764,531,369,136,465,416,580,473,027,091,110,
950,151,695,488,718,742,406,745,611,193,015,714,774,378,971,217,844,973,011,
374,049,644,028,181,200,467,761,768,645,702,380,623,894,853,969,524,621,083,
040,101,253,278,974,862,476,208,287,364,193,652,542,382,783,401,980,504,945,
614,268,620,189,645,924,937,430,207,205,725,573,576,819,789,492,435,515,457,
168,588,113,761,515,171,516,700,567,360,982,560,350,495,353,881,957,923,472,
674,511,848,563,078,267,471,215,481,340,928,966,454,759,242,122,112,098,374,
647,916,966,238,900,102,550,803,985,614,725,899,746,316,400,344,427,296,976,
657,999,065,688,224,795,987,806,546,107,023,275,445,073,115,598,986,307,770,
253,474,742,835,881,681,335,046,165,138,489,400,505,324,480,684,916,698,233,
170,158,041,751,824,158,739,199,331,419,198,794,674,930,574,624,864,551,774,
946,052,255,710,248,617,781,571,956,095,756,472,007,143,809,611,350,914,360,
985,035,627,315,384,795,746,002,503,038,619,049,861,319,012,682,140,024,714,
352,012,292,299,317,786,937,123,666,646,738,345,085,420,750,731,841,269,875,
887,772,608,274,294,796,368,880,622,364,456,926,202,240,600,429,812,680,986,
317,830,223,015,448,548,962,988,142,950,779,554,616,880,291,539,151,081,464,
668,426,321,081,067,240,907,232,607,089,376,879,461,026,543,144,740,647,723,
718,085,113,892,181,784,983,866,515,310,758,982,045,599,083,723,990,803,212,
656,374,841,369,889,069,695,868,267,131,408,626,859,484,689,081,897,552,081,
069,672,955,370,275,418,527,216,019,740,907,808,279,309,053,255,011,769,962,
795,459,946,546,426,005,048,512,011,135,986,104,273,406,646,380,058,817,210,
113,675,118,103,432,722,013,491,591,965,818,793,415,182,571,444,854,330,445,
503,289,631,452,447,483,688,732,439,366,910,583,275,102,579,256,578,382,193,
255,329,403,202,533,271,519,567,247,931,568,358,527,428,775,301,645,546,259,
883,535,910,614,235,170,430,984,840,692,002,127,978,868,515,862,710,883,402,
521,255,668,192,348,238,323,816,533,026,469,564,634,103,623,355,966,576,067,
007,915,659,384,481,685,846,677,576,738,725,071,991,904,485,911,218,917,506,
071,903,579,602,278,617,927,641,364,770,410,213,970,131,162,540,301,802,454,
195,345,611,595,378,917,560,267,559,607,314,248,612,379,438,852,434,610,196,
433,371,391,971,671,228,612,494,612,491,582,064,977,405,803,532,642,255,516,
948,132,303,855,778,990,797,333,742,793,325,764,413,755,971,610,306,402,180,
428,635,622,624,105,394,724,694,655,042,264,382,911,759,956,071,017,927,654,
696,983,912,313,665,019,397,345,303,256,061,248,963,199,619,333,409,886,640,
653,645,073,168,092,286,779,615,996,087,299,784,893,248,783,351,759,226,398,
878,718,273,762,036,847,038,654,885,328,435,349,696,434,221,953,949,283,493,
846,394,748,469,794,287,682,677,057,125,416,802,993,872,633,560,177,733,320,
341,374,732,521,190,040,623,429,663,083,989,746,608,936,640,625,234,160,738,
708,674,426,576,591,573,047,053,075,354,441,841,225,193,801,838,884,699,752,
159,967,951,093,771,532,852,204,651,815,711,641,585,753,919,663,268,020,778,
300,724,580,227,554,780,202,851,568,048,620,916,263,926,883,012,851,922,307,
837,096,365,948,778,884,845,785,750,954,653,908,838,604,444,798,235,613,992,
533,427,708,204,007,255,939,149,213,770,391,434,012,829,004,296,938,799,455,
624,487,823,154,508,178,238,761,302,651,254,145,986,389,231,589,927,372,914,
923,207,415,365,314,790,332,256,424,635,937,353,584,586,803,146,463,926,618,
324,392,050,970,780,303,335,131,217,728,698,064,871,352,464,119,628,067,791,
071,024,726,837,138,388,819,638,599,408,779,244,758,347,826,967,179,180,837,
405,071,887,856,851,826,528,633,256,261,932,899,382,971,848,712,297,274,540,
676,349,201,236,018,198,691,502,473,773,435,096,039,985,672,008,402,079,773,
248,536,486,028,381,846,876,289,229,361,764,864,500,265,611,859,634,200,507,
498,341,174,992,063,874,300,495,969,740,294,016,286,887,540,222,183,751,634,
187,259,438,376,161,094,446,885,550,664,040,284,457,446,817,449,312,029,883,
783,792,369,752,333,644,403,473,432,355,600,455,518,108,422,438,083,957,854,
884,438,508,451,747,849,229,438,657,171,993,736,371,251,167,817,706,692,664,
044,646,080,420,826,101,624,290,563,652,403,562,949,681,995,622,799,310,278,
029,767,681,600,315,694,875,793,767,273,364,544,357,225,315,844,904,096,732,
242,525,428,501,849,011,871,893,552,953,805,950,890,707,874,465,850,550,947,
932,729,265,068,016,497,594,315,553,373,663,046,246,083,832,840,943,530,132,
306,880,451,443,014,565,723,703,874,744,875,167,689,781,627,193,264,459,409,
704,055,695,196,848,006,838,580,869,361,743,598,479,243,143,916,242,929,336,
097,581,968,274,456,317,761,997,382,497,430,720,959,421,380,367,457,181,741,
393,365,611,168,150,064,001,688,428,424,851,012,087,951,871,754,435,059,137,
302,257,857,411,429,877,709,192,357,512,785,587,532,701,186,780,835,366,586,
551,942,675,543,994,816,135,995,687,323,311,778,428,754,427,580,980,030,275,
117,435,401,220,953,891,276,323,354,398,676,434,219,923,361,112,695,925,376,
008,743,311,642,757,966,863,501,287,052,407,159,393,900,501,441,220,446,711,
516,820,320,315,763,490,855,459,118,247,252,493,904,609,378,873,906,651,371,
460,115,685,241,406,247,720,593,997,346,454,251,068,360,600,855,006,594,471,
583,571,633,477,144,383,377,835,979,052,903,815,862,074,302,012,406,468,066,
555,505,168,409,303,201,771,356,035,237,529,647,894,504,467,047,064,491,013,
955,177,656,054,377,679,635,839,156,008,915,888,076,593,400,533,257,845,221,
793,879,199,268,427,411,427,664,421,247,520,975,394,376,147,777,500,967,403,
922,843,493,341,083,085,487,981,420,251,815,049,488,225,012,590,097,559,221,
618,283,711,899,958,447,197,810,409,289,535,791,602,619,776,964,502,706,759,
056,826,306,340,604,346,724,522,821,444,392,289,261,663,259,181,964,390,661,
245,891,331,043,360,179,318,341,530,817,405,174,509,828,863,939,225,803,556,
855,559,945,734,843,507,009,019,484,196,659,957,559,461,870,569,620,857,688,
821,670,433,612,818,149,659,577,325,090,037,900,539,858,010,777,828,988,696,
078,766,471,507,278,135,856,354,211,211,634,832,080,887,637,898,753,433,292,
636,933,434,057,876,095,967,853,965,238,043,930,128,103,634,444,521,937,400,
361,806,540,342,657,713,145,005,614,933,420,790,023,782,223,536,802,224,026,
062,399,671,784,937,828,745,611,113,652,860,038,325,682,004,865,926,278,167,
099,201,541,530,945,476,551,705,016,562,039,099,394,603,064,840,271,482,240,
291,809,514,170,826,417,218,879,582,909,634,389,152,467,471,633,531,801,433,
971,866,880,546,793,681,402,377,527,595,891,393,469,226,286,440,357,031,317,
776,610,461,203,670,257,437,778,682,376,552,998,251,619,755,266,815,706,907,
726,699,598,361,086,488,966,948,840,620,985,813,016,866,963,507,595,818,992,
442,144,206,343,515,342,786,928,466,385,040,051,006,130,245,847,302,434,943,
922,335,410,800,702,967,390,948,607,681,646,380,060,035,149,102,962,998,703,
187,394,072,564,627,697,922,815,989,301,483,086,681,831,712,206,079,479,767,
966,203,702,549,177,173,072,316,237,870,300,548,774,588,537,376,179,581,478,
244,054,370,185,434,243,435,592,541,070,324,895,188,007,791,975,563,204,855,
040,410,453,036,287,939,945,589,540,111,945,564,404,575,582,122,735,332,800,
951,707,958,017,386,122,781,736,360,362,566,259,437,801,243,320,355,094,625,
982,660,952,366,180,011,980,777,664,613,381,879,659,191,024,766,169,937,225,
729,312,784,986,370,635,285,626,401,962,604,417,985,004,506,384,565,808,507,
322,523,356,910,930,850,037,138,970,545,678,805,877,731,820,480,308,297,354,
299,911,694,333,907,545,369,247,150,681,829,682,912,032,026,633,492,631,913,
586,981,471,030,014,844,879,932,130,683,792,636,539,592,140,177,192,082,799,
096,282,051,173,238,280,736,533,334,402,960,134,495,690,003,366,382,202,034,
743,929,395,423,044,978,341,707,743,256,072,247,722,721,530,307,791,998,037,
223,479,775,419,851,287,574,738,195,854,098,063,052,991,573,022,110,320,639,
983,141,097,740,531,036,446,989,804,972,972,828,218,993,312,421,509,916,242,
427,640,553,826,756,241,426,536,037,884,160,253,765,474,306,677,209,310,398,
011,240,258,349,222,135,291,733,047,353,136,260,022,589,686,046,827,570,685,
696,151,319,233,382,045,235,718,499,211,045,803,092,730,074,538,518,084,444,
524,342,646,336,993,692,911,871,247,184,739,689,477,091,066,959,137,076,017,
275,521,605,550,508,132,529,125,806,199,351,571,789,104,824,317,572,301,100,
075,239,772,118,810,195,517,612,830,616,201,704,579,389,294,698,859,832,866,
877,465,261,047,597,815,164,497,846,351,078,566,185,391,091,776,284,834,140,
281,605,999,262,870,724,357,008,171,447,544,467,686,273,479,224,978,060,052,
298,129,447,639,913,556,957,516,426,880,126,040,033,778,945,515,522,817,139,
409,074,188,379,232,755,750,900,028,693,850,778,283,003,372,946,694,512,919,
298,987,747,237,304,047,673,222,145,169,326,230,829,021,422,762,836,865,659,
350,347,859,235,536,547,979,168,217,816,792,876,977,719,425,367,605,905,881,
276,569,632,013,727,143,977,778,111,589,036,978,669,875,470,431,756,249,526,
066,214,274,556,522,892,951,089,717,010,843,565,077,054,769,565,600,148,051,
153,607,372,670,198,318,760,002,251,899,985,363,004,445,617,443,654,911,124,
327,737,450,360,360,716,943,135,977,718,231,610,207,430,022,381,692,807,736,
956,569,458,692,321,912,646,470,217,080,080,176,998,806,991,006,510,697,919,
569,148,656,994,202,112,440,449,567,356,777,716,623,600,317,541,122,000,690,
024,551,925,320,223,731,698,943,127,355,195,129,829,604,314,334,191,408,078,
356,490,878,062,889,878,849,432,090,567,006,555,396,538,448,661,938,591,201,
058,739,081,645,646,793,678,583,768,562,498,412,745,586,445,338,424,167,780,
905,175,647,873,761,327,579,507,188,123,891,107,320,589,381,510,006,440,209,
009,602,943,636,800,081,262,904,627,231,133,167,337,963,887,270,400,929,059,
256,765,577,866,626,452,831,579,071,924,075,238,813,502,081,107,330,569,461,
893,857,238,153,165,726,761,818,439,425,280,586,409,798,192,342,545,568,361,
196,592,861,353,786,715,050,772,639,031,738,737,866,441,239,606,793,304,309,
300,480,081,281,857,258,475,946,590,910,920,155,468,493,899,718,717,364,366,
317,042,774,060,447,588,998,790,298,006,231,262,058,158,359,248,272,373,859,
684,689,083,518,861,658,925,299,430,361,403,621,292,903,218,859,615,886,320,
515,310,231,221,015,025,080,305,809,901,398,403,658,573,307,849,034,222,293,
459,915,556,412,721,682,100,232,568,892,870,798,350,152,990,697,706,055,957,
372,032,733,913,978,711,695,251,026,837,160,511,119,033,854,227,697,426,080,
936,943,670,771,328,804,712,060,937,174,600,357,280,904,994,031,781,948,172,
611,432,102,480,492,150,026,473,396,088,101,523,118,270,902,960,443,112,739,
326,711,966,837,695,099,273,335,610,182,002,804,725,157,290,522,257,666,694,
977,777,960,866,089,512,038,775,997,625,250,030,477,450,843,316,388,681,819,
291,654,956,214,187,939,691,914,029,162,383,391,253,570,595,592,017,091,471,
484,744,712,406,050,871,780,884,873,396,067,451,589,880,792,441,337,123,605,
931,346,781,669,666,471,945,077,578,684,479,845,508,346,690,306,240,895,501,
724,808,301,897,429,567,350,012,294,190,883,760,457,096,649,607,301,023,112,
155,556,448,085,047,619,474,149,108,479,480,813,146,592,445,702,266,925,424,
168,380,918,665,455,494,284,336,663,116,427,300,611,053,559,071,516,246,623,
686,184,336,110,973,844,994,316,057,006,852,669,770,910,882,028,586,162,492,
095,166,584,573,162,267,753,142,616,779,528,343,117,284,252,702,066,957,058,
833,498,086,349,399,527,010,385,314,215,364,715,087,109,731,451,466,596,459,
204,517,931,920,771,226,552,800,439,831,026,450,924,112,976,762,587,174,685,
109,368,175,569,511,467,021,059,390,541,981,633,183,601,699,016,131,700,890,
001,146,441,756,900,651,362,598,771,553,222,592,567,034,966,590,064,277,704,
278,820,360,538,569,026,011,039,136,864,595,901,327,592,402,704,472,155,603,
780,706,924,183,767,028,605,159,540,163,808,013,079,881,624,202,487,589,639,
255,890,460,812,939,836,226,115,345,641,163,508,212,656,792,575,022,465,432,
349,122,370,655,194,236,287,703,897,969,235,782,821,539,746,746,054,124,228,
492,575,800,813,833,564,189,571,928,631,934,101,326,739,848,515,320,824,018,
503,063,630,471,855,620,799,041,168,349,516,753,418,310,506,200,550,138,339,
996,448,511,500,702,830,587,135,518,199,878,527,772,795,757,780,738,752,223,
266,638,061,421,589,337,236,716,741,078,193,293,559,826,530,728,670,666,711,
162,873,222,393,290,061,845,298,244,374,692,133,312,866,755,040,083,368,406,
440,801,543,522,256,516,681,576,551,774,977,547,776,241,572,025,942,294,806,
494,711,253,806,317,486,104,159,027,738,439,569,979,168,637,576,789,803,446,
948,043,465,268,161,870,766,923,297,979,419,610,180,001,288,303,062,408,186,
176,092,088,377,979,934,831,429,735,688,210,284,965,183,057,605,835,860,784,
431,916,529,119,206,236,384,732,483,799,686,236,577,979,247,869,119,460,771,
486,627,364,592,371,033,743,226,418,868,017,208,213,733,128,923,743,638,387,
284,187,024,704,881,157,250,025,134,689,188,882,444,484,968,239,320,064,023,
277,783,922,431,692,448,945,932,777,696,588,439,962,167,121,382,523,276,746,
128,055,956,567,365,113,851,032,680,526,662,691,133,504,147,939,823,380,648,
990,561,299,144,828,081,890,828,001,758,513,055,908,087,831,185,314,927,436,
403,983,445,790,391,359,206,432,471,013,258,149,134,787,906,956,981,545,603,
043,098,991,041,220,880,704,133,043,906,509,136,612,682,511,937,759,216,489,
296,395,835,877,010,528,030,033,085,250,280,153,712,442,447,203,147,212,133,
966,468,313,222,065,946,132,536,805,476,925,292,294,562,174,460,897,891,343,
234,285,803,853,051,340,506,990,916,330,628,869,384,085,656,797,118,387,917,
221,134,823,406,053,662,994,327,390,866,005,939,374,341,961,446,753,472,853,
040,614,785,344,465,558,406,567,889,387,397,390,227,062,884,383,278,053,201,
494,465,204,500,232,325,830,173,864,273,536,016,985,651,168,275,335,269,010,
569,366,711,601,564,970,974,742,379,366,399,105,978,531,842,783,939,527,757,
100,094,239,147,221,846,992,009,747,815,985,408,407,154,123,258,269,033,253,
276,295,184,992,749,077,008,129,204,438,228,075,764,320,426,073,201,770,896,
867,716,971,164,287,511,543,818,481,550,534,121,854,968,051,639,937,192,484,
319,910,513,902,766,154,049,960,203,747,533,408,591,737,641,961,362,936,233,
067,536,259,599,529,058,665,161,605,463,554,436,613,056,649,586,290,483,301,
084,518,729,167,662,010,907,761,066,338,756,674,002,743,325,052,559,530,853,
355,154,924,814,966,623,100,627,106,621,971,925,228,280,091,440,119,168,726,
205,146,568,863,153,952,468,565,495,254,005,993,993,391,262,017,193,913,027,
794,903,013,573,993,332,550,761,139,827,084,416,022,500,120,826,584,630,675,
561,600,306,358,140,559,315,176,682,588,476,395,863,474,875,922,878,323,128,
871,658,860,875,970,255,212,879,484,044,546,550,534,618,629,531,368,837,956,
625,510,317,549,265,026,138,370,361,569,065,784,610,347,446,483,960,292,002,
272,094,314,861,025,560,354,804,630,206,535,621,785,171,494,918,707,980,523,
020,003,649,048,847,208,421,309,881,431,139,695,683,704,751,086,982,823,458,
106,269,139,532,048,217,919,646,705,541,227,814,530,435,340,611,218,399,186,
882,150,698,030,539,471,557,441,072,284,164,539,895,293,503,808,032,809,526,
652,654,605,985,055,081,603,245,705,055,720,649,793,300,605,160,068,704,938,
720,512,916,594,793,107,446,224,922,866,340,997,543,394,149,876,765,344,603,
247,007,211,406,428,891,157,736,902,477,690,699,649,168,240,174,284,153,315,
268,385,400,467,336,200,680,141,333,708,610,188,726,665,143,319,130,369,776,
755,459,908,053,963,227,637,981,660,307,061,072,610,580,487,802,072,807,973,
544,094,584,437,567,482,085,271,460,147,855,815,446,513,406,715,497,263,807,
314,250,697,172,852,661,854,621,002,366,657,118,373,668,021,157,375,476,521,
845,123,862,081,493,195,600,145,261,488,917,264,017,799,049,076,794,178,071,
922,089,661,365,207,255,028,578,259,733,409,937,751,194,656,985,080,778,835,
173,909,675,650,515,615,043,604,756,854,793,037,787,468,234,834,810,412,499,
643,076,059,969,059,134,398,658,307,788,557,432,528,687,370,148,236,028,395,
458,022,949,888,665,628,527,523,290,142,526,542,817,694,179,850,337,355,557,
269,356,136,399,032,890,449,518,307,057,433,754,153,553,331,233,966,727,033,
621,306,882,988,951,228,559,357,162,084,126,205,451,104,948,703,957,227,400,
663,452,871,025,772,255,263,425,904,990,483,390,604,653,482,265,276,423,735,
779,965,713,942,778,633,357,200,357,940,008,214,731,774,795,997,325,073,701,
443,594,961,673,112,717,998,008,070,880,319,347,430,723,801,240,483,178,387,
329,775,058,064,468,814,863,924,052,853,616,594,373,004,452,809,860,937,828,
493,830,470,400,004,240,467,071,938,208,296,296,434,620,929,965,379,770,256,
554,495,545,023,945,544,003,199,695,648,010,658,059,983,666,049,272,378,108,
178,894,859,696,513,664,224,827,106,690,646,196,256,094,590,302,856,878,942,
568,207,431,298,522,463,088,856,826,701,920,202,827,485,172,389,420,580,827,
551,568,837,243,384,845,315,541,260,312,348,015,286,053,432,755,567,315,819,
286,052,134,490,229,086,479,687,986,488,885,025,103,597,341,491,013,589,873,
788,930,372,399,277,437,374,142,267,795,438,935,977,493,853,215,031,242,075,
066,310,534,561,333,725,483,002,684,734,397,652,213,376,475,362,224,262,626,
871,553,537,845,739,427,238,263,635,289,656,673,734,838,268,537,252,703,413,
737,266,255,192,484,107,290,954,974,806,562,914,441,714,235,409,259,526,021,
910,496,197,526,496,731,519,541,486,609,560,216,343,089,015,867,118,828,297,
742,583,656,216,042,066,019,470,022,594,957,798,601,625,024,254,570,618,424,
736,608,752,878,238,702,385,449,986,590,127,435,644,121,556,803,160,111,641,
352,022,161,633,246,810,741,649,277,242,690,941,914,774,554,291,109,123,073,
296,384,751,862,364,916,667,288,266,541,706,753,916,683,672,214,196,433,503,
049,668,541,810,785,785,979,513,728,266,855,756,614,798,927,830,195,973,383,
268,162,334,599,433,762,896,696,165,748,647,530,791,952,612,334,980,865,789,
423,923,439,575,688,067,066,974,970,143,624,020,426,934,205,677,231,416,291,
239,355,478,545,643,026,276,573,054,942,298,736,002,057,805,579,261,127,654,
666,264,834,463,965,056,510,180,857,753,443,181,070,059,721,233,935,908,856,
939,148,955,730,829,134,438,327,741,983,963,524,143,763,169,731,072,276,050,
441,990,561,894,904,007,140,805,696,817,415,019,743,809,148,569,807,025,782,
435,019,974,428,644,316,276,558,004,992,155,097,728,343,300,287,093,389,781,
017,461,934,893,204,285,500,074,775,689,896,281,093,512,361,380,165,515,687,
045,627,954,896,270,923,755,494,811,111,436,738,427,645,257,063,336,490,621,
105,666,207,651,497,592,509,845,308,413,300,914,420,433,385,710,270,018,338,
694,507,446,837,251,463,696,045,015,572,152,753,148,803,019,930,966,737,037,
559,774,094,249,045,796,207,037,693,305,472,343,605,652,907,438,244,876,185,
081,983,181,093,662,769,545,504,169,561,030,069,425,905,752,048,483,942,365,
271,268,240,259,888,685,198,606,211,715,781,786,313,432,825,096,389,384,531,
750,695,969,521,609,155,571,237,710,271,250,117,004,668,364,188,865,422,882,
286,258,913,442,393,172,860,955,428,194,338,627,261,462,468,165,102,213,997,
589,540,174,134,912,028,136,702,032,570,752,764,014,046,088,283,104,927,414,
437,553,492,197,556,189,724,470,753,621,465,095,671,509,701,481,834,432,667,
243,983,897,243,500,205,757,312,728,694,080,359,535,153,948,488,818,361,143,
933,109,956,143,138,120,143,411,166,935,585,246,236,300,237,569,657,758,649,
788,269,516,309,916,881,494,212,086,543,204,905,529,861,468,810,400,750,920,
793,883,681,198,163,335,243,351,347,416,571,032,797,773,328,463,053,706,286,
227,184,114,022,781,121,697,613,928,981,630,807,083,703,203,167,210,902,278,
902,137,805,319,627,093,334,840,524,541,633,557,244,345,814,660,385,417,015,
216,794,307,976,258,050,029,224,500,296,475,740,535,641,560,171,106,222,673,
679,459,175,285,925,940,012,335,181,369,408,138,135,132,837,930,885,215,503,
274,234,136,331,981,817,675,338,372,150,484,862,417,335,261,149,656,891,269,
405,482,135,702,822,031,236,364,533,428,332,541,086,177,140,171,393,948,379,
111,467,334,525,032,318,688,731,568,345,081,752,369,712,011,339,189,587,148,
134,395,592,619,440,459,736,671,135,094,112,255,599,511,037,136,405,729,297,
156,111,422,917,266,208,078,309,718,569,536,134,348,272,417,008,229,596,226,
258,697,362,004,366,389,035,940,472,940,767,334,286,584,024,649,175,929,699,
525,056,761,094,762,048,017,008,301,678,827,566,033,535,125,053,458,345,773,
626,614,961,088,170,335,129,196,432,962,666,085,162,586,242,018,611,670,863,
707,741,426,387,959,084,445,272,469,139,915,278,749,893,322,383,126,197,029,
257,959,967,631,028,943,254,643,531,635,742,366,924,019,742,728,452,054,479,
223,857,440,843,129,363,151,368,617,266,969,611,335,588,166,240,066,892,952,
749,829,586,800,023,621,418,392,981,270,461,386,090,937,327,290,174,937,184,
658,825,705,916,273,862,453,851,408,085,034,838,623,937,621,754,558,199,046,
878,692,181,172,399,757,001,005,122,984,456,173,693,195,530,411,790,991,006,
030,224,019,181,449,693,722,685,020,111,282,283,829,138,835,145,264,457,708,
473,053,986,936,733,972,263,868,503,839,841,124,346,689,367,710,192,152,852,
788,960,970,791,126,410,848,490,468,422,430,738,852,601,992,077,199,818,741,
179,168,391,907,198,971,570,791,576,781,578,504,643,457,755,729,823,274,159,
946,526,909,260,638,088,799,511,718,059,585,463,136,471,040,574,095,850,023,
079,070,764,493,051,565,597,811,098,555,940,459,696,495,010,054,651,549,202,
766,191,975,559,949,554,274,679,343,565,797,741,006,340,226,605,835,246,842,
073,519,075,712,294,116,556,657,012,222,845,838,087,314,748,197,137,450,450,
635,793,133,069,023,360,316,961,724,827,617,538,959,573,129,172,821,266,850,
197,640,219,147,745,855,673,941,888,740,448,705,300,090,860,443,536,983,822,
951,915,162,260,854,789,264,495,180,879,881,914,953,610,106,500,547,252,758,
443,055,127,392,484,253,887,396,351,352,806,888,711,339,774,590,278,647,909,
877,442,702,151,801,970,335,291,712,185,076,004,484,398,518,608,346,007,653,
430,766,997,134,627,645,295,475,788,608,140,256,102,829,431,534,045,453,179,
007,345,702,551,206,911,995,306,232,684,651,806,048,374,395,829,608,939,735,
352,296,811,317,537,220,113,971,235,074,681,548,159,951,430,725,529,109,466,
626,950,180,545,753,085,651,826,923,177,666,039,121,779,601,171,341,684,402,
016,125,272,160,961,164,463,429,100,572,184,605,115,042,212,146,505,832,887,
473,663,128,306,050,021,438,960,425,420,392,364,256,622,830,696,307,654,901,
106,689,597,780,581,559,608,666,678,445,411,779,649,498,220,285,644,846,011,
325,056,796,078,615,052,457,985,493,672,855,154,052,850,393,749,479,252,027,
874,564,165,592,210,838,571,286,540,907,043,574,862,147,685,105,294,087,727,
393,643,710,428,515,101,784,823,989,886,391,624,688,045,749,485,172,529,586,
665,468,639,029,647,151,542,466,508,846,213,836,689,004,580,698,439,169,691,
245,563,805,591,635,379,181,928,501,718,792,555,397,232,214,201,179,406,638,
714,107,920,495,058,516,027,719,451,157,780,690,458,856,935,331,351,197,312,
919,524,868,252,510,518,373,244,769,953,713,804,492,755,917,003,118,531,570,
734,739,923,657,741,272,314,551,840,111,049,008,701,629,223,267,007,669,920,
214,221,377,656,538,383,917,610,832,803,409,924,379,730,667,382,556,359,787,
721,004,395,962,688,845,371,736,299,330,750,654,860,192,577,031,647,845,430,
617,586,915,389,118,687,452,800,405,934,318,342,649,081,945,122,244,724,963,
101,497,663,979,057,380,738,010,896,688,608,708,568,323,159,720,808,546,184,
722,269,581,921,997,440,839,343,294,487,756,753,784,696,852,083,865,126,919,
363,789,034,284,932,356,746,711,406,662,100,176,018,092,139,257,955,140,767,
940,286,618,645,391,393,997,520,532,256,740,210,123,652,778,959,178,991,188,
467,247,508,770,934,028,546,328,186,318,771,166,101,022,954,417,351,740,689,
036,084,231,976,525,508,365,936,718,727,161,649,990,491,054,806,454,602,260,
114,564,553,267,368,561,072,850,331,932,908,216,186,000,531,161,069,282,955,
772,118,363,632,430,012,868,426,841,633,255,327,378,511,772,806,368,323,778,
846,744,298,009,479,307,641,160,998,942,834,034,331,502,516,782,305,048,468,
596,582,277,335,519,531,460,730,253,638,391,559,676,857,713,016,397,755,688,
076,511,757,298,250,205,140,370,729,023,363,692,757,849,959,651,352,347,371,
229,421,698,503,169,902,476,865,575,553,658,060,521,975,471,279,270,727,006,
743,439,998,423,871,991,076,995,130,886,115,343,943,726,973,113,338,323,233,
237,445,916,399,686,668,131,374,621,851,825,067,775,464,933,464,513,818,300,
969,953,364,694,275,399,578,069,102,079,968,185,197,018,642,161,844,725,700,
779,880,724,599,397,768,596,162,938,387,232,353,460,913,914,978,812,626,708,
722,961,490,640,585,571,870,397,608,996,397,565,369,066,855,574,022,289,738,
812,303,559,133,015,606,263,727,057,751,453,389,793,364,164,920,289,905,519,
830,426,491,206,215,728,432,827,981,439,212,845,195,319,967,658,018,335,861,
904,456,553,008,661,682,930,922,196,112,421,563,006,091,812,309,244,804,402,
313,543,022,725,086,936,291,972,061,925,115,888,927,614,394,582,096,741,845,
806,997,973,021,951,178,129,114,693,300,921,396,628,585,336,418,973,434,515,
987,264,300,950,144,653,655,368,783,352,473,201,719,654,322,659,692,998,554,
747,907,284,722,116,850,523,651,306,938,720,449,279,990,945,376,185,132,409,
863,591,789,384,730,114,099,144,011,213,729,458,934,632,268,140,604,392,011,
291,432,402,580,475,309,635,590,064,758,118,078,056,617,047,042,676,975,969,
634,975,147,705,080,671,182,876,758,358,691,554,740,093,723,631,178,186,464,
365,709,710,630,015,360,510,377,744,655,321,084,756,387,420,528,758,340,574,
219,119,634,589,920,500,988,848,168,867,584,069,157,031,860,950,055,546,003,
463,924,835,265,778,354,386,758,402,214,776,411,037,162,137,271,626,942,783,
731,394,960,892,606,121,545,799,365,988,505,991,540,672,591,212,172,264,923,
132,271,831,063,385,392,532,880,308,683,146,020,143,642,408,146,709,095,256,
585,917,381,375,307,310,685,804,559,084,287,714,012,731,193,366,505,208,316,
767,438,141,794,095,336,785,051,140,273,723,247,783,824,057,995,292,257,875,
165,741,207,634,257,205,014,982,829,623,282,223,466,998,509,536,452,244,561,
524,472,787,429,497,563,305,091,458,858,255,919,234,339,377,118,118,539,506,
402,770,265,766,576,783,756,540,918,274,837,680,251,788,497,904,375,310,826,
701,863,947,027,567,927,787,534,065,266,387,099,372,761,452,057,077,350,536,
120,287,248,452,565,063,030,664,816,268,749,515,433,375,011,354,954,946,291,
120,964,000,472,486,476,589,419,338,975,191,310,874,114,166,238,828,188,391,
738,446,884,095,216,779,508,373,126,554,005,297,762,543,206,814,896,116,221,
719,103,937,080,636,720,068,213,128,093,923,380,353,424,605,574,099,673,359,
396,473,869,625,755,492,395,473,007,370,261,705,708,931,584,388,635,793,365,
752,075,798,908,709,950,093,691,739,687,359,457,151,711,258,517,192,780,104,
168,011,362,065,822,590,206,439,001,339,396,683,787,143,668,395,602,398,851,
177,601,399,596,402,220,441,795,769,928,685,084,542,115,613,109,117,076,422,
714,333,081,952,015,653,963,253,446,714,172,579,751,067,629,231,627,616,272,
728,077,054,877,771,068,904,470,070,915,149,256,153,187,506,035,416,621,259,
232,065,658,638,494,374,318,359,118,446,211,667,251,257,578,552,053,066,997,
910,978,430,780,916,762,797,866,129,389,633,967,301,656,402,461,312,976,815,
517,217,553,570,321,904,596,955,917,338,494,977,793,155,479,570,913,719,599,
651,064,272,592,104,547,065,569,036,710,630,108,767,832,525,577,460,951,409,
517,337,741,593,890,024,533,951,790,757,713,085,547,901,498,410,959,353,483,
924,381,389,599,271,671,579,459,715,145,470,664,163,805,645,927,098,145,013,
000,032,541,231,277,799,363,607,636,299,129,184,789,448,151,534,205,874,108,
104,436,633,766,007,118,738,093,036,318,692,615,465,989,675,354,287,982,588,
238,631,180,865,292,737,870,381,105,385,221,636,260,605,847,663,594,064,258,
183,977,018,477,536,284,234,423,359,169,982,266,033,429,982,655,870,276,184,
923,584,057,467,222,273,584,347,477,998,945,248,235,394,320,676,257,284,024,
630,871,928,345,809,292,157,245,747,358,807,826,319,137,497,367,842,166,792,
962,883,257,043,559,965,361,535,057,834,903,842,581,076,668,104,754,700,845,
154,243,265,487,434,274,813,399,463,243,746,519,705,844,170,021,898,296,829,
198,646,049,205,124,942,474,947,345,102,176,207,652,148,472,751,544,996,280,
602,939,676,567,811,321,110,723,357,373,254,147,176,909,932,516,309,874,088,
664,472,716,938,189,696,695,597,867,381,092,553,243,962,456,361,842,988,629,
792,985,821,137,866,466,498,076,500,906,183,461,214,853,421,052,385,179,498,
286,122,345,070,487,776,940,904,182,592,115,934,573,638,442,918,887,081,043,
199,750,048,425,107,499,753,084,346,462,611,485,021,048,110,568,029,344,629,
868,295,854,736,799,103,022,625,435,098,919,622,029,750,000,161,101,877,091,
517,744,846,051,002,794,329,473,337,720,857,289,195,529,539,719,234,832,425,
071,597,888,975,873,351,321,416,229,672,228,036,118,887,599,235,590,521,715,
243,268,273,644,976,920,492,624,661,776,492,542,603,719,627,439,314,103,100,
388,026,299,271,810,541,781,008,877,735,839,408,362,489,073,017,545,956,281,
814,371,440,611,868,996,457,154,022,200,241,305,156,664,312,973,566,694,979,
053,348,871,495,225,208,637,583,444,681,639,824,175,710,832,441,433,286,421,
847,850,869,215,035,360,609,766,409,929,702,502,278,927,419,757,493,370,721,
028,295,604,032,250,100,287,953,483,207,212,843,448,372,827,729,392,917,708,
916,437,758,486,601,979,823,213,159,470,972,674,255,450,292,476,211,064,718,
381,753,292,431,916,380,920,377,693,183,913,021,902,838,466,891,966,423,918,
696,212,825,575,720,911,796,357,918,619,487,590,122,492,680,318,654,033,774,
473,233,254,229,214,458,024,876,802,992,893,508,683,702,416,149,100,756,614,
168,753,472,069,030,393,547,042,763,375,343,756,733,319,497,826,621,797,710,
481,502,262,280,927,513,797,772,107,820,408,259,069,623,220,803,667,232,552,
849,954,324,523,264,471,939,050,897,694,984,459,144,256,940,454,466,092,680,
200,881,718,544,942,876,882,804,949,036,221,560,269,555,983,492,490,331,821,
182,993,534,190,653,525,223,409,333,629,381,695,377,944,914,458,194,143,853,
855,945,973,141,889,628,385,009,026,924,024,448,412,349,340,642,591,306,905,
785,185,932,768,663,496,309,870,778,167,475,560,285,234,174,075,514,655,283,
818,653,930,598,733,202,739,233,099,893,699,309,974,447,240,822,926,099,073,
065,308,568,763,322,554,883,064,570,437,137,873,665,127,949,231,227,603,418,
637,616,534,390,703,349,114,347,916,805,061,549,023,340,454,192,040,810,997,
518,583,840,181,657,895,464,808,696,387,011,763,262,842,886,962,853,047,999,
213,148,937,305,110,966,140,766,009,614,857,327,621,612,457,301,519,897,608,
312,126,276,012,231,205,848,612,389,976,659,895,515,181,517,663,865,063,668,
205,989,991,652,997,749,799,167,786,622,267,417,495,412,804,721,430,834,251,
943,257,128,971,805,591,379,610,794,279,646,865,949,038,891,512,685,899,457,
434,693,775,320,180,822,186,064,689,814,434,332,193,240,089,441,634,827,760,
901,992,325,459,312,754,475,761,326,677,133,108,660,261,448,425,524,790,180,
665,378,612,991,890,996,072,703,903,147,042,512,514,204,045,591,267,522,512,
108,837,135,646,731,264,480,670,008,756,618,751,867,534,391,841,444,629,543,
240,798,822,528,422,686,536,398,451,158,655,092,068,435,755,808,204,593,427,
379,406,684,380,695,719,827,312,353,911,024,055,086,201,476,280,308,398,500,
135,820,172,786,355,327,394,942,233,982,783,816,867,716,643,632,918,475,704,
223,546,828,000,226,533,924,243,563,124,748,035,596,258,449,172,523,983,387,
489,703,182,483,587,043,220,135,091,003,623,266,075,586,167,126,913,840,786,
199,287,261,849,644,590,675,336,524,896,449,845,759,373,917,448,864,839,133,
563,144,042,577,719,702,942,686,217,830,547,033,887,886,972,278,821,752,117,
582,665,499,058,578,864,361,155,642,040,517,590,428,997,450,445,044,599,589,
507,038,215,970,634,076,828,015,774,861,683,037,277,099,869,533,066,966,601,
973,826,961,334,502,818,503,658,673,208,077,820,371,828,027,242,140,124,063,
439,893,467,324,646,385,115,675,903,906,680,346,104,753,109,216,522,364,226,
615,133,277,366,030,143,605,471,446,557,025,464,608,356,757,624,945,210,738,
084,836,649,513,013,228,692,202,633,855,549,114,937,222,531,399,882,350,439,
134,625,805,375,759,078,736,703,186,075,890,132,253,035,902,113,625,004,264,
946,307,888,386,363,262,888,868,712,640,741,609,511,341,033,595,298,741,101,
999,189,552,671,762,311,266,128,685,446,995,005,152,817,759,916,191,325,139,
826,594,158,918,657,053,183,531,515,991,205,375,330,156,458,543,720,455,169,
230,667,584,083,252,100,246,660,428,534,605,132,247,455,478,997,316,558,758,
732,495,299,335,249,770,437,113,480,474,251,603,876,211,848,227,565,206,681,
615,138,405,632,852,211,242,801,298,044,422,873,746,200,254,320,643,653,107,
805,800,978,037,662,166,222,124,577,077,851,583,541,384,579,602,118,053,036,
178,423,794,052,627,757,515,930,206,552,161,868,884,816,711,557,046,770,483,
545,846,883,247,125,838,560,726,197,260,680,315,949,255,882,711,702,212,647,
271,573,641,604,764,357,893,280,635,259,138,094,215,151,937,724,072,920,876,
059,619,540,850,012,420,330,087,971,161,190,579,937,298,100,811,865,400,596,
935,728,193,386,022,487,044,414,079,519,664,099,074,810,389,341,482,445,900,
817,050,174,405,574,906,930,844,459,142,358,046,654,916,850,940,655,103,186,
049,742,261,931,665,633,173,390,133,514,254,472,146,248,968,287,533,927,579,
637,402,170,980,949,381,621,337,436,005,031,714,310,564,669,874,152,192,936,
978,295,401,840,466,470,886,615,120,728,890,651,063,592,670,450,100,542,769,
417,925,372,088,632,656,224,897,198,646,288,450,309,686,828,660,670,848,497,
884,930,484,825,786,642,718,773,690,409,426,513,951,174,849,718,817,394,024,
008,200,365,051,125,183,734,476,323,882,229,458,911,589,226,788,001,237,075,
175,189,760,147,932,988,428,572,101,858,695,021,952,575,815,230,580,828,920,
642,859,610,791,924,751,657,416,108,393,193,815,424,311,684,777,266,822,566,
263,173,603,302,121,436,033,182,810,667,048,461,494,643,243,001,078,911,688,
561,962,294,134,301,934,821,510,353,635,149,767,600,703,037,557,696,763,153,
455,128,811,098,590,815,245,864,451,831,706,366,018,394,142,375,448,084,966,
027,406,940,931,093,472,769,418,461,773,200,609,680,204,367,563,887,812,507,
887,664,288,087,842,021,070,690,414,247,899,716,998,409,098,504,410,312,901,
826,378,248,425,622,965,858,439,238,054,500,201,489,503,755,888,884,626,650,
544,289,636,821,347,333,690,849,978,269,930,442,652,240,107,582,539,029,546,
343,805,170,263,490,018,516,218,700,535,618,790,958,854,644,558,487,746,227,
806,496,056,889,948,635,118,681,888,422,474,404,082,290,108,431,535,410,819,
972,542,866,269,051,514,906,088,031,283,515,800,855,946,883,503,270,066,660,
061,688,745,300,950,906,986,370,431,049,467,599,578,748,129,013,883,211,198,
706,258,789,298,494,398,887,446,096,671,122,106,319,102,940,223,814,766,322,
131,840,998,954,072,326,675,769,731,050,861,660,504,502,874,747,089,195,271,
112,357,271,610,765,753,831,628,093,336,760,166,632,977,659,224,372,517,597,
718,222,449,257,203,886,572,346,323,855,066,856,005,176,472,362,563,567,719,
460,788,594,929,319,123,081,349,836,297,284,002,043,475,271,988,063,548,575,
767,071,964,483,993,350,186,943,225,491,954,321,658,958,334,458,950,012,196,
586,871,407,406,193,488,682,300,739,542,348,641,511,398,829,827,985,929,519,
625,016,692,085,777,674,332,053,842,992,171,613,418,661,388,754,715,756,593,
642,716,707,989,160,343,267,281,229,876,051,883,791,083,804,179,157,974,381,
414,389,644,038,559,658,142,972,774,212,635,655,698,075,566,035,134,749,062,
311,919,747,468,080,498,038,079,261,056,169,996,338,311,012,818,664,937,211,
515,772,550,581,812,514,961,413,748,183,845,004,696,793,837,361,373,408,298,
319,641,478,517,386,474,908,397,443,465,983,208,108,810,881,515,126,469,958,
177,544,470,538,126,843,177,359,690,143,410,446,642,810,394,221,558,909,526,
361,667,868,721,833,323,176,903,376,753,735,784,083,408,749,908,805,583,532,
173,425,641,838,424,267,408,943,467,704,166,308,328,007,285,909,631,254,435,
094,866,503,814,408,713,288,254,778,831,671,532,865,274,384,569,534,596,277,
581,735,074,887,542,651,731,002,688,181,899,464,191,623,111,951,614,956,413,
217,714,248,765,398,717,114,908,650,214,020,176,603,817,174,747,972,896,386,
675,949,087,903,158,824,572,933,711,409,387,652,344,366,874,141,322,752,924,
689,633,334,491,286,361,898,251,020,304,697,908,410,775,170,461,838,190,008,
401,622,305,483,002,896,995,770,769,264,530,010,271,205,775,586,815,014,576,
775,979,053,429,680,258,216,513,449,540,580,135,489,238,936,282,504,717,435,
449,830,566,602,070,359,170,606,985,829,324,240,068,073,936,585,937,378,655,
655,848,493,626,367,205,083,696,895,447,689,439,710,411,555,494,299,244,490,
726,105,383,625,507,516,471,181,226,165,166,659,020,406,640,219,881,077,742,
857,713,811,901,867,291,290,475,762,566,613,027,539,728,324,032,900,847,268,
123,458,925,391,761,292,965,113,286,229,275,204,702,316,906,207,282,444,982,
277,017,221,269,843,586,416,440,098,313,460,310,991,251,949,756,630,370,528,
600,097,535,703,229,260,245,154,911,184,640,141,645,398,737,721,942,677,484,
408,624,975,841,792,581,323,178,231,883,457,664,207,111,755,159,158,104,751,
876,938,693,360,938,679,928,109,956,864,624,962,471,967,720,651,066,607,242,
221,707,631,850,872,033,054,838,768,511,910,618,912,664,247,072,878,585,233,
522,839,127,979,238,885,366,246,505,849,434,999,238,503,314,747,142,967,192,
230,334,909,980,715,834,301,311,306,619,150,034,187,978,486,587,610,361,578,
220,278,654,481,627,119,649,810,913,455,820,558,380,646,823,992,728,487,641,
057,966,438,877,893,307,385,707,372,698,092,072,423,823,413,921,536,863,097,
609,893,286,592,929,909,927,627,455,613,361,051,072,238,649,064,312,805,446,
948,710,655,039,671,112,539,300,926,108,486,552,470,053,472,552,897,443,621,
985,098,555,335,540,599,732,206,474,657,161,816,260,270,618,534,092,668,988,
996,176,303,262,743,737,718,078,692,161,955,750,400,212,314,268,381,391,020,
564,318,689,060,532,941,720,491,764,398,025,144,993,627,534,223,677,122,463,
907,330,484,564,378,846,177,936,985,358,566,260,749,286,028,243,733,998,488,
304,000,217,024,513,407,750,362,097,936,441,262,807,418,966,777,060,165,582,
749,108,073,966,804,508,585,368,576,057,512,406,705,640,472,919,818,241,342,
500,674,724,540,873,800,958,472,782,216,861,541,809,444,586,101,447,116,661,
792,660,914,146,705,732,662,850,106,021,231,113,586,749,900,383,492,951,807,
970,758,118,696,957,473,542,331,683,181,214,978,041,468,387,606,191,592,682,
593,155,070,814,588,045,624,916,307,865,783,751,294,778,037,280,863,747,752,
594,099,208,761,598,043,433,421,292,051,250,298,880,181,025,872,656,313,348,
517,245,206,683,760,255,221,621,825,516,896,043,280,244,364,466,655,435,899,
175,287,440,179,676,512,670,298,048,466,967,909,128,695,093,857,259,931,874,
594,156,811,729,633,759,383,246,161,366,813,073,626,766,316,849,289,864,398,
502,212,619,504,778,841,749,280,248,018,033,619,015,353,943,967,623,066,364,
249,497,799,309,830,844,562,689,077,542,846,954,015,362,004,127,850,135,765,
655,578,592,894,808,594,350,518,794,237,842,562,886,282,011,385,168,198,239,
693,400,684,143,335,631,055,943,718,966,940,980,243,246,149,958,079,376,400,
992,518,072,028,766,442,385,867,157,263,904,325,492,309,555,562,678,634,391,
083,445,908,258,256,995,117,739,688,136,063,649,514,869,764,261,623,987,139,
373,482,944,397,595,824,306,893,027,985,135,990,162,747,499,752,306,704,786,
103,813,381,340,697,982,131,487,572,666,928,645,204,737,382,062,224,070,322,
518,813,456,116,873,340,423,121,706,762,791,552,880,868,210,189,058,790,979,
028,269,891,692,671,892,450,020,132,006,797,614,333,088,706,939,569,692,564,
487,906,153,664,244,674,342,160,946,235,884,076,483,744,365,963,109,582,951,
182,621,516,374,439,711,756,256,776,121,621,538,421,644,496,404,762,296,692,
337,932,081,072,127,624,265,289,344,033,226,955,134,984,270,993,887,214,035,
351,077,571,152,648,002,237,144,261,198,076,532,168,414,059,693,556,386,616,
248,472,813,269,968,450,963,150,645,685,403,145,211,043,414,989,356,740,683,
951,828,700,457,451,521,168,252,606,331,770,768,458,248,549,061,723,804,693,
020,134,485,918,882,069,746,452,822,038,657,973,894,851,370,302,099,404,596,
530,209,823,854,739,049,799,450,304,374,975,406,918,084,513,533,044,862,600,
955,520,375,289,354,114,180,322,560,149,387,050,583,711,701,660,503,336,117,
784,488,223,117,885,692,428,490,181,198,401,632,659,992,253,623,936,408,626,
113,016,272,200,176,988,632,008,680,670,366,925,665,464,895,009,513,681,689,
679,968,972,722,770,122,779,771,508,228,384,620,726,023,216,889,819,527,165,
179,065,507,744,312,597,714,917,828,775,477,803,079,170,931,264,279,660,727,
039,379,793,505,485,279,598,041,964,548,319,388,428,939,366,424,696,493,186,
810,500,468,053,076,135,891,911,446,503,426,385,042,217,087,937,522,552,392,
978,325,077,714,095,918,082,545,073,931,261,458,145,004,464,927,007,652,213,
483,932,238,618,221,471,471,791,645,292,657,531,997,301,833,715,903,223,780,
097,941,327,071,298,739,321,551,743,295,676,767,622,198,234,696,893,854,510,
464,155,073,559,889,714,516,514,755,773,080,558,170,012,146,113,026,466,069,
156,056,445,291,144,613,658,175,646,986,197,288,430,106,011,230,583,845,059,
132,312,850,964,322,414,286,307,378,217,068,464,335,528,953,973,802,033,859,
379,623,894,167,491,915,561,320,528,427,112,287,012,938,688,623,160,265,287,
642,656,447,239,829,461,379,226,170,502,866,908,880,561,006,646,429,735,065,
887,536,536,915,606,917,868,576,264,208,659,541,000,274,913,560,334,795,533,
249,958,405,357,738,126,521,078,505,117,955,754,181,662,680,433,530,103,724,
800,545,573,196,712,641,920,144,811,669,956,227,047,111,610,167,473,102,605,
795,678,673,262,557,105,445,481,408,628,408,871,697,991,945,400,005,870,497,
253,158,058,264,663,408,937,108,487,193,877,152,598,776,798,435,466,617,748,
934,867,350,860,500,121,566,097,364,908,893,881,207,546,421,238,511,789,658,
159,996,730,035,173,343,585,409,422,366,252,428,627,413,481,594,004,289,304,
507,573,983,990,604,550,641,185,490,972,118,787,968,050,843,587,176,907,203,
498,052,876,255,632,108,019,369,936,488,166,633,980,414,328,672,725,132,965,
807,215,396,829,365,840,999,059,130,579,454,190,207,675,831,034,143,357,842,
177,498,767,787,964,925,020,014,116,548,439,374,714,756,514,746,678,594,579,
019,388,215,009,087,916,285,088,474,891,892,408,639,481,282,083,441,038,857,
747,733,575,752,328,683,608,149,726,855,313,652,448,462,531,721,832,591,888,
507,010,684,061,424,610,447,232,702,222,963,429,913,547,736,457,662,683,593,
018,925,135,777,237,969,569,544,591,938,194,421,501,724,627,352,549,009,935,
578,484,554,964,733,443,904,870,851,804,098,983,973,680,158,733,134,926,891,
447,012,711,444,924,043,627,836,125,450,292,344,155,226,268,500,895,413,300,
275,084,399,155,391,106,929,657,005,753,765,086,723,338,147,457,553,996,653,
975,217,203,416,592,594,409,570,122,271,357,030,500,693,924,176,750,139,245,
875,978,413,965,340,810,631,034,334,257,303,241,305,081,571,150,859,803,329,
194,469,261,188,259,039,608,993,238,232,724,021,130,714,741,281,638,076,371,
621,962,807,844,660,975,215,841,809,302,779,570,161,477,487,157,819,934,808,
854,210,102,979,897,815,931,474,966,289,263,392,769,169,357,962,221,006,366,
907,475,055,340,398,624,235,488,804,470,727,009,528,645,831,934,981,914,400,
008,416,491,042,946,045,641,022,555,143,026,617,041,710,898,874,560,834,288,
310,317,834,953,611,717,321,458,239,121,396,933,834,677,665,333,743,171,491,
721,840,086,939,733,924,894,547,592,012,850,501,489,042,905,390,518,442,111,
626,155,019,621,603,125,732,576,963,869,286,648,695,368,533,698,755,226,597,
638,591,490,962,240,470,094,930,520,461,314,831,221,033,645,189,567,269,957,
041,939,755,390,317,961,537,455,469,629,352,050,373,537,632,310,684,531,891,
538,852,944,162,120,898,023,819,208,016,795,424,853,089,280,620,729,052,355,
469,392,791,841,778,852,044,973,924,423,877,127,571,240,098,608,446,405,483,
391,708,118,028,437,402,078,455,616,848,053,734,779,844,139,529,618,697,997,
808,525,368,069,930,768,771,945,775,301,175,891,490,474,254,637,630,268,307,
726,557,762,235,876,604,444,169,906,117,413,660,956,257,223,188,508,738,363,
925,884,836,234,484,169,409,737,295,339,892,973,270,551,314,562,122,474,028,
485,936,780,241,807,395,025,555,850,746,867,961,239,880,285,352,082,934,207,
669,749,409,811,560,234,013,003,027,135,741,950,714,165,161,319,095,298,002,
645,679,493,367,591,912,145,893,747,620,271,840,571,134,094,805,500,393,860,
709,208,786,254,259,979,345,774,782,800,553,201,415,302,228,460,075,130,280,
616,306,858,308,302,339,440,920,515,176,584,244,751,158,663,999,856,782,880,
317,010,483,871,741,877,221,641,146,734,806,503,804,679,321,154,959,693,183,
436,289,337,543,864,407,807,523,413,935,580,522,832,907,774,105,327,085,998,
987,155,183,555,764,860,151,550,448,050,593,658,196,963,708,157,475,833,219,
533,207,839,590,093,732,536,522,460,200,699,887,751,682,129,767,097,401,079,
832,246,177,936,250,016,289,988,547,585,270,591,649,379,213,501,363,720,736,
417,436,681,402,072,506,037,930,824,051,010,623,092,445,767,575,741,074,018,
728,666,942,084,198,247,603,978,800,244,405,809,932,463,995,460,379,709,809,
128,237,918,049,432,234,607,892,570,758,119,579,947,401,139,309,396,982,485,
754,469,606,108,768,098,874,191,698,841,008,201,442,466,777,798,076,127,929,
744,263,385,751,569,476,074,435,977,551,419,628,637,622,258,457,798,944,883,
562,101,347,582,228,708,828,289,347,794,765,076,913,073,723,373,726,661,326,
660,828,727,548,917,868,512,765,544,254,684,698,184,985,263,437,398,837,488,
768,287,626,944,689,610,893,896,019,365,708,823,257,118,951,517,638,207,432,
624,524,177,276,429,842,192,688,678,699,086,444,691,005,176,845,773,991,162,
316,622,521,135,553,390,888,589,715,152,496,798,292,135,822,942,182,947,470,
640,259,033,325,526,965,297,473,864,038,480,179,202,333,303,700,431,113,080,
121,182,825,203,149,873,044,185,242,169,243,453,113,492,344,978,601,864,037,
391,872,511,218,607,113,123,652,681,544,381,605,168,804,269,577,278,388,449,
530,707,451,059,185,474,016,093,085,285,686,916,776,601,984,462,308,682,453,
767,187,770,767,830,013,509,805,954,255,159,341,280,975,782,610,504,363,554,
413,187,367,751,874,779,504,986,856,094,588,239,320,480,912,411,765,380,254,
700,598,363,063,086,774,210,504,170,312,923,081,950,195,434,398,601,263,422,
117,977,694,519,543,611,190,889,305,066,372,290,183,281,594,457,378,688,951,
534,889,078,690,557,643,638,456,379,547,183,956,397,122,220,539,138,397,445,
968,358,975,413,679,322,288,093,096,022,657,350,475,699,250,173,202,510,976,
743,329,423,085,689,583,111,676,881,657,574,992,531,710,567,621,220,632,646,
338,700,757,482,891,398,838,919,141,633,808,806,655,074,474,636,072,008,953,
818,248,028,448,112,446,592,892,202,078,326,987,941,591,789,815,130,137,769,
162,260,887,915,978,671,884,988,429,809,984,422,667,076,445,476,959,216,048,
326,188,624,864,099,844,988,535,171,467,283,080,093,138,704,510,302,633,655,
340,308,499,311,885,131,593,425,263,888,555,688,405,808,749,291,999,146,087,
684,702,951,464,415,479,124,220,794,405,796,621,902,500,754,437,892,535,348,
772,837,080,907,264,540,690,261,113,549,855,607,700,261,145,898,088,148,679,
771,409,679,837,442,845,044,286,647,073,874,933,187,618,206,975,136,820,725,
858,108,997,909,889,386,939,469,695,708,960,496,443,568,715,856,249,652,141,
925,987,467,655,441,386,047,523,496,997,170,822,509,818,852,492,188,238,574,
443,749,222,400,273,221,667,597,803,074,281,610,072,430,604,720,874,986,986,
124,812,953,896,420,533,359,912,029,660,200,296,654,183,284,742,318,247,178,
143,987,452,184,796,158,367,178,410,199,093,172,961,729,590,261,946,270,586,
960,967,298,561,401,026,496,268,367,092,275,702,968,751,538,549,281,330,621,
667,516,551,365,523,144,855,701,153,966,783,314,988,105,721,789,232,481,505,
332,208,112,497,210,996,954,629,502,505,583,455,761,935,110,876,038,600,342,
295,285,384,662,845,709,701,728,208,790,067,472,565,746,818,322,913,742,032,
874,692,623,319,806,197,175,014,108,369,252,144,890,292,679,153,317,440,255,
338,163,504,484,742,431,490,208,525,460,844,276,283,858,283,391,281,044,127,
841,058,206,707,107,500,782,209,930,637,841,827,404,763,322,403,869,336,339,
770,435,308,545,090,806,040,060,180,079,515,329,257,192,442,755,693,589,117,
454,457,281,019,696,799,618,275,410,845,452,937,068,132,535,296,737,078,713,
709,442,102,753,659,506,236,384,084,070,060,728,506,512,709,720,984,545,382,
785,842,541,928,734,705,442,955,901,450,827,873,918,534,427,360,748,389,410,
680,862,390,780,890,982,353,235,813,083,121,222,466,864,042,662,276,571,246,
600,176,722,587,430,689,211,321,323,016,511,228,957,727,288,775,038,547,979,
089,045,547,817,217,438,520,931,193,986,837,115,144,040,305,099,551,170,975,
138,837,205,362,044,839,177,349,667,443,394,090,814,230,704,694,756,350,232,
024,099,640,528,361,026,391,489,612,553,823,847,107,709,849,965,016,927,030,
990,428,516,098,865,259,670,127,434,203,796,473,345,723,298,631,510,189,474,
619,064,940,498,592,735,201,609,492,198,562,066,343,868,690,287,220,807,868,
158,962,268,733,995,194,246,382,703,834,989,135,679,536,404,503,916,130,943,
037,359,426,935,819,847,892,144,245,709,111,719,374,007,610,224,232,084,405,
096,327,751,309,850,516,864,093,568,535,473,812,350,687,156,989,061,428,613,
438,526,090,125,329,716,506,424,130,538,441,553,826,761,518,069,093,918,434,
417,089,481,637,302,938,457,368,049,572,371,048,885,967,682,038,492,973,946,
324,506,784,210,170,203,770,137,970,671,619,812,787,353,544,360,035,659,914,
626,354,393,686,376,761,301,782,992,388,757,723,619,159,350,140,738,143,222,
877,970,800,956,285,013,857,914,732,219,753,621,548,455,630,386,871,780,692,
217,007,330,965,972,403,175,493,054,848,512,118,409,260,045,546,624,169,798,
407,694,456,953,312,827,370,241,506,769,812,585,182,657,658,407,963,055,034,
839,359,960,320,342,363,492,177,120,835,578,045,300,104,122,226,498,230,365,
269,939,660,150,813,844,666,384,808,072,339,901,890,957,819,644,008,942,288,
265,042,235,152,397,429,481,090,625,013,761,926,083,232,250,583,158,857,748,
784,389,871,758,261,993,316,941,144,243,717,987,889,309,944,746,993,823,603,
566,490,312,660,750,661,993,847,784,443,873,877,513,797,700,601,671,769,480,
454,435,738,578,871,641,178,214,035,313,079,289,965,610,412,411,077,922,352,
779,750,316,748,242,333,890,713,440,561,875,759,361,216,437,170,727,667,706,
401,081,411,022,936,042,782,615,867,103,706,812,000,186,374,229,717,821,426,
463,132,786,180,103,864,389,966,366,670,912,978,303,837,247,181,055,085,119,
643,986,320,270,092,161,656,720,654,361,895,136,975,335,479,586,445,718,296,
128,748,731,098,129,509,217,877,926,465,293,514,507,079,648,211,117,106,108,
268,092,538,898,763,624,732,254,086,845,293,546,311,268,796,586,924,395,808,
568,424,140,183,790,507,673,478,450,758,776,650,477,050,745,233,884,154,115,
456,627,778,917,200,836,720,173,005,343,567,728,689,832,927,251,596,184,816,
711,363,755,488,477,970,772,039,119,742,284,488,108,248,038,161,606,272,298,
533,662,972,954,643,487,259,608,355,406,753,296,935,678,557,581,925,041,842,
727,609,862,602,229,950,088,910,653,045,593,525,601,262,641,630,744,670,173,
035,688,308,615,066,680,202,919,261,239,561,326,790,740,291,467,522,859,409,
019,735,984,732,269,540,653,756,227,818,139,577,848,821,194,187,490,081,755,
967,410,196,867,110,660,753,749,105,343,684,572,600,297,631,716,898,411,272,
781,562,565,759,758,371,342,963,977,583,780,285,785,402,798,486,381,976,753,
989,884,303,634,522,229,894,298,205,138,708,287,289,036,361,428,480,872,427,
104,658,379,551,801,458,957,131,969,350,654,160,606,440,570,087,790,578,202,
614,427,729,353,490,467,612,242,540,251,656,215,698,451,882,830,859,896,414,
835,459,076,707,944,081,479,934,050,052,797,586,809,998,151,126,093,229,674,
381,822,367,611,715,180,539,778,817,995,165,553,018,429,500,437,210,144,933,
003,025,126,380,202,839,749,467,649,083,579,106,493,280,559,258,064,150,949,
069,642,674,829,424,568,380,359,576,177,977,892,551,553,679,301,511,512,356,
043,347,079,923,055,732,051,443,210,665,214,593,790,636,829,128,064,273,707,
031,539,882,240,571,372,333,658,829,558,663,035,046,781,881,661,888,825,159,
963,624,307,532,218,172,502,663,663,589,127,686,206,250,168,055,040,561,959,
096,603,276,729,716,581,295,740,052,634,211,500,775,539,114,432,474,457,274,
405,563,223,998,483,226,341,637,201,373,509,322,035,339,983,871,338,043,534,
505,344,528,380,377,732,842,338,693,613,180,222,639,974,006,154,643,009,920,
418,130,576,344,235,787,384,430,942,571,020,179,361,675,558,507,446,915,956,
265,620,489,178,460,512,333,243,281,479,604,541,532,277,776,792,669,004,897,
578,083,912,901,159,194,964,359,672,959,235,449,406,430,233,843,324,875,199,
830,683,372,893,187,562,846,515,795,491,357,973,251,559,162,561,278,926,855,
178,938,638,242,315,047,611,456,350,922,807,307,538,011,426,273,802,668,037,
348,029,867,244,833,291,572,504,941,849,176,340,436,657,964,628,018,258,460,
634,924,819,558,233,111,349,043,321,985,204,023,621,334,674,505,458,093,016,
296,508,651,390,017,592,581,836,317,084,687,148,853,852,812,241,852,736,239,
255,277,259,159,463,008,481,349,702,991,579,884,489,570,856,510,129,277,652,
515,649,927,197,887,522,145,256,799,270,134,994,256,781,936,399,484,987,926,
717,649,365,561,078,447,532,391,144,030,286,796,021,094,413,701,030,038,732,
508,364,275,092,264,027,451,487,988,311,127,152,667,839,064,551,373,534,653,
047,231,603,989,932,503,954,752,222,730,292,148,038,251,385,724,571,692,964,
763,520,872,103,565,374,651,832,039,571,149,184,950,504,617,312,575,512,148,
078,496,443,514,339,704,488,554,644,002,248,684,956,167,833,577,376,853,310,
446,661,776,825,175,158,121,070,202,061,574,452,973,227,252,583,318,711,988,
675,015,320,074,838,223,716,226,417,554,073,628,752,110,975,917,070,460,461,
459,178,427,855,661,083,235,390,856,932,054,209,028,443,090,636,523,946,538,
378,440,819,954,333,562,851,924,679,238,493,168,398,231,867,944,598,695,136,
622,305,664,117,678,711,105,709,248,082,968,676,882,747,702,929,476,731,056,
029,115,325,708,137,391,592,310,771,028,289,009,577,914,142,547,733,342,291,
736,926,082,648,022,415,773,335,636,317,281,467,702,974,458,616,687,253,027,
631,077,082,773,793,373,648,193,766,372,145,451,018,198,023,869,702,654,916,
997,229,728,191,241,145,224,549,817,447,768,660,454,782,406,218,030,889,962,
950,546,498,612,584,687,616,989,881,383,980,332,630,027,839,621,241,379,589,
031,213,426,559,066,690,231,651,382,271,998,205,486,288,587,787,794,082,916,
174,327,849,892,872,668,307,623,224,276,196,365,332,201,646,949,887,949,833,
251,458,788,592,263,938,730,077,939,852,239,499,883,264,630,845,986,173,348,
656,652,651,226,963,508,383,603,627,358,468,377,652,003,413,277,931,101,567,
681,628,427,066,343,450,526,140,277,413,058,273,192,440,814,780,545,610,349,
439,053,177,415,191,410,639,796,697,478,913,427,929,094,355,881,630,359,618,
582,224,249,395,893,408,732,576,746,733,658,074,783,598,333,781,166,490,514,
999,468,314,782,650,906,018,731,498,985,266,845,430,559,395,208,561,187,820,
875,679,066,939,324,532,485,842,971,158,863,386,597,064,103,919,652,452,925,
029,974,253,670,025,903,344,078,807,552,233,514,778,214,310,426,105,726,686,
103,375,245,219,912,685,738,270,158,809,346,798,745,914,379,476,275,191,920,
946,597,853,959,819,048,957,904,239,538,359,275,708,939,010,724,058,600,033,
274,090,088,593,854,328,364,199,950,146,561,990,807,661,197,087,955,494,567,
867,590,308,880,765,130,854,600,910,716,955,992,034,419,958,558,111,834,794,
247,539,268,272,380,737,532,722,149,843,673,705,696,901,341,644,654,661,848,
364,166,999,059,690,071,860,485,035,649,007,016,990,753,552,011,814,290,148,
551,528,358,816,714,355,928,877,700,034,877,081,990,927,760,048,122,383,580,
953,282,148,672,173,448,847,735,655,018,335,141,568,823,824,544,380,192,553,
406,257,325,402,029,788,793,656,249,140,321,254,413,606,686,774,433,133,055,
195,625,236,346,453,853,443,866,925,006,323,442,885,095,345,941,620,881,992,
810,825,451,887,917,857,102,947,134,559,626,736,642,432,962,342,938,378,320,
983,553,509,165,785,611,818,407,234,261,982,188,612,920,461,682,414,556,866,
283,016,598,547,252,235,792,155,797,277,266,295,921,456,429,171,498,554,167,
928,017,597,716,479,735,673,149,080,196,311,056,279,799,110,516,481,424,083,
669,679,441,716,655,096,058,050,955,669,699,493,572,603,425,942,771,381,841,
179,798,541,567,556,608,458,216,933,863,583,199,889,122,768,414,414,001,388,
646,716,808,430,462,696,017,744,671,857,989,288,014,621,300,719,402,262,999,
786,828,403,581,461,207,401,959,509,019,710,301,448,772,031,907,220,633,746,
528,574,265,814,003,964,853,931,566,434,137,780,577,552,213,134,604,112,655,
556,260,410,622,064,441,624,145,226,248,851,570,172,112,059,530,102,615,004,
275,881,791,993,897,293,238,363,797,253,702,698,327,400,393,262,559,639,325,
088,398,452,774,959,560,187,470,866,280,853,000,796,113,892,810,628,944,558,
490,844,724,801,906,365,481,541,365,534,362,911,778,026,538,711,592,415,477,
733,672,327,218,298,893,698,204,658,550,015,665,081,899,922,121,157,288,488,
139,331,035,751,593,729,007,218,448,341,997,387,495,915,908,676,502,148,257,
104,053,417,415,153,790,269,969,743,314,387,960,037,344,622,067,956,118,201,
277,660,691,385,992,334,771,399,405,339,040,265,782,328,627,636,390,100,031,
261,356,012,265,621,931,208,620,487,939,704,679,541,720,231,155,149,251,047,
186,917,101,938,073,109,018,153,629,527,679,148,040,879,911,903,948,097,463,
719,006,038,520,240,650,981,736,864,894,058,970,941,809,995,849,045,595,709,
660,174,735,435,577,937,237,675,865,122,005,078,396,672,422,064,690,804,179,
486,172,029,433,095,064,461,990,863,813,758,920,336,701,817,729,579,256,483,
410,792,803,536,874,873,937,288,795,547,484,001,700,532,247,521,058,259,227,
936,327,102,138,174,421,599,577,608,257,577,387,594,657,860,740,217,472,352,
268,092,535,645,060,317,737,043,724,481,930,876,462,008,832,912,150,101,511,
852,310,278,889,309,861,628,325,839,428,562,879,741,616,714,211,687,921,389,
519,574,070,456,470,740,251,686,329,519,745,362,843,866,841,015,866,997,042,
593,993,862,950,030,853,079,927,589,490,961,050,965,072,937,432,427,411,366,
555,577,798,715,577,718,751,389,686,358,228,315,056,340,492,102,127,930,425,
776,435,238,645,394,530,370,651,401,072,578,331,510,435,325,102,588,148,798,
537,208,779,170,734,803,929,959,935,333,219,103,053,888,597,557,347,692,983,
712,343,418,354,835,787,749,930,296,497,885,407,432,740,572,407,121,073,062,
237,515,843,628,601,262,965,880,301,874,674,876,193,871,479,210,313,510,551,
020,023,361,480,929,945,572,512,672,119,612,816,855,633,137,010,262,491,578,
642,920,084,781,649,254,866,924,404,453,854,547,086,759,557,431,978,311,807,
336,879,818,303,566,465,866,733,757,479,341,722,821,523,658,542,584,488,436,
260,919,790,493,870,048,662,342,023,148,887,441,410,223,320,526,247,700,698,
792,589,914,825,027,782,782,324,125,699,384,645,414,486,897,003,583,869,822,
624,825,927,282,968,649,186,226,177,044,055,268,699,179,279,662,446,336,848,
110,310,836,795,694,004,423,600,601,575,350,173,082,465,258,521,734,619,112,
892,710,199,110,438,635,746,369,095,997,776,247,017,192,061,722,803,155,377,
410,301,941,138,259,723,207,998,238,367,408,717,262,105,863,537,605,907,434,
621,777,529,157,497,921,735,914,284,059,938,533,646,646,429,169,460,293,201,
394,542,470,878,753,120,518,056,257,701,448,017,658,792,713,252,833,268,327,
417,951,836,104,004,538,616,526,481,757,043,450,958,772,917,597,455,657,276,
267,293,984,897,865,652,028,032,404,148,602,561,214,365,056,949,766,737,573,
653,329,507,789,648,530,258,626,743,227,629,274,143,506,898,841,237,729,216,
451,831,081,745,204,055,756,103,660,608,226,787,252,164,149,693,034,062,679,
578,254,614,883,109,401,865,724,903,310,535,556,791,292,993,955,933,303,585,
471,296,468,805,004,046,478,103,708,423,347,261,088,839,653,267,298,889,955,
693,067,284,375,562,481,749,492,890,688,405,697,905,752,211,159,831,712,559,
995,575,430,166,101,674,821,614,874,102,053,556,852,565,573,883,457,381,475,
429,092,133,071,491,767,627,282,457,262,038,994,923,642,115,686,510,743,199,
072,777,195,052,294,159,849,179,193,246,095,958,645,802,007,885,079,761,582,
224,243,964,105,597,623,433,369,451,989,975,749,246,777,861,446,247,247,571,
413,183,778,504,320,437,407,872,596,439,182,984,680,169,091,285,010,094,367,
211,085,315,917,080,096,776,379,221,293,094,841,220,183,983,291,801,584,633,
587,081,455,590,718,139,330,973,205,604,018,836,996,300,975,620,318,461,308,
283,481,799,492,898,235,831,714,938,481,013,096,793,644,788,542,545,495,279,
022,601,025,940,573,401,509,216,323,248,731,353,822,087,891,371,927,058,162,
752,290,250,339,663,784,259,898,560,145,836,024,334,781,706,946,069,453,070,
735,640,594,795,757,404,329,877,556,513,333,126,899,166,542,548,329,422,405,
809,618,038,880,792,967,177,623,180,843,945,630,249,875,222,749,428,727,253,
280,476,313,973,297,119,850,858,479,768,363,110,591,774,383,093,772,662,191,
728,759,318,518,477,046,429,150,244,836,536,990,433,382,810,035,001,041,484,
299,351,064,835,588,601,142,693,341,533,115,038,458,642,308,573,707,159,251,
788,360,817,484,148,047,032,873,353,425,037,500,143,589,395,901,499,952,234,
463,485,724,056,437,291,368,227,614,521,303,850,129,992,363,325,971,643,677,
994,330,067,332,202,428,560,900,234,527,664,601,567,325,313,882,263,599,651,
060,320,144,325,005,802,467,402,486,131,329,169,012,166,493,398,584,573,038,
334,075,597,719,086,599,467,155,865,593,857,701,148,891,204,999,245,966,143,
795,609,042,195,743,390,221,080,434,727,805,361,224,871,484,604,328,837,577,
174,898,309,628,690,454,237,917,421,975,976,247,058,359,812,260,717,770,021,
737,124,502,502,527,431,343,226,570,901,053,770,042,783,011,943,928,858,267,
270,716,782,902,680,304,487,696,665,117,419,480,272,837,584,763,372,057,193,
041,823,101,166,221,525,421,904,156,686,372,600,851,750,044,744,257,583,424,
402,923,546,736,396,362,196,951,883,494,490,632,068,138,863,166,837,674,716,
433,289,213,779,237,657,219,211,935,134,547,659,880,625,041,558,071,490,849,
122,653,320,689,077,477,081,284,268,810,057,366,697,540,104,967,950,939,588,
219,763,948,675,900,467,648,908,677,401,835,637,559,720,772,795,058,771,904,
985,863,955,776,826,688,585,585,943,538,806,362,766,203,080,277,443,665,273,
569,309,641,006,662,695,576,568,945,585,400,181,070,844,457,303,338,910,805,
934,618,528,955,238,809,936,755,860,981,064,918,747,445,079,111,703,399,056,
917,683,648,505,032,475,875,040,168,086,524,279,976,198,437,207,954,942,962,
324,545,111,635,654,509,257,289,753,216,206,604,888,390,961,247,313,943,708,
468,150,848,006,272,969,693,421,685,828,717,158,026,401,660,003,929,889,463,
090,289,487,650,332,261,824,738,138,763,032,591,234,974,918,066,787,278,281,
561,161,596,664,776,582,855,196,751,549,470,286,657,339,442,747,919,697,832,
738,639,670,441,788,671,581,656,146,053,010,609,238,220,855,204,333,102,701,
216,328,329,274,138,241,161,658,219,930,459,141,611,378,245,633,850,530,339,
932,104,110,022,895,430,453,696,728,185,794,326,651,997,531,442,111,129,913,
712,559,537,521,858,865,932,885,084,883,163,258,141,092,641,740,639,700,559,
634,145,032,160,585,722,022,652,530,142,025,741,701,371,071,609,839,798,170,
527,859,926,524,083,390,647,740,304,364,097,744,215,180,743,381,890,882,160,
433,084,316,292,386,257,725,911,445,790,313,530,335,795,066,817,467,744,141,
268,464,686,473,202,858,399,865,825,941,778,025,116,560,736,620,113,711,313,
270,564,606,217,390,080,083,462,376,158,439,927,599,846,518,323,389,576,478,
613,858,419,011,852,727,103,017,192,956,095,692,861,277,828,727,382,060,894,
118,164,101,452,039,113,371,874,222,733,520,549,851,894,006,217,074,453,362,
715,922,529,147,142,070,322,208,631,900,937,057,584,025,336,352,152,642,002,
859,738,009,919,265,248,353,159,265,296,487,966,992,465,165,867,339,855,597,
303,905,749,563,275,803,295,900,576,568,989,461,461,764,901,420,378,383,560,
099,651,279,601,785,723,215,277,083,690,557,264,832,675,367,635,709,990,847,
905,750,533,282,021,874,776,538,141,130,467,122,577,028,515,601,490,791,994,
063,170,465,885,744,284,627,689,917,631,788,073,780,703,194,421,411,842,919,
817,266,928,829,956,033,496,215,833,580,939,922,111,847,540,533,917,788,868,
488,126,064,371,092,737,643,627,751,929,788,226,700,308,356,749,771,780,488,
812,473,033,285,400,481,645,063,048,447,808,705,199,037,757,758,080,261,020,
009,980,642,522,217,827,721,093,464,013,449,582,323,136,051,205,401,806,582,
621,982,546,232,605,504,837,172,414,817,298,902,860,847,913,366,814,644,159,
711,700,943,719,605,043,196,392,213,345,441,960,710,544,348,230,762,438,820,
376,828,878,592,587,909,426,378,210,565,620,075,669,234,021,318,676,390,961,
257,228,832,894,211,307,328,691,105,520,470,799,690,841,679,031,295,563,861,
869,699,914,589,083,293,679,713,026,818,646,792,501,334,953,289,111,963,501,
548,086,754,806,465,323,369,872,371,563,216,429,121,571,926,534,905,784,840,
087,789,928,881,628,098,724,828,316,521,646,623,322,654,118,433,298,077,067,
332,006,399,569,769,899,058,444,391,473,171,747,930,740,147,557,086,831,679,
819,216,774,451,064,466,603,025,005,206,208,687,911,637,116,088,412,199,493,
409,321,500,474,264,458,124,071,657,710,204,479,603,262,536,828,697,409,075,
659,376,961,503,242,668,748,065,102,255,100,644,519,582,465,043,082,575,273,
775,580,386,771,950,096,025,972,197,086,013,324,660,229,032,420,227,586,025,
303,559,944,781,524,976,270,958,434,373,288,007,654,224,167,903,994,487,941,
497,788,403,592,331,480,236,951,206,751,019,274,078,672,538,817,151,852,813,
801,526,532,553,188,083,140,540,578,360,805,865,009,501,094,176,909,045,837,
647,300,467,867,626,488,276,987,913,350,413,763,112,163,391,328,653,026,961,
414,429,489,654,733,151,503,711,185,759,277,578,478,117,567,669,695,944,371,
464,482,739,938,061,262,058,087,667,693,456,769,283,749,944,561,588,486,301,
226,516,493,267,057,639,691,077,685,325,521,912,130,654,600,503,446,206,409,
008,014,472,317,042,067,036,658,031,272,991,686,945,429,416,258,776,030,907,
730,035,653,791,569,031,920,019,566,963,790,052,020,492,589,014,857,250,071,
187,154,766,588,606,598,686,626,579,664,518,804,791,774,277,650,900,831,443,
334,063,027,159,649,247,933,015,069,537,378,248,539,395,955,481,258,926,524,
232,249,688,702,400,090,240,409,955,716,101,868,519,067,750,879,670,635,037,
834,190,095,220,935,897,196,707,175,587,050,937,860,931,444,380,449,705,722,
674,937,198,961,446,802,008,183,951,664,880,802,237,307,529,680,171,326,620,
222,230,161,912,827,885,799,442,802,103,059,297,931,939,764,910,212,231,488,
663,145,722,879,518,733,882,715,916,184,077,298,995,910,879,359,962,904,590,
081,964,642,887,694,996,615,227,408,856,395,223,031,652,819,555,662,353,368,
652,186,305,741,723,446,915,307,269,504,156,181,652,526,632,941,153,990,053,
901,839,381,058,488,780,210,300,335,380,535,373,024,081,608,854,014,889,681,
359,699,329,700,572,826,498,128,591,094,644,355,357,710,504,564,357,827,142,
444,541,361,087,959,508,337,862,051,330,381,266,604,625,013,907,903,891,289,
001,406,945,467,878,092,330,161,490,921,741,599,495,704,785,458,888,047,890,
560,761,697,907,042,505,574,546,480,982,905,306,558,626,991,951,891,245,387,
891,221,338,558,908,799,787,170,601,183,907,613,057,708,475,468,055,478,909,
433,327,380,497,086,038,029,530,205,039,139,641,969,676,713,720,204,835,507,
064,038,656,720,557,405,636,033,469,231,018,370,014,226,121,728,020,393,335,
202,420,946,059,297,923,572,602,813,264,356,641,628,504,464,740,131,212,627,
236,774,014,813,256,616,224,292,599,198,410,193,096,300,221,871,527,560,566,
616,872,416,809,108,689,136,865,195,102,797,217,813,043,983,993,308,310,705,
040,419,047,250,503,170,801,221,081,841,473,648,309,202,086,404,329,566,583,
662,938,046,083,309,509,546,499,330,695,584,528,940,958,969,792,876,713,241,
685,318,484,554,404,285,239,945,298,627,440,276,595,371,039,521,374,428,671,
624,263,887,837,611,862,480,507,872,509,430,718,392,568,412,468,419,344,156,
548,785,129,314,252,659,467,917,327,272,006,486,742,327,504,818,826,338,602,
994,996,451,787,155,675,653,330,377,987,439,147,811,223,729,588,089,114,420,
890,780,723,441,990,415,190,799,067,578,612,814,730,848,285,623,312,467,278,
119,559,643,743,312,462,441,031,171,758,116,047,231,803,406,616,875,393,994,
938,787,547,733,203,675,922,123,475,878,100,254,783,176,789,672,824,170,620,
625,999,866,856,350,842,106,521,282,659,102,289,697,452,546,725,114,249,310,
377,904,012,041,703,734,082,260,611,493,111,367,630,729,162,936,491,412,217,
099,942,812,949,199,864,017,748,832,421,284,789,409,336,543,117,386,216,550,
058,703,627,855,693,598,310,614,874,292,295,909,874,693,646,173,340,644,575,
840,471,689,873,228,352,403,586,256,283,409,621,715,089,908,041,572,011,142,
652,156,501,023,809,181,587,248,772,979,771,063,674,992,782,551,977,076,908,
212,393,207,925,238,530,405,469,489,307,017,488,688,010,894,180,733,689,406,
791,263,129,635,111,426,257,804,122,591,102,877,092,966,182,299,761,943,552,
650,479,436,541,753,869,057,607,385,234,256,612,435,105,983,047,623,180,702,
890,190,377,085,774,169,286,244,974,299,271,352,324,957,924,674,849,281,062,
700,708,336,795,380,990,895,675,329,382,496,672,992,924,347,827,806,656,760,
807,046,566,244,846,490,993,450,703,036,761,282,630,215,930,110,864,562,458,
378,773,614,117,192,036,683,227,948,581,472,091,901,931,989,939,037,402,183,
137,292,922,760,143,140,747,708,575,694,794,374,006,072,912,197,552,109,299,
596,017,110,653,402,153,210,522,926,916,688,182,430,171,785,377,896,903,738,
137,358,794,728,979,458,180,077,980,469,053,548,876,446,077,538,161,754,044,
421,353,234,732,813,461,957,746,512,304,573,653,804,948,707,339,246,150,591,
364,762,206,507,900,916,269,654,489,707,113,106,798,877,667,989,418,534,218,
226,778,881,629,582,128,458,732,417,814,528,150,139,684,761,600,626,497,342,
530,333,792,593,542,117,434,859,532,392,133,241,300,752,083,485,996,754,534,
391,465,017,051,859,071,509,320,199,840,683,051,152,154,789,272,421,663,277,
446,520,260,380,137,007,771,893,679,524,696,600,837,283,914,277,354,831,571,
203,608,182,412,008,119,440,350,525,242,594,433,568,859,172,080,563,935,593,
300,467,754,494,805,273,655,621,227,467,703,934,370,764,602,880,918,263,753,
408,146,657,021,015,047,297,260,808,841,181,426,358,754,771,047,379,043,670,
696,943,593,033,144,391,820,855,282,869,628,048,617,572,773,587,201,043,464,
832,905,019,975,758,998,149,554,606,172,253,130,335,212,062,564,146,665,037,
028,296,853,914,509,992,326,185,325,080,075,145,539,085,249,571,199,580,395,
061,442,092,622,238,860,413,760,529,059,830,185,543,681,579,858,264,011,788,
125,234,164,803,950,754,128,891,016,460,684,770,112,802,221,028,322,492,326,
611,573,859,054,155,475,465,720,977,613,394,376,351,110,104,447,031,508,418,
463,293,917,139,955,185,692,354,750,612,297,327,783,315,765,296,039,610,325,
990,191,335,586,024,943,400,885,643,763,181,583,020,981,398,716,906,980,018,
430,090,588,523,660,360,501,411,284,510,281,704,291,773,288,159,385,349,980,
502,056,502,435,740,606,033,127,972,900,082,588,670,441,647,201,942,446,621,
910,386,566,880,145,091,926,685,309,055,710,731,432,213,809,453,553,075,507,
152,549,587,990,044,116,342,303,925,376,084,024,433,610,482,965,541,805,364,
015,779,141,416,463,553,031,394,767,618,190,481,078,876,015,525,553,514,131,
521,626,774,065,557,520,418,714,898,219,805,682,717,654,579,974,924,419,615,
477,271,084,230,129,001,156,353,504,630,835,884,061,278,108,275,175,569,988,
635,885,216,256,197,261,679,148,515,999,259,028,520,357,544,706,926,371,592,
150,645,493,274,329,768,618,793,506,836,074,181,676,024,625,522,762,384,447,
507,321,146,216,661,006,186,151,321,274,180,686,392,744,971,066,622,099,071,
772,336,028,805,250,864,593,643,340,905,460,594,666,702,466,814,504,651,777,
629,795,260,911,373,922,434,959,492,462,105,222,363,361,932,835,489,888,030,
903,634,113,724,788,089,484,056,034,060,935,414,626,300,326,924,502,723,417,
978,910,965,623,779,639,539,567,825,319,427,255,578,698,722,255,797,829,730,
254,999,016,532,194,053,820,463,610,943,075,700,777,245,324,881,451,744,315,
806,933,275,014,079,400,677,939,021,032,097,201,165,573,115,790,238,086,497,
133,237,652,371,454,939,737,988,515,679,223,595,581,346,410,791,539,049,250,
542,137,192,803,033,321,698,197,422,914,192,896,056,796,877,673,015,176,871,
129,357,970,387,666,012,475,612,237,255,665,305,107,542,565,475,158,098,217,
041,802,039,856,788,856,542,869,643,676,708,236,198,746,804,360,400,669,738,
921,884,875,638,737,155,603,387,829,104,910,796,148,146,167,987,810,822,733,
083,893,857,047,286,301,832,449,947,292,091,399,682,953,105,811,966,315,850,
707,455,674,107,131,810,396,703,452,298,796,820,958,877,113,224,416,049,282,
563,503,600,202,956,892,881,176,551,847,483,418,257,016,057,264,337,050,690,
238,385,790,558,528,099,919,589,042,379,987,535,573,101,605,260,456,087,326,
464,113,923,370,049,653,108,041,880,015,932,955,831,635,876,385,805,696,610,
920,154,904,908,414,420,188,562,691,102,751,944,952,717,933,900,329,580,190,
145,502,842,278,861,705,805,427,144,629,197,369,269,137,903,701,279,856,560,
255,859,856,854,345,941,954,934,961,123,043,962,285,926,885,914,234,714,888,
471,093,337,597,081,068,024,102,637,142,649,036,618,653,563,831,042,594,856,
185,529,607,020,914,830,340,324,391,343,177,841,088,781,844,846,784,016,678,
808,088,023,277,135,289,236,384,034,738,316,116,352,806,990,525,436,690,823,
862,752,946,662,829,139,013,836,133,798,404,810,326,674,432,609,498,680,119,
060,633,713,856,158,939,591,926,284,511,301,992,068,994,969,037,069,413,329,
766,607,196,070,828,373,378,563,725,329,810,340,881,998,585,941,386,500,126,
428,159,745,566,670,385,319,710,992,393,163,943,153,909,943,062,945,197,255,
275,585,203,566,371,418,593,646,229,538,897,090,011,150,142,450,999,715,795,
462,796,483,220,599,756,113,990,885,420,555,554,414,998,273,043,487,182,047,
552,105,797,226,393,037,876,108,931,157,806,875,344,077,772,813,487,033,485,
816,095,412,975,451,729,807,128,897,210,180,400,456,265,864,579,871,872,958,
628,324,288,754,262,384,820,704,239,589,121,078,921,260,092,381,425,124,962,
445,592,800,091,350,146,336,289,828,751,490,277,633,940,236,747,706,219,197,
660,713,063,224,225,796,119,798,104,190,845,529,143,956,461,520,611,061,697,
511,579,731,891,926,062,565,996,352,525,909,136,929,809,339,169,636,455,625,
480,954,075,922,577,733,382,922,759,703,756,413,642,380,283,372,133,838,437,
725,306,443,549,901,101,016,198,203,783,607,383,340,362,976,525,787,520,962,
694,704,436,001,607,426,278,711,269,686,294,140,683,100,651,635,689,263,320,
842,794,431,887,621,934,108,897,351,251,161,548,187,737,599,415,494,699,064,
042,504,773,293,756,840,921,371,734,515,940,381,222,876,827,122,763,038,266,
443,351,791,129,672,584,256,102,493,992,227,674,736,430,156,639,028,143,665,
680,170,313,221,673,530,950,194,916,897,927,342,150,227,870,121,301,025,125,
422,255,107,832,131,862,954,741,193,080,447,753,336,774,140,155,316,172,594,
503,979,973,259,676,331,287,706,281,751,906,718,066,091,953,028,763,878,683,
255,276,109,897,036,573,205,740,690,996,343,943,937,798,216,515,683,330,557,
258,632,702,793,744,147,717,378,773,842,813,626,839,805,612,898,055,442,989,
033,805,172,484,269,865,995,420,660,362,768,378,847,406,014,463,900,765,226,
513,081,558,170,113,772,475,732,258,584,256,487,603,141,397,672,265,849,298,
266,596,014,694,386,656,735,409,290,708,504,502,279,083,291,206,797,931,363,
340,890,132,195,091,691,260,071,574,700,482,112,606,792,491,762,018,152,154,
108,146,425,352,524,236,004,422,859,970,751,385,842,073,578,158,948,958,577,
459,527,869,248,294,227,151,191,351,073,718,367,290,225,594,029,442,569,757,
945,136,656,800,576,755,884,894,667,839,445,234,214,429,286,764,545,763,148,
659,482,253,494,754,012,028,412,306,667,652,839,441,655,007,747,579,163,820,
480,676,331,822,387,809,320,915,358,181,573,596,958,134,667,162,908,974,943,
202,459,713,581,487,369,049,307,785,963,744,009,375,507,086,048,454,853,328,
679,132,771,292,250,883,758,609,561,154,383,748,239,169,867,571,225,069,136,
073,618,331,625,122,827,140,508,497,636,204,258,315,369,056,686,452,327,680,
765,930,287,693,375,176,401,791,631,696,806,477,087,850,781,802,362,694,732,
427,768,312,081,422,082,226,716,124,419,680,211,185,168,186,748,364,797,755,
530,731,184,049,649,328,484,114,065,275,249,542,729,400,855,624,169,930,567,
826,549,311,882,036,922,630,870,158,362,622,028,360,870,233,777,152,980,671,
439,604,187,766,869,181,691,377,454,307,177,742,002,370,750,422,344,718,790,
678,280,347,059,161,224,796,869,374,279,111,622,051,367,540,800,108,999,392,
328,948,094,997,469,806,906,080,218,840,168,462,983,407,529,072,096,931,356,
801,193,806,588,499,901,699,706,199,081,547,688,131,732,894,789,201,256,141,
189,379,609,653,866,696,332,980,030,458,158,925,000,957,460,421,616,098,683,
460,500,818,060,925,339,180,270,487,764,802,357,283,073,640,982,236,773,694,
014,532,005,234,682,385,192,404,118,588,895,362,350,548,219,704,675,721,636,
721,506,611,136,200,395,751,868,026,930,877,545,801,244,240,715,591,647,703,
502,116,726,967,743,068,118,072,274,834,452,304,436,295,359,414,153,095,132,
317,016,051,722,754,444,071,722,934,390,621,192,475,991,582,462,279,978,967,
651,542,255,227,388,235,287,276,813,023,822,980,865,175,387,575,859,225,801,
889,046,702,008,551,528,794,264,656,078,678,297,535,070,550,339,725,133,851,
432,058,188,621,243,108,455,784,237,426,337,083,735,321,835,377,301,954,428,
201,019,380,835,394,006,707,788,589,301,006,732,847,333,507,853,684,054,999,
765,618,333,297,421,717,127,847,720,611,533,391,339,916,755,713,424,740,927,
406,830,640,417,405,762,459,850,991,112,602,806,742,137,835,746,759,669,592,
466,901,636,440,078,314,516,852,503,866,100,316,280,992,720,595,478,285,852,
834,686,948,671,184,052,165,380,002,120,509,508,434,038,021,448,983,635,054,
989,761,597,530,455,916,502,312,647,071,875,134,520,994,680,309,993,009,914,
055,290,144,478,840,474,165,158,649,698,592,605,566,233,710,528,849,403,946,
225,938,395,298,740,365,731,288,241,282,624,145,906,093,073,520,262,560,478,
534,476,688,840,393,316,731,379,804,614,907,633,187,237,243,727,855,765,957,
534,764,000,555,006,892,117,598,005,108,613,964,486,225,194,682,285,448,928,
790,273,355,690,361,371,990,361,123,440,118,842,095,781,043,379,145,116,683,
965,191,334,633,528,383,673,073,327,818,635,266,517,407,497,561,340,723,458,
709,959,821,922,604,164,182,117,738,556,953,217,590,744,847,121,816,197,726,
508,794,605,765,793,221,986,794,052,032,191,425,777,422,624,245,908,264,196,
493,578,621,939,793,999,971,580,932,484,469,242,831,375,998,958,991,179,949,
656,548,856,995,416,167,725,160,306,141,971,837,077,403,725,780,059,928,070,
742,947,090,807,792,031,875,232,833,260,519,067,553,605,788,046,802,672,564,
928,383,069,638,202,729,356,640,743,157,924,971,870,011,467,826,541,656,052,
276,946,240,380,899,313,534,502,189,023,280,820,268,431,448,193,089,553,862,
745,258,849,107,382,812,850,414,870,703,408,289,003,337,831,475,814,987,866,
984,229,753,330,971,244,198,632,110,264,757,486,357,059,652,258,448,957,603,
780,227,714,998,799,489,793,594,770,916,889,831,985,406,503,359,585,193,917,
119,663,101,510,106,611,425,459,407,534,683,922,471,163,856,615,467,864,931,
721,026,562,347,045,451,149,821,050,332,248,961,539,994,918,235,721,351,724,
498,887,162,992,617,373,528,630,918,732,743,091,570,860,107,263,094,293,876,
434,985,712,866,877,364,394,200,966,720,553,560,166,513,784,329,179,984,840,
385,025,923,700,537,420,178,397,586,769,080,800,673,089,935,206,018,777,524,
823,458,404,789,940,343,142,113,471,704,502,741,918,838,179,595,123,007,906,
135,600,659,971,297,116,116,967,152,499,634,717,052,348,929,196,396,037,180,
855,269,022,645,032,430,753,804,213,118,232,115,896,390,912,737,019,118,833,
869,527,287,650,360,450,807,248,499,292,283,977,746,077,207,792,901,377,317,
341,822,282,715,300,581,340,822,784,871,192,890,560,934,491,982,384,025,607,
616,427,577,893,483,768,765,861,321,710,705,231,498,202,404,461,055,192,241,
671,749,380,493,888,734,321,670,277,572,007,571,333,417,920,379,334,043,958,
092,068,221,247,772,750,617,447,657,487,113,223,334,396,797,658,597,176,894,
817,017,206,404,132,818,023,647,706,421,322,425,713,042,608,344,678,632,578,
136,229,267,269,550,675,640,742,343,560,720,607,533,711,618,722,280,923,236,
854,485,235,957,123,628,241,679,488,207,591,830,559,491,429,259,715,159,295,
514,121,610,124,580,681,672,212,212,030,730,586,313,330,972,986,792,161,163,
668,653,648,126,403,529,882,599,606,740,814,315,445,240,235,533,852,881,394,
278,810,743,655,122,340,566,053,199,945,760,138,108,571,418,224,775,800,877,
034,188,918,764,559,840,690,531,043,814,994,445,243,194,848,774,577,210,190,
708,711,671,679,541,009,141,234,606,702,049,321,251,893,482,370,012,033,479,
405,447,911,995,458,559,249,770,350,282,989,608,774,268,721,168,617,439,438,
650,641,611,700,737,211,549,517,985,175,428,822,413,820,097,325,933,800,066,
914,991,687,913,031,721,967,117,938,950,260,067,088,602,436,934,650,942,428,
197,796,721,086,311,105,865,866,851,141,441,395,635,597,507,602,929,964,069,
811,315,278,039,198,945,284,845,621,763,801,878,371,372,848,500,535,059,271,
875,206,775,772,930,917,960,126,327,127,016,426,626,022,030,534,951,154,892,
068,824,605,110,936,507,359,940,952,400,620,724,976,873,226,874,182,014,328,
230,436,418,573,622,815,141,106,428,363,252,451,235,468,840,804,971,297,909,
599,819,409,630,520,004,983,533,797,263,947,403,770,198,265,486,389,449,798,
584,072,302,762,315,047,750,430,670,950,383,874,622,314,016,497,588,148,507,
871,914,051,953,344,898,089,182,553,555,807,814,874,492,683,930,235,823,448,
005,191,641,279,152,482,396,659,931,994,113,125,161,100,559,144,535,443,226,
780,752,597,528,755,652,820,535,434,860,782,877,097,953,691,549,783,780,984,
975,575,163,848,561,790,174,080,248,794,461,177,749,143,542,366,578,073,825,
723,146,390,859,843,301,238,050,599,594,195,142,580,328,627,078,745,113,914,
189,810,219,225,354,960,686,888,681,410,647,762,435,452,354,031,729,987,558,
512,358,591,420,638,647,510,201,465,310,427,682,692,037,139,129,409,651,628,
188,913,068,758,708,140,641,737,814,531,301,924,049,421,278,055,421,192,229,
058,004,878,594,725,213,879,060,770,116,380,751,177,141,010,634,759,179,447,
927,408,353,228,404,155,311,842,193,968,570,112,719,234,077,235,309,095,236,
511,975,778,742,584,961,900,409,385,648,006,263,419,325,130,059,159,197,583,
016,938,531,042,410,219,377,623,396,703,602,786,680,952,811,538,568,089,319,
944,776,071,129,670,699,828,352,669,844,188,106,516,489,792,652,726,859,626,
043,975,438,535,917,205,249,024,061,687,884,519,966,427,508,361,007,811,338,
236,570,602,461,791,544,833,647,178,617,388,426,888,910,970,623,592,123,610,
639,394,438,744,277,910,104,411,369,336,308,859,350,461,683,308,151,683,303,
504,140,114,478,951,768,429,314,740,968,865,544,662,416,801,140,391,711,121,
290,571,137,783,444,925,350,407,547,876,699,940,071,589,127,302,239,255,385,
115,656,966,722,036,435,911,175,404,849,151,937,011,361,451,781,112,410,934,
677,675,913,061,287,169,469,202,710,588,624,726,074,534,438,505,175,257,526,
919,940,485,916,159,448,732,233,552,500,881,547,551,774,932,867,835,420,779,
269,954,651,098,181,524,898,109,424,850,478,784,403,203,658,995,698,648,161,
079,466,750,399,546,303,778,444,476,169,302,768,720,351,381,643,661,364,763,
827,301,606,067,661,272,461,500,540,236,709,140,318,448,494,736,156,321,363,
950,483,168,845,965,253,878,793,147,487,103,661,551,054,640,165,729,559,022,
397,477,654,141,191,316,645,298,025,919,686,377,066,425,652,891,046,436,644,
370,149,713,282,393,703,659,511,102,070,547,011,309,080,144,275,481,469,597,
098,186,955,712,391,327,056,364,277,518,017,921,079,536,914,307,550,021,214,
870,861,346,365,231,819,381,395,753,694,492,754,995,615,133,852,235,286,027,
024,142,715,302,657,516,156,307,628,391,075,391,418,312,587,795,345,699,726,
676,688,935,698,465,969,298,733,293,339,878,865,601,769,327,816,681,633,039,
584,055,871,175,673,878,430,051,426,681,867,366,583,228,046,409,047,281,017,
080,556,494,793,711,735,723,835,573,648,749,488,415,807,851,300,964,569,890,
301,779,055,535,921,000,128,646,038,203,290,752,881,242,970,292,475,047,495,
551,422,219,743,651,263,405,129,276,801,568,795,380,905,628,020,837,452,923,
132,027,481,677,864,996,775,911,623,818,066,930,560,611,953,006,532,459,772,
769,108,265,990,358,005,831,316,780,492,129,704,951,940,437,375,316,829,225,
127,408,584,216,360,436,515,483,662,464,508,322,244,269,976,329,183,105,197,
278,791,584,891,826,692,351,542,969,018,655,203,967,773,363,365,739,745,754,
692,265,751,954,932,491,997,793,165,688,686,244,087,390,034,533,212,298,852,
286,887,208,919,380,710,709,136,299,004,201,050,546,809,720,899,586,054,648,
796,206,045,279,379,919,253,597,687,764,375,808,505,935,857,338,673,729,721,
728,007,379,130,197,403,979,067,156,713,718,411,569,766,443,984,303,201,472,
117,885,739,869,689,371,670,765,171,098,762,045,554,625,557,886,625,619,608,
026,202,822,833,871,944,698,629,145,513,250,771,725,530,306,602,929,366,218,
431,900,142,409,451,492,642,203,065,149,096,515,439,875,181,920,605,030,739,
301,897,812,170,261,771,254,379,592,474,714,203,043,000,972,521,223,746,765,
776,345,838,859,681,406,767,734,544,923,619,380,230,373,564,941,236,139,053,
502,748,908,713,808,632,124,967,921,803,561,373,874,574,003,184,381,233,027,
564,265,167,577,616,312,265,129,501,124,328,008,748,518,385,945,839,301,432,
543,889,267,737,626,355,509,278,489,938,491,055,227,367,552,255,087,965,443,
221,943,724,386,850,906,519,434,492,350,272,770,606,801,013,780,763,697,704,
224,309,105,989,300,619,031,981,498,959,251,667,771,313,078,297,678,867,345,
763,223,381,512,987,664,551,168,155,634,646,537,470,856,728,696,256,478,447,
473,855,771,810,542,802,218,818,133,089,601,478,193,837,972,194,055,396,953,
048,787,332,427,921,365,176,849,589,363,359,279,655,895,011,198,545,648,172,
714,694,822,987,555,846,295,078,391,406,415,664,107,571,226,468,300,949,619,
343,897,152,216,296,601,556,016,162,317,201,936,687,167,231,722,358,657,293,
123,858,623,652,194,355,127,138,872,093,609,889,602,486,410,407,396,294,412,
265,396,534,359,726,266,791,029,804,855,969,026,593,867,588,350,977,736,562,
082,080,249,339,288,451,354,735,793,364,840,392,805,025,686,781,673,018,722,
305,852,116,314,812,269,712,312,701,095,100,822,260,161,538,148,158,130,162,
023,089,897,315,155,891,346,032,064,909,076,306,828,066,099,976,866,202,380,
196,924,581,841,656,776,256,420,758,349,774,096,267,174,874,949,114,744,017,
041,723,754,540,591,572,193,735,980,872,751,323,189,102,282,983,737,163,810,
279,377,630,088,083,107,499,377,134,341,531,481,677,722,569,431,471,857,876,
025,815,498,868,481,994,964,729,834,573,354,605,431,057,386,915,744,538,743,
758,241,011,094,825,181,310,972,795,161,368,238,131,591,602,579,717,123,970,
116,913,480,740,580,316,028,388,656,863,425,727,797,645,713,979,692,023,002,
256,365,833,962,903,271,168,570,815,403,408,487,259,398,950,601,922,517,073,
883,020,194,393,209,082,627,301,467,790,992,365,264,081,195,652,153,663,896,
073,064,235,203,174,032,037,974,896,753,026,614,121,241,140,211,695,400,872,
221,300,732,896,169,919,829,581,205,604,703,660,236,874,815,986,907,349,364,
560,363,719,556,177,290,509,818,118,174,413,572,922,333,376,234,863,194,784,
443,269,677,725,256,906,010,701,063,172,872,988,981,066,240,203,570,347,978,
905,608,520,227,386,575,971,288,496,895,491,882,038,306,218,051,652,573,314,
790,282,125,962,778,500,159,489,920,848,934,509,443,776,234,188,023,185,014,
928,737,248,086,155,236,489,906,932,778,809,804,446,637,327,349,220,470,050,
895,758,712,346,008,805,773,325,544,177,654,707,019,324,627,964,708,105,034,
974,555,715,191,639,984,203,352,386,777,036,713,506,548,717,699,753,947,431,
975,121,579,590,152,983,710,666,947,058,094,768,972,497,233,875,819,721,739,
768,948,559,892,846,453,667,576,365,276,682,696,346,728,816,313,658,537,019,
221,391,198,541,269,304,351,610,609,643,808,545,911,232,596,178,425,829,863,
774,931,299,617,244,779,541,052,343,029,313,702,285,036,898,376,736,035,258,
947,125,835,851,546,092,861,524,680,967,942,761,086,188,321,812,106,342,224,
818,625,611,525,296,029,655,141,581,575,847,781,912,092,369,095,668,439,537,
327,676,554,542,309,707,787,458,327,014,949,151,243,397,751,471,719,528,705,
065,043,598,076,652,468,495,057,387,912,720,316,961,844,289,553,919,988,944,
208,531,587,231,853,052,433,410,670,101,188,842,265,132,783,370,339,652,061,
056,912,869,405,651,143,711,219,821,436,792,766,080,575,703,106,721,495,465,
549,174,952,417,101,347,947,929,943,427,869,414,210,486,223,235,642,287,437,
676,432,345,380,924,210,832,202,053,915,011,808,763,113,300,232,755,433,155,
598,059,802,753,026,722,232,727,882,416,736,148,805,437,870,583,896,366,091,
040,576,728,662,300,905,719,233,946,372,552,824,850,676,606,248,161,303,070,
622,021,883,715,288,919,438,370,089,120,532,699,801,293,388,280,150,034,176,
241,841,283,039,111,911,186,398,720,969,907,005,245,616,395,029,482,486,452,
244,038,499,623,482,329,853,918,037,687,021,779,117,385,969,532,695,328,583,
041,465,816,064,992,824,396,336,771,950,988,371,402,886,826,880,705,567,969,
226,300,617,840,401,637,273,074,400,221,283,394,135,617,353,355,547,326,375,
941,693,471,998,724,807,895,540,297,956,472,060,945,818,156,231,710,592,503,
892,727,411,472,910,155,166,435,622,155,706,979,787,158,273,826,878,292,120,
807,357,467,103,406,693,686,211,640,466,724,456,190,842,701,800,852,694,592,
256,668,120,312,313,371,986,611,857,513,420,469,049,923,505,448,399,119,049,
666,536,941,134,521,275,850,803,704,936,928,483,672,560,169,508,478,581,680,
768,879,262,357,461,193,165,110,647,774,996,975,423,223,772,639,214,792,730,
197,834,398,018,288,006,748,405,383,337,175,133,614,358,090,411,771,492,371,
765,411,712,626,039,275,157,862,432,390,958,935,136,908,113,554,308,730,174,
805,057,390,594,559,331,291,256,276,572,362,423,534,001,615,172,239,929,400,
091,833,622,144,931,717,737,205,983,014,181,752,996,561,968,882,020,634,990,
442,788,909,077,425,258,009,664,817,889,618,492,504,661,454,862,686,259,524,
109,435,136,527,428,502,112,920,285,312,008,762,889,855,222,241,572,607,331,
965,665,515,876,784,399,637,355,478,402,052,023,504,223,623,606,665,735,373,
861,974,869,051,667,015,765,343,069,342,698,973,498,252,250,048,514,559,203,
399,141,726,641,294,993,226,021,723,237,035,056,059,945,436,966,849,347,576,
979,539,649,705,036,644,885,321,880,834,795,511,606,625,945,277,577,007,562,
751,914,569,403,725,052,285,827,512,853,002,618,764,924,213,266,333,247,770,
333,338,055,501,982,851,153,336,028,762,858,643,895,369,415,597,274,055,093,
559,711,133,222,793,331,216,794,042,505,361,828,723,732,219,363,816,818,053,
936,004,555,619,711,015,253,580,699,224,259,227,730,701,224,503,941,602,123,
138,471,261,507,474,072,207,519,972,858,094,183,773,140,387,833,098,064,339,
419,700,052,647,532,969,847,222,907,188,490,482,587,210,672,701,111,288,105,
811,956,461,830,130,428,948,054,500,431,662,378,325,107,610,972,421,862,675,
920,344,918,414,351,406,207,100,101,734,942,864,429,085,764,731,489,367,614,
976,161,102,435,562,648,743,017,159,453,201,140,385,383,747,591,567,215,649,
391,301,069,939,474,472,868,892,226,640,883,947,125,521,021,113,013,235,819,
334,830,579,248,510,032,721,604,873,262,766,245,286,553,673,470,126,730,504,
752,347,273,438,233,877,696,729,699,983,506,285,100,848,011,289,274,120,710,
325,467,404,744,600,879,813,438,215,769,243,358,539,061,147,536,829,380,332,
387,179,576,287,888,489,304,380,346,869,601,981,461,297,930,109,665,723,579,
417,095,904,816,150,291,795,683,113,503,287,411,642,337,312,245,950,901,891,
908,482,140,781,425,886,806,814,830,703,249,864,842,476,661,971,130,873,111,
753,886,465,395,148,939,536,887,806,713,151,727,615,549,009,993,938,026,878,
298,339,822,598,195,646,490,516,901,768,644,826,157,022,365,881,860,211,763,
192,591,565,108,360,379,285,549,657,024,917,750,008,285,496,285,071,503,038,
355,267,215,929,173,102,572,965,668,163,023,898,002,958,320,765,399,774,928,
019,781,975,424,411,340,541,715,378,061,510,197,871,887,911,494,069,543,500,
889,646,501,523,093,351,005,334,416,598,291,502,051,400,391,702,898,047,382,
925,626,044,452,887,727,206,146,261,704,940,617,370,202,345,552,506,930,543,
337,032,634,917,528,247,022,843,510,022,557,200,732,252,076,038,967,034,070,
713,914,363,726,577,258,387,074,267,385,560,965,448,640,646,665,494,563,428,
473,878,503,902,344,256,246,378,569,764,770,706,989,909,082,574,006,284,867,
839,288,423,622,681,517,143,654,298,380,112,323,862,757,287,639,082,529,516,
192,303,585,253,856,005,760,746,247,036,314,760,196,820,584,565,836,426,492,
570,674,182,150,038,748,832,430,260,701,147,967,566,570,998,958,832,015,365,
179,943,732,093,488,871,524,422,810,084,099,347,142,064,878,644,191,608,979,
220,912,035,335,519,241,012,535,254,056,547,635,858,629,021,942,004,023,823,
980,306,431,182,133,245,948,005,243,220,766,914,713,499,756,198,625,101,962,
719,938,923,527,458,420,464,117,534,883,075,297,218,186,320,913,622,228,382,
815,974,118,875,453,580,375,852,688,994,644,688,915,457,355,208,281,132,348,
898,252,490,442,916,312,369,716,037,076,554,863,386,317,665,346,016,483,302,
305,766,277,048,552,219,518,888,184,832,559,530,315,791,144,264,776,683,593,
143,035,597,367,092,140,741,264,510,472,058,655,365,384,739,709,564,006,815,
657,764,772,439,211,988,142,503,953,670,174,264,167,168,336,199,246,712,306,
303,018,850,656,144,933,726,242,368,395,294,802,930,504,093,145,594,335,466,
361,538,533,837,144,828,408,258,871,798,374,464,641,897,133,283,720,029,131,
703,388,585,983,180,510,020,560,496,832,948,381,076,512,197,694,385,088,353,
516,032,568,651,381,675,997,431,841,398,047,657,818,639,948,484,720,381,296,
259,401,974,340,439,867,112,413,037,332,810,911,293,639,710,900,142,037,296,
951,869,882,437,970,317,556,354,556,118,607,441,931,801,960,608,357,278,577,
955,370,688,802,344,273,378,143,070,492,825,591,949,523,665,285,913,328,758,
198,688,792,923,351,927,303,961,784,139,306,756,102,610,532,255,671,469,609,
515,522,666,122,625,803,356,058,694,843,207,306,420,455,348,894,222,803,254,
933,853,719,834,979,209,663,372,380,016,345,123,615,766,787,998,715,391,273,
175,986,441,376,990,287,328,640,734,148,087,349,129,024,153,924,923,655,015,
525,979,189,217,564,466,371,961,513,149,220,721,045,949,705,397,691,714,071,
640,287,496,444,448,078,450,436,363,265,660,247,220,844,027,810,053,315,052,
368,014,130,262,677,599,664,743,156,556,223,225,684,048,831,889,209,234,272,
749,336,285,546,780,481,021,295,442,349,332,194,723,392,165,213,614,549,446,
232,702,885,082,364,504,743,887,028,558,721,909,958,496,733,207,093,694,478,
127,755,879,320,933,679,059,269,887,426,786,422,134,200,721,765,831,321,576,
727,929,204,381,787,149,276,792,541,359,347,816,731,957,207,629,632,024,631,
993,544,025,210,885,200,638,694,962,937,253,686,237,374,960,334,088,939,388,
626,765,361,929,851,775,039,339,908,989,924,093,300,552,859,043,860,121,555,
339,835,625,470,599,100,634,135,694,057,938,004,848,736,104,160,944,016,770,
309,611,639,681,505,323,426,482,102,818,312,129,151,404,325,014,110,886,822,
122,530,384,145,070,394,390,890,186,590,311,538,556,475,191,739,564,141,398,
840,911,455,337,839,749,957,949,295,347,496,794,532,587,547,270,449,240,448,
498,387,968,069,307,006,159,911,519,843,610,359,243,230,194,473,928,410,985,
587,649,675,871,402,981,886,946,514,337,321,348,471,634,182,308,318,953,484,
253,496,272,579,399,087,496,496,032,091,870,758,421,056,777,164,600,770,325,
109,448,730,880,110,679,732,822,603,998,381,583,903,090,577,898,553,896,257,
046,619,008,973,805,702,304,000,023,204,307,320,554,890,543,684,756,040,353,
529,549,043,501,143,698,457,130,009,842,717,020,100,009,321,092,070,352,966,
502,687,885,365,866,727,780,535,727,259,304,094,034,643,420,428,294,977,017,
311,865,847,493,607,007,403,240,353,400,156,003,646,422,901,112,200,047,071,
206,852,501,793,229,220,425,162,279,196,549,520,268,701,743,260,829,438,758,
469,669,647,273,822,898,373,416,969,336,282,793,202,516,379,586,773,924,889,
990,978,354,665,555,829,027,606,706,914,745,756,306,202,887,943,905,777,635,
664,360,046,932,527,531,517,442,438,631,293,346,570,798,619,667,507,911,819,
594,425,676,105,789,502,916,897,555,149,528,878,627,631,661,267,736,520,894,
185,123,588,438,028,485,504,465,476,538,567,244,632,181,357,198,892,633,608,
548,392,220,255,249,426,216,020,903,656,240,133,387,036,476,566,203,826,664,
687,440,047,607,488,572,039,546,364,758,587,156,660,194,627,106,083,420,562,
441,683,575,273,423,177,519,694,789,552,304,983,278,121,117,676,491,164,432,
686,585,822,553,402,204,136,483,922,306,440,177,890,473,477,692,013,484,209,
676,986,808,945,787,564,656,540,693,429,851,252,613,928,350,214,079,578,504,
096,293,655,787,130,816,598,961,380,055,223,282,186,838,883,489,404,936,012,
499,157,512,011,985,828,167,380,213,209,505,679,828,792,774,969,701,782,662,
409,110,458,375,690,487,850,681,641,194,381,575,030,808,854,037,449,133,969,
303,501,879,646,545,241,689,766,688,003,506,647,970,633,409,123,731,138,878,
299,582,940,789,923,705,323,265,981,724,912,948,171,274,756,733,505,391,638,
465,114,803,400,060,385,900,341,193,780,522,566,614,630,650,241,928,331,872,
413,571,481,730,169,894,267,640,048,953,710,333,640,701,204,884,903,523,399,
157,244,062,618,165,872,039,225,823,109,363,297,761,826,483,846,480,010,572,
308,243,870,579,995,431,055,316,076,347,882,620,047,133,081,993,817,932,650,
978,191,715,267,562,700,107,922,714,736,720,494,386,064,255,065,849,911,386,
016,763,188,427,303,122,543,368,502,610,945,901,322,074,845,420,429,259,260,
330,077,912,623,621,601,417,001,253,481,906,754,850,697,692,051,756,231,342,
473,082,612,630,282,851,181,448,666,194,532,676,906,722,148,177,395,659,932,
434,914,389,948,195,879,439,880,010,419,894,292,578,964,704,513,938,414,521,
151,541,403,718,301,705,568,074,793,785,048,240,595,721,555,068,814,141,962,
515,573,287,320,988,113,955,662,609,760,211,735,706,380,733,561,121,086,892,
068,981,570,366,763,876,810,589,283,980,946,039,376,153,209,632,046,279,277,
944,644,102,101,549,346,479,833,514,146,434,332,732,259,701,519,964,844,158,
831,725,418,291,310,540,400,003,302,156,195,574,526,567,014,143,286,194,240,
009,113,513,287,900,919,816,218,324,521,847,652,945,313,083,717,364,023,594,
347,214,090,605,824,704,682,545,610,474,178,718,834,840,933,471,076,265,249,
259,400,093,288,933,674,845,620,188,969,841,868,363,683,817,989,898,053,906,
371,265,428,161,658,628,641,891,573,382,796,880,691,459,140,250,561,276,528,
631,054,845,475,105,471,002,057,416,048,481,073,343,651,119,367,947,319,623,
754,572,174,503,261,833,154,295,349,449,510,769,344,350,350,797,468,935,022,
731,853,310,365,358,779,876,034,819,355,331,500,415,151,468,877,553,706,753,
841,268,779,566,226,827,800,781,252,769,982,170,513,084,275,650,341,586,204,
454,334,538,475,453,653,791,494,360,175,825,621,338,217,375,739,915,294,132,
702,552,134,191,611,965,676,694,054,654,476,091,578,195,292,608,621,865,792,
908,656,957,606,615,928,385,818,515,836,148,424,274,916,642,733,617,217,674,
116,526,873,424,683,484,494,520,700,028,077,510,090,303,379,776,653,520,204,
270,137,840,226,231,340,127,732,458,736,085,775,120,750,279,602,335,514,522,
170,485,685,404,214,590,756,326,446,952,271,612,708,870,507,838,206,853,611,
905,564,851,888,396,950,585,064,591,586,524,806,217,591,892,407,098,524,655,
603,968,561,107,118,256,482,948,440,901,288,825,718,328,810,422,457,337,056,
667,284,713,745,251,029,225,061,121,972,922,349,317,709,188,899,188,106,791,
746,903,393,242,410,649,376,085,361,408,581,068,175,296,835,074,467,815,394,
049,900,625,504,765,813,965,802,205,470,503,228,074,673,226,775,996,520,260,
395,881,441,779,220,806,313,331,218,782,229,169,591,651,576,074,922,898,664,
387,830,735,114,234,105,147,498,820,864,719,735,068,602,072,216,070,414,866,
194,258,177,828,092,658,567,987,160,018,166,257,243,538,992,442,235,124,452,
661,265,236,837,301,295,469,425,144,770,410,584,741,332,618,983,690,022,422,
385,585,425,193,714,161,570,047,848,446,712,555,152,508,767,704,381,137,218,
127,994,641,925,697,995,369,357,138,302,080,588,053,327,002,120,688,210,241,
133,073,377,898,710,143,289,397,114,313,231,851,612,868,323,617,574,035,220,
709,317,387,622,542,883,299,895,911,335,448,696,945,306,565,804,779,104,873,
499,651,494,615,945,312,056,581,520,528,174,725,296,747,922,303,515,059,969,
880,811,780,672,537,406,167,455,956,004,444,499,083,234,942,008,092,341,836,
171,125,665,157,254,355,473,409,243,820,063,143,896,178,927,856,909,873,911,
170,665,159,535,388,569,949,675,702,767,596,639,960,762,479,721,354,807,554,
756,888,156,574,841,333,556,334,625,876,253,491,159,120,148,994,955,931,043,
055,509,755,165,520,327,777,091,583,849,344,477,835,820,248,015,054,467,414,
457,046,039,054,196,302,285,702,529,670,142,969,315,232,998,258,806,216,523,
895,262,158,870,001,204,023,549,584,266,182,221,504,023,840,439,974,680,906,
322,542,491,002,858,854,294,073,201,874,081,621,834,316,596,552,316,094,373,
395,761,520,317,052,032,417,363,918,876,044,320,932,701,816,347,054,377,264,
977,279,017,173,870,263,364,962,553,978,578,503,714,417,532,897,924,312,338,
819,477,722,908,386,384,953,512,367,210,536,224,676,229,228,075,390,169,973,
545,147,818,882,097,174,789,152,725,851,585,523,074,584,515,233,678,777,106,
871,894,089,677,740,434,375,070,799,528,012,720,290,898,267,138,470,656,714,
399,748,323,290,005,169,236,649,411,425,759,951,117,885,964,286,507,196,861,
419,609,276,564,764,466,119,143,057,945,592,758,632,455,105,090,669,685,944,
244,927,174,422,020,031,948,069,993,037,730,550,470,619,330,382,962,788,337,
004,042,371,953,945,235,495,615,611,946,246,525,691,809,972,172,690,645,906,
277,151,933,741,584,975,575,136,395,837,722,517,550,652,071,666,841,568,171,
436,655,445,766,705,646,470,719,754,779,501,982,440,549,166,617,458,153,606,
536,440,780,308,462,796,987,039,799,708,393,089,966,265,855,666,975,886,523,
399,578,748,017,755,529,314,982,293,624,103,707,386,169,118,369,235,568,731,
080,987,181,740,200,157,389,360,858,710,264,441,735,027,604,279,324,379,543,
490,246,698,829,811,866,876,064,079,611,898,359,163,648,762,705,627,008,894,
042,372,037,552,214,757,580,227,008,440,885,625,709,415,363,692,724,137,024,
574,710,063,259,462,103,430,054,248,761,791,175,363,300,106,313,202,804,929,
541,478,588,549,808,899,573,952,973,999,536,214,798,987,248,823,472,497,849,
799,484,174,430,203,738,698,645,549,583,736,728,984,491,441,466,193,015,807,
239,498,526,092,435,146,709,258,014,166,456,043,606,528,007,584,830,470,357,
377,759,700,116,502,549,309,864,442,033,018,710,901,678,452,759,947,125,527,
860,140,899,508,373,168,624,808,362,100,606,418,557,688,132,151,936,772,523,
028,487,323,479,068,062,684,213,216,228,648,064,958,945,021,422,635,697,819,
552,570,052,076,372,941,796,022,841,589,176,974,518,638,162,067,785,958,662,
063,591,017,884,674,553,899,203,305,124,233,603,937,861,097,860,090,585,814,
697,814,671,255,285,308,775,982,179,548,641,889,935,404,784,822,985,146,529,
979,321,248,465,057,613,069,281,434,527,588,824,921,943,328,830,118,041,322,
241,695,897,882,892,692,454,002,146,130,137,968,443,802,048,868,774,141,177,
121,283,793,330,082,904,861,111,788,914,405,353,278,384,264,270,558,757,479,
370,657,548,406,596,280,563,847,688,037,073,293,909,987,688,077,268,808,578,
651,357,906,550,200,529,128,899,825,012,317,302,253,705,205,252,220,553,469,
264,184,564,640,011,435,070,440,790,286,965,126,772,095,074,199,962,016,658,
425,475,651,189,894,246,841,175,483,448,411,438,296,910,644,817,284,784,807,
388,085,253,968,933,664,730,872,928,944,264,121,220,909,617,874,551,697,243,
798,668,981,794,174,746,748,657,261,074,515,717,691,217,473,134,497,169,163,
760,227,047,332,956,814,742,494,391,141,646,063,950,366,987,369,960,763,109,
972,554,859,521,074,734,584,662,685,020,803,527,321,685,751,758,418,159,873,
898,399,645,966,931,554,845,926,327,889,805,187,848,967,294,266,019,166,140,
782,048,022,602,067,987,125,096,696,490,062,913,205,707,062,231,385,941,622,
068,098,652,813,463,774,113,568,221,267,820,359,929,122,208,119,322,229,907,
661,705,250,423,273,554,746,581,074,849,499,442,758,695,270,322,337,158,263,
040,011,277,651,695,784,243,859,923,138,482,217,943,891,168,629,373,705,338,
999,426,112,221,249,698,042,644,622,385,949,166,731,072,460,062,428,657,509,
383,963,109,783,601,935,206,243,113,042,445,142,843,867,709,484,848,895,654,
539,757,435,135,992,295,643,433,813,308,192,880,743,584,798,313,363,759,367,
046,453,677,600,152,778,354,916,523,541,301,925,817,744,559,676,737,527,895,
058,804,565,707,586,070,643,946,753,235,142,820,436,101,490,513,317,262,253,
443,205,901,765,727,263,166,240,569,607,243,339,375,075,853,374,546,002,053,
391,002,167,035,888,959,157,253,987,910,292,824,275,063,830,245,253,082,209,
137,038,872,223,404,672,011,577,622,257,690,557,852,461,250,590,860,052,935,
512,568,563,896,877,263,111,060,034,360,019,364,171,280,100,239,228,197,116,
881,477,707,922,964,531,454,852,653,641,615,310,821,613,219,864,960,505,686,
627,047,645,566,369,227,105,342,827,143,705,858,116,058,247,636,283,341,977,
884,871,141,584,921,680,226,839,231,162,692,829,494,934,244,249,598,290,135,
172,074,314,644,932,349,815,568,965,792,774,870,331,216,902,323,485,394,663,
941,682,890,577,127,220,043,209,214,719,747,120,919,209,904,880,692,035,165,
062,669,702,652,860,812,017,177,501,880,493,049,782,578,895,538,646,949,734,
478,735,392,094,988,278,703,160,608,041,556,436,947,547,875,767,306,054,116,
424,858,835,227,872,629,260,334,205,885,585,726,732,657,417,759,083,969,215,
924,824,812,939,379,270,763,081,185,392,201,565,027,657,776,006,864,082,445,
556,055,346,448,365,077,249,187,708,645,870,765,268,394,610,351,293,936,353,
301,802,447,615,289,517,041,175,567,268,174,497,350,201,015,168,048,896,255,
439,305,648,135,190,776,114,496,704,557,453,843,656,267,568,677,006,026,884,
937,917,032,770,207,755,519,735,536,879,271,702,699,049,744,288,870,800,013,
626,781,096,852,342,081,493,710,905,221,581,856,734,265,155,054,831,442,360,
469,921,135,551,168,224,408,137,658,016,445,512,209,078,158,720,414,266,325,
954,142,965,047,539,820,725,108,461,937,829,525,940,799,117,910,448,418,699,
214,730,504,620,541,433,419,180,874,569,928,204,298,465,090,745,500,171,331,
916,682,205,595,481,515,898,757,569,492,786,174,918,531,422,419,995,449,331,
843,029,978,785,775,226,722,629,157,939,134,422,357,262,442,157,446,172,357,
390,843,604,102,345,556,432,163,055,998,199,330,003,434,671,171,031,293,252,
477,390,069,861,077,817,469,580,679,990,987,549,715,402,638,434,014,186,491,
182,040,287,664,767,410,150,789,514,183,249,269,983,321,941,419,254,158,917,
127,433,716,737,553,029,426,517,455,983,873,560,663,822,655,638,411,808,776,
983,313,929,611,668,464,232,563,005,918,103,779,562,490,803,390,891,327,620,
260,413,719,375,570,619,580,465,851,071,192,874,303,303,666,208,702,973,452,
255,544,919,398,526,437,260,922,954,981,538,324,236,090,522,569,921,718,406,
568,047,236,672,706,052,685,973,654,507,249,621,248,796,119,683,883,381,066,
104,054,407,275,274,307,963,285,197,963,321,205,450,480,327,091,802,929,617,
672,141,649,582,574,133,844,007,876,769,668,728,581,758,341,294,155,536,787,
952,565,962,914,678,690,377,659,157,737,840,121,185,563,739,482,684,718,499,
981,328,872,729,072,873,802,748,325,394,131,853,067,549,076,944,314,865,100,
317,181,769,762,643,121,191,577,496,444,083,188,213,135,706,327,765,064,682,
571,409,162,393,771,988,584,369,547,390,647,847,164,314,178,656,065,816,967,
295,630,380,031,252,816,099,954,392,323,806,134,560,701,679,656,231,324,925,
270,637,883,481,056,170,940,390,044,315,438,616,218,811,131,213,636,176,731,
089,008,179,066,808,537,749,020,258,830,171,948,157,359,875,551,860,980,672,
131,944,747,873,561,708,715,977,721,360,252,115,632,581,022,948,696,950,822,
687,928,495,415,528,128,683,063,999,485,425,752,241,576,337,734,911,344,569,
448,053,219,929,475,009,490,928,198,807,324,771,314,706,875,007,816,341,861,
976,153,686,233,845,535,136,996,992,232,891,511,004,190,395,888,032,005,447,
975,084,133,204,458,293,980,689,005,558,490,693,687,740,927,830,420,373,524,
380,193,539,535,562,695,398,967,569,603,497,694,610,036,918,599,517,318,507,
159,477,527,949,033,781,466,446,470,037,733,555,427,664,300,738,294,499,618,
364,177,743,207,833,388,505,221,021,700,611,056,951,816,045,606,163,818,542,
174,638,490,225,575,654,753,165,476,062,459,207,339,730,790,233,564,943,308,
665,111,846,314,765,790,683,812,384,159,257,914,548,706,538,283,223,275,570,
333,676,560,092,351,221,599,295,709,457,851,501,293,405,850,984,041,468,528,
732,805,538,147,234,773,187,558,224,467,253,535,168,446,492,741,695,854,531,
282,164,378,726,040,718,167,727,096,346,220,120,846,617,470,660,290,984,086,
987,809,867,162,678,682,610,072,503,314,632,758,149,589,744,637,570,434,194,
312,946,511,798,536,029,979,419,322,143,463,024,695,277,691,315,002,438,709,
686,062,280,915,914,190,444,316,782,894,428,455,112,773,595,263,444,970,853,
361,843,112,023,417,195,177,635,441,141,622,885,197,941,889,934,037,092,992,
129,120,597,047,594,714,462,106,753,295,588,154,369,994,847,104,729,078,023,
741,017,026,585,997,774,086,687,040,762,777,930,300,807,808,038,984,313,268,
058,077,659,786,268,934,428,238,502,429,246,080,316,881,366,504,001,068,312,
566,628,878,146,858,370,074,034,897,963,101,214,579,321,167,729,821,571,261,
317,387,348,353,403,966,603,527,910,890,496,108,041,596,891,293,856,231,195,
921,250,031,787,158,549,947,663,537,938,514,064,474,037,020,919,301,838,468,
335,675,825,343,064,147,259,196,033,506,561,702,605,300,259,843,467,891,387,
646,373,675,237,488,744,476,217,394,012,400,260,121,746,479,542,237,423,874,
303,352,582,512,081,779,247,724,141,639,918,771,543,003,385,310,372,484,866,
623,088,435,161,605,006,409,232,603,880,856,678,732,239,026,472,981,032,758,
051,946,349,447,968,597,419,684,058,644,624,840,620,245,314,221,576,662,189,
678,914,704,273,408,498,530,243,900,009,607,435,356,014,470,708,333,662,442,
143,341,489,688,090,713,823,395,866,864,634,370,939,822,078,120,305,639,673,
232,281,593,148,940,254,906,223,893,441,255,043,873,178,042,833,128,361,591,
830,467,976,062,909,748,381,628,289,858,911,891,113,353,243,325,013,401,711,
982,380,836,874,193,221,736,761,185,466,024,277,501,681,413,749,573,413,143,
048,141,396,789,990,065,133,830,182,593,068,646,382,801,017,945,965,281,266,
799,611,614,786,478,137,644,299,378,723,090,803,194,462,593,261,139,884,144,
640,796,571,264,320,260,232,507,564,657,342,818,890,584,846,572,559,242,942,
774,338,492,715,875,284,498,133,886,786,939,471,460,913,750,662,013,707,471,
819,391,158,311,745,698,617,312,417,224,151,306,851,810,022,469,955,785,642,
839,970,077,552,319,564,069,074,050,357,148,435,941,343,365,255,158,679,750,
931,320,275,770,822,880,701,183,081,766,675,998,461,088,983,243,798,146,555,
013,826,531,584,423,007,361,825,754,511,933,215,726,645,298,490,379,265,742,
536,365,191,420,038,869,436,479,484,507,023,098,429,370,153,882,488,967,137,
219,557,927,601,125,806,203,411,502,518,105,404,457,381,530,488,192,781,681,
625,033,968,822,062,324,630,783,206,139,772,684,133,286,096,222,732,011,538,
900,449,288,108,319,849,940,793,213,720,490,290,409,167,943,218,852,700,970,
068,534,920,495,161,253,862,655,069,746,225,583,120,966,021,143,802,311,556,
990,633,458,118,746,870,543,175,630,485,389,579,456,914,010,178,541,400,077,
555,115,692,871,425,101,105,845,935,060,949,102,580,209,259,520,225,317,226,
171,542,805,878,953,455,951,065,759,204,541,400,754,901,735,898,277,105,022,
234,130,083,916,772,423,402,227,353,775,408,016,339,528,329,645,656,042,483,
882,656,818,917,019,316,979,571,621,932,184,946,896,772,754,655,996,583,021,
033,732,102,000,759,566,736,637,391,691,669,618,919,960,699,623,137,571,902,
006,604,029,370,703,406,093,351,552,215,338,019,024,968,514,872,775,774,070,
534,937,965,496,235,830,100,081,814,128,944,172,704,262,592,459,070,371,844,
451,901,724,645,609,235,307,000,101,294,992,002,679,048,377,693,499,324,426,
795,222,158,667,258,032,775,497,844,912,056,568,124,466,933,171,623,686,317,
981,706,321,486,795,174,823,540,359,810,140,248,346,617,558,924,238,154,900,
551,056,267,290,434,598,198,014,070,295,795,975,638,476,555,467,524,087,815,
720,144,231,178,054,735,970,549,197,529,536,263,913,313,365,859,382,058,825,
114,014,022,451,388,595,993,784,918,545,803,178,188,657,631,445,190,162,483,
252,324,019,862,479,494,966,171,009,799,622,865,117,844,222,157,442,263,114,
725,943,940,046,837,507,379,987,191,947,157,259,392,772,926,008,148,522,759,
925,984,663,426,989,774,977,698,959,371,936,841,812,445,717,696,159,887,399,
045,703,703,612,267,318,432,081,252,548,975,925,774,086,039,545,468,687,811,
788,199,524,317,801,354,570,083,382,585,078,810,855,940,336,464,297,542,895,
614,936,467,417,328,854,940,447,850,536,722,860,673,183,231,631,517,952,753,
944,344,502,499,897,626,556,783,537,347,158,207,916,496,102,751,049,279,355,
664,873,711,308,378,512,956,447,130,042,913,010,736,306,064,938,533,965,220,
567,623,763,624,805,886,452,573,522,674,453,488,403,258,154,194,811,998,966,
973,999,298,953,749,284,240,718,832,055,604,599,190,001,015,898,320,232,880,
931,246,315,607,649,097,730,594,118,996,157,970,742,974,264,221,053,928,238,
373,978,853,959,177,952,623,560,859,885,180,221,051,133,924,829,772,389,058,
343,508,462,365,254,480,679,296,162,071,582,915,904,180,860,106,718,763,294,
027,701,034,958,028,497,217,815,862,168,268,457,932,805,727,403,652,843,601,
473,933,035,072,646,480,072,643,255,370,134,590,835,666,340,723,840,107,019,
667,464,965,597,785,625,077,053,821,784,575,946,790,078,406,198,651,636,770,
710,847,561,402,120,501,994,216,894,086,069,331,990,773,123,177,179,856,489,
168,577,221,319,612,074,598,219,592,004,504,529,759,838,704,499,430,936,195,
746,374,885,968,274,451,341,808,563,354,722,622,072,741,768,196,068,017,984,
397,589,374,988,639,068,552,558,189,704,344,471,978,767,439,317,197,004,139,
500,312,816,167,866,516,625,708,961,100,569,489,645,591,018,469,543,833,085,
471,702,081,642,243,356,766,934,589,202,037,895,866,880,101,686,704,938,020,
234,395,789,076,929,738,775,863,610,103,080,610,655,789,043,501,200,249,887,
067,660,680,487,951,386,170,212,482,785,750,705,267,584,190,423,064,737,027,
862,741,358,413,559,688,004,095,944,159,728,902,148,886,233,473,776,964,386,
824,154,021,856,059,809,937,038,083,138,569,839,889,523,017,435,110,429,519,
589,798,421,679,346,331,035,674,642,879,458,103,273,679,299,089,380,708,405,
499,496,231,186,309,191,061,071,474,805,030,865,906,877,127,455,343,115,390,
176,910,756,735,153,382,530,872,237,450,265,823,026,337,542,765,585,677,071,
089,643,118,267,908,794,807,795,787,354,341,123,514,057,446,867,954,045,063,
190,087,936,470,340,556,764,526,070,316,130,437,732,944,594,872,018,395,396,
407,694,265,278,302,211,392,471,596,808,513,421,727,386,594,195,249,805,582,
423,957,670,715,457,695,147,018,876,038,733,303,320,000,983,261,089,005,654,
779,713,640,533,616,897,900,410,104,678,720,631,096,055,985,602,174,318,065,
875,480,068,536,012,910,105,893,732,461,385,271,475,444,879,810,481,806,199,
011,072,181,498,802,361,938,062,554,564,329,008,739,314,094,695,300,690,692,
063,411,136,677,905,831,958,182,013,318,733,164,088,091,061,596,070,978,148,
004,103,073,366,453,774,842,631,178,160,682,806,643,559,164,113,380,094,624,
262,495,522,652,666,789,974,253,141,683,155,829,924,391,821,368,168,752,313,
440,412,286,485,293,486,685,872,972,819,401,568,081,788,351,135,926,618,364,
340,158,677,539,668,093,710,987,138,469,802,220,731,908,158,766,903,801,606,
868,126,468,480,873,235,622,362,410,070,508,701,603,888,593,494,262,959,851,
716,282,481,955,990,924,208,638,609,344,191,044,684,009,583,146,392,484,006,
172,077,026,378,971,521,567,215,620,530,939,083,437,754,295,544,987,405,755,
333,949,236,566,104,033,556,412,973,421,571,843,428,541,865,968,444,968,925,
980,628,928,868,462,438,995,992,318,166,035,450,570,040,941,887,699,602,860,
405,321,749,033,303,932,345,584,144,227,201,650,509,318,714,986,780,652,613,
296,251,156,135,081,670,014,724,108,278,057,660,549,950,676,865,448,830,458,
179,204,823,975,115,646,549,727,884,268,929,621,680,877,319,525,243,720,739,
038,294,461,810,048,505,796,339,090,749,167,000,389,218,918,580,872,432,033,
836,907,460,182,117,061,289,091,987,743,753,912,932,061,898,393,196,200,142,
856,396,383,744,625,701,231,953,244,116,025,610,802,481,786,440,054,688,661,
103,885,327,322,198,902,306,724,789,150,476,721,577,987,523,843,153,533,952,
384,431,607,845,572,056,220,347,676,364,048,518,456,823,087,329,816,423,668,
071,169,310,757,172,127,482,398,405,698,080,090,624,002,636,337,311,791,503,
737,964,385,901,991,938,783,930,967,307,147,464,354,643,063,088,328,389,112,
742,624,284,702,182,806,816,578,895,109,920,390,940,634,662,199,354,436,499,
300,379,185,978,503,522,098,322,386,144,020,633,313,150,186,593,677,800,799,
587,725,959,670,675,884,800,125,046,798,958,264,642,813,347,305,351,395,761,
245,235,783,160,380,766,517,168,788,118,955,099,495,271,697,738,351,783,874,
351,767,275,510,944,289,258,293,814,382,963,921,927,983,907,884,239,473,996,
939,078,539,433,544,430,574,921,233,919,016,259,175,875,165,289,621,531,359,
020,159,105,522,174,404,629,215,433,384,907,354,069,139,354,091,272,032,533,
647,924,555,469,895,343,142,890,034,995,414,796,755,512,451,244,333,277,009,
011,634,478,083,261,260,255,857,016,731,758,491,451,307,219,080,769,618,443,
324,349,753,841,183,998,602,056,133,952,747,637,944,370,490,678,215,741,666,
998,458,454,044,533,623,528,373,898,779,817,845,663,518,349,333,792,294,241,
859,416,755,551,460,611,587,643,857,100,104,300,119,084,981,367,368,190,291,
323,056,011,667,836,947,167,651,383,088,723,941,049,261,824,893,174,515,725,
584,871,637,259,502,190,991,786,500,082,175,227,024,811,973,435,042,203,402,
704,448,117,858,499,456,876,161,844,546,226,426,768,307,679,749,906,458,758,
177,599,641,781,068,992,584,665,254,838,612,058,241,622,123,926,117,845,457,
820,613,644,616,713,874,103,463,355,378,242,658,501,466,467,606,673,791,281,
725,863,907,590,093,578,084,311,809,113,004,045,189,291,515,713,637,806,450,
934,690,169,414,872,959,513,380,316,637,367,256,544,038,528,338,984,640,426,
898,683,024,975,730,331,545,099,782,270,648,408,839,133,645,397,897,810,100,
627,666,536,316,507,983,671,482,699,162,595,621,701,013,320,126,187,456,773,
999,342,339,751,702,256,135,759,099,559,222,062,186,741,706,951,442,669,814,
142,129,081,367,733,424,886,339,431,696,008,850,794,579,459,226,433,254,440,
125,334,911,487,754,817,246,531,129,457,338,348,914,866,980,643,935,018,062,
389,335,563,334,831,590,810,765,522,761,769,365,784,780,813,130,976,806,665,
716,124,777,389,333,991,040,372,851,710,653,437,833,908,893,757,941,649,780,
442,297,812,699,638,662,051,824,922,825,929,475,528,546,383,820,024,289,124,
183,809,627,752,521,926,492,228,888,810,168,329,385,507,958,249,638,564,933,
386,890,974,098,474,530,371,280,129,826,448,719,727,943,297,960,515,756,824,
199,798,114,071,546,084,764,294,619,132,317,933,785,450,724,811,602,961,871,
261,218,676,797,870,844,399,262,926,593,629,734,417,327,047,045,492,115,548,
605,694,356,927,597,203,628,056,238,496,272,415,986,927,761,289,694,380,184,
594,571,611,308,819,505,233,634,855,258,168,353,516,395,245,157,647,632,559,
319,493,156,715,748,601,313,117,414,244,002,485,921,662,534,676,000,751,610,
610,988,587,893,738,267,489,425,513,445,165,809,188,053,201,384,588,005,650,
190,015,145,915,261,047,601,738,973,589,173,402,235,700,661,407,144,320,653,
671,605,235,720,497,184,863,257,749,631,016,338,664,626,764,771,593,730,120,
330,570,377,222,809,654,373,493,085,745,925,304,122,286,916,006,736,353,721,
511,447,694,687,508,640,832,477,378,040,987,296,827,274,997,877,713,386,194,
341,812,033,643,268,603,801,872,973,836,011,724,714,343,456,606,504,301,897,
330,581,010,838,650,863,157,605,836,175,434,632,336,527,775,617,720,198,873,
442,760,790,387,174,817,407,722,992,018,867,093,402,164,548,315,651,471,242,
938,895,164,910,478,302,157,357,410,639,661,078,528,327,973,512,936,997,586,
290,991,452,201,918,348,739,898,039,017,036,778,945,098,160,217,111,172,108,
298,127,140,041,353,650,968,377,846,243,929,066,796,623,015,780,910,408,296,
615,283,053,705,425,843,951,922,840,121,184,173,281,761,434,051,803,366,208,
366,586,822,385,554,307,777,202,796,395,945,857,552,626,347,323,862,013,548,
627,876,944,240,849,012,506,804,641,409,241,002,817,748,650,719,708,158,568,
859,593,324,010,032,146,486,143,187,553,284,128,100,281,341,797,785,575,258,
878,381,673,957,035,521,826,471,038,898,005,498,373,923,113,534,506,104,867,
717,018,121,192,788,450,877,566,324,328,529,039,979,358,103,777,280,942,949,
952,358,691,502,457,207,821,224,983,956,079,474,932,223,296,557,530,000,146,
124,641,524,978,044,114,596,196,297,706,530,477,902,263,328,648,248,763,976,
240,404,272,564,089,545,479,208,944,162,880,632,393,334,954,712,635,482,970,
746,326,016,440,220,998,065,875,737,698,054,877,985,262,546,270,800,837,452,
530,596,317,204,979,578,912,127,510,419,991,006,385,057,266,964,104,031,962,
863,393,910,286,551,567,345,552,032,093,079,607,640,288,348,471,622,796,429,
431,252,119,032,037,237,418,230,334,258,056,069,459,762,683,185,397,007,679,
720,896,701,682,098,033,396,974,518,028,445,067,092,316,194,381,657,144,271,
935,798,549,946,746,498,884,439,235,384,914,707,616,969,488,369,288,619,482,
152,938,080,476,866,375,432,165,822,469,037,941,495,506,678,166,292,446,635,
645,508,865,399,284,591,409,356,548,553,191,324,689,133,709,571,844,623,816,
949,803,834,655,849,573,152,905,311,523,543,884,946,347,853,368,265,823,039,
674,774,775,017,717,599,849,014,195,875,939,631,559,128,661,839,414,035,876,
346,604,035,595,829,525,598,583,321,814,540,816,450,071,857,746,041,231,679,
948,829,708,502,983,462,402,600,102,391,553,875,419,972,149,094,233,581,266,
406,067,596,194,581,522,941,378,389,746,502,260,432,389,193,036,168,659,217,
279,508,796,264,619,213,298,739,263,081,236,754,505,891,284,469,623,419,494,
731,228,202,648,832,057,991,407,478,324,152,049,513,796,429,564,254,964,413,
677,191,918,972,499,015,220,775,071,084,894,430,767,711,156,432,732,619,673,
571,386,062,226,753,140,539,954,443,037,836,044,084,013,583,298,941,213,856,
415,863,759,740,275,286,172,674,864,263,858,336,276,253,585,678,544,877,435,
165,239,958,968,662,756,717,169,726,121,363,872,023,682,982,415,309,301,626,
934,584,871,720,832,846,343,018,587,677,127,786,533,503,078,882,334,189,441,
396,676,290,170,350,129,769,404,355,708,680,928,943,816,777,317,351,283,535,
069,408,036,284,623,799,612,615,704,501,531,794,019,361,283,177,163,909,359,
958,033,449,014,749,880,181,283,022,506,335,064,940,018,870,323,128,685,302,
895,020,428,144,874,502,510,834,338,354,223,558,847,731,524,504,557,505,466,
832,884,195,246,550,514,964,728,109,483,171,024,306,537,056,094,580,377,164,
256,672,031,657,645,669,282,276,197,967,034,383,461,541,988,206,984,274,976,
066,913,457,202,732,611,121,851,687,344,261,559,374,940,243,244,247,999,401,
488,904,184,549,340,584,422,459,343,886,909,591,072,623,011,896,112,490,583,
062,450,902,645,814,665,604,473,097,500,413,686,232,939,543,274,347,758,087,
860,333,491,512,561,833,224,259,838,525,528,020,641,979,341,794,638,501,230,
262,691,620,251,658,029,435,661,238,444,084,174,959,508,840,091,801,917,709,
493,292,091,267,771,446,676,102,405,306,153,402,325,145,112,637,607,162,814,
169,979,487,582,743,961,031,154,721,719,877,350,400,645,677,677,104,191,569,
384,352,603,642,984,749,362,282,119,106,370,736,090,989,676,934,322,076,435,
558,689,812,216,546,131,528,583,538,123,841,585,211,514,487,669,847,488,795,
774,890,223,639,488,391,042,376,438,460,496,845,025,272,932,610,964,219,175,
096,794,852,229,074,816,568,118,649,750,276,174,337,203,316,088,965,753,703,
042,043,952,482,363,585,992,170,374,803,306,200,095,024,270,167,715,437,473,
082,763,996,682,340,517,947,334,618,460,070,791,219,491,822,560,051,163,770,
329,154,654,189,435,545,311,359,079,343,900,400,188,369,027,754,192,331,910,
143,578,939,337,840,787,972,998,547,501,129,271,668,440,540,038,123,933,187,
743,541,174,256,418,018,538,651,601,186,773,365,513,778,163,853,505,833,341,
363,805,854,901,049,398,635,194,731,574,678,397,954,631,802,150,039,059,371,
510,674,583,694,500,815,859,803,846,480,249,198,946,219,788,778,775,052,903,
650,502,532,426,591,620,584,141,107,586,853,867,235,939,297,153,799,873,143,
799,974,026,600,398,633,193,218,449,799,123,783,518,526,603,546,441,227,081,
712,307,911,516,295,959,943,957,627,399,844,168,075,095,972,774,344,354,786,
904,562,077,503,090,678,575,361,282,675,540,684,042,136,522,073,491,201,300,
683,443,712,221,074,719,837,388,240,738,555,600,386,224,794,173,355,614,266,
661,227,404,883,263,260,789,274,400,621,814,314,530,735,084,199,479,743,565,
460,830,352,007,289,659,252,473,414,012,602,335,350,544,904,202,453,088,507,
834,587,232,014,580,983,598,036,258,993,988,605,465,095,057,108,488,599,243,
636,037,224,786,308,211,594,143,020,034,716,766,020,504,607,281,806,124,454,
927,920,767,932,864,849,558,976,141,044,142,772,775,677,252,942,615,920,019,
780,666,538,084,136,772,633,259,326,122,581,083,526,817,374,041,634,949,132,
882,329,659,988,329,908,695,501,548,106,116,985,014,808,331,208,437,716,431,
583,855,478,727,950,104,397,811,451,508,887,897,316,313,636,169,615,185,328,
858,930,108,734,098,640,361,465,167,190,448,374,012,002,201,763,910,508,122,
022,660,591,334,225,116,355,690,598,835,063,429,009,927,683,406,999,789,836,
957,865,583,476,358,311,657,301,132,674,967,615,177,169,293,159,575,716,591,
957,794,698,303,151,205,427,290,840,986,879,399,521,243,875,745,566,593,748,
483,198,684,652,484,743,623,045,163,191,155,430,304,269,139,979,353,608,234,
109,276,623,638,748,627,993,121,155,243,684,554,423,130,094,606,429,638,365,
783,234,373,325,068,087,873,552,669,885,528,107,440,145,022,253,436,200,735,
532,419,620,553,673,073,066,286,973,138,712,167,131,954,160,744,332,271,062,
676,350,922,555,594,188,405,208,782,170,607,682,056,399,758,267,097,983,865,
041,766,076,214,344,170,131,538,719,573,357,847,943,834,856,879,243,284,945,
643,641,279,595,890,939,323,060,278,438,854,700,735,643,922,381,573,456,294,
597,045,884,236,069,244,674,194,489,175,302,764,768,147,511,739,512,067,149,
806,114,792,902,183,364,986,471,065,028,339,556,741,976,374,325,865,072,851,
972,937,694,906,602,326,181,834,703,464,147,955,674,345,782,101,272,428,095,
830,857,044,627,959,870,114,238,767,516,675,267,457,614,474,999,733,118,182,
625,593,322,349,868,605,020,694,392,067,908,451,483,730,209,401,527,309,235,
944,815,021,450,437,606,721,593,500,609,794,599,748,555,957,631,443,720,045,
042,585,106,768,315,152,829,378,182,394,994,150,543,495,721,634,049,073,879,
601,915,098,288,301,092,776,247,139,446,632,062,827,491,586,690,187,395,132,
123,703,795,127,774,815,282,248,358,715,717,217,510,891,153,459,124,662,144,
646,009,531,344,208,829,505,468,439,784,338,531,465,549,407,241,738,788,800,
843,697,120,044,684,519,503,967,235,298,300,896,207,833,467,900,961,131,195,
736,882,646,179,810,278,140,336,015,284,863,567,713,572,629,296,498,881,010,
944,044,029,622,765,015,265,069,756,779,867,959,604,576,853,501,744,605,024,
403,741,153,359,224,542,026,038,955,336,124,266,192,580,648,710,812,634,013,
982,281,302,441,092,448,313,795,542,912,204,595,696,023,263,166,409,500,837,
792,577,573,100,121,889,261,587,894,915,984,136,543,142,537,840,436,477,683,
911,877,167,019,224,341,584,736,553,334,976,339,535,502,019,779,538,123,468,
386,308,745,995,326,694,491,891,836,798,798,976,689,697,868,016,201,330,347,
957,084,775,112,746,217,334,681,631,287,790,499,931,188,786,938,573,917,214,
307,279,400,868,138,989,868,695,408,142,955,330,134,160,348,743,668,217,293,
760,540,620,996,500,167,490,499,022,802,328,809,623,056,391,977,186,350,342,
596,594,785,373,325,778,424,062,862,895,712,835,622,631,348,507,805,783,514,
150,939,852,877,218,508,999,421,638,127,584,573,647,923,760,761,198,111,312,
987,332,620,641,400,633,337,840,666,448,009,533,939,073,587,892,346,001,812,
952,598,175,721,390,523,223,232,489,113,357,153,444,052,571,248,150,040,239,
776,198,936,157,921,201,230,137,707,325,137,229,343,920,809,127,323,904,484,
512,666,718,682,290,445,037,702,860,202,205,059,010,157,349,281,883,651,889,
478,491,754,040,200,913,897,216,757,260,931,459,326,402,102,880,375,605,037,
664,930,258,916,431,494,222,331,598,874,366,859,031,493,782,816,126,083,360,
021,046,684,533,583,476,578,328,622,743,673,134,429,608,801,107,533,034,886,
355,718,564,571,362,977,099,053,214,486,131,018,393,459,815,157,789,238,871,
813,602,938,301,586,054,867,933,711,219,623,275,601,047,584,433,918,380,009,
537,639,631,976,178,280,950,549,859,395,109,319,199,053,759,828,498,773,032,
529,325,527,500,850,889,778,399,992,628,709,691,711,448,303,495,212,923,626,
466,388,585,120,759,612,226,507,276,400,262,583,916,970,506,147,359,242,471,
129,137,821,525,537,586,633,972,054,832,105,192,563,661,829,714,356,018,623,
706,412,168,161,730,312,096,834,906,467,063,726,495,342,175,899,123,680,513,
162,969,796,133,069,507,900,516,689,987,740,114,797,377,337,530,838,416,326,
738,141,026,837,277,966,575,073,140,286,458,074,717,100,082,509,141,070,734,
220,557,701,468,294,824,673,930,165,709,213,923,267,051,187,413,803,763,615,
956,273,949,934,445,489,214,719,968,008,526,576,996,218,376,617,818,437,556,
664,841,610,641,325,098,975,228,204,013,817,828,793,897,256,538,299,070,593,
256,431,758,300,615,981,873,844,738,683,417,704,247,132,738,899,442,246,415,
426,778,271,440,966,382,992,222,886,592,034,109,828,752,229,298,370,264,784,
790,898,821,931,615,431,431,963,630,161,592,738,397,711,118,683,978,401,828,
705,076,671,409,392,274,723,403,764,514,686,157,691,452,639,636,110,455,277,
493,861,245,041,132,697,850,503,325,628,799,560,150,156,063,459,761,772,896,
259,291,679,907,998,563,110,835,314,761,561,784,488,552,197,182,086,357,355,
282,414,523,046,292,726,359,544,071,659,021,907,424,294,686,978,398,277,273,
402,864,319,685,155,347,163,389,595,855,958,411,177,675,607,032,676,337,075,
823,349,409,256,362,967,691,328,907,595,967,002,891,531,876,321,981,473,215,
030,628,581,146,937,967,121,812,500,176,279,927,407,690,174,272,803,966,366,
734,068,189,081,567,806,423,028,745,068,968,521,620,834,560,436,397,181,892,
833,664,556,199,454,374,610,923,368,924,639,228,472,598,201,066,720,208,181,
959,205,391,537,395,907,984,957,099,034,518,131,046,074,780,151,991,274,643,
951,447,352,765,352,108,188,546,331,422,980,011,600,827,342,982,781,144,805,
482,620,015,017,693,836,491,102,442,793,265,265,999,757,694,206,205,900,896,
608,721,687,817,762,446,045,431,764,181,675,362,894,795,130,904,228,256,909,
263,428,648,455,463,339,244,634,566,705,884,287,006,002,883,618,891,612,034,
062,562,916,618,679,452,849,042,336,546,420,458,596,619,257,950,986,560,478,
617,391,231,934,781,495,925,934,769,821,692,260,934,086,893,076,287,812,115,
390,838,939,528,113,161,824,995,862,801,012,186,083,566,020,761,241,227,624,
498,428,845,148,249,613,185,208,670,521,276,220,719,449,878,686,168,231,371,
305,908,001,866,031,967,872,378,292,426,804,411,823,307,501,193,995,636,291,
884,790,454,473,649,735,122,056,418,900,555,117,325,328,010,963,493,275,619,
448,110,113,357,058,926,022,475,090,372,625,092,630,727,822,454,132,687,503,
174,449,336,345,628,507,058,744,182,426,699,582,669,186,890,534,155,994,038,
477,618,353,993,628,413,612,185,026,792,691,094,098,226,275,900,830,332,542,
858,384,266,790,723,575,228,797,444,684,204,570,179,041,279,065,239,846,014,
978,664,210,412,243,197,770,631,775,908,357,108,008,300,799,398,567,911,630,
359,954,322,110,423,945,685,040,028,954,730,969,894,661,103,039,871,504,431,
162,423,542,365,592,000,690,699,812,143,505,953,189,872,914,199,106,650,504,
138,460,608,704,379,639,777,324,732,614,905,377,324,765,087,661,962,203,399,
806,644,216,679,871,896,405,707,676,663,051,445,282,531,963,551,212,270,254,
173,642,802,390,147,784,396,080,948,087,774,038,899,680,134,208,709,694,734,
150,220,069,558,463,603,954,436,100,571,419,626,307,749,269,589,983,758,999,
221,693,444,746,137,487,659,050,764,146,845,882,380,291,864,948,165,847,810,
703,799,324,406,944,487,533,046,330,302,468,101,790,432,224,941,647,587,849,
914,738,449,520,025,966,137,102,367,461,407,017,464,895,515,834,109,114,022,
912,104,063,025,696,031,025,615,479,332,827,913,231,192,827,490,314,618,809,
766,900,083,887,771,199,253,752,591,257,151,550,670,976,572,302,154,829,476,
191,914,300,865,583,444,462,417,980,813,232,758,258,874,514,810,396,411,129,
396,851,139,219,880,212,248,697,631,245,710,540,577,367,638,085,094,326,215,
724,025,869,580,146,380,753,214,999,551,510,472,952,216,601,735,659,417,461,
368,721,828,414,792,104,518,872,544,054,886,937,348,193,955,254,384,425,043,
305,271,008,925,720,732,758,464,502,970,498,360,031,909,497,657,985,664,082,
601,331,668,944,143,204,191,518,721,809,619,172,763,999,174,995,975,036,219,
403,092,366,914,830,893,917,740,702,262,599,138,173,202,774,462,824,602,334,
926,075,558,664,919,767,705,120,061,875,844,526,900,634,242,419,020,545,360,
881,807,213,519,551,151,330,049,948,117,649,523,020,707,872,329,411,245,413,
299,455,309,216,287,968,644,986,243,618,566,579,044,630,668,662,573,809,489,
649,245,917,995,801,057,147,787,804,186,106,859,221,060,281,229,037,546,158,
522,095,648,843,354,946,234,842,591,951,982,315,552,253,113,168,580,124,539,
460,531,972,656,145,254,364,396,493,479,557,065,340,470,912,083,595,760,253,
202,845,170,750,107,369,710,733,638,360,953,512,979,623,298,989,623,666,059,
437,418,951,411,059,945,922,655,661,817,571,968,206,559,021,729,228,981,168,
426,325,226,352,361,929,812,068,528,068,645,373,405,234,254,841,618,284,587,
466,747,813,266,179,669,594,601,448,297,367,062,495,167,375,971,105,320,393,
941,788,589,079,787,668,321,309,749,208,421,242,478,616,467,688,343,770,132,
601,294,183,599,908,638,039,010,172,837,398,179,780,447,416,470,093,572,846,
427,405,611,554,983,843,069,156,066,624,069,858,401,393,147,634,041,493,696,
536,787,586,764,264,171,774,304,899,823,140,014,570,998,206,687,651,645,753,
467,874,373,006,895,370,115,970,317,179,141,608,101,811,884,326,668,065,178,
079,469,466,004,066,872,989,830,825,805,400,023,646,472,403,624,270,887,242,
613,827,614,028,937,228,972,781,357,854,302,246,744,699,907,873,225,304,864,
549,090,800,718,317,274,997,971,303,735,414,480,383,030,789,124,967,120,400,
078,872,514,601,032,565,714,338,204,783,219,826,423,774,382,421,632,866,130,
713,339,604,662,260,965,967,885,658,857,405,793,892,466,930,776,178,115,018,
325,409,334,897,255,942,581,476,165,318,900,487,995,029,184,443,752,109,852,
868,465,040,303,375,101,674,190,957,952,656,927,519,740,233,883,950,783,293,
306,650,048,461,030,366,128,784,009,192,768,669,785,783,993,851,540,032,110,
846,893,047,207,105,156,344,552,583,386,873,223,751,377,058,677,646,346,200,
525,001,385,711,907,523,204,823,106,622,917,144,194,115,426,706,348,887,520,
954,895,089,892,892,569,018,160,866,153,443,900,558,922,781,823,574,544,742,
910,782,194,512,948,130,900,865,223,047,060,673,787,872,354,884,347,181,164,
992,667,383,249,806,894,418,877,743,652,381,763,054,444,191,946,733,915,492,
413,715,261,242,147,009,153,367,784,348,088,294,585,402,954,983,652,231,308,
436,725,458,268,723,876,092,727,617,368,805,132,837,011,564,719,940,175,590,
883,163,798,059,018,078,696,288,905,597,703,687,658,869,472,459,843,910,066,
009,237,673,481,742,313,420,322,450,608,088,725,181,675,740,934,088,769,337,
588,318,273,100,865,930,412,407,366,982,099,150,436,257,464,139,540,923,838,
112,051,043,729,695,436,945,750,539,828,815,908,457,205,525,622,967,018,182,
520,364,215,150,328,322,890,906,698,371,428,442,261,237,931,904,530,664,440,
988,416,711,563,356,378,254,609,082,560,542,030,767,525,566,640,341,415,263,
841,270,124,777,466,255,893,705,742,696,947,514,963,556,775,888,820,948,359,
106,643,474,035,246,081,006,157,715,722,234,566,925,478,685,360,473,407,548,
465,199,692,892,196,144,006,517,406,660,111,164,262,353,384,722,534,829,852,
618,722,253,835,890,028,082,710,440,742,747,877,242,293,459,544,653,744,649,
874,257,239,330,593,850,153,711,096,574,304,707,059,525,040,294,891,372,860,
265,873,554,145,238,121,279,864,334,351,351,403,055,659,980,568,022,400,274,
889,955,348,489,988,524,023,312,714,941,988,532,633,176,929,080,795,091,888,
486,434,732,395,304,727,119,585,444,354,229,671,850,823,922,873,865,214,777,
792,848,456,664,778,523,632,949,315,100,645,471,511,715,687,546,906,075,448,
751,702,591,890,015,872,531,169,033,546,120,948,180,469,532,591,266,426,016,
964,092,338,999,117,999,878,487,140,511,006,790,105,554,066,688,450,038,952,
704,826,665,275,262,404,433,847,493,474,682,761,335,352,654,660,210,908,973,
127,005,919,919,078,332,278,340,733,996,745,443,728,632,289,684,088,159,865,
514,450,223,418,836,662,774,878,431,442,189,345,500,941,001,932,724,380,765,
925,814,109,068,512,471,718,861,843,508,318,411,195,951,652,946,881,280,737,
565,970,510,724,270,435,479,680,573,272,676,556,335,090,261,117,621,014,037,
456,923,551,658,196,272,122,715,750,100,301,913,321,347,024,985,792,726,714,
914,627,232,717,489,621,537,162,880,618,671,718,963,574,595,359,334,783,595,
304,918,465,712,739,425,646,026,539,330,046,219,684,076,706,467,386,440,845,
690,660,630,562,378,493,923,519,601,812,434,081,948,308,259,435,687,019,273,
838,297,104,824,336,371,659,596,266,069,584,826,557,758,938,352,777,816,882,
626,003,859,653,361,824,956,011,692,992,769,536,708,903,032,655,014,044,781,
873,045,433,316,107,174,770,876,342,593,057,182,905,145,494,401,727,507,254,
329,641,008,779,104,123,442,307,465,455,094,041,582,206,944,096,778,882,782,
103,703,754,635,815,446,228,854,208,883,536,682,201,672,300,210,186,770,203,
971,405,204,048,505,860,085,403,226,532,533,778,938,759,459,599,867,281,111,
520,709,954,424,666,692,183,666,620,730,433,906,975,090,801,777,202,993,909,
967,941,418,569,283,632,771,252,355,780,757,175,642,728,727,451,158,160,711,
044,360,969,265,228,419,629,282,051,516,626,368,463,846,546,619,137,132,767,
131,693,183,464,641,406,926,800,167,574,790,770,683,583,140,090,057,454,858,
603,499,856,345,625,179,854,114,600,132,800,160,230,121,296,447,334,671,525,
790,217,821,479,753,741,864,931,468,640,975,679,651,451,987,862,483,270,108,
227,831,914,271,768,247,303,378,114,654,431,099,397,541,183,594,162,145,370,
844,795,861,977,714,276,900,715,022,946,730,649,494,142,503,716,326,273,249,
834,410,213,656,922,253,528,332,703,187,090,461,512,949,586,322,909,997,242,
862,673,609,501,266,499,520,363,328,753,824,826,072,384,549,291,082,057,751,
222,529,437,168,308,449,426,252,517,586,856,308,193,202,248,533,217,431,204,
908,716,281,926,892,350,259,892,717,381,927,357,083,705,185,897,165,023,908,
868,064,532,130,425,865,323,169,031,777,220,038,353,089,221,157,775,181,402,
793,306,793,635,137,220,853,737,389,054,747,056,288,116,316,915,040,866,347,
323,699,077,170,595,440,168,187,206,208,402,790,395,770,019,819,315,095,546,
411,587,602,221,373,979,956,712,165,257,784,668,363,471,259,995,283,434,729,
478,559,914,550,336,806,038,703,007,585,379,682,102,287,680,739,051,320,826,
805,814,930,183,648,243,444,984,107,484,793,954,330,554,271,963,310,346,055,
916,840,873,382,028,321,791,777,576,734,701,902,498,984,644,094,584,000,682,
338,388,216,572,812,218,819,965,875,696,336,796,871,382,434,536,673,359,594,
966,836,521,967,322,798,907,095,851,302,376,104,029,752,046,341,179,215,580,
567,878,798,498,082,944,687,792,482,965,448,878,471,823,656,714,501,098,652,
160,838,264,268,627,460,239,832,092,766,549,322,858,947,245,740,782,148,978,
414,023,964,574,161,482,672,283,967,941,006,693,744,784,521,709,950,948,405,
393,854,480,765,586,463,890,008,022,021,416,803,791,095,009,292,663,673,547,
917,156,549,181,672,490,921,087,341,151,705,591,336,890,131,803,056,046,912,
474,329,387,923,696,205,105,460,009,468,732,958,314,353,306,683,629,505,680,
648,961,698,527,792,208,022,539,426,603,645,412,036,182,064,131,272,279,620,
321,031,659,027,165,019,795,416,818,084,949,493,553,857,237,959,843,827,023,
204,798,155,756,750,816,449,778,368,499,283,070,149,445,712,598,952,079,154,
762,048,175,714,152,459,238,165,732,734,922,250,759,820,900,009,728,419,759,
961,792,745,195,261,699,230,566,270,932,810,071,214,953,015,544,112,664,099,
180,705,248,108,666,141,817,087,350,026,207,059,365,439,030,233,698,115,289,
644,914,298,196,163,439,363,566,314,780,396,743,998,728,292,325,004,894,904,
206,868,690,795,556,547,194,016,685,089,796,286,824,498,535,651,035,746,406,
838,090,787,349,541,335,784,748,977,123,277,621,812,989,779,316,618,393,398,
802,652,501,190,987,104,537,106,577,457,634,319,495,925,211,614,113,980,245,
219,186,359,413,675,075,415,381,021,568,020,381,909,293,441,843,486,455,368,
510,264,718,914,039,409,736,184,673,729,331,947,066,194,781,690,590,218,824,
178,310,977,756,914,450,332,722,833,660,698,716,825,659,511,333,361,723,257,
121,423,316,325,537,499,384,515,048,688,601,837,454,441,028,443,841,550,583,
068,268,589,377,433,508,246,712,282,312,353,430,287,675,441,362,022,930,944,
235,194,635,889,953,115,292,234,956,490,569,301,079,040,856,180,338,512,992,
728,135,250,131,438,180,126,299,067,027,369,977,573,855,000,041,446,770,517,
317,410,518,461,720,330,691,533,093,936,498,195,421,165,108,191,290,786,533,
584,847,957,979,775,235,077,619,993,204,127,169,903,735,496,571,297,451,050,
944,832,121,223,213,974,707,129,632,102,975,779,702,001,303,805,113,508,739,
280,390,905,065,117,213,075,026,642,053,393,631,093,052,662,493,570,191,579,
580,929,911,433,397,909,691,557,373,427,215,733,270,271,270,359,340,217,460,
514,291,487,889,558,762,491,426,986,803,492,660,905,951,766,309,915,918,980,
851,536,827,745,856,335,293,649,309,870,521,444,731,145,395,826,149,498,666,
104,363,632,755,150,363,742,688,486,811,005,564,490,901,199,468,958,260,770,
442,595,597,996,303,831,289,618,283,794,768,971,258,658,991,268,995,160,260,
802,556,349,362,360,691,475,978,531,147,864,608,319,592,427,145,633,168,848,
213,457,526,758,996,480,261,985,698,488,755,523,577,988,957,559,337,502,017,
197,629,373,993,215,071,602,271,115,536,849,844,257,088,103,380,698,308,251,
672,579,653,679,076,724,331,980,130,389,385,455,119,969,222,569,242,361,954,
672,365,024,319,872,117,256,207,344,709,187,993,580,505,978,069,195,041,826,
188,443,412,992,109,688,534,618,868,172,410,774,122,300,605,444,271,786,880,
313,094,395,118,539,658,031,077,241,572,269,604,234,922,723,766,428,883,954,
803,177,422,879,204,924,890,275,877,731,497,821,763,920,453,652,981,463,254,
059,060,617,217,243,624,405,319,695,456,655,113,543,182,017,373,069,204,575,
793,565,097,272,635,066,149,586,534,266,094,392,687,785,846,613,289,565,544,
870,412,109,113,864,048,390,499,322,825,039,435,447,858,734,133,046,050,254,
949,148,177,459,748,167,921,097,161,741,244,903,425,032,665,936,421,378,043,
378,516,251,578,178,001,679,385,181,960,243,342,417,127,469,101,123,018,947,
888,977,579,232,385,693,775,954,464,457,459,021,316,287,650,760,971,639,884,
154,573,674,198,087,118,752,151,532,792,802,731,775,254,732,918,577,832,778,
766,444,762,781,341,403,722,353,232,223,922,600,464,949,766,738,752,578,170,
604,931,601,140,776,965,527,202,675,937,267,235,144,667,524,137,920,431,785,
000,417,031,597,332,968,583,577,005,859,760,101,527,580,943,318,207,457,252,
354,053,522,340,029,817,296,821,946,967,857,484,721,947,559,747,269,520,863,
217,318,513,642,228,377,408,398,882,468,812,776,368,439,743,882,512,537,215,
226,440,360,215,772,279,966,062,275,061,699,235,477,399,405,520,909,412,388,
682,922,625,917,127,168,443,336,371,726,393,074,375,305,330,527,652,240,157,
652,671,448,930,222,678,928,821,185,087,609,724,618,275,816,354,944,140,943,
010,352,618,425,410,113,296,432,357,032,806,000,041,569,022,990,828,199,583,
226,648,591,199,619,927,444,257,169,957,163,726,985,622,855,627,512,018,934,
684,480,265,020,584,346,841,349,853,932,708,807,740,742,549,739,410,875,002,
156,065,921,739,918,062,557,739,848,789,265,568,730,580,270,637,807,944,784,
684,143,989,657,469,151,989,357,782,801,531,900,646,178,000,917,948,543,650,
971,529,893,845,107,077,767,893,783,237,298,729,600,988,514,749,344,252,486,
112,037,600,515,389,008,012,792,754,127,850,091,809,203,871,965,873,140,365,
084,427,193,949,362,862,160,965,298,013,051,462,794,654,276,786,853,423,417,
658,191,082,912,404,719,623,471,205,250,981,124,064,850,178,596,646,991,238,
477,756,040,114,076,880,747,315,791,381,386,902,068,173,148,146,325,705,249,
762,319,863,532,410,524,832,684,103,529,306,609,878,507,612,394,932,950,694,
001,356,233,058,047,044,710,979,160,706,330,515,245,267,105,534,538,437,831,
116,874,545,826,886,534,733,129,040,504,749,474,318,606,335,086,916,596,402,
511,127,566,297,065,955,616,079,106,413,472,711,192,035,978,434,072,440,469,
409,117,953,080,568,613,884,074,363,217,181,589,148,559,753,787,074,909,967,
540,306,397,190,563,256,434,451,783,893,287,462,088,066,401,019,086,431,079,
857,798,619,629,852,644,288,901,815,857,549,863,812,704,525,081,927,876,757,
158,086,499,449,300,853,453,734,517,692,751,528,144,581,659,069,868,503,833,
319,233,597,215,729,071,305,703,727,048,114,913,819,517,289,692,193,491,991,
574,103,996,933,884,265,262,170,346,231,225,437,224,186,799,793,035,969,942,
311,906,187,168,028,484,001,377,483,365,818,270,808,790,652,971,398,139,771,
818,501,150,663,408,476,975,400,304,020,882,901,349,692,056,609,143,629,622,
079,318,117,070,844,585,251,551,323,116,700,536,012,763,105,187,138,523,293,
866,811,019,404,068,034,238,311,257,408,339,511,510,718,941,689,900,112,337,
295,258,213,748,051,562,619,919,521,027,981,211,721,950,774,344,714,823,008,
284,550,064,982,676,021,318,834,035,862,098,702,009,733,006,689,029,861,645,
929,290,311,383,213,904,869,619,541,351,856,347,882,636,366,491,432,150,584,
095,669,893,799,363,606,362,721,994,373,928,987,252,460,873,866,207,583,177,
549,191,324,895,401,676,075,667,560,801,452,931,486,257,954,313,718,087,557,
665,523,161,157,886,093,758,822,618,960,675,620,269,787,874,035,859,341,450,
780,778,929,358,808,410,349,637,900,583,961,949,855,279,257,028,622,711,674,
253,609,015,195,676,148,222,585,226,812,352,938,384,840,296,145,301,647,862,
980,414,207,571,018,034,236,004,296,509,619,991,861,772,898,719,585,757,067,
783,142,938,457,561,877,602,321,409,790,161,641,257,224,533,666,270,487,658,
366,470,003,633,339,870,484,689,506,827,005,583,296,932,135,136,298,244,790,
710,757,694,909,351,988,625,660,576,646,058,873,703,447,586,979,582,747,680,
795,542,262,113,479,499,938,680,372,875,897,330,001,834,631,651,280,022,669,
601,967,855,371,081,909,566,444,813,118,322,706,239,569,172,172,181,590,449,
636,042,675,211,310,900,593,097,604,771,694,444,104,416,606,618,735,375,828,
609,059,302,783,383,844,065,460,404,231,621,028,159,319,945,713,574,382,567,
575,490,305,394,614,009,600,696,350,692,578,387,977,482,220,878,455,718,181,
863,972,378,318,333,855,253,618,549,238,641,754,367,156,805,192,377,031,231,
659,832,037,853,976,062,743,262,921,777,642,256,391,085,661,681,028,524,898,
413,738,758,624,131,956,255,220,798,814,228,192,166,243,859,086,371,284,365,
934,908,952,436,872,515,043,620,599,344,605,755,691,675,975,984,962,714,614,
386,536,239,317,121,237,974,263,912,694,458,689,323,020,292,132,559,012,614,
501,334,238,397,619,075,149,743,482,437,329,033,975,551,320,922,499,566,226,
555,076,690,981,163,480,457,327,965,639,317,036,028,438,097,280,458,620,351,
688,446,313,539,150,430,446,669,720,556,709,506,827,772,961,614,645,790,110,
275,846,314,167,185,090,593,916,550,575,269,331,863,679,552,720,927,950,003,
928,406,247,258,555,840,149,274,068,752,200,673,276,172,973,115,507,639,965,
013,131,578,614,723,090,348,893,900,788,361,140,020,597,860,957,976,587,109,
722,634,915,348,167,095,507,722,073,788,767,157,591,100,348,732,632,346,981,
974,427,602,234,420,953,842,717,674,333,061,960,177,453,950,859,202,144,020,
696,311,899,126,700,364,175,134,500,392,675,879,856,034,225,505,129,474,948,
092,072,396,805,986,323,372,339,167,791,131,213,223,928,738,674,636,087,212,
651,777,223,314,461,478,279,335,556,062,109,926,951,206,918,786,537,680,937,
189,914,140,294,609,873,630,884,371,025,506,683,218,854,302,943,090,969,250,
507,246,073,178,982,701,790,563,669,777,039,543,783,560,897,378,539,227,846,
084,471,336,545,166,227,028,157,239,421,726,990,087,023,051,633,265,599,495,
347,216,891,894,458,798,554,632,148,118,888,924,734,942,612,780,344,480,961,
495,013,244,433,238,161,515,267,567,245,377,529,754,268,664,687,252,326,610,
729,249,718,144,747,834,314,230,326,193,494,165,864,671,109,608,613,449,979,
586,728,535,904,342,909,393,927,751,282,345,670,230,752,342,179,542,958,809,
737,019,655,003,989,146,269,538,098,876,849,900,184,418,941,450,446,036,250,
799,780,425,646,482,198,555,079,216,275,881,592,653,051,071,591,665,331,226,
063,740,618,423,546,688,322,405,023,729,724,228,950,304,813,742,227,167,154,
312,459,162,973,843,065,360,353,429,506,164,239,549,719,061,433,360,428,580,
102,976,532,709,456,651,589,135,199,767,417,541,611,007,291,350,354,408,421,
898,745,469,263,080,111,766,697,279,890,861,707,877,784,733,030,797,676,440,
835,944,822,776,897,829,970,593,237,836,659,653,406,897,437,230,559,678,780,
296,908,229,554,533,306,705,534,490,053,637,787,742,106,562,418,431,895,682,
731,331,472,939,137,507,912,597,928,058,610,162,922,250,979,251,581,823,258,
663,553,835,581,110,654,466,722,305,752,292,897,619,331,869,453,641,625,302,
004,515,228,348,560,357,097,679,210,914,101,702,895,334,503,949,832,326,946,
985,179,296,788,423,426,707,415,015,747,996,571,746,265,148,142,389,383,373,
682,102,176,938,229,939,537,963,415,803,958,245,710,445,290,107,894,239,028,
084,295,763,218,188,270,020,313,420,486,049,398,625,399,784,786,852,590,207,
821,423,736,572,885,928,534,287,960,625,628,481,861,207,834,275,960,113,174,
834,523,544,905,029,512,315,761,066,135,318,000,120,133,902,315,148,176,495,
469,651,128,433,258,629,670,238,795,102,417,355,299,559,297,901,850,694,436,
325,686,512,798,014,264,712,908,322,786,278,115,829,243,855,558,060,908,807,
329,957,825,479,928,810,875,977,002,895,373,489,202,372,256,011,464,043,614,
913,179,061,501,172,653,506,490,842,310,373,266,882,563,913,311,743,617,604,
498,349,577,654,558,903,826,415,689,849,130,468,417,212,059,229,166,300,432,
481,549,985,953,889,078,668,571,804,408,141,381,306,879,674,858,525,133,002,
008,782,419,839,778,210,067,501,477,797,061,369,827,333,693,446,490,062,333,
096,826,959,366,993,572,974,866,157,336,691,514,616,950,854,980,093,259,766,
333,716,860,432,057,437,014,390,856,155,157,217,038,345,463,183,071,907,505,
072,989,085,781,196,175,219,924,934,277,806,342,553,435,714,180,050,980,142,
244,395,890,599,064,294,892,989,332,705,551,947,898,278,872,577,890,728,355,
531,650,135,242,440,843,865,969,701,999,713,762,865,797,837,457,612,606,322,
688,714,956,872,049,619,481,989,307,208,150,386,286,019,226,388,859,675,791,
361,663,451,575,962,756,611,543,612,388,329,027,860,438,919,978,547,307,831,
674,183,358,943,224,724,996,006,141,655,531,930,789,112,186,525,628,832,380,
602,857,116,869,015,127,166,915,757,235,462,906,791,643,851,434,504,461,563,
846,518,532,609,272,517,703,619,439,465,170,864,070,766,630,219,696,784,662,
615,975,945,006,687,288,649,383,577,599,424,861,492,483,895,681,393,344,392,
305,290,030,576,500,990,810,587,181,177,058,100,720,995,876,381,593,457,441,
369,699,311,671,724,386,659,198,733,610,668,716,453,718,731,345,200,731,438,
447,902,942,824,251,732,124,175,434,440,718,289,089,228,587,178,217,765,791,
235,134,107,596,756,038,459,549,891,139,178,965,984,348,285,742,315,098,123,
652,496,756,940,909,900,761,375,885,660,929,095,873,415,176,610,265,621,120,
896,851,461,072,762,248,910,435,991,712,434,877,106,130,725,321,847,158,801,
896,286,681,652,009,495,601,420,038,070,301,051,710,880,822,738,783,556,055,
167,311,738,258,348,256,232,240,748,454,632,743,551,979,373,807,963,940,956,
420,896,010,633,533,285,362,906,852,065,674,190,538,539,348,642,264,525,962,
875,618,107,604,123,594,288,403,460,326,039,815,153,936,828,551,420,268,920,
368,567,801,416,583,887,898,773,559,151,126,585,979,298,369,602,989,132,830,
022,296,378,479,389,025,926,152,508,923,447,394,920,543,913,130,826,369,026,
392,918,717,577,744,752,880,210,512,430,190,927,782,421,448,659,049,097,775,
748,531,677,881,371,589,834,939,606,926,609,928,996,868,068,092,704,395,420,
793,635,263,079,301,197,939,622,254,271,121,776,027,175,974,357,646,583,510,
190,754,911,544,562,181,769,467,628,182,437,344,080,382,751,279,908,689,274,
086,227,323,509,448,049,709,117,476,385,942,730,071,710,036,063,152,741,804,
417,096,908,013,253,756,958,546,973,483,865,548,795,664,413,077,726,006,804,
057,944,001,830,925,599,409,263,848,018,742,635,765,583,619,954,075,098,457,
141,999,936,553,205,791,921,687,548,905,149,672,638,533,758,815,621,323,173,
344,759,633,035,935,393,238,314,133,781,906,319,792,361,336,510,635,828,300,
349,652,020,923,908,865,711,151,413,044,951,515,572,455,267,907,773,422,814,
811,713,884,032,417,088,919,237,761,854,692,251,291,240,392,546,705,883,065,
106,430,480,567,054,252,163,622,167,740,154,840,227,583,332,978,931,227,973,
790,349,243,091,643,424,198,806,495,258,967,965,344,560,751,039,677,525,527,
222,216,082,822,950,650,769,033,961,364,141,405,964,828,524,990,502,676,328,
058,387,499,084,424,875,577,715,618,338,693,101,343,092,959,928,536,722,765,
720,081,522,142,265,799,863,323,875,618,215,255,636,547,231,880,311,302,424,
223,106,287,276,846,913,265,958,328,035,941,213,813,901,670,918,194,277,959,
188,542,121,203,430,808,005,304,365,773,330,942,302,331,655,715,215,284,192,
036,672,339,465,600,581,530,187,449,531,586,187,581,216,117,224,389,505,289,
734,299,445,341,817,483,588,508,855,651,617,068,624,715,632,828,150,496,768,
269,256,499,119,393,976,633,921,005,305,108,376,266,487,619,459,305,824,442,
001,049,446,055,577,033,683,330,998,358,314,414,414,904,029,082,476,559,470,
460,356,397,636,218,092,558,609,704,218,508,930,659,644,225,641,540,294,332,
166,701,309,441,123,605,217,588,846,644,952,196,546,709,198,081,863,041,081,
639,179,619,382,704,134,869,714,163,559,324,469,443,897,278,839,084,675,350,
590,924,182,422,078,948,162,964,546,571,790,810,435,637,963,540,555,770,864,
524,256,241,932,597,639,311,987,653,787,817,238,602,823,738,390,016,657,411,
621,738,400,238,471,244,296,846,150,202,001,623,839,843,547,952,887,269,876,
518,859,673,525,655,030,184,882,388,366,734,987,449,233,013,362,149,818,913,
778,069,749,079,196,046,961,509,380,940,427,026,551,835,275,126,858,488,078,
322,808,370,164,726,020,729,044,027,995,182,951,659,795,457,104,485,696,070,
916,424,377,477,078,292,280,669,718,754,528,260,301,926,616,676,402,700,722,
137,013,965,503,071,066,528,119,370,111,632,417,288,697,130,923,786,236,728,
757,111,181,306,187,049,821,715,377,477,122,998,527,489,963,270,964,416,117,
090,875,346,440,635,161,256,452,772,789,045,173,503,985,814,092,211,524,948,
904,493,052,536,114,312,476,594,336,158,554,600,056,438,908,575,052,409,456,
201,152,394,790,092,786,352,049,598,352,639,606,433,741,688,877,282,094,863,
087,328,688,601,790,110,659,554,198,228,529,629,479,322,393,436,259,677,657,
727,353,343,397,594,216,550,606,189,181,688,306,452,512,983,378,003,903,822,
102,728,107,244,667,281,632,151,121,752,529,469,560,688,288,605,395,442,082,
974,295,802,991,745,454,754,071,303,685,783,211,108,597,743,455,621,099,070,
182,105,842,312,939,199,756,196,082,872,120,695,364,319,862,909,761,278,436,
519,794,596,983,720,838,394,507,589,164,974,256,568,339,953,176,079,532,901,
941,411,670,532,112,779,443,757,995,493,975,614,305,083,169,657,014,349,226,
646,070,667,287,415,876,489,341,233,032,873,032,855,052,038,374,903,165,863,
964,522,569,344,516,046,666,047,927,332,586,113,627,839,158,534,252,740,473,
825,181,962,031,136,562,390,561,777,375,857,663,162,546,046,365,086,462,613,
156,953,284,054,488,022,953,654,695,605,878,191,157,232,216,838,360,043,161,
991,142,560,604,870,768,674,836,421,695,701,991,725,543,098,878,026,354,132,
775,609,778,630,884,911,009,015,260,730,187,350,618,217,292,787,653,512,113,
121,243,557,117,682,899,427,628,320,721,339,647,356,054,314,090,414,157,806,
522,326,257,142,220,531,328,996,818,673,201,646,106,087,749,115,106,884,358,
321,888,275,805,170,527,116,959,434,253,017,547,854,667,993,541,428,877,581,
112,236,929,312,014,217,520,685,747,514,448,127,012,922,254,521,423,175,778,
763,433,439,329,291,614,783,425,774,509,695,797,986,021,611,037,017,705,471,
190,924,199,270,900,749,102,741,057,393,078,153,802,773,294,811,378,115,512,
503,775,723,744,411,265,942,321,034,870,995,937,455,675,629,621,816,547,228,
752,231,665,012,451,880,926,554,578,921,625,153,059,789,843,528,002,692,545,
244,233,119,316,605,461,747,773,558,884,426,427,686,875,597,915,630,424,106,
424,782,440,781,899,094,936,449,164,773,345,636,745,317,545,715,684,744,875,
593,168,317,672,645,472,183,252,906,663,156,449,282,540,938,076,291,603,151,
683,793,111,280,381,911,274,599,458,186,551,753,125,194,938,567,825,668,012,
784,243,624,405,028,674,238,054,591,537,357,173,513,572,272,011,891,121,102,
047,023,317,510,014,037,734,827,452,362,311,032,467,489,190,722,615,236,923,
181,950,506,929,991,522,204,219,982,504,185,022,150,361,234,920,310,359,650,
157,503,850,356,218,637,757,596,509,529,545,250,418,068,157,736,254,358,728,
405,407,506,525,609,223,003,563,294,189,137,282,164,727,372,671,303,990,607,
359,139,002,824,695,617,336,468,767,933,812,273,635,179,758,900,910,232,616,
303,351,026,760,317,139,176,321,148,844,167,452,014,136,820,019,223,854,651,
249,373,364,784,868,539,126,923,417,972,443,019,486,692,888,647,152,650,505,
832,543,032,792,571,757,559,089,604,767,978,103,189,615,116,208,772,523,439,
794,243,305,848,274,915,994,089,178,266,989,921,818,563,904,531,950,631,760,
940,521,428,853,278,898,775,542,458,351,496,727,839,611,168,048,858,965,610,
866,074,882,345,736,955,269,910,210,679,823,288,979,835,082,981,598,709,895,
558,109,807,974,699,255,435,944,210,519,462,043,820,150,585,814,028,352,667,
450,719,227,309,657,798,121,855,128,037,859,243,603,302,045,666,382,712,671,
905,047,064,665,711,596,730,076,086,420,561,109,321,422,447,492,167,032,039,
310,250,798,590,722,585,594,695,255,844,629,634,313,299,094,696,970,384,113,
812,328,244,659,047,549,490,959,575,230,029,894,525,447,993,485,159,501,455,
522,334,557,390,796,791,631,015,073,349,265,169,266,287,877,277,032,694,846,
139,390,975,608,959,007,910,428,608,753,107,941,564,068,574,776,148,920,547,
386,155,989,198,379,745,668,638,998,424,869,305,148,065,501,918,748,865,789,
217,303,445,190,170,416,321,668,698,532,389,557,657,705,777,102,448,497,303,
578,164,885,066,040,383,520,329,794,824,260,309,655,087,850,144,993,391,903,
949,808,575,425,973,263,994,096,703,145,401,563,666,532,350,245,680,704,413,
888,048,117,220,291,874,228,147,246,075,682,494,115,401,960,165,446,053,873,
274,533,313,337,920,589,404,114,179,519,799,634,145,512,406,949,266,678,704,
735,964,722,040,954,492,540,230,633,701,512,474,429,377,738,354,483,667,495,
845,986,490,591,043,731,805,345,287,853,852,899,233,310,602,119,472,705,733,
026,645,666,225,866,458,159,623,495,527,901,360,173,558,562,805,604,779,513,
005,809,575,307,060,794,659,026,614,464,892,290,955,483,169,920,125,465,962,
056,212,692,978,869,474,309,306,670,351,660,544,863,892,121,752,103,143,845,
370,836,248,923,732,014,890,836,412,965,628,795,644,750,558,248,637,254,499,
143,719,719,408,004,291,232,090,808,355,475,558,763,141,788,347,057,474,006,
613,991,706,037,392,492,200,913,181,721,413,718,159,450,104,270,124,746,904,
016,689,431,779,815,396,991,379,543,450,346,581,464,366,259,808,778,973,476,
223,995,496,714,857,503,582,200,754,982,200,868,507,645,909,987,030,429,937,
202,053,344,705,709,217,429,589,909,677,226,444,490,511,375,849,866,737,944,
282,813,353,557,773,685,205,021,063,894,244,267,914,674,505,431,668,883,730,
219,262,923,898,687,894,368,047,365,263,677,991,926,103,541,555,496,446,287,
987,516,913,233,596,846,017,377,035,961,050,137,288,837,331,789,240,765,846,
133,844,226,969,158,341,062,677,286,983,784,708,498,812,947,655,691,681,162,
156,717,157,721,208,314,130,569,122,250,387,809,708,318,482,519,259,472,141,
550,492,400,448,009,629,462,047,586,757,331,801,029,814,479,030,684,799,149,
740,565,033,098,198,199,305,345,183,058,610,904,417,042,364,031,580,864,818,
673,420,345,552,312,137,747,917,309,980,658,357,896,193,972,180,802,490,247,
769,223,086,747,288,278,592,233,433,037,233,853,713,623,982,444,233,505,161,
778,408,902,555,665,661,979,326,358,696,764,906,698,160,700,932,562,676,419,
880,640,973,890,011,963,022,557,792,002,970,097,141,150,812,794,983,013,691,
005,444,361,524,046,821,686,585,169,672,130,096,910,948,882,814,703,375,263,
111,330,092,232,039,777,420,071,827,644,302,207,357,045,266,778,918,043,803,
845,244,346,969,334,088,655,848,453,142,228,496,837,467,258,597,452,633,078,
212,688,328,439,034,093,860,174,217,455,081,751,234,831,440,564,108,375,794,
834,882,357,666,884,375,672,946,263,395,942,069,178,099,764,683,728,403,779,
096,042,371,998,072,699,267,660,529,735,700,945,365,568,485,740,738,518,743,
375,799,561,910,662,457,331,235,672,681,439,203,922,801,758,493,549,507,734,
308,388,210,601,736,648,255,289,798,345,528,362,424,738,025,116,986,839,605,
028,239,496,011,030,985,064,030,459,245,056,343,075,091,218,900,645,027,218,
738,602,549,524,611,196,385,986,295,023,212,317,204,130,885,981,588,806,372,
038,982,614,865,416,483,936,709,085,622,847,160,531,615,503,420,585,108,759,
113,125,029,222,351,350,949,612,092,247,736,834,413,125,971,499,433,358,670,
064,558,159,663,694,459,505,588,506,850,613,754,717,562,392,228,997,991,025,
762,541,088,089,279,494,423,006,618,415,629,038,851,990,831,316,143,244,853,
131,158,195,211,685,517,481,065,181,389,166,072,693,750,329,353,224,925,214,
475,124,886,487,560,859,412,888,646,284,421,097,001,714,690,624,015,659,715,
727,013,990,880,285,166,358,541,326,980,391,179,431,101,680,845,259,933,826,
644,517,576,994,564,916,072,579,083,532,040,202,251,690,781,641,060,984,110,
850,804,131,468,336,909,744,254,513,332,228,848,526,395,322,564,317,646,695,
338,266,878,378,253,528,181,017,932,509,733,075,468,075,784,644,195,739,159,
009,562,840,366,138,597,398,499,162,258,793,584,493,938,914,284,995,172,496,
321,128,977,642,391,523,813,732,694,418,135,672,577,972,191,527,819,751,391,
709,522,327,397,719,136,410,620,214,728,549,628,384,529,141,589,287,801,257,
711,392,317,636,203,413,109,315,820,167,599,016,195,194,583,789,837,654,849,
895,005,869,325,488,920,583,060,068,037,351,498,237,830,841,449,754,972,967,
948,844,263,353,939,372,746,511,845,226,570,555,299,161,713,732,670,690,921,
964,676,579,458,847,014,038,109,080,800,513,092,168,026,332,098,276,552,470,
224,051,479,425,137,709,263,480,112,720,658,940,286,421,844,279,047,786,936,
067,909,919,135,408,548,309,945,814,823,280,097,600,422,685,496,228,478,968,
546,323,560,525,785,642,700,312,522,954,041,664,482,728,485,855,397,921,643,
811,964,939,477,201,889,600,356,796,448,331,737,451,928,524,807,654,571,630,
902,547,654,046,391,137,976,900,035,801,659,210,483,146,040,338,425,674,385,
427,108,790,413,716,716,836,874,621,421,933,967,934,576,768,402,491,216,526,
933,059,259,804,474,127,540,994,225,314,249,137,012,890,142,397,104,928,038,
140,811,039,730,361,831,227,679,401,120,923,815,322,733,402,914,155,761,530,
591,299,801,152,376,058,192,868,101,505,379,276,615,501,393,873,695,033,111,
988,477,694,892,902,856,618,855,806,900,819,132,506,711,447,582,137,975,369,
625,619,578,523,211,333,629,290,740,156,516,503,782,978,573,671,746,937,684,
893,584,486,133,216,598,410,222,111,036,467,713,803,025,368,787,649,826,707,
572,679,673,361,126,124,379,059,950,209,417,773,281,702,417,488,211,977,063,
817,789,912,139,058,207,583,531,683,724,366,658,568,135,818,716,278,551,645,
198,222,812,460,775,936,222,262,414,567,828,120,735,694,795,805,132,585,239,
733,609,732,003,153,153,660,070,232,718,247,519,851,869,196,363,954,823,004,
156,055,487,232,641,558,714,070,507,761,652,981,848,971,871,835,012,810,178,
875,182,903,133,579,958,861,241,122,448,090,918,957,829,109,261,851,771,502,
957,080,752,082,161,205,410,880,577,347,735,238,994,063,059,766,268,850,712,
584,603,677,667,232,904,481,866,076,528,689,998,188,124,401,108,613,321,663,
244,767,378,202,259,191,765,047,906,190,655,737,522,147,077,881,983,766,757,
983,009,140,904,501,622,201,521,898,290,314,899,192,377,521,110,687,890,744,
332,648,989,483,335,651,813,703,294,837,441,422,056,706,585,572,400,578,405,
907,705,475,117,312,020,299,019,960,666,893,636,019,838,532,427,520,701,681,
175,512,646,173,965,462,490,889,060,748,335,734,424,328,351,047,060,439,437,
345,640,997,945,535,514,408,678,051,105,224,267,331,365,908,597,172,855,586,
606,305,074,397,889,043,953,333,867,556,816,611,345,467,385,359,081,921,652,
547,499,079,755,228,190,701,106,110,418,144,846,162,789,458,909,673,513,535,
027,985,765,595,637,233,267,999,598,305,178,923,518,013,008,842,661,023,675,
585,624,788,350,061,627,118,784,493,097,703,571,659,237,663,738,314,139,387,
878,977,748,383,400,279,852,815,313,311,463,237,258,062,527,006,352,792,020,
029,630,970,817,117,183,131,228,951,169,588,133,539,402,044,961,994,256,547,
485,823,735,246,037,452,926,319,639,365,272,671,852,528,221,637,794,259,195,
097,145,583,369,152,194,352,617,635,169,467,193,321,917,414,641,589,222,277,
134,324,351,754,964,344,989,172,993,663,466,146,926,609,800,762,019,834,608,
792,193,137,515,901,091,762,624,209,003,449,076,785,467,723,692,459,852,191,
410,378,067,332,090,383,304,866,359,882,538,582,972,846,955,687,758,264,634,
166,631,444,896,631,757,649,845,645,227,047,650,796,367,920,515,553,800,435,
261,166,433,290,019,177,021,340,200,453,640,603,601,134,196,425,456,510,606,
627,171,883,452,153,486,268,590,940,943,738,970,889,680,992,696,100,813,391,
252,020,095,604,206,643,156,214,730,101,089,582,908,146,598,761,430,953,030,
313,663,423,393,411,036,321,146,585,238,201,078,520,658,206,331,395,287,493,
431,890,654,093,232,758,742,352,076,727,506,288,986,324,796,189,772,156,007,
711,217,510,226,057,793,571,700,497,626,361,946,142,895,039,256,834,123,442,
641,924,138,183,651,309,433,287,644,966,774,300,474,233,337,776,744,864,970,
038,367,052,754,609,638,470,458,939,780,911,258,924,554,364,458,122,190,646,
582,490,507,647,548,968,010,058,592,943,273,489,824,317,381,819,537,248,637,
732,549,251,888,429,799,843,626,075,703,057,557,705,579,278,435,985,310,593,
845,192,364,712,135,180,176,061,447,070,265,931,508,250,411,634,503,417,264,
415,482,001,774,560,528,510,733,873,102,819,863,275,187,494,334,894,581,768,
836,195,657,417,434,705,971,839,179,156,069,465,190,806,379,412,087,524,734,
715,235,241,546,754,589,481,147,769,339,818,429,976,788,843,919,534,796,186,
753,785,180,608,146,837,172,735,793,080,018,080,386,606,417,875,331,266,429,
782,666,620,198,776,671,339,534,986,270,180,283,172,664,898,497,146,800,649,
566,794,015,044,600,783,803,711,756,434,929,437,417,857,993,527,243,911,563,
225,667,230,795,928,560,340,433,548,727,045,583,433,752,303,615,427,296,018,
991,498,123,466,305,845,219,618,573,190,248,483,453,153,229,686,751,095,006,
974,398,842,232,349,346,929,003,535,061,397,195,623,990,111,332,133,860,803,
651,064,969,546,494,912,600,673,709,473,593,877,377,823,614,411,136,490,715,
206,250,007,049,033,132,856,495,227,629,112,503,398,142,827,833,909,761,416,
948,607,675,845,646,798,417,636,390,857,785,983,747,492,371,758,616,660,617,
473,143,955,204,427,308,502,906,996,653,578,136,942,381,750,511,644,277,313,
439,196,294,045,887,401,327,977,976,898,933,746,079,683,608,967,122,002,176,
236,629,921,659,717,199,447,331,019,427,976,236,252,583,373,114,090,076,205,
512,451,312,932,343,898,581,971,759,835,777,637,015,684,287,436,690,806,922,
782,931,406,825,638,743,255,595,393,404,744,632,391,048,904,104,885,455,214,
192,402,986,716,308,952,780,213,819,916,678,690,990,698,215,076,656,880,144,
689,165,018,341,889,615,744,174,980,343,656,834,439,413,357,382,978,724,030,
981,344,823,660,807,978,047,968,310,634,847,692,236,411,132,919,190,908,796,
971,129,797,562,904,446,492,546,793,634,700,063,537,453,035,214,936,720,283,
768,649,631,879,632,843,036,213,557,448,424,422,191,629,936,498,310,571,041,
936,330,382,721,876,595,167,437,482,595,650,729,667,201,688,418,391,551,173,
986,875,829,864,229,472,515,526,300,248,371,308,656,396,335,193,133,926,673,
049,627,745,796,716,510,417,011,361,659,859,819,458,923,320,722,373,139,543,
013,707,900,509,510,832,564,617,321,480,667,451,695,760,900,719,211,098,231,
729,089,674,696,053,620,800,433,365,503,355,468,516,992,162,515,294,156,957,
503,158,598,841,210,336,500,358,154,642,813,098,929,343,011,532,158,969,945,
835,642,859,219,050,737,126,514,465,123,951,097,333,725,208,999,166,376,201,
564,815,237,488,092,697,166,515,187,870,908,566,119,021,977,464,749,780,641,
459,111,489,552,520,446,805,264,718,007,578,547,664,255,780,574,596,631,049,
652,455,872,457,418,256,354,995,992,768,974,146,425,912,079,034,994,900,369,
549,287,223,313,750,627,842,557,044,495,280,577,162,923,865,940,700,837,205,
419,966,634,068,462,371,454,644,535,986,201,469,772,705,951,752,508,342,942,
753,664,110,995,036,919,286,723,157,414,420,143,572,031,944,547,220,228,421,
805,888,679,420,499,936,684,118,603,204,716,520,459,485,205,716,513,683,143,
106,947,781,245,676,223,642,246,220,500,206,460,554,221,513,534,123,302,555,
240,397,200,982,981,052,196,440,172,588,297,654,541,368,912,915,105,778,083,
252,881,449,737,986,595,355,935,665,673,500,569,581,553,731,461,279,178,693,
269,856,672,889,866,965,266,223,580,216,739,119,915,420,382,184,594,473,872,
589,423,977,034,946,452,325,367,670,034,386,607,871,099,686,005,949,408,601,
012,346,506,145,564,355,729,479,449,749,584,153,897,818,253,408,918,018,584,
077,844,386,081,190,578,629,773,380,431,722,290,598,025,737,004,275,138,940,
114,818,749,108,206,225,068,387,266,678,372,574,436,240,688,549,505,338,539,
226,466,902,702,173,746,414,268,830,536,702,786,402,317,604,777,442,633,723,
446,943,606,299,543,075,456,202,992,964,561,917,346,728,002,181,124,292,971,
509,263,761,389,626,638,413,028,930,281,969,467,930,238,386,314,425,625,197,
120,450,831,566,778,502,248,909,116,221,178,628,723,875,700,421,530,443,904,
740,226,630,824,691,458,388,104,447,235,099,252,734,037,210,278,580,093,131,
469,188,395,175,198,912,525,357,022,739,819,370,406,238,485,011,667,786,343,
411,696,773,587,529,320,455,599,608,792,187,028,230,679,853,337,307,760,200,
049,780,005,266,189,054,814,719,135,040,462,901,326,456,875,645,273,185,213,
574,015,365,725,023,040,726,617,922,394,686,220,853,271,945,567,969,085,691,
315,580,956,353,376,759,442,955,970,888,576,424,514,757,212,408,573,233,177,
662,804,850,735,320,377,913,138,170,794,052,785,986,508,039,890,734,743,875,
885,269,904,256,925,274,650,860,156,810,613,142,657,858,752,667,038,772,541,
465,212,420,324,031,307,200,237,645,701,649,787,234,334,463,179,685,338,730,
375,226,758,677,426,942,993,278,041,206,869,309,454,082,812,314,775,117,344,
052,320,393,765,565,794,035,387,681,741,048,514,265,720,990,502,324,979,018,
533,497,573,854,474,178,933,629,271,715,071,118,006,663,014,388,633,316,707,
093,428,988,091,594,115,387,881,944,138,750,394,406,610,121,290,843,493,364,
841,719,200,878,624,035,322,126,126,120,540,575,012,844,589,555,243,263,537,
894,560,341,960,819,272,093,273,871,448,930,486,013,771,596,876,468,156,359,
930,977,100,512,040,253,550,455,074,189,131,734,329,610,485,863,099,930,898,
392,580,516,952,476,035,190,622,250,990,441,795,982,823,553,225,054,063,928,
450,305,209,602,319,011,640,451,596,634,393,519,207,731,677,982,772,687,016,
470,484,216,949,525,739,116,966,104,651,413,002,157,762,799,377,839,370,850,
186,032,817,752,331,973,565,170,635,800,923,973,435,361,676,327,673,721,694,
929,289,072,686,323,568,268,720,239,185,185,214,940,434,733,097,322,937,693,
833,811,120,025,771,952,153,456,599,227,373,986,694,133,010,915,326,604,508,
508,629,362,037,346,151,852,997,778,325,742,062,651,568,455,836,191,464,318,
353,493,638,845,196,342,708,013,125,167,634,922,087,014,435,599,471,487,493,
495,352,372,930,643,452,623,124,327,721,153,815,664,823,680,176,541,670,752,
694,535,700,101,689,126,702,451,350,626,676,755,470,810,307,301,407,184,231,
190,502,085,183,040,032,484,574,844,587,495,912,130,026,027,554,684,931,661,
580,472,858,260,335,965,630,487,308,387,100,512,657,691,611,911,421,573,238,
384,457,247,848,212,130,657,114,970,860,046,189,414,364,742,935,580,026,797,
711,040,885,390,150,106,907,069,977,539,779,719,294,686,199,893,321,911,153,
356,959,503,836,432,888,683,269,733,075,444,786,164,154,225,850,634,345,738,
360,840,685,204,770,743,844,397,701,105,232,385,301,530,795,226,641,861,687,
999,973,725,418,993,509,119,595,520,567,139,568,526,085,977,506,963,588,158,
486,149,679,475,580,388,175,692,988,289,089,242,735,573,943,640,514,263,066,
604,939,133,881,554,579,208,915,652,516,441,215,115,900,317,456,041,439,288,
872,771,533,414,765,661,794,607,964,093,551,940,461,258,720,303,004,558,333,
768,903,770,064,065,647,185,302,361,929,643,759,562,852,638,483,285,923,096,
964,034,669,203,161,434,375,360,464,447,824,783,864,539,580,481,632,235,473,
333,691,841,669,869,061,362,913,490,454,721,496,433,985,159,995,469,717,533,
688,998,659,136,464,805,310,118,344,115,101,757,257,763,759,062,497,409,881,
780,776,750,838,611,177,626,935,294,572,074,174,552,219,517,306,926,308,448,
815,283,243,018,294,985,056,313,198,613,605,977,614,691,971,776,733,745,591,
042,540,016,748,529,966,595,076,317,448,190,312,910,904,749,344,340,389,126,
607,058,099,417,148,509,907,620,604,337,151,513,762,572,399,217,725,912,142,
638,253,136,846,389,999,144,668,083,524,271,703,852,768,520,218,878,053,274,
481,882,125,609,625,867,628,291,564,662,069,725,590,640,022,500,233,849,996,
046,450,136,858,588,831,848,342,805,409,796,860,745,557,630,250,855,500,134,
836,952,564,724,614,925,323,823,029,695,034,325,989,846,983,296,591,937,641,
848,787,243,546,170,785,605,505,883,837,137,733,551,174,653,008,697,773,323,
354,188,539,579,573,693,518,913,067,340,027,721,464,136,578,699,885,429,477,
974,820,149,275,759,238,413,530,357,419,825,908,833,005,782,333,774,742,492,
195,681,963,171,737,271,290,830,755,922,641,558,885,723,133,543,723,792,428,
605,041,861,085,305,703,314,391,980,961,081,650,937,239,777,321,330,479,519,
915,328,950,210,014,762,761,906,686,229,340,722,234,818,154,584,159,102,621,
522,406,704,266,083,355,470,110,899,977,520,638,795,377,504,446,095,219,589,
550,184,991,490,641,924,301,167,221,308,903,041,685,110,854,319,437,263,922,
795,186,141,713,953,843,490,968,712,880,224,169,957,001,817,132,661,186,927,
344,511,701,114,343,293,597,058,521,945,819,135,926,249,334,528,989,540,945,
885,263,726,794,436,730,586,686,475,393,232,957,543,208,634,542,790,445,563,
060,814,748,271,402,801,011,030,890,818,277,823,160,284,184,837,378,113,923,
658,471,302,753,899,271,367,401,522,142,699,736,994,969,841,025,408,833,086,
447,211,509,444,831,347,271,145,240,376,826,018,852,466,668,609,427,829,903,
242,905,005,865,525,788,633,753,873,508,521,082,672,925,719,320,412,709,749,
805,793,266,977,126,633,021,364,005,788,278,987,980,974,961,746,186,462,226,
116,162,141,975,096,489,661,315,943,697,979,929,333,529,411,821,367,544,826,
526,947,370,819,054,725,318,860,306,844,168,177,888,478,397,844,671,790,459,
102,281,592,550,785,553,603,824,309,817,330,973,953,234,650,504,280,897,661,
902,429,318,724,558,431,299,241,798,414,461,300,772,885,275,575,505,097,714,
903,474,933,776,149,586,167,072,187,944,773,436,666,108,367,089,252,226,977,
707,516,553,822,167,896,664,623,150,632,345,603,303,220,338,295,846,469,741,
145,153,441,963,116,347,935,809,891,960,843,563,458,265,217,665,354,109,400,
967,144,628,625,875,353,796,245,123,251,601,356,472,951,994,167,733,155,165,
005,954,876,635,444,243,876,577,811,635,060,338,313,935,810,656,853,218,431,
342,480,395,089,834,513,490,903,189,480,915,524,195,237,439,503,263,864,706,
947,813,296,500,757,413,303,061,378,046,784,108,815,122,970,514,274,799,846,
723,667,566,473,804,218,970,368,472,664,699,673,441,626,555,736,575,407,331,
330,405,428,307,407,336,064,559,318,917,982,982,928,616,535,650,095,663,213,
103,949,929,417,799,222,501,535,646,023,683,474,263,650,448,184,833,085,057,
332,234,363,450,765,585,561,092,192,453,220,267,973,357,260,361,023,578,356,
008,953,237,635,506,485,708,129,411,268,866,614,266,447,369,374,858,980,397,
838,711,648,094,552,802,457,663,170,962,760,635,755,243,908,394,107,325,889,
043,241,760,351,683,448,706,820,488,558,172,896,643,523,796,869,619,718,561,
149,447,277,831,949,500,644,823,814,071,817,298,622,933,635,919,780,625,024,
123,237,777,484,059,248,108,844,251,157,512,719,305,242,322,992,586,866,261,
052,926,462,112,171,306,433,170,469,862,587,318,135,770,788,333,458,096,788,
559,626,670,487,143,631,504,543,237,201,744,530,888,152,759,945,739,516,437,
918,030,105,645,887,988,960,404,024,156,027,806,577,856,157,738,291,517,936,
137,161,329,451,070,533,140,473,374,605,685,400,044,211,521,552,974,241,198,
850,409,983,143,136,723,129,642,244,093,384,506,577,001,721,199,676,253,528,
021,587,017,545,919,648,427,053,658,803,353,319,672,086,677,409,058,194,251,
622,631,789,016,440,300,908,213,949,040,116,092,946,289,736,646,736,524,538,
691,491,164,872,673,539,535,738,294,618,143,722,513,474,092,558,126,243,599,
242,383,288,832,452,198,294,545,413,852,956,773,134,841,668,984,847,244,724,
278,513,783,508,770,413,286,533,551,203,359,149,843,043,515,864,278,296,020,
464,306,336,414,957,905,921,345,921,635,592,729,554,945,951,402,737,678,459,
921,343,072,624,769,126,603,518,842,491,836,128,503,196,622,982,087,076,685,
258,008,897,687,845,249,959,443,270,227,021,673,511,503,221,095,210,411,220,
196,637,638,456,334,103,437,741,138,932,025,743,718,880,214,189,886,637,883,
014,501,001,994,535,465,555,951,056,694,866,066,348,434,694,346,406,931,501,
049,346,374,396,657,795,999,415,870,286,640,568,546,701,094,587,974,943,401,
738,256,967,808,878,435,752,130,986,680,362,738,800,659,183,318,378,155,798,
462,624,679,043,580,345,650,512,414,697,510,454,465,721,548,887,754,505,460,
854,475,086,378,372,713,806,392,000,494,570,038,134,518,235,158,294,102,348,
755,118,069,051,240,487,124,610,303,947,730,260,013,210,188,270,015,251,165,
696,237,453,221,952,801,545,264,304,092,195,476,284,562,044,977,009,182,803,
765,399,633,913,099,728,635,030,988,406,632,002,513,074,467,846,451,352,830,
882,069,526,229,168,151,149,516,627,819,592,587,566,014,282,829,514,157,085,
976,073,329,369,577,956,981,439,003,704,595,254,768,434,936,015,392,398,111,
135,942,916,434,354,212,708,942,501,055,258,997,093,520,583,911,500,615,982,
860,439,518,123,206,561,294,671,003,826,639,257,324,639,742,797,273,668,571,
644,777,550,970,092,804,702,283,980,987,188,391,200,439,079,762,469,411,736,
237,434,865,871,032,995,337,834,677,103,265,813,946,226,108,209,033,460,147,
348,912,010,434,089,169,214,157,837,728,619,176,966,434,501,678,366,557,240,
351,482,725,811,052,711,317,673,218,786,019,550,937,169,893,950,062,426,723,
325,675,517,374,774,810,619,101,302,627,778,849,998,694,749,444,900,902,739,
700,519,516,112,261,221,842,090,712,523,531,151,666,829,265,755,518,443,392,
397,979,692,019,565,254,207,889,736,671,599,624,818,729,602,651,193,114,447,
691,615,695,645,509,661,821,898,428,258,415,325,452,643,692,573,804,807,119,
993,454,852,259,980,643,074,489,313,641,413,720,716,736,910,314,861,674,840,
419,224,443,512,025,625,682,348,431,885,546,872,536,367,708,793,700,134,681,
809,791,479,240,368,925,811,227,169,617,292,210,459,955,156,460,486,998,062,
298,764,341,076,034,105,509,719,300,640,694,303,326,617,233,182,432,543,701,
870,550,844,218,005,695,649,192,986,851,510,862,591,652,362,233,213,618,009,
389,411,278,590,528,407,097,537,726,888,767,491,585,648,033,190,009,640,898,
421,228,258,425,863,458,550,827,526,898,037,855,504,870,258,926,286,151,603,
810,980,569,904,537,885,486,102,430,350,337,254,517,032,158,706,543,703,510,
640,898,108,563,146,191,668,124,588,994,550,399,739,020,867,833,179,999,714,
881,796,900,056,489,320,147,966,398,487,618,698,631,940,726,852,729,679,724,
514,338,571,593,971,939,053,926,277,608,635,481,326,450,124,337,344,493,855,
632,431,589,763,392,943,005,230,347,509,363,381,097,143,740,040,352,821,764,
237,718,031,487,363,844,895,859,486,153,171,895,602,549,007,789,878,584,921,
577,287,531,453,867,266,308,776,040,354,315,558,331,880,625,338,787,664,007,
480,668,080,547,554,081,431,032,819,094,738,640,584,440,497,748,308,330,845,
542,121,318,698,006,305,033,152,554,727,297,942,147,240,677,324,645,709,731,
997,863,035,648,029,035,797,792,320,462,921,360,012,979,963,166,887,532,459,
181,319,102,114,873,700,549,034,844,765,590,006,947,463,540,205,226,592,770,
517,656,215,104,502,179,794,059,414,838,900,336,527,172,612,662,520,187,042,
649,012,258,202,928,829,557,343,361,809,458,561,387,263,115,229,764,372,778,
041,572,659,999,874,474,641,628,868,005,957,584,289,064,017,585,071,557,892,
559,504,634,778,033,119,510,334,250,956,241,789,510,241,544,729,883,118,471,
324,575,615,636,914,009,446,276,435,360,552,105,821,334,887,236,884,211,692,
953,423,109,873,049,757,803,406,500,003,577,684,886,984,182,065,185,693,330,
303,978,077,738,413,757,046,892,239,554,696,475,176,358,970,595,656,550,257,
548,998,295,890,657,676,008,445,595,972,682,081,296,660,321,539,402,957,830,
260,346,482,101,866,193,303,710,315,779,679,398,182,646,522,674,889,568,586,
981,930,386,954,956,859,255,127,609,429,410,068,773,582,528,582,515,883,835,
223,717,107,405,619,214,598,620,991,275,039,919,274,661,157,686,001,841,377,
915,362,212,115,307,680,422,952,797,298,859,613,104,928,337,335,851,515,967,
049,764,437,502,769,159,478,150,932,842,104,926,062,791,943,924,031,626,466,
787,083,147,279,432,308,847,420,587,899,370,588,186,913,295,686,167,431,357,
763,417,368,682,878,939,643,499,900,424,517,233,509,028,993,292,303,919,383,
226,365,196,227,488,773,665,632,200,775,281,572,937,982,005,936,623,182,661,
387,404,208,473,979,301,305,071,372,129,353,004,343,839,302,918,840,786,046,
905,405,627,231,311,191,079,887,856,298,390,163,660,129,296,792,034,965,053,
992,683,247,378,235,371,700,046,917,953,310,760,384,578,688,687,360,443,245,
447,634,413,169,985,249,497,671,523,348,069,345,739,376,803,140,217,948,038,
059,606,202,601,480,149,742,994,271,492,035,594,475,037,168,446,089,755,478,
478,221,368,977,579,373,111,046,462,020,221,811,783,881,511,944,016,678,029,
585,818,691,705,394,185,702,989,792,589,063,573,480,835,549,550,179,994,998,
382,510,671,430,017,699,068,351,993,543,680,902,119,379,450,604,487,712,493,
204,456,176,408,539,469,142,542,072,211,370,635,592,547,485,015,010,965,039,
398,632,230,169,613,520,128,174,951,815,001,266,008,997,635,128,959,008,681,
219,335,204,857,119,178,344,316,807,727,970,220,935,458,794,095,862,553,805,
952,002,888,471,602,191,979,428,390,878,419,052,513,948,800,042,172,440,023,
605,037,044,438,573,407,091,867,963,856,542,154,003,857,392,819,385,036,911,
799,905,769,419,145,969,617,706,083,328,309,491,561,939,965,937,365,448,520,
965,669,243,709,135,353,153,967,835,499,903,618,966,998,363,689,954,025,824,
137,741,414,054,765,534,531,307,776,788,188,896,958,336,836,322,958,351,602,
586,545,096,322,314,302,166,769,183,523,351,513,903,206,109,770,480,000,008,
451,583,611,593,600,545,666,073,545,442,441,283,443,235,428,122,074,914,665,
232,909,726,934,897,233,286,987,400,121,067,638,395,207,041,911,442,158,134,
795,874,186,135,907,318,516,096,533,850,958,678,600,604,177,207,496,924,712,
718,490,620,485,049,973,602,000,979,938,663,066,620,296,177,665,930,943,548,
293,014,268,572,763,446,443,908,793,493,682,423,801,535,724,156,564,671,252,
919,631,645,291,940,913,414,209,793,084,918,625,885,347,601,605,258,366,705,
492,783,229,039,808,477,943,283,724,237,989,675,118,070,824,950,391,393,227,
140,229,887,302,870,446,526,839,687,759,636,927,534,568,897,949,314,704,600,
678,196,668,518,652,652,025,066,222,572,827,586,762,738,834,873,295,750,935,
325,097,203,101,468,572,435,071,791,525,311,742,828,713,156,952,004,940,517,
449,142,729,875,928,960,887,887,172,502,485,868,152,241,084,983,101,648,635,
820,599,627,142,477,036,345,844,512,230,389,144,429,136,692,907,122,942,464,
239,366,746,468,865,596,022,275,031,905,135,962,133,584,562,876,312,069,585,
388,621,132,693,491,616,770,020,411,584,486,008,869,842,758,239,073,775,114,
371,136,484,346,089,619,195,962,860,126,972,268,222,689,134,431,533,647,535,
640,376,854,210,947,254,384,053,208,832,660,507,731,862,200,499,607,208,249,
530,691,719,850,159,722,172,118,646,926,713,049,211,318,066,845,189,863,309,
385,448,711,274,976,019,307,786,245,010,382,030,146,088,426,108,509,288,971,
284,106,365,787,828,189,915,781,494,130,183,667,927,409,637,025,242,637,425,
240,765,992,697,485,791,496,756,058,052,238,049,568,918,681,101,712,342,992,
312,110,550,860,675,918,900,047,071,932,986,749,891,622,751,245,566,323,671,
411,486,880,951,467,089,873,001,251,312,581,233,831,775,157,859,520,368,244,
038,169,388,752,247,107,719,876,218,621,695,037,902,320,186,574,580,112,863,
583,236,151,484,565,721,066,548,868,902,748,926,500,440,507,049,756,450,638,
332,286,828,278,695,599,311,593,670,235,258,388,335,173,117,333,692,633,181,
431,125,191,350,743,995,018,048,773,911,683,196,525,690,982,744,883,367,717,
566,994,495,890,143,071,827,209,098,840,675,145,787,243,544,490,502,852,313,
825,660,659,335,835,113,614,443,688,014,706,169,200,444,642,137,308,143,134,
577,813,863,781,068,395,143,995,870,237,128,767,786,010,197,305,636,188,746,
118,869,951,281,241,839,778,954,764,611,904,266,237,447,386,389,749,145,255,
377,117,186,105,898,519,036,501,800,632,453,889,634,059,735,415,004,269,765,
756,014,611,226,845,627,273,034,716,104,240,035,692,158,930,965,530,112,324,
875,204,768,887,578,737,449,526,174,104,991,031,733,657,596,416,994,603,287,
207,086,705,854,619,028,595,353,209,653,001,524,064,165,432,133,346,839,754,
180,566,990,469,855,267,590,961,337,735,474,516,603,227,453,321,984,746,309,
034,705,484,444,243,628,288,993,784,831,555,651,177,984,305,179,860,133,171,
120,539,183,671,333,615,554,809,962,516,836,240,894,828,728,712,251,590,014,
431,733,737,950,416,991,449,962,217,407,655,323,169,137,773,289,989,684,293,
235,426,001,184,841,763,998,341,744,556,818,363,722,624,159,046,249,136,374,
417,923,121,443,919,584,924,501,027,500,670,580,848,878,923,297,503,634,179,
268,421,807,732,500,122,926,539,163,830,846,213,396,068,774,803,220,658,029,
455,298,563,249,607,756,414,052,691,447,345,566,106,576,463,511,118,176,260,
846,527,286,721,209,234,313,517,126,917,087,962,825,456,218,977,095,695,048,
118,544,826,548,139,848,466,177,605,354,677,387,063,228,226,286,982,559,861,
461,958,826,891,597,270,783,905,942,053,955,131,913,860,802,525,487,023,027,
580,175,417,955,962,659,994,826,345,949,134,792,632,919,825,620,959,576,959,
285,401,951,794,751,776,178,204,365,648,201,740,390,291,802,869,165,229,661,
285,335,801,497,264,625,087,074,365,926,860,642,868,426,837,704,431,780,091,
240,266,352,014,161,606,434,061,951,527,771,429,391,921,769,953,836,874,180,
357,983,050,857,771,229,547,171,008,717,171,112,006,065,487,710,743,660,615,
465,203,723,976,931,818,423,389,222,282,846,981,960,615,380,379,281,632,627,
611,566,694,761,675,231,123,746,140,568,144,879,304,226,567,963,943,566,009,
352,288,958,592,602,564,418,288,482,593,068,731,214,120,431,306,642,721,366,
582,798,644,502,685,947,869,479,212,525,449,401,727,092,223,078,019,467,358,
162,568,282,820,920,366,943,936,389,400,520,787,051,448,939,345,569,245,577,
184,243,783,899,507,098,055,978,010,499,383,493,781,613,143,432,045,922,423,
065,862,109,257,428,519,566,939,643,200,183,695,240,706,160,493,208,910,622,
502,557,822,019,621,136,239,308,461,042,744,196,905,458,521,340,387,950,672,
730,125,007,304,512,054,987,735,449,355,076,383,396,619,401,623,064,434,304,
204,743,098,725,525,398,659,901,158,027,453,634,300,514,115,981,914,040,595,
036,498,731,748,129,280,668,996,153,566,672,036,872,988,502,613,115,986,022,
455,113,821,391,645,638,089,811,113,165,127,787,630,699,397,411,414,353,499,
568,812,716,832,824,185,720,699,331,567,702,482,012,867,180,888,495,433,948,
130,998,867,066,281,314,840,948,250,700,875,418,183,293,497,357,353,866,122,
789,440,397,025,087,708,975,311,571,172,674,933,401,432,700,738,220,993,993,
477,871,313,314,871,878,581,072,124,859,295,505,058,748,132,663,114,328,103,
347,585,776,055,517,236,183,222,362,868,884,275,788,197,114,123,476,858,174,
077,285,479,713,651,315,065,504,589,259,748,318,085,620,388,508,157,680,816,
908,843,563,267,234,508,695,286,903,374,433,911,661,342,881,656,898,000,969,
268,704,593,277,008,161,498,443,898,107,647,589,451,869,605,761,089,359,849,
196,779,863,959,135,447,179,791,723,257,932,258,606,960,704,535,945,569,650,
008,258,982,321,199,763,662,481,359,190,280,075,134,025,498,516,910,171,748,
502,232,724,912,654,388,053,826,227,211,430,900,549,427,200,737,872,065,150,
935,036,343,746,034,380,904,368,909,452,627,874,849,497,165,891,685,428,486,
123,406,745,990,152,333,766,879,221,255,392,753,537,322,726,297,725,977,574,
217,649,527,614,906,362,705,486,720,321,220,530,146,546,503,461,915,522,649,
853,954,718,102,524,284,980,580,156,175,752,365,943,809,463,639,211,914,429,
686,328,692,230,127,503,829,498,337,729,397,683,428,949,906,062,795,805,504,
295,901,827,979,778,236,631,283,290,785,443,389,105,213,966,465,635,220,300,
349,614,850,213,275,605,978,267,638,513,352,536,650,898,352,556,385,970,913,
348,261,002,438,066,000,661,445,842,895,325,917,716,184,816,059,969,549,225,
254,841,440,839,695,158,753,249,327,392,563,129,028,069,324,859,923,792,357,
551,669,510,486,715,313,179,554,968,449,663,786,298,476,147,314,764,608,115,
353,036,166,042,930,768,020,860,908,470,833,497,516,941,886,611,277,167,070,
012,569,282,630,657,511,981,796,310,590,921,216,852,869,435,057,839,920,022,
814,232,657,737,096,699,520,500,085,025,950,235,488,861,392,919,222,161,967,
003,619,486,167,931,488,585,158,846,684,047,746,346,568,709,360,111,000,385,
849,869,580,528,718,744,967,492,097,169,493,953,898,948,342,321,813,419,835,
467,916,411,896,624,192,263,632,579,499,476,150,252,238,403,855,437,233,989,
605,143,511,316,980,732,808,316,418,345,779,160,560,691,260,871,291,182,317,
846,484,651,810,920,658,937,066,906,121,077,437,839,210,326,509,255,268,774,
365,315,602,256,898,534,942,656,760,506,960,553,902,451,678,929,255,086,087,
095,026,354,668,747,590,663,176,120,613,628,676,294,056,490,497,669,556,764,
665,909,930,591,990,617,995,769,611,711,991,812,625,634,442,563,384,152,416,
113,068,909,580,889,025,439,437,763,512,967,437,610,728,804,547,259,988,333,
574,022,163,817,492,021,541,937,711,800,632,575,162,187,181,619,963,301,814,
961,184,518,002,638,894,298,083,562,165,556,047,385,576,521,402,700,510,470,
400,755,099,587,156,326,951,758,019,694,345,322,493,135,084,196,331,462,980,
222,004,706,741,581,505,830,758,631,986,039,161,492,022,614,758,090,834,496,
289,814,505,578,450,999,379,387,648,316,657,793,182,805,297,104,129,401,506,
195,937,470,367,665,826,925,000,802,075,468,605,039,458,476,239,913,769,184,
005,060,877,748,195,869,391,550,218,264,081,952,375,631,545,554,303,376,074,
969,301,120,457,093,796,056,894,462,307,438,399,395,794,332,827,126,111,702,
376,209,245,829,194,630,046,567,499,600,529,334,103,054,037,298,015,851,245,
923,263,464,074,901,700,599,586,858,728,530,743,670,563,871,724,319,100,528,
420,294,937,870,074,981,984,451,145,728,351,428,367,327,075,255,225,592,243,
195,396,174,671,200,747,895,124,520,093,838,827,843,573,197,900,129,741,601,
684,759,512,311,030,956,383,578,842,325,385,344,801,635,332,035,768,192,849,
263,515,711,679,285,915,958,090,135,912,159,611,968,431,289,973,705,880,958,
865,970,509,845,537,968,511,289,107,476,728,800,424,639,880,906,681,097,762,
835,975,073,037,426,156,635,210,156,938,804,579,260,034,682,442,480,300,619,
639,796,552,278,620,564,335,434,800,401,336,450,467,927,706,564,233,935,246,
337,905,159,338,132,009,452,033,538,344,229,053,989,713,674,596,658,383,355,
541,678,976,393,446,555,022,610,433,813,000,679,045,547,289,761,608,017,806,
681,503,698,544,280,524,850,695,546,155,691,051,387,774,046,032,833,320,689,
623,432,886,652,153,626,977,911,914,656,446,177,774,602,389,286,503,315,742,
900,916,887,444,850,970,920,343,059,049,529,749,065,968,892,482,540,078,041,
658,918,951,201,973,234,055,644,026,688,351,245,184,375,269,139,309,861,966,
405,015,445,571,183,289,992,086,044,118,277,178,961,156,226,993,251,987,182,
697,189,822,965,655,396,122,384,318,769,209,838,832,204,689,370,207,481,978,
988,035,895,059,609,362,758,920,856,864,725,974,677,645,307,573,030,587,238,
288,790,167,763,107,241,826,703,011,538,035,963,563,493,872,888,289,750,105,
643,093,148,985,062,759,212,166,647,161,415,791,201,491,053,686,443,316,544,
785,630,453,778,136,306,048,531,275,637,900,027,451,513,288,188,819,186,175,
112,572,707,810,250,864,815,714,089,685,367,319,371,328,861,526,334,137,772,
208,922,939,271,836,688,860,125,753,055,126,121,966,577,842,939,457,136,211,
003,563,477,930,542,477,053,704,731,450,795,316,942,198,905,518,095,654,429,
826,134,687,864,727,490,383,000,595,265,692,197,511,004,270,421,912,186,754,
134,928,212,491,910,216,298,736,071,941,535,998,567,027,219,934,386,207,156,
599,753,459,159,188,838,792,166,655,318,833,263,057,498,996,792,462,677,091,
979,813,355,219,400,817,209,940,608,799,995,771,443,013,553,282,171,335,879,
338,082,758,648,728,314,807,664,080,788,493,391,963,187,186,716,256,885,795,
055,461,439,579,709,386,710,094,047,507,560,415,760,968,062,684,360,388,756,
445,337,423,756,130,266,211,746,270,802,079,649,236,079,123,166,103,899,944,
644,760,987,537,355,389,685,443,593,074,448,960,746,521,467,545,798,904,724,
312,227,201,920,602,524,533,223,905,166,550,365,157,786,315,165,499,446,868,
883,840,099,061,549,931,298,243,308,922,773,700,858,840,156,602,448,210,531,
615,100,884,891,486,643,454,504,409,070,475,618,657,860,813,098,964,824,977,
694,791,550,382,472,104,748,406,866,776,863,300,087,282,652,534,495,846,139,
907,231,311,583,287,953,667,661,097,374,266,028,780,126,531,620,412,146,743,
859,417,691,500,309,158,409,754,696,287,195,544,017,024,589,252,375,269,780,
247,491,727,145,988,452,173,587,446,709,879,221,164,816,054,944,971,078,259,
767,536,920,060,294,107,778,212,308,756,102,771,558,755,451,545,677,106,336,
206,018,754,037,324,324,351,201,837,161,424,820,039,905,812,153,535,893,406,
188,802,094,015,993,281,960,615,295,099,221,310,949,176,793,552,423,721,739,
189,832,633,260,053,739,568,594,046,501,334,292,043,701,423,267,906,185,522,
915,775,202,132,599,895,515,782,324,289,128,917,451,199,651,258,796,901,992,
734,815,053,477,002,852,138,472,160,879,218,654,413,376,256,169,754,129,603,
715,364,675,801,368,544,275,321,593,507,613,674,949,306,366,276,274,427,477,
676,865,728,359,185,955,402,335,037,245,322,726,716,282,688,061,816,549,189,
267,754,429,864,895,564,818,351,226,345,695,248,417,517,846,833,478,994,158,
741,637,096,262,703,833,144,853,750,981,078,933,530,654,846,854,551,569,353,
671,423,782,538,334,063,563,988,148,108,180,986,060,186,509,648,940,493,669,
429,370,390,212,396,314,618,583,248,477,137,737,419,896,649,341,266,835,935,
126,419,519,811,011,845,263,338,465,997,948,995,403,917,901,842,037,181,019,
856,545,262,452,595,079,117,556,495,115,293,361,236,154,533,985,434,888,425,
487,016,944,175,536,180,480,673,334,068,863,403,825,139,847,913,542,844,770,
654,371,479,056,691,411,969,078,951,926,723,879,479,581,609,088,974,471,372,
253,539,325,241,286,089,066,667,795,854,715,793,824,771,665,917,238,975,721,
478,192,370,531,786,694,938,694,540,137,153,697,269,450,403,301,548,013,734,
152,110,058,291,834,491,348,260,168,983,582,145,874,941,281,727,120,557,783,
440,131,505,277,466,827,418,274,632,221,114,517,165,470,099,769,745,692,256,
336,401,659,806,180,066,110,321,520,160,981,270,615,345,086,830,674,617,978,
107,742,734,656,028,851,457,837,779,784,945,308,429,232,199,628,813,604,135,
015,916,296,020,506,807,360,208,465,465,945,207,958,647,820,516,069,167,115,
036,105,092,842,104,607,042,117,984,565,916,864,149,819,425,714,527,930,058,
352,879,162,839,493,564,238,220,948,504,468,891,713,600,192,407,779,351,288,
027,480,630,328,905,729,266,682,517,694,305,944,123,355,763,879,172,998,656,
787,266,637,281,012,337,708,589,472,814,048,913,192,201,819,242,008,841,446,
262,235,667,313,992,218,182,868,838,888,255,993,039,324,007,679,792,429,193,
373,435,539,883,634,416,376,984,984,658,311,759,865,989,703,115,124,353,559,
640,409,803,021,369,755,319,464,138,658,131,007,332,213,675,901,471,656,830,
558,627,277,789,729,699,019,524,033,160,390,753,135,096,582,357,966,024,998,
129,510,978,373,444,451,600,580,925,835,705,972,622,949,001,854,558,267,859,
577,043,461,636,567,204,074,699,836,695,139,247,966,874,418,297,692,649,976,
207,957,299,562,221,501,024,074,499,991,570,806,902,210,612,111,588,389,363,
441,419,770,521,386,668,455,367,536,978,703,542,914,529,550,806,696,729,822,
041,316,301,795,461,219,141,796,497,850,387,578,506,899,206,627,201,383,925,
395,122,788,554,466,654,881,213,400,212,186,606,829,296,331,218,980,700,780,
059,601,453,661,754,944,666,131,109,228,032,786,679,179,623,116,725,612,999,
140,370,056,018,384,020,803,849,520,450,014,438,183,992,839,151,347,869,365,
189,464,823,982,345,417,977,192,336,650,327,449,034,287,777,501,641,446,656,
114,314,449,446,280,106,223,303,379,650,799,728,176,985,687,488,832,850,782,
169,814,406,031,065,679,125,587,804,361,722,880,921,852,018,023,117,574,367,
324,385,312,297,830,531,342,940,585,051,563,556,890,721,483,019,615,323,094,
154,588,088,517,436,593,506,145,308,030,213,356,690,406,692,659,347,726,102,
963,379,207,624,505,025,811,132,720,392,677,385,085,695,901,112,299,635,602,
664,350,206,389,797,641,338,751,941,611,844,621,387,207,133,349,942,850,083,
621,053,615,480,986,035,611,441,295,865,916,730,925,523,705,676,473,783,738,
005,465,132,242,418,591,783,483,417,317,444,713,305,086,778,569,090,678,539,
634,467,534,228,571,268,163,553,778,793,789,707,779,630,474,890,879,295,237,
691,379,416,589,104,620,538,520,700,618,776,267,802,053,272,149,491,706,394,
732,154,452,379,333,276,644,222,617,052,493,468,921,498,850,385,108,614,012,
695,375,413,934,126,357,156,521,199,079,335,590,942,825,040,773,029,899,232,
685,415,480,873,642,705,582,587,739,607,575,266,665,763,516,360,591,900,058,
144,491,320,768,211,947,217,339,412,820,107,421,561,995,616,431,210,112,876,
003,201,850,845,125,183,475,764,564,192,202,887,999,990,032,413,749,890,454,
537,962,045,458,556,288,242,401,967,170,436,098,349,486,429,331,478,614,963,
803,198,980,491,448,597,596,260,100,729,558,979,976,172,097,502,626,278,376,
175,870,451,507,474,293,738,954,621,583,156,356,158,546,748,726,466,958,951,
953,701,130,819,890,910,200,325,126,131,734,260,716,719,615,054,732,125,712,
912,107,697,872,164,976,386,712,094,967,986,252,095,312,219,874,386,046,050,
032,710,429,509,627,161,519,171,846,992,210,905,432,516,058,409,607,091,242,
960,032,827,782,027,912,548,887,625,269,378,069,729,591,083,319,534,582,991,
820,534,968,807,628,921,356,745,468,110,190,222,869,048,941,686,271,685,794,
643,556,351,717,076,140,735,824,469,689,677,992,684,199,532,047,547,994,706,
492,576,593,130,518,976,695,348,382,447,869,835,204,933,723,529,079,711,228,
097,668,096,480,349,034,875,921,674,178,098,447,291,713,687,146,536,654,429,
434,282,618,183,804,299,576,071,946,595,598,828,236,178,061,361,126,344,093,
358,963,916,064,264,863,078,116,142,853,334,021,928,643,513,952,627,110,746,
682,488,850,721,303,410,981,300,455,234,965,502,132,574,063,349,831,695,559,
508,583,406,747,595,422,657,357,090,585,916,851,656,279,690,110,460,658,707,
103,500,173,381,146,994,591,357,709,229,428,545,531,269,332,526,717,015,080,
007,835,479,012,009,350,292,790,532,450,486,737,394,930,603,367,751,124,279,
096,629,646,031,283,564,350,571,081,604,302,387,085,669,371,230,728,577,569,
597,496,165,005,000,844,005,274,987,110,714,378,135,518,272,624,221,035,031,
585,235,494,543,120,347,855,903,931,041,954,242,820,943,026,037,844,172,681,
220,858,669,382,662,493,949,484,796,278,117,235,864,998,797,631,405,819,797,
732,370,024,500,345,921,105,413,836,886,741,308,592,182,387,646,038,275,298,
447,906,968,414,026,197,634,959,741,236,529,125,698,260,671,821,079,797,346,
754,955,579,555,919,392,284,550,033,332,536,991,980,923,662,122,659,661,723,
899,070,933,221,728,322,169,266,225,096,645,785,872,023,029,708,886,058,274,
305,281,701,978,447,311,841,512,499,022,542,343,827,305,759,835,497,501,066,
055,661,269,939,282,603,844,214,770,287,745,201,102,327,035,528,300,801,040,
350,144,956,971,097,092,611,383,135,443,807,206,511,309,216,288,571,727,032,
890,502,440,564,684,452,606,219,584,260,212,671,726,722,709,868,449,034,136,
915,278,786,941,934,890,193,828,092,668,821,200,929,635,831,469,078,942,908,
010,746,206,489,058,192,041,741,770,008,770,109,991,363,421,891,621,920,039,
874,248,335,423,646,345,743,032,554,434,568,040,860,551,132,052,101,696,810,
979,324,623,437,930,558,241,362,900,105,455,841,938,724,759,007,340,459,998,
801,969,696,246,332,638,374,605,653,278,889,333,093,719,402,372,040,375,439,
469,846,730,902,744,385,982,254,636,866,829,801,824,609,206,479,920,221,268,
438,806,311,280,215,900,866,003,637,917,525,583,605,289,511,213,499,944,589,
832,119,914,599,244,139,151,586,912,669,798,623,870,091,366,252,734,914,743,
549,743,174,966,475,113,249,463,821,394,875,912,328,822,681,245,853,533,803,
572,958,601,395,799,369,746,174,920,501,877,145,332,465,965,193,415,421,917,
459,036,486,598,570,045,654,032,298,352,833,550,065,847,648,805,688,804,952,
118,852,683,191,983,803,850,310,112,033,298,832,958,926,975,414,178,616,620,
287,175,395,008,444,804,260,536,104,841,035,824,299,131,929,059,235,337,125,
509,577,883,892,267,143,972,041,020,480,807,158,529,512,928,314,839,844,225,
410,462,420,902,319,153,257,827,499,182,436,959,964,111,369,235,249,184,504,
919,042,287,546,518,879,389,247,241,174,609,569,881,309,722,425,165,361,788,
294,989,012,873,108,548,915,951,896,106,911,752,073,006,693,019,965,500,327,
779,288,624,817,739,438,014,898,287,427,010,722,373,625,381,877,712,650,484,
215,193,621,546,319,055,861,022,406,895,958,950,027,182,976,235,118,683,315,
207,964,395,010,339,883,027,735,439,336,522,572,313,531,759,838,947,212,701,
040,136,502,688,643,462,236,472,432,276,770,012,551,107,327,990,367,930,707,
321,152,275,175,387,305,394,567,755,369,488,765,977,355,131,157,068,545,552,
911,378,607,537,988,735,513,631,506,536,969,648,656,886,813,182,623,205,536,
017,535,971,420,154,146,006,752,613,597,824,658,977,140,441,916,438,852,943,
508,876,867,814,702,549,317,491,626,420,132,637,781,185,669,830,006,713,077,
667,051,788,818,739,222,137,293,428,444,445,455,008,088,780,012,957,730,751,
133,612,659,852,618,263,650,750,161,312,931,848,493,571,985,154,633,629,936,
401,538,271,511,379,643,663,301,552,928,803,835,450,043,431,169,469,933,753,
540,498,969,610,323,030,976,870,476,892,708,291,371,717,333,023,580,076,391,
540,259,933,532,370,010,197,689,570,013,605,072,933,369,151,769,554,340,072,
922,985,157,689,880,408,360,925,659,273,191,680,295,263,313,670,586,342,488,
829,654,546,838,634,982,301,598,072,955,022,350,420,389,645,217,903,808,195,
868,352,010,361,635,049,567,603,662,747,906,900,368,747,238,962,969,612,783,
307,454,505,615,124,957,762,270,671,340,712,056,617,940,712,977,053,936,791,
053,393,022,759,668,916,098,656,933,131,891,937,471,911,672,264,800,931,628,
730,029,898,098,383,887,922,353,161,569,942,999,830,142,130,064,933,274,880,
722,623,667,854,973,977,203,291,620,459,718,190,658,442,391,172,226,954,790,
904,684,127,567,594,573,307,728,259,079,143,886,738,146,392,096,046,577,109,
888,794,100,127,022,791,567,322,958,252,897,324,379,638,690,060,947,455,019,
002,810,322,050,946,083,005,436,059,099,384,758,425,693,462,759,782,254,896,
903,180,938,832,590,519,822,661,313,855,800,901,514,843,986,831,890,217,785,
267,235,358,683,415,656,440,645,292,075,235,088,823,029,884,552,450,172,995,
636,119,497,595,395,640,223,029,986,037,831,026,299,430,559,803,893,837,010,
967,301,907,344,776,545,912,278,918,631,982,279,264,194,233,654,497,373,081,
350,234,092,535,399,617,893,517,262,740,489,830,270,263,147,339,837,439,004,
159,018,865,766,097,470,738,242,191,966,691,573,840,014,700,557,398,069,359,
421,973,007,784,009,024,460,919,264,987,749,265,560,717,190,737,899,383,883,
906,002,132,470,032,232,304,709,313,172,109,514,129,776,228,976,005,867,351,
842,148,183,301,010,639,790,093,176,956,923,441,054,824,141,633,037,594,269,
805,163,732,924,984,551,491,364,660,659,687,846,417,642,994,925,926,734,631,
237,116,345,682,044,744,802,628,950,274,824,885,163,526,485,936,347,854,847,
454,847,255,437,777,219,227,111,954,033,128,978,344,212,365,504,399,839,636,
370,617,058,637,727,570,662,896,498,627,960,649,251,793,070,870,408,903,201,
016,267,942,688,667,123,982,296,915,589,623,106,031,519,814,882,786,042,638,
993,048,281,775,710,106,825,292,010,336,030,455,799,416,170,846,770,846,975,
163,784,394,913,917,712,586,555,519,072,033,804,545,329,548,515,597,852,899,
137,743,037,064,243,785,226,065,441,345,795,554,944,183,582,649,254,744,033,
438,970,954,182,784,589,641,092,611,360,237,971,669,300,479,610,868,924,457,
106,903,695,554,773,129,976,476,544,142,227,332,272,091,494,201,689,780,049,
599,308,632,939,805,316,013,202,180,708,282,462,888,672,093,377,000,027,888,
027,980,759,071,512,225,497,329,921,980,038,228,143,133,004,056,446,297,390,
406,460,610,352,158,462,777,978,174,878,982,874,795,871,649,583,435,025,340,
669,405,316,357,688,625,746,063,566,283,196,957,646,640,782,413,923,799,029,
876,452,981,294,139,635,304,713,711,631,657,610,744,744,906,596,029,254,341,
052,993,617,884,849,275,884,107,466,416,586,920,737,801,339,747,088,457,732,
173,509,346,030,194,850,198,883,918,463,500,063,376,363,604,026,492,996,125,
255,575,161,505,919,786,599,448,473,051,664,201,505,024,501,848,502,516,776,
841,385,446,590,917,123,127,670,739,377,703,725,452,096,709,685,318,393,939,
616,436,978,087,113,569,682,455,372,460,321,021,951,480,438,802,975,198,311,
515,429,122,543,059,461,735,737,447,330,106,156,053,792,151,756,095,719,348,
834,316,244,977,545,075,759,742,270,141,855,003,526,131,428,716,460,903,690,
969,207,193,919,856,089,005,611,786,447,746,355,919,693,504,056,472,171,919,
612,845,712,430,160,604,371,196,929,622,831,398,550,720,822,623,492,386,540,
525,375,363,649,904,114,332,102,320,713,071,327,300,465,973,744,882,235,560,
207,269,307,833,009,857,268,428,434,165,547,014,120,666,351,569,869,845,777,
768,377,264,080,408,994,390,447,820,194,552,596,365,830,561,348,137,876,396,
621,813,006,674,748,756,887,349,271,278,848,788,958,645,416,291,806,647,083,
271,271,030,542,405,743,636,901,023,155,847,334,407,329,593,879,644,226,077,
346,720,116,996,778,162,293,660,706,733,153,518,533,393,407,714,140,179,431,
716,196,791,424,953,484,983,971,857,669,670,324,077,607,782,512,832,149,627,
728,937,213,545,363,591,919,682,385,075,971,634,076,260,096,060,165,352,538,
445,243,894,847,745,348,734,848,342,309,078,303,181,502,132,570,049,859,567,
741,348,208,381,700,964,210,440,309,928,061,978,101,313,498,153,636,892,680,
979,056,194,099,463,434,127,816,196,140,994,703,039,725,541,740,636,884,346,
536,494,014,456,198,341,636,593,893,501,030,107,822,335,504,218,999,554,467,
689,368,589,505,428,462,826,311,848,646,058,162,815,514,859,294,626,772,947,
960,475,050,413,601,088,925,442,502,756,523,847,303,346,713,483,090,406,027,
138,412,273,439,918,982,637,406,723,046,662,270,612,484,361,896,520,786,364,
161,737,912,932,615,949,871,587,156,181,968,671,958,021,436,299,767,068,612,
554,215,716,327,267,885,676,028,557,974,582,268,064,244,990,809,444,748,640,
563,385,199,575,945,560,338,311,188,066,301,320,374,333,021,831,955,925,669,
950,853,426,472,583,235,969,421,498,627,547,682,864,414,385,497,139,011,054,
564,587,681,117,391,913,682,700,624,235,897,879,407,743,121,868,776,890,536,
255,676,897,301,557,546,133,169,462,631,278,197,893,103,660,315,623,937,148,
442,419,403,097,827,267,528,895,420,225,467,327,966,534,655,270,299,400,903,
451,695,198,922,117,504,316,713,896,683,189,837,440,423,105,371,989,920,170,
876,889,432,897,456,496,547,651,861,565,146,259,705,408,960,169,283,886,210,
528,302,350,248,279,537,769,916,387,228,888,496,733,338,694,724,787,823,001,
044,534,473,179,397,525,461,852,446,148,746,192,792,628,507,408,332,947,084,
020,395,318,053,377,746,663,541,793,775,443,335,931,086,550,828,552,187,603,
253,344,366,067,615,627,530,154,890,006,595,141,081,213,855,934,660,093,414,
579,444,693,566,016,311,647,173,487,078,301,059,978,056,730,111,893,587,430,
054,845,083,452,496,284,431,628,685,460,889,340,656,458,395,107,746,685,277,
532,386,104,858,395,400,516,546,537,848,446,101,739,332,827,079,985,996,294,
343,296,859,158,560,846,186,900,799,673,479,843,782,684,833,417,594,112,927,
286,167,401,283,378,385,756,712,130,900,550,535,771,488,524,624,341,103,086,
172,548,709,208,268,019,590,239,194,244,433,423,591,503,525,273,659,444,728,
270,622,634,420,140,660,968,200,520,357,849,733,478,296,401,748,520,921,758,
012,327,267,332,463,161,239,416,979,478,728,896,065,741,191,272,065,307,998,
762,541,520,894,332,692,632,324,326,647,273,503,970,147,516,751,530,763,048,
137,629,932,510,525,884,492,181,996,248,066,947,669,841,987,451,831,400,067,
036,199,328,591,689,257,093,522,239,652,222,353,221,595,211,641,838,099,558,
676,793,371,650,474,873,893,078,059,264,498,656,577,733,881,978,968,850,078,
967,079,193,323,093,163,777,190,282,685,474,109,931,901,537,595,278,925,755,
776,446,588,699,701,679,472,364,642,292,255,120,298,056,952,472,541,058,453,
211,373,031,452,907,925,787,504,709,604,914,690,833,517,464,179,795,937,406,
955,208,814,032,748,053,807,568,756,758,613,523,495,863,000,432,821,266,709,
903,588,459,140,627,827,986,298,339,080,760,644,026,272,655,909,037,200,158,
159,982,834,277,534,192,859,631,372,039,890,275,202,376,214,048,077,367,048,
241,146,500,603,551,976,358,641,544,325,265,799,620,199,008,317,298,221,275,
856,023,966,809,042,084,978,298,775,344,487,477,300,938,495,725,659,401,843,
946,279,483,872,035,474,597,660,335,359,543,077,689,368,508,996,353,477,997,
252,295,826,497,310,457,293,139,970,648,797,269,069,502,511,554,615,567,436,
336,286,900,863,433,725,516,474,745,607,501,141,413,291,496,216,248,309,699,
138,058,963,858,843,512,954,005,315,193,359,049,565,453,815,296,106,189,322,
165,723,968,717,506,761,790,998,448,037,714,230,503,703,242,158,757,219,116,
456,063,239,695,663,643,884,806,264,920,413,032,793,156,883,373,290,516,448,
805,643,189,446,266,050,926,559,522,840,668,912,977,391,707,327,171,508,374,
944,875,790,831,316,591,766,138,625,560,844,634,517,543,678,589,847,911,532,
464,400,038,863,044,652,094,187,338,667,351,089,601,230,013,159,871,029,159,
380,850,649,372,191,257,750,582,700,325,983,211,823,729,748,641,645,202,387,
385,153,293,030,400,681,805,614,912,674,451,916,229,831,037,281,452,897,201,
089,110,958,539,840,559,967,334,167,201,375,373,123,720,390,999,851,009,364,
123,107,301,881,557,774,859,159,617,737,662,902,384,143,153,709,244,304,094,
420,100,348,256,082,222,568,728,526,920,320,436,223,106,997,539,206,727,767,
053,392,096,435,909,759,516,594,887,188,959,388,057,235,937,223,027,836,705,
900,951,048,332,746,510,968,595,677,989,624,350,825,630,037,461,851,840,935,
788,637,346,538,055,609,850,223,443,465,743,795,787,292,854,422,226,710,455,
456,562,654,531,402,983,239,994,013,573,756,962,286,586,732,072,153,791,729,
263,306,135,247,214,531,035,950,538,133,732,137,622,131,940,017,499,138,131,
189,118,276,563,039,598,413,424,521,188,877,539,289,706,849,393,240,120,857,
282,927,019,052,833,871,891,103,694,897,758,510,615,808,529,356,149,724,537,
358,536,002,869,198,873,885,695,683,891,963,661,364,684,757,473,590,543,013,
325,286,780,021,270,921,139,406,296,185,186,687,062,052,597,152,028,940,282,
075,747,123,526,353,421,863,437,565,097,497,238,424,032,498,239,824,536,471,
331,203,085,271,645,721,030,864,152,620,010,043,121,365,192,581,858,549,627,
395,936,196,740,896,181,684,663,515,509,910,945,380,481,163,456,942,248,131,
853,704,262,371,127,065,637,043,680,141,686,758,445,237,304,067,436,822,436,
207,968,866,520,351,406,366,783,401,074,523,213,784,237,388,727,355,219,304,
714,691,845,190,585,633,233,843,468,480,971,652,590,120,871,720,129,651,342,
527,754,949,735,252,944,888,416,570,800,489,677,461,999,886,094,434,431,264,
624,124,475,912,671,732,593,117,419,684,876,058,686,068,903,961,220,806,932,
591,620,796,334,750,536,217,582,604,988,024,004,355,564,826,474,461,360,091,
903,228,177,151,576,243,456,692,761,697,649,897,484,450,769,973,572,739,949,
371,611,155,263,383,977,287,332,819,337,319,553,326,486,328,487,030,562,216,
893,288,979,922,558,610,365,387,975,492,932,570,299,308,723,907,311,270,806,
430,653,518,018,870,987,775,509,738,703,167,317,125,148,939,699,767,015,181,
183,756,632,564,903,546,057,736,771,537,317,494,976,533,045,069,761,344,154,
253,450,973,400,481,375,053,746,389,844,736,056,550,981,042,567,781,282,964,
527,968,094,408,822,111,668,884,017,789,366,335,404,497,645,602,255,996,084,
445,686,388,402,910,180,764,331,448,267,377,809,165,058,272,158,417,508,212,
758,808,830,214,066,888,851,356,568,350,136,909,729,361,171,538,601,370,997,
975,494,180,460,012,236,645,106,061,012,332,748,663,285,216,312,256,370,029,
058,378,695,045,699,928,489,260,336,730,654,112,368,369,680,903,521,937,969,
307,543,434,226,081,017,807,057,398,273,144,335,168,262,616,472,080,751,780,
786,073,038,394,971,679,494,717,852,256,797,334,651,508,002,905,254,094,520,
203,746,446,022,757,279,119,903,581,479,954,618,986,164,077,220,669,392,925,
333,441,087,113,218,599,624,414,892,477,743,162,966,137,343,308,185,726,975,
333,011,508,526,806,167,508,328,855,135,312,842,704,987,351,299,168,149,523,
551,718,224,366,598,881,712,275,607,018,107,572,532,063,655,759,010,830,609,
924,076,479,856,056,528,767,652,956,536,122,188,155,621,883,552,892,023,918,
692,684,466,570,095,754,233,245,775,555,384,024,861,443,333,329,465,430,888,
136,586,715,896,787,110,880,985,557,385,138,053,144,755,010,784,683,877,402,
164,417,442,643,806,760,509,512,428,405,661,616,516,541,448,795,340,826,947,
695,880,340,159,214,295,343,933,915,367,307,483,348,844,853,137,196,927,158,
319,598,639,043,543,571,095,167,614,743,334,936,840,548,475,703,360,328,667,
861,716,231,344,337,260,889,747,551,219,982,169,966,568,995,789,010,195,549,
053,363,233,427,444,535,489,060,379,402,791,175,719,938,678,996,161,712,474,
336,898,063,305,005,585,369,162,815,741,199,817,415,091,362,270,190,841,182,
871,737,737,484,652,753,548,432,371,283,889,716,128,770,966,499,082,094,524,
307,541,800,020,185,106,773,873,391,225,862,496,308,524,651,304,792,493,661,
059,139,767,782,291,875,957,828,892,137,807,321,367,681,372,091,619,520,703,
220,801,394,295,030,939,809,414,056,168,945,249,200,865,838,068,408,087,524,
876,728,184,357,151,486,268,274,588,332,352,687,361,060,395,216,987,988,076,
795,550,184,017,792,980,604,075,502,670,144,334,822,131,160,343,242,869,125,
406,906,011,029,431,047,589,608,472,322,244,705,830,652,016,782,438,019,792,
567,190,940,547,819,971,353,614,474,958,605,017,390,647,305,366,482,695,960,
706,484,074,633,579,306,535,368,661,744,309,896,003,065,619,177,296,734,265,
684,044,727,054,708,539,047,840,700,521,962,380,154,802,139,526,569,733,518,
332,848,406,303,996,618,219,486,271,484,558,960,159,857,111,963,225,446,528,
921,421,900,062,225,009,260,787,917,541,551,233,707,593,342,459,453,236,982,
752,757,695,980,519,070,305,295,378,162,256,228,963,370,691,701,232,240,448,
078,348,104,693,192,900,359,581,786,494,489,705,603,293,929,764,019,384,992,
027,673,691,548,236,273,162,230,645,790,863,008,133,978,427,835,626,376,017,
047,526,378,820,772,950,777,099,235,274,654,008,847,201,177,977,757,269,929,
209,521,928,884,707,943,463,992,120,946,340,042,587,539,869,157,263,782,142,
268,020,344,930,183,190,385,888,695,330,813,908,578,051,969,633,281,641,610,
432,533,320,481,430,790,592,773,728,098,157,934,251,852,724,092,589,148,928,
635,963,539,266,147,628,113,093,722,778,121,214,647,535,400,850,874,842,642,
617,447,639,902,982,234,026,462,852,282,701,495,152,784,624,048,157,954,686,
839,393,688,493,602,745,219,665,054,199,088,940,844,398,777,298,266,399,815,
531,482,445,470,376,523,807,358,379,439,781,688,805,577,160,463,895,539,902,
068,435,687,410,628,466,241,497,190,438,016,995,739,921,889,319,723,827,690,
888,945,582,172,543,006,858,988,332,099,797,864,985,621,682,172,316,579,987,
254,761,767,824,083,818,654,909,974,360,463,695,439,491,160,702,743,528,885,
163,669,428,407,944,667,434,897,021,932,330,557,053,212,273,912,402,386,185,
973,937,066,161,216,617,006,386,180,757,511,201,501,192,837,773,736,131,916,
592,634,785,944,941,898,821,128,670,528,663,979,919,342,029,749,471,407,450,
129,001,465,077,033,019,676,112,928,712,922,593,480,735,674,746,604,664,550,
214,415,608,719,486,333,707,269,384,540,474,208,172,503,929,786,746,863,279,
108,217,674,979,151,451,095,007,831,825,670,633,426,186,281,716,497,651,337,
860,123,626,862,224,187,453,008,913,927,564,264,743,418,047,024,975,248,599,
069,451,214,913,136,723,000,121,577,343,508,831,241,550,058,806,309,986,931,
657,452,411,756,457,471,357,225,652,824,319,884,707,319,168,831,021,871,389,
165,350,467,744,645,394,334,726,114,902,340,248,935,903,013,814,499,676,844,
562,499,282,666,081,817,287,884,668,693,881,197,445,502,808,382,359,462,717,
573,346,153,919,268,245,271,822,902,027,844,278,736,478,623,189,517,004,995,
235,813,414,982,068,080,518,737,736,019,488,042,366,897,864,711,173,229,587,
121,167,030,816,108,282,626,815,584,943,290,947,375,290,392,910,768,238,262,
402,329,438,526,170,812,319,097,286,423,878,754,195,628,889,766,820,990,996,
263,069,473,911,731,655,727,131,290,482,476,485,023,569,213,761,632,838,347,
662,568,325,397,834,796,138,291,576,212,755,340,379,455,360,791,041,379,646,
821,611,308,749,565,610,401,516,238,322,253,006,649,795,599,951,825,240,285,
698,109,926,189,001,629,148,016,531,034,559,154,143,749,721,382,311,826,248,
996,775,934,019,713,383,779,137,863,142,229,184,752,627,138,427,012,340,774,
672,269,873,318,977,177,596,449,464,889,665,034,917,367,271,405,582,904,434,
788,882,274,270,491,272,275,269,099,826,693,432,880,483,116,303,835,573,098,
456,315,314,805,379,566,965,178,356,417,998,836,315,206,348,801,180,666,138,
754,113,932,037,596,438,454,522,155,362,714,655,083,486,301,474,228,784,119,
971,157,696,491,593,655,366,132,799,094,286,688,160,909,734,423,729,440,863,
088,615,234,581,894,840,403,716,258,253,613,252,976,799,940,439,226,440,722,
554,375,539,716,358,804,717,568,468,046,925,190,145,197,896,181,501,123,824,
732,495,709,511,470,209,200,889,328,439,375,613,463,875,212,482,739,232,733,
156,223,670,415,345,489,768,001,374,967,676,662,336,920,625,527,962,908,864,
647,733,438,370,882,014,169,935,235,005,377,260,373,422,055,953,343,430,840,
893,201,159,503,436,057,276,625,700,211,399,909,444,507,175,434,776,008,674,
417,532,435,511,037,265,064,508,537,076,618,508,996,816,346,368,605,129,140,
799,550,436,537,962,255,465,246,513,264,561,821,598,129,487,769,714,210,581,
304,043,157,580,277,902,960,590,427,108,913,434,437,721,259,061,693,314,087,
427,447,411,252,908,874,860,333,008,804,254,489,274,864,700,505,477,369,573,
842,714,050,080,620,469,060,737,795,496,440,729,909,530,472,161,470,134,774,
664,743,580,957,895,681,849,144,384,005,401,014,824,457,552,329,006,904,862,
424,941,910,401,847,071,734,883,858,551,294,079,246,991,849,252,994,935,335,
647,764,631,699,869,884,006,714,978,468,243,510,165,830,727,724,550,877,844,
712,510,276,761,465,223,601,573,393,633,147,723,604,224,265,403,036,422,133,
951,144,292,955,997,110,101,162,712,057,778,290,202,213,966,823,424,979,886,
327,946,235,466,316,378,017,131,668,510,185,661,338,042,014,219,992,083,634,
333,529,478,622,014,757,591,802,309,659,176,572,160,753,934,178,681,100,531,
989,244,489,263,367,896,426,035,889,690,011,394,493,833,411,522,629,380,229,
503,798,350,372,400,260,187,527,277,975,599,229,255,919,921,322,746,565,890,
628,385,167,833,094,012,647,648,663,310,708,581,348,733,617,683,476,745,565,
231,670,930,854,150,065,785,520,215,587,815,958,335,044,636,115,241,528,992,
664,819,671,508,359,076,735,307,083,976,861,353,709,406,753,029,369,986,154,
556,059,744,478,891,194,973,420,481,050,240,466,935,053,745,302,795,456,752,
906,289,539,697,337,182,351,188,448,499,295,074,094,984,821,729,018,937,513,
095,251,938,584,617,390,120,750,803,875,042,327,001,240,771,574,777,725,834,
366,324,878,320,367,688,294,962,512,740,892,000,549,293,156,629,235,708,862,
993,275,863,000,525,640,854,438,922,508,478,628,594,770,951,719,128,782,333,
972,511,571,757,329,835,068,983,245,376,709,077,862,442,929,143,470,163,061,
324,970,920,820,960,722,443,234,521,813,822,017,066,373,152,251,684,291,445,
022,085,423,300,320,678,404,151,192,691,880,306,081,812,908,688,965,731,440,
557,289,006,271,915,730,003,553,916,227,091,576,095,445,812,123,294,103,773,
905,404,730,148,621,493,890,849,135,137,761,453,652,875,905,507,116,400,400,
536,576,520,566,722,965,120,418,803,363,229,346,752,633,842,696,019,131,099,
665,976,939,492,555,502,695,748,429,049,149,327,887,779,971,340,343,085,534,
091,589,126,425,647,538,466,516,036,667,199,710,504,770,984,850,722,717,858,
591,193,860,364,169,582,893,618,581,856,499,393,130,893,991,503,670,006,276,
114,639,678,309,381,425,918,607,330,564,408,644,268,146,869,335,733,655,016,
654,683,840,010,724,635,225,968,790,122,226,575,807,459,177,304,743,412,812,
084,047,403,148,170,721,122,539,290,916,515,263,845,828,134,551,465,081,127,
222,020,292,708,265,111,921,541,569,814,546,018,730,618,696,967,846,375,511,
265,191,097,724,875,715,003,596,449,836,798,083,080,125,660,106,027,230,546,
909,549,575,613,524,494,479,650,571,173,591,294,695,276,373,616,907,643,114,
527,265,376,812,794,571,485,616,296,325,454,496,201,965,276,403,352,780,220,
046,961,326,187,258,295,449,970,262,670,153,976,508,421,667,609,806,920,434,
736,408,605,805,323,450,038,940,735,702,409,703,659,187,651,192,457,177,404,
347,565,871,700,458,217,977,200,292,386,632,571,174,037,190,959,133,476,307,
206,949,014,242,426,659,443,527,884,044,213,773,208,616,376,222,672,402,867,
334,132,696,605,094,078,448,088,646,893,652,633,230,043,862,600,470,738,627,
561,255,121,093,329,581,700,309,911,501,109,149,696,471,905,908,871,997,098,
577,907,469,433,130,585,881,382,744,117,159,676,931,744,642,350,008,616,369,
801,437,802,079,710,487,615,528,519,782,279,014,535,169,518,444,507,637,727,
368,830,256,726,455,260,380,635,961,420,547,643,635,308,360,181,746,267,525,
931,780,362,728,922,343,394,663,637,162,019,429,715,109,049,713,622,918,988,
051,434,753,750,484,036,624,631,597,786,886,992,949,447,265,060,108,083,507,
764,436,631,443,814,052,517,374,543,361,967,867,385,636,481,550,889,907,458,
431,594,821,210,620,534,229,822,272,881,321,220,333,173,365,302,899,462,054,
501,875,546,678,220,584,101,160,233,463,628,280,069,160,364,397,745,197,588,
559,925,442,023,366,726,954,329,202,772,024,790,845,678,472,007,062,786,653,
457,692,462,815,257,420,250,420,976,722,178,626,138,490,808,465,849,667,262,
921,985,774,135,697,933,523,741,362,504,747,697,495,735,134,248,930,392,920,
021,969,129,683,339,072,890,231,246,922,913,898,816,576,451,539,581,114,009,
615,251,546,124,232,836,171,576,087,090,323,190,438,516,172,989,959,716,256,
810,869,175,224,172,324,880,492,379,989,667,859,784,189,134,082,832,847,265,
558,157,516,449,482,475,582,296,363,546,901,877,426,774,782,105,202,223,447,
262,664,810,667,070,954,056,521,695,582,130,958,379,116,911,782,346,558,497,
317,355,763,233,507,347,090,956,822,845,769,635,566,723,975,896,683,604,120,
473,203,364,753,509,687,288,636,276,744,746,969,034,361,195,609,948,310,189,
225,445,236,043,470,207,902,610,432,051,886,403,988,145,273,412,312,952,896,
615,722,600,089,767,223,490,423,382,191,758,870,474,727,499,243,153,370,571,
364,300,118,336,818,993,532,741,484,367,684,357,627,824,988,325,069,852,180,
544,857,217,815,269,208,314,365,058,165,215,014,066,556,662,509,971,822,600,
748,083,483,662,934,760,755,815,816,532,836,687,855,283,619,641,500,570,342,
198,813,012,733,915,756,595,026,454,397,799,453,829,875,808,867,826,286,491,
884,758,505,182,706,735,774,990,949,810,175,239,531,653,176,797,416,853,918,
305,618,234,931,459,242,249,198,811,049,850,727,819,757,512,043,077,457,634,
703,734,300,157,990,554,340,064,011,551,141,506,352,846,554,875,690,582,971,
926,525,338,550,552,630,818,708,188,428,111,081,901,055,395,780,260,425,474,
124,805,823,397,940,292,907,955,936,406,101,381,043,572,982,061,623,991,734,
911,032,699,215,976,626,752,218,389,956,715,143,551,545,700,703,183,896,907,
300,363,256,395,950,091,536,404,518,514,594,625,046,184,847,259,146,371,433,
714,864,241,666,493,292,218,411,379,519,400,220,958,217,437,042,281,745,164,
183,868,375,152,362,653,818,898,122,633,855,697,783,226,985,198,535,526,557,
298,133,635,280,412,764,674,141,001,480,007,069,713,992,767,602,913,351,217,
561,603,748,715,402,618,455,640,883,193,139,888,616,890,545,898,999,290,286,
846,804,097,625,960,455,562,011,716,629,831,176,447,970,191,573,839,493,155,
653,846,610,374,409,188,353,998,407,084,042,028,244,622,568,991,824,383,667,
317,744,279,531,377,626,141,436,136,168,550,932,803,606,890,643,398,449,184,
351,446,577,255,859,811,146,869,842,797,472,569,520,333,604,031,555,607,082,
557,726,242,827,233,655,568,776,711,709,499,740,489,194,158,982,119,995,985,
716,826,373,216,760,456,902,511,697,594,714,042,734,927,316,400,214,297,335,
413,850,958,035,518,529,570,654,183,294,217,923,539,695,990,371,920,333,671,
132,928,579,873,205,023,507,425,087,357,888,787,489,198,145,136,594,646,849,
402,026,037,082,067,187,258,404,252,037,368,310,389,124,584,485,531,687,991,
297,049,752,526,625,259,636,980,809,410,808,572,878,990,960,970,468,737,981,
277,510,832,315,208,661,225,307,198,656,374,359,787,334,174,347,869,938,583,
129,136,452,822,899,569,345,224,049,120,637,766,796,032,621,359,619,002,351,
908,702,375,575,080,405,459,043,668,431,888,049,857,384,745,555,385,213,350,
672,902,669,994,537,643,151,516,661,856,301,507,383,377,375,986,877,996,277,
719,543,350,621,046,023,576,869,235,063,891,133,874,383,839,191,712,759,897,
889,335,878,379,060,006,042,434,927,802,559,169,140,389,611,561,999,532,017,
228,612,895,409,390,838,481,448,182,198,901,030,534,564,933,700,074,258,384,
523,418,174,619,878,722,404,504,825,274,084,095,558,575,942,495,742,736,012,
243,967,583,515,515,135,020,514,549,298,383,401,948,293,479,610,261,514,331,
055,263,398,528,265,242,979,257,392,029,830,983,197,399,426,733,069,064,899,
666,243,168,040,129,144,557,675,754,750,040,934,621,357,639,806,426,717,816,
736,377,091,863,048,880,592,552,711,589,107,178,808,883,786,867,561,478,650,
843,642,541,202,385,902,217,355,743,837,349,829,005,394,370,604,293,099,381,
050,421,001,922,467,766,624,907,219,092,816,475,859,068,810,039,695,800,557,
796,002,436,794,616,438,265,746,763,365,231,206,544,613,493,959,666,520,747,
382,731,610,774,962,006,438,991,875,491,036,827,240,322,473,586,841,774,951,
237,957,996,299,206,416,614,943,592,182,818,495,424,625,678,251,991,482,457,
678,071,166,042,323,230,329,066,301,413,561,953,776,894,863,669,733,163,778,
674,675,393,655,828,102,292,021,401,476,383,954,555,180,879,373,584,917,872,
259,127,802,163,646,284,706,431,620,871,525,452,099,582,522,294,968,031,440,
211,515,154,195,488,027,646,327,183,157,845,663,766,691,162,025,827,992,614,
739,464,811,384,145,829,012,763,952,223,833,039,363,836,544,225,176,312,925,
881,999,359,637,623,470,111,964,752,064,956,515,974,592,767,419,903,048,899,
396,662,481,916,781,632,323,116,843,563,716,309,784,179,300,273,477,329,121,
849,591,565,982,658,587,148,733,967,313,673,158,593,254,054,760,019,632,603,
183,742,245,042,824,363,799,190,171,059,009,735,909,636,800,682,786,383,800,
401,408,363,502,216,219,467,374,665,561,873,470,851,453,949,504,586,235,219,
436,659,628,505,135,877,542,547,159,820,279,673,600,984,134,565,410,682,383,
267,220,912,631,156,696,518,076,679,754,336,341,548,004,997,694,173,025,331,
263,872,717,436,805,171,599,533,998,291,400,262,508,604,679,278,394,193,500,
144,435,879,318,760,604,983,840,772,796,020,505,260,646,026,045,776,848,207,
890,167,549,549,417,277,846,754,668,876,232,420,576,538,221,490,329,741,615,
435,519,417,979,472,896,554,955,023,282,384,958,464,001,155,430,196,497,988,
205,732,571,756,885,836,953,644,832,186,437,206,816,391,891,855,371,241,515,
861,857,777,484,818,991,141,101,964,872,102,052,317,560,330,012,780,639,440,
360,370,283,413,715,340,085,577,523,941,368,042,928,540,575,498,772,426,215,
698,346,384,960,531,825,440,914,394,541,221,321,883,032,754,673,714,124,509,
879,156,135,193,960,990,659,206,286,488,231,763,040,791,187,572,014,802,336,
495,074,089,582,710,839,099,577,918,302,805,248,189,123,369,673,296,934,278,
698,890,977,379,403,095,795,876,685,566,741,969,715,838,283,326,258,150,709,
301,477,835,377,952,215,113,151,069,251,423,354,777,302,550,982,845,639,406,
292,234,938,809,852,368,836,589,155,140,765,551,158,988,207,097,670,662,357,
654,400,060,965,467,456,439,268,495,348,781,376,960,696,705,563,151,390,690,
462,530,807,485,185,595,072,124,542,701,784,395,679,703,250,829,630,135,936,
342,595,692,308,936,836,226,349,652,675,710,052,093,438,289,017,841,781,060,
446,050,951,715,077,691,728,443,273,447,354,619,899,132,305,831,768,586,603,
304,129,340,507,016,790,176,303,916,498,163,709,852,201,945,655,213,163,410,
418,454,354,484,000,791,138,399,729,531,283,979,677,125,652,312,826,761,938,
290,687,735,087,279,964,029,338,248,201,662,066,643,220,182,119,022,022,664,
506,566,501,838,306,129,252,028,426,940,029,868,169,721,180,626,582,648,038,
728,625,934,440,517,363,837,826,586,927,238,632,621,667,342,181,478,285,887,
195,772,299,153,084,295,138,544,558,262,094,427,577,295,306,814,592,824,754,
228,459,025,557,908,764,996,991,790,772,133,496,859,849,251,107,929,678,250,
181,298,958,799,177,580,855,760,140,025,794,549,147,361,462,353,213,296,820,
173,024,826,583,274,868,655,782,159,375,402,371,474,656,512,096,015,819,008,
032,955,430,616,582,873,711,113,957,566,890,907,767,072,343,117,916,104,601,
006,316,631,986,931,234,147,920,073,950,091,018,597,419,506,886,675,331,570,
954,436,167,634,434,350,252,386,451,898,628,516,654,559,086,551,392,030,059,
985,550,141,886,751,844,960,997,937,996,065,530,854,625,643,368,563,628,704,
270,233,361,742,346,828,494,805,791,028,840,405,985,017,091,689,809,873,808,
913,268,625,716,541,941,556,550,214,537,687,956,465,102,618,020,594,536,706,
673,872,523,603,765,799,309,614,585,510,751,533,873,061,524,556,063,450,075,
485,990,020,689,352,645,090,890,213,985,928,141,850,359,806,526,273,714,183,
872,658,762,519,904,052,977,431,470,352,414,383,914,318,918,456,938,748,694,
663,368,822,968,559,962,649,148,859,760,238,501,324,396,808,056,253,857,432,
847,765,565,008,597,862,412,976,699,313,741,132,186,184,245,871,092,301,812,
915,367,792,177,973,567,392,312,380,351,800,170,857,479,640,077,961,726,651,
324,793,662,824,764,317,988,248,716,368,757,213,357,941,864,149,762,567,741,
531,232,257,174,664,814,050,250,080,990,372,594,451,055,775,281,351,545,189,
199,112,302,672,649,309,210,420,294,247,202,936,542,840,817,734,074,225,308,
107,783,419,348,353,641,415,044,219,776,147,129,348,062,954,771,285,953,015,
476,866,818,236,495,877,332,307,324,024,653,447,481,283,072,690,669,312,152,
953,795,423,703,996,024,185,865,803,746,758,566,266,122,844,727,360,330,637,
531,709,966,666,207,524,669,101,142,363,782,517,567,838,033,799,470,303,794,
638,165,461,170,420,588,756,786,349,168,746,606,085,631,533,220,023,796,965,
483,520,659,747,346,948,967,364,722,000,646,849,676,477,229,957,044,125,322,
705,205,998,823,383,068,661,561,489,146,275,791,834,865,036,412,100,682,239,
029,163,334,286,976,203,423,229,039,386,927,881,010,070,925,980,849,655,238,
639,685,706,784,044,223,236,090,984,994,852,158,543,091,897,182,581,767,478,
837,380,759,207,322,787,263,188,639,711,719,916,609,038,885,621,787,208,052,
725,369,856,099,290,035,531,118,679,172,682,643,950,883,180,286,704,572,583,
371,510,924,453,124,146,907,161,011,602,751,496,486,878,888,649,661,136,581,
247,253,898,060,351,708,877,443,145,403,663,384,716,951,352,609,565,648,603,
392,179,670,593,931,363,621,247,063,109,714,257,784,793,094,009,818,140,267,
022,866,855,667,626,572,582,048,102,417,193,959,707,444,893,861,034,137,449,
746,633,197,146,471,692,755,698,718,101,002,677,399,200,791,854,898,736,305,
808,166,577,817,490,822,789,059,710,814,086,968,927,253,095,063,443,370,996,
849,371,551,530,007,474,575,101,246,154,613,001,860,244,851,793,285,236,426,
849,236,890,183,501,542,919,761,583,945,678,387,605,882,879,453,761,290,167,
457,002,347,116,465,682,142,925,168,224,877,107,795,031,954,686,597,926,110,
749,180,926,680,304,003,460,491,869,836,746,478,564,803,909,901,963,634,379,
257,082,434,274,766,526,087,654,521,427,332,555,989,626,276,055,081,631,959,
297,090,539,246,163,018,835,280,078,911,004,653,028,544,655,843,934,699,321,
461,642,026,551,721,732,957,806,649,268,810,714,545,391,612,077,222,374,269,
809,311,267,873,641,431,382,065,171,757,398,898,260,461,856,121,318,596,066,
327,480,471,666,995,193,275,026,065,783,123,247,065,856,753,053,718,769,775,
805,050,787,371,522,054,770,176,331,822,293,090,048,604,586,231,225,936,803,
556,488,736,086,605,000,250,473,407,581,353,615,833,063,774,634,148,742,603,
169,975,518,315,683,448,886,926,420,854,398,915,920,854,271,935,060,278,823,
994,180,319,376,551,380,406,704,942,250,634,204,044,944,086,120,244,515,349,
453,929,627,562,779,278,736,496,819,188,954,574,228,642,938,977,392,482,393,
176,140,994,850,100,770,469,761,034,026,643,150,110,034,880,075,902,413,316,
894,082,721,154,474,487,090,266,673,615,091,466,587,269,840,212,236,582,987,
924,135,005,761,282,626,470,248,781,741,876,879,081,143,846,673,130,930,007,
469,103,116,429,266,571,810,174,758,865,446,820,397,987,023,048,528,200,454,
245,043,167,032,067,745,504,996,981,616,432,859,528,683,868,688,046,823,967,
065,273,719,879,748,677,718,152,309,245,595,523,766,266,044,305,986,250,242,
712,508,765,317,840,855,987,512,021,788,271,215,954,145,413,187,537,458,477,
494,735,355,436,037,782,022,006,237,209,382,098,766,663,981,734,694,773,395,
465,728,070,709,662,518,960,946,313,721,420,398,264,073,384,045,153,756,001,
572,545,252,688,316,727,386,632,257,271,991,724,299,106,793,178,115,128,352,
181,511,918,772,846,273,455,524,088,678,548,845,999,131,429,686,691,851,407,
447,290,116,365,928,668,877,892,454,983,961,257,650,137,429,147,641,989,639,
383,690,508,075,421,277,507,156,407,506,254,330,443,261,047,746,822,817,655,
741,223,956,861,999,916,292,584,717,303,544,310,746,415,045,204,314,162,012,
636,512,669,047,308,230,938,554,260,500,741,517,540,290,939,166,699,342,642,
491,975,893,507,899,913,735,944,438,225,647,237,403,984,917,295,962,765,592,
082,985,126,681,233,317,504,990,736,184,729,250,682,034,563,649,354,663,069,
558,811,954,491,284,562,723,583,313,021,430,647,820,605,482,173,926,100,021,
070,879,342,041,941,258,495,597,875,100,102,308,659,584,835,743,002,109,323,
375,340,028,026,684,805,111,362,819,018,342,874,183,212,134,422,686,122,735,
631,549,597,223,259,377,619,681,382,476,630,493,417,970,301,081,720,290,659,
601,703,795,862,391,110,858,420,750,661,773,776,605,678,578,533,956,751,805,
618,581,069,870,914,434,073,325,204,281,693,589,815,678,827,751,433,895,778,
610,371,258,277,278,315,050,126,618,703,932,777,280,633,549,192,332,955,028,
098,001,126,222,487,772,773,294,262,364,126,799,403,926,451,377,651,194,606,
422,233,792,647,369,715,171,838,793,547,075,709,519,167,698,578,196,498,880,
883,687,977,008,170,462,563,453,530,865,420,991,102,006,199,455,629,705,878,
272,751,208,935,938,138,700,902,617,382,101,992,518,632,375,948,625,167,184,
888,100,880,765,204,541,145,525,908,798,892,666,325,685,478,965,451,004,758,
673,602,641,384,567,856,373,895,436,134,657,197,959,923,029,812,179,065,558,
016,190,812,181,640,883,822,279,499,666,167,522,933,622,137,087,449,565,763,
210,647,181,636,518,940,180,711,719,601,908,106,305,161,636,337,454,417,430,
281,443,940,732,696,912,261,822,111,000,284,775,664,129,802,664,614,858,231,
625,732,708,357,231,279,810,952,998,612,898,655,173,443,904,023,025,040,217,
603,000,651,651,286,732,222,036,588,870,071,957,202,806,375,184,571,744,706,
573,791,304,223,552,045,725,809,466,355,040,332,359,219,112,634,861,795,097,
709,787,970,419,935,458,651,194,002,148,226,281,806,359,996,662,234,701,738,
930,695,487,938,691,544,291,860,617,717,271,350,720,269,982,053,629,349,183,
535,240,906,107,143,098,675,789,892,636,588,338,745,534,687,802,726,678,388,
944,166,724,182,723,820,011,694,172,497,977,165,057,566,503,712,735,546,976,
076,709,628,187,556,923,333,666,925,330,640,067,551,301,417,284,620,480,416,
293,471,185,166,981,593,883,301,303,506,731,409,821,291,719,767,418,738,109,
784,619,737,412,009,728,756,317,400,222,800,301,306,757,291,093,910,681,029,
168,804,147,952,235,983,891,501,974,620,468,678,723,084,813,770,105,077,911,
895,441,569,281,640,409,971,340,662,959,052,428,788,915,515,805,158,762,089,
307,699,472,985,654,022,400,565,459,064,508,181,571,744,318,713,861,024,833,
901,128,338,159,265,505,972,990,706,815,980,300,455,641,320,414,637,275,789,
267,525,693,313,306,411,837,783,887,024,832,444,910,891,735,992,882,106,360,
059,448,795,980,617,635,210,224,359,282,382,137,873,772,409,802,190,910,365,
746,210,101,741,860,936,952,196,571,343,649,415,070,723,043,352,606,600,226,
146,002,170,079,709,991,156,774,755,203,708,986,833,875,894,793,440,543,361,
582,666,729,695,317,572,314,397,425,725,547,166,297,738,155,405,561,783,470,
444,681,961,739,783,122,592,671,377,079,053,470,600,364,011,441,820,040,371,
357,242,482,784,145,790,359,861,207,039,219,591,623,970,626,399,507,931,933,
322,784,276,254,006,316,354,596,716,399,224,177,224,860,521,868,086,406,798,
870,007,326,097,866,892,870,722,260,651,726,887,004,932,130,581,001,568,862,
540,096,852,532,923,354,929,800,675,970,722,730,572,044,851,408,973,687,900,
311,264,898,244,160,147,228,450,446,330,352,193,703,951,595,267,898,754,328,
993,103,681,154,094,417,151,888,237,818,327,529,675,657,064,651,604,824,270,
647,731,396,703,182,525,385,350,882,962,989,553,861,817,244,957,147,048,693,
895,849,931,386,906,719,794,173,839,009,019,084,602,708,477,808,057,293,474,
153,561,190,838,727,058,449,992,518,692,443,638,402,890,829,876,437,254,501,
680,653,825,043,807,215,960,768,945,046,938,223,370,133,949,992,392,381,682,
333,072,727,860,793,270,216,906,287,556,686,540,978,652,323,078,534,505,353,
030,118,322,655,987,131,265,937,821,248,175,205,474,104,776,763,403,916,275,
630,378,734,431,739,172,875,672,205,636,313,300,905,745,845,458,723,399,525,
477,135,789,744,252,320,641,125,135,127,799,882,154,843,262,576,607,773,184,
616,052,815,191,504,631,160,437,728,949,053,686,854,245,327,202,702,856,593,
431,896,497,286,872,023,071,527,041,290,965,243,982,999,282,539,952,346,795,
128,598,849,285,544,057,794,642,231,634,539,332,976,194,779,629,041,140,894,
324,787,703,805,683,315,193,062,793,434,647,033,372,209,285,315,144,150,528,
475,781,258,892,988,019,388,616,715,724,216,740,829,400,380,352,291,541,853,
819,193,398,812,541,399,118,791,682,937,193,989,135,381,007,936,884,435,620,
223,254,047,087,052,956,398,434,403,684,519,308,031,985,292,370,797,109,182,
819,550,153,534,407,351,463,382,317,434,606,646,197,258,149,945,675,543,375,
102,901,274,201,488,083,631,002,212,529,825,404,837,247,944,781,766,732,172,
115,275,753,077,274,200,069,321,822,603,964,926,645,888,158,887,186,619,352,
734,840,647,062,391,404,409,868,956,618,295,869,297,191,152,584,573,909,336,
187,941,930,862,736,390,071,923,949,131,340,458,288,524,844,074,079,077,361,
662,033,721,950,407,150,717,243,784,428,715,619,025,494,299,332,767,496,129,
581,850,731,548,206,203,216,617,238,115,372,716,774,094,529,333,945,688,008,
742,705,572,449,924,411,271,826,838,082,358,921,170,029,760,950,020,299,073,
772,527,718,084,733,465,098,344,349,816,708,268,538,277,915,192,082,266,496,
909,407,869,532,190,461,795,069,956,166,704,508,873,639,943,222,984,397,151,
169,808,770,275,063,247,560,436,493,900,671,997,204,138,895,394,419,774,143,
388,524,470,311,943,332,072,148,822,479,464,274,998,415,237,378,973,694,360,
086,482,925,708,658,914,395,022,350,240,766,520,734,409,732,390,790,016,821,
463,238,714,304,699,378,814,457,255,698,381,889,545,670,819,320,433,918,788,
442,542,351,842,008,967,631,488,734,173,382,408,392,010,700,601,425,344,053,
614,654,550,210,874,630,014,284,466,141,018,568,357,793,870,448,697,759,846,
219,675,779,289,446,712,813,331,375,589,550,794,099,704,875,009,749,404,188,
528,702,221,576,752,482,063,212,091,695,532,245,851,993,527,112,494,554,146,
231,884,738,628,670,625,913,407,419,471,416,591,491,092,286,513,132,836,482,
542,884,123,080,888,714,003,996,388,098,799,041,718,421,907,416,403,594,493,
647,241,242,466,383,704,919,795,532,529,186,833,732,852,036,894,833,136,242,
816,101,538,956,440,230,777,924,685,877,819,784,902,479,270,298,515,544,087,
549,979,683,740,486,829,376,335,082,050,238,511,054,915,525,005,346,628,354,
361,194,627,074,849,670,479,697,178,628,998,051,747,257,892,208,263,016,078,
045,285,165,138,420,791,772,335,064,699,673,492,784,961,253,467,119,648,049,
650,462,867,892,592,664,242,231,609,538,908,677,791,222,037,055,582,716,672,
453,544,223,206,016,129,440,119,731,164,621,794,907,281,299,020,047,629,071,
735,662,542,165,609,888,883,330,661,548,152,911,390,812,091,663,394,892,170,
392,787,982,656,021,130,627,024,538,368,501,592,620,184,636,653,043,845,639,
751,670,490,741,014,746,092,000,569,057,673,421,062,757,743,435,092,157,780,
507,351,413,806,110,302,308,274,155,198,478,753,267,738,635,583,101,109,005,
648,778,284,602,303,132,677,798,364,529,164,952,199,780,552,878,652,148,147,
832,803,445,025,424,135,053,589,132,395,834,383,006,735,971,820,004,477,523,
040,087,064,696,489,404,543,023,393,597,693,694,405,696,005,220,883,090,706,
381,894,963,861,883,527,611,339,124,363,801,350,992,605,338,975,992,268,054,
045,219,412,573,078,624,955,951,600,637,602,537,440,181,659,703,998,297,780,
641,472,442,992,067,746,537,512,579,490,284,997,922,796,159,560,432,169,464,
088,856,473,677,642,307,959,699,597,253,277,232,992,901,156,809,445,011,723,
088,483,884,111,782,502,821,320,060,582,345,331,844,880,245,113,851,802,430,
640,108,674,117,370,894,901,222,198,762,403,825,994,804,036,813,353,270,996,
938,053,646,215,028,190,708,310,554,498,979,282,446,698,369,424,203,413,257,
165,573,456,500,257,030,373,697,398,775,743,095,980,617,793,022,634,922,603,
729,152,844,459,403,810,892,534,285,023,330,755,080,153,586,407,686,678,442,
505,349,182,742,921,661,196,216,454,036,416,995,691,629,327,149,594,115,725,
419,923,833,450,995,999,203,129,438,801,907,768,401,784,757,083,793,067,617,
013,234,467,420,978,861,407,122,549,764,460,234,712,901,854,526,985,599,119,
957,605,344,501,556,786,373,148,870,933,898,640,175,603,566,587,692,373,280,
556,388,405,832,812,126,172,481,950,495,339,231,720,386,671,536,545,283,870,
190,874,063,956,292,878,065,640,940,847,795,230,351,717,318,768,025,840,490,
144,299,060,734,103,278,731,469,077,700,907,499,600,141,482,962,796,249,395,
825,737,757,536,567,719,238,373,052,451,747,478,675,100,155,487,505,174,009,
023,630,021,397,302,457,308,032,066,751,590,949,075,112,242,807,311,680,239,
055,248,955,716,808,415,409,115,014,235,040,192,837,670,292,310,806,675,709,
481,553,233,873,233,173,529,136,606,605,288,560,327,506,558,652,191,765,355,
056,458,433,089,499,170,562,697,290,774,121,324,079,798,059,939,283,699,545,
717,906,792,418,372,321,839,287,815,572,118,895,785,119,383,542,575,874,294,
230,338,595,954,711,223,948,444,549,191,941,725,476,974,254,410,615,945,376,
607,459,066,729,750,632,697,029,213,084,766,525,229,445,836,097,325,588,811,
085,165,992,804,163,411,757,898,677,714,788,326,729,665,860,383,205,001,191,
282,644,305,026,361,584,618,224,307,314,444,523,947,194,219,918,407,477,006,
023,253,720,249,397,302,209,264,306,180,018,918,400,890,000,606,048,047,667,
294,427,122,414,896,701,023,511,925,080,124,804,482,825,824,440,468,075,123,
157,353,480,033,263,084,084,035,385,340,589,683,530,639,711,999,510,586,900,
038,883,770,078,873,753,022,709,050,706,346,906,199,804,676,561,486,263,032,
352,190,701,607,455,813,581,265,409,745,807,637,851,951,259,821,749,363,811,
053,878,803,349,195,751,022,037,392,342,919,129,961,848,143,569,176,896,002,
958,224,003,135,444,498,026,978,730,701,940,145,378,202,603,351,775,145,279,
381,469,975,368,341,690,176,106,818,338,087,198,889,165,264,106,749,083,720,
217,927,481,918,115,139,963,722,429,005,698,717,107,310,979,198,029,639,703,
297,931,146,695,780,413,943,973,563,161,330,135,385,796,120,790,607,963,389,
829,348,085,982,093,639,770,498,227,818,429,236,591,962,437,128,138,583,908,
002,833,290,798,726,532,886,295,916,202,600,467,950,968,419,300,637,233,831,
755,691,582,236,577,402,104,433,871,112,915,257,226,213,765,568,106,317,424,
540,445,358,768,109,451,616,164,434,264,871,291,528,783,681,638,660,170,669,
044,699,507,630,749,505,287,428,271,453,908,289,189,319,301,637,573,741,750,
539,377,726,244,051,561,652,150,166,498,975,057,964,944,028,853,581,960,132,
974,805,105,396,310,381,887,582,932,625,262,485,216,269,586,041,429,395,847,
437,233,305,468,029,052,309,424,520,117,992,801,574,226,899,495,152,929,310,
552,950,037,608,188,326,497,083,054,322,333,925,235,611,448,199,672,801,768,
822,089,024,985,894,997,501,433,985,358,287,118,442,870,045,884,161,014,856,
141,717,958,805,138,575,595,621,657,154,380,181,499,493,205,633,370,760,493,
514,727,172,433,706,518,072,147,941,216,598,221,306,492,842,799,665,045,998,
131,711,786,762,859,939,618,515,780,956,580,592,280,210,933,085,112,180,861,
170,580,525,414,686,540,740,795,018,143,245,837,162,434,704,010,046,170,203,
847,077,069,421,821,617,706,695,276,349,026,046,360,286,249,358,508,182,323,
402,301,317,143,594,444,306,030,895,307,024,097,575,692,562,007,898,822,134,
421,136,257,488,210,464,261,255,626,209,443,739,324,605,885,534,003,915,919,
377,368,305,030,173,817,240,985,682,924,083,868,811,520,822,151,668,995,987,
302,292,688,258,557,765,657,369,821,134,488,978,079,487,027,777,559,529,627,
309,851,068,689,762,708,889,732,031,420,560,729,300,136,632,196,165,198,858,
593,446,484,559,425,647,395,028,993,884,799,238,279,441,271,435,662,738,206,
101,048,498,717,872,382,698,686,060,228,679,730,206,440,858,010,896,896,985,
709,931,205,172,621,851,180,124,711,507,298,565,856,879,213,197,178,876,180,
832,961,332,010,862,732,201,788,908,780,826,277,340,300,680,218,355,367,338,
573,180,699,691,296,269,726,188,576,318,828,145,303,269,167,917,300,855,499,
849,981,707,821,433,485,974,280,885,548,015,259,846,701,579,178,793,983,586,
799,401,597,344,282,435,257,645,066,374,505,203,222,487,965,954,089,838,211,
723,730,938,702,504,051,843,557,617,488,419,060,048,710,407,038,056,950,315,
673,302,629,825,510,465,415,703,815,662,375,808,895,261,568,970,014,193,180,
836,001,502,331,021,871,632,684,208,695,839,853,472,267,141,329,883,711,301,
099,749,651,366,009,670,221,275,279,488,449,547,887,062,489,861,623,406,723,
637,347,687,355,400,723,711,881,084,228,413,842,000,163,275,022,027,268,717,
136,131,126,781,643,219,690,268,211,021,180,380,496,559,551,669,570,903,999,
204,981,763,452,059,973,092,498,373,808,587,639,372,831,681,288,450,216,631,
380,197,513,685,797,060,043,677,249,848,113,305,352,214,926,773,641,108,037,
091,405,531,727,072,617,721,455,945,162,169,499,918,310,862,922,375,863,933,
620,635,253,119,954,859,054,016,623,414,902,593,525,566,106,561,832,451,916,
604,731,451,871,127,557,693,212,575,147,686,672,788,073,779,399,276,453,147,
109,069,893,758,840,030,732,904,234,032,460,889,061,481,018,994,080,235,226,
951,067,454,417,197,611,106,868,202,355,178,099,230,513,929,807,799,567,922,
800,132,943,568,595,568,456,038,051,884,179,109,992,313,066,777,908,923,734,
935,867,479,097,123,717,635,993,737,649,097,682,879,555,213,122,280,921,354,
662,997,080,359,333,847,280,105,291,916,584,649,748,826,576,673,678,977,510,
498,071,145,717,998,756,868,563,312,939,166,351,166,939,338,280,019,049,414,
317,508,682,358,673,580,192,898,243,112,365,989,111,488,867,592,051,259,496,
780,119,824,205,357,865,907,299,473,837,544,444,839,506,734,778,089,276,820,
505,409,528,916,785,340,142,602,820,742,553,875,787,843,542,990,843,948,133,
558,625,384,390,187,730,336,733,614,010,473,861,590,022,350,888,898,941,300,
599,024,568,018,431,573,359,248,355,719,066,569,767,328,930,513,907,505,101,
027,433,839,008,490,829,891,549,203,316,731,013,842,158,332,502,218,575,523,
906,319,607,519,013,310,375,745,504,461,970,682,819,856,589,342,995,147,977,
326,898,227,694,310,693,177,591,335,337,351,439,116,859,226,830,242,323,877,
148,081,047,368,027,527,564,662,861,581,391,689,761,074,569,398,307,257,497,
090,138,572,442,066,163,229,106,779,010,392,364,139,420,074,532,071,139,474,
801,183,183,779,114,776,246,727,784,729,389,364,138,158,595,805,392,150,123,
116,387,586,693,467,698,000,209,862,169,633,125,172,135,491,955,150,996,494,
582,031,030,021,814,011,102,789,419,782,722,140,085,923,765,506,685,250,573,
097,734,716,251,991,782,633,991,282,857,368,137,851,199,678,621,646,238,291,
291,471,164,909,442,918,277,769,312,935,295,889,869,571,236,812,112,142,697,
933,465,310,975,682,441,779,625,310,463,505,357,263,884,074,911,748,515,335,
790,563,616,771,769,512,343,118,346,361,258,339,969,581,364,541,915,209,357,
808,103,793,486,831,768,521,566,954,492,591,575,843,725,647,071,996,132,231,
496,669,788,873,229,162,111,989,072,627,925,447,948,789,900,011,939,783,751,
077,653,517,767,556,393,589,682,017,935,140,988,163,211,233,184,863,987,178,
628,806,157,864,855,230,122,003,133,951,816,328,569,493,461,127,431,440,252,
049,927,737,622,594,389,559,128,324,232,835,771,058,029,060,444,680,259,326,
310,384,830,809,814,549,760,965,965,448,246,160,121,580,750,802,437,384,833,
233,491,209,312,576,851,442,907,367,144,148,414,904,640,548,990,675,514,219,
061,154,640,632,400,488,979,693,446,942,154,842,905,064,083,077,961,197,884,
798,731,870,989,286,048,923,862,433,469,175,451,686,997,228,892,899,764,175,
675,206,011,692,007,405,832,980,384,868,386,498,362,040,980,304,584,775,943,
183,926,055,521,589,302,406,310,634,167,786,786,019,531,954,341,296,686,777,
620,743,774,302,339,215,646,338,604,826,586,696,019,462,553,905,465,851,459,
154,168,921,620,327,543,699,474,040,464,137,384,423,725,077,309,545,753,996,
013,754,526,625,389,937,277,542,873,640,044,876,380,764,734,400,923,220,483,
203,502,406,778,315,613,204,011,252,062,514,966,920,689,351,042,251,464,229,
200,789,459,408,336,469,767,980,881,123,411,591,738,966,283,988,383,200,769,
412,652,951,928,032,034,501,708,269,430,036,175,912,086,183,463,339,692,813,
253,318,865,947,293,815,002,044,095,488,040,733,598,430,014,166,956,020,316,
216,998,378,259,357,235,278,624,563,762,635,904,773,203,371,011,035,521,427,
272,962,290,828,080,886,368,592,544,953,435,950,333,777,572,274,488,516,493,
180,531,149,818,389,455,988,358,753,313,533,959,029,477,499,630,010,511,572,
380,014,808,313,609,617,762,646,838,530,555,822,122,621,990,903,435,985,551,
082,766,947,368,503,897,588,151,766,256,627,156,686,120,018,178,885,843,170,
801,330,854,661,225,089,087,975,454,607,758,037,569,468,136,728,231,716,085,
277,448,825,985,775,203,614,607,995,517,708,482,951,468,227,706,525,774,086,
077,359,300,552,699,478,931,148,064,056,185,324,593,583,023,486,773,636,126,
569,082,524,212,158,643,139,313,559,368,843,093,671,074,855,510,800,607,630,
752,947,485,335,203,900,514,850,182,016,358,437,243,703,091,762,102,107,187,
410,814,266,850,963,227,976,698,586,552,106,382,415,199,868,813,776,942,149,
317,395,791,006,679,093,182,426,993,477,221,389,513,112,916,130,726,232,102,
624,650,418,021,978,765,535,317,114,773,723,033,777,741,243,872,280,862,347,
724,008,854,705,457,441,647,159,274,120,825,082,876,344,829,942,664,317,196,
532,521,047,864,856,318,578,759,810,987,922,889,713,576,475,429,024,310,793,
945,833,078,285,530,361,625,689,062,699,816,171,973,939,111,323,664,779,365,
301,844,863,445,456,479,887,421,356,005,131,145,598,908,574,815,055,231,254,
427,487,054,379,074,328,690,523,133,214,861,856,534,733,522,250,275,664,499,
048,228,272,882,348,193,273,900,304,814,756,095,740,314,910,435,770,054,308,
566,253,970,049,439,586,327,182,530,567,234,454,655,200,815,299,781,668,269,
684,803,105,873,828,263,495,335,279,732,501,306,956,728,016,267,698,247,236,
619,315,797,765,888,673,868,866,717,258,227,914,886,401,916,447,288,428,534,
484,378,913,570,926,350,190,774,012,833,584,113,985,843,865,616,724,218,923,
490,311,560,148,869,262,360,610,634,383,671,650,168,996,005,316,260,328,088,
177,161,449,293,047,074,377,886,211,169,393,358,050,069,370,468,417,853,038,
672,166,565,282,715,373,245,014,496,523,432,570,354,370,357,496,825,558,534,
209,994,269,562,872,983,865,912,474,375,526,276,204,044,959,058,034,735,383,
268,708,253,172,686,977,968,681,643,667,556,782,165,736,977,681,903,856,086,
181,802,590,526,895,710,430,110,884,474,941,379,459,243,852,123,239,606,033,
219,514,422,803,274,199,585,031,687,531,798,733,854,713,186,212,044,305,023,
195,692,749,638,673,302,820,333,519,759,358,910,653,351,471,982,930,009,673,
364,340,509,708,975,756,215,504,896,065,008,204,559,272,704,490,806,791,498,
373,054,374,908,752,400,971,980,873,786,235,806,585,233,063,529,995,826,391,
151,366,291,300,318,523,123,090,028,207,191,464,091,734,788,947,073,988,738,
821,480,086,453,887,859,253,700,718,416,998,035,200,082,149,621,082,214,686,
458,994,254,966,473,513,833,833,699,987,584,975,471,313,907,719,970,182,211,
031,942,071,511,526,242,774,692,784,784,629,132,897,478,938,700,735,761,280,
692,752,340,324,188,023,088,368,578,311,792,773,453,038,958,194,767,613,712,
426,390,075,017,535,998,433,294,164,314,950,828,314,295,124,633,658,116,684,
333,313,257,415,668,446,521,880,097,814,303,879,928,579,828,216,278,194,656,
279,758,224,085,793,465,506,734,696,239,613,267,434,598,743,006,355,150,608,
971,886,377,708,538,911,358,731,076,840,883,199,817,919,048,809,648,792,702,
635,977,240,962,528,224,833,482,424,410,879,473,942,833,881,019,954,714,582,
064,283,954,090,100,684,279,171,546,784,939,299,790,638,094,904,474,825,951,
993,354,968,313,186,001,052,196,225,398,968,286,622,264,805,383,469,561,602,
072,422,391,277,865,329,706,956,264,298,325,488,229,580,287,084,216,636,904,
768,602,060,081,280,535,479,341,722,296,528,822,420,207,199,959,389,468,917,
127,694,036,447,104,666,611,229,271,891,840,612,517,555,406,947,953,822,270,
558,057,055,562,127,412,350,702,975,222,387,075,622,506,933,440,153,226,543,
341,011,373,394,488,258,333,761,179,262,297,547,795,208,972,231,953,271,599,
232,439,755,665,847,970,712,319,040,374,637,349,665,227,392,484,333,920,196,
579,812,683,967,618,019,977,340,474,648,491,144,616,003,470,123,403,123,485,
733,143,609,801,800,602,959,721,261,330,552,735,396,143,646,913,167,675,216,
072,062,694,439,762,985,952,953,379,798,014,149,929,222,045,395,049,823,102,
391,796,580,177,323,211,663,767,969,616,436,609,124,366,702,412,717,620,708,
230,087,859,603,393,269,469,707,990,509,520,506,926,388,505,046,278,376,886,
267,983,911,806,303,212,106,834,356,621,779,480,694,784,702,537,470,875,985,
093,697,515,732,029,202,543,482,911,888,081,443,605,352,132,023,310,425,636,
048,729,688,162,806,497,727,685,919,266,801,724,525,322,301,203,346,395,198,
862,106,237,893,441,403,097,041,604,049,299,923,538,744,609,610,542,209,251,
755,606,732,474,619,024,949,523,131,318,588,569,855,859,833,699,330,131,908,
693,266,034,048,662,873,304,102,055,783,438,310,288,864,438,251,599,778,313,
963,873,731,513,316,360,247,905,770,898,773,860,851,676,671,371,064,193,558,
427,043,127,984,131,890,310,956,646,562,206,504,740,577,631,214,335,113,681,
827,041,731,028,579,278,421,798,926,429,656,822,942,254,122,642,185,530,939,
260,326,301,570,412,055,878,523,015,995,685,683,299,632,618,620,743,250,053,
796,374,235,798,604,800,902,983,512,745,050,602,365,671,846,071,218,869,157,
705,016,342,096,488,650,699,783,209,298,647,108,975,432,198,452,695,329,809,
497,554,101,187,029,697,347,405,888,068,080,632,454,746,663,155,315,924,872,
533,979,512,475,747,459,237,128,493,344,899,744,741,921,026,052,308,444,869,
332,395,051,644,243,399,425,952,241,754,581,085,764,784,353,937,063,036,588,
443,358,097,917,136,662,765,747,127,223,268,260,859,867,421,054,838,429,833,
712,811,554,878,644,415,329,883,111,886,290,101,010,359,567,664,296,343,588,
925,509,151,060,593,714,685,851,396,442,173,455,464,714,277,506,903,806,847,
406,529,369,334,459,021,662,974,016,226,306,855,276,977,403,319,687,012,634,
747,105,777,347,824,565,169,306,071,179,869,827,113,288,688,545,978,912,805,
161,972,476,296,529,901,962,827,620,151,711,464,581,054,879,225,074,477,459,
742,520,212,602,584,256,995,024,267,837,035,752,188,858,282,149,593,439,086,
010,454,889,440,487,688,282,150,771,897,082,021,453,303,179,289,791,227,241,
695,597,254,416,281,048,099,997,187,435,821,257,794,946,481,550,619,974,051,
045,753,896,711,094,585,135,597,911,058,469,700,078,542,073,725,506,368,041,
521,263,302,646,715,534,168,003,735,265,289,519,378,878,554,905,447,502,041,
023,230,248,924,964,629,865,549,695,597,873,555,083,335,664,754,667,366,237,
304,366,473,972,395,493,048,263,156,195,440,089,644,662,445,105,380,393,009,
055,193,342,162,810,236,967,145,074,703,397,621,634,409,651,788,583,885,514,
226,904,300,611,438,517,670,805,222,841,493,643,104,757,754,559,040,017,370,
008,582,033,849,883,083,768,128,457,548,178,794,480,172,056,984,971,091,683,
522,838,807,104,725,416,401,560,515,505,947,466,128,247,115,373,053,931,437,
533,215,133,754,439,370,723,806,766,017,091,704,000,976,859,107,621,467,441,
127,960,595,988,959,740,312,740,123,162,718,582,445,198,979,575,406,977,635,
420,816,734,879,535,374,212,273,300,267,384,773,301,577,443,566,142,543,615,
174,251,764,469,781,908,186,014,409,981,598,602,796,596,013,281,671,159,661,
625,249,106,932,139,330,771,748,758,246,071,910,197,016,453,715,006,629,650,
623,751,042,776,246,877,808,368,236,326,619,097,433,597,306,730,192,397,352,
328,685,109,611,658,814,151,734,642,235,078,622,191,418,562,172,366,744,083,
210,788,739,276,544,966,458,846,023,708,568,192,387,771,709,560,238,949,381,
979,014,737,992,211,041,293,383,923,186,617,764,053,592,350,308,698,446,343,
961,363,210,754,098,006,971,467,691,053,656,239,144,675,541,042,693,328,497,
400,061,823,921,059,674,901,479,126,503,246,517,659,295,595,449,877,309,079,
055,038,457,000,827,725,360,642,829,836,867,284,603,476,268,515,184,229,221,
168,964,797,488,118,577,994,272,996,847,231,353,465,368,584,962,319,519,166,
771,569,907,115,792,273,842,121,296,185,011,131,543,155,096,297,668,740,841,
914,789,887,772,147,762,417,129,520,477,308,519,366,825,924,752,488,182,602,
044,355,919,808,531,660,130,001,137,272,490,122,315,987,038,659,502,027,907,
027,176,813,832,720,094,321,098,624,882,182,090,012,776,673,712,830,685,436,
825,685,586,211,322,751,968,770,284,560,835,431,573,883,849,099,871,363,811,
525,521,882,917,808,660,156,688,166,844,777,371,318,346,807,938,026,765,388,
124,315,890,782,458,311,059,367,927,748,611,401,251,739,380,882,385,083,010,
429,559,614,242,470,530,244,041,176,645,654,743,459,818,913,212,352,641,750,
989,053,746,853,698,733,174,647,517,688,608,513,276,713,736,314,875,517,005,
622,626,275,035,802,837,708,498,421,265,343,499,740,829,166,164,822,187,812,
931,945,424,357,101,554,258,282,441,864,178,550,619,631,719,288,064,043,963,
022,647,691,817,455,452,174,817,478,640,636,186,541,850,266,665,212,163,042,
717,713,201,865,454,797,865,299,816,451,699,773,713,086,016,386,920,745,463,
055,988,835,825,206,313,293,042,270,669,823,964,896,907,277,129,908,907,425,
654,493,110,149,826,281,463,527,463,876,972,651,580,040,193,853,361,250,498,
584,406,183,391,931,158,044,195,452,445,884,591,303,262,182,529,402,592,109,
157,354,099,067,925,518,138,229,252,538,111,500,432,836,547,947,724,197,164,
650,104,424,716,020,248,620,247,511,948,969,351,542,250,239,293,320,675,662,
306,591,169,205,470,605,785,552,675,258,507,627,410,489,327,063,706,361,164,
851,905,474,947,610,764,343,770,907,175,956,790,668,039,043,575,383,284,839,
523,110,890,463,294,548,007,485,147,461,339,743,892,699,200,846,047,316,263,
570,096,410,904,190,378,387,166,040,888,997,423,049,550,065,109,448,850,715,
959,977,652,114,293,684,292,663,442,396,789,402,008,178,514,625,039,880,896,
326,153,532,338,257,899,573,204,705,715,709,159,714,639,287,069,061,440,932,
649,254,669,461,302,984,615,490,567,170,210,266,394,140,064,644,190,209,816,
825,081,301,375,613,117,920,567,146,005,349,298,194,303,866,416,124,718,222,
946,871,136,528,439,006,629,342,449,426,028,434,552,116,030,928,101,791,949,
867,710,950,033,636,603,194,443,829,055,138,735,760,304,458,527,948,223,763,
078,141,051,694,884,928,206,889,963,141,099,773,766,307,700,201,283,461,069,
104,779,366,903,493,406,420,849,949,901,999,436,846,516,460,406,912,328,875,
482,848,104,194,204,437,821,676,191,592,968,656,138,045,937,950,109,649,755,
561,772,854,662,365,761,087,607,953,825,937,583,929,757,295,630,671,290,481,
966,653,566,677,112,626,999,912,748,718,324,909,223,015,527,631,005,593,140,
450,748,192,900,179,738,542,230,489,419,205,770,246,985,270,498,026,239,284,
786,074,962,637,220,415,876,275,773,157,328,282,222,907,342,811,683,478,476,
709,274,304,070,584,333,241,270,169,836,367,005,018,573,567,202,642,302,290,
775,470,429,958,393,168,409,126,586,241,888,007,165,250,141,810,963,044,937,
841,436,929,946,109,299,461,796,439,368,148,549,331,177,878,456,678,932,199,
536,539,515,123,049,875,595,285,226,236,630,482,373,577,247,372,450,072,029,
924,133,347,397,127,546,348,050,004,816,329,888,042,004,164,179,927,193,877,
929,852,470,650,909,499,955,195,737,460,281,464,799,529,252,970,172,787,729,
753,789,454,356,845,802,989,557,356,666,162,490,028,848,428,713,392,937,683,
138,927,841,603,310,851,354,246,786,099,151,086,269,924,440,651,185,109,219,
301,646,087,238,889,070,926,588,537,569,625,022,367,283,594,872,849,141,603,
254,321,470,517,878,243,804,128,708,768,119,435,963,694,481,056,427,575,892,
157,707,096,752,149,649,643,928,352,117,182,624,493,388,119,459,204,741,375,
830,538,754,047,390,287,436,086,130,947,346,389,019,444,509,598,703,013,248,
428,185,922,084,282,690,203,966,459,095,468,505,644,394,120,851,872,440,963,
619,299,755,556,206,882,902,443,991,892,595,399,437,535,736,302,849,189,724,
377,249,622,944,357,521,947,069,185,794,220,705,475,718,331,083,948,544,003,
122,229,310,491,118,459,334,427,641,681,101,698,998,999,355,890,739,798,683,
337,776,486,044,991,678,114,822,719,911,971,695,843,179,794,902,744,131,869,
448,693,278,002,756,046,066,188,205,365,509,333,184,175,738,105,167,136,484,
295,564,065,107,321,791,908,740,476,030,936,820,251,557,953,448,287,677,756,
446,220,071,187,431,310,410,282,683,710,616,370,363,790,385,202,402,778,497,
486,810,783,106,115,948,891,310,837,989,740,556,766,614,525,443,577,078,986,
592,046,598,778,486,999,251,049,416,150,395,345,162,874,786,560,119,300,078,
261,369,092,099,969,328,935,764,663,368,311,699,310,631,716,220,776,716,354,
129,457,328,015,981,213,752,409,937,867,855,518,907,895,900,171,097,728,910,
448,981,289,255,218,564,949,362,125,071,067,083,736,366,824,120,482,823,944,
442,807,087,246,493,976,964,006,815,502,511,152,992,483,020,766,838,525,939,
976,564,614,003,028,749,441,506,167,355,683,755,932,617,320,702,364,142,320,
664,145,519,281,177,723,666,183,638,422,013,836,166,535,714,769,912,757,497,
391,301,002,656,857,645,927,529,931,040,760,020,723,765,608,594,580,313,955,
752,520,551,201,559,600,806,762,236,512,385,833,131,472,619,030,865,543,813,
215,928,841,097,080,753,092,433,658,522,162,864,951,658,646,259,766,941,280,
758,158,873,703,382,296,447,139,443,403,870,106,152,355,683,393,542,935,664,
006,347,752,386,088,319,795,654,828,385,071,036,643,634,130,323,886,804,005,
571,956,691,504,762,078,001,173,667,316,700,811,578,877,903,516,719,562,124,
485,937,808,459,504,529,239,915,139,351,816,705,492,514,998,105,226,283,547,
213,343,774,047,848,790,507,332,784,265,229,074,993,922,609,050,331,836,103,
557,697,214,600,348,663,728,482,770,122,985,509,699,238,326,637,106,642,329,
994,361,313,814,503,075,579,167,113,723,447,905,413,632,485,512,046,759,371,
183,364,503,413,331,762,277,768,106,551,669,342,220,676,148,607,439,944,306,
322,475,778,641,265,606,144,239,276,730,980,755,297,580,158,185,204,864,373,
560,619,538,253,255,785,792,992,101,873,729,119,122,330,182,442,042,299,532,
028,023,452,541,444,099,243,447,091,345,891,558,933,958,768,961,139,871,465,
307,213,736,748,642,878,325,728,384,603,008,338,709,453,778,112,450,800,200,
343,527,057,354,922,424,867,306,952,464,689,551,930,613,364,548,451,286,151,
872,192,569,459,541,747,532,349,284,154,377,934,553,325,866,712,571,581,002,
454,016,588,282,289,593,962,097,534,776,401,393,638,224,526,535,479,243,676,
245,835,522,871,696,147,440,667,341,585,780,370,658,020,047,901,925,144,486,
342,144,323,358,880,326,721,914,589,290,088,377,368,482,061,792,808,464,532,
929,176,381,323,649,288,704,507,613,781,461,986,924,024,836,291,019,132,012,
653,305,590,521,112,129,983,275,417,174,196,652,499,032,421,401,676,151,451,
603,399,240,282,848,899,491,524,535,993,823,527,289,574,720,785,923,344,676,
016,195,011,444,609,326,852,485,803,449,304,250,608,939,008,198,484,427,700,
531,832,038,319,107,920,451,309,778,489,758,542,697,607,740,831,031,629,279,
796,931,884,723,551,214,222,366,157,093,174,269,810,078,359,218,671,913,007,
039,978,932,728,600,697,641,974,590,816,687,997,766,873,984,285,628,880,946,
876,290,072,807,148,545,968,257,007,433,796,255,928,465,752,688,197,102,893,
054,364,997,015,780,308,826,809,326,077,433,313,461,077,435,154,776,717,504,
688,021,416,217,814,304,545,296,514,306,803,506,097,657,386,664,664,005,096,
742,417,781,048,786,387,093,319,777,715,667,693,683,981,798,104,610,583,535,
263,744,584,331,283,994,885,349,928,568,792,281,445,422,755,267,287,426,097,
433,347,138,069,629,672,663,159,409,709,844,404,059,793,660,957,200,377,443,
327,012,667,320,715,828,202,182,611,827,169,641,174,244,260,136,361,850,062,
253,286,056,800,350,811,006,339,288,114,319,230,636,441,839,163,646,363,196,
020,357,288,488,740,293,820,987,940,476,924,600,931,108,161,657,903,317,746,
336,305,711,090,267,933,891,947,240,317,382,714,709,897,495,565,538,730,497,
262,586,514,938,680,925,414,838,820,667,335,436,323,722,450,747,436,351,597,
781,694,276,371,365,782,480,581,971,612,867,919,218,537,735,874,147,381,704,
876,681,505,017,086,791,589,650,953,082,548,308,863,697,935,779,918,069,501,
524,507,307,465,828,097,104,839,358,991,072,280,471,008,016,725,989,102,522,
994,721,624,136,913,694,660,880,807,888,864,515,724,806,126,260,776,576,082,
500,268,799,540,157,544,175,784,067,552,259,546,390,241,137,616,822,966,044,
852,422,806,117,490,647,923,448,664,446,852,543,094,535,820,919,108,878,945,
132,242,176,134,764,950,197,409,452,829,135,495,368,112,518,266,589,991,012,
397,727,123,784,657,090,241,277,273,839,278,014,956,970,354,881,415,690,916,
457,929,905,342,750,164,608,854,064,272,860,137,215,537,408,625,281,064,182,
488,431,169,959,926,029,660,342,120,605,067,541,668,232,423,877,783,582,474,
442,971,036,130,391,236,831,705,753,522,481,404,781,058,910,859,271,309,430,
044,988,373,674,358,800,940,455,026,736,982,354,543,212,875,665,904,354,422,
921,588,914,954,733,195,824,785,401,563,672,717,210,060,729,685,908,288,216,
180,532,723,391,429,236,542,614,942,567,622,705,453,413,551,539,614,519,010,
578,686,467,057,002,099,099,361,443,995,069,908,411,993,735,009,592,709,747,
213,239,660,035,455,471,485,332,275,877,544,673,158,070,046,285,498,329,408,
016,866,653,917,969,166,052,246,047,892,727,389,361,356,920,112,944,311,826,
827,454,547,586,996,437,409,549,393,267,297,248,957,122,494,991,937,133,849,
418,940,408,973,256,650,302,263,113,754,661,629,704,042,767,237,671,996,008,
626,068,816,628,319,257,030,906,944,796,679,509,673,652,894,371,367,261,022,
408,075,968,370,097,795,928,593,705,719,770,498,299,558,825,219,591,845,609,
803,693,480,984,695,330,525,068,114,837,778,580,526,280,551,974,404,293,099,
152,483,794,040,395,286,904,340,090,970,906,035,398,367,479,767,819,784,978,
743,143,318,731,235,709,402,084,050,575,354,173,111,747,997,935,440,547,875,
365,498,814,030,161,015,960,053,067,173,084,418,557,868,634,786,575,171,998,
156,064,164,864,941,483,200,011,671,977,100,751,792,094,618,074,799,828,670,
614,447,495,295,736,019,326,393,039,828,605,704,508,126,852,634,532,902,796,
408,034,214,970,615,394,589,080,842,485,049,131,051,715,626,237,289,205,517,
467,438,208,824,201,882,409,631,137,193,911,592,509,268,977,415,190,245,268,
707,625,377,618,549,628,612,466,737,218,101,948,081,211,627,597,457,775,315,
259,877,561,628,501,107,956,444,503,704,105,148,593,152,778,774,140,645,513,
920,891,126,603,264,986,979,570,642,856,077,932,544,579,379,508,148,180,587,
850,509,726,268,453,847,002,345,754,257,644,215,698,942,811,271,115,969,403,
421,657,645,971,052,428,806,511,188,488,600,037,939,703,335,190,417,922,347,
123,459,664,190,943,853,754,362,479,570,280,457,812,438,150,982,307,431,038,
981,396,677,304,798,315,740,844,000,174,024,951,224,567,541,001,623,212,220,
491,030,415,884,912,279,183,141,351,842,856,801,159,506,889,348,423,806,975,
458,457,050,506,587,798,521,675,956,614,795,998,511,175,659,135,335,297,524,
561,360,260,459,169,222,037,614,578,138,056,352,131,878,318,990,046,116,513,
365,955,518,817,962,138,709,645,018,652,480,602,610,368,573,277,531,443,026,
396,586,628,383,935,684,776,898,516,850,266,970,989,696,106,347,123,271,144,
072,536,926,121,845,589,364,937,832,396,155,777,924,057,341,166,014,296,381,
687,741,903,174,661,622,179,591,481,919,263,264,826,567,206,980,234,998,955,
734,045,178,007,226,738,426,485,464,644,422,229,610,920,671,594,665,405,627,
871,715,027,688,456,878,460,263,417,719,625,738,620,211,924,806,888,675,090,
104,204,396,799,715,255,894,808,497,964,847,604,330,296,609,690,140,963,894,
579,442,422,853,289,907,764,465,124,413,190,840,641,960,937,007,410,177,749,
328,078,834,447,508,847,699,642,060,386,159,958,983,265,558,989,640,307,099,
165,162,159,141,688,206,413,016,685,093,173,735,833,629,970,549,777,209,914,
485,478,964,704,913,212,423,907,632,144,650,365,262,824,021,176,688,210,354,
014,984,916,141,872,350,199,972,775,551,696,526,069,485,752,976,819,883,255,
012,614,122,961,411,195,773,345,455,196,122,630,433,537,299,663,559,788,960,
210,790,723,367,787,364,386,890,480,026,572,406,547,477,844,304,845,157,380,
003,012,640,153,241,870,560,215,142,941,087,578,131,534,035,169,429,711,711,
889,241,046,730,364,472,419,206,271,891,897,611,392,024,155,190,968,392,562,
325,521,756,076,674,691,741,271,222,358,882,747,005,664,613,288,691,147,148,
361,237,793,206,321,080,059,597,466,292,873,616,122,570,617,808,229,349,590,
770,333,621,638,185,148,981,719,336,108,054,811,009,994,872,108,882,239,183,
001,407,890,759,511,675,857,074,264,760,090,401,075,644,722,176,635,154,661,
510,419,183,219,849,564,076,641,654,505,734,540,974,648,520,255,984,012,466,
350,575,363,486,631,023,041,831,609,797,857,637,899,396,127,154,691,433,818,
881,081,147,638,441,814,751,523,784,719,877,709,727,121,192,495,033,998,512,
125,922,629,434,802,992,710,795,835,864,588,922,954,551,679,932,985,254,640,
189,205,223,304,531,450,186,140,668,867,980,589,022,212,326,935,900,624,913,
983,353,853,379,090,065,064,323,495,810,438,678,227,430,942,737,179,997,238,
425,983,528,074,407,730,072,337,951,101,011,677,071,139,311,480,051,159,198,
429,300,246,148,745,860,640,988,761,962,114,095,498,285,254,722,491,664,413,
753,184,184,658,480,184,791,755,394,515,355,042,878,564,841,031,981,294,462,
450,713,502,776,696,843,754,521,912,694,171,024,161,003,408,783,195,692,747,
888,262,976,826,851,836,668,091,092,666,772,915,796,173,238,536,814,613,910,
552,919,646,381,343,772,373,705,644,987,002,600,888,751,840,268,319,844,300,
559,796,328,009,809,665,916,351,425,135,303,861,717,379,216,989,095,941,748,
406,511,636,133,429,374,608,204,794,499,824,522,989,437,501,757,147,444,747,
155,504,246,344,234,139,944,575,727,294,612,016,989,080,146,459,547,465,164,
183,521,557,832,614,828,892,615,102,455,391,233,809,584,436,992,062,200,996,
350,416,754,276,173,873,510,444,312,827,476,021,485,325,611,059,236,416,413,
021,026,651,095,798,045,507,897,494,368,850,486,780,228,435,729,205,905,834,
296,993,305,493,436,210,828,509,430,411,082,020,965,222,215,402,078,327,063,
334,643,156,605,861,721,472,715,999,821,436,238,875,129,732,513,872,290,195,
710,557,244,454,811,097,814,119,574,462,879,099,324,457,109,627,388,471,608,
971,519,928,829,816,680,357,079,966,328,850,851,477,446,628,752,156,140,137,
470,365,054,929,790,988,179,586,050,125,284,929,748,326,888,818,890,622,424,
502,235,119,802,186,839,103,257,073,129,196,245,678,041,567,577,162,250,054,
871,351,452,788,771,189,675,849,995,278,481,384,752,276,089,459,909,497,675,
621,179,718,123,953,932,523,186,159,679,763,849,094,984,912,697,575,211,082,
890,329,320,244,434,242,985,936,266,103,266,398,164,130,325,695,624,121,898,
352,869,894,203,521,999,280,721,962,114,563,052,098,201,179,671,188,429,228,
953,330,364,120,800,348,778,002,418,202,419,096,858,980,061,540,095,368,276,
108,878,005,056,620,423,097,296,165,496,767,676,724,955,713,162,344,280,576,
360,362,663,179,237,194,564,774,144,375,051,166,393,954,159,409,697,447,141,
454,222,611,643,104,596,179,108,543,130,274,801,818,039,477,436,886,345,032,
601,183,230,316,778,037,371,312,125,333,062,908,600,903,080,519,948,986,866,
348,828,272,261,696,801,317,450,400,867,716,273,712,692,321,958,958,357,224,
505,118,813,053,527,780,936,373,168,428,425,427,213,429,526,361,318,699,366,
769,662,480,982,679,734,340,775,117,517,218,664,016,841,045,079,522,895,542,
746,187,073,548,762,469,278,898,268,675,137,235,530,756,139,829,014,829,286,
378,797,559,518,550,113,852,046,782,043,509,421,051,273,948,818,715,227,462,
596,667,317,688,865,025,943,443,395,821,873,982,813,376,036,771,086,032,933,
386,976,579,630,010,211,061,545,801,887,201,636,417,179,845,490,672,718,623,
144,425,895,601,814,318,565,147,361,707,140,343,752,779,647,578,349,265,481,
703,053,961,211,393,876,619,354,044,650,442,528,281,085,999,428,387,841,196,
689,772,853,736,134,970,776,330,120,836,001,054,195,494,864,793,395,517,229,
562,179,191,130,794,439,755,185,848,224,329,176,067,190,887,057,167,393,573,
765,761,532,754,202,774,220,482,463,546,878,419,969,594,731,680,058,177,741,
823,974,437,524,430,229,524,946,697,048,063,857,512,233,996,738,560,028,738,
242,618,019,441,033,153,898,118,267,749,135,660,394,493,351,866,307,777,894,
864,939,653,361,618,408,641,882,066,363,382,539,016,011,014,734,934,069,181,
992,733,965,025,029,838,328,632,181,223,851,316,203,908,862,604,704,441,910,
618,288,844,492,214,558,747,773,281,510,535,097,016,114,621,870,908,489,138,
632,580,103,635,409,820,117,470,078,250,287,499,549,747,978,520,865,573,776,
507,505,029,818,835,988,719,811,662,648,882,362,401,382,374,001,274,944,637,
800,714,902,942,568,658,150,737,958,724,563,596,302,869,460,172,952,017,595,
687,942,892,504,250,041,129,840,059,817,911,493,306,400,023,785,805,315,961,
455,229,011,667,234,808,689,518,140,058,831,214,206,196,973,416,124,648,926,
935,229,196,907,750,154,692,814,031,237,705,236,055,011,794,401,837,303,543,
134,858,192,911,055,262,918,815,814,251,651,365,103,538,732,889,395,216,987,
773,970,638,382,739,893,592,629,626,070,706,233,667,594,925,863,695,718,994,
263,159,471,520,931,011,890,951,826,754,954,237,840,387,523,500,554,322,458,
012,501,656,009,908,800,320,824,164,777,431,931,833,842,610,352,031,680,803,
246,304,520,241,282,855,798,845,301,282,969,665,058,303,708,023,570,942,743,
926,557,245,297,009,805,515,577,569,472,537,494,954,602,985,567,028,566,359,
483,774,383,892,331,792,054,438,501,905,393,748,469,454,006,192,284,504,554,
949,804,470,111,275,164,437,973,012,819,928,836,527,609,040,416,445,400,174,
175,474,528,480,495,259,485,996,639,682,217,460,540,265,379,653,243,013,554,
121,419,313,572,746,782,137,017,470,670,924,309,238,665,319,328,262,622,188,
063,251,362,980,302,660,016,331,873,262,671,877,072,473,907,732,231,943,818,
692,175,882,248,493,065,041,615,115,793,520,010,377,500,250,188,703,409,665,
803,747,211,140,384,591,458,257,317,830,870,257,129,852,528,822,022,220,509,
000,143,548,229,349,642,926,098,419,400,721,826,756,853,553,871,302,736,013,
979,827,650,142,246,168,051,027,713,335,878,103,281,062,155,961,966,099,982,
348,553,707,663,166,814,248,840,445,488,697,883,526,758,125,409,221,793,485,
981,873,107,720,702,718,470,886,557,445,045,859,312,716,227,746,061,973,031,
506,492,870,620,272,694,466,586,817,167,026,772,644,772,566,860,070,093,593,
945,036,524,355,706,067,574,328,317,205,787,324,891,288,143,772,386,431,535,
858,979,505,881,620,530,204,702,772,989,513,881,471,332,294,508,554,942,487,
228,720,855,332,543,421,249,242,720,263,610,212,059,842,457,407,044,558,516,
322,175,689,535,781,912,831,484,472,803,592,279,276,180,770,397,077,531,460,
025,989,712,306,449,086,689,769,176,019,274,861,751,104,145,532,886,841,701,
256,743,811,069,221,260,239,025,872,668,996,673,679,729,394,557,675,929,126,
393,298,203,813,233,964,836,231,751,009,387,149,695,531,136,570,417,016,513,
174,785,815,683,304,498,831,720,669,852,064,055,735,633,586,814,336,576,651,
476,943,049,545,373,029,812,658,932,552,589,235,896,587,318,886,669,084,596,
248,075,128,039,451,571,531,486,822,322,723,566,401,089,920,128,357,719,797,
980,078,420,240,471,737,814,914,275,139,688,347,378,305,200,596,837,431,669,
099,253,883,331,038,722,558,512,169,609,748,384,093,958,434,931,969,896,607,
477,318,026,436,649,115,127,903,689,969,196,169,629,386,246,045,065,341,831,
386,762,527,093,738,944,568,939,997,779,697,476,458,355,356,126,448,158,581,
495,495,424,421,834,875,150,508,396,644,475,568,163,082,874,620,077,247,679,
340,615,851,241,955,188,948,552,561,586,930,996,130,048,130,152,570,701,093,
336,129,930,417,898,338,771,141,940,836,176,487,980,873,950,209,925,027,336,
961,404,525,977,189,464,846,084,700,664,214,955,443,084,462,805,598,054,680,
920,184,596,727,001,264,882,817,040,501,423,154,650,723,532,083,740,712,208,
544,964,615,969,047,387,787,978,820,251,639,600,739,528,062,081,122,294,654,
092,361,666,340,255,059,118,957,026,511,467,042,293,200,683,705,028,296,487,
435,135,834,060,400,857,918,816,321,345,844,575,668,904,074,222,659,228,688,
881,084,491,378,505,424,621,536,237,503,433,047,127,616,866,831,590,312,385,
685,099,663,972,182,342,325,699,410,463,477,508,645,793,427,602,033,083,975,
886,768,219,231,606,128,356,574,137,587,017,442,337,386,125,692,107,266,578,
022,779,293,865,741,994,428,984,330,157,890,031,020,023,562,513,151,973,630,
879,314,701,957,213,867,484,370,917,837,801,248,525,949,362,425,719,384,336,
283,150,625,748,900,277,384,392,588,295,690,792,681,366,304,077,282,899,083,
428,224,877,557,319,120,494,713,233,560,068,286,372,719,607,006,324,803,080,
925,040,883,294,082,957,467,357,435,379,216,579,793,445,908,591,516,015,254,
335,404,136,763,975,420,106,207,096,842,424,982,267,753,270,990,366,239,013,
494,123,965,484,007,748,163,931,948,790,018,520,211,370,698,885,202,185,935,
559,001,108,992,119,182,156,954,512,035,940,384,584,238,583,505,527,580,843,
898,906,183,122,931,216,942,921,247,564,551,096,465,190,985,358,477,604,197,
339,057,609,332,711,859,437,845,016,305,948,993,273,881,988,542,462,457,337,
811,674,010,964,501,002,299,975,220,932,886,004,201,776,961,202,645,775,201,
671,024,413,161,735,029,007,840,869,124,401,694,796,444,081,951,765,128,359,
795,122,767,581,791,026,658,066,729,441,195,236,611,432,118,575,353,000,384,
191,524,482,426,226,164,850,995,207,951,604,401,366,443,737,283,920,763,405,
810,028,642,900,803,074,028,363,730,006,833,796,295,703,380,095,262,490,856,
368,540,981,285,268,793,840,756,435,159,277,769,643,511,699,296,810,552,921,
666,719,257,548,915,515,973,616,154,585,459,574,215,396,051,826,611,359,035,
374,013,732,971,453,869,127,728,969,789,619,995,014,095,857,244,701,874,543,
857,958,654,719,879,761,693,316,134,969,353,939,343,156,851,031,723,510,019,
088,155,110,230,986,125,692,530,376,706,309,481,097,094,216,996,475,017,422,
746,363,717,918,893,012,158,754,498,508,919,971,415,184,751,367,080,843,155,
939,518,838,767,416,066,756,837,552,562,000,824,590,313,715,491,801,762,708,
344,270,587,324,226,213,303,388,283,197,486,658,438,201,595,011,882,507,202,
202,790,907,955,035,269,674,832,706,386,241,726,050,011,424,938,232,696,057,
710,152,482,440,077,331,452,142,023,569,899,412,365,731,682,951,280,613,252,
060,790,471,455,715,486,312,155,708,142,235,920,132,868,180,113,930,501,630,
186,914,496,277,497,575,221,156,971,021,940,127,951,975,217,387,720,045,301,
708,346,020,549,906,949,760,671,091,676,933,681,476,836,140,325,339,905,622,
941,248,984,767,323,999,738,779,010,976,247,622,859,447,264,151,430,662,189,
508,334,968,633,290,352,653,948,077,876,406,298,237,421,857,128,070,987,266,
115,597,323,806,100,512,069,270,669,004,995,391,947,696,388,137,566,559,530,
826,820,531,041,257,923,075,246,090,787,746,377,198,132,033,872,999,342,966,
263,675,489,878,171,957,791,205,258,451,586,751,997,804,326,598,371,916,334,
701,951,442,654,481,506,610,943,973,687,354,726,875,225,118,107,690,280,516,
697,408,587,471,320,577,290,529,441,028,865,799,452,717,735,467,996,497,268,
562,233,724,090,180,838,635,639,386,770,486,299,385,908,838,658,979,310,653,
129,107,140,950,094,540,155,618,734,741,833,757,257,932,732,605,901,533,610,
236,655,972,114,673,535,410,853,291,499,585,658,686,703,461,784,256,332,614,
180,476,634,228,305,664,249,387,253,208,314,174,653,559,542,521,148,873,900,
116,395,128,126,444,964,333,162,635,716,841,339,693,225,129,285,241,957,806,
745,036,868,194,287,125,908,873,450,295,740,694,146,587,298,057,859,770,896,
549,838,470,776,826,604,400,603,490,368,307,618,075,219,961,411,793,915,412,
996,549,106,116,628,732,779,326,107,310,080,907,786,733,763,125,996,236,833,
720,103,749,248,555,725,662,544,385,695,633,530,331,894,811,726,102,917,148,
726,830,263,298,611,322,967,103,466,053,590,317,556,067,731,769,610,473,566,
267,699,286,294,664,963,830,926,990,211,239,851,105,541,420,146,248,428,310,
499,916,620,279,401,974,565,871,828,786,834,415,126,602,030,874,442,188,217,
713,423,277,794,418,444,403,188,678,806,139,042,633,623,281,140,748,445,655,
365,016,066,020,117,637,100,304,400,622,187,430,730,497,718,930,204,612,676,
278,160,281,997,945,846,792,227,046,401,918,643,457,258,116,701,955,429,671,
009,789,550,535,427,714,784,786,590,414,242,603,470,757,422,075,931,204,886,
777,045,454,231,471,861,194,409,649,934,835,187,204,175,668,251,861,005,335,
236,669,926,216,906,417,482,527,327,579,046,990,612,681,772,548,130,094,999,
028,218,073,129,283,377,984,780,732,905,835,880,606,114,972,387,378,766,609,
523,401,378,845,192,252,438,705,304,172,385,692,344,302,928,985,008,812,796,
624,775,939,326,391,567,986,532,853,001,071,310,023,388,359,824,724,850,200,
162,495,497,894,289,349,671,309,121,009,581,714,104,418,878,650,904,127,741,
570,153,406,811,803,717,961,323,685,287,593,936,401,391,582,398,375,053,266,
763,348,347,956,475,135,752,593,281,352,606,235,013,452,309,292,144,259,090,
041,090,297,966,925,500,203,760,920,397,409,603,452,299,735,792,159,791,079,
185,903,710,640,628,968,264,968,136,485,434,958,340,311,190,706,612,682,367,
609,237,589,105,490,724,986,710,469,400,159,860,664,501,229,387,131,782,895,
364,245,138,409,542,601,177,100,408,678,941,339,848,245,072,273,580,329,135,
944,578,529,320,462,133,152,168,289,049,742,719,154,384,675,226,638,583,224,
236,278,895,165,381,633,055,050,398,019,148,413,917,997,986,628,251,810,331,
687,677,190,150,192,938,723,917,046,755,007,934,140,909,320,758,025,436,317,
408,028,949,037,769,498,582,330,145,195,894,883,019,371,224,111,165,465,456,
204,461,012,914,959,080,249,226,039,535,878,422,375,160,091,553,293,780,354,
939,175,589,071,736,744,155,860,437,314,821,601,448,728,925,163,519,206,557,
582,630,811,289,409,686,530,045,647,488,814,279,514,141,567,301,716,827,685,
122,230,419,849,826,093,773,767,651,146,520,567,774,128,090,229,245,271,219,
016,936,063,708,702,136,745,730,525,528,207,331,302,942,315,557,758,514,132,
922,363,883,464,431,708,646,499,911,103,573,199,268,045,426,293,848,447,620,
495,736,700,332,712,740,919,862,320,810,807,275,011,747,325,731,584,906,830,
952,039,182,965,859,985,825,165,980,198,981,466,950,519,803,945,203,356,443,
124,263,426,724,751,955,563,369,527,721,256,635,744,282,680,722,881,833,128,
847,555,008,993,311,508,877,781,326,514,140,657,628,806,815,900,910,170,411,
457,775,483,821,351,591,313,214,162,386,808,514,820,164,737,829,381,673,343,
256,058,193,081,624,629,428,886,970,707,583,713,204,094,451,433,345,469,193,
066,012,445,729,564,943,038,405,660,295,120,424,829,424,721,154,324,688,379,
683,231,049,512,572,418,769,708,475,470,566,434,246,722,605,918,437,124,065,
359,550,168,602,483,333,179,280,249,565,901,859,489,846,517,880,187,018,946,
509,137,525,792,010,260,688,656,090,085,166,581,471,464,474,627,930,140,630,
185,908,232,453,151,804,066,738,676,940,079,254,275,106,642,076,299,851,286,
711,539,863,972,957,252,282,383,372,678,527,690,336,118,563,744,154,359,784,
344,829,728,678,224,489,537,936,180,895,593,465,222,588,305,906,305,041,903,
350,300,392,886,882,383,165,990,454,855,459,145,464,926,342,301,977,203,800,
000,404,787,228,705,783,279,465,285,055,124,529,462,769,918,230,041,957,565,
718,505,830,380,698,336,166,205,817,410,582,129,109,318,331,346,647,131,561,
311,780,863,712,984,145,601,412,698,584,493,698,129,737,683,072,677,841,754,
723,544,942,220,158,202,696,460,660,210,649,119,857,139,395,426,727,219,888,
914,505,482,345,595,325,651,804,213,528,874,170,740,965,998,936,519,755,528,
978,129,786,071,592,081,713,720,003,520,333,572,741,105,261,623,346,904,449,
450,946,495,595,930,321,075,298,686,237,519,571,289,119,115,780,687,659,744,
128,606,585,039,995,586,952,128,725,621,297,353,191,838,272,014,584,429,601,
472,761,730,670,255,258,317,862,257,699,205,960,765,094,284,323,649,552,520,
631,505,135,634,483,371,357,487,715,391,834,537,575,974,530,104,085,774,607,
593,996,430,594,785,618,301,127,055,320,501,337,699,543,829,660,578,707,922,
166,075,655,252,673,859,053,690,965,247,541,937,857,937,811,975,118,042,412,
868,809,603,715,673,113,014,693,474,046,899,731,241,767,275,515,658,671,832,
411,910,510,589,369,462,268,563,277,380,425,666,729,030,772,053,528,280,537,
213,288,786,645,064,594,779,611,710,038,539,856,247,065,950,103,218,020,731,
489,703,620,918,808,463,517,249,674,671,381,336,676,871,542,810,801,384,863,
342,664,032,685,735,609,535,961,377,762,483,659,881,888,850,551,368,557,866,
480,745,246,480,608,691,287,788,611,547,890,094,966,136,775,710,100,153,688,
938,725,558,256,321,514,718,832,618,286,745,894,095,828,415,211,414,603,850,
463,828,926,601,778,145,243,069,090,136,516,830,111,566,977,958,531,135,746,
483,042,394,531,725,248,634,907,500,096,836,153,978,088,307,357,331,474,233,
517,543,113,758,939,761,483,067,321,541,963,798,198,403,585,672,082,193,557,
602,679,947,313,750,370,267,184,756,919,383,812,228,155,491,998,353,168,620,
015,239,111,760,929,092,832,254,463,330,630,233,089,244,739,933,880,724,364,
980,022,542,631,133,989,213,757,445,015,161,105,805,960,048,473,839,736,848,
011,267,474,266,100,631,695,561,662,968,583,883,924,628,621,098,935,690,494,
171,160,044,478,253,381,195,657,850,346,411,782,167,880,985,959,097,619,422,
110,690,814,859,838,338,787,993,672,157,873,135,661,670,121,821,024,256,712,
263,897,508,402,683,219,168,586,330,606,373,725,567,126,520,000,958,962,143,
621,281,378,073,407,149,680,425,560,529,242,575,974,452,656,139,178,481,760,
479,595,422,176,150,964,103,470,800,754,021,408,077,456,508,892,782,253,209,
479,687,528,522,247,655,100,057,239,822,991,559,936,451,127,295,497,643,873,
775,383,448,016,296,143,300,527,077,265,257,729,612,248,643,147,517,904,814,
763,647,073,991,970,270,234,608,991,084,621,233,125,048,841,060,755,598,870,
638,428,282,935,331,184,498,738,548,351,788,413,113,637,990,530,037,266,762,
952,253,839,234,500,388,285,223,504,071,567,047,588,153,235,862,047,978,459,
659,502,470,207,463,638,676,525,767,716,618,446,109,661,243,451,863,378,664,
723,072,774,816,756,786,954,109,663,200,465,372,054,990,002,441,077,272,601,
225,964,419,758,450,730,686,485,445,477,135,344,435,375,989,718,816,285,735,
888,025,068,262,391,415,493,417,959,529,066,242,047,974,353,192,241,323,606,
323,618,715,587,458,461,193,947,323,721,804,700,446,640,152,757,126,894,599,
799,875,779,707,805,751,849,540,971,868,098,837,751,909,842,561,268,917,218,
233,849,978,621,943,090,279,046,278,919,845,985,027,491,587,021,548,541,308,
725,694,889,050,843,553,831,616,640,346,861,700,582,080,016,076,618,207,315,
550,953,180,593,401,740,050,105,630,776,064,073,632,708,564,920,204,816,886,
521,843,625,763,973,392,402,530,189,788,010,771,439,773,485,284,685,046,607,
838,812,703,720,570,174,877,229,813,143,675,838,329,353,207,798,316,577,912,
269,885,151,486,876,904,868,021,894,555,980,919,629,871,889,764,811,657,332,
650,474,011,827,076,031,446,499,443,689,016,172,074,758,287,840,683,046,198,
734,467,151,299,980,438,815,884,647,943,884,800,556,148,087,694,098,960,689,
773,515,074,988,244,472,307,160,581,316,558,585,182,185,021,906,645,699,562,
680,822,202,711,198,155,795,313,203,887,328,741,609,285,142,595,258,841,699,
176,767,386,278,094,815,149,795,297,668,594,963,518,555,478,045,934,615,965,
778,085,550,433,122,321,957,624,257,639,984,181,719,035,301,091,764,256,238,
796,610,670,375,456,625,902,729,691,435,446,448,491,597,341,125,006,876,833,
238,336,776,837,901,051,510,465,659,987,792,208,382,433,418,732,363,068,499,
935,078,727,835,881,241,330,253,804,628,010,389,008,288,020,357,306,285,761,
856,643,872,609,332,194,458,728,327,340,837,118,166,552,917,343,539,353,492,
976,800,027,636,616,288,261,533,885,796,510,811,609,429,589,681,231,350,372,
916,287,845,064,166,308,617,696,625,329,568,581,350,950,455,050,764,021,270,
845,425,201,700,455,244,644,515,078,506,681,169,836,958,835,407,553,944,896,
659,913,071,996,800,193,824,186,026,055,987,815,658,038,586,462,088,010,129,
462,670,042,461,954,048,571,711,361,961,390,063,984,089,311,674,555,892,767,
283,266,219,089,224,000,452,033,844,796,563,652,659,881,898,561,097,225,441,
585,475,731,825,437,020,482,293,660,732,731,491,908,585,575,431,334,162,183,
700,429,485,791,727,177,650,508,033,008,531,589,485,855,708,522,043,524,963,
249,038,626,738,546,417,861,676,720,271,186,993,998,958,679,903,652,377,402,
636,399,721,388,790,498,370,880,497,417,330,846,231,427,674,085,467,925,557,
195,041,613,701,918,560,148,924,777,854,012,592,210,131,257,521,987,532,192,
451,890,737,854,609,725,796,653,236,397,539,643,823,501,581,489,643,797,382,
009,246,411,597,669,514,879,353,901,235,614,921,096,932,771,823,387,092,407,
548,795,612,229,880,319,712,943,404,081,110,057,010,846,737,510,841,688,382,
808,897,455,526,230,352,418,928,264,799,519,425,509,391,211,091,558,222,394,
020,010,634,826,516,516,577,787,650,003,018,202,541,758,819,967,632,230,908,
518,446,045,082,423,608,746,271,468,714,465,107,005,296,862,480,148,619,630,
492,934,220,113,190,911,774,625,276,054,854,515,488,577,182,678,675,773,604,
320,274,402,669,907,917,551,451,728,618,761,982,530,500,921,668,221,045,738,
048,309,156,689,677,701,111,336,451,728,857,115,757,600,508,725,310,030,260,
502,267,304,611,618,926,295,865,278,504,891,596,959,386,610,740,262,420,382,
210,336,617,393,620,082,564,621,024,051,642,100,049,548,850,769,109,654,970,
084,485,994,175,323,186,060,957,475,070,214,948,838,044,491,732,629,042,659,
609,434,576,250,008,513,342,858,672,691,791,258,425,796,635,243,898,033,108,
469,222,888,404,978,474,467,975,403,975,560,413,947,892,097,985,910,246,966,
583,573,485,696,464,284,536,090,745,013,982,415,220,605,868,238,011,350,478,
234,103,567,250,037,948,087,820,858,716,315,223,498,576,956,220,203,803,388,
005,583,401,882,244,680,473,331,584,856,144,440,971,224,367,542,341,133,654,
723,138,049,122,163,713,561,638,083,951,003,151,919,859,541,219,861,252,715,
078,329,067,706,767,819,536,489,003,900,944,828,937,706,021,342,633,275,640,
111,767,284,206,462,987,826,006,154,209,846,243,788,057,850,252,087,667,620,
608,624,550,784,001,398,325,080,037,358,435,926,522,675,105,187,709,601,466,
096,147,055,030,147,895,412,388,222,524,290,156,591,266,977,438,879,266,933,
387,162,626,082,417,488,062,024,913,980,032,200,289,034,595,857,242,165,375,
391,058,317,716,417,607,574,850,051,346,852,776,213,009,017,277,817,556,758,
573,463,926,982,456,806,158,948,306,289,446,223,521,338,811,777,195,561,972,
663,644,387,739,417,295,898,533,037,438,067,369,908,773,491,204,553,576,708,
841,789,245,503,944,169,282,870,832,539,353,259,488,947,789,810,617,683,449,
363,645,255,720,991,661,421,045,949,500,449,046,842,849,282,901,965,809,732,
620,470,611,326,900,276,532,541,327,831,759,197,132,970,375,966,976,622,933,
780,973,897,712,898,856,350,498,729,088,958,498,561,168,531,565,796,079,324,
315,619,740,693,544,525,325,128,479,100,285,889,474,593,788,900,671,973,824,
027,402,461,590,913,553,597,079,610,463,389,364,160,191,751,078,699,699,497,
006,951,206,095,543,665,775,275,226,144,707,935,883,251,534,936,210,506,312,
858,824,433,487,538,898,008,049,223,214,002,717,641,103,592,465,394,589,001,
164,418,768,606,697,109,567,328,166,110,682,561,324,384,270,307,284,327,170,
507,114,048,403,745,732,051,769,629,608,538,814,093,980,770,652,368,858,637,
521,350,948,191,933,648,823,290,714,945,845,801,028,914,797,946,111,866,320,
000,090,407,188,379,524,787,526,691,248,516,994,619,122,073,067,540,297,119,
022,266,205,984,771,145,476,521,719,956,517,717,991,786,074,075,382,898,356,
789,294,364,245,557,274,558,519,466,511,477,839,332,973,545,514,934,799,764,
996,942,532,932,307,323,744,757,131,736,533,321,654,969,066,802,259,521,654,
005,053,542,363,639,022,248,562,530,794,424,159,299,759,623,812,920,092,596,
780,198,308,162,217,028,250,984,041,960,476,620,773,767,371,847,138,363,179,
356,933,298,154,767,238,416,340,700,406,772,875,865,071,045,918,751,867,296,
777,843,083,788,306,896,996,866,412,732,140,191,186,593,619,879,016,656,448,
760,726,459,342,388,418,175,962,168,317,962,181,455,328,545,524,749,326,666,
682,075,860,605,769,892,703,980,444,094,025,235,685,602,215,725,113,299,163,
802,892,911,844,632,024,896,090,473,474,479,248,891,432,891,685,969,375,502,
509,381,633,962,266,162,483,959,423,122,697,694,405,158,440,390,156,114,129,
046,884,753,808,208,117,844,029,057,984,036,614,737,413,353,232,254,362,836,
281,022,069,543,176,739,445,278,736,556,368,594,268,233,288,628,003,044,739,
954,652,769,038,195,675,306,812,106,534,949,931,717,558,156,140,404,417,956,
497,259,913,043,621,444,979,745,253,066,335,495,202,129,529,884,546,791,067,
051,120,811,813,356,744,951,516,604,173,783,146,554,456,278,019,987,088,300,
173,601,849,999,669,701,073,112,697,951,211,563,708,822,300,873,343,610,757,
518,876,728,342,328,660,081,589,853,048,509,852,900,874,476,533,707,203,299,
440,914,237,551,088,947,070,764,175,035,131,765,598,424,979,057,930,968,183,
047,916,487,569,992,037,557,519,562,714,362,249,594,497,279,569,664,744,665,
135,109,978,207,190,332,026,672,554,869,116,868,732,005,357,470,854,696,477,
863,942,976,361,196,737,902,123,910,333,902,191,841,940,384,391,743,936,519,
265,348,119,425,525,810,713,707,864,835,089,371,892,291,483,889,859,069,138,
127,076,391,307,462,435,318,966,552,614,387,764,878,074,536,183,533,127,432,
766,022,125,645,409,088,089,976,878,026,784,473,974,062,806,130,383,201,270,
619,739,879,950,991,185,272,178,210,713,601,981,721,065,366,942,096,523,865,
362,798,638,570,589,671,606,590,829,179,584,515,074,653,496,224,226,563,351,
515,052,745,541,078,321,631,735,767,411,078,211,759,590,269,863,374,038,760,
555,976,063,757,555,381,244,772,066,025,181,134,893,233,699,329,566,951,366,
851,084,631,308,900,805,714,523,479,881,665,483,150,697,536,054,753,917,023,
580,617,160,866,753,227,002,044,774,272,005,712,341,924,871,665,640,802,898,
853,482,220,386,508,132,020,421,334,095,085,739,050,883,055,896,668,758,622,
168,135,070,280,637,647,580,870,547,762,081,249,903,586,998,027,949,445,662,
973,052,457,711,281,694,223,513,494,881,124,213,166,288,142,163,455,931,232,
554,288,628,155,742,267,126,159,146,416,321,154,922,177,242,681,991,840,978,
294,400,231,833,028,565,849,969,689,562,534,714,270,517,925,380,753,814,966,
836,309,264,179,117,462,445,731,365,411,723,792,869,184,933,703,363,854,126,
003,497,014,975,533,917,241,552,553,090,318,403,307,258,341,178,779,798,495,
583,616,511,856,289,413,526,226,384,512,124,842,189,138,813,617,358,082,826,
502,649,127,158,935,803,480,660,920,383,032,894,667,989,680,643,610,410,286,
608,810,862,818,962,819,497,506,878,157,903,010,447,530,070,716,279,308,423,
002,499,033,184,990,158,658,107,751,423,227,281,557,735,476,181,344,009,546,
542,288,139,889,795,393,885,720,636,963,401,208,078,492,744,982,059,209,519,
630,357,633,763,679,104,327,805,961,848,259,331,794,565,747,090,684,849,176,
517,957,631,961,057,018,495,880,611,261,744,953,695,738,843,898,900,389,660,
966,678,718,093,979,502,869,958,359,633,121,467,147,017,809,559,779,415,030,
613,835,922,617,309,625,415,637,142,132,903,200,414,556,348,395,798,693,226,
051,225,153,351,967,324,986,385,933,922,716,055,326,705,323,487,756,075,772,
711,550,840,936,237,740,828,212,237,937,149,663,239,543,448,380,989,948,229,
444,024,731,862,606,128,023,672,936,790,429,573,102,346,347,750,692,578,914,
425,274,469,511,913,991,690,422,458,651,206,462,028,522,161,055,455,364,154,
970,987,091,546,648,332,086,978,286,267,529,137,336,005,220,296,434,286,958,
095,760,173,229,602,619,022,591,968,057,065,931,480,401,200,298,135,225,469,
891,564,741,591,901,748,912,591,378,846,955,164,601,232,972,228,064,341,038,
859,085,396,576,810,707,806,479,349,027,473,519,828,290,580,524,683,109,174,
576,119,790,521,252,305,650,921,360,954,626,126,565,948,983,118,213,488,138,
754,172,333,125,547,529,614,753,660,560,991,512,926,560,699,464,021,055,034,
143,660,704,779,520,573,209,715,527,482,389,013,457,230,975,242,365,501,276,
879,427,607,258,459,023,819,991,040,611,957,054,389,830,957,112,951,991,827,
648,786,812,742,298,946,925,142,710,720,149,232,124,996,175,604,403,696,807,
908,655,266,242,942,584,040,780,581,877,723,491,603,092,065,023,956,615,956,
224,173,936,191,985,906,563,692,676,856,445,610,183,961,832,181,271,837,740,
003,800,284,587,245,827,188,381,903,603,085,832,003,785,828,005,638,817,729,
438,585,647,947,103,923,902,535,121,333,225,075,624,651,836,241,322,709,295,
369,071,034,116,241,076,851,154,952,329,648,660,151,221,293,087,417,167,370,
075,563,300,740,103,037,447,470,939,283,088,498,285,431,333,366,008,638,349,
456,012,085,819,100,579,036,122,434,638,402,489,354,524,419,143,254,333,466,
305,433,587,867,812,780,896,450,843,117,485,927,494,728,928,956,323,251,766,
824,484,815,513,456,674,111,493,861,439,139,672,316,779,657,027,138,477,884,
521,804,179,902,080,739,110,736,491,633,036,744,213,786,872,609,976,785,795,
597,241,128,364,673,363,926,208,410,288,840,762,786,557,706,035,279,101,462,
264,629,609,231,081,409,392,261,485,098,297,041,071,928,557,719,402,235,844,
157,627,360,012,850,530,685,436,394,107,767,052,712,915,404,070,161,774,615,
760,370,430,924,152,413,477,057,583,012,884,050,657,780,327,386,354,574,301,
750,107,800,942,274,649,052,275,442,026,233,307,198,147,634,329,718,561,846,
850,624,458,423,803,839,672,396,530,550,008,232,599,397,640,709,822,641,848,
514,237,608,834,833,792,112,284,812,645,683,385,527,555,476,254,557,863,786,
971,395,929,237,598,463,129,674,734,370,114,740,591,261,660,094,020,147,115,
982,546,530,839,651,244,320,954,084,835,164,062,655,931,680,912,981,956,917,
036,331,427,951,745,352,149,636,786,004,813,269,683,610,139,182,298,578,804,
274,851,660,008,979,526,170,076,653,441,991,490,578,645,718,033,615,308,655,
046,157,008,622,622,197,405,909,540,305,484,945,820,645,273,030,119,965,982,
600,104,560,023,297,053,703,848,863,648,731,386,537,446,275,515,735,944,188,
058,275,154,065,177,662,470,383,496,330,398,665,568,841,707,567,131,306,557,
381,669,145,306,311,484,602,023,363,241,521,843,250,624,543,506,327,019,034,
205,168,524,194,192,502,744,677,387,884,948,590,539,171,119,035,987,669,269,
746,712,140,992,255,923,120,961,366,625,274,530,658,903,406,465,412,898,873,
093,156,042,853,359,467,081,092,406,065,061,454,245,544,860,216,427,436,978,
329,602,448,540,093,285,711,508,229,425,542,736,589,371,346,053,372,746,648,
871,177,637,240,184,540,780,555,572,026,255,292,416,985,682,124,423,486,627,
419,500,745,162,934,501,805,748,271,473,451,328,862,417,896,868,008,411,018,
776,513,594,594,118,068,497,264,593,200,707,523,050,219,166,871,890,507,006,
065,562,669,217,845,753,144,955,969,066,649,149,164,881,304,896,913,692,349,
100,126,501,805,246,289,088,696,934,157,786,722,155,561,105,870,807,393,422,
753,807,485,310,670,280,077,913,689,299,875,295,648,060,258,440,962,464,505,
729,415,987,609,506,123,504,048,629,874,039,526,109,861,724,858,705,751,457,
244,254,496,133,151,039,258,166,453,098,967,933,825,056,814,443,443,191,571,
346,721,404,343,664,772,485,809,966,499,209,762,756,499,743,665,685,886,696,
697,019,252,450,653,338,532,000,921,624,992,970,634,953,088,483,050,207,963,
603,845,631,724,547,155,215,795,298,195,828,845,638,436,558,157,022,522,826,
860,024,977,155,045,226,556,219,536,486,766,140,317,519,292,249,901,261,795,
278,492,263,268,113,920,723,733,141,195,741,245,729,588,371,733,124,706,445,
509,505,325,775,289,901,766,208,570,635,425,770,228,601,227,176,201,164,156,
948,154,902,397,411,807,108,768,262,850,823,347,005,761,165,594,794,524,160,
854,381,921,824,156,137,633,618,493,339,344,184,198,999,059,369,385,929,245,
615,147,740,144,968,323,126,219,253,843,451,098,906,360,257,197,053,376,012,
279,313,956,429,365,226,672,930,487,134,850,729,694,167,604,913,926,605,916,
331,715,412,340,069,341,222,101,960,919,380,521,260,666,721,644,727,383,218,
680,770,432,089,074,748,402,936,538,662,295,258,900,148,811,578,329,931,869,
441,815,523,751,820,418,756,237,300,734,840,727,654,448,186,441,120,012,907,
321,207,971,648,673,144,302,396,981,078,341,530,848,259,788,465,786,773,933,
113,545,649,043,975,572,334,051,467,446,191,975,228,122,807,061,803,333,522,
778,942,839,161,961,753,372,008,000,023,307,640,326,298,350,444,439,230,256,
451,515,485,369,819,845,793,972,348,565,315,856,116,121,493,016,429,985,757,
598,477,845,779,889,785,765,246,256,902,273,382,055,181,158,537,471,399,558,
260,531,490,844,884,602,478,106,343,725,488,045,885,737,700,143,823,711,200,
471,823,256,302,363,930,760,592,787,567,917,529,419,356,399,825,306,130,061,
042,488,834,906,651,869,350,096,392,191,275,099,492,978,097,546,121,147,253,
773,564,916,788,014,523,207,994,989,484,653,681,721,112,243,991,451,662,688,
579,602,466,513,399,702,865,691,671,115,622,212,315,271,818,066,928,085,832,
463,697,656,089,118,882,374,852,190,398,931,281,174,357,644,334,927,274,291,
539,908,669,464,762,944,370,646,424,767,368,267,630,803,310,951,582,045,155,
707,163,854,258,555,602,477,851,563,873,000,927,569,937,145,118,776,344,106,
712,757,924,416,861,271,150,464,697,721,236,963,531,957,827,038,309,172,298,
040,108,581,190,722,917,275,774,709,153,986,754,662,778,377,723,299,874,344,
770,549,303,595,155,964,640,357,609,091,047,610,705,512,546,266,998,208,781,
321,169,093,390,968,633,234,221,208,845,047,576,441,678,253,100,096,218,825,
120,834,051,800,071,743,808,350,052,630,043,973,313,885,257,763,033,497,136,
854,495,818,945,835,396,202,861,532,251,162,744,223,004,981,621,069,445,693,
273,665,973,424,312,596,598,505,999,810,413,797,402,274,148,312,648,752,075,
833,920,893,802,428,554,498,684,817,931,027,888,597,965,807,501,906,449,176,
686,972,675,586,986,911,858,796,215,611,370,009,818,109,251,886,850,847,052,
806,938,678,407,505,699,489,907,000,690,228,546,215,371,104,606,932,774,796,
616,321,823,798,673,981,462,742,935,691,638,018,797,971,722,818,323,063,139,
178,638,248,483,023,907,531,763,354,925,939,984,137,718,436,393,413,768,796,
250,198,538,715,328,400,166,150,553,828,888,597,208,769,952,375,903,209,357,
989,537,774,644,335,758,412,350,891,794,152,845,118,721,104,539,650,579,010,
718,980,185,302,705,698,164,640,870,687,490,651,861,940,659,432,128,533,415,
585,551,658,183,154,394,003,872,336,383,405,472,119,719,177,222,534,044,669,
709,007,042,253,713,691,382,244,452,843,651,153,283,278,884,907,346,023,847,
320,833,559,562,940,056,136,901,425,894,197,571,455,529,153,888,505,942,068,
449,852,913,405,274,807,652,125,660,194,650,397,666,504,052,151,181,258,379,
848,643,417,931,862,645,837,807,750,771,915,411,608,788,037,522,239,401,589,
858,242,000,517,758,868,674,449,820,508,157,658,923,727,342,181,368,179,300,
114,817,016,021,799,089,359,205,755,802,745,166,331,286,168,998,383,810,266,
703,129,658,372,334,877,821,130,905,185,541,318,151,145,260,167,683,748,001,
426,997,850,713,298,757,860,341,447,981,046,988,428,766,634,654,959,387,668,
586,952,887,036,883,513,518,936,776,859,428,940,711,948,946,337,349,623,065,
473,035,460,034,238,169,997,558,369,594,147,985,288,217,783,882,187,071,891,
171,535,395,283,234,808,178,313,456,860,424,614,594,146,225,469,747,249,580,
011,831,386,702,053,422,747,701,653,869,149,182,207,360,396,877,391,957,820,
970,438,918,699,755,562,853,964,364,277,505,489,659,842,593,796,374,664,260,
658,162,601,914,947,201,735,065,508,244,640,683,174,158,880,713,192,004,490,
322,463,197,584,686,911,202,529,446,232,716,408,800,281,933,878,532,028,167,
912,729,488,697,270,014,363,317,448,058,797,686,221,114,449,959,679,404,192,
003,674,369,422,242,506,439,839,674,062,563,503,177,488,235,304,933,993,835,
006,198,024,172,227,751,841,284,692,157,421,860,199,950,089,243,923,250,773,
825,475,516,651,264,254,027,818,434,670,878,625,143,945,260,958,209,678,693,
701,595,690,416,929,717,065,660,302,628,760,519,919,972,000,539,535,468,776,
085,854,499,497,547,626,820,730,306,992,215,398,059,250,081,872,547,405,141,
955,733,435,076,430,663,650,229,165,707,367,266,464,177,042,363,865,377,022,
623,885,013,979,392,735,359,249,029,256,092,891,179,040,416,712,447,875,877,
617,698,221,289,889,217,677,514,084,753,851,143,701,197,148,144,719,239,004,
966,038,356,935,989,021,240,684,825,822,276,379,728,896,948,066,364,790,249,
785,805,744,616,538,668,651,879,647,657,255,982,103,589,646,274,309,797,156,
326,053,085,790,135,794,046,658,702,839,574,940,597,214,755,996,343,445,846,
138,229,018,549,096,438,894,373,539,331,066,671,817,276,540,279,191,427,416,
669,196,064,815,331,124,717,173,159,891,531,271,614,481,073,249,965,547,702,
169,488,517,183,687,507,332,101,628,868,103,566,663,489,752,717,672,279,179,
745,488,643,031,963,639,271,744,308,820,962,006,942,396,023,477,315,250,050,
220,111,406,928,585,790,205,170,464,099,383,684,270,538,877,424,213,848,016,
135,329,521,668,354,430,353,126,015,621,071,767,229,472,073,125,115,300,008,
218,911,066,028,274,555,415,380,044,487,695,558,392,891,451,441,135,305,170,
046,378,917,790,399,000,386,918,099,449,077,918,431,280,679,313,734,208,066,
647,723,711,467,420,037,867,410,682,014,978,416,590,988,450,300,443,895,044,
247,670,029,789,864,896,473,382,179,893,045,693,020,790,923,298,683,204,079,
685,568,368,301,862,674,320,175,991,483,063,214,264,377,945,043,111,200,112,
429,234,285,273,971,725,673,600,916,012,847,920,118,069,345,429,107,493,776,
442,519,978,478,400,581,050,746,631,399,532,924,856,355,883,544,441,321,814,
633,393,627,666,939,488,055,221,352,480,954,003,685,237,857,469,934,058,574,
836,790,664,107,770,802,776,359,305,586,412,655,771,630,504,204,208,639,475,
648,419,598,483,090,033,999,383,269,241,983,920,370,791,054,994,338,671,916,
703,287,415,769,022,886,448,871,363,915,815,337,068,029,335,266,922,506,137,
780,683,217,024,907,974,425,724,276,571,447,500,646,457,787,293,951,985,572,
815,467,268,307,055,963,468,628,425,521,487,338,846,765,387,079,406,590,332,
901,319,165,755,358,518,278,774,418,257,416,664,982,533,316,189,711,459,298,
636,523,930,887,772,576,791,404,631,045,508,263,128,719,498,149,819,718,497,
682,414,464,651,602,747,183,797,469,352,406,719,076,281,256,728,975,648,430,
684,847,222,830,093,464,214,549,806,533,098,911,240,949,036,654,893,132,583,
016,373,959,907,476,825,960,474,261,727,024,342,266,598,737,416,681,451,830,
288,763,917,204,180,026,160,621,607,858,895,314,877,735,117,482,806,404,339,
418,400,321,801,214,623,904,390,237,175,712,105,507,668,539,113,592,459,367,
266,375,598,532,324,153,617,422,966,612,576,141,380,331,732,671,844,325,106,
333,559,771,802,581,422,753,890,264,034,719,629,373,419,267,310,305,682,599,
822,083,062,853,180,154,011,246,239,746,580,348,383,374,252,826,082,347,540,
745,648,790,476,334,458,910,679,237,055,991,520,391,804,172,201,655,287,302,
740,223,239,820,143,107,512,146,035,656,986,803,983,547,489,721,238,407,310,
939,714,083,395,305,205,884,118,338,483,207,340,919,656,023,776,122,020,408,
799,899,123,145,789,088,193,014,535,956,821,861,323,337,899,255,251,218,230,
676,419,672,732,216,939,866,103,900,600,387,796,193,814,837,424,519,200,909,
190,225,670,102,173,980,538,694,452,653,664,450,435,950,167,252,824,695,330,
513,558,033,224,069,081,230,833,657,441,316,985,499,252,748,020,152,545,828,
491,985,246,697,704,702,916,503,564,687,366,201,628,059,978,006,333,678,103,
228,442,207,447,009,996,688,576,527,088,262,386,263,447,359,544,553,032,423,
242,364,405,551,963,496,023,039,990,167,348,499,228,249,447,806,877,915,384,
350,144,718,202,537,589,882,372,634,539,994,427,328,427,419,793,502,760,540,
541,065,911,321,555,208,327,800,080,996,830,912,879,053,986,360,972,731,182,
151,832,752,228,474,633,457,857,352,106,587,019,229,566,910,490,485,798,959,
476,820,341,962,511,370,372,258,946,733,118,286,041,069,111,953,135,437,277,
159,346,038,944,885,735,381,091,506,170,940,198,051,805,169,205,653,124,035,
750,305,190,202,997,880,834,898,873,682,410,875,474,798,505,021,048,101,242,
429,705,975,279,747,359,142,079,466,835,962,453,350,994,037,416,728,916,472,
548,133,278,424,556,281,800,146,381,433,808,254,906,316,824,439,190,628,328,
171,103,460,118,198,896,866,973,995,458,099,530,096,893,226,692,439,546,530,
314,512,757,062,316,727,350,451,279,955,771,768,918,800,515,080,546,019,558,
003,327,499,046,457,266,055,775,700,425,823,575,750,348,310,266,984,498,991,
990,365,551,854,735,571,792,925,170,975,832,228,247,499,379,893,129,193,414,
387,794,925,638,712,291,202,334,817,135,098,588,002,001,232,593,376,634,072,
821,665,866,558,936,252,495,267,069,856,895,307,830,688,931,357,952,405,594,
690,400,405,358,258,796,544,928,280,517,837,589,598,690,553,431,165,137,362,
229,881,013,190,013,081,059,793,704,526,670,632,349,523,241,252,268,211,172,
728,190,559,802,414,375,943,714,128,512,839,221,976,708,717,870,459,301,459,
936,477,444,359,365,127,413,034,466,714,647,132,236,564,342,904,603,529,290,
622,258,620,705,124,034,001,199,454,243,311,171,846,130,772,677,828,641,227,
998,735,396,705,891,273,715,442,442,150,080,171,862,550,858,748,027,926,582,
383,267,104,068,033,411,220,979,312,811,369,312,237,729,491,493,498,452,562,
503,306,474,247,711,227,163,233,974,136,436,602,998,990,134,894,862,060,457,
427,509,953,266,340,332,612,490,908,853,437,459,534,744,101,574,193,774,034,
814,442,490,512,598,801,882,568,135,850,427,661,820,829,084,903,777,357,381,
423,359,632,309,597,529,858,547,174,588,781,507,830,498,576,292,051,540,130,
288,946,374,547,698,933,073,451,321,396,926,048,212,842,691,116,264,355,039,
908,011,036,295,717,715,143,465,232,609,939,388,936,800,800,953,641,159,335,
748,889,358,715,667,529,020,232,269,530,761,575,147,571,070,679,246,867,213,
487,682,810,142,883,443,467,707,662,885,004,979,359,070,733,786,117,155,386,
383,521,130,124,289,760,616,630,999,665,888,090,032,453,329,286,148,923,648,
381,379,859,986,213,066,296,612,105,931,984,414,354,660,737,198,596,882,458,
934,087,183,478,796,105,932,937,625,327,015,761,537,202,579,205,938,361,495,
897,770,618,278,616,909,453,997,890,602,457,210,625,875,193,020,447,295,511,
705,664,453,526,222,462,197,514,708,748,973,727,558,776,728,091,752,288,359,
637,494,612,001,513,277,658,941,197,214,371,387,801,564,370,019,768,198,871,
327,020,706,422,440,532,187,402,028,635,481,872,154,814,577,302,568,002,700,
192,284,864,285,710,545,773,117,590,940,984,718,999,396,723,236,870,817,749,
036,554,616,306,300,673,934,291,825,536,140,254,674,090,040,788,483,503,025,
102,561,960,958,168,205,993,140,131,457,918,747,131,119,996,077,407,018,652,
033,369,171,179,638,153,953,779,503,879,857,140,114,380,870,490,723,951,409,
039,090,947,267,834,372,059,907,008,299,618,790,605,484,902,702,515,279,645,
267,806,447,719,275,042,208,279,983,982,775,568,353,462,743,278,022,011,403,
690,116,198,998,272,421,863,697,653,099,806,628,878,303,371,746,343,151,339,
249,706,086,049,866,777,935,769,371,829,090,146,526,548,655,387,488,475,784,
742,901,051,458,187,666,933,230,236,063,932,337,970,098,329,913,111,253,376,
340,110,566,848,433,254,198,502,668,843,608,223,088,365,175,871,190,940,102,
026,150,837,387,444,836,483,845,877,806,125,304,773,490,122,695,638,210,699,
846,809,500,421,040,230,119,372,023,038,100,823,641,243,656,733,706,321,707,
334,057,595,887,729,451,845,463,643,311,233,689,176,765,988,537,490,170,343,
579,726,866,831,021,218,451,645,437,851,276,526,349,073,419,726,043,218,787,
099,390,243,734,188,367,515,593,113,523,683,402,854,015,566,771,290,424,640,
110,999,556,879,126,491,038,419,271,822,541,812,089,645,792,846,072,818,237,
294,868,639,962,886,777,656,305,932,876,463,019,007,933,208,259,030,446,742,
682,001,947,793,369,231,227,176,187,538,440,395,735,034,200,032,733,616,188,
497,457,706,875,138,128,840,685,647,020,728,129,648,865,757,797,982,531,306,
964,103,179,041,015,691,346,392,952,476,639,085,422,687,565,395,813,838,466,
526,578,535,858,908,948,758,600,095,955,910,052,108,074,362,708,890,238,941,
183,154,800,552,681,746,630,230,040,226,750,184,178,423,016,415,299,726,390,
468,981,702,613,851,215,813,902,831,024,136,096,264,144,663,321,404,113,921,
310,493,453,579,025,884,335,068,660,438,897,980,622,852,779,101,765,725,511,
065,523,339,180,902,174,101,633,135,152,599,875,987,768,344,118,360,186,250,
940,168,042,626,867,049,033,572,508,224,723,299,418,297,051,564,757,947,399,
802,666,261,690,960,670,646,319,455,652,133,036,105,005,122,052,221,899,989,
649,284,689,349,893,578,075,809,071,753,620,284,570,911,537,549,732,851,400,
697,686,314,343,337,890,252,786,965,263,224,419,053,481,683,309,671,867,321,
768,238,017,525,193,025,199,331,173,713,358,292,810,850,947,637,760,490,001,
804,313,762,335,571,973,125,083,011,823,523,415,287,316,888,149,710,011,836,
736,745,394,618,297,239,727,864,457,831,352,363,953,037,450,896,049,292,786,
496,003,674,129,539,710,438,755,588,174,099,866,348,214,884,146,685,802,745,
810,096,967,482,606,754,436,215,448,484,327,652,225,305,158,207,488,718,301,
090,121,169,230,870,247,943,832,132,746,364,299,078,239,553,345,281,350,984,
105,432,856,823,078,374,107,442,613,769,685,883,133,661,286,885,026,078,792,
339,555,074,193,747,452,242,142,490,108,732,342,644,201,167,395,601,254,704,
879,187,031,407,287,334,607,833,996,404,863,598,929,199,231,345,541,697,834,
315,757,120,710,426,877,861,307,044,330,539,575,756,927,369,483,730,332,636,
608,323,182,359,435,490,620,088,070,343,090,753,386,794,709,223,954,611,162,
542,847,514,788,651,245,163,072,076,069,092,655,516,427,845,088,957,486,568,
215,433,849,261,950,787,911,516,453,994,712,803,779,940,449,061,372,252,275,
758,251,164,579,679,311,747,781,111,654,530,259,721,080,132,192,475,393,575,
184,254,620,259,391,453,593,252,623,892,183,445,514,939,351,206,065,222,679,
065,240,900,027,955,854,685,260,307,200,077,788,000,213,058,374,387,255,615,
147,495,203,765,658,787,260,495,874,420,860,449,791,417,691,251,957,039,868,
089,414,954,211,557,973,197,364,316,427,683,306,244,427,595,014,827,053,067,
591,553,543,677,778,901,919,103,099,319,818,084,882,511,672,010,313,970,866,
183,555,421,889,319,482,543,995,272,464,881,089,679,084,674,502,324,030,794,
529,608,181,237,875,135,297,508,138,393,916,482,619,862,466,365,206,658,114,
642,511,767,401,091,351,596,859,455,234,068,335,718,825,685,733,546,931,938,
421,722,312,871,402,703,006,182,092,957,252,652,028,734,927,471,649,531,513,
017,422,638,599,157,315,491,440,164,928,228,224,062,206,689,578,611,600,562,
388,975,700,026,404,435,427,233,172,099,926,376,394,657,401,956,812,919,233,
648,813,736,870,773,862,429,376,629,204,411,961,457,848,494,170,516,536,615,
457,571,322,725,609,095,898,614,993,237,271,601,535,467,593,229,483,185,075,
101,945,798,161,175,247,403,761,370,299,468,918,991,328,455,589,611,839,468,
086,252,877,132,032,976,291,835,040,021,990,199,159,480,185,725,930,894,016,
768,945,297,380,674,248,546,404,173,858,392,706,227,821,931,685,395,387,780,
490,313,268,189,471,441,321,640,438,790,395,968,047,838,761,262,770,202,717,
587,541,063,733,840,921,699,062,017,881,050,542,618,426,148,353,817,414,942,
478,991,162,568,241,541,538,856,082,142,175,503,517,526,161,234,068,208,020,
536,795,342,017,881,454,808,844,064,509,124,373,799,442,688,152,421,405,489,
797,678,146,763,491,496,449,103,478,356,305,650,365,781,748,663,490,623,724,
717,137,591,988,158,956,378,578,154,698,812,842,091,745,962,534,406,029,143,
965,679,239,211,982,252,471,437,446,171,769,168,730,401,448,312,169,508,081,
508,768,582,317,642,482,358,856,764,008,634,268,832,126,193,825,860,964,173,
444,489,979,562,560,255,958,238,122,245,556,108,244,901,976,252,344,089,233,
521,838,186,630,417,168,811,780,787,596,635,422,604,211,363,820,029,377,282,
460,767,091,690,794,951,616,702,855,207,728,748,249,649,598,248,753,954,101,
726,876,142,484,780,099,748,163,681,871,154,231,798,787,224,293,873,902,711,
550,830,913,832,752,794,286,004,347,239,302,874,260,839,174,478,506,702,249,
346,240,490,873,277,326,800,667,412,394,182,412,754,592,223,011,574,770,341,
546,443,348,864,315,443,075,196,489,162,462,061,303,502,359,223,088,770,961,
270,827,837,875,517,045,039,577,878,208,929,000,081,762,190,754,012,669,231,
921,357,537,388,618,581,110,384,767,553,057,537,156,112,203,305,004,928,491,
491,962,972,681,124,301,716,566,675,322,770,733,161,334,033,095,211,199,328,
916,225,934,504,355,781,670,993,355,016,059,139,865,286,236,502,988,316,592,
805,472,930,148,354,262,052,224,846,599,019,347,468,231,698,989,600,116,055,
250,440,764,044,100,218,236,462,786,437,506,859,286,752,597,473,733,406,185,
119,806,589,657,380,796,618,159,771,590,284,903,726,193,523,680,898,433,065,
597,155,503,960,252,870,417,076,680,658,450,357,621,617,637,467,606,110,028,
847,965,160,984,766,933,132,000,657,941,582,997,003,647,853,372,223,158,136,
260,806,291,359,787,469,615,395,844,403,958,635,364,883,309,655,138,065,621,
225,833,783,189,060,478,374,309,856,823,619,614,095,628,815,180,114,942,985,
262,584,553,903,650,160,494,461,765,409,793,596,025,329,833,834,617,638,673,
547,295,910,570,914,247,873,272,481,097,775,160,849,640,459,781,257,317,676,
579,960,486,623,120,297,547,008,338,509,280,941,578,951,967,410,570,734,276,
840,972,495,517,879,783,597,948,155,123,648,453,655,863,201,033,377,741,737,
874,546,984,163,115,502,052,276,866,589,675,048,826,703,963,462,176,160,960,
458,953,145,088,560,573,917,235,783,083,909,237,216,270,091,783,072,420,035,
727,070,336,643,310,111,989,075,214,373,922,912,560,437,105,582,985,591,621,
625,351,516,192,770,154,757,194,063,649,396,480,255,842,764,632,479,191,258,
045,425,048,800,413,124,899,134,289,162,845,295,059,609,131,294,404,179,393,
010,753,220,125,471,184,973,845,015,344,293,772,251,948,233,237,711,876,873,
391,825,860,693,176,904,221,915,391,507,725,195,134,844,415,231,071,924,654,
458,955,676,141,804,015,600,035,674,773,187,262,537,756,111,379,485,996,044,
888,351,952,449,095,748,011,871,648,442,489,687,408,714,254,122,266,005,398,
877,901,035,735,732,407,036,228,773,340,055,060,957,642,400,516,799,520,327,
778,044,158,449,337,798,505,032,943,523,369,556,192,231,687,793,389,452,073,
961,740,263,484,543,349,482,012,044,976,869,895,915,247,537,253,090,124,658,
447,998,708,638,572,024,964,879,322,246,660,525,342,135,994,343,387,787,425,
624,040,543,879,718,563,430,127,954,296,052,651,179,370,439,101,214,284,127,
357,276,195,787,902,139,498,833,323,953,704,203,110,496,615,351,791,992,034,
856,807,134,139,469,624,522,206,016,207,154,681,491,412,678,148,025,355,536,
573,448,264,316,171,087,616,239,489,194,537,186,195,250,920,647,605,257,170,
646,899,113,822,836,542,907,078,949,631,992,448,159,242,970,826,738,558,915,
503,765,353,137,158,876,548,849,790,628,573,235,982,777,479,069,344,824,155,
906,270,644,429,780,578,573,817,559,969,611,817,718,887,806,023,214,701,658,
300,736,947,603,701,325,634,671,411,818,672,169,188,834,784,117,565,554,737,
975,456,413,832,802,784,365,518,303,937,198,615,836,780,056,562,185,074,628,
994,194,158,963,899,024,185,695,615,779,043,686,777,026,876,957,864,985,554,
664,684,531,261,810,520,331,967,407,135,037,133,194,233,948,598,749,917,204,
393,806,299,459,030,977,070,351,781,799,593,292,134,800,779,117,843,986,222,
916,350,262,335,506,197,195,908,105,291,989,384,552,380,523,206,059,676,606,
273,529,624,642,018,853,633,872,783,178,543,810,047,913,730,592,295,766,611,
341,146,378,410,367,695,951,366,578,531,106,531,312,100,294,565,397,827,590,
344,590,976,566,262,401,571,430,074,295,403,800,861,691,767,441,766,459,525,
118,874,649,891,332,341,931,480,397,824,493,995,778,611,176,583,442,785,665,
654,516,376,982,245,436,811,329,565,970,453,740,271,218,565,894,853,160,028,
727,204,218,541,804,562,230,984,067,460,404,023,436,141,167,349,513,303,407,
427,036,764,435,116,685,852,389,083,856,488,559,278,551,903,066,314,351,079,
226,730,633,813,247,146,966,051,692,880,528,886,809,247,185,400,851,239,387,
423,975,622,303,927,605,572,196,842,677,751,736,510,639,327,600,509,738,880,
133,331,497,585,776,367,435,134,397,271,644,018,127,895,391,495,116,627,549,
046,234,522,559,314,369,626,911,005,336,506,264,631,695,997,879,115,383,708,
619,878,726,584,257,968,984,164,820,942,819,288,637,141,315,866,744,503,068,
322,966,669,420,833,104,274,011,135,881,057,692,685,109,010,030,248,964,390,
138,789,877,277,964,865,188,716,636,221,313,754,204,807,452,797,127,502,247,
206,883,043,720,756,664,639,491,923,892,345,932,729,066,156,817,259,847,349,
915,491,230,421,903,217,302,731,271,039,300,603,755,508,773,931,658,621,670,
249,881,328,552,985,414,602,951,102,596,074,066,578,587,729,242,042,129,216,
247,333,188,311,325,562,943,407,399,445,088,702,450,359,853,611,957,856,875,
246,060,060,586,409,602,687,411,362,270,362,210,101,189,900,826,862,286,268,
244,477,717,067,266,665,144,302,617,586,941,678,182,863,209,692,855,757,831,
770,068,621,014,789,156,531,954,129,478,127,791,960,664,803,637,326,228,216,
482,483,050,147,071,570,705,857,950,486,118,400,970,008,463,284,307,500,744,
932,800,686,202,615,867,731,579,569,089,613,790,864,730,403,159,529,208,455,
827,907,830,168,673,829,330,267,453,797,954,799,945,771,479,779,768,105,733,
329,912,315,703,712,951,765,147,187,725,776,361,054,688,903,915,058,170,922,
784,250,676,177,397,814,496,021,006,363,965,158,115,679,474,824,307,612,495,
696,982,769,717,844,802,665,104,905,020,433,426,415,724,748,719,439,848,989,
474,881,997,776,010,411,525,100,805,295,752,073,926,459,759,567,942,881,247,
584,980,530,268,512,872,446,554,705,416,191,049,058,284,582,288,394,555,769,
663,076,745,948,477,424,796,447,831,308,879,798,023,964,271,203,464,071,801,
893,577,455,622,589,240,490,908,813,969,514,046,401,517,315,924,024,177,540,
830,899,002,084,221,976,960,536,766,027,360,621,747,158,158,263,837,370,535,
093,998,289,874,601,606,065,441,063,975,654,131,892,271,085,273,607,151,162,
097,017,411,632,532,114,418,697,889,980,505,947,856,768,752,830,240,183,184,
634,376,984,264,080,533,070,570,454,764,079,805,610,692,677,033,582,235,569,
608,886,488,839,019,769,909,092,413,793,064,149,688,454,837,529,407,758,954,
710,499,233,734,393,780,912,837,893,109,000,300,974,498,714,912,263,534,537,
399,104,426,986,283,100,219,882,377,516,351,819,627,652,123,603,389,323,077,
057,721,378,674,070,085,212,842,460,142,845,574,271,722,775,134,847,749,004,
870,484,429,791,036,534,187,597,167,742,201,493,889,313,647,574,363,111,214,
535,774,081,275,109,777,650,729,153,020,636,001,665,419,087,519,889,525,233,
058,355,072,880,678,097,773,703,725,636,994,273,314,535,051,263,257,056,399,
437,482,825,599,771,121,836,614,665,882,990,913,548,526,156,052,039,593,603,
897,144,040,558,845,403,627,862,748,712,161,931,653,551,999,346,408,960,692,
795,714,233,692,473,801,970,121,490,293,799,452,490,135,834,523,685,511,268,
593,075,652,561,859,616,838,050,699,600,274,497,333,370,685,736,957,778,145,
281,972,687,587,530,128,198,609,925,963,206,718,700,777,150,031,680,969,412,
866,281,355,240,934,275,425,455,045,892,243,367,751,203,799,987,347,023,607,
460,959,061,976,847,877,128,156,617,776,693,575,931,918,437,627,265,105,151,
837,090,426,194,340,058,502,345,871,915,002,312,911,238,819,478,390,775,535,
461,999,267,429,816,005,908,820,066,069,629,163,545,978,461,905,655,315,218,
073,835,153,875,449,096,441,256,740,203,833,705,707,160,816,423,413,069,659,
784,483,456,428,771,016,228,379,070,289,205,060,788,988,731,144,435,608,310,
234,014,397,495,423,927,485,991,549,130,499,547,227,230,741,684,583,002,789,
465,405,651,063,273,742,561,823,692,997,277,129,976,505,452,374,989,488,434,
264,096,145,419,779,189,111,669,066,597,296,359,592,764,279,360,602,612,341,
925,264,500,893,071,194,529,471,708,939,032,384,666,096,419,199,159,401,654,
422,556,147,730,109,053,981,693,091,071,740,477,421,335,863,170,134,853,005,
085,618,396,818,935,711,300,764,626,981,013,988,271,547,559,264,285,857,747,
154,177,070,055,975,408,825,323,841,642,123,062,286,628,782,662,548,474,413,
863,163,230,217,262,498,737,092,119,828,470,520,014,213,870,818,845,101,268,
720,467,189,034,514,462,426,586,408,875,313,546,456,831,414,685,414,681,423,
565,725,571,640,990,533,774,284,311,901,478,565,786,648,192,206,869,774,573,
749,460,786,399,365,117,053,311,846,566,216,745,686,991,548,724,917,170,525,
207,918,337,363,250,027,853,064,702,609,270,994,386,387,016,650,852,858,016,
749,526,660,477,726,472,610,386,226,360,077,276,249,850,284,543,771,329,193,
264,550,642,856,526,734,324,513,936,387,533,010,562,022,019,786,593,838,766,
121,982,857,627,483,838,503,674,416,030,220,547,460,393,267,947,552,876,586,
697,759,526,162,764,599,411,877,812,843,756,440,772,898,532,633,279,214,084,
069,431,185,487,393,147,869,759,624,039,322,269,998,795,072,929,385,464,919,
207,896,785,166,690,595,989,373,696,056,994,482,757,478,813,732,038,783,947,
222,039,877,228,825,618,781,698,986,544,260,129,120,374,424,226,728,664,638,
704,465,580,928,628,393,489,695,285,118,402,649,603,275,882,477,456,331,817,
814,040,122,508,960,287,479,083,918,976,275,258,092,330,360,828,328,185,877,
329,792,210,051,350,022,875,832,471,510,952,721,461,209,635,704,772,321,752,
577,195,891,349,550,166,197,057,675,274,798,030,954,369,450,590,888,459,539,
650,848,721,854,915,383,593,552,179,290,812,516,510,224,995,377,799,558,980,
020,728,679,493,806,903,487,005,969,210,831,303,457,775,232,356,694,191,620,
966,599,464,981,516,234,517,138,832,667,574,120,579,712,382,656,489,044,127,
185,681,530,313,899,007,877,019,422,202,922,568,226,518,224,181,465,829,312,
463,430,454,551,857,482,254,070,861,548,417,103,376,277,192,325,413,537,582,
199,307,854,807,630,336,873,353,549,415,012,227,927,611,435,356,849,308,382,
160,181,249,503,773,959,053,409,663,177,623,284,741,137,494,877,962,950,647,
422,536,122,024,442,485,796,775,881,405,194,625,433,773,397,072,767,283,492,
073,668,855,225,473,392,247,458,085,607,288,687,443,790,455,087,300,719,468,
592,973,036,594,814,841,345,654,465,594,404,722,819,556,004,105,484,681,664,
830,664,577,799,521,480,898,551,623,172,627,927,190,760,210,910,853,895,195,
711,712,651,270,835,231,746,209,813,559,512,060,833,997,333,330,170,553,829,
637,574,461,647,410,453,263,529,285,274,041,989,439,937,912,034,305,935,087,
839,253,603,188,209,710,387,030,756,111,579,621,151,273,748,346,842,666,927,
999,626,070,749,161,792,583,979,725,159,270,548,753,307,564,449,272,267,523,
183,514,898,761,229,629,708,817,624,017,116,137,311,070,121,242,172,805,612,
420,565,669,188,806,038,450,821,341,465,687,725,083,737,744,987,148,490,833,
866,192,919,241,082,071,554,219,665,480,028,635,763,883,069,792,405,088,659,
924,294,437,673,135,230,941,660,913,700,629,365,286,803,227,184,454,726,786,
293,248,576,284,189,410,153,452,081,033,440,185,992,848,517,730,409,505,862,
993,848,502,532,477,058,961,081,624,963,351,471,310,359,780,467,245,718,783,
866,683,811,101,479,551,170,083,260,904,473,453,478,093,037,090,506,180,760,
743,949,827,525,374,508,263,073,920,336,573,325,101,109,331,044,551,978,722,
811,408,991,262,819,558,175,673,814,749,432,556,373,109,572,808,711,639,199,
111,773,694,516,818,522,296,521,626,643,576,259,505,907,741,177,971,258,111,
637,805,321,859,501,628,283,522,267,301,382,105,872,671,690,597,446,570,427,
146,613,956,227,790,323,559,979,514,665,553,880,725,743,464,952,479,464,375,
095,549,664,208,648,102,281,232,121,952,053,622,079,776,313,719,284,413,379,
360,971,812,144,604,180,330,253,859,829,825,038,857,286,122,774,343,917,523,
284,623,204,508,603,158,449,458,255,518,713,369,768,787,011,091,424,922,042,
283,533,486,381,596,719,084,693,473,821,927,224,465,688,144,899,828,362,875,
393,842,570,269,903,296,889,758,326,906,004,712,283,347,371,927,031,829,279,
754,818,634,947,555,946,578,534,211,119,353,262,782,753,875,533,754,203,204,
731,487,364,879,671,387,464,563,698,514,501,921,443,460,526,394,923,273,968,
832,113,021,940,184,661,565,116,573,668,421,648,780,476,624,214,050,065,664,
741,104,141,433,926,380,373,754,433,865,975,182,227,379,329,028,401,815,464,
074,863,974,565,161,610,905,611,976,382,161,049,545,502,922,703,205,539,385,
247,457,481,024,337,765,325,999,264,866,562,459,651,718,638,684,152,398,790,
818,319,269,131,683,595,193,461,231,087,792,377,173,437,961,555,040,789,845,
840,508,551,400,017,319,764,429,966,118,992,839,667,526,650,977,516,456,340,
770,211,829,470,078,666,511,864,530,019,700,702,833,374,146,634,790,340,901,
390,494,046,164,606,513,479,826,392,068,942,517,087,669,834,716,893,423,881,
827,629,470,387,839,378,890,509,539,512,680,055,680,509,420,860,142,491,962,
324,501,709,626,959,907,104,769,470,503,279,356,022,391,891,251,085,884,991,
198,163,361,079,758,775,735,907,280,058,751,700,461,524,958,255,208,368,117,
701,175,287,277,348,983,214,039,180,391,865,579,396,904,935,995,581,560,413,
183,829,598,655,911,469,066,257,310,781,791,065,805,537,579,998,960,282,764,
782,136,908,948,783,251,728,387,845,651,821,222,311,486,550,252,111,493,377,
509,476,067,032,306,671,213,551,384,230,408,647,438,795,907,616,677,742,238,
425,466,945,126,589,369,400,266,829,014,038,698,594,541,610,811,930,220,848,
181,263,681,907,374,535,128,034,752,533,150,730,922,938,843,331,962,293,191,
849,390,953,566,834,641,373,271,109,452,032,053,764,944,952,048,877,366,477,
731,878,667,580,382,902,125,935,132,840,165,467,880,548,829,520,221,322,359,
404,942,483,975,206,527,539,986,607,026,991,360,002,390,968,240,730,043,231,
832,520,882,340,329,802,790,404,383,058,293,043,595,733,816,700,792,144,020,
757,512,891,146,262,107,535,384,744,987,750,364,077,973,249,198,352,082,343,
501,461,066,998,786,448,687,739,352,380,019,593,937,831,897,659,719,670,268,
615,377,629,912,482,274,529,652,746,479,431,261,116,363,084,058,656,628,792,
266,664,568,035,425,881,589,427,956,270,928,813,028,835,645,662,568,887,703,
446,968,981,632,569,646,359,999,368,341,282,591,977,897,361,519,898,655,668,
537,721,153,231,635,288,838,414,433,371,665,785,797,023,884,016,382,919,826,
954,196,225,726,399,835,170,114,421,951,243,085,028,921,021,060,446,929,276,
122,532,704,255,111,895,740,006,152,702,071,999,573,232,445,017,174,273,723,
780,150,638,005,117,087,433,506,651,314,617,851,688,665,388,487,739,421,766,
766,188,494,173,224,134,069,181,545,841,998,425,933,305,802,289,385,334,140,
935,227,462,698,108,819,747,111,429,217,328,011,036,566,461,414,422,534,842,
359,148,885,275,910,674,223,180,073,102,612,571,151,132,354,428,390,528,059,
782,133,984,594,522,154,766,291,017,347,939,096,189,485,110,486,822,593,706,
203,335,166,382,284,348,981,707,203,166,814,127,996,266,143,931,637,730,801,
383,025,914,527,217,026,503,916,386,437,146,823,574,518,380,156,726,165,799,
688,441,781,605,754,770,285,631,150,271,305,060,711,331,483,348,221,408,844,
137,878,302,741,321,200,051,829,761,131,449,207,975,572,672,337,811,726,328,
016,292,068,464,239,523,276,469,426,869,594,623,109,744,362,338,120,547,226,
522,003,700,477,208,588,062,982,287,393,109,164,166,924,700,624,044,421,791,
378,910,360,543,275,833,637,048,939,490,591,682,410,814,865,703,823,182,900,
321,142,343,787,517,489,141,556,434,163,745,509,516,264,248,252,828,538,946,
397,523,781,970,766,258,487,192,359,910,022,955,578,363,874,038,905,423,448,
921,752,339,643,587,799,014,589,579,102,429,157,424,146,403,369,393,339,360,
982,319,842,485,447,825,175,772,299,647,652,801,295,502,939,997,305,114,287,
343,254,584,811,194,110,234,116,889,162,317,854,243,420,684,876,227,406,809,
190,378,019,076,500,059,338,888,754,667,520,775,987,101,735,554,030,706,416,
596,766,610,590,868,676,857,629,904,523,577,177,982,235,290,487,646,759,286,
160,916,556,584,883,458,189,238,373,122,277,858,938,155,508,622,382,724,665,
736,003,889,242,317,601,038,105,726,957,323,973,503,752,393,854,259,388,818,
151,870,113,446,329,400,785,236,116,207,027,352,908,072,069,539,801,867,914,
176,328,067,792,580,660,498,553,044,761,558,693,184,766,650,002,944,503,930,
784,674,031,167,877,819,506,299,193,693,176,268,245,932,930,442,452,990,016,
134,751,200,533,008,874,453,929,617,870,384,759,953,401,373,425,832,368,972,
584,207,620,886,407,658,842,364,083,334,055,726,489,708,193,728,385,503,998,
220,628,595,055,525,475,811,067,221,689,695,641,603,518,063,836,976,313,246,
410,092,571,577,544,019,578,917,580,003,539,776,230,770,508,573,170,731,741,
512,364,129,607,630,159,358,223,052,361,580,561,151,111,284,783,866,807,904,
475,857,943,098,877,920,555,995,443,232,916,468,461,456,508,227,848,169,550,
673,996,592,828,088,500,660,362,778,951,121,260,425,613,709,176,322,714,189,
188,565,241,358,133,294,503,687,403,967,036,304,340,551,122,680,740,988,053,
610,236,474,306,097,572,178,699,750,101,643,608,239,098,304,598,697,574,097,
956,606,006,219,171,332,943,532,938,882,511,362,383,141,440,566,290,635,753,
702,303,250,530,695,878,449,133,224,671,367,424,804,253,450,661,403,574,508,
681,580,404,436,041,589,106,518,311,266,211,784,720,332,407,643,697,582,979,
430,752,441,063,908,437,030,953,399,790,095,818,616,592,639,752,337,101,823,
504,346,867,781,451,144,859,437,189,330,386,321,710,419,635,625,338,262,148,
947,128,841,541,819,220,998,836,883,062,336,422,348,327,078,923,100,357,354,
363,711,060,951,034,654,504,746,805,959,867,560,380,004,702,866,059,033,238,
885,108,068,195,820,566,035,187,439,409,384,786,702,395,857,511,405,099,539,
211,432,449,737,135,257,886,825,379,537,282,279,363,192,720,388,916,545,006,
426,477,539,842,809,542,937,003,968,617,178,561,726,153,626,229,615,046,749,
248,590,993,922,320,294,479,338,053,235,546,389,968,053,412,888,957,946,739,
667,284,301,077,942,430,098,008,920,129,251,927,268,294,502,178,449,181,519,
680,954,674,052,336,654,001,978,077,742,999,846,732,459,581,172,211,507,171,
939,094,180,525,709,535,869,142,863,498,897,764,463,662,647,536,089,352,912,
585,967,526,528,154,616,698,611,610,508,508,669,212,587,055,127,205,742,151,
040,101,972,064,100,166,712,152,680,273,469,278,509,831,850,955,227,022,590,
868,422,187,082,502,358,727,275,382,489,808,179,072,346,057,242,950,855,873,
864,558,163,739,847,402,096,329,655,291,314,416,800,494,506,680,150,670,857,
369,127,465,593,457,167,671,745,977,267,256,195,426,757,516,934,601,977,401,
275,012,916,525,913,554,600,671,036,072,264,276,010,674,631,221,364,957,994,
257,715,867,115,812,341,614,708,246,503,984,077,315,733,912,040,670,282,313,
669,090,533,734,383,081,292,531,973,753,326,718,869,810,692,106,341,787,908,
041,212,015,827,702,614,117,987,655,820,157,399,471,431,145,391,739,381,196,
398,120,572,499,130,609,832,956,293,350,256,777,323,741,017,057,643,622,382,
468,775,509,821,404,531,869,780,763,244,330,220,829,809,349,867,417,854,179,
052,648,924,094,430,572,768,549,134,796,599,871,911,389,893,420,586,761,844,
939,212,972,203,301,092,001,832,259,848,005,601,306,868,458,177,359,775,827,
517,869,017,621,088,555,062,426,372,725,099,159,767,853,767,782,134,035,690,
507,364,084,289,032,625,654,038,695,972,807,082,528,521,632,139,980,253,527,
133,362,549,597,051,597,838,049,786,149,604,951,304,799,151,704,216,143,803,
577,326,233,210,683,006,265,618,512,211,170,830,986,554,950,627,661,866,239,
598,950,775,762,094,013,085,029,480,916,873,586,900,530,380,532,762,608,643,
358,795,145,985,661,600,580,249,923,733,558,907,559,731,928,921,825,287,374,
056,556,545,185,475,213,244,352,166,875,892,384,726,016,082,676,427,296,046,
224,394,601,358,902,015,687,655,836,368,727,223,817,273,833,624,579,066,410,
658,132,444,320,374,729,219,949,572,394,936,044,659,348,882,225,336,247,272,
256,591,816,169,308,066,650,292,293,925,672,606,913,256,693,184,435,810,856,
260,559,802,785,104,014,626,755,711,905,922,453,730,674,438,683,236,338,132,
535,051,204,365,053,153,875,802,908,558,626,279,274,751,951,563,676,386,796,
262,125,104,364,969,634,315,025,904,041,433,095,423,966,519,061,170,172,831,
192,290,223,749,304,649,486,826,535,634,884,675,808,178,497,941,149,624,845,
966,752,387,204,213,285,437,051,503,348,578,229,359,733,518,734,424,723,288,
049,378,685,942,778,127,435,409,114,678,471,497,214,173,918,780,322,216,600,
940,481,301,992,406,400,980,681,632,245,146,152,399,933,471,643,517,002,522,
359,868,912,720,410,068,307,100,143,565,547,242,745,047,475,236,859,246,125,
985,897,782,658,439,772,880,418,436,934,103,430,180,719,214,721,944,573,651,
379,759,614,879,307,453,387,919,037,420,401,556,106,707,370,696,573,541,673,
952,358,809,586,812,367,256,629,279,314,792,557,718,883,587,039,373,664,739,
614,926,178,624,591,569,558,591,627,392,437,725,020,208,313,889,900,942,917,
805,757,721,930,340,285,001,580,381,072,502,951,181,995,105,263,650,777,552,
058,108,748,594,328,487,335,768,249,995,384,686,622,432,981,617,679,957,090,
228,968,527,573,491,301,251,852,248,004,592,044,376,798,668,027,283,428,054,
912,007,778,855,896,052,700,961,944,303,623,926,569,281,511,835,196,587,097,
684,923,656,899,639,018,523,745,839,788,875,448,470,457,420,728,045,441,662,
661,332,785,348,342,206,294,435,193,919,638,163,996,765,182,505,840,502,484,
290,351,779,662,831,607,016,042,979,492,489,576,608,562,679,089,432,502,284,
341,654,234,857,518,088,095,424,807,090,827,773,802,089,169,421,178,809,426,
230,313,044,873,147,681,799,396,441,358,921,740,246,549,406,320,706,732,540,
437,363,412,199,463,645,985,728,749,080,284,865,125,420,343,747,902,614,268,
302,132,470,208,779,749,945,016,840,543,813,707,362,211,294,917,133,491,159,
690,567,286,142,054,962,103,554,232,425,227,355,509,328,195,203,432,449,828,
634,062,745,214,129,244,313,153,382,473,026,698,585,226,163,123,994,184,233,
971,596,455,718,890,599,378,092,983,403,041,281,401,319,398,659,486,882,178,
016,992,948,630,017,471,771,762,988,083,059,464,137,917,883,471,381,578,043,
670,741,612,420,479,883,118,127,850,318,541,632,974,301,547,747,677,848,553,
746,199,341,168,680,618,867,149,454,181,561,198,724,707,133,602,321,488,742,
826,787,662,701,637,000,368,530,598,331,287,028,148,407,197,392,650,332,908,
829,248,098,807,898,471,781,840,445,815,405,178,561,835,216,632,085,915,069,
491,822,940,171,714,871,641,311,557,998,920,469,496,355,063,177,413,857,090,
857,694,052,932,951,815,377,829,061,484,947,767,426,107,548,644,497,510,611,
953,945,967,479,718,416,363,444,139,345,289,671,419,916,629,538,864,481,955,
594,174,370,198,345,342,879,630,817,738,001,324,964,498,379,836,698,814,572,
702,180,434,467,986,051,486,187,888,820,669,720,404,820,381,537,378,716,281,
039,153,970,003,753,910,056,971,482,839,251,899,622,053,950,755,413,291,206,
120,971,221,222,438,738,293,733,427,188,658,110,044,492,703,414,857,303,977,
432,460,945,464,122,439,031,353,777,274,832,353,216,081,261,777,539,289,544,
236,846,364,526,719,821,175,544,710,466,452,485,255,910,352,511,762,821,917,
865,248,949,641,495,866,153,015,277,096,629,682,514,487,260,004,659,479,087,
806,217,525,834,481,927,980,562,845,693,856,016,679,294,016,029,555,317,448,
542,360,915,214,995,280,110,737,072,325,167,979,237,894,663,361,605,557,973,
474,954,424,637,243,325,640,416,901,717,697,469,990,760,730,599,704,897,816,
798,839,768,655,901,095,709,048,723,897,326,585,534,460,290,869,558,276,589,
189,795,211,404,076,257,882,598,379,352,218,501,403,703,647,220,959,999,377,
047,956,119,847,442,123,514,678,662,232,029,536,126,590,190,920,467,152,630,
892,392,410,682,809,184,255,984,045,100,389,969,559,066,591,691,711,315,825,
826,439,087,508,799,252,439,252,162,602,588,459,075,530,880,533,799,639,261,
654,212,387,421,529,441,579,496,118,017,401,286,033,350,254,436,597,381,322,
161,692,103,781,238,333,010,701,753,687,585,989,090,145,787,944,778,116,650,
826,444,893,630,097,867,053,712,625,806,880,481,205,075,344,203,308,399,319,
909,844,799,218,610,893,895,439,212,562,856,271,812,333,534,808,913,380,469,
152,848,070,950,804,071,497,103,628,380,040,815,363,731,974,272,868,510,278,
241,160,583,943,188,175,520,092,831,517,640,450,070,724,227,090,743,151,059,
996,083,085,750,566,455,606,765,429,690,896,497,014,656,571,405,661,203,751,
103,802,173,634,372,851,592,889,894,500,238,526,130,259,321,783,149,572,678,
555,847,177,472,566,466,333,055,881,385,747,151,982,955,828,799,235,959,093,
757,643,355,638,111,310,092,404,679,052,745,912,857,946,216,878,173,775,195,
799,299,665,649,268,742,905,187,632,633,793,840,362,263,517,460,831,311,529,
571,688,225,996,302,258,688,671,774,190,234,538,859,835,694,787,623,514,510,
803,750,498,986,706,920,129,421,469,155,286,346,920,836,961,664,894,462,767,
829,552,356,910,065,745,148,123,199,343,105,795,419,019,966,067,475,401,779,
534,260,751,209,348,711,109,955,216,798,382,776,184,273,719,602,330,688,077,
705,020,552,046,709,918,441,325,424,265,159,211,039,757,995,861,370,243,707,
676,375,679,212,451,937,756,099,191,515,397,535,661,220,903,442,524,583,254,
795,666,580,743,975,747,660,913,465,472,362,349,090,340,969,906,528,160,626,
974,963,945,195,253,824,670,380,751,832,127,577,284,115,577,149,086,771,259,
338,547,083,086,659,424,569,726,189,760,014,739,068,849,834,814,041,155,743,
182,007,258,383,119,445,433,888,379,890,050,450,633,363,492,170,682,242,655,
917,586,699,329,847,135,562,049,090,805,839,943,005,553,712,213,774,752,837,
038,046,614,644,610,777,180,356,852,513,071,090,785,613,503,898,270,670,095,
404,549,408,293,529,233,639,391,698,067,295,021,147,784,920,409,158,799,279,
445,145,745,748,492,524,053,285,328,188,918,641,155,499,943,290,128,272,136,
795,851,559,326,257,333,985,153,213,097,784,453,133,082,467,718,428,158,972,
920,572,121,516,622,183,538,787,453,476,843,143,467,306,049,076,524,409,494,
051,238,580,981,618,566,991,848,079,805,755,815,522,806,833,150,632,168,824,
821,947,631,706,874,064,840,160,251,516,732,473,620,082,679,186,799,795,520,
018,423,373,214,693,615,326,624,686,314,093,152,693,039,020,447,770,775,428,
591,165,765,588,563,226,974,247,059,424,945,633,435,404,470,764,490,200,735,
868,701,078,634,714,450,228,955,557,583,880,405,968,824,087,194,846,377,306,
892,816,916,119,085,430,609,064,584,511,943,315,163,622,418,157,916,211,301,
701,243,829,269,588,225,785,357,277,123,095,364,570,179,212,411,800,169,358,
716,144,077,924,096,009,216,551,861,078,629,039,194,673,552,240,143,453,741,
687,486,796,414,408,268,136,662,667,210,941,620,150,707,180,509,073,766,308,
522,043,959,808,481,801,473,468,196,342,154,697,530,959,004,682,701,488,231,
220,309,161,350,360,384,736,854,232,896,305,357,708,282,077,573,156,598,457,
046,078,883,426,979,278,277,192,235,209,210,585,543,583,818,473,449,927,212,
068,393,139,086,635,349,599,310,293,857,027,913,951,623,786,822,728,897,979,
099,147,359,362,576,426,880,373,196,361,523,345,925,162,989,619,338,610,969,
234,498,750,185,327,976,028,376,146,697,690,409,687,817,462,432,542,830,064,
295,834,905,256,536,751,159,785,755,222,837,770,508,587,306,527,742,239,618,
990,234,588,889,818,581,405,585,088,902,167,507,698,368,214,837,414,778,049,
928,731,528,393,273,160,892,766,986,908,311,818,714,192,845,954,065,325,171,
884,619,758,692,240,000,340,503,798,679,881,315,749,643,643,315,996,787,542,
007,411,177,471,641,256,749,143,514,848,656,055,962,121,471,097,779,951,370,
729,339,772,189,225,282,778,610,788,638,536,307,004,209,033,082,146,458,687,
611,784,226,677,816,863,798,909,258,028,373,133,043,670,296,085,902,480,334,
285,511,198,852,788,505,002,033,317,099,230,263,207,059,528,726,983,449,754,
302,826,012,087,876,297,827,571,764,178,833,037,707,530,018,146,183,265,402,
297,540,329,014,620,292,093,245,436,244,447,365,337,548,831,311,667,069,419,
776,563,542,968,643,504,602,225,447,605,780,490,327,383,510,571,980,890,050,
865,196,604,359,447,166,062,319,614,091,798,087,476,807,372,560,553,398,707,
973,566,903,627,250,894,222,388,422,406,649,205,909,777,093,237,790,519,742,
083,872,384,124,614,746,198,256,167,965,862,004,394,493,689,836,267,443,048,
369,961,727,946,533,454,697,449,380,166,974,795,915,903,596,375,332,600,346,
858,018,461,506,874,042,359,216,076,420,470,810,957,966,611,824,093,260,865,
630,817,636,432,546,402,341,852,041,489,129,495,230,796,739,420,244,051,439,
468,434,791,232,734,744,136,911,101,748,301,822,248,002,040,707,302,297,391,
587,354,308,477,279,547,560,183,033,458,704,178,524,546,979,662,006,082,673,
707,978,848,454,796,801,384,660,873,926,556,815,398,741,200,736,881,290,983,
315,828,898,526,714,553,065,829,449,340,643,308,237,070,957,378,036,677,914,
800,028,849,405,389,506,252,952,891,508,388,810,762,215,918,583,646,084,449,
340,943,341,756,214,115,195,014,755,832,058,170,390,343,235,351,711,093,097,
356,852,498,740,351,532,566,208,931,454,024,615,957,461,591,790,860,061,616,
586,708,782,550,656,866,437,278,555,236,198,002,862,218,281,344,536,259,335,
145,167,942,621,624,810,546,269,811,475,312,693,836,679,155,343,775,766,028,
757,197,886,215,254,478,118,580,710,546,726,978,253,389,261,457,947,210,119,
162,803,079,854,084,395,831,645,864,785,127,892,655,940,734,666,570,535,025,
541,706,331,928,332,292,159,118,253,392,012,815,504,370,211,180,185,274,331,
580,644,293,499,046,727,775,946,748,652,957,053,541,702,706,653,659,250,738,
993,034,239,546,923,559,662,880,781,310,084,244,491,396,281,612,381,627,284,
305,324,617,625,591,758,341,439,978,901,398,552,857,585,283,156,784,679,846,
527,302,455,431,244,840,891,473,242,634,555,860,969,036,632,725,245,603,769,
906,369,577,616,628,246,474,778,731,728,000,918,343,757,501,132,956,481,439,
076,637,718,641,895,771,575,019,611,857,378,469,127,740,238,446,557,353,099,
652,852,062,227,311,960,472,670,055,078,435,729,733,377,714,916,282,765,202,
309,689,440,682,044,805,395,209,825,701,436,899,398,323,434,519,173,431,821,
761,096,263,640,757,961,904,292,026,507,350,408,623,394,597,005,008,769,308,
559,740,809,121,288,651,079,901,141,159,702,757,757,643,271,298,817,217,501,
876,395,672,335,997,993,748,567,650,093,418,202,069,646,663,082,391,793,471,
623,477,432,861,672,079,079,131,549,051,964,527,639,022,177,632,924,309,198,
574,251,814,432,418,866,653,454,575,737,470,415,913,527,067,388,503,214,045,
389,066,776,913,105,205,278,913,660,326,981,511,710,725,996,852,004,303,341,
481,642,555,994,749,113,804,668,530,337,305,947,171,592,419,446,116,165,067,
699,293,728,643,232,567,783,814,892,797,634,808,598,811,742,844,129,180,328,
978,726,824,039,168,914,514,308,885,131,672,597,184,156,672,225,032,850,328,
620,971,823,900,122,080,856,274,295,858,134,084,108,016,810,317,945,358,717,
755,184,499,344,240,829,177,026,163,182,436,595,779,150,926,401,626,495,811,
410,236,153,755,135,981,346,603,767,244,572,599,518,921,676,383,497,055,588,
219,377,282,672,831,087,258,173,861,540,700,399,757,468,568,348,909,050,119,
607,714,416,136,053,772,247,649,635,471,456,993,900,209,126,308,891,527,769,
094,473,960,291,477,363,032,158,867,322,506,804,517,154,705,272,285,188,674,
984,504,968,541,333,617,536,819,094,495,634,818,345,404,787,071,599,312,601,
323,847,255,555,478,550,143,187,514,683,917,316,652,844,984,034,021,606,560,
692,232,111,475,531,273,796,895,883,612,030,866,907,309,096,341,783,126,008,
124,308,515,034,657,941,932,047,918,464,974,380,954,228,183,226,249,355,744,
802,921,537,957,489,501,276,463,056,878,758,459,811,161,555,050,940,526,904,
382,734,809,331,904,396,404,368,483,807,176,674,122,075,012,695,091,847,250,
013,312,891,586,927,501,030,807,470,922,582,805,343,184,266,391,874,036,144,
470,011,514,036,874,643,276,968,301,974,754,412,996,843,054,947,606,055,968,
252,618,456,074,017,766,969,505,899,739,968,480,495,207,038,914,931,857,106,
463,543,664,032,520,686,436,733,955,242,046,874,913,566,745,715,080,635,626,
901,464,838,583,546,484,915,356,922,133,648,656,687,522,157,851,481,314,345,
308,457,279,370,946,222,818,852,939,445,426,829,951,203,015,969,079,271,229,
132,025,387,287,207,302,284,419,223,947,502,850,774,472,634,935,819,817,374,
694,594,862,761,454,429,360,466,983,497,873,897,163,346,371,465,535,848,247,
700,193,788,754,153,328,220,481,919,890,955,959,651,190,156,140,766,883,525,
789,189,133,224,763,323,799,007,988,536,389,383,672,126,329,022,366,961,467,
254,082,692,121,280,786,163,613,343,367,279,443,485,481,907,467,530,000,212,
360,284,469,245,101,695,533,010,762,407,195,262,126,416,594,813,527,972,394,
133,844,218,054,805,320,088,830,407,494,824,668,696,527,039,986,974,570,038,
247,035,485,963,382,205,598,453,471,326,781,639,196,096,313,956,908,272,475,
575,860,704,310,664,434,748,529,866,037,255,713,349,065,881,493,432,415,678,
113,734,251,763,255,487,195,631,866,604,656,814,994,030,648,601,782,391,434,
711,740,061,636,673,785,856,409,604,847,311,336,413,292,955,193,311,542,886,
385,906,594,408,858,147,194,515,358,866,031,840,018,357,929,840,951,003,727,
971,067,754,456,325,053,712,302,564,086,439,631,422,995,260,864,461,833,298,
143,312,400,637,994,440,277,577,365,534,524,016,458,121,561,366,002,620,645,
682,250,758,140,908,444,878,087,167,231,910,976,469,027,828,676,248,635,110,
975,398,575,206,396,628,737,933,669,621,463,883,019,665,430,969,745,286,401,
691,442,265,027,573,160,583,206,404,477,612,368,969,418,408,704,589,863,020,
276,318,555,025,146,895,929,458,764,991,150,776,541,779,671,475,238,284,458,
782,047,475,640,275,844,295,328,891,426,087,485,329,903,094,663,796,236,987,
526,268,172,419,904,917,703,081,513,987,955,279,106,134,072,219,116,264,382,
148,982,381,360,832,516,972,622,944,882,820,216,509,238,977,530,979,659,632,
022,902,032,204,637,391,223,082,910,946,509,735,852,150,018,295,915,241,575,
695,462,313,429,524,069,104,116,014,955,943,751,655,081,337,831,296,392,820,
114,925,894,017,520,334,805,190,591,160,540,345,120,718,623,202,937,033,741,
703,341,929,970,736,679,674,606,842,206,889,793,589,868,795,686,084,569,541,
274,737,991,981,128,435,343,174,087,230,392,460,030,070,221,392,983,374,716,
659,095,267,239,659,359,396,962,068,170,776,939,210,816,529,177,267,367,670,
035,337,523,612,687,102,705,644,059,196,004,505,953,429,292,873,805,026,579,
247,204,847,867,491,304,626,171,978,971,488,281,166,172,083,092,527,531,912,
637,877,441,628,120,181,626,416,441,540,691,689,141,359,128,202,720,678,221,
410,785,013,489,061,761,750,099,609,601,419,966,672,712,585,929,034,021,187,
906,245,303,515,390,238,920,103,511,405,652,223,053,036,081,871,915,991,137,
083,728,712,646,270,893,050,406,315,009,937,851,001,636,349,060,566,316,154,
444,432,139,943,233,008,527,198,068,163,125,949,725,392,240,093,813,448,073,
494,343,893,380,921,311,960,397,902,894,414,555,626,254,987,161,533,565,015,
122,510,183,731,581,519,373,405,762,527,089,263,894,975,554,881,661,763,353,
996,882,842,653,293,449,822,185,989,818,120,675,372,220,724,805,282,605,936,
555,452,550,980,071,660,014,746,141,804,878,983,149,346,452,577,990,434,957,
911,608,763,442,851,098,222,913,187,247,173,743,403,654,932,787,815,017,081,
571,526,522,080,180,721,591,914,584,122,309,384,225,987,919,861,227,427,005,
720,432,441,511,601,012,943,449,043,516,296,244,995,445,822,978,481,574,672,
526,458,305,427,481,918,594,280,958,732,588,982,103,694,091,445,509,670,687,
250,042,573,904,951,558,685,388,280,919,563,985,598,242,912,072,291,988,644,
097,581,297,220,089,315,632,566,929,061,761,637,112,514,702,897,023,045,264,
679,958,261,436,732,268,422,145,860,190,428,330,944,651,646,455,631,740,120,
146,185,806,413,954,068,911,112,756,801,409,971,320,455,919,309,852,697,338,
321,502,533,885,604,475,846,159,734,237,545,847,996,927,682,349,706,759,984,
900,244,230,598,693,997,339,708,027,007,954,581,295,775,101,672,974,043,153,
843,838,296,912,604,164,381,703,495,055,245,434,098,333,429,633,466,131,455,
749,982,701,774,169,962,213,611,963,058,111,935,062,734,781,916,284,873,582,
875,576,657,242,105,914,514,039,280,792,176,638,920,528,246,753,489,964,192,
579,841,162,748,884,279,522,713,897,644,989,133,662,950,922,171,859,384,219,
614,273,998,876,885,714,342,142,233,692,632,303,454,071,833,018,547,736,704,
455,114,003,670,926,747,819,370,519,453,052,170,826,671,603,387,124,830,944,
695,401,248,476,601,302,048,954,623,819,449,813,226,709,684,133,263,327,340,
137,121,279,791,004,727,105,307,058,971,129,108,101,628,750,405,821,325,140,
834,996,985,388,625,655,476,882,569,134,416,867,532,655,752,984,945,438,964,
878,008,495,759,289,979,137,056,498,400,782,019,902,823,181,916,562,384,396,
983,583,725,639,150,443,377,536,989,126,716,989,392,889,346,975,626,591,811,
331,623,306,779,750,375,441,889,769,123,546,025,284,934,717,825,242,739,497,
936,531,018,172,713,904,030,789,912,442,171,954,860,187,081,251,515,219,246,
524,648,028,471,626,908,587,166,291,474,979,037,662,782,922,208,866,138,369,
890,454,169,544,495,063,007,870,361,137,079,574,720,649,529,054,550,892,616,
511,024,192,398,610,113,612,739,581,845,956,506,459,085,707,971,557,625,568,
618,196,472,990,955,097,158,883,132,921,132,736,807,723,889,523,460,843,378,
164,119,916,755,893,388,290,809,412,756,237,268,983,174,384,210,225,211,214,
281,636,491,022,077,405,032,548,135,013,351,367,050,838,825,205,664,955,086,
026,717,534,465,503,775,560,894,008,459,732,185,933,752,433,974,728,763,082,
755,673,238,900,559,074,933,228,932,859,154,920,505,906,645,859,676,563,613,
779,487,938,060,130,622,786,053,416,828,789,176,349,828,783,075,921,076,312,
202,166,882,293,595,531,064,638,033,092,131,721,977,451,664,376,460,895,861,
213,572,643,144,371,510,095,489,877,285,042,705,092,524,417,510,323,150,588,
287,033,000,571,180,109,707,166,445,526,806,102,560,227,425,946,665,680,998,
228,055,391,233,243,271,888,998,454,785,189,068,619,020,790,755,640,339,088,
992,451,643,447,007,326,457,819,129,139,621,093,681,363,098,031,240,126,832,
218,503,983,536,468,377,193,629,702,893,759,890,238,538,875,962,909,741,666,
129,143,973,083,446,881,549,090,519,195,526,641,447,060,910,157,396,532,029,
449,436,659,645,570,215,259,649,653,105,125,607,854,623,396,940,579,325,886,
124,567,351,029,705,633,065,805,709,480,993,088,564,539,101,440,696,261,711,
773,234,978,038,669,099,477,220,271,292,049,882,096,390,385,237,552,030,730,
163,433,941,062,796,258,748,723,781,253,467,548,451,033,432,088,931,391,721,
699,224,348,139,900,612,161,036,816,290,005,296,862,796,163,731,968,017,388,
086,862,962,622,251,562,903,182,412,114,861,073,846,697,150,896,435,663,013,
525,385,750,202,860,956,773,705,093,611,074,573,191,355,439,331,881,335,096,
411,895,087,435,161,757,472,050,441,371,958,885,664,076,022,407,611,112,009,
440,090,529,444,356,960,352,113,479,564,799,180,848,851,771,630,176,160,842,
873,097,469,050,752,652,317,769,984,256,541,830,751,598,664,942,610,579,507,
370,987,642,903,851,834,659,843,265,722,899,369,972,026,428,869,412,282,768,
948,904,107,101,051,491,500,888,594,720,458,216,164,005,266,845,409,063,094,
798,162,707,583,545,637,054,047,505,948,026,652,552,462,854,932,196,190,671,
375,406,972,530,991,409,882,977,210,359,302,672,159,617,017,594,367,927,408,
429,349,518,000,429,720,822,107,816,317,453,793,280,408,754,269,390,224,168,
929,553,912,161,904,124,053,418,407,448,465,164,944,394,883,223,229,307,037,
460,072,641,386,774,735,990,486,952,756,806,882,228,121,547,699,768,489,983,
472,378,514,595,461,681,597,196,739,012,888,460,151,978,410,444,548,247,385,
582,732,089,806,470,244,398,669,349,833,828,724,576,389,865,113,227,827,145,
889,601,795,048,361,458,112,277,883,628,460,109,240,841,861,761,596,024,561,
924,117,976,014,643,713,901,079,040,773,137,521,137,676,111,764,299,242,731,
615,775,086,991,304,676,457,309,798,982,337,259,716,474,548,993,624,934,359,
714,798,646,702,780,589,606,988,007,583,666,157,060,714,088,296,155,021,193,
502,162,151,959,907,673,559,656,210,295,431,478,688,390,322,706,356,535,074,
805,847,677,324,365,577,413,827,128,047,799,441,008,702,720,651,823,052,168,
606,513,698,080,945,715,813,275,828,405,237,437,458,964,941,787,584,659,183,
600,854,403,576,522,188,968,134,426,367,034,440,321,610,377,007,395,623,444,
445,390,633,002,880,336,564,933,385,801,702,806,909,867,884,760,036,007,855,
162,075,544,809,352,321,131,973,550,873,296,684,431,820,637,110,029,810,898,
077,598,427,674,102,918,193,398,906,423,423,442,092,438,441,099,100,599,134,
998,834,087,685,369,808,718,121,909,257,980,669,613,462,923,670,991,278,830,
566,754,144,557,045,834,164,850,440,166,362,409,792,131,417,791,677,212,683,
859,144,027,546,403,008,949,445,728,256,298,023,284,035,518,288,314,035,880,
283,413,128,098,303,605,980,699,376,013,530,042,976,436,718,415,818,866,660,
222,739,846,277,829,648,496,791,025,022,252,447,299,656,995,462,603,644,353,
380,354,356,591,244,999,778,645,515,153,786,452,944,640,181,234,430,966,524,
456,363,801,627,301,562,234,556,452,520,165,843,408,603,825,997,754,615,113,
803,185,186,101,370,143,388,238,253,855,553,116,476,972,658,338,109,026,487,
773,748,295,357,416,006,963,309,888,564,040,713,111,195,440,781,574,575,089,
276,054,468,249,234,484,243,652,945,054,833,033,761,495,885,728,860,512,208,
818,440,470,777,952,636,725,005,166,186,886,927,459,126,898,674,041,833,846,
620,755,423,025,737,976,877,450,366,354,418,812,364,347,266,698,914,094,656,
931,113,096,631,254,115,717,386,434,108,282,966,817,811,504,894,699,228,253,
421,094,422,569,991,965,236,309,318,682,399,223,529,161,100,783,546,859,106,
960,001,926,131,374,622,814,143,550,974,680,955,231,547,469,101,333,851,485,
085,368,166,816,386,283,028,046,281,938,156,450,914,935,643,039,270,160,134,
336,634,939,564,301,192,065,575,491,984,271,459,911,468,131,830,761,843,150,
800,008,919,852,835,955,721,539,777,993,826,815,385,443,322,670,390,271,906,
312,069,669,987,837,237,741,655,400,473,882,946,549,016,326,436,353,941,071,
314,502,310,372,589,129,976,484,912,224,586,891,375,850,038,443,588,958,033,
423,087,764,356,555,030,886,023,864,424,253,150,779,855,978,010,785,636,185,
541,859,095,479,308,484,631,064,126,694,859,382,822,229,014,422,050,541,399,
976,985,842,597,325,978,859,580,019,787,607,026,807,536,660,466,474,115,378,
683,508,588,733,600,118,727,724,610,485,614,734,720,307,149,324,019,130,125,
517,619,462,811,314,316,169,860,076,389,731,555,259,365,335,799,653,843,399,
624,303,826,982,495,986,460,648,750,488,972,265,137,191,551,869,963,411,868,
063,980,229,238,511,944,952,747,005,111,820,179,448,886,858,061,919,495,325,
846,117,299,730,056,242,555,905,398,781,222,455,391,559,348,963,850,383,514,
955,521,496,125,726,274,445,515,552,456,272,064,651,389,012,081,034,820,237,
512,763,727,395,646,733,637,965,043,332,139,172,118,742,148,243,521,900,970,
881,606,109,194,251,456,861,307,923,315,794,360,533,753,976,665,238,264,216,
805,848,877,716,912,941,675,514,518,689,412,918,881,492,311,333,762,701,268,
645,757,417,811,540,779,864,974,213,012,632,235,307,161,369,982,950,485,624,
297,806,040,899,521,075,848,016,822,138,130,141,187,390,461,352,390,507,292,
521,958,049,730,062,298,476,489,103,060,281,216,103,730,775,760,963,595,992,
752,000,304,799,967,470,054,509,205,692,374,818,355,592,836,341,720,387,386,
548,009,023,295,847,969,834,850,693,785,809,962,096,536,153,164,767,797,222,
636,786,449,982,172,328,022,630,151,861,679,072,829,310,262,733,370,091,442,
989,544,141,351,359,551,793,673,597,540,007,354,109,378,055,064,172,129,973,
681,134,960,796,091,406,506,958,141,633,982,436,234,957,028,266,399,973,999,
487,801,253,929,660,387,461,322,989,710,396,066,047,408,642,700,730,400,309,
797,441,000,714,570,138,750,413,966,697,316,510,288,246,550,674,221,732,743,
648,332,643,580,753,875,451,911,557,128,337,894,316,303,244,605,168,491,063,
710,509,959,826,297,450,590,633,944,536,083,793,514,895,612,528,337,407,961,
457,581,454,024,264,349,683,261,410,881,836,023,232,551,203,420,434,034,255,
689,006,874,219,118,778,623,750,443,123,357,079,183,321,912,625,111,622,233,
927,513,600,719,732,090,840,872,680,987,130,995,762,116,028,817,722,775,881,
893,017,942,015,499,553,758,471,442,599,592,423,044,720,089,964,508,917,861,
267,721,783,302,485,520,393,325,029,706,366,407,262,080,724,416,911,442,565,
980,036,781,048,937,648,502,800,310,805,746,402,543,650,458,357,257,097,923,
902,069,725,366,344,274,039,797,771,319,005,662,338,596,893,284,838,058,637,
643,447,274,041,926,123,122,321,260,938,275,432,179,110,035,198,555,139,321,
835,179,020,162,293,042,440,713,948,159,744,582,994,299,683,076,909,833,389,
770,083,752,712,163,483,569,245,732,638,088,755,336,606,194,026,954,618,033,
187,233,887,313,822,217,253,117,276,643,008,518,902,115,345,106,580,133,094,
977,603,103,393,375,762,087,958,438,242,985,143,702,483,080,656,999,501,512,
213,519,634,477,204,412,641,488,863,132,838,666,618,636,938,345,914,548,664,
540,031,448,645,470,131,896,702,142,889,661,793,846,351,815,091,960,386,585,
592,202,741,130,599,202,984,582,580,903,325,305,374,019,741,047,259,141,227,
978,769,569,685,284,828,277,182,139,430,790,978,431,157,918,251,853,001,117,
274,665,373,268,336,899,342,027,855,297,651,762,892,711,679,377,174,696,506,
545,881,869,812,448,371,300,887,822,651,380,594,488,484,100,748,168,215,574,
078,132,227,600,651,899,573,840,571,545,489,280,492,029,114,354,481,210,408,
064,884,153,798,458,112,479,691,356,795,731,700,669,121,436,188,153,961,225,
032,966,151,708,624,681,922,914,928,167,669,884,316,034,235,833,550,637,382,
950,106,800,671,226,455,767,651,422,872,761,089,512,505,576,792,416,245,178,
668,751,234,272,864,968,858,084,574,593,793,359,603,203,050,160,866,308,379,
548,949,164,726,746,391,261,957,660,460,091,607,912,153,046,440,193,957,801,
308,661,693,241,101,366,822,989,000,945,182,198,195,942,464,244,959,122,781,
089,267,976,644,774,042,134,490,588,591,403,459,899,410,256,489,093,358,562,
801,011,482,265,608,006,911,355,397,805,873,683,118,501,133,906,907,880,523,
533,399,378,643,181,927,357,708,088,223,449,468,529,149,042,123,466,489,207,
748,278,897,071,996,075,960,108,671,024,074,185,737,921,926,203,831,374,031,
736,821,152,166,762,257,226,142,994,808,761,046,739,433,168,129,339,161,532,
864,465,297,791,498,483,089,783,963,846,155,014,009,427,334,255,153,052,983,
259,917,987,390,023,460,134,649,962,831,773,519,230,001,616,390,627,702,061,
604,020,425,652,814,976,491,184,047,001,244,203,339,313,630,928,240,539,013,
312,788,963,206,738,000,612,665,749,069,747,005,077,268,898,577,166,273,465,
676,470,482,445,228,756,391,621,421,289,656,228,253,098,296,766,243,440,487,
576,206,659,494,357,477,991,916,805,217,254,866,237,346,297,036,448,707,203,
476,998,541,092,060,283,936,747,259,118,255,130,022,729,477,636,310,915,772,
066,905,397,594,708,988,006,340,981,443,944,486,693,524,112,094,859,874,731,
704,407,280,013,548,588,825,726,238,384,796,434,272,576,052,409,212,464,054,
550,276,893,402,359,147,088,147,750,347,666,764,786,270,248,843,782,801,230,
478,925,450,717,524,212,605,850,933,517,097,506,807,374,802,118,108,151,883,
117,148,282,266,854,107,764,704,125,627,048,609,789,430,752,087,544,362,137,
182,530,602,461,357,194,357,811,113,562,916,954,893,608,362,254,725,345,582,
466,417,186,879,115,220,032,644,066,774,885,244,610,424,049,351,348,864,101,
402,879,788,064,882,643,646,155,542,336,913,766,598,748,084,892,299,074,756,
389,462,476,140,240,032,849,137,978,475,867,579,838,600,587,249,460,084,443,
054,272,437,921,344,279,289,456,393,252,369,961,010,753,349,590,449,002,108,
197,964,986,872,331,872,582,561,634,383,937,965,569,308,327,083,310,170,542,
137,661,837,397,961,896,567,009,346,275,684,708,178,739,431,838,745,908,719,
202,259,532,345,007,830,276,125,905,892,911,941,451,593,883,689,525,845,627,
230,925,312,685,574,039,593,609,583,303,265,771,289,239,594,953,036,878,990,
778,905,781,042,188,310,349,712,428,183,032,778,327,415,500,804,703,648,285,
912,939,129,408,423,428,066,992,622,437,098,180,373,139,853,647,094,537,065,
331,846,005,843,704,516,965,015,253,082,039,312,556,110,569,042,585,964,641,
660,270,795,104,874,417,820,925,579,303,743,341,818,109,376,787,648,389,762,
560,191,336,715,559,186,953,000,952,431,586,649,197,868,154,608,389,274,182,
905,214,690,057,286,995,850,689,269,669,615,942,759,044,692,968,921,412,524,
256,848,453,668,777,208,933,164,822,129,218,766,518,861,236,303,393,560,170,
097,486,089,311,157,133,950,035,121,606,267,299,612,835,536,749,503,754,154,
049,188,221,117,530,162,581,325,303,766,832,183,221,680,753,223,520,106,621,
742,804,112,157,134,853,329,767,591,493,551,855,035,850,281,964,907,885,977,
230,467,585,300,720,433,810,721,719,391,357,010,788,272,767,284,164,423,675,
347,729,495,354,161,821,379,745,186,028,163,998,271,338,393,759,258,649,445,
018,222,293,116,637,546,219,941,782,535,027,686,888,291,418,991,460,611,978,
625,779,273,488,875,433,103,691,535,257,373,792,063,732,892,316,205,058,802,
499,285,741,202,074,090,264,529,496,398,123,814,916,819,376,691,933,334,916,
133,737,244,661,281,477,353,675,280,066,138,664,824,287,314,440,133,174,238,
440,719,318,527,046,627,324,969,855,810,671,274,446,154,482,798,612,981,681,
517,490,017,395,393,185,130,001,899,367,373,630,997,882,346,796,569,297,717,
579,193,388,015,647,889,249,176,368,204,196,793,897,630,960,086,135,615,372,
171,636,181,275,355,801,585,784,878,669,935,488,621,483,272,995,713,390,557,
937,428,959,394,475,745,906,983,025,842,777,087,080,985,122,097,758,503,061,
926,160,492,163,900,768,431,148,643,683,522,723,203,599,516,657,671,768,001,
423,960,990,044,493,413,462,922,559,864,671,349,974,987,368,913,306,396,132,
509,542,101,347,259,299,011,056,934,736,675,085,098,838,913,876,680,009,501,
425,777,782,469,401,896,516,343,024,673,324,756,748,203,408,049,205,943,069,
364,945,711,796,035,853,035,067,398,503,703,774,058,194,143,620,371,844,507,
521,599,904,969,760,421,887,356,705,494,178,515,075,006,534,861,403,146,104,
653,115,877,791,785,980,893,851,755,424,956,353,567,987,007,160,814,709,206,
260,255,326,159,792,777,440,656,034,570,817,656,360,805,587,037,910,985,492,
514,201,075,456,093,888,237,826,274,837,529,331,729,186,773,381,873,607,969,
648,798,032,623,181,454,835,763,855,878,462,249,721,021,205,771,759,433,167,
485,214,330,607,493,607,730,327,165,035,671,344,443,521,099,679,399,536,496,
252,839,446,812,065,413,783,150,982,948,792,584,513,264,572,224,194,940,942,
602,065,475,221,414,240,822,057,347,232,727,336,041,841,668,618,171,183,843,
024,286,801,958,555,410,559,429,677,303,151,912,874,978,102,377,109,877,053,
441,894,837,613,223,787,576,695,923,659,723,101,203,723,089,708,403,910,543,
751,995,701,019,449,245,989,692,619,104,727,321,185,025,104,221,657,685,018,
795,879,399,804,042,676,934,633,350,567,902,427,050,092,100,498,844,432,562,
105,359,445,745,841,886,745,955,609,740,478,511,596,217,999,569,530,694,013,
892,542,904,525,553,561,125,891,573,614,140,691,140,528,219,463,159,103,876,
622,387,517,571,068,365,533,842,322,734,167,066,704,902,876,026,261,654,305,
749,903,337,149,306,404,473,480,968,914,687,376,468,349,388,888,383,985,257,
952,270,106,042,331,268,098,837,411,166,311,243,837,980,993,268,278,040,142,
942,832,465,700,113,680,413,217,611,435,807,366,093,580,518,532,125,896,771,
970,157,978,501,314,135,668,339,552,567,350,421,279,799,311,766,850,349,348,
442,411,999,346,149,317,313,900,346,038,610,108,832,607,613,604,087,710,687,
185,858,870,384,939,534,822,437,377,521,075,657,494,064,550,689,602,768,574,
478,437,767,653,429,680,641,183,123,238,024,845,835,130,010,793,790,885,615,
282,363,702,267,568,294,058,677,844,754,645,110,817,041,009,217,670,030,450,
349,969,065,173,909,381,870,206,427,390,703,741,036,794,758,843,252,795,432,
518,787,050,858,990,149,391,723,339,953,898,386,896,222,870,755,311,474,418,
934,852,003,062,934,308,639,406,725,407,294,673,983,185,309,501,234,306,630,
478,855,332,153,417,694,682,807,337,113,424,843,845,514,648,398,693,186,228,
804,899,273,323,472,852,658,071,880,402,609,004,047,347,717,693,428,204,448,
605,239,058,431,591,475,614,867,369,156,828,445,031,821,960,882,336,028,175,
691,800,037,540,811,276,283,387,908,089,678,549,813,626,664,871,105,878,218,
720,081,276,946,996,096,168,610,031,086,890,265,777,002,431,043,128,315,703,
351,206,106,637,876,574,513,071,199,270,504,820,411,590,384,229,926,087,007,
769,109,963,439,518,362,036,977,520,493,748,576,724,783,759,421,998,236,207,
132,426,392,646,320,527,743,378,169,645,674,931,647,183,766,661,629,994,788,
164,798,220,270,936,467,339,239,896,388,191,823,104,080,685,173,702,639,374,
063,459,019,906,489,116,959,408,808,149,049,111,029,451,827,357,463,847,043,
280,164,924,785,481,262,516,049,740,726,936,478,519,405,754,387,409,788,255,
715,089,297,206,598,460,336,738,968,665,987,705,931,718,979,559,692,153,669,
003,624,108,807,343,085,556,563,405,785,135,927,396,399,640,744,253,956,408,
059,923,924,405,440,740,335,667,284,361,079,251,452,429,011,849,962,915,203,
727,727,719,369,774,211,582,863,937,634,677,016,313,386,590,219,022,534,653,
549,583,689,621,411,111,532,187,751,533,436,231,077,674,434,466,649,820,277,
072,719,749,993,570,722,709,027,216,629,867,630,920,410,490,107,965,311,346,
707,094,711,435,980,633,698,658,797,179,379,938,981,462,581,652,469,292,273,
301,115,758,273,498,810,859,891,657,965,013,462,875,152,495,455,860,785,392,
752,020,625,726,651,895,035,326,281,337,492,629,824,853,026,324,773,589,313,
659,600,426,387,008,122,483,582,933,873,860,724,112,899,378,601,785,185,118,
486,346,794,335,593,577,865,635,151,749,214,553,469,204,507,473,557,118,375,
588,024,712,160,554,022,558,826,841,890,766,156,737,809,096,593,223,077,918,
800,537,438,314,597,343,867,232,386,551,916,318,338,240,101,301,788,624,929,
209,605,850,791,556,297,915,130,748,164,590,712,219,952,633,848,147,201,675,
341,014,081,698,752,377,207,500,669,008,254,298,205,760,510,129,201,309,709,
290,344,070,660,642,011,385,401,466,435,381,685,152,472,961,719,640,985,246,
253,196,963,041,768,313,047,538,934,081,582,667,185,767,555,701,041,267,707,
721,597,571,039,239,873,605,061,812,288,323,234,133,250,658,521,189,852,972,
830,206,198,452,487,327,113,144,844,509,934,870,012,985,874,998,661,529,000,
897,092,621,809,638,397,524,273,196,287,497,634,362,728,895,740,093,515,248,
186,386,983,757,663,880,793,565,128,066,614,243,923,991,034,322,281,264,708,
126,935,726,329,388,394,553,770,966,221,685,317,412,068,588,596,089,861,003,
595,281,477,435,812,381,632,702,623,865,744,124,573,807,252,988,439,901,790,
499,639,837,702,288,085,440,810,673,265,381,057,297,785,229,269,295,025,111,
774,305,196,623,793,694,990,828,504,700,348,475,971,703,481,521,575,792,917,
495,609,232,018,529,382,220,816,524,161,232,346,965,735,972,549,667,952,501,
643,423,442,103,243,527,972,731,849,171,311,930,101,015,906,457,793,701,446,
962,874,854,223,095,310,675,413,746,936,286,846,617,334,736,947,869,230,230,
397,461,190,861,815,816,870,450,404,728,860,803,790,705,957,566,786,448,248,
632,149,732,109,219,851,345,707,540,065,472,801,699,276,741,358,413,522,677,
315,714,462,064,594,993,577,782,899,230,893,004,697,923,134,737,745,342,115,
711,471,756,708,565,866,324,934,738,039,083,253,591,494,946,454,204,351,082,
885,510,228,507,948,579,701,593,224,810,024,947,427,227,198,867,075,023,537,
477,525,825,267,501,174,548,317,831,041,125,423,776,348,779,282,265,121,196,
604,317,993,783,655,821,650,202,236,382,521,056,244,789,897,215,490,060,227,
825,909,091,221,661,129,069,567,642,370,893,752,839,781,334,606,846,689,579,
855,503,915,387,985,518,833,556,017,539,278,461,328,284,795,672,841,515,897,
379,972,735,463,737,134,612,735,213,915,431,576,900,680,020,985,626,079,627,
269,395,094,644,809,689,926,284,040,202,772,040,004,092,281,721,759,069,017,
844,008,440,123,440,173,936,013,255,660,290,852,665,385,768,476,817,811,502,
182,262,438,165,071,118,637,848,562,933,789,309,479,914,368,518,318,380,427,
373,020,517,359,310,362,594,054,028,910,558,318,434,320,487,862,500,125,257,
050,632,485,093,831,950,558,556,848,075,142,916,132,371,709,725,440,253,472,
163,624,975,081,568,237,650,243,983,093,193,186,300,117,265,847,615,304,560,
164,864,078,786,471,838,228,213,031,382,425,365,683,868,922,052,645,051,806,
053,013,367,077,325,949,332,698,564,643,462,100,989,642,799,988,527,861,515,
062,891,393,359,400,532,405,365,449,361,647,587,292,958,326,910,479,309,882,
364,170,552,524,158,266,947,532,072,164,909,525,697,024,125,449,097,159,235,
605,858,570,343,342,260,598,658,088,559,914,052,725,766,976,810,187,862,226,
689,171,311,813,540,167,571,047,754,084,611,351,181,914,512,931,436,750,194,
810,910,204,306,059,289,565,537,647,738,951,159,086,304,862,996,557,116,618,
714,688,479,376,425,997,660,518,618,686,344,263,172,491,793,772,958,805,484,
584,297,640,075,060,775,289,751,309,574,699,728,536,120,460,925,431,102,614,
950,186,648,820,789,699,283,928,597,328,402,736,217,676,018,393,970,511,435,
738,544,293,513,651,593,779,184,973,818,110,691,783,271,236,603,360,228,687,
261,080,248,492,669,417,618,534,658,759,680,215,996,080,656,548,437,912,461,
919,119,294,456,894,998,393,903,344,412,007,301,858,889,764,112,280,246,452,
792,705,427,477,240,420,757,639,895,701,633,248,246,594,470,954,593,164,470,
827,735,499,396,446,903,982,504,211,311,113,454,027,412,101,438,557,452,935,
118,921,556,175,967,101,283,845,088,276,676,301,151,427,609,942,467,701,208,
819,272,564,745,909,396,414,380,815,356,251,145,833,288,161,863,583,480,217,
418,913,754,159,031,040,229,363,557,091,619,301,895,672,455,498,292,905,231,
675,885,881,856,488,743,140,409,860,027,173,272,744,695,924,801,502,160,290,
862,172,710,536,758,418,592,599,506,275,099,925,194,283,507,664,329,095,104,
453,258,119,700,834,744,718,968,065,986,713,700,949,498,739,058,809,303,757,
367,625,623,485,079,771,065,815,842,240,471,426,833,429,923,028,082,722,442,
002,870,479,734,764,504,872,303,393,116,736,021,972,820,202,872,385,349,500,
622,278,948,016,891,416,243,308,611,688,159,671,263,673,590,009,254,440,238,
484,498,181,572,702,251,280,515,000,847,635,063,405,008,308,476,184,487,280,
350,747,855,160,170,012,415,739,297,217,982,678,266,748,660,603,780,703,092,
175,748,335,738,995,261,667,442,452,311,188,163,463,449,467,436,984,832,379,
329,058,964,441,625,797,290,728,650,777,359,927,821,683,775,253,266,192,983,
245,812,707,297,185,531,245,453,635,964,995,457,656,911,471,031,550,881,422,
320,181,064,985,678,764,977,874,987,379,891,833,693,130,058,174,884,233,810,
514,684,618,706,883,759,846,884,594,989,732,460,977,851,365,129,132,679,370,
540,296,822,967,955,901,350,819,722,111,308,200,289,425,020,999,242,652,078,
060,159,603,023,861,121,493,859,141,995,396,929,012,791,820,772,579,115,326,
444,872,456,245,036,445,824,974,134,305,254,903,563,439,572,922,408,156,894,
231,655,085,791,794,842,320,756,538,097,511,372,536,609,536,206,384,485,657,
113,220,117,958,706,513,441,156,789,008,904,332,777,530,625,734,067,178,968,
398,641,239,423,120,252,763,042,174,751,862,731,228,690,778,297,858,733,117,
683,764,717,794,792,613,773,796,053,316,508,944,023,833,999,566,780,377,457,
719,332,354,133,815,154,147,524,964,737,320,959,442,003,595,731,902,956,697,
708,388,309,245,280,468,061,565,185,318,073,440,835,328,387,285,911,027,414,
699,725,316,239,190,374,750,884,095,910,424,732,611,171,685,417,414,080,723,
097,346,536,445,129,161,004,181,864,112,181,427,468,623,354,775,256,640,905,
060,900,520,259,428,857,299,931,233,156,831,833,695,035,778,978,049,629,141,
389,187,514,296,757,592,347,212,584,806,177,293,496,813,498,032,000,692,701,
157,793,188,315,872,671,990,257,786,023,792,002,806,743,365,541,642,838,889,
116,362,444,677,330,828,677,594,602,920,280,574,188,770,652,196,365,583,451,
549,299,439,636,862,756,836,301,297,444,897,728,922,322,655,049,645,539,660,
028,678,900,361,350,831,971,610,604,708,666,522,845,120,913,130,427,675,092,
638,523,661,400,456,784,813,918,160,838,802,487,449,962,470,308,567,961,927,
218,304,461,580,254,927,160,665,323,325,316,832,175,067,633,210,721,269,963,
100,723,681,107,216,231,181,455,412,878,874,180,098,963,264,383,820,837,204,
208,061,062,654,774,558,285,064,310,048,406,710,885,418,214,750,906,669,633,
494,584,974,974,348,147,086,292,547,708,384,124,688,212,364,914,787,369,246,
834,184,741,631,458,945,297,204,673,793,328,700,632,865,704,548,619,997,607,
250,852,817,783,949,393,054,920,871,833,530,813,540,208,256,794,061,941,982,
371,906,029,599,840,459,189,395,721,174,388,669,803,668,875,541,090,049,692,
987,468,982,316,790,882,230,783,421,424,041,794,689,128,115,712,479,780,365,
061,360,564,589,318,479,817,406,415,536,101,601,228,859,300,147,215,355,940,
099,932,763,722,539,285,873,633,221,656,648,316,112,834,823,354,930,184,687,
238,794,506,020,156,570,410,818,441,701,951,258,507,039,240,674,690,632,555,
613,940,368,397,095,107,964,034,764,086,773,114,134,964,320,195,629,999,714,
216,851,153,530,950,792,628,026,312,372,240,581,070,148,091,156,417,068,984,
445,618,730,782,718,268,477,838,322,885,634,144,291,929,692,865,229,988,774,
947,812,023,603,174,931,177,809,644,472,648,740,814,401,399,565,947,348,439,
838,781,835,590,580,141,499,198,176,229,302,399,776,954,413,787,896,873,390,
682,920,616,330,405,952,680,892,446,455,243,081,731,327,908,679,667,182,945,
394,078,343,811,262,693,645,191,059,507,112,929,560,773,565,288,681,324,350,
928,048,634,341,668,010,703,223,320,414,392,981,163,763,615,913,485,943,726,
694,258,585,203,069,155,017,502,013,634,596,029,260,246,223,207,958,535,306,
111,821,018,850,301,358,678,924,006,886,058,666,867,479,492,327,433,236,993,
746,942,221,301,557,970,589,421,992,218,804,009,834,000,471,620,292,093,288,
539,866,628,985,242,461,604,546,453,660,843,871,806,467,187,196,167,698,607,
769,308,061,637,877,549,446,703,641,971,597,539,520,384,381,780,887,146,616,
457,953,480,035,081,759,953,032,574,361,948,496,010,585,736,378,563,848,385,
158,745,888,257,653,304,249,693,181,043,105,091,528,612,374,823,771,123,739,
143,176,920,232,128,066,413,186,076,066,437,546,445,116,762,802,257,119,942,
146,425,017,691,147,396,318,545,572,476,379,192,079,442,362,193,015,068,535,
760,224,429,458,047,336,190,884,063,283,853,734,606,423,880,256,273,823,300,
431,106,638,307,742,524,343,505,950,643,242,291,914,374,810,759,052,944,767,
511,554,073,928,499,895,237,792,212,629,053,444,151,409,788,068,667,642,519,
077,628,277,373,102,472,250,034,726,558,824,232,916,144,779,132,706,640,847,
368,440,522,783,415,512,627,871,511,074,429,760,442,537,639,372,752,069,991,
671,335,673,255,694,431,768,335,475,115,565,556,209,629,729,475,689,856,121,
647,647,201,243,402,457,450,217,041,929,008,389,013,550,197,818,021,046,972,
406,717,398,247,924,580,877,126,976,387,166,924,797,795,873,652,368,160,156,
156,405,171,981,531,528,337,067,030,993,517,644,862,771,422,642,432,114,316,
739,608,053,587,776,608,196,975,872,186,434,377,601,720,788,580,452,580,284,
636,881,684,543,253,489,667,441,505,446,473,653,277,662,670,009,204,767,014,
086,706,448,332,601,945,903,964,708,446,746,905,302,798,452,334,162,447,643,
114,382,395,952,827,172,064,186,516,774,933,894,622,673,679,908,252,426,868,
497,250,542,701,577,972,033,399,765,354,572,821,767,046,939,160,689,453,293,
430,273,119,711,353,302,835,090,506,683,480,504,649,062,071,987,612,598,583,
556,739,895,697,825,338,318,307,976,239,277,139,235,349,895,172,551,136,346,
094,238,615,888,586,044,433,573,895,606,835,181,686,380,842,445,722,233,999,
212,155,529,690,442,312,763,207,010,875,478,751,342,114,542,380,874,496,022,
979,806,981,160,159,473,298,002,874,123,545,666,151,760,811,624,883,189,809,
310,252,168,484,705,179,027,669,181,178,134,400,670,717,870,249,179,960,601,
095,735,456,455,275,090,584,227,003,974,358,655,414,683,433,777,209,563,848,
318,976,635,615,928,341,872,967,417,973,687,919,135,435,413,148,454,248,967,
295,602,033,779,460,016,416,196,775,003,176,973,750,536,580,580,064,801,300,
442,403,577,677,362,115,520,752,677,016,191,007,439,465,268,831,798,461,944,
616,627,239,053,454,835,819,495,127,892,250,005,659,454,699,304,815,240,046,
960,448,310,312,862,462,650,170,441,216,463,529,787,066,027,118,603,209,735,
099,575,776,810,768,869,996,760,036,845,815,024,458,970,949,888,691,640,194,
175,563,898,460,123,047,568,458,969,854,066,030,433,640,482,813,792,375,534,
299,412,133,720,856,699,938,614,351,697,723,977,111,520,188,663,290,169,957,
037,256,243,721,313,034,140,242,845,823,799,787,964,466,477,843,010,343,944,
895,285,696,594,467,964,267,143,903,493,390,955,015,050,910,977,866,498,735,
259,360,322,913,879,437,804,463,603,339,235,285,380,911,150,446,586,570,821,
033,097,223,120,651,198,688,822,796,070,884,735,621,447,313,512,997,672,915,
644,368,586,822,346,632,369,035,103,264,106,458,839,101,113,039,283,510,817,
813,160,128,546,631,680,880,077,556,280,694,362,499,355,658,067,602,144,687,
166,947,382,229,609,459,886,846,728,216,677,392,909,242,500,369,157,824,351,
178,597,734,842,462,161,826,229,460,580,252,535,403,020,288,124,179,211,049,
199,152,409,817,577,978,665,129,809,810,333,706,455,079,871,804,408,433,337,
204,941,430,004,723,537,701,266,534,285,392,464,296,253,976,341,055,241,195,
459,614,111,070,628,515,356,350,801,789,600,197,440,804,143,704,541,437,829,
715,433,832,754,347,533,442,668,024,976,331,152,043,133,499,316,145,364,348,
029,990,308,740,114,189,506,245,387,707,014,268,708,882,331,377,752,627,678,
133,276,308,151,475,203,725,527,684,592,721,936,400,387,841,666,989,671,116,
972,159,405,915,753,252,416,730,154,173,059,291,962,583,167,611,036,680,940,
900,458,541,038,040,895,495,197,580,076,575,136,907,469,008,391,485,474,513,
492,758,423,796,061,801,459,509,650,821,854,535,333,579,815,056,808,627,159,
299,070,798,432,051,003,147,731,251,351,901,769,517,205,141,239,132,559,094,
282,944,570,708,459,210,542,658,049,769,055,713,144,789,828,501,234,019,115,
109,391,952,828,152,027,131,442,226,361,578,168,112,825,582,372,566,284,289,
842,683,386,934,868,033,001,037,036,106,074,802,205,743,194,750,024,832,453,
482,803,167,035,079,937,892,441,978,219,870,608,782,299,506,223,515,279,049,
891,809,615,660,907,178,213,857,446,540,868,060,198,992,010,169,694,273,313,
395,025,358,035,591,353,783,610,942,554,473,558,508,050,441,035,244,145,257,
898,387,233,797,238,459,662,307,651,159,284,547,837,741,260,528,183,320,827,
025,914,684,031,726,427,416,111,145,662,526,634,285,918,278,048,611,197,506,
812,937,990,231,140,023,996,321,228,828,301,497,441,771,597,276,662,361,302,
480,203,848,904,905,645,299,731,181,127,497,759,460,858,525,215,530,066,242,
592,614,491,951,050,086,296,274,746,053,650,329,140,283,584,834,172,186,151,
343,734,258,593,161,089,432,232,743,749,391,343,893,831,263,411,862,420,222,
442,064,803,918,001,851,972,942,861,128,130,713,456,434,687,530,637,400,158,
926,168,855,250,811,065,694,473,784,066,497,770,900,944,044,030,572,477,497,
483,126,094,408,691,545,363,403,569,867,287,920,936,450,267,553,708,339,508,
115,617,468,196,872,623,766,266,176,963,570,207,312,344,888,867,788,301,853,
192,250,214,472,354,866,781,068,608,619,894,285,782,750,013,312,548,046,610,
810,307,719,555,160,415,405,379,733,811,164,646,352,030,785,049,207,647,063,
449,444,305,083,298,846,310,492,201,924,138,736,769,552,569,371,724,678,687,
456,455,135,349,623,711,193,887,222,362,758,927,255,458,261,906,466,756,109,
441,055,577,477,451,217,563,608,782,526,392,603,247,293,107,520,496,482,538,
481,386,103,741,664,992,045,743,056,286,511,054,062,066,189,092,811,314,748,
695,553,355,089,043,215,816,595,854,853,495,310,262,763,904,200,616,275,559,
648,366,614,701,722,610,974,483,985,718,202,117,700,182,733,993,862,737,935,
575,426,433,245,854,519,033,165,803,326,493,106,604,507,536,749,490,132,117,
931,831,652,169,475,682,418,711,071,408,497,389,678,314,219,490,438,338,275,
942,792,720,349,541,715,707,575,959,770,503,193,234,541,982,831,188,300,919,
321,518,074,096,307,507,734,231,686,870,073,831,241,749,218,693,520,816,381,
816,539,158,057,097,622,613,009,904,494,527,620,008,610,726,897,690,483,786,
266,927,088,851,916,741,414,971,110,341,487,664,296,198,642,692,564,090,368,
776,387,945,134,123,642,366,761,143,287,844,104,026,862,664,321,640,755,638,
672,959,947,755,420,496,997,641,362,697,916,000,263,238,746,353,125,718,083,
157,238,263,846,117,089,398,532,478,113,282,419,399,779,071,112,634,764,917,
509,742,782,265,755,178,717,113,013,550,408,318,436,764,586,346,228,908,607,
622,189,981,762,277,919,205,989,811,424,977,874,592,062,314,271,393,794,679,
332,366,847,278,090,517,079,667,763,908,728,804,532,949,991,667,583,075,045,
526,932,513,832,495,177,222,171,986,568,725,233,478,663,103,478,478,011,571,
593,716,876,699,779,488,309,232,876,938,380,888,934,063,992,246,069,536,123,
469,673,536,912,255,580,574,000,145,016,767,936,889,828,486,004,261,801,643,
701,044,942,724,989,675,022,609,280,972,606,549,351,681,314,563,460,803,326,
642,193,981,383,686,919,168,664,635,721,190,697,100,223,846,250,846,343,495,
650,892,863,162,156,827,082,470,964,057,212,668,888,548,413,640,760,506,430,
485,238,562,263,771,679,476,906,681,710,629,577,330,380,063,146,095,019,833,
333,632,933,006,786,157,148,763,939,929,252,337,657,122,115,647,853,038,925,
662,043,603,090,754,941,930,607,905,877,241,021,130,280,296,299,805,679,629,
648,508,686,109,138,541,309,026,409,573,783,985,944,796,729,408,393,024,119,
299,945,280,495,922,546,574,959,832,912,238,021,263,937,646,064,284,404,307,
998,316,589,518,969,794,480,977,557,913,862,727,768,891,224,341,986,003,275,
957,196,530,200,055,269,115,460,600,752,250,874,751,604,658,180,488,288,184,
377,688,402,759,998,813,063,500,334,163,990,551,201,785,804,661,076,950,487,
920,959,582,063,974,002,002,933,149,746,716,616,138,229,498,938,766,792,669,
995,854,369,649,877,971,643,230,862,175,900,972,327,717,470,438,635,065,438,
544,881,057,233,836,777,168,313,301,900,853,367,252,393,681,876,780,538,627,
116,315,677,634,038,960,375,824,594,522,054,436,816,711,151,641,240,432,411,
074,215,840,663,738,663,941,838,544,935,384,521,790,765,979,501,920,960,808,
717,359,898,793,359,058,187,072,477,403,366,305,779,454,917,945,485,180,850,
214,905,729,829,485,387,380,883,942,785,256,612,082,306,283,280,778,720,861,
514,221,824,757,803,252,268,887,295,973,497,124,298,473,364,359,223,371,317,
516,591,070,381,897,417,600,632,158,519,504,586,182,998,305,951,052,275,663,
489,055,387,016,999,064,931,727,256,984,393,574,440,448,407,016,196,194,369,
854,287,207,916,917,177,465,186,761,595,842,350,989,086,437,966,332,220,201,
141,425,738,339,665,090,133,335,784,375,443,812,654,367,546,136,425,478,313,
392,057,687,670,914,167,391,672,893,070,034,616,191,279,267,805,947,199,571,
810,385,380,339,477,873,808,408,990,499,162,627,408,649,933,711,545,787,332,
834,478,845,342,020,165,771,813,304,621,869,290,290,362,885,488,805,888,002,
970,658,873,032,751,774,847,525,924,879,790,411,560,980,947,678,098,345,752,
590,047,950,258,424,529,566,926,642,960,240,074,742,932,282,760,551,359,264,
583,494,389,531,948,360,934,493,307,968,291,992,641,782,094,451,315,346,670,
234,843,990,461,761,107,663,151,926,842,817,830,422,516,816,377,109,662,154,
325,160,517,887,693,328,488,785,197,422,405,571,083,409,260,176,860,126,141,
253,245,682,660,468,529,052,576,170,325,650,400,552,385,016,467,944,102,379,
127,346,427,121,955,355,564,029,255,764,887,106,313,711,871,119,146,676,914,
572,315,687,937,613,810,716,223,264,276,752,377,127,848,657,444,313,827,088,
643,826,341,759,921,541,114,712,717,553,693,340,404,443,172,014,312,781,692,
089,475,096,437,347,698,617,157,146,064,307,184,848,876,251,455,169,566,145,
277,436,609,497,163,032,223,888,355,090,018,233,952,087,046,637,477,492,676,
722,697,765,201,497,612,212,460,188,627,670,572,772,287,166,735,700,683,034,
734,585,586,111,915,445,395,121,086,808,086,650,870,017,076,377,674,268,601,
064,443,209,109,504,907,296,318,821,176,998,663,606,798,543,894,739,139,691,
526,106,350,640,479,676,507,485,992,035,459,406,456,321,514,391,253,958,260,
768,176,853,264,717,122,073,976,173,953,558,514,521,143,659,089,982,111,401,
170,035,993,081,015,390,020,286,230,726,309,778,880,887,788,483,217,875,443,
584,755,217,845,311,360,772,138,194,382,379,756,796,894,633,441,998,515,124,
411,640,492,776,230,209,773,032,005,210,370,130,065,095,079,676,886,564,741,
509,255,532,337,775,945,351,696,216,348,244,879,276,610,827,257,723,778,204,
128,477,189,959,396,932,015,891,259,092,886,444,815,852,425,536,759,072,187,
728,260,583,061,674,419,973,491,432,452,240,650,241,763,004,301,118,368,830,
421,510,495,269,833,415,866,234,631,277,286,424,939,583,874,611,504,780,019,
767,499,050,667,703,713,044,221,780,455,197,628,069,828,628,315,362,774,018,
528,679,645,161,206,726,840,900,839,910,206,887,994,547,896,026,463,201,702,
978,197,302,877,457,382,086,326,353,313,265,385,846,004,718,160,239,206,105,
216,708,473,075,348,285,170,830,972,023,494,477,327,975,926,638,707,860,899,
442,293,950,673,937,741,473,966,216,810,370,916,050,205,075,382,472,346,675,
529,848,798,435,074,395,286,784,739,320,937,667,565,909,152,502,927,674,041,
054,361,784,690,053,897,755,803,042,447,615,430,497,903,533,278,362,313,047,
381,755,986,006,374,301,395,141,076,982,798,423,023,585,610,425,113,349,803,
642,961,920,999,072,373,929,528,119,015,660,560,019,326,743,797,409,902,591,
501,557,162,270,196,484,399,353,190,874,952,689,034,379,103,396,499,624,570,
249,134,253,053,157,032,283,192,169,296,133,255,971,194,327,067,301,375,535,
163,070,682,095,469,859,738,955,818,674,866,573,015,320,212,856,021,834,212,
971,029,685,045,186,748,462,003,533,518,102,660,142,511,539,079,495,100,042,
460,102,004,047,769,646,688,683,563,681,874,838,526,617,140,971,102,151,350,
994,167,710,999,824,451,994,263,240,852,838,963,615,689,993,034,411,963,665,
988,980,444,322,339,311,487,071,193,993,961,160,922,381,392,290,960,439,792,
469,921,850,130,652,320,811,246,202,038,432,136,708,498,825,748,501,874,192,
023,479,676,600,120,689,235,585,246,650,207,652,046,444,974,966,094,530,834,
590,533,034,802,605,265,117,287,131,480,126,669,748,985,878,317,682,034,871,
527,373,365,166,360,245,988,188,741,872,197,118,042,878,539,202,446,224,472,
144,805,188,586,078,252,882,995,364,635,190,523,289,888,637,673,065,185,448,
991,397,411,165,047,479,809,167,148,641,285,385,155,703,359,779,597,936,390,
609,599,608,347,502,334,016,218,588,049,681,231,289,219,763,559,421,803,522,
088,099,810,441,842,394,839,154,185,891,705,590,694,882,150,522,429,350,105,
209,728,029,392,438,404,087,841,960,650,627,994,779,101,348,048,329,306,921,
040,344,450,749,709,114,063,030,695,508,460,765,011,621,360,749,734,428,724,
201,433,568,102,144,622,195,720,642,374,833,568,791,923,692,598,552,222,031,
930,055,796,341,227,329,930,176,159,034,385,320,091,133,722,183,358,814,556,
024,017,210,057,022,204,731,700,525,949,229,534,971,800,106,625,853,692,241,
078,971,038,875,057,843,298,588,018,478,170,877,471,513,945,425,346,872,182,
030,780,145,421,831,983,043,192,065,204,895,027,540,726,631,481,068,329,714,
480,744,684,654,324,621,291,166,829,096,751,908,908,601,373,993,550,310,496,
396,391,783,650,836,511,719,714,881,753,142,130,495,253,487,101,978,671,093,
754,901,041,403,195,366,266,139,832,392,361,056,767,192,484,933,997,418,743,
094,679,049,398,775,241,670,689,361,856,664,666,642,883,469,672,801,487,359,
506,739,971,248,486,739,248,769,729,421,404,905,489,596,338,262,526,048,606,
756,861,326,826,771,678,607,575,040,948,357,895,759,829,923,977,484,458,288,
871,220,018,135,195,641,945,639,960,734,178,952,313,197,080,690,099,462,771,
795,300,909,524,167,210,778,148,720,385,647,174,725,641,897,402,008,034,343,
977,971,932,000,645,158,575,465,401,084,520,652,822,162,745,711,826,368,029,
462,486,754,080,316,198,159,600,571,631,788,231,963,344,828,818,507,532,636,
104,072,290,633,195,698,262,650,043,664,350,670,431,396,365,566,914,616,739,
661,164,684,984,564,885,234,383,739,498,296,730,266,525,635,306,519,564,939,
500,077,076,095,660,500,424,380,679,761,976,396,731,128,597,197,680,169,553,
003,010,867,866,197,420,691,387,186,977,798,714,993,660,525,991,887,893,324,
769,505,876,601,185,675,613,989,483,929,125,721,791,377,452,798,952,073,881,
955,193,542,285,570,813,275,377,733,539,899,958,399,490,970,242,674,522,888,
978,788,569,108,914,459,079,256,009,807,033,176,449,024,058,165,293,911,170,
355,753,885,019,073,261,976,378,559,860,818,856,489,530,452,784,958,152,447,
168,922,218,842,436,860,907,648,671,995,607,051,098,204,514,816,270,114,618,
671,682,083,017,048,183,068,300,953,988,004,041,022,295,276,983,604,835,258,
971,000,989,721,947,374,595,317,277,020,806,210,186,673,124,369,247,783,115,
043,768,736,530,776,828,305,734,998,877,302,607,126,043,460,801,307,292,587,
751,519,371,236,961,824,898,904,125,914,945,879,921,750,512,866,242,293,195,
605,089,318,002,585,174,289,826,118,567,854,758,058,043,778,927,128,903,710,
360,465,542,343,716,036,166,454,558,700,059,993,813,870,244,281,671,749,221,
046,748,540,102,328,882,204,999,174,831,062,303,592,623,068,665,067,110,895,
734,106,307,857,106,528,343,125,517,819,326,833,417,426,937,706,519,146,443,
182,167,849,672,661,729,249,154,681,398,184,710,148,847,832,500,463,683,785,
665,845,332,827,087,630,319,006,555,267,265,203,882,390,654,281,713,533,607,
553,490,275,731,381,491,487,978,139,834,046,434,142,515,559,402,000,959,353,
075,896,242,065,625,651,744,544,538,500,212,435,696,775,161,239,941,221,714,
494,819,110,019,439,956,500,913,233,703,769,840,140,359,925,332,988,642,378,
154,421,172,023,059,257,068,273,265,241,096,054,666,098,966,468,907,253,493,
931,700,607,217,179,208,944,179,125,027,714,227,799,293,278,345,375,758,716,
369,983,701,266,392,719,529,201,926,774,177,374,555,413,080,529,287,616,501,
034,389,382,753,769,806,535,408,058,130,663,242,068,158,478,952,938,278,409,
212,628,133,132,529,363,472,068,336,044,394,246,905,729,822,416,944,246,725,
386,256,329,005,792,253,558,867,868,299,071,579,924,448,305,317,098,129,761,
650,399,412,895,853,430,231,653,920,430,512,275,747,627,095,550,966,207,908,
560,705,836,855,646,874,420,759,244,412,068,543,738,189,035,966,857,958,642,
064,229,159,402,305,417,293,129,504,027,986,928,306,839,403,099,520,705,461,
982,287,729,126,258,042,397,252,377,553,317,949,420,255,322,835,725,768,511,
475,357,705,123,494,656,533,823,203,945,822,372,595,471,818,690,878,285,026,
688,234,504,058,045,344,771,207,689,485,834,434,705,022,698,019,279,216,171,
546,285,887,721,300,009,374,883,886,507,316,865,306,674,232,996,564,378,370,
068,447,965,620,022,994,558,189,436,849,130,915,491,122,568,295,377,782,458,
054,595,581,482,983,838,658,677,276,462,170,155,945,239,940,432,667,222,219,
999,776,175,870,592,963,840,961,816,915,484,656,054,080,170,033,076,658,411,
673,511,073,697,539,531,564,742,317,901,647,325,986,016,594,839,429,338,444,
959,833,178,244,941,230,590,984,756,697,216,369,574,254,191,696,522,708,322,
194,884,246,084,164,035,933,597,629,312,281,407,832,684,498,316,228,938,191,
266,794,622,069,342,771,332,647,638,184,253,095,945,653,791,603,071,931,970,
155,169,848,235,157,466,042,837,454,298,003,008,111,543,720,480,597,173,065,
757,374,503,806,852,731,404,568,736,948,490,163,320,370,189,489,604,926,527,
659,058,617,520,998,727,352,978,122,633,388,522,749,720,984,362,258,223,665,
493,831,560,054,868,958,737,626,058,004,941,251,801,699,958,345,283,292,716,
382,002,094,538,321,624,907,545,931,567,835,913,789,192,145,995,467,219,882,
604,163,253,682,522,824,437,678,005,388,401,808,226,906,346,390,226,016,161,
593,654,453,694,976,672,223,393,307,987,844,169,810,462,682,436,554,067,228,
397,248,642,289,601,683,691,764,628,422,011,281,176,141,468,016,341,603,329,
498,610,168,693,443,205,522,160,347,165,973,348,561,524,392,163,477,649,169,
420,015,543,765,253,304,486,891,021,327,016,645,613,886,974,911,726,422,641,
562,041,247,082,652,135,283,089,161,024,291,739,823,754,126,914,719,766,210,
857,328,169,299,502,736,274,394,395,278,970,155,438,964,775,260,618,749,603,
120,058,358,506,742,115,277,252,161,933,218,788,035,493,258,648,807,085,137,
812,260,085,812,664,526,941,287,878,240,630,907,559,536,060,017,741,027,358,
440,110,212,188,173,238,712,596,794,105,879,050,260,072,592,775,657,227,827,
935,304,430,234,351,675,113,144,630,176,651,793,343,483,366,077,142,257,777,
671,523,212,214,241,080,093,411,096,353,203,934,260,863,566,630,557,943,816,
432,082,231,368,745,438,497,361,692,085,291,277,125,862,126,871,458,412,384,
911,988,760,373,102,266,456,636,080,719,954,264,319,080,116,076,440,225,613,
492,763,898,067,638,690,263,869,562,602,727,492,679,822,769,752,140,075,235,
791,892,100,660,528,709,435,311,374,309,213,457,119,356,907,482,062,434,553,
957,950,396,354,717,520,894,491,162,093,780,041,321,008,573,421,884,879,707,
428,584,346,100,867,741,045,926,833,335,001,741,979,336,937,939,364,779,637,
738,716,245,421,662,427,933,495,577,268,134,942,772,828,831,858,696,199,911,
188,132,996,261,628,348,273,702,739,612,604,692,916,684,048,089,074,009,230,
176,433,389,623,891,649,419,543,764,772,848,854,255,991,185,806,121,024,058,
248,151,429,006,411,852,477,192,871,429,542,445,475,506,689,392,357,025,663,
878,502,273,014,920,927,593,522,411,199,212,985,165,264,448,462,112,603,834,
198,193,249,118,847,776,098,712,571,019,694,750,689,563,042,946,733,181,455,
793,379,523,416,470,867,992,260,953,024,423,004,930,694,376,275,379,004,510,
784,989,935,501,829,282,720,553,942,983,379,329,455,576,177,775,097,690,779,
869,122,534,590,773,911,947,643,853,374,038,387,385,972,308,045,385,071,662,
701,753,434,750,156,548,321,328,013,098,336,243,189,633,926,966,357,336,146,
597,422,453,505,796,512,200,237,409,498,391,789,569,504,006,569,303,558,606,
665,285,952,403,422,780,023,782,224,720,818,493,439,856,866,631,796,924,388,
006,131,936,009,663,395,330,424,979,466,515,275,111,554,593,812,155,215,933,
846,275,510,569,093,484,340,788,505,099,997,295,098,300,863,380,081,904,151,
431,474,486,434,337,790,377,606,406,455,748,762,263,887,944,514,486,288,728,
608,565,806,956,254,431,577,343,289,497,713,204,048,856,617,775,436,419,118,
436,381,280,710,546,994,878,301,180,727,244,609,237,089,065,064,262,397,173,
289,143,569,742,498,159,917,219,243,811,683,573,876,859,743,379,035,022,783,
649,387,360,567,577,987,862,235,748,879,903,382,610,786,497,783,119,029,460,
752,197,910,268,739,432,448,337,378,127,055,550,577,614,335,419,862,493,968,
823,812,975,494,787,143,501,645,145,028,014,549,947,258,422,630,007,949,670,
063,499,622,819,107,761,752,424,372,124,875,732,130,340,524,448,808,955,144,
970,661,070,385,159,681,381,859,662,681,246,392,971,787,846,898,540,209,085,
563,410,727,971,822,561,060,115,352,089,030,625,969,230,338,843,414,214,369,
175,507,971,636,784,320,304,833,983,958,405,177,553,968,708,546,071,855,354,
680,508,720,510,462,680,713,926,226,467,803,754,988,872,879,606,858,634,753,
638,333,125,082,925,677,574,241,114,322,191,538,063,920,994,009,169,106,898,
093,600,020,628,209,910,696,126,649,070,684,969,825,791,132,100,398,409,573,
408,552,827,480,523,788,416,778,394,851,318,076,207,686,698,567,369,280,837,
581,919,206,407,332,618,910,613,428,938,608,768,651,126,051,366,237,154,271,
114,264,395,478,976,673,702,082,640,300,526,324,486,288,102,919,504,128,493,
729,547,912,578,632,656,351,375,472,522,866,942,903,124,692,433,967,545,660,
536,354,823,886,606,379,103,014,684,016,530,705,664,466,133,653,037,427,928,
415,277,950,780,588,483,000,036,539,352,431,238,409,862,343,002,636,843,516,
912,773,544,943,083,460,962,526,690,353,099,534,425,637,762,309,225,436,666,
522,025,424,567,277,974,021,753,271,881,584,387,750,212,855,135,348,062,996,
239,160,207,781,743,358,405,526,675,575,267,991,390,701,696,456,587,928,194,
608,018,290,918,077,125,915,305,777,530,976,075,879,750,035,792,144,702,393,
336,637,005,021,768,131,462,846,372,017,061,694,595,818,666,560,811,631,670,
544,175,979,573,782,553,687,020,894,139,792,457,789,022,588,503,117,143,555,
652,056,983,609,926,007,599,065,649,652,502,583,803,032,174,308,976,893,843,
745,518,567,891,328,287,942,131,750,320,913,679,786,367,001,339,930,179,170,
398,017,668,688,089,278,443,869,264,601,453,407,473,455,735,953,207,186,067,
760,927,810,675,907,255,785,382,177,018,773,547,760,701,698,007,935,657,089,
818,087,917,316,826,365,646,534,333,162,760,503,690,091,696,043,509,898,400,
046,760,803,365,081,150,729,694,637,425,029,845,612,767,835,799,665,308,160,
902,582,650,054,466,444,548,367,757,309,668,975,866,362,971,635,778,074,644,
125,847,266,997,627,661,586,985,518,397,874,205,188,925,880,185,467,430,983,
285,469,655,040,560,935,727,276,946,562,180,989,188,119,632,264,766,733,339,
587,219,411,418,075,931,391,297,240,297,039,582,623,269,821,272,422,365,610,
475,992,757,065,584,615,565,698,633,436,284,404,886,754,499,769,041,545,788,
834,222,292,734,116,745,686,230,180,015,763,646,013,901,992,237,579,374,356,
466,648,270,637,728,259,226,055,783,169,574,247,197,470,241,538,365,221,629,
467,792,057,830,669,795,174,434,677,550,206,392,849,622,337,431,241,669,664,
211,390,415,958,439,790,183,441,763,753,552,525,859,152,039,555,220,763,074,
472,277,562,682,280,587,612,480,392,938,087,442,683,585,676,734,305,523,512,
630,770,336,107,461,716,063,229,984,432,562,193,225,950,545,327,589,986,030,
215,774,196,661,812,515,842,302,201,906,789,142,811,420,442,749,193,885,491,
920,780,464,879,543,274,316,298,692,255,093,775,190,476,515,512,288,848,310,
347,889,057,481,334,633,440,367,595,023,459,053,371,601,997,688,564,536,232,
478,257,047,987,137,870,294,150,343,196,632,824,918,308,465,970,597,387,355,
274,935,660,390,827,020,576,455,828,659,043,190,823,502,037,217,320,046,350,
405,803,749,960,004,080,437,642,432,480,635,378,709,326,181,091,590,175,762,
972,854,604,889,074,312,630,776,091,850,518,264,534,239,573,769,330,556,919,
445,451,864,402,419,497,117,738,520,914,220,371,771,569,930,307,409,485,102,
786,229,511,168,383,248,040,318,935,055,424,190,891,260,796,436,647,477,010,
951,300,148,657,868,289,458,760,272,006,119,610,367,942,715,502,887,883,406,
879,857,516,456,684,043,231,799,751,686,063,127,622,845,182,722,881,951,208,
404,146,388,447,605,316,418,045,075,105,219,005,889,192,987,988,468,391,464,
640,940,299,228,014,188,907,923,367,842,601,489,680,067,183,750,873,606,588,
117,495,281,968,867,439,966,252,843,880,965,383,853,662,980,939,589,787,462,
743,303,146,958,449,800,170,702,337,216,460,109,119,997,618,415,230,949,913,
120,938,340,202,074,681,894,122,185,625,436,743,075,255,433,519,052,336,511,
016,235,179,130,894,494,146,552,560,191,497,047,866,378,924,253,574,589,273,
675,655,240,458,958,012,725,997,825,985,374,841,544,218,212,360,077,154,832,
969,606,987,114,713,293,876,414,226,903,256,164,470,108,222,907,678,936,293,
083,412,321,260,125,163,855,851,864,516,760,655,500,814,627,013,267,442,460,
666,563,458,297,997,974,096,694,593,040,459,760,302,084,044,165,335,719,590,
412,275,864,202,811,686,926,361,609,553,273,900,003,659,833,242,381,795,058,
035,135,495,713,828,139,286,315,028,584,982,015,606,539,909,662,790,747,666,
351,167,841,275,315,426,891,954,643,962,987,066,322,201,492,056,136,831,003,
921,278,985,385,967,725,040,783,612,746,377,281,734,296,815,098,640,308,494,
623,691,456,475,117,548,368,359,236,782,409,799,705,055,930,181,270,783,316,
861,216,575,749,780,985,353,630,807,165,190,064,766,181,589,780,041,964,259,
664,771,861,137,731,485,565,307,140,994,390,214,379,767,061,600,583,274,299,
965,749,925,650,319,563,719,331,921,169,934,894,027,724,857,728,799,882,311,
269,289,235,252,827,547,468,222,915,183,197,388,980,803,846,062,726,767,265,
591,606,799,557,983,884,922,295,446,241,435,671,656,073,518,777,418,049,665,
639,158,180,926,974,775,559,959,549,243,733,193,466,422,868,598,376,737,002,
587,050,673,329,354,570,875,195,942,719,084,552,409,599,619,081,176,807,451,
256,259,985,390,334,353,829,616,371,613,937,543,614,344,979,763,738,653,152,
497,629,553,073,089,960,951,835,431,713,358,704,780,453,445,567,967,345,847,
584,864,635,331,309,005,471,616,370,261,355,222,597,068,847,567,476,407,674,
652,723,841,703,238,862,152,819,581,953,544,473,258,550,478,679,818,559,676,
936,415,388,304,615,702,396,542,513,027,493,914,830,646,098,638,355,548,410,
659,927,312,267,773,902,831,764,763,712,878,589,071,297,430,874,571,724,959,
980,068,338,862,224,659,757,441,566,771,289,858,598,180,920,325,148,798,395,
026,089,205,762,742,034,749,312,863,422,947,872,523,391,840,617,542,366,509,
517,118,995,754,668,909,430,836,037,045,063,520,068,292,926,902,241,234,038,
493,480,342,649,611,631,751,142,358,921,815,717,205,081,871,177,343,731,928,
818,468,758,521,564,256,808,803,502,036,232,570,033,898,581,105,268,603,426,
002,133,164,701,281,650,038,697,818,013,864,302,196,510,270,419,161,354,477,
977,278,503,683,827,413,073,800,806,155,383,486,874,358,443,467,054,847,442,
016,871,557,420,066,424,758,978,033,376,933,273,458,661,331,080,842,328,820,
580,097,690,485,635,085,783,287,338,733,049,378,320,137,339,455,280,036,532,
827,918,330,370,663,594,819,790,030,364,182,409,348,355,446,087,384,333,249,
326,155,439,696,780,278,841,274,983,790,383,455,504,635,874,517,712,408,386,
077,318,328,506,435,435,957,432,260,216,624,942,518,426,490,455,373,836,826,
457,793,614,520,377,030,835,109,322,532,255,470,729,385,893,997,226,959,391,
548,076,868,234,578,177,984,880,765,991,133,303,534,769,462,402,921,343,182,
048,680,541,075,306,147,740,042,817,836,355,134,554,636,932,759,801,775,968,
220,802,152,505,368,647,452,574,728,778,631,345,566,825,087,889,141,136,595,
593,620,137,607,852,732,696,634,809,466,625,432,780,516,050,707,180,444,743,
193,281,859,021,365,642,979,098,583,302,096,524,749,018,478,787,089,528,413,
848,593,171,209,471,303,015,505,789,999,194,365,922,337,485,944,803,289,530,
076,027,053,061,007,398,629,833,671,577,468,027,028,970,989,867,286,026,237,
144,790,443,145,007,792,211,267,384,106,223,880,206,460,989,798,856,074,143,
700,039,223,688,366,802,292,418,858,549,366,414,782,544,523,264,122,362,061,
139,379,203,604,388,169,915,421,764,913,183,290,442,917,860,837,737,270,736,
389,080,273,406,045,779,702,386,578,950,319,768,099,556,377,907,846,404,106,
672,427,684,665,497,542,607,704,843,162,279,243,588,278,312,514,379,066,014,
447,436,823,444,175,620,176,111,710,623,824,382,984,134,750,354,167,042,116,
115,751,525,961,588,154,663,566,864,119,335,516,407,567,692,006,469,675,027,
917,619,368,656,741,499,308,810,993,982,697,065,026,020,802,128,857,897,360,
751,256,027,098,907,224,306,765,118,378,174,470,019,402,226,169,410,276,375,
964,376,041,176,078,926,041,483,002,409,573,415,162,497,086,362,195,798,212,
608,189,972,943,192,178,490,845,212,795,508,623,450,079,375,426,086,957,466,
040,246,251,545,804,270,123,912,304,547,715,952,716,932,664,703,028,748,757,
581,317,758,572,189,963,151,983,901,229,500,542,750,438,496,789,736,989,213,
862,932,250,289,949,264,663,811,843,745,653,182,154,537,644,063,039,556,826,
115,892,775,956,389,901,770,653,769,206,762,450,982,666,670,356,159,566,215,
267,604,693,970,918,221,510,732,925,445,425,956,590,109,036,600,653,407,877,
475,406,211,581,438,850,819,459,502,692,248,408,240,620,706,037,178,093,510,
286,566,721,553,240,905,518,864,992,698,155,220,634,005,711,305,763,841,458,
048,958,676,382,851,925,918,815,673,916,968,788,356,159,243,602,482,713,662,
882,457,807,951,752,395,496,076,709,671,275,655,061,355,053,253,604,409,641,
552,872,226,453,631,181,177,012,589,665,658,329,052,178,921,493,460,379,463,
365,491,582,325,066,545,961,340,651,974,440,433,888,691,525,106,421,096,804,
291,312,571,754,658,373,000,290,074,843,024,804,602,107,458,280,712,361,590,
439,920,638,310,688,022,383,479,038,976,242,328,018,082,756,168,680,969,191,
476,788,194,475,118,996,993,868,468,876,888,694,887,393,610,418,674,326,407,
832,903,069,077,822,237,478,750,531,694,961,737,475,616,476,725,561,926,636,
935,556,836,311,061,498,385,687,959,960,690,432,220,383,399,734,888,642,179,
471,510,533,843,250,701,724,436,633,084,997,660,279,599,168,535,470,453,191,
209,742,851,769,119,984,732,954,975,474,748,059,734,365,372,881,811,519,140,
709,915,362,212,350,759,644,344,055,247,452,498,480,035,941,604,631,088,855,
272,348,069,664,513,841,797,537,710,615,586,007,122,827,710,763,759,390,700,
719,957,900,872,983,455,708,951,272,436,301,612,162,799,493,949,500,901,742,
239,529,393,913,080,149,138,200,570,161,658,222,368,269,130,553,396,356,881,
576,026,617,805,528,406,608,678,908,174,865,232,987,804,383,042,571,873,796,
922,412,098,099,872,541,432,954,449,476,566,535,813,407,507,242,787,820,254,
454,376,053,271,538,831,033,963,932,379,879,435,916,455,598,107,686,598,083,
705,017,350,992,397,435,077,109,109,291,815,688,139,703,699,355,671,680,753,
177,857,041,490,998,451,603,952,215,189,631,980,908,787,257,395,445,064,572,
409,494,671,877,249,103,858,597,883,977,056,963,279,721,884,002,591,545,429,
631,477,887,043,007,814,451,470,644,642,541,401,431,875,057,054,139,297,642,
517,995,094,492,419,999,903,585,751,970,235,982,198,993,552,301,204,433,152,
158,672,882,507,098,073,703,424,415,709,902,647,846,981,912,427,650,216,797,
984,771,714,910,406,127,217,775,879,170,979,829,334,351,267,736,652,985,575,
886,779,354,371,924,998,231,476,313,137,921,634,344,204,081,545,019,618,591,
958,348,092,724,679,468,610,267,252,999,854,869,116,354,778,615,975,732,022,
246,006,056,043,899,185,567,596,463,877,262,157,272,708,863,857,270,779,691,
140,585,144,913,677,536,740,812,979,309,162,542,771,288,935,546,858,166,464,
847,805,475,040,536,169,471,365,922,854,517,169,503,776,144,756,478,254,124,
203,979,383,927,108,660,792,672,320,309,730,254,018,837,281,156,888,174,879,
558,410,850,648,759,407,412,492,841,006,923,710,250,373,920,721,485,109,144,
456,041,134,838,133,389,042,345,426,648,694,886,753,026,283,958,762,138,033,
226,794,578,265,794,325,047,871,079,074,017,469,015,716,586,252,435,937,105,
852,428,107,692,743,299,118,712,372,203,419,644,802,446,217,548,580,484,564,
822,625,862,606,919,118,057,484,161,985,187,343,480,486,138,773,595,257,780,
147,676,131,328,537,585,631,371,216,437,419,097,154,023,331,595,770,579,523,
183,905,893,910,312,400,517,183,185,691,610,725,301,836,080,530,628,951,548,
973,332,396,837,327,118,997,910,265,049,627,700,377,002,293,253,436,177,025,
902,298,678,072,005,424,628,980,513,953,711,199,417,311,009,375,373,664,582,
622,854,878,856,494,165,912,858,890,069,096,781,236,332,466,101,388,674,121,
981,855,807,287,324,861,812,537,110,419,295,616,073,326,496,157,512,164,001,
793,543,944,486,983,365,816,453,829,123,883,891,293,601,396,072,289,305,019,
239,682,512,150,261,207,372,916,784,071,056,643,778,539,992,383,763,292,689,
617,695,703,844,726,228,780,142,116,444,734,737,079,635,245,518,762,439,213,
595,361,375,971,172,387,413,711,105,097,089,773,410,320,748,485,661,890,825,
123,704,928,631,504,652,112,108,444,226,460,341,334,475,598,433,494,889,517,
189,727,601,628,839,695,335,951,395,511,937,497,864,516,647,917,597,613,549,
404,905,031,572,369,709,855,563,504,828,506,908,248,670,421,557,965,058,526,
163,875,038,535,951,332,334,285,567,740,627,943,716,861,750,493,695,167,298,
785,892,316,107,299,793,661,867,248,056,132,495,870,490,623,165,996,860,731,
456,019,333,966,106,918,052,183,272,799,630,515,696,761,328,659,442,613,446,
687,954,937,296,525,798,768,706,955,896,117,499,330,280,506,965,339,566,991,
958,343,769,724,950,993,477,602,594,974,989,159,699,482,435,050,406,219,606,
439,780,486,221,122,464,995,219,915,939,232,110,454,071,803,908,609,512,295,
026,115,668,203,182,479,728,718,970,650,408,202,170,607,188,446,141,406,753,
063,445,532,909,854,696,799,473,304,707,865,195,651,211,519,461,703,135,008,
199,453,515,611,707,963,316,986,286,869,276,651,622,188,051,315,460,196,143,
311,319,924,891,715,114,961,458,627,037,140,872,489,819,081,929,569,702,940,
504,655,701,622,517,785,181,588,332,561,300,228,824,687,556,128,950,588,730,
398,704,917,011,037,370,253,994,741,600,566,824,471,092,353,996,046,228,923,
029,324,675,587,279,713,443,044,494,811,756,817,882,014,814,186,624,548,998,
809,817,239,013,465,354,569,340,658,716,403,774,286,639,836,294,313,508,869,
895,165,287,151,978,905,856,692,914,093,447,521,853,118,009,906,386,560,859,
779,976,252,678,883,871,911,069,736,274,805,801,325,134,291,093,781,242,553,
760,202,259,502,244,269,557,242,109,797,517,832,480,404,180,695,893,384,028,
767,163,702,596,125,850,140,638,014,725,286,572,510,892,306,888,659,718,620,
722,327,088,571,526,730,156,787,007,416,377,911,493,306,774,234,028,193,975,
045,652,654,235,263,582,065,582,200,673,378,549,308,017,019,581,006,186,233,
690,970,960,248,126,114,725,941,905,005,518,597,613,877,975,781,808,890,217,
220,962,680,890,508,317,784,921,485,887,129,493,241,600,434,691,175,789,591,
490,808,129,051,225,621,845,372,551,296,442,162,361,273,613,926,242,616,974,
413,389,071,657,463,943,543,449,676,159,242,386,185,825,881,086,362,956,257,
388,588,882,437,467,130,392,048,057,277,795,638,707,919,288,331,666,679,787,
780,385,451,580,760,840,994,374,815,481,577,875,953,891,989,516,826,695,321,
481,690,054,962,090,255,259,566,932,168,283,690,042,389,481,251,510,337,475,
613,325,297,789,882,094,441,859,287,166,766,752,606,101,022,003,583,889,580,
405,647,157,805,333,457,922,659,151,377,848,443,436,182,324,306,118,120,036,
420,258,601,874,720,494,999,973,740,936,741,670,780,836,412,700,865,607,898,
647,706,069,320,652,019,933,898,644,508,154,261,877,187,020,936,081,620,608,
840,494,603,116,308,504,794,864,210,895,016,682,240,047,801,639,928,103,188,
242,759,428,423,396,460,982,005,321,321,790,756,135,612,818,607,658,508,552,
925,575,273,246,112,960,206,414,441,613,803,988,922,134,158,418,018,816,708,
856,727,699,379,673,867,160,718,096,530,385,653,737,975,632,151,061,280,636,
892,748,965,870,301,098,368,446,016,379,756,311,687,240,400,813,677,013,695,
092,181,946,535,748,812,457,146,309,909,829,057,528,780,877,819,509,496,169,
880,239,839,752,952,974,134,431,254,159,803,568,375,179,774,663,185,264,033,
303,746,443,704,456,914,166,228,783,421,680,254,689,479,675,355,148,319,225,
812,868,616,781,277,216,239,310,272,299,255,917,974,922,693,823,342,073,122,
490,302,555,500,004,572,486,411,428,080,099,423,488,001,645,369,100,743,928,
609,879,733,892,408,803,825,788,298,203,828,949,754,435,970,100,981,481,410,
014,972,810,652,346,208,637,356,984,929,919,757,412,280,321,813,522,336,932,
941,558,366,712,635,617,847,775,307,193,641,727,065,123,236,486,896,166,482,
487,410,942,674,263,480,518,771,584,872,982,568,135,376,396,723,548,455,552,
923,597,636,197,738,762,503,620,846,489,534,278,851,944,301,248,897,845,354,
157,946,122,319,760,644,174,042,898,378,798,992,288,111,564,371,665,809,165,
873,543,956,580,267,526,163,718,928,993,170,010,331,809,789,202,015,039,320,
938,335,743,788,843,770,116,142,272,987,446,149,208,379,676,525,818,926,872,
257,813,401,767,591,420,626,248,725,094,617,946,622,700,498,848,632,456,109,
431,211,653,576,101,357,715,855,286,670,519,067,303,583,721,273,487,799,182,
682,523,896,354,473,911,413,128,364,200,470,564,553,174,535,171,475,481,897,
379,576,312,326,171,387,619,486,700,394,003,876,433,009,831,599,130,054,889,
058,425,492,275,821,967,609,226,819,107,896,561,382,023,276,193,857,796,193,
934,254,856,574,094,788,895,167,860,685,365,097,419,740,867,029,524,843,707,
233,949,285,455,800,648,629,255,811,485,298,924,260,564,253,641,413,047,293,
724,794,860,550,693,088,550,050,852,342,727,967,944,548,353,188,380,028,793,
148,266,162,548,244,600,502,775,276,163,521,311,162,089,131,670,121,190,729,
807,480,321,833,918,730,870,830,094,640,821,579,515,541,422,473,043,311,697,
613,948,311,357,281,381,618,886,381,053,026,889,259,492,911,719,273,041,803,
162,021,209,846,969,955,105,730,949,296,218,903,911,110,527,235,918,856,841,
130,520,368,760,944,814,196,708,156,272,844,099,935,023,152,648,184,673,549,
812,384,607,469,689,852,858,560,914,022,410,437,812,490,261,676,650,138,704,
295,697,998,097,068,528,138,099,216,139,741,680,979,442,170,080,706,256,414,
172,051,591,118,064,770,288,306,539,872,775,493,922,217,082,081,818,755,821,
697,732,727,181,353,983,220,745,222,756,353,651,247,252,683,707,071,965,414,
656,466,478,811,392,502,895,356,346,246,658,357,536,355,741,254,713,716,468,
695,132,015,247,676,100,909,319,733,571,436,852,741,083,457,929,727,591,577,
913,081,723,745,750,476,013,462,023,906,950,424,358,817,945,375,806,698,890,
343,161,914,028,139,906,964,597,874,080,664,243,339,233,682,727,654,417,018,
601,286,957,977,995,512,196,582,116,494,165,576,057,179,577,749,115,632,748,
208,314,578,747,538,624,877,061,387,864,494,970,929,870,613,437,784,878,360,
465,697,052,878,736,255,172,091,583,314,465,731,249,796,223,349,361,183,301,
140,563,941,525,699,553,880,244,597,855,452,947,546,856,322,025,064,305,305,
803,454,224,808,421,908,000,040,455,386,434,721,341,024,844,486,821,811,524,
144,964,063,124,839,830,518,759,260,289,404,354,774,606,641,725,949,744,003,
244,332,550,514,677,177,445,061,791,899,609,207,246,612,252,613,128,863,623,
974,921,697,383,771,859,121,519,117,438,047,717,015,719,474,542,299,037,242,
976,664,856,000,890,338,615,006,388,229,818,219,623,759,095,703,528,933,397,
194,544,498,084,929,789,998,948,906,414,616,297,583,474,169,277,541,255,591,
169,890,659,970,387,398,611,851,697,337,823,359,646,126,088,838,106,581,093,
502,238,832,292,492,471,730,425,260,566,108,872,768,767,940,451,243,693,004,
638,872,555,839,977,886,484,477,517,210,794,255,259,423,695,590,302,564,163,
428,091,641,254,295,041,045,621,906,101,179,111,889,450,574,632,793,768,879,
209,345,295,511,431,877,223,973,885,322,538,487,960,518,397,516,669,409,435,
846,885,024,562,373,110,075,448,287,424,702,815,328,779,147,873,113,655,999,
400,385,523,087,597,006,353,237,285,470,402,122,181,367,193,433,689,931,289,
664,633,555,128,356,763,907,690,020,898,021,857,042,735,935,363,266,789,592,
045,545,217,895,464,569,529,656,974,081,824,421,804,465,816,756,408,272,232,
779,756,179,704,016,585,838,746,907,102,256,439,715,528,699,647,825,952,058,
548,537,289,802,772,175,219,231,165,161,264,777,995,779,870,459,573,111,847,
752,028,415,976,583,081,609,861,269,385,486,899,089,218,053,505,234,598,570,
311,038,781,085,215,853,622,280,779,731,226,394,116,026,377,856,754,643,386,
776,752,328,616,532,340,070,049,670,897,371,762,337,249,349,121,532,119,450,
427,328,276,314,075,447,406,690,876,574,218,951,027,689,504,868,876,262,355,
125,724,668,807,331,565,652,632,073,104,166,857,457,282,709,936,258,381,058,
365,533,655,030,781,762,592,421,543,098,239,758,964,236,390,535,159,872,984,
848,606,114,829,476,268,917,880,327,959,155,382,679,406,913,494,261,729,527,
615,898,339,070,440,192,932,886,992,233,977,178,677,006,679,783,998,288,748,
673,398,306,557,587,501,567,127,966,873,215,863,640,750,985,861,729,661,968,
273,080,334,066,192,557,791,358,403,681,355,334,351,267,683,099,279,475,173,
680,695,046,331,841,721,651,950,406,164,086,748,158,074,611,493,102,640,692,
419,189,217,076,366,261,218,436,192,720,173,909,388,936,877,521,335,996,769,
567,423,146,677,954,156,495,153,345,727,030,499,110,187,279,605,349,681,631,
625,618,309,905,134,382,584,688,509,734,765,927,377,364,806,847,836,106,213,
227,840,603,668,254,362,840,855,953,276,679,512,428,198,452,868,891,328,129,
732,642,638,146,931,349,557,726,959,068,021,148,324,189,295,894,452,221,897,
422,807,980,735,703,975,905,636,879,925,226,141,517,041,271,536,913,451,033,
896,718,206,211,982,344,223,834,275,182,914,378,273,652,295,425,498,581,304,
470,245,593,840,546,010,059,140,963,120,889,882,236,399,846,654,442,407,174,
794,639,252,483,146,347,833,414,278,551,510,965,643,709,488,076,878,096,670,
455,302,521,975,566,404,175,805,717,168,556,350,981,422,474,511,705,193,820,
858,200,843,439,011,424,642,089,506,681,026,594,646,200,647,868,464,105,134,
497,233,234,626,787,434,233,588,432,064,835,633,746,208,516,467,755,140,307,
538,050,889,417,740,491,124,246,352,353,629,593,996,915,447,736,101,409,724,
723,980,439,993,536,595,371,753,381,310,002,210,682,381,233,642,690,704,475,
372,403,969,642,392,818,009,261,260,703,601,554,902,297,652,225,610,221,115,
287,264,537,218,479,153,369,146,911,893,076,597,322,383,752,766,765,833,944,
613,929,582,489,344,074,229,770,061,761,108,505,807,253,567,041,407,762,737,
422,698,459,233,088,353,004,542,100,977,760,037,521,291,017,685,090,271,424,
573,755,078,477,577,709,798,456,925,938,037,919,470,456,921,863,484,230,161,
446,846,663,071,292,678,144,033,566,224,881,487,019,955,198,225,859,104,674,
535,343,551,457,550,992,258,511,936,184,874,706,317,417,054,779,095,593,178,
275,676,791,095,913,447,759,178,150,067,571,263,968,951,774,253,861,446,933,
498,924,894,776,593,743,572,303,229,834,140,453,375,990,402,268,329,382,801,
879,995,232,421,119,179,336,904,793,658,695,581,996,805,386,110,989,758,000,
489,125,400,626,840,534,370,245,211,948,997,630,267,116,543,145,596,052,456,
616,541,345,877,866,824,273,165,255,271,206,135,090,810,265,827,649,111,189,
202,463,278,587,510,195,130,021,711,132,202,438,253,535,082,555,234,716,862,
538,965,274,563,066,183,896,022,190,415,028,178,318,617,505,367,888,339,636,
805,917,780,527,224,027,895,088,289,463,319,268,065,666,112,691,691,619,190,
377,312,719,283,391,616,949,971,341,341,529,295,858,411,779,590,401,930,868,
004,533,474,782,631,696,590,441,661,111,744,103,598,522,492,477,080,119,421,
482,802,138,947,806,965,016,420,649,340,621,015,867,003,235,840,343,093,581,
938,702,030,859,700,573,374,106,403,060,824,147,780,077,482,131,392,448,863,
454,496,984,086,509,721,168,952,424,604,026,712,507,655,774,286,992,098,818,
584,906,864,519,085,868,716,948,466,802,675,431,355,932,533,867,021,509,331,
965,391,287,080,631,557,064,968,934,185,749,421,974,450,300,542,941,180,841,
133,095,006,654,187,338,027,012,533,229,886,541,527,158,775,640,518,062,695,
212,275,858,061,737,690,726,493,065,148,780,870,881,115,475,661,359,898,839,
055,433,695,824,613,867,637,346,975,976,161,935,570,354,508,773,915,012,660,
494,965,340,756,123,362,516,035,524,926,657,189,783,959,225,305,622,974,570,
741,468,669,017,689,016,969,731,391,454,774,042,488,856,960,715,438,897,018,
976,379,626,173,029,765,625,575,647,333,061,867,646,245,195,804,919,028,279,
253,145,963,381,033,648,918,151,447,461,223,886,645,465,057,826,198,949,366,
242,528,850,971,940,517,281,583,409,150,376,304,726,460,747,070,731,994,405,
979,867,906,472,158,433,315,338,306,125,184,458,089,823,884,850,162,210,627,
447,227,123,981,967,758,859,151,744,449,604,283,159,958,951,298,551,174,955,
930,667,027,057,552,282,809,217,810,056,775,721,860,805,423,372,888,997,910,
589,223,447,454,839,795,578,845,303,269,605,662,769,065,924,182,113,378,357,
169,022,236,790,570,453,978,941,366,765,372,962,685,373,629,839,346,880,747,
990,804,136,951,543,587,395,496,453,358,549,347,559,405,004,579,737,772,651,
539,430,142,147,824,768,030,178,839,502,893,253,557,127,547,680,082,574,262,
427,298,426,953,801,374,298,337,185,749,354,468,096,247,278,119,111,100,191,
386,443,352,156,082,208,714,924,689,982,139,096,234,236,044,914,898,143,248,
717,012,104,406,921,153,854,372,387,992,058,042,287,349,276,613,142,623,671,
495,985,543,377,603,211,114,471,910,897,986,094,234,573,831,933,473,920,361,
448,077,586,455,488,202,443,670,132,432,233,914,375,809,665,271,841,796,895,
328,770,421,003,435,582,539,583,271,268,969,862,582,166,057,023,160,234,239,
401,094,285,658,773,198,290,553,054,945,329,578,220,445,954,392,790,074,028,
690,449,450,209,043,195,881,144,632,852,478,254,123,553,919,395,626,064,828,
388,852,756,132,508,147,247,688,019,887,192,264,515,488,502,613,341,574,459,
152,855,449,812,001,289,985,313,019,570,516,840,009,905,753,640,481,180,571,
081,468,250,157,596,789,415,790,779,119,998,288,345,619,231,716,297,775,562,
950,661,379,818,173,406,785,679,128,957,053,222,856,405,574,563,006,718,735,
883,013,174,795,813,010,848,342,882,745,774,197,034,846,097,757,456,586,103,
803,600,883,595,369,967,352,258,103,636,799,465,806,417,017,093,187,997,874,
343,369,899,732,845,332,346,789,131,802,220,208,406,123,033,895,244,218,239,
547,101,714,127,269,713,210,306,697,256,313,107,299,793,038,400,633,786,959,
365,859,995,376,424,296,954,581,643,363,382,625,679,347,330,515,043,086,348,
913,973,141,015,144,240,658,228,485,083,206,184,888,837,392,695,261,414,935,
341,818,074,975,383,238,556,696,546,341,493,556,924,094,185,112,311,222,398,
072,811,062,878,603,148,412,719,447,698,522,981,210,415,064,578,239,936,722,
475,285,464,509,280,732,128,140,862,834,068,479,600,200,351,031,902,458,538,
270,991,519,425,144,702,660,533,872,040,051,984,872,801,610,202,520,962,761,
906,796,572,560,003,269,368,334,578,302,996,146,842,746,477,726,396,414,609,
837,579,774,305,420,377,082,411,236,183,768,138,408,705,076,450,928,584,986,
327,670,850,629,228,000,283,999,605,979,001,584,654,142,672,530,099,114,739,
428,496,770,950,702,553,286,518,129,359,645,284,430,746,275,553,224,043,137,
853,962,255,176,981,075,711,072,584,345,736,686,825,441,035,058,835,045,994,
847,302,630,638,116,851,249,866,068,151,014,342,854,316,720,375,302,327,969,
411,642,675,765,177,771,836,909,823,516,021,886,243,540,265,438,835,485,566,
229,186,294,688,021,863,331,117,789,589,728,966,353,805,390,308,301,619,030,
435,933,347,996,094,911,716,054,037,814,538,774,698,180,107,547,778,055,151,
149,255,102,290,582,519,953,874,528,280,147,676,215,442,760,062,214,200,653,
074,325,529,207,758,295,907,707,082,592,569,974,835,068,479,575,656,930,597,
396,750,025,772,740,766,174,046,494,145,138,167,531,838,123,927,357,314,389,
055,630,921,066,897,318,839,331,674,503,732,897,653,658,726,610,602,916,374,
757,418,766,881,908,846,411,228,619,113,070,854,367,248,769,233,747,712,472,
068,455,348,301,972,628,293,302,637,827,275,133,644,704,182,615,803,129,851,
508,191,687,045,509,318,983,270,002,960,648,952,157,591,839,541,991,825,240,
220,235,667,972,332,273,153,881,240,993,909,117,693,434,446,642,065,697,990,
374,008,699,649,472,098,608,741,378,724,894,436,029,807,713,472,217,314,745,
119,757,851,995,815,407,481,915,136,562,831,240,973,089,062,755,914,098,668,
818,373,477,713,963,440,237,005,544,593,337,603,998,889,945,330,052,613,121,
041,006,775,283,342,395,726,489,211,781,526,480,790,294,915,651,809,414,247,
218,921,521,498,471,922,464,119,416,083,593,013,327,206,654,531,653,452,814,
154,463,345,274,579,171,254,116,183,241,088,819,448,680,466,049,869,407,957,
228,236,054,573,828,787,552,266,087,560,216,797,633,741,021,683,622,425,632,
505,480,084,952,305,002,960,322,865,169,802,377,724,297,201,582,148,826,027,
498,201,820,556,789,990,236,105,027,878,446,662,068,607,390,617,836,692,737,
504,370,800,637,762,857,601,850,586,922,049,848,409,244,024,430,709,171,126,
091,906,091,283,762,821,710,841,464,648,948,120,841,587,993,158,233,958,310,
771,450,702,032,745,230,930,268,119,790,996,684,666,928,801,622,195,173,500,
688,526,153,296,652,758,270,710,307,860,174,946,951,542,053,754,713,080,586,
920,704,677,705,443,572,762,886,030,564,399,451,735,500,642,856,000,712,466,
779,261,619,420,155,945,821,657,697,426,984,067,918,792,259,876,747,136,945,
146,464,367,065,999,665,471,986,190,248,063,742,493,956,679,722,437,090,245,
015,131,272,627,918,453,005,088,641,990,906,790,461,802,795,644,057,270,938,
592,716,498,852,493,524,360,449,243,658,792,841,051,866,931,538,939,171,677,
033,185,638,727,618,984,148,658,604,902,499,596,049,266,908,530,793,008,450,
068,911,044,877,491,473,237,457,838,594,268,864,058,011,543,091,765,027,362,
139,194,548,542,306,732,510,669,918,073,635,082,560,380,815,743,066,100,157,
452,111,280,618,708,504,624,760,525,946,384,175,704,052,256,238,634,671,323,
793,527,243,495,853,426,044,292,587,757,321,423,553,787,621,756,018,532,279,
154,798,445,415,882,021,346,598,076,956,943,358,550,266,762,459,775,743,940,
173,348,677,168,398,628,502,716,884,702,284,241,579,600,169,018,220,493,628,
159,916,336,403,017,227,953,123,823,325,648,006,726,174,304,544,545,399,441,
045,280,071,215,163,405,041,817,232,951,484,982,942,037,617,336,726,776,081,
473,175,494,738,697,837,247,649,309,432,950,674,725,217,917,575,213,269,034,
912,509,983,677,992,944,283,839,406,773,509,765,754,646,796,866,956,349,104,
984,037,432,374,596,185,682,283,123,956,118,863,807,272,465,920,011,107,424,
871,226,550,329,323,704,082,824,698,652,285,609,728,405,311,959,566,079,581,
366,499,601,487,592,001,973,649,464,263,147,449,101,625,207,393,004,117,609,
171,217,374,575,212,298,113,821,249,138,369,552,612,163,324,141,297,716,370,
314,846,535,249,317,389,002,806,392,773,357,339,121,477,096,112,488,813,849,
392,203,757,668,480,567,721,603,521,287,199,856,024,534,436,437,438,957,900,
765,067,482,297,194,080,801,863,602,765,227,948,369,364,109,963,278,474,811,
105,827,349,068,695,963,685,223,925,963,078,530,390,553,253,346,162,950,064,
143,348,531,364,995,721,919,539,533,302,323,136,631,228,800,008,353,911,675,
744,912,678,369,437,417,375,853,982,251,728,994,410,415,447,142,284,804,568,
343,044,757,636,731,893,032,377,631,004,919,957,887,964,623,767,515,749,254,
281,668,804,390,407,278,760,975,260,581,816,978,354,125,999,937,715,512,912,
352,228,705,687,881,397,027,601,698,975,185,386,976,170,444,603,511,887,744,
238,845,374,743,147,888,594,813,716,679,129,892,688,510,533,664,809,958,206,
969,872,675,388,871,333,453,329,647,702,329,950,840,502,957,023,847,606,343,
573,609,569,159,319,263,280,378,156,938,310,417,372,248,672,177,284,348,438,
162,242,552,712,543,561,403,579,270,515,297,111,155,376,788,081,091,988,661,
011,490,668,192,253,131,378,534,277,865,683,522,756,741,008,764,392,509,312,
541,697,278,961,164,150,682,693,522,302,070,076,783,292,535,070,062,879,709,
691,786,538,320,061,388,401,714,092,642,107,621,806,107,397,005,297,734,139,
909,625,147,326,369,459,095,214,035,387,755,092,443,355,249,780,601,088,054,
253,291,905,396,955,479,737,814,395,399,918,425,385,241,889,143,756,279,237,
149,600,614,876,441,996,614,065,020,988,921,051,735,281,334,211,981,237,912,
989,214,431,057,974,734,321,404,127,668,693,519,844,543,878,396,603,947,779,
845,394,301,630,995,493,316,841,301,114,381,922,192,849,643,634,662,156,075,
879,148,631,472,520,900,539,192,588,220,332,442,364,818,691,786,476,323,978,
581,371,713,450,189,752,873,585,599,676,850,182,057,312,221,516,269,343,796,
987,158,403,516,280,759,851,627,359,080,538,795,502,097,979,062,357,265,862,
635,384,019,590,945,255,057,846,524,077,765,356,555,662,245,473,822,649,190,
941,297,268,237,851,070,877,964,285,695,069,689,046,637,952,773,405,025,851,
953,574,740,918,401,837,931,648,603,963,961,118,424,708,438,223,471,945,088,
993,566,366,744,539,371,341,637,084,730,226,139,890,372,017,790,810,204,523,
099,556,368,968,504,490,379,674,057,141,384,309,728,629,224,902,529,962,290,
945,627,580,528,840,292,239,878,451,508,928,771,773,575,773,180,167,389,726,
440,319,247,982,185,450,798,807,692,877,782,787,610,763,141,425,785,784,201,
241,287,781,699,781,865,205,781,099,472,684,205,530,505,854,179,022,204,865,
437,548,396,031,814,552,920,840,412,266,419,605,648,004,715,519,664,566,431,
219,937,746,257,110,983,274,861,803,764,527,178,197,412,635,728,319,028,857,
938,295,282,711,603,937,057,249,221,679,784,926,514,380,768,764,496,343,368,
601,686,967,901,126,806,448,673,450,838,847,075,607,322,356,530,775,241,955,
368,751,445,028,104,995,627,928,591,415,296,431,856,014,214,615,056,572,201,
144,852,243,249,462,493,400,816,449,739,023,669,237,587,063,643,213,139,395,
075,989,752,037,196,039,762,274,918,355,581,716,635,865,122,280,275,048,588,
852,849,578,565,879,217,255,713,035,241,019,770,259,058,513,439,190,012,308,
094,053,001,020,974,919,656,435,339,637,406,643,984,064,588,214,896,882,976,
996,285,531,695,210,899,659,201,920,077,835,533,275,006,862,349,744,207,895,
761,128,273,834,670,371,111,577,405,642,734,466,808,862,355,950,842,569,009,
174,967,786,528,216,967,379,902,764,899,044,169,910,927,686,797,969,703,884,
490,824,475,940,226,491,065,939,640,042,749,178,130,776,232,729,985,711,151,
540,490,269,411,627,225,014,958,831,049,346,458,922,793,317,977,807,822,132,
809,912,905,034,257,385,763,061,345,113,118,482,401,055,949,803,396,606,993,
482,833,552,918,831,774,869,211,610,883,881,384,605,575,716,859,023,919,749,
290,242,047,627,708,360,998,505,219,768,107,054,965,936,409,688,091,288,167,
968,588,895,567,150,399,520,120,478,810,629,519,615,593,304,448,542,191,734,
122,860,289,819,137,667,053,914,221,209,668,015,927,228,509,384,899,633,616,
101,990,385,559,701,069,078,019,741,532,965,434,274,837,623,384,967,606,977,
242,884,527,651,271,825,954,950,521,365,975,020,205,362,605,449,611,999,454,
307,459,843,268,942,735,446,215,801,862,680,307,005,856,922,268,965,756,230,
001,735,787,517,336,721,921,491,307,542,247,948,318,392,852,982,417,036,491,
665,388,220,388,803,925,958,538,223,625,593,172,572,248,548,504,159,662,806,
380,964,059,777,620,175,525,383,589,228,312,595,790,366,007,972,819,429,674,
557,969,052,056,405,102,702,843,936,282,010,940,378,338,059,060,090,669,785,
775,250,171,639,910,593,220,681,549,183,096,417,900,520,097,094,307,500,399,
324,739,421,269,727,182,826,975,784,048,061,121,873,606,484,887,151,156,752,
601,759,315,857,377,721,517,500,989,908,200,722,546,746,098,660,918,981,831,
861,158,593,016,282,444,611,450,589,597,350,272,324,555,388,028,219,272,708,
127,523,271,918,274,318,648,057,050,991,020,653,420,439,562,782,589,462,790,
587,893,661,272,025,351,704,584,279,080,336,546,991,689,923,502,888,260,979,
838,759,095,376,648,554,484,192,930,493,777,706,297,507,330,451,041,386,183,
511,984,443,362,273,188,879,705,365,967,530,485,224,368,469,535,037,340,245,
752,065,288,276,195,283,918,636,666,828,304,954,481,331,314,993,501,321,104,
865,987,029,297,999,508,732,931,525,649,138,256,831,109,796,028,848,243,605,
055,843,408,696,137,238,822,503,338,887,781,927,002,861,609,100,086,425,981,
498,036,254,881,115,025,828,867,704,858,075,297,009,930,535,419,657,369,570,
643,163,315,764,479,545,986,049,952,755,843,535,034,337,717,160,864,668,871,
650,988,590,595,498,453,391,224,183,684,178,105,100,772,567,142,014,710,373,
045,066,010,945,067,832,275,116,773,288,228,879,664,819,667,957,191,510,566,
166,914,628,079,392,883,366,232,439,203,804,181,949,185,567,988,401,430,228,
631,606,027,068,948,973,447,237,077,261,406,336,624,540,737,596,821,822,614,
189,369,255,587,049,327,636,704,591,212,305,624,454,688,212,575,914,210,487,
605,270,702,168,618,884,492,899,621,848,751,445,822,075,249,634,858,057,569,
899,052,006,144,405,609,450,862,277,330,598,361,599,390,842,050,174,074,272,
696,296,685,137,872,779,183,378,543,242,454,517,667,001,870,873,903,158,764,
423,174,411,835,073,099,225,419,777,557,003,730,842,447,814,169,682,680,457,
246,865,429,031,934,217,588,683,039,956,946,810,843,848,150,200,387,753,022,
492,441,731,514,688,191,517,525,001,863,787,530,006,386,390,656,355,526,147,
886,973,151,534,185,421,013,260,235,131,627,298,843,987,182,747,863,002,226,
773,312,424,214,586,019,782,420,001,882,799,649,192,830,982,955,750,774,199,
094,316,808,504,515,782,108,534,500,580,006,846,790,368,559,399,792,359,746,
344,329,738,036,497,495,223,429,876,825,029,361,195,983,519,168,684,724,557,
218,274,090,884,573,474,552,807,621,285,138,304,781,596,811,858,442,667,786,
293,846,631,515,700,361,926,573,214,226,119,045,632,917,285,655,458,218,792,
210,175,724,715,650,703,553,917,715,795,163,348,188,655,213,842,882,115,573,
891,917,057,245,136,701,398,457,481,809,950,445,839,279,007,375,711,279,684,
074,583,158,486,167,916,988,582,067,783,250,146,665,564,324,696,912,195,950,
936,115,241,296,136,900,491,804,054,524,270,101,935,189,211,812,038,155,330,
704,878,811,750,384,522,170,911,669,841,926,536,729,051,263,432,480,935,188,
488,423,870,599,010,583,914,160,729,940,673,934,686,911,157,059,365,228,019,
691,639,210,863,791,084,093,943,268,531,762,128,453,662,978,850,936,123,578,
796,785,054,104,039,158,829,650,886,997,627,346,510,894,995,392,763,067,205,
467,764,204,910,436,495,815,911,030,161,137,530,641,311,241,134,519,712,569,
032,769,815,282,046,270,734,614,367,840,734,416,351,515,391,526,464,621,161,
164,818,987,800,019,517,651,464,293,696,520,510,923,429,819,531,590,094,195,
786,004,578,310,597,684,218,382,247,036,853,535,522,414,498,355,073,213,128,
983,655,336,963,953,022,235,386,636,671,393,302,967,451,431,421,336,946,384,
055,503,232,843,922,583,778,637,159,881,222,456,979,420,794,074,046,479,013,
403,639,550,645,070,396,705,822,408,953,548,064,855,851,735,328,755,702,171,
806,342,939,846,158,335,122,042,977,483,340,426,839,436,303,767,301,201,518,
308,061,572,731,207,801,315,831,445,921,887,137,181,723,375,756,183,188,886,
239,169,837,780,049,967,750,267,608,559,513,535,975,493,705,535,457,881,376,
289,475,628,630,683,026,453,303,765,414,942,338,795,411,175,174,817,681,431,
127,190,608,292,822,055,784,190,669,165,314,422,781,473,767,227,092,284,315,
292,513,923,144,036,810,283,532,627,686,549,667,070,008,516,748,967,903,732,
534,839,592,137,466,772,348,610,985,508,976,896,219,485,107,589,796,189,130,
222,999,435,498,306,406,285,333,965,958,465,954,705,909,462,940,812,985,991,
381,243,617,468,496,525,290,711,286,725,248,555,645,711,887,326,773,011,168,
831,958,833,823,139,144,270,277,267,211,278,180,152,072,644,342,920,638,332,
672,712,844,323,252,679,826,155,741,953,314,994,310,223,390,554,346,595,129,
431,993,664,884,895,691,920,829,326,412,333,844,755,916,705,994,076,084,746,
357,802,634,808,632,362,923,581,665,757,709,101,466,919,577,774,532,284,505,
660,960,215,106,721,109,610,690,001,860,273,869,123,761,225,437,464,550,002,
960,828,010,103,898,993,493,455,442,023,426,982,960,279,048,833,203,865,575,
533,980,422,764,100,465,829,240,185,854,931,093,376,438,456,740,131,888,308,
075,745,044,314,905,463,101,775,484,580,578,380,725,835,933,510,254,236,421,
325,954,495,076,572,729,547,951,492,357,861,047,762,781,508,377,101,521,353,
914,059,032,669,746,056,107,194,016,237,154,293,099,973,433,713,267,264,694,
716,871,328,787,015,326,920,288,550,719,197,069,999,782,594,553,491,815,246,
565,333,294,338,849,143,453,363,768,491,681,541,119,277,557,654,984,411,961,
660,233,055,401,256,504,184,554,724,734,636,513,991,214,601,507,585,613,883,
503,131,805,478,326,886,383,596,616,420,563,372,329,094,396,593,639,030,790,
716,764,019,862,227,877,366,056,386,578,310,105,627,414,850,744,393,768,821,
784,556,779,464,818,561,377,742,584,794,737,543,270,628,846,750,935,011,738,
380,048,053,642,457,818,925,125,622,634,397,485,524,057,781,105,350,130,632,
599,753,597,545,262,369,705,621,609,992,683,219,035,207,841,341,928,971,728,
233,953,723,430,051,198,849,578,094,229,213,178,139,668,916,594,412,100,185,
474,822,693,938,321,650,527,555,662,627,811,089,441,046,754,568,021,693,876,
052,841,367,282,078,771,940,850,891,172,604,770,831,633,908,447,660,649,298,
921,434,451,984,239,188,721,296,790,997,389,939,927,589,040,389,946,924,131,
098,814,372,249,945,785,553,698,128,811,323,470,049,184,529,891,939,661,980,
046,343,570,309,754,754,507,558,288,421,331,076,680,234,478,714,625,243,177,
693,926,485,082,735,237,287,341,075,684,581,303,601,568,992,836,772,329,203,
614,930,337,596,285,179,579,829,077,659,864,454,345,426,060,636,821,672,515,
648,179,470,013,640,707,480,074,698,983,828,740,649,426,208,342,099,282,480,
996,154,764,153,596,659,841,766,394,253,099,636,936,109,761,483,227,035,985,
546,750,688,451,303,497,692,596,503,645,280,855,671,692,415,420,929,216,338,
575,778,092,574,860,364,589,416,608,285,377,553,748,628,739,603,196,114,894,
364,415,749,780,865,734,781,291,312,537,625,742,406,831,277,553,043,338,982,
083,488,294,328,536,847,255,663,741,258,955,908,389,375,945,716,666,962,425,
840,967,921,426,858,610,446,195,503,152,341,330,556,697,332,458,661,193,720,
619,475,561,054,160,613,265,678,728,385,030,492,635,658,193,944,223,602,036,
775,141,258,461,740,744,752,510,131,848,308,242,341,788,287,060,466,825,362,
225,221,737,718,687,265,204,068,718,348,416,437,949,205,538,433,110,515,316,
220,532,892,993,984,198,957,091,649,616,936,138,780,013,656,272,371,623,489,
568,838,221,782,169,603,069,272,101,495,585,677,204,084,682,274,686,756,295,
611,405,246,819,170,981,207,700,673,676,982,240,114,018,858,976,755,313,730,
766,397,314,273,257,291,509,655,434,032,258,128,917,488,627,227,547,179,901,
819,811,549,924,388,738,242,551,693,758,955,930,802,868,220,536,014,055,682,
506,443,391,669,640,197,396,279,713,441,613,887,414,926,273,717,919,818,274,
992,150,273,367,000,249,104,360,127,271,155,707,255,149,879,388,765,846,804,
229,474,448,929,612,063,960,852,446,952,491,321,687,521,365,504,686,321,155,
068,114,500,798,101,321,883,035,457,683,214,196,615,688,400,637,804,149,913,
163,287,110,553,232,105,115,634,520,100,036,334,308,795,543,635,897,032,451,
513,741,322,354,356,369,561,755,567,697,747,468,668,009,880,323,242,976,262,
068,912,330,829,903,518,527,029,374,273,505,739,049,064,421,063,790,212,358,
211,907,144,760,159,104,532,881,987,768,501,862,398,590,760,071,380,424,574,
285,099,119,960,626,861,642,288,696,985,507,079,714,694,309,586,920,427,421,
727,545,334,369,749,294,238,647,357,718,627,922,207,130,387,367,279,968,615,
856,613,655,552,770,054,939,352,836,150,381,912,266,901,109,054,454,937,799,
731,792,198,505,897,934,271,668,738,765,154,426,469,950,445,801,198,270,643,
064,807,256,828,811,831,935,792,618,177,464,869,162,670,412,994,867,168,244,
811,793,971,132,563,461,163,880,755,024,280,779,280,241,245,884,718,453,557,
913,534,407,320,297,815,301,728,283,833,235,303,655,040,393,053,701,584,642,
601,318,862,349,881,877,964,389,946,443,089,017,541,437,191,751,433,030,365,
910,364,473,738,009,178,054,010,117,718,982,725,190,568,199,974,206,183,187,
566,634,899,860,597,724,742,082,450,166,393,176,782,023,904,264,627,097,141,
074,462,516,633,313,477,923,008,407,647,162,814,899,820,505,371,864,492,173,
944,085,315,354,119,369,427,990,192,272,222,491,229,648,898,894,162,018,966,
432,933,758,935,239,812,968,426,817,127,627,805,097,524,820,702,129,286,811,
786,070,842,611,236,202,637,862,282,893,460,571,762,301,402,985,327,115,594,
169,478,112,110,012,181,327,862,861,445,821,371,774,944,080,019,954,240,240,
988,780,394,112,970,930,514,461,504,771,842,816,186,119,233,659,815,416,538,
996,875,685,664,557,571,662,420,841,681,820,678,172,114,498,205,213,785,352,
528,754,046,020,569,705,318,454,059,554,774,580,738,000,534,653,083,105,283,
876,332,481,132,453,838,072,875,677,204,671,469,403,755,081,781,646,458,950,
365,024,113,524,443,571,899,309,547,906,130,622,759,434,484,086,190,364,879,
458,618,443,198,016,654,292,211,914,475,390,680,256,695,494,419,474,011,362,
585,275,927,651,767,067,790,203,287,168,778,004,212,905,442,180,566,853,396,
677,654,548,721,525,564,288,709,405,473,340,704,850,964,775,552,646,265,100,
624,470,992,121,750,098,000,329,087,642,582,931,455,311,526,135,486,475,387,
959,898,752,620,030,663,643,170,484,255,799,522,466,411,185,743,625,581,977,
089,105,790,023,121,313,760,255,208,862,594,916,723,163,283,420,975,211,593,
932,496,333,739,665,929,676,230,188,292,731,787,064,215,249,117,008,551,855,
462,787,228,159,132,936,950,844,044,744,876,708,290,270,633,351,405,067,355,
948,252,905,925,604,682,888,628,482,430,801,427,319,144,700,303,148,710,182,
861,415,131,248,244,298,371,708,594,423,928,689,784,022,298,488,836,251,852,
374,160,003,387,405,331,396,645,193,594,751,764,498,921,990,908,703,123,511,
082,347,316,972,647,414,626,416,135,300,215,228,658,146,629,950,025,450,377,
398,304,229,266,549,651,638,112,937,848,575,112,297,946,426,438,412,745,159,
980,480,302,605,099,271,832,410,647,403,485,199,055,898,923,478,021,871,441,
439,496,316,763,962,176,041,725,209,715,370,055,881,895,178,158,154,180,593,
593,421,911,453,878,245,358,435,721,772,821,041,464,620,628,259,651,002,906,
034,462,170,081,695,180,918,008,818,927,641,729,364,786,602,066,263,956,682,
718,603,137,402,168,281,291,202,134,377,345,459,637,296,296,916,051,952,624,
638,433,642,926,047,373,102,390,581,733,698,902,178,916,561,865,880,882,030,
244,692,488,462,450,165,956,486,790,004,028,410,660,798,585,454,946,206,025,
243,003,544,049,282,901,466,317,526,300,489,072,167,232,106,712,290,192,628,
181,841,659,260,646,472,918,191,526,416,018,752,932,128,006,982,354,730,967,
293,068,868,063,443,239,595,120,897,421,681,760,859,630,511,560,508,241,980,
812,719,998,485,265,744,081,135,957,884,400,316,363,880,786,122,820,277,972,
200,051,706,428,963,766,720,627,926,721,420,819,838,370,382,575,897,504,126,
851,757,347,601,302,665,276,949,462,566,836,177,506,298,308,904,602,241,091,
220,250,413,683,646,812,453,085,885,464,473,645,677,035,472,191,922,325,302,
747,985,669,551,834,421,944,836,727,828,916,946,841,515,411,476,231,685,113,
147,061,742,689,634,745,575,819,443,516,808,521,451,319,288,971,658,027,418,
014,335,953,465,763,176,285,812,623,856,892,293,058,722,182,675,814,618,056,
265,156,001,247,634,504,663,351,132,835,813,699,500,262,759,434,401,651,652,
313,949,325,157,744,547,962,733,634,434,338,306,979,946,634,542,244,852,680,
773,034,187,349,647,374,078,203,397,469,047,643,006,169,786,451,272,425,201,
718,451,710,916,656,552,543,028,576,674,602,591,044,211,521,028,894,340,997,
896,178,366,156,269,832,516,711,412,739,200,181,323,388,978,659,924,458,164,
507,489,342,126,534,022,512,533,516,917,658,742,895,362,508,246,978,649,172,
547,940,366,641,201,695,686,459,154,626,137,646,763,853,352,084,534,597,145,
991,434,929,479,546,558,189,447,983,732,985,449,180,822,911,777,316,831,697,
244,958,203,205,419,389,726,086,093,668,066,718,622,029,302,664,900,723,245,
033,593,013,500,757,731,375,741,929,033,588,367,766,880,189,475,749,602,338,
940,099,923,451,429,259,644,489,365,129,358,387,515,067,096,540,062,002,532,
676,112,658,592,831,154,258,804,837,174,373,914,302,620,989,572,902,000,424,
992,777,506,294,005,238,104,061,114,856,194,629,579,760,257,087,969,520,801,
008,674,829,649,532,242,704,859,053,256,737,595,027,796,194,120,549,267,928,
596,590,284,770,711,042,656,218,444,518,261,035,235,645,915,581,225,217,887,
534,986,697,318,840,409,174,817,519,525,152,527,441,337,502,167,567,958,521,
795,790,441,278,704,836,189,226,629,748,028,115,177,104,812,116,958,232,432,
762,236,258,034,420,047,613,931,037,839,071,482,575,027,062,318,188,809,929,
546,956,112,447,555,551,460,066,901,880,155,233,109,543,921,130,269,483,989,
335,174,806,951,329,582,897,589,944,476,663,614,842,942,540,379,460,932,736,
479,698,065,089,262,825,216,711,806,830,319,354,875,146,956,921,926,476,620,
718,043,717,305,547,697,724,308,582,788,553,076,416,950,075,924,941,623,723,
548,516,097,791,987,484,689,207,573,080,792,782,262,027,611,393,081,975,672,
551,015,483,403,853,905,354,647,901,918,095,258,137,991,417,383,415,636,196,
168,594,953,381,760,448,872,492,119,896,537,313,857,370,254,646,164,078,424,
963,048,893,107,447,434,473,268,922,760,705,911,895,510,353,570,886,415,118,
753,355,631,201,526,267,948,150,442,234,423,828,371,630,630,764,523,832,467,
063,190,441,271,720,765,082,094,178,854,901,527,206,391,380,903,399,808,556,
738,667,962,486,478,233,215,313,582,001,526,980,035,865,189,284,614,253,088,
107,285,966,391,502,449,332,611,147,489,220,716,196,560,986,332,094,248,531,
498,881,344,766,688,477,673,887,990,990,410,765,769,643,270,783,151,733,498,
986,322,445,829,632,762,856,833,721,931,568,956,242,352,124,446,580,677,272,
557,008,725,356,805,267,200,576,909,704,859,380,794,409,160,084,135,535,070,
344,168,742,807,810,230,473,276,609,523,033,866,592,230,379,645,991,492,367,
735,249,100,201,884,926,589,468,824,922,169,351,368,750,341,258,774,480,539,
273,518,657,311,036,289,395,105,245,434,861,674,811,877,057,054,500,846,970,
350,797,372,984,410,420,856,925,020,872,038,904,945,599,059,948,032,803,805,
919,709,115,801,616,339,755,731,854,704,171,237,628,172,264,954,527,433,527,
334,498,561,397,996,783,153,490,800,507,387,543,337,245,826,081,329,578,907,
130,153,596,993,541,939,001,722,438,636,059,692,253,655,429,103,054,855,069,
023,889,351,110,086,944,773,676,531,270,343,745,886,514,484,987,762,252,433,
454,447,390,821,041,059,323,060,131,829,734,166,953,960,286,174,814,607,256,
595,908,337,810,286,217,849,815,397,093,527,716,066,075,239,795,606,486,057,
412,827,089,520,315,382,609,797,966,105,627,203,369,696,732,677,965,550,199,
487,377,490,899,349,885,501,841,467,709,225,976,088,424,055,790,895,116,738,
839,064,789,777,325,631,498,319,137,884,289,293,502,381,209,088,629,848,114,
618,071,707,608,702,023,432,166,663,194,040,109,862,213,095,002,026,939,005,
823,290,852,647,743,178,173,213,721,639,583,179,841,524,905,977,522,027,227,
574,183,203,938,164,672,633,165,450,165,274,301,580,974,240,187,752,492,532,
891,966,787,409,239,362,400,984,723,100,404,094,305,057,791,991,313,569,624,
762,109,149,970,996,198,355,853,988,741,229,631,078,987,161,378,477,130,423,
537,058,938,136,438,097,736,677,514,472,535,402,814,926,280,245,276,656,868,
505,490,749,119,214,027,756,492,197,163,100,225,103,237,069,768,514,323,240,
985,431,292,200,579,340,375,874,181,689,851,324,800,316,616,690,352,181,333,
864,162,492,803,050,544,984,509,767,334,674,388,047,663,058,475,385,639,376,
809,342,570,046,990,880,435,614,098,012,459,794,851,344,250,691,466,752,820,
679,146,204,255,817,960,285,895,181,163,601,450,545,061,176,760,635,801,214,
150,921,190,552,238,998,541,602,237,935,803,769,327,507,554,389,655,638,925,
594,877,896,422,102,962,408,694,895,474,347,467,381,953,560,324,923,365,370,
708,334,112,737,572,931,355,868,384,908,641,850,657,467,117,438,182,336,553,
795,112,360,850,430,939,222,214,568,020,815,384,315,722,854,279,615,094,168,
057,795,490,255,742,306,310,024,821,311,453,147,302,256,121,978,138,935,110,
300,315,886,955,520,546,786,382,855,490,640,802,200,755,552,142,774,799,744,
433,792,608,709,355,524,400,924,913,529,526,532,385,805,134,874,281,086,759,
581,037,236,262,709,064,376,960,313,712,444,624,291,696,974,701,979,100,627,
750,713,434,088,755,543,186,713,746,485,456,821,740,397,795,593,187,074,372,
141,316,717,505,211,422,517,282,651,392,814,937,843,396,675,164,141,426,502,
723,747,396,014,544,308,051,980,418,332,809,467,842,617,781,702,210,957,513,
738,337,170,502,373,546,510,590,708,523,497,954,582,556,085,342,713,676,458,
650,560,050,817,262,177,565,688,766,379,772,178,981,897,318,809,710,389,574,
100,823,413,851,408,346,823,215,066,411,404,229,590,733,942,818,634,447,501,
368,866,329,836,764,468,053,533,735,535,438,310,837,388,782,080,119,557,901,
681,956,383,748,713,775,586,671,263,882,862,280,619,890,998,105,618,435,168,
933,763,985,676,581,495,749,228,396,748,573,956,470,815,160,036,572,073,076,
717,038,674,739,174,172,582,757,292,672,237,436,126,003,942,917,540,898,324,
928,118,205,160,291,281,256,912,677,362,730,330,059,757,435,939,015,965,728,
005,076,489,968,867,459,063,950,618,814,958,847,437,577,483,137,984,459,939,
743,809,569,314,547,592,290,939,412,026,908,423,658,610,384,003,736,706,462,
230,095,323,979,779,536,513,792,905,212,252,179,290,147,154,304,487,151,644,
653,114,295,049,625,338,375,293,784,486,971,455,358,702,930,320,717,899,777,
763,895,077,854,676,278,700,000,457,852,051,533,496,559,616,855,594,949,147,
574,737,137,971,672,274,113,988,049,931,449,640,960,434,792,717,172,701,861,
861,613,846,982,953,232,049,875,901,181,077,264,612,100,570,608,976,884,380,
689,199,575,414,934,170,730,735,436,558,431,692,396,987,564,976,826,777,307,
912,079,300,569,542,211,650,461,584,955,195,586,152,656,805,016,563,551,400,
552,618,283,332,863,056,707,286,163,209,376,095,101,378,249,253,420,082,434,
709,444,588,117,737,321,372,072,342,619,628,774,717,533,183,848,525,526,973,
432,396,460,436,220,554,379,616,064,050,894,938,750,596,285,538,673,665,388,
264,466,397,610,933,691,138,287,787,273,429,349,732,521,986,428,724,715,334,
309,827,714,512,987,266,198,392,028,036,429,178,929,510,184,194,991,065,347,
986,776,278,630,677,236,256,946,324,607,251,175,930,029,993,804,572,873,224,
364,655,568,019,288,406,435,978,042,949,114,817,032,744,719,845,584,400,642,
882,405,469,503,399,432,794,048,953,877,358,943,796,713,922,545,397,252,529,
990,218,033,884,751,779,990,637,462,877,947,764,033,893,902,947,277,304,640,
447,103,106,435,272,507,247,179,119,609,759,475,547,351,477,971,801,158,777,
764,458,521,170,053,005,721,191,859,011,970,497,190,250,755,371,946,793,191,
677,504,953,613,420,450,433,216,465,092,366,885,216,206,494,307,079,930,800,
587,992,481,493,455,964,811,298,461,266,358,172,396,638,313,576,342,509,918,
238,088,417,027,427,951,420,795,143,104,682,872,792,520,993,722,285,948,023,
531,253,233,436,352,874,443,054,716,403,826,612,645,064,675,677,573,242,166,
595,224,419,424,404,434,197,270,980,764,960,906,135,740,783,516,149,209,484,
042,717,755,256,536,763,848,313,154,843,474,727,348,417,596,986,356,105,735,
165,713,240,540,607,828,677,961,968,515,766,987,695,726,624,090,281,566,437,
027,050,970,030,807,415,581,526,269,117,643,423,025,342,666,112,022,199,866,
460,683,157,414,356,658,690,236,969,973,250,538,423,334,059,016,899,304,162,
888,014,681,695,155,798,633,215,321,734,012,932,239,366,211,395,821,587,872,
875,232,849,003,591,118,709,538,395,402,085,865,828,464,564,461,970,051,647,
037,758,968,671,115,939,740,198,884,708,032,641,129,240,169,718,844,282,084,
112,693,433,566,124,405,325,190,474,675,933,254,195,288,592,139,157,571,711,
818,881,889,142,106,976,780,502,756,672,161,173,546,992,843,426,855,761,104,
935,624,612,266,430,954,537,213,507,938,430,491,887,649,156,118,201,060,970,
183,434,497,923,368,489,680,150,441,747,877,169,965,865,973,176,722,365,810,
417,071,015,731,212,151,149,597,945,973,216,835,698,991,321,545,108,199,592,
273,058,575,916,929,992,345,871,495,647,695,524,705,173,454,564,101,037,477,
412,202,710,871,376,981,782,738,543,600,560,656,518,209,153,238,018,452,819,
035,257,314,278,942,950,732,674,765,419,837,384,589,178,284,732,966,392,568,
495,655,970,946,933,394,915,520,055,563,812,451,006,984,612,155,326,475,931,
828,731,690,825,051,874,064,900,856,603,575,305,133,679,228,128,388,035,459,
774,574,479,425,437,296,880,119,760,600,389,299,864,202,738,663,726,857,400,
228,853,850,987,903,694,500,386,759,466,424,501,707,354,950,780,508,932,191,
502,567,172,735,390,873,975,021,760,267,504,783,059,415,955,256,342,424,004,
594,596,041,936,254,736,642,829,786,459,857,979,145,011,747,924,253,533,813,
793,639,138,312,126,900,927,666,581,798,108,744,817,324,133,324,866,345,031,
724,275,018,303,421,030,197,840,798,650,401,762,134,280,195,231,029,540,219,
363,949,557,512,819,441,383,394,944,720,948,304,325,815,178,710,924,653,385,
410,515,056,867,619,055,687,990,509,086,310,864,730,305,716,745,243,717,215,
956,897,006,135,442,227,409,441,287,142,043,184,770,156,068,361,145,185,703,
873,579,840,840,580,864,437,047,446,192,551,311,391,400,674,505,091,093,450,
439,606,688,912,318,457,666,868,660,650,513,266,491,494,280,799,268,998,518,
253,072,631,654,529,477,615,125,331,995,951,471,505,303,811,442,473,949,940,
364,282,786,753,919,991,775,202,928,423,534,148,691,464,590,314,210,654,340,
261,179,413,882,309,067,538,275,011,752,790,365,577,774,412,060,350,366,321,
475,125,382,893,403,942,001,375,541,667,803,757,814,892,875,441,291,681,813,
792,741,003,235,315,925,932,110,717,798,288,258,587,951,744,299,672,048,468,
298,314,641,326,004,973,224,128,315,046,501,218,910,542,678,833,669,697,967,
440,313,903,553,119,336,301,924,284,799,997,714,746,649,309,393,761,538,001,
089,015,250,698,920,367,480,286,915,310,188,988,427,150,160,542,624,694,562,
223,292,913,214,882,221,865,742,106,320,651,318,659,437,362,552,641,426,204,
744,372,891,034,630,484,077,803,879,487,640,640,508,101,906,721,339,066,752,
779,073,890,060,197,526,818,878,815,100,140,253,533,902,151,771,853,532,591,
966,487,712,069,639,057,808,657,925,828,249,909,690,890,342,103,689,719,656,
248,291,179,282,162,417,905,564,372,038,755,358,441,060,211,542,700,780,547,
746,566,345,691,547,498,070,640,911,925,712,191,892,973,022,540,489,001,188,
093,269,360,835,537,182,499,595,653,668,379,122,599,155,775,280,494,203,253,
334,652,216,368,417,164,150,806,875,564,766,465,481,923,647,988,165,642,647,
869,227,695,153,970,661,503,041,117,969,132,909,932,421,974,033,282,578,492,
090,348,392,715,234,685,306,919,207,896,832,217,691,064,094,025,208,364,066,
671,659,194,162,019,832,883,999,215,887,239,723,706,862,677,784,214,649,706,
749,831,535,826,351,839,154,215,320,834,822,447,303,291,913,247,095,696,995,
125,977,706,455,932,890,798,274,229,994,153,079,987,810,537,166,089,146,984,
014,671,624,624,622,131,604,389,211,461,795,298,714,564,967,706,223,695,379,
696,608,679,350,121,944,934,223,737,625,248,332,814,315,620,920,084,115,160,
105,000,458,042,617,249,995,002,936,725,516,623,493,023,490,718,574,730,838,
257,146,263,318,135,423,166,140,846,416,176,246,773,844,252,321,764,203,645,
658,791,583,894,001,464,284,950,357,959,057,315,291,716,151,997,878,468,161,
551,832,521,033,299,860,156,839,299,894,904,328,191,665,199,201,518,445,622,
541,019,925,889,786,712,769,659,274,560,155,912,414,869,996,243,059,308,042,
946,281,427,723,120,388,636,274,562,859,123,992,906,854,149,015,268,151,479,
880,396,314,717,603,465,811,216,019,825,517,830,008,861,806,666,819,576,696,
394,910,743,980,987,790,227,118,633,235,145,647,708,102,942,836,566,357,754,
348,908,552,907,548,146,375,030,434,261,231,924,961,236,096,510,274,375,636,
007,403,025,870,017,749,720,308,148,354,475,436,854,838,053,714,140,477,990,
094,817,385,416,170,230,634,365,352,801,223,276,548,456,806,846,368,346,926,
839,340,538,647,412,115,895,258,948,935,428,999,658,165,486,552,450,377,880,
295,230,799,106,285,606,980,173,414,688,646,482,438,781,549,220,864,730,623,
630,608,119,966,614,560,507,523,030,754,109,559,215,761,869,138,784,506,036,
237,787,055,727,804,944,229,458,571,871,443,139,125,443,182,234,543,358,867,
168,318,118,234,790,132,466,562,146,641,196,681,230,464,283,461,520,010,290,
297,406,231,258,067,312,287,241,522,597,666,398,634,825,787,342,010,802,029,
762,779,925,892,200,225,559,420,987,086,668,763,367,640,245,042,649,838,097,
766,985,376,753,793,625,056,137,112,973,316,123,689,039,639,889,271,212,622,
814,548,480,113,073,127,312,001,959,261,041,780,372,365,413,217,451,915,614,
786,119,224,596,814,037,728,726,640,999,278,108,059,217,047,732,223,555,577,
265,655,556,252,330,035,410,211,925,429,667,394,848,202,267,220,300,367,989,
545,666,779,860,340,735,894,462,134,223,685,233,431,459,910,653,623,419,108,
577,303,872,144,916,028,713,980,216,600,951,489,496,557,156,438,215,927,550,
663,770,290,845,577,221,738,736,182,205,845,996,437,702,578,116,108,223,941,
699,120,375,215,446,838,326,498,923,174,339,566,579,631,670,276,332,549,607,
049,003,510,635,408,316,867,917,249,875,600,590,503,481,671,070,663,414,358,
853,207,973,614,661,235,312,442,255,842,327,689,900,921,910,772,911,420,256,
060,806,317,560,081,938,322,866,264,179,237,925,185,199,721,136,085,126,996,
318,273,807,399,906,016,199,285,034,198,333,021,807,451,855,307,574,982,365,
509,603,636,337,664,532,935,748,984,612,594,232,246,988,164,266,423,075,285,
739,945,017,807,502,708,575,219,816,783,405,919,442,956,814,398,346,751,176,
494,185,106,878,691,691,843,554,165,624,122,733,553,520,073,966,506,910,642,
150,890,896,870,485,168,756,855,257,664,478,904,028,425,754,415,613,714,173,
609,429,626,560,555,918,189,185,390,689,752,721,279,052,345,358,151,039,130,
049,913,956,084,043,957,441,455,621,245,931,200,368,993,184,910,239,506,488,
368,845,155,958,758,580,301,607,154,952,440,557,882,268,290,705,893,141,567,
737,055,886,670,905,559,591,280,723,727,069,772,219,967,862,907,842,968,322,
120,270,079,215,591,203,264,485,699,202,365,195,567,321,870,102,717,571,156,
901,218,433,913,948,171,911,998,457,876,680,648,292,631,464,183,216,532,375,
181,664,893,050,235,456,543,299,068,204,777,663,658,552,410,370,811,627,128,
989,040,901,118,227,240,364,447,369,809,214,044,181,368,352,154,324,142,647,
188,179,903,276,594,753,831,171,568,531,622,548,344,973,102,201,638,699,779,
754,453,088,378,399,879,992,914,635,532,791,225,172,574,361,872,682,645,126,
449,158,670,304,296,153,455,473,183,410,670,686,338,248,860,357,996,787,067,
511,134,423,195,201,159,428,812,879,651,857,418,396,741,368,574,082,230,887,
125,250,263,395,166,066,682,142,971,976,471,957,725,064,953,315,525,134,841,
032,772,752,247,595,866,535,134,034,814,761,568,395,811,305,442,047,249,846,
021,399,543,980,043,710,978,502,008,601,844,591,445,785,891,969,129,507,951,
115,124,788,969,477,994,209,949,646,141,280,314,955,966,098,544,314,766,780,
673,040,504,462,891,467,576,072,459,603,100,403,070,639,512,901,153,959,146,
509,262,005,344,359,590,768,295,687,518,650,194,197,138,757,541,944,340,502,
479,802,170,746,803,303,804,138,494,147,220,340,577,423,592,875,002,766,859,
579,579,155,958,543,365,501,144,097,202,790,451,794,436,157,920,358,678,448,
235,042,462,774,925,298,493,618,535,882,287,995,458,180,886,226,683,268,709,
304,748,668,610,636,201,197,084,884,849,182,198,143,539,258,310,057,615,501,
453,140,799,503,988,715,129,198,027,916,560,036,492,880,469,347,405,686,492,
013,134,638,539,410,665,341,882,885,713,215,347,257,810,206,577,312,759,616,
366,424,748,712,674,576,624,942,780,713,147,683,850,999,943,078,690,194,125,
654,771,049,287,738,485,751,868,835,798,067,946,317,467,957,869,259,787,775,
591,993,682,356,947,567,942,499,699,442,230,550,015,317,085,351,489,411,125,
059,346,218,901,076,522,719,573,067,606,637,261,601,223,248,986,003,502,307,
302,793,734,752,948,348,962,037,926,931,172,824,765,054,576,623,064,414,087,
770,717,818,633,496,621,906,507,260,111,514,821,139,672,401,426,472,013,446,
990,826,395,378,155,823,029,868,899,328,818,134,384,959,805,544,189,765,975,
629,491,290,270,893,567,208,055,052,190,821,385,532,391,144,839,917,836,332,
544,452,283,690,433,099,064,723,359,026,524,213,328,004,159,202,450,284,626,
707,155,408,851,985,891,207,586,039,526,966,600,553,167,324,240,484,277,306,
266,157,574,355,131,832,363,294,533,715,226,297,920,215,187,546,616,261,504,
673,033,096,672,714,883,270,509,396,333,206,375,504,468,012,920,686,917,707,
599,408,826,321,140,938,684,714,137,966,690,764,183,363,557,936,135,501,995,
284,201,111,823,766,374,536,732,695,314,289,238,539,883,834,566,677,373,030,
271,666,705,438,154,101,753,354,372,871,182,588,104,410,243,943,571,262,310,
729,097,021,040,637,751,742,818,441,131,566,834,577,161,359,689,051,099,846,
923,910,595,905,737,439,585,687,530,349,533,057,438,183,161,736,536,545,951,
152,245,800,979,987,718,931,029,138,710,402,154,649,312,556,303,177,293,727,
635,603,532,056,634,613,469,806,384,973,665,759,550,763,273,007,975,318,620,
017,397,202,572,187,305,540,979,616,368,518,158,056,963,196,708,431,730,044,
494,732,824,074,564,570,228,704,192,480,433,151,622,817,900,610,943,232,596,
919,086,802,308,111,830,452,478,372,514,240,696,397,354,555,881,869,824,481,
635,569,301,684,803,709,579,011,525,085,157,221,817,850,743,707,682,828,574,
226,463,864,363,887,353,769,966,414,076,761,292,733,480,623,371,873,760,156,
012,937,608,769,347,825,683,631,926,501,969,504,660,247,483,770,744,684,333,
436,774,692,397,964,026,905,674,139,055,469,190,649,541,821,474,670,782,207,
854,377,258,612,119,421,274,020,230,783,455,903,920,101,540,635,484,306,005,
140,902,548,627,283,055,265,788,450,768,618,818,373,940,888,373,971,514,834,
181,904,483,449,558,860,405,290,639,847,853,562,160,435,715,462,327,490,748,
792,168,143,582,688,223,324,902,803,066,934,208,429,034,684,837,290,982,130,
195,470,827,137,551,734,139,178,545,440,135,276,855,598,257,705,413,062,110,
182,976,093,961,485,434,182,914,961,447,085,848,215,632,342,840,518,207,850,
450,361,364,518,714,249,464,835,688,819,155,391,091,176,806,155,494,162,062,
783,608,981,241,665,246,177,103,189,970,920,551,238,141,183,395,108,112,615,
004,190,285,719,616,072,522,063,738,796,680,713,641,218,457,531,729,122,890,
705,220,044,728,646,826,416,781,212,624,134,837,924,394,108,631,389,835,888,
913,996,085,828,405,476,227,464,083,272,810,373,288,677,890,843,826,210,058,
213,205,433,530,724,849,484,089,978,881,296,505,840,256,020,364,555,365,653,
719,991,801,546,323,138,564,835,206,881,708,362,316,563,060,294,368,687,576,
687,536,642,473,895,201,740,743,147,193,483,089,912,600,933,885,746,832,712,
439,153,073,137,476,556,504,333,831,175,971,045,830,721,801,833,392,094,527,
784,359,688,552,285,623,764,862,155,732,357,048,272,399,126,803,685,818,221,
901,658,253,651,482,724,387,992,233,764,113,442,540,568,066,974,540,361,347,
703,299,240,949,265,897,711,807,518,046,325,180,546,179,865,103,953,166,310,
156,081,549,087,118,047,619,595,993,511,735,639,142,104,403,646,801,880,677,
352,533,196,055,812,056,073,526,709,138,859,928,166,630,197,389,399,768,623,
259,715,223,435,964,069,077,433,799,521,427,094,911,728,267,011,743,133,943,
447,221,210,906,909,674,260,157,359,771,780,987,073,881,154,037,893,985,885,
592,903,588,375,959,498,191,683,936,829,394,505,785,897,233,171,465,419,749,
018,402,285,478,918,919,075,443,980,172,363,974,589,068,623,981,798,533,580,
147,662,727,039,529,814,967,492,033,087,398,201,776,659,803,405,454,631,570,
557,451,752,416,236,081,839,588,011,717,174,131,432,025,927,647,111,542,812,
998,813,818,236,942,697,011,955,676,683,071,918,785,726,841,863,966,170,435,
081,950,906,859,068,418,122,831,738,930,745,257,758,827,093,597,518,244,346,
743,144,612,732,191,687,091,811,899,762,946,560,685,927,916,859,560,947,734,
332,856,708,064,037,478,768,603,993,186,688,659,755,439,978,621,103,428,691,
037,422,757,072,810,978,295,336,074,496,438,433,375,762,040,732,724,625,893,
585,184,296,637,829,720,092,823,968,957,916,220,290,984,815,334,997,306,697,
701,247,864,652,005,514,365,473,983,437,324,563,138,777,732,671,736,490,170,
520,394,287,059,426,172,385,200,019,007,527,059,466,685,636,662,265,132,425,
775,786,582,158,422,953,601,804,168,560,140,472,987,429,441,456,234,928,824,
176,273,309,039,040,241,589,569,926,291,580,434,513,913,416,712,266,478,894,
071,838,229,245,504,040,716,192,359,897,398,626,948,601,467,458,753,333,037,
561,976,526,584,417,668,064,355,065,369,235,960,966,134,158,695,681,960,741,
097,331,083,984,977,060,186,257,432,864,789,899,231,236,187,999,172,891,958,
932,575,187,935,715,170,990,021,712,106,294,625,031,300,465,821,156,288,569,
240,539,235,912,275,885,085,338,966,597,026,431,486,293,337,334,320,926,847,
620,356,472,588,468,689,010,534,232,866,986,473,468,918,578,824,041,681,361,
140,843,182,414,209,248,431,430,048,494,266,050,606,700,908,006,045,487,866,
462,479,185,087,161,851,985,405,605,954,889,364,742,091,851,997,264,394,553,
100,675,328,893,274,763,776,227,646,880,894,271,713,995,361,009,119,536,406,
427,261,759,784,434,632,128,912,097,256,771,984,419,187,211,838,366,461,808,
773,095,707,810,318,639,937,864,576,447,153,981,859,793,576,874,167,279,887,
518,555,807,344,616,952,370,719,415,790,380,564,574,920,570,526,168,878,317,
939,703,285,326,546,046,597,386,407,220,862,892,541,975,904,599,449,212,837,
782,730,015,286,956,912,862,329,929,769,640,290,634,069,477,682,258,250,436,
653,318,839,055,281,436,401,386,481,041,682,346,598,806,956,586,052,358,795,
532,004,477,278,253,258,993,665,679,838,812,779,453,603,242,201,169,707,335,
768,336,101,238,782,502,546,003,372,488,111,740,509,436,761,104,735,546,124,
792,377,682,736,110,979,627,753,372,818,854,228,067,823,898,257,044,348,397,
296,326,453,048,578,360,320,868,842,410,119,510,743,207,960,852,045,446,078,
893,670,845,191,372,531,925,366,376,614,662,021,204,166,012,555,255,511,170,
448,358,993,949,776,170,204,960,957,674,196,757,427,090,771,688,104,137,403,
993,086,345,714,040,619,157,747,845,024,540,040,204,585,177,221,095,258,223,
465,844,317,725,466,777,304,733,223,503,855,043,300,355,974,240,402,310,898,
252,811,249,538,656,624,850,155,929,132,629,761,555,922,004,576,762,071,411,
175,957,505,352,798,187,283,531,290,931,997,233,086,938,722,356,183,787,005,
061,976,420,400,484,273,894,134,767,679,623,257,839,916,670,643,478,473,727,
681,892,763,163,639,152,754,376,683,000,917,726,882,125,485,223,622,943,887,
116,530,644,238,152,334,370,000,124,430,688,744,882,063,388,020,703,567,884,
375,420,924,462,414,132,808,931,322,683,408,113,494,412,178,194,146,444,615,
831,538,442,401,059,068,841,280,636,527,291,108,198,158,096,578,571,109,257,
216,790,084,721,366,360,142,526,481,267,798,527,447,303,706,569,504,601,376,
043,653,445,405,636,917,432,092,146,246,358,252,566,189,707,688,250,368,400,
949,441,812,181,470,155,316,072,550,082,070,532,662,179,457,346,274,448,967,
684,139,644,124,380,244,719,289,720,687,558,636,697,116,878,494,961,993,554,
491,057,101,440,196,221,312,885,207,247,284,664,891,434,596,737,206,849,250,
317,432,367,090,819,166,547,358,560,920,148,418,298,741,204,609,178,516,586,
369,026,951,725,098,224,035,710,476,924,400,297,740,721,354,947,074,237,611,
627,227,704,809,093,924,556,728,900,716,258,291,590,493,571,243,237,812,504,
911,463,190,047,517,933,344,201,945,531,564,924,126,967,744,705,947,556,011,
278,297,175,586,043,745,098,477,553,437,386,417,369,782,121,492,103,078,231,
220,033,767,172,108,851,203,794,239,220,544,727,324,376,302,030,829,989,115,
541,364,286,644,618,872,527,388,535,542,474,137,064,037,040,381,260,048,323,
214,887,217,370,763,964,166,746,959,295,889,182,620,862,573,175,360,171,557,
032,092,028,978,650,452,925,904,307,016,054,014,704,253,943,394,417,894,117,
557,578,873,873,604,337,880,445,488,930,790,442,062,223,063,112,782,662,876,
895,336,718,566,360,637,258,360,474,087,049,048,720,746,193,235,404,417,351,
039,025,658,713,254,031,103,636,103,856,025,865,074,916,104,373,591,253,124,
640,074,097,311,589,157,420,086,698,274,958,651,905,081,602,739,039,113,119,
410,304,103,383,457,257,881,149,560,400,820,498,216,862,413,956,617,207,324,
377,255,505,928,998,154,341,348,604,706,060,195,508,158,087,445,116,841,430,
831,243,936,243,811,597,239,298,750,123,190,551,982,996,203,207,729,662,083,
051,045,071,683,818,811,857,829,301,842,512,817,401,895,041,132,706,375,079,
092,819,144,381,999,075,287,411,828,781,879,796,484,571,127,881,141,661,445,
095,625,851,432,099,654,934,995,492,252,757,436,979,902,903,668,772,671,279,
554,880,755,932,340,487,416,676,390,676,390,456,379,477,125,814,883,482,939,
355,279,385,108,396,908,893,890,310,455,142,571,632,820,494,207,705,237,593,
030,540,891,088,870,047,809,786,400,530,828,889,710,299,469,637,433,305,702,
505,522,328,931,019,841,425,536,192,014,949,237,029,875,367,209,488,725,115,
666,570,179,409,068,763,925,713,149,241,922,249,324,791,630,305,585,583,682,
462,331,239,588,676,383,626,335,545,306,934,024,943,572,452,509,578,877,440,
908,098,924,026,876,693,450,934,934,054,031,449,442,110,894,244,085,866,975,
841,845,369,982,712,408,961,061,641,855,741,869,680,592,189,767,290,887,866,
784,930,526,077,103,524,262,796,555,029,333,157,739,253,772,101,160,522,034,
120,597,404,901,420,617,310,734,941,782,649,021,974,794,561,857,896,552,459,
910,273,093,541,267,586,929,185,634,025,863,337,687,606,208,902,249,077,133,
288,982,695,716,329,375,602,247,318,031,801,956,629,279,352,281,678,751,669,
071,331,220,979,366,680,901,243,745,032,420,434,569,585,725,363,134,450,367,
560,141,254,941,709,767,188,015,688,981,798,689,409,620,155,881,724,506,459,
127,784,439,048,979,861,960,109,374,340,319,349,064,837,248,081,220,633,192,
716,857,144,815,891,202,307,431,540,582,365,950,576,329,054,523,064,847,144,
855,430,578,622,441,029,684,199,134,342,566,125,821,721,721,380,990,011,889,
502,989,522,418,302,368,142,697,357,166,803,519,180,547,326,575,971,150,653,
337,356,326,096,938,059,436,647,293,882,432,409,710,186,461,447,156,010,418,
175,651,337,294,635,395,181,015,981,615,958,577,785,831,272,230,327,777,629,
892,711,711,644,551,651,612,808,237,368,011,501,028,667,527,287,292,456,278,
924,678,755,578,184,941,961,294,169,671,123,885,387,813,320,266,741,553,507,
452,677,589,327,213,578,399,231,620,554,350,731,814,529,628,619,139,423,229,
566,579,411,681,880,322,996,253,043,455,697,814,065,083,722,858,632,999,116,
024,623,858,815,429,509,820,380,728,076,910,785,675,519,013,437,229,560,401,
450,373,980,053,614,473,587,880,082,067,758,174,688,157,327,105,002,124,410,
659,749,812,861,643,346,587,809,522,389,333,822,000,322,972,297,107,774,288,
148,085,477,107,253,044,041,849,414,394,945,069,841,210,117,745,145,422,144,
993,949,420,268,794,478,457,328,374,024,625,204,996,767,714,592,195,301,774,
791,559,384,471,523,855,797,620,933,375,832,212,748,145,169,902,125,867,780,
102,321,644,903,557,830,653,864,243,177,646,995,405,366,933,114,890,776,365,
139,057,011,186,912,113,969,207,102,269,274,187,044,617,262,405,717,158,542,
478,867,126,393,262,254,899,624,772,939,784,383,353,907,065,238,307,214,848,
222,795,079,821,193,730,710,382,351,734,949,867,835,652,773,008,454,542,775,
420,102,532,318,875,212,041,115,272,806,754,364,729,480,901,694,824,150,078,
912,155,822,654,718,752,546,393,563,578,547,843,272,189,983,710,571,088,184,
787,529,556,123,056,187,145,189,060,897,601,848,161,679,945,776,463,454,252,
018,837,541,295,907,517,607,903,153,347,038,221,634,745,570,253,125,725,705,
138,956,467,684,013,334,895,944,737,918,119,696,138,376,701,766,469,069,250,
377,382,824,604,442,416,961,036,388,894,837,367,449,429,430,135,437,228,295,
773,228,049,175,017,141,076,345,638,853,073,727,331,655,761,500,957,127,941,
254,347,131,312,840,770,340,646,509,856,281,889,552,760,448,355,626,214,692,
801,964,705,772,688,480,530,507,855,680,367,000,665,278,950,132,489,914,675,
813,111,241,131,325,082,222,003,904,795,978,278,841,431,076,772,032,234,105,
766,037,392,473,661,052,845,351,503,007,702,083,998,777,638,154,117,778,852,
924,799,000,311,269,216,735,322,125,887,511,636,386,764,187,457,207,268,398,
921,845,701,009,409,471,970,569,145,395,902,629,806,959,143,360,979,008,866,
847,400,699,777,387,837,196,317,655,248,253,931,712,475,646,950,309,891,606,
811,034,849,226,636,749,134,262,067,875,388,977,338,942,282,513,422,016,552,
534,900,127,047,421,037,896,572,216,960,862,477,011,902,390,219,041,472,116,
844,788,445,501,738,270,769,031,046,683,544,292,041,490,799,622,674,294,283,
502,429,582,811,514,046,834,538,231,833,757,942,242,942,616,828,217,185,651,
024,934,857,031,648,565,151,005,841,833,014,944,600,415,599,307,137,391,672,
426,574,806,194,122,390,479,588,241,753,837,621,052,605,007,162,461,825,082,
517,598,881,417,688,942,120,179,606,621,115,216,030,150,011,246,415,310,585,
257,027,953,165,368,143,770,854,416,116,791,308,087,547,444,443,138,988,630,
967,784,019,442,470,452,483,405,658,996,545,789,288,048,046,347,497,536,780,
883,987,731,381,035,893,478,913,372,626,254,202,676,302,057,531,022,895,413,
725,677,789,170,711,967,342,362,166,212,881,128,747,380,053,748,027,041,914,
692,256,310,892,574,051,176,634,696,718,672,945,445,778,989,549,856,872,008,
774,393,978,811,947,064,089,306,408,127,322,802,664,107,498,184,507,838,224,
354,813,081,563,513,649,461,497,425,833,065,685,217,781,849,027,381,897,617,
002,331,445,894,153,783,416,424,450,850,952,176,368,484,877,626,298,518,346,
098,569,054,157,260,797,050,960,344,312,713,031,643,180,556,768,959,522,272,
085,372,133,531,219,497,607,323,962,906,545,857,854,236,438,905,313,879,680,
694,064,543,211,137,953,259,874,479,245,634,550,901,319,456,251,833,820,455,
269,289,862,576,730,017,854,491,933,882,449,783,306,478,467,920,732,117,158,
692,793,259,214,795,879,605,170,887,206,797,621,999,057,870,080,205,590,668,
469,004,362,517,115,677,860,114,055,378,987,005,700,109,895,232,759,264,809,
833,063,022,598,032,020,376,256,001,388,208,955,535,523,840,028,828,240,881,
658,270,696,277,062,493,661,277,754,976,907,063,504,727,480,406,211,149,020,
372,216,050,437,978,529,080,893,240,959,088,080,011,340,547,329,758,442,853,
659,885,623,708,595,248,084,991,633,383,675,979,017,234,349,894,452,572,841,
027,707,780,089,343,656,097,454,676,602,795,881,526,893,087,493,566,686,120,
515,682,260,505,357,670,410,707,913,461,432,411,229,791,581,049,852,552,847,
982,627,681,105,452,270,074,039,219,269,915,771,521,452,879,798,280,381,397,
587,363,829,233,248,560,380,495,867,415,829,333,686,416,314,588,183,037,908,
443,563,491,650,877,936,876,461,410,049,493,384,511,590,298,852,218,667,772,
766,771,751,860,417,902,500,255,718,616,862,295,847,781,474,740,058,532,912,
818,068,358,690,912,449,348,670,291,014,105,886,366,832,740,278,277,681,078,
128,210,541,148,306,275,198,065,843,179,900,315,748,959,821,362,557,385,784,
102,025,254,995,058,681,446,187,590,938,413,583,873,350,818,172,464,793,024,
431,657,622,857,938,868,869,027,298,676,832,697,857,280,039,474,358,237,982,
197,497,382,615,985,905,293,913,816,399,101,655,953,227,189,900,767,115,115,
416,531,462,485,382,784,196,435,252,027,090,194,705,961,278,019,428,103,698,
938,928,472,484,687,048,827,105,750,566,914,963,738,749,315,332,570,291,988,
858,706,143,918,975,653,861,940,094,516,738,087,167,791,450,155,322,972,554,
606,554,572,031,367,089,925,844,090,461,633,586,861,856,557,287,099,618,786,
703,697,109,030,044,435,701,351,422,799,324,721,393,609,924,056,223,013,617,
719,699,261,261,969,210,506,136,273,933,901,346,554,927,822,239,060,271,018,
448,561,647,616,771,306,002,202,006,790,563,018,604,719,116,977,474,400,354,
518,351,728,602,713,158,200,330,095,579,463,292,896,960,541,323,203,401,124,
598,710,378,519,916,110,289,235,194,742,582,382,422,736,115,286,808,433,048,
687,529,852,681,358,257,235,250,981,361,637,878,158,801,154,139,923,480,120,
618,643,968,178,042,130,901,966,586,455,107,665,343,610,954,954,696,204,771,
400,037,228,797,743,979,704,899,257,839,161,581,686,226,980,073,018,159,153,
652,421,360,801,689,431,954,642,805,090,611,894,226,693,498,328,399,146,329,
660,964,716,851,320,336,536,532,094,162,522,423,678,973,087,286,431,462,049,
791,552,281,188,439,070,003,935,556,472,831,735,331,094,382,517,566,641,666,
604,662,074,435,196,250,854,049,387,470,888,960,075,099,980,939,334,224,573,
635,688,943,055,770,457,033,913,722,032,330,642,132,212,738,647,044,255,446,
542,068,737,103,979,654,211,392,968,787,953,627,192,849,761,747,596,528,182,
776,295,227,098,606,594,439,507,329,741,199,651,601,530,494,715,851,595,894,
107,395,427,167,301,352,656,964,779,301,013,612,656,110,171,776,184,776,788,
039,708,025,651,218,752,756,900,284,796,479,383,881,244,010,428,084,995,361,
664,600,166,163,562,232,017,576,644,583,427,911,896,816,785,361,463,200,851,
243,154,774,391,810,288,865,490,950,424,840,164,847,313,871,703,336,065,426,
018,233,709,994,064,534,108,862,374,153,085,620,187,491,975,188,318,074,438,
976,432,989,155,645,867,352,383,487,906,393,166,526,192,489,557,881,761,167,
696,619,818,322,853,566,301,274,511,416,000,509,434,244,726,047,781,282,441,
856,794,670,377,834,081,947,918,815,159,062,555,211,049,088,657,056,720,194,
355,632,414,743,870,203,716,916,234,792,147,437,870,668,418,612,011,924,164,
755,450,409,004,151,026,284,645,699,508,207,034,181,569,348,018,354,254,346,
099,968,019,263,021,615,504,223,672,517,389,162,164,885,152,605,862,444,781,
632,487,199,793,699,364,811,916,918,381,035,813,525,425,975,022,591,744,426,
345,950,367,724,485,770,499,568,767,085,654,873,570,989,982,165,879,777,816,
913,374,352,831,610,629,430,549,346,696,389,351,819,780,188,269,403,966,987,
426,342,494,712,349,325,076,320,115,705,791,152,205,009,065,156,737,590,842,
455,290,470,909,981,221,058,883,546,174,486,830,716,208,288,577,331,686,608,
241,023,705,746,979,997,682,684,112,103,328,435,067,240,737,414,997,355,883,
430,725,773,577,771,926,837,001,461,677,220,154,051,053,778,949,824,601,748,
671,856,291,204,626,871,272,076,354,376,262,372,576,353,780,306,318,323,392,
320,744,005,426,530,223,460,952,654,953,688,476,169,682,950,463,774,546,656,
707,278,728,879,780,535,249,079,065,264,194,163,133,685,192,279,742,153,547,
596,323,031,783,360,313,556,122,705,533,201,655,030,001,258,677,430,033,905,
194,828,125,688,534,941,983,290,536,604,030,414,200,751,192,920,584,801,120,
568,346,869,251,757,961,568,300,824,800,352,268,478,139,379,691,626,469,321,
655,099,380,420,985,013,488,001,107,695,820,981,394,406,069,369,738,247,425,
929,678,696,081,411,904,957,131,046,074,506,704,652,792,504,976,163,391,016,
720,801,725,593,855,883,823,935,451,509,955,159,397,416,651,399,256,827,659,
350,858,140,684,344,239,216,319,504,595,239,544,007,667,911,943,648,293,548,
688,285,436,428,924,977,028,316,419,694,474,672,861,362,937,264,424,246,689,
316,683,519,225,810,189,540,844,173,598,988,315,565,469,206,973,183,406,352,
248,443,171,069,944,660,531,196,368,153,970,994,478,952,402,546,477,534,206,
412,245,321,104,367,093,752,360,656,679,960,132,219,172,093,095,472,360,874,
885,913,001,793,264,295,548,412,619,913,215,632,364,447,903,327,668,567,085,
652,130,117,346,036,222,818,381,701,198,918,549,524,597,972,135,934,944,262,
644,980,929,765,767,499,585,149,967,604,071,170,132,300,298,519,528,959,814,
899,956,156,432,545,581,283,472,262,215,037,432,020,607,914,456,973,512,947,
063,753,481,785,965,230,367,093,421,331,974,975,929,802,632,254,540,749,596,
024,538,537,399,202,187,294,322,017,591,979,171,192,515,454,041,599,483,003,
937,697,191,148,744,296,748,201,790,348,772,815,438,591,883,474,586,123,661,
753,136,479,993,657,602,386,666,803,591,978,529,253,708,945,021,807,342,256,
671,552,491,977,300,151,791,599,113,643,815,074,265,090,714,366,221,767,425,
469,344,867,333,389,146,824,894,762,400,236,181,812,426,958,220,001,829,115,
626,245,842,262,746,457,978,472,206,915,463,659,373,185,975,625,940,026,647,
553,429,587,310,167,439,055,443,223,273,316,954,508,695,666,773,757,407,851,
322,407,481,664,301,348,734,132,251,196,992,849,504,886,193,266,828,621,528,
513,468,220,208,205,037,319,051,462,297,188,292,065,154,931,861,496,901,940,
976,526,610,658,893,169,178,216,244,491,091,444,274,211,938,814,593,220,933,
479,906,853,785,837,546,587,776,086,904,154,905,599,546,205,728,276,382,325,
444,162,824,935,121,306,582,894,286,555,907,284,759,224,642,433,071,793,949,
812,344,461,673,567,890,876,571,897,329,246,993,028,911,301,533,033,584,791,
776,092,332,984,937,513,801,123,730,346,663,958,433,698,384,185,455,190,346,
031,974,159,740,928,070,350,056,164,018,272,249,623,146,501,710,179,925,680,
319,846,422,548,177,022,760,537,341,276,681,859,009,108,764,324,169,576,194,
919,173,969,852,094,577,049,416,256,538,233,017,602,923,493,329,518,730,158,
511,489,561,600,302,959,526,414,730,841,244,171,361,285,392,544,083,835,427,
532,084,990,357,038,612,426,534,243,355,091,387,225,925,981,298,388,250,882,
383,105,194,832,485,419,754,028,499,325,645,964,941,927,698,337,314,540,666,
073,499,875,864,564,395,679,364,755,211,111,254,387,840,430,680,762,336,297,
648,486,466,466,622,362,144,753,054,613,678,011,925,497,943,740,876,631,852,
392,002,377,159,067,110,703,495,682,974,445,876,848,239,209,015,441,199,641,
935,983,823,888,618,352,522,198,515,441,682,840,131,268,336,716,008,650,609,
409,817,685,572,734,341,657,155,591,802,787,132,175,971,272,819,153,992,314,
338,750,127,221,571,542,937,569,755,900,450,955,764,617,756,206,932,673,274,
763,277,248,947,797,529,835,608,036,660,199,699,878,709,147,354,595,613,385,
032,397,588,787,328,963,525,698,662,453,766,158,752,883,137,425,773,516,196,
298,893,090,139,080,845,026,484,512,029,492,107,737,786,573,580,573,314,406,
545,724,841,762,585,253,626,858,025,526,013,810,069,493,398,127,806,651,557,
612,137,570,284,931,265,813,110,200,974,372,279,931,826,785,930,101,232,560,
523,860,675,995,934,266,192,509,230,227,642,262,582,558,047,391,021,303,104,
222,904,464,748,278,796,904,621,321,597,904,084,887,911,739,238,248,478,666,
403,033,945,749,496,018,402,855,400,000,173,999,589,116,533,445,983,013,055,
835,540,798,636,274,365,920,785,936,152,955,303,000,959,408,502,694,020,326,
283,550,294,848,170,242,546,469,211,475,483,966,713,665,981,140,671,283,331,
743,719,072,246,484,442,739,098,827,795,902,193,615,117,296,654,182,976,936,
745,995,591,729,264,596,348,422,254,693,323,695,483,796,364,062,598,920,504,
831,321,360,134,957,150,145,469,058,906,510,468,223,096,254,740,687,109,801,
694,613,244,770,337,491,554,590,066,221,493,408,964,496,297,028,518,186,510,
303,754,935,486,295,161,541,821,099,038,563,999,912,788,360,540,254,330,206,
747,028,759,390,605,616,877,995,408,695,836,125,483,602,591,012,871,450,418,
470,222,916,839,550,489,698,640,658,088,248,357,036,920,377,832,808,234,068,
615,951,346,195,937,196,413,311,202,835,124,702,769,867,428,923,798,831,341,
926,280,447,182,895,116,558,143,928,737,700,571,310,195,520,041,516,215,780,
008,423,290,908,724,669,175,024,776,061,367,411,761,420,944,953,919,769,589,
854,428,521,338,431,833,023,134,375,822,941,226,301,656,580,586,527,558,176,
603,044,066,529,042,518,172,814,135,991,653,020,446,883,061,430,975,036,283,
805,113,659,342,610,382,450,609,272,624,226,354,538,471,578,477,655,626,016,
772,244,147,357,625,393,613,228,645,111,451,284,213,356,969,146,165,462,384,
722,236,079,557,285,313,940,591,540,663,225,193,254,399,780,670,241,815,015,
385,235,093,871,150,627,593,205,553,819,017,962,222,989,812,563,296,589,217,
100,159,152,783,685,169,464,716,047,081,524,144,004,737,819,547,999,712,974,
633,237,074,705,282,208,413,991,462,570,191,597,130,507,414,550,658,249,199,
002,698,345,894,586,053,396,069,741,248,819,017,474,076,442,500,295,645,816,
221,752,614,160,764,007,807,648,187,813,152,464,910,354,648,744,597,391,690,
423,611,050,084,741,336,211,360,640,517,607,188,700,839,427,561,075,730,711,
586,923,273,404,307,686,162,870,844,386,016,496,102,609,519,337,489,397,092,
096,794,653,059,924,554,227,677,731,918,393,182,524,025,933,336,715,430,613,
017,193,976,061,747,329,614,206,178,685,944,962,923,992,703,241,092,751,607,
120,667,424,757,237,136,634,741,876,295,834,898,384,325,653,776,178,352,702,
179,847,091,199,792,189,256,168,577,106,804,013,068,570,149,713,742,241,121,
737,530,537,161,595,703,529,779,805,280,165,404,832,676,586,166,711,938,263,
700,977,310,892,356,244,363,943,317,551,028,157,878,504,335,215,833,929,000,
336,853,298,415,612,212,413,201,945,091,643,197,823,331,155,004,213,359,996,
926,580,630,935,428,404,904,425,095,768,861,540,782,436,161,412,343,800,237,
164,289,477,110,500,613,400,523,802,917,540,286,109,835,346,775,060,847,627,
596,034,292,645,339,885,161,631,632,938,432,863,575,026,848,541,435,551,184,
662,224,559,365,070,487,996,618,350,052,556,298,968,000,091,277,647,606,373,
094,541,831,425,450,385,225,398,429,969,550,121,572,779,671,713,743,447,659,
595,161,909,937,185,125,832,790,391,264,732,399,321,663,103,597,400,181,707,
154,055,746,932,731,298,123,885,622,511,455,359,509,012,785,520,639,090,065,
607,786,856,265,243,058,323,126,545,086,494,211,783,937,364,003,196,491,086,
879,360,322,841,397,608,888,743,486,269,516,320,025,009,750,467,835,356,016,
268,967,882,249,597,995,708,912,786,352,908,804,152,246,323,044,018,185,911,
320,909,994,586,229,652,114,644,287,693,669,776,115,790,243,873,724,186,258,
504,524,804,944,916,888,206,649,638,379,043,743,032,869,424,208,753,545,095,
986,312,632,407,167,751,761,574,420,569,987,552,870,175,504,696,345,444,576,
310,753,815,681,141,343,801,661,936,240,920,803,819,138,270,358,785,690,041,
509,837,843,917,333,165,165,293,750,145,619,683,817,967,445,559,928,442,651,
186,551,675,573,721,450,927,688,208,011,589,474,593,032,232,057,066,046,087,
750,552,325,886,166,944,852,986,420,396,241,630,254,896,672,889,941,459,231,
354,960,887,250,407,986,858,677,946,255,294,837,231,142,569,291,286,245,479,
178,539,151,615,447,001,204,584,130,035,463,169,788,268,115,168,916,631,142,
152,492,570,772,554,456,400,380,880,396,743,538,938,291,767,970,524,004,867,
072,229,314,878,786,839,240,167,162,621,543,662,780,087,857,211,799,233,255,
519,637,952,916,138,926,838,945,472,203,252,738,076,755,646,025,823,923,927,
126,223,844,390,439,600,386,363,916,338,853,702,094,766,267,153,968,414,713,
338,128,161,746,834,733,192,450,435,723,787,164,641,352,485,165,434,514,501,
849,721,217,067,187,230,553,965,921,615,415,741,065,917,339,094,917,587,252,
752,962,379,884,784,503,258,184,048,306,033,025,638,505,836,752,953,011,814,
427,510,298,235,094,681,242,591,829,571,095,374,038,817,658,246,586,890,943,
553,140,650,856,374,223,912,818,872,553,088,469,195,880,249,663,466,100,315,
879,963,225,139,676,798,776,171,488,579,552,551,453,433,763,860,936,604,181,
262,298,792,917,238,130,623,544,172,126,469,055,295,042,102,368,263,230,544,
507,259,994,262,505,878,261,415,552,728,083,302,190,109,123,844,238,068,017,
850,400,395,938,035,222,543,353,464,591,462,478,278,490,141,683,780,824,863,
403,116,903,250,718,129,168,428,837,011,028,632,348,143,517,371,804,670,630,
648,021,382,425,406,715,116,649,947,945,192,829,389,883,975,455,108,175,599,
466,708,456,300,281,526,560,484,714,881,070,149,629,011,789,972,161,244,204,
132,008,542,183,832,867,310,074,858,079,428,601,789,554,427,562,149,198,927,
736,594,318,724,692,264,109,489,516,280,149,676,378,713,568,673,370,106,800,
831,860,287,188,008,942,059,197,214,741,037,346,446,277,676,694,660,766,363,
761,127,191,969,940,612,958,604,926,860,476,217,193,934,006,693,532,256,380,
648,970,854,158,425,895,262,669,343,039,523,740,353,884,703,170,254,056,118,
607,820,106,846,590,547,297,550,121,339,594,566,208,281,760,258,585,587,194,
796,299,684,981,524,655,164,423,876,471,691,792,029,329,410,649,215,897,794,
070,359,646,817,545,177,830,148,290,667,612,821,318,985,110,607,472,458,399,
076,472,695,618,650,692,251,573,419,229,734,604,590,746,624,241,260,638,060,
953,626,192,367,054,585,993,744,526,935,712,633,361,732,973,787,043,876,585,
333,430,166,629,152,948,630,644,816,568,138,629,763,819,466,302,264,151,893,
486,504,953,781,298,301,914,203,212,704,757,152,208,314,790,452,588,701,377,
825,929,377,566,346,059,733,693,313,901,995,985,744,730,790,641,026,085,749,
515,166,693,321,578,655,107,200,440,083,461,268,895,941,753,927,056,062,998,
546,031,395,879,793,063,929,820,847,896,450,025,735,103,523,932,594,080,385,
077,928,537,375,038,514,543,172,104,622,722,035,542,751,622,925,601,415,315,
375,469,914,352,883,675,888,989,664,534,929,132,904,899,776,153,133,286,161,
483,558,107,796,332,918,255,309,666,283,184,384,719,911,743,716,742,391,358,
188,012,559,553,852,986,076,656,464,887,435,669,840,326,327,527,123,950,390,
533,506,495,098,539,449,984,554,770,298,179,176,771,440,180,846,180,919,951,
176,223,621,956,435,486,780,355,113,497,196,843,146,130,738,620,176,333,941,
465,244,038,859,142,923,629,901,516,038,639,647,588,509,853,202,377,806,031,
658,401,704,016,227,855,134,268,941,133,547,584,001,434,115,742,480,018,914,
506,195,269,673,707,880,442,748,164,756,118,278,642,437,063,702,953,978,346,
454,011,263,246,748,251,251,936,414,848,443,804,706,518,428,546,242,732,077,
541,788,327,796,468,695,324,631,523,390,828,956,858,664,465,371,353,371,969,
572,156,984,521,528,463,539,627,909,407,601,411,010,524,832,452,068,730,389,
472,374,937,945,617,028,383,882,115,198,742,005,146,527,625,964,327,812,797,
845,389,707,020,195,359,663,462,800,609,616,134,754,467,183,427,067,342,050,
643,031,003,878,704,925,630,191,428,230,024,397,293,922,873,105,611,519,179,
321,807,283,680,671,024,166,611,526,865,579,497,173,463,876,980,786,630,627,
597,040,836,998,163,938,950,660,993,362,149,306,954,587,445,689,607,916,574,
949,613,826,760,006,615,981,922,504,836,454,892,312,718,748,897,610,211,775,
140,901,613,889,507,252,286,535,209,874,564,909,322,076,418,314,782,808,502,
652,508,595,934,682,911,591,171,374,556,439,264,520,845,927,636,260,847,301,
261,093,218,366,868,019,445,360,831,067,437,142,715,663,454,198,445,809,281,
652,116,870,879,911,960,557,579,359,795,574,316,435,993,224,201,742,885,566,
631,301,979,938,656,432,636,303,622,185,626,365,841,675,896,401,069,228,859,
001,024,073,135,598,310,938,548,378,433,134,133,343,691,533,825,267,510,006,
601,721,538,760,761,404,474,067,108,223,761,927,764,202,446,021,276,570,284,
024,030,691,778,256,227,446,022,108,389,450,096,916,873,458,843,739,306,146,
081,136,346,175,757,939,674,811,999,962,283,735,480,431,448,472,622,405,436,
164,811,111,086,424,055,880,214,753,143,455,181,341,073,466,383,604,451,306,
621,507,635,359,557,564,673,711,360,822,677,467,349,475,325,668,443,947,840,
396,020,254,154,493,279,027,469,197,893,575,959,746,213,614,535,237,085,812,
492,538,551,385,230,235,855,086,037,637,866,579,650,153,878,419,796,023,938,
442,399,876,414,091,355,537,318,459,700,791,316,638,232,683,723,935,868,625,
348,315,416,273,183,183,962,499,523,519,686,362,481,448,021,487,358,865,299,
586,107,235,494,714,651,994,411,212,552,525,650,620,275,896,490,514,862,515,
457,924,793,870,550,321,798,300,579,544,353,579,284,928,339,481,836,117,002,
598,151,555,818,874,243,993,062,802,660,671,436,666,737,826,807,465,592,079,
788,618,302,071,970,586,320,664,227,757,254,237,331,313,735,318,425,141,557,
628,057,830,265,868,638,115,889,872,330,116,723,456,567,705,141,426,354,778,
065,777,031,698,328,137,959,035,037,845,412,964,883,106,862,859,338,455,844,
288,154,011,217,318,218,850,899,519,299,761,908,766,380,724,637,359,794,837,
989,922,357,298,644,022,345,829,121,486,924,713,899,611,174,819,360,009,170,
405,820,185,461,233,157,044,642,151,690,391,222,475,557,934,025,231,235,420,
623,121,968,979,634,339,135,320,569,272,599,378,067,637,497,886,618,918,762,
142,637,889,681,493,283,559,392,885,658,357,179,336,632,580,569,150,020,158,
190,694,137,867,123,100,344,469,526,937,932,385,911,591,429,658,361,254,476,
967,194,145,538,358,233,392,755,898,913,870,781,052,057,114,483,599,754,133,
380,838,229,071,179,705,338,734,669,173,018,533,737,730,236,088,826,198,039,
194,591,018,414,125,199,273,785,760,466,750,595,641,959,581,925,717,601,541,
922,835,112,959,171,390,293,517,403,094,435,210,405,198,118,535,912,309,270,
148,624,777,837,890,174,258,544,995,014,687,827,907,827,293,238,547,287,328,
517,792,383,608,145,109,961,151,825,473,499,301,806,386,573,685,215,708,990,
760,833,039,264,887,882,423,901,419,402,590,353,600,757,654,439,956,968,276,
044,602,640,615,523,621,374,063,296,740,861,937,323,746,622,265,828,280,956,
170,735,221,374,037,740,652,944,720,935,443,118,242,955,359,490,634,619,161,
153,288,124,509,270,472,822,681,304,060,593,971,077,973,194,791,088,072,198,
490,093,278,531,623,742,891,642,148,258,372,379,545,350,514,886,408,362,996,
656,237,292,480,411,264,915,228,522,908,683,831,943,704,693,863,735,945,310,
157,942,757,152,621,395,644,656,344,184,213,838,941,379,583,107,793,912,851,
141,691,295,297,837,021,744,286,345,874,411,798,216,293,098,289,486,007,961,
635,984,617,559,572,831,066,929,810,632,279,041,303,909,249,528,259,090,823,
645,889,579,987,297,882,361,851,384,503,857,196,071,063,236,028,517,485,165,
025,262,407,715,611,458,371,449,754,852,634,967,205,522,877,172,819,337,208,
436,813,063,387,321,031,151,230,635,284,137,854,126,354,059,927,770,095,086,
368,519,491,671,164,695,174,760,125,336,102,297,061,700,820,681,063,167,456,
038,728,714,418,547,815,793,936,618,855,521,623,525,148,887,531,557,150,282,
486,454,035,655,043,024,261,471,580,251,218,251,389,077,510,378,075,464,845,
005,421,450,523,467,622,273,672,425,343,575,930,325,544,042,855,646,946,403,
389,588,135,619,393,364,265,117,088,590,711,578,653,319,803,082,119,960,372,
076,504,739,752,509,012,364,105,762,806,287,685,876,010,686,914,980,563,367,
793,334,627,188,263,316,124,248,518,372,763,010,306,314,826,799,503,664,454,
833,770,936,601,588,356,887,195,377,974,921,911,641,875,813,109,261,569,903,
125,778,112,608,191,519,787,572,965,530,988,738,177,781,323,690,963,537,349,
732,523,670,161,032,926,252,652,476,529,493,853,106,576,478,107,808,327,757,
215,921,450,784,280,097,268,027,907,543,261,953,370,269,606,735,893,517,087,
321,298,366,281,976,218,868,793,284,826,563,444,888,601,430,642,878,693,235,
829,465,001,001,713,500,826,206,555,556,649,360,480,237,340,390,304,945,804,
493,888,125,466,774,347,671,995,275,724,990,468,807,635,417,713,854,754,737,
663,235,567,820,163,538,002,798,820,314,409,618,005,884,202,791,820,374,097,
504,903,779,646,018,841,520,076,104,406,297,211,665,834,265,805,915,925,756,
876,701,615,191,241,436,463,883,686,912,446,347,573,499,300,390,354,495,722,
874,239,982,992,849,760,987,029,740,681,618,975,864,613,432,981,960,395,146,
570,050,268,096,998,241,651,590,295,893,943,069,693,825,100,062,040,902,122,
254,752,473,673,837,278,849,882,120,799,380,225,105,831,859,934,779,134,479,
987,780,656,472,565,893,840,398,730,067,131,935,675,452,934,124,564,612,911,
378,626,977,058,019,111,800,959,211,243,898,191,854,012,663,248,263,833,807,
615,699,476,578,315,890,213,336,040,156,522,919,606,974,215,465,783,795,485,
610,261,983,239,879,012,314,540,415,621,930,815,911,570,814,791,898,503,552,
972,767,765,030,916,252,790,833,685,889,473,424,924,528,293,579,362,132,447,
167,699,109,292,953,933,553,543,785,946,914,616,746,608,024,972,801,431,333,
636,402,350,825,949,351,595,189,200,633,820,368,206,585,966,307,087,748,348,
373,912,312,591,236,827,500,296,811,951,658,143,976,380,915,073,341,888,407,
264,620,147,071,586,872,853,526,636,718,548,183,193,456,599,012,822,746,511,
569,845,172,465,170,188,863,889,757,025,013,848,683,660,211,712,327,131,855,
401,591,696,490,238,453,048,251,267,330,010,499,981,578,972,141,238,525,776,
697,538,092,317,719,969,543,411,330,868,476,398,499,824,827,289,764,178,785,
919,514,162,561,625,841,525,083,243,503,460,540,773,799,874,306,470,066,514,
793,869,757,539,645,448,855,124,692,044,893,384,220,528,677,143,112,155,227,
300,139,238,403,265,065,337,195,240,451,676,121,354,798,776,275,574,049,790,
431,402,878,125,238,596,914,262,839,793,911,943,404,987,463,252,923,952,493,
518,304,283,570,182,163,904,514,671,554,238,256,907,113,143,964,729,538,960,
823,927,880,451,094,136,223,473,835,147,183,751,649,667,944,299,048,871,171,
872,922,833,361,206,093,339,162,685,386,601,810,882,578,777,026,490,062,504,
764,831,280,265,300,424,602,672,939,061,567,790,720,558,199,243,884,115,398,
807,521,623,546,926,658,217,811,072,489,602,050,408,066,591,745,766,824,549,
395,837,752,536,596,954,007,205,850,062,933,427,543,824,997,948,570,543,632,
223,195,991,159,079,518,683,646,909,725,393,713,613,338,648,998,256,424,578,
709,427,958,967,111,783,407,830,365,794,631,232,560,178,486,250,528,368,833,
103,698,030,005,132,344,342,711,457,662,475,468,603,022,438,574,209,042,027,
659,569,021,066,087,029,058,195,968,926,767,502,170,862,193,922,609,679,185,
233,341,445,323,833,469,448,052,930,332,845,118,736,209,519,050,164,417,400,
737,828,509,916,793,914,122,317,117,803,144,440,668,939,403,070,099,076,132,
981,738,004,952,601,700,958,731,178,047,389,003,037,182,349,268,208,504,022,
751,495,753,110,522,698,526,011,241,097,180,805,492,729,401,762,772,818,721,
479,117,396,598,575,796,365,739,334,322,562,680,353,413,651,040,074,423,751,
104,253,734,277,840,831,790,338,572,451,573,498,872,478,848,985,891,152,683,
603,916,410,381,062,694,708,951,063,168,432,271,289,108,366,031,994,475,550,
312,702,540,356,102,824,775,387,156,319,691,140,944,869,283,520,021,834,577,
772,131,522,322,551,359,625,231,762,604,761,000,051,837,553,863,988,482,159,
431,171,150,921,223,262,546,917,748,324,480,536,056,119,429,233,648,547,657,
711,192,222,371,140,302,006,712,374,438,857,265,746,152,608,371,556,124,814,
301,580,887,145,619,518,802,528,865,959,226,296,429,558,438,267,963,697,111,
682,769,952,843,085,098,811,435,118,946,677,886,621,344,903,430,424,719,089,
323,423,470,659,251,768,084,068,729,487,018,227,404,291,427,257,568,095,361,
809,947,098,379,987,342,625,370,905,666,109,133,048,866,845,230,376,149,249,
885,997,726,032,565,553,631,173,411,531,191,045,374,871,114,034,427,520,819,
568,407,636,282,963,622,904,293,367,182,966,246,928,164,808,628,031,093,156,
771,157,680,603,159,164,972,032,144,142,201,556,862,766,678,534,864,873,044,
468,861,902,553,791,421,385,395,634,224,086,746,278,222,656,147,068,015,380,
090,759,910,920,298,925,724,942,819,242,832,122,771,839,970,519,749,104,265,
772,519,287,804,808,906,056,034,134,983,351,638,440,619,071,124,950,445,540,
742,170,433,633,691,302,312,558,159,327,705,573,288,341,805,909,670,574,178,
243,831,932,193,984,894,530,066,866,528,528,173,313,958,386,006,220,167,950,
716,616,732,758,451,119,889,579,569,177,226,162,721,953,049,597,968,177,053,
397,814,318,650,807,294,744,655,393,909,703,442,785,698,443,752,920,154,987,
559,700,185,625,602,388,445,162,589,504,910,701,204,711,469,424,944,486,965,
203,207,292,436,297,998,433,930,272,670,255,027,776,153,568,624,929,468,614,
447,670,461,379,363,349,391,713,115,939,381,163,163,740,128,077,193,514,438,
311,856,714,210,875,894,619,649,187,363,329,540,089,376,897,671,270,384,371,
716,169,191,299,860,615,304,328,003,404,094,267,870,402,122,691,733,238,827,
094,519,918,989,874,239,404,383,177,625,639,081,639,654,521,322,062,937,733,
753,193,597,752,063,549,899,936,290,535,587,417,625,641,172,347,805,396,831,
593,681,345,454,877,032,609,805,392,549,390,515,860,992,981,113,325,020,373,
027,219,404,219,177,443,103,028,255,176,870,024,059,748,727,229,602,947,539,
509,196,875,231,042,206,589,430,562,860,346,145,466,091,021,863,906,615,879,
053,507,756,518,248,413,829,135,161,625,213,821,719,092,809,847,872,788,283,
972,345,169,315,150,009,247,271,137,768,803,255,387,587,888,209,320,590,368,
767,799,122,319,181,983,650,606,434,140,850,702,287,528,070,684,467,091,234,
151,304,025,724,544,625,604,720,314,856,105,795,486,061,319,216,202,843,474,
702,211,662,460,051,774,739,355,657,273,830,212,688,816,271,331,789,705,747,
165,717,018,450,466,832,204,375,893,785,162,335,134,854,775,450,401,620,411,
175,579,591,857,601,014,496,589,221,023,133,448,286,728,120,685,157,552,513,
086,312,408,703,457,778,497,834,049,228,040,763,519,775,133,287,216,071,074,
372,358,638,122,490,089,418,578,459,618,306,698,009,801,752,377,867,104,293,
561,381,691,788,807,100,887,866,252,034,113,740,072,696,321,887,488,070,530,
295,713,640,304,489,361,519,222,801,977,594,244,395,536,897,824,196,962,627,
563,888,744,360,898,396,565,817,939,259,132,595,975,818,899,832,113,127,356,
464,781,762,512,294,378,443,395,871,512,024,941,709,492,493,303,829,252,138,
330,856,673,546,821,400,918,485,561,863,936,360,965,708,928,905,366,386,131,
014,868,170,103,996,554,820,546,292,262,335,388,071,317,092,289,390,810,978,
125,262,642,566,946,374,125,100,901,648,641,857,988,756,176,927,244,946,786,
596,610,514,040,973,149,352,358,403,061,138,068,244,653,388,586,598,614,709,
801,155,401,337,222,324,419,714,230,526,150,104,694,584,493,772,055,281,732,
525,553,689,477,860,378,539,268,234,988,130,426,647,014,796,384,916,636,264,
942,651,395,643,323,857,642,057,481,910,389,348,214,785,958,896,963,999,559,
781,553,195,196,380,429,011,182,172,693,599,101,140,255,996,823,688,310,670,
318,938,957,113,804,060,945,526,942,180,257,485,798,285,674,934,247,950,278,
410,965,755,891,175,888,798,647,071,590,472,202,885,106,693,660,000,970,516,
092,112,982,259,200,919,604,719,423,077,974,645,267,240,078,043,942,624,036,
409,261,527,862,869,467,005,795,393,626,164,088,084,816,391,998,160,353,367,
312,500,440,163,077,100,621,308,989,039,170,728,235,110,931,268,182,434,952,
377,789,837,289,175,816,117,064,542,183,573,582,299,011,440,130,172,962,003,
129,546,541,457,619,488,361,951,973,448,014,176,028,455,606,146,025,050,582,
641,394,404,922,793,259,150,713,453,968,107,271,373,921,547,449,728,950,509,
702,268,427,577,944,490,377,292,505,947,026,870,109,106,407,738,555,108,377,
618,976,714,857,554,608,087,353,155,434,949,534,645,717,216,908,611,004,027,
431,492,725,464,064,908,164,808,269,107,558,839,041,989,987,870,853,088,642,
014,232,387,814,600,560,635,793,368,846,468,450,031,214,016,492,740,564,957,
280,779,962,193,238,563,544,772,639,227,301,200,640,442,533,857,593,036,530,
797,805,805,160,766,131,933,188,101,069,300,249,359,308,178,800,879,630,385,
807,935,162,184,088,950,891,642,380,932,790,419,950,140,572,536,776,481,765,
677,910,053,453,258,690,020,381,987,093,811,132,070,397,506,170,778,941,745,
243,244,196,033,557,943,301,549,144,269,327,856,049,484,568,494,607,780,621,
430,960,029,679,912,576,058,485,874,212,718,531,014,042,498,918,121,394,154,
101,424,321,317,768,127,494,480,244,842,811,944,287,354,436,353,511,700,353,
069,041,259,375,701,933,424,922,089,418,299,719,983,463,140,189,170,018,165,
681,281,913,122,586,455,977,424,566,720,736,388,298,047,093,731,924,627,052,
006,389,689,315,971,508,341,762,411,688,103,662,203,460,792,902,180,831,578,
039,685,548,713,400,167,644,831,044,824,984,431,046,058,882,984,134,752,034,
593,647,015,479,638,948,981,209,081,263,994,825,227,044,753,187,180,211,082,
978,636,957,378,143,279,360,334,489,293,872,817,599,978,344,642,959,908,410,
649,788,044,056,736,371,973,778,948,146,348,568,602,308,644,875,128,613,112,
184,085,536,677,733,007,979,922,247,082,390,323,202,856,532,879,713,781,278,
983,562,303,338,922,165,177,304,057,684,404,198,971,563,080,297,024,123,676,
228,155,465,191,947,560,948,777,279,657,399,718,839,320,194,345,620,020,810,
491,819,444,089,326,654,986,562,251,286,839,851,050,329,467,032,245,102,052,
623,929,922,433,176,733,925,236,171,942,874,054,680,004,844,434,244,357,406,
336,136,798,272,954,932,119,805,129,335,158,261,893,469,166,458,179,442,459,
641,429,825,639,981,079,878,860,448,731,938,649,750,719,088,918,978,283,344,
623,357,820,819,486,074,114,420,838,710,098,282,056,485,099,614,771,325,759,
140,128,428,993,358,163,967,489,700,087,048,799,869,567,095,802,123,189,320,
896,203,221,876,061,491,852,776,628,547,628,072,338,868,933,661,227,244,281,
844,608,883,987,335,795,510,842,703,581,785,042,130,367,085,125,508,643,259,
404,774,905,235,204,053,344,487,403,022,171,846,822,867,989,857,798,005,611,
853,156,246,330,987,326,966,450,799,375,435,890,968,323,864,786,936,202,621,
780,380,805,402,302,356,865,877,879,275,291,912,117,211,249,473,283,608,189,
018,647,230,796,581,902,075,924,502,370,506,368,011,267,318,929,504,822,053,
315,281,263,233,759,863,245,207,009,871,407,261,167,012,203,537,761,078,448,
694,235,401,772,431,815,370,436,836,256,746,302,065,239,504,394,805,753,165,
064,131,573,578,170,054,144,454,779,057,945,990,814,658,292,616,412,304,062,
555,602,680,563,872,182,257,126,643,410,115,113,758,432,617,521,476,929,711,
271,662,020,024,427,437,445,394,900,989,600,845,670,566,845,266,572,008,465,
057,473,192,767,574,719,706,338,448,956,962,808,360,828,479,376,391,220,724,
476,194,743,386,285,378,854,993,950,930,074,206,709,908,477,477,795,656,959,
787,512,923,744,961,511,524,862,943,826,758,870,441,198,290,417,717,936,368,
880,776,078,781,256,489,849,601,410,859,372,372,086,849,592,094,496,650,379,
043,040,851,728,995,745,139,357,398,249,815,646,539,776,927,803,232,925,732,
985,085,261,986,549,388,858,117,326,865,697,829,532,115,141,776,274,953,045,
467,759,609,001,080,318,926,954,048,605,364,939,617,587,162,406,542,262,317,
910,856,532,910,963,145,197,304,840,159,892,223,994,610,418,160,625,314,948,
647,062,466,500,076,885,502,862,546,497,691,889,187,671,279,497,962,958,454,
546,136,722,519,890,635,980,297,579,051,190,488,721,790,788,700,906,517,011,
967,143,023,536,745,629,620,211,980,900,363,833,168,259,374,069,530,567,554,
265,366,345,720,432,797,000,043,678,074,616,352,939,237,095,278,282,866,082,
395,250,178,638,159,435,798,812,434,042,842,215,058,382,878,649,565,754,346,
952,851,655,595,197,877,223,453,177,250,365,828,058,506,707,078,373,385,995,
427,199,666,200,849,989,465,752,682,779,682,170,471,554,976,323,425,205,987,
363,503,133,646,191,206,590,882,286,106,019,352,903,686,465,484,431,772,523,
550,378,884,238,447,539,402,332,378,746,783,508,101,204,931,880,435,323,505,
598,737,605,612,641,347,214,893,432,738,564,900,347,189,073,181,523,199,170,
070,741,365,340,799,960,356,176,078,435,220,236,376,959,684,556,066,098,267,
973,616,996,466,611,144,660,673,902,453,441,515,135,497,310,479,186,775,272,
889,224,658,142,805,859,643,178,927,390,103,470,702,446,940,799,398,912,240,
311,096,778,784,214,321,418,601,471,149,843,690,073,703,298,740,678,731,390,
097,187,254,582,234,490,951,845,674,219,936,771,845,265,255,049,403,721,662,
069,081,826,275,164,648,689,783,765,687,238,337,028,941,581,228,213,130,814,
810,449,493,676,245,011,513,645,928,722,953,729,187,790,377,500,528,086,689,
309,147,470,049,400,603,929,835,106,787,412,719,518,632,036,412,742,167,496,
410,466,240,490,517,738,459,304,560,879,070,898,142,611,424,225,523,606,855,
624,786,532,713,331,097,778,266,689,630,610,437,934,904,655,672,544,223,679,
604,177,379,004,397,052,461,389,372,039,202,334,779,470,760,973,135,799,790,
718,450,269,259,939,194,026,169,717,303,392,578,161,241,514,162,939,349,393,
356,727,803,021,725,561,457,003,200,887,724,801,827,180,588,111,392,528,852,
974,444,790,774,409,368,076,666,408,976,060,844,893,752,817,124,824,177,910,
589,549,613,390,186,924,675,221,630,947,779,948,895,445,604,343,740,371,391,
466,334,324,306,083,725,664,443,567,606,834,393,172,782,186,437,614,242,539,
263,422,861,305,120,461,833,649,190,579,832,176,712,020,949,848,366,141,302,
033,619,151,706,285,811,749,550,917,320,149,132,908,215,971,547,504,303,070,
889,342,107,911,654,993,284,694,589,385,179,240,212,289,723,993,610,041,051,
573,713,262,191,068,829,612,169,024,771,324,516,771,701,767,727,197,109,387,
221,891,716,850,201,016,437,965,538,961,742,236,216,746,980,741,286,902,725,
602,522,541,259,919,857,085,467,830,449,136,871,942,575,211,770,095,964,777,
374,315,650,614,462,197,194,867,204,675,501,716,869,176,794,019,371,543,086,
175,469,730,609,752,934,567,502,153,956,583,649,495,682,963,019,228,020,410,
565,790,089,846,368,634,435,719,689,694,072,050,939,705,839,437,269,596,430,
457,856,148,986,014,158,221,687,240,911,738,760,788,049,515,422,714,996,384,
002,430,882,930,929,429,786,450,428,434,135,406,254,269,960,171,426,440,139,
862,276,028,808,026,152,536,472,751,737,135,378,267,715,516,172,702,121,157,
226,149,594,298,460,445,439,977,638,903,518,859,635,093,819,418,938,223,830,
492,669,449,437,233,158,448,372,421,450,471,714,776,877,006,876,889,295,146,
966,713,735,269,234,998,954,684,754,088,465,529,236,656,738,355,036,947,900,
468,821,421,944,688,699,378,648,789,143,165,173,029,958,894,370,442,397,068,
496,167,273,510,701,486,877,496,146,571,531,402,373,705,640,586,489,951,008,
289,409,808,587,593,823,694,553,203,889,487,033,977,489,012,841,977,260,594,
714,327,627,999,454,430,556,810,913,770,945,192,647,788,070,661,131,520,754,
310,696,689,817,683,003,325,144,276,625,815,472,285,579,152,487,867,090,034,
225,329,192,038,538,074,871,930,154,807,727,716,598,699,414,522,024,287,545,
105,258,276,472,184,934,394,921,306,840,238,302,900,274,573,323,513,463,132,
995,351,283,577,130,122,107,723,424,674,391,202,781,980,063,223,157,494,947,
611,127,451,993,152,166,289,098,257,010,628,859,272,054,683,547,766,588,498,
064,364,522,005,407,083,024,728,446,294,656,027,995,983,965,664,437,032,466,
919,924,376,850,622,568,880,675,030,507,544,371,998,930,680,059,363,284,787,
007,524,116,429,284,702,086,363,189,995,404,799,072,353,968,905,867,629,323,
863,410,289,374,569,785,978,783,795,089,535,613,954,584,520,333,269,386,471,
051,025,553,186,267,495,416,833,226,635,480,710,351,434,525,613,782,280,204,
936,638,658,173,481,188,450,464,909,931,481,730,266,379,314,313,622,382,621,
961,765,600,837,674,153,172,870,843,646,573,005,866,103,254,853,618,193,925,
779,283,075,768,553,147,107,007,312,465,188,480,311,137,392,401,952,533,162,
780,858,085,950,450,023,627,377,273,600,697,999,583,585,393,364,301,531,226,
087,100,757,023,741,930,000,996,904,614,982,379,803,980,860,660,746,728,049,
727,480,837,171,947,684,867,172,460,413,696,562,050,671,043,025,268,288,081,
511,309,133,541,556,866,044,047,413,309,963,813,898,853,027,011,393,525,366,
755,565,109,976,839,876,028,943,639,281,065,491,343,902,740,372,443,432,156,
553,708,109,083,716,089,671,358,972,530,429,236,570,679,738,852,287,991,207,
566,959,076,807,497,937,871,693,702,043,558,177,202,848,476,015,270,739,578,
348,968,664,798,563,587,223,870,930,591,320,455,537,956,121,948,482,543,800,
296,859,826,916,136,586,728,732,400,336,679,860,593,645,286,048,209,868,159,
459,748,298,952,033,328,021,877,217,983,158,206,239,564,168,978,736,100,370,
227,999,818,837,430,685,550,110,917,272,294,899,053,337,967,376,621,655,541,
804,309,641,918,047,533,044,280,666,626,828,812,207,202,752,049,397,979,425,
906,695,406,964,270,272,864,791,947,177,240,657,398,725,164,202,517,548,671,
428,233,686,025,733,076,014,644,369,093,170,137,248,794,311,834,192,469,359,
383,853,929,752,096,774,307,161,011,626,195,238,871,962,787,677,837,043,721,
847,618,235,175,500,731,651,734,767,019,487,639,254,842,535,626,225,058,761,
130,214,908,865,447,833,815,079,948,449,779,455,772,053,078,876,843,162,355,
848,035,939,033,819,747,110,920,403,613,762,037,602,756,495,301,229,161,620,
502,997,175,181,171,844,849,763,482,872,471,365,397,154,836,069,887,334,173,
410,265,734,716,695,470,703,666,475,852,436,524,013,984,550,511,443,916,287,
585,896,435,718,217,667,428,151,754,112,910,199,872,154,604,281,828,896,710,
377,590,115,281,684,584,501,557,425,748,283,812,835,542,622,369,077,808,943,
398,500,206,876,361,258,678,711,625,100,717,121,016,740,377,452,896,228,721,
206,566,422,221,475,616,674,132,381,169,234,415,217,576,376,892,301,928,148,
057,083,997,017,208,521,499,934,489,667,864,012,237,929,113,320,686,054,902,
554,545,725,782,956,042,700,489,349,893,783,181,439,462,627,242,360,661,841,
182,120,651,120,952,693,401,217,296,332,799,193,569,966,082,271,415,061,714,
371,399,243,220,998,696,682,856,629,303,236,060,353,165,467,028,484,601,431,
218,251,265,603,716,995,082,282,233,033,189,934,368,934,045,285,541,126,879,
758,408,548,711,858,987,507,795,423,881,950,774,878,593,833,441,805,405,654,
115,123,484,945,186,655,454,644,574,050,157,586,532,228,416,131,549,832,838,
691,979,330,302,913,018,553,296,956,642,815,712,320,734,942,021,804,770,410,
924,122,957,899,552,972,452,887,925,305,424,582,313,526,925,590,891,217,952,
438,137,110,855,623,266,142,328,942,590,986,307,516,119,823,916,913,574,024,
870,857,614,740,403,202,370,581,386,829,584,715,444,796,524,489,792,975,296,
947,890,050,497,838,079,346,447,177,779,436,274,647,828,896,269,369,174,730,
258,335,685,147,578,699,186,096,270,954,286,525,318,036,130,937,921,774,998,
589,543,930,495,875,438,922,068,057,162,107,979,092,210,727,767,453,374,723,
763,073,668,374,600,020,400,567,143,700,124,538,555,364,719,673,587,222,034,
666,778,695,952,205,983,855,110,327,507,264,911,920,548,089,954,390,104,728,
978,533,487,547,745,655,698,886,866,972,921,368,767,802,231,729,500,919,233,
366,761,093,600,336,802,568,291,593,621,482,941,187,224,620,034,722,250,312,
701,931,140,191,348,932,875,219,214,296,722,750,055,405,966,123,375,187,293,
133,783,994,184,495,433,071,924,532,418,329,949,406,272,173,545,427,671,980,
133,019,849,479,300,510,866,794,452,881,987,055,732,124,691,660,160,367,231,
003,197,766,707,794,612,005,093,749,517,579,550,280,863,932,039,495,919,028,
664,144,494,895,591,304,465,284,498,150,479,844,233,766,617,146,778,821,109,
092,822,754,492,727,341,153,471,116,646,741,869,252,143,830,630,715,854,815,
116,197,116,223,356,312,340,785,919,651,722,699,771,139,970,868,238,450,579,
428,156,218,603,842,001,354,756,915,608,615,312,894,652,625,235,064,321,305,
407,600,511,714,917,275,934,553,363,110,479,925,791,709,254,720,900,816,400,
849,474,200,259,301,997,177,884,059,432,150,709,269,828,120,595,927,893,411,
619,961,449,463,169,215,197,149,165,770,847,005,230,671,289,174,037,137,781,
470,270,191,322,250,590,234,257,771,463,681,283,591,049,167,389,253,672,824,
992,077,534,226,085,787,949,803,023,632,986,967,995,625,485,285,389,100,082,
678,533,955,114,811,194,071,412,870,376,875,957,898,486,981,353,496,728,436,
473,879,333,782,210,525,194,116,280,468,849,880,289,779,181,295,270,515,067,
003,959,230,543,617,984,319,652,260,490,544,576,947,065,438,626,600,629,326,
493,154,950,077,881,728,208,530,384,523,911,535,728,471,234,640,456,350,862,
018,135,611,200,923,166,135,715,794,187,271,523,521,695,572,789,834,498,537,
064,022,313,542,676,656,226,429,989,164,555,444,902,590,479,219,944,291,879,
582,431,400,239,384,101,533,687,893,051,194,509,400,107,412,823,204,830,738,
960,213,592,812,196,561,130,120,676,505,586,168,332,640,377,996,409,844,997,
538,317,131,888,772,377,212,400,101,299,845,032,383,617,954,723,750,719,826,
755,064,183,310,860,953,500,452,195,829,501,039,862,583,829,286,810,727,524,
868,782,158,992,819,645,732,590,315,812,346,009,670,792,826,305,184,915,553,
592,327,271,607,306,066,018,683,849,322,079,279,311,743,047,858,233,169,598,
377,867,463,584,981,983,388,783,628,276,413,081,078,806,496,716,524,127,666,
727,243,518,606,586,383,421,276,266,637,612,587,567,381,059,265,916,770,205,
523,426,356,035,041,439,436,451,796,635,473,785,368,778,606,661,168,342,941,
326,344,280,940,649,505,081,953,783,808,787,219,541,035,001,126,491,196,400,
230,055,557,195,905,459,648,140,482,479,070,846,062,991,038,869,180,281,753,
825,770,201,210,791,829,844,800,429,444,855,417,202,767,719,267,497,217,839,
624,484,829,402,883,826,077,945,350,322,654,862,678,057,865,351,961,039,027,
823,718,114,710,909,096,511,732,948,648,003,514,088,663,415,165,381,904,494,
608,153,806,901,235,124,631,442,310,287,933,569,220,021,818,707,569,279,735,
797,704,580,282,243,013,834,983,418,727,659,647,624,829,347,261,972,774,019,
862,133,992,286,361,733,214,211,273,434,357,902,704,490,928,167,252,744,953,
443,852,270,304,838,070,917,329,216,257,399,298,278,474,676,967,556,416,384,
056,743,366,841,567,369,521,609,476,966,927,908,521,885,665,249,484,380,322,
052,448,281,983,664,744,807,351,652,273,294,803,832,728,926,717,894,100,886,
010,733,036,654,115,463,558,063,950,344,694,720,903,491,058,736,273,587,529,
598,154,915,968,915,414,755,228,644,750,385,792,940,966,893,527,745,592,123,
087,093,278,913,056,369,520,705,782,861,401,237,368,660,788,590,473,559,084,
250,763,815,364,971,638,399,485,667,553,093,086,675,196,056,469,810,973,705,
780,307,590,281,890,423,947,558,177,051,456,373,920,354,703,363,259,447,204,
999,088,562,866,246,349,184,327,915,203,258,351,790,977,948,395,092,747,615,
014,208,659,474,540,969,590,241,215,484,125,130,603,314,704,574,348,038,886,
881,200,070,211,539,241,031,287,614,149,340,703,809,535,944,366,654,515,163,
194,343,607,495,932,013,947,677,788,148,752,730,508,027,394,179,239,014,290,
946,939,679,011,059,013,634,346,341,933,135,057,773,259,055,196,751,306,127,
846,359,462,412,527,835,080,814,427,966,838,434,439,629,649,693,574,109,817,
027,664,609,001,247,321,328,626,471,545,056,794,884,331,201,220,064,037,582,
747,605,010,663,413,763,400,345,734,274,259,016,130,204,198,914,737,775,345,
906,391,801,145,298,705,720,197,100,897,189,155,876,625,010,800,770,761,554,
663,206,244,216,571,869,820,938,433,332,932,052,493,234,255,380,586,776,369,
230,376,643,109,092,544,628,734,546,423,858,322,361,575,314,773,033,019,164,
836,772,392,053,194,729,569,106,358,226,424,124,381,039,648,546,748,262,168,
033,399,847,639,475,550,183,489,271,191,234,418,037,330,583,421,644,926,858,
677,271,277,487,039,978,597,858,360,777,720,524,025,821,124,801,979,404,476,
987,904,311,526,720,382,325,974,249,812,876,812,769,478,441,618,062,308,004,
385,624,717,980,582,404,389,734,220,972,779,457,080,321,260,929,018,451,608,
897,987,771,265,203,200,686,646,975,690,717,108,115,700,448,035,238,625,678,
400,760,248,043,259,450,273,621,539,935,101,648,792,789,343,218,657,016,066,
488,759,487,571,848,232,082,872,076,054,046,168,445,615,617,099,997,728,771,
305,757,578,759,047,973,841,298,023,139,754,976,042,641,153,882,611,208,109,
377,336,034,105,163,296,999,616,625,794,671,366,970,809,724,193,212,765,203,
509,457,571,535,962,097,671,586,680,662,522,177,357,027,829,846,139,792,718,
538,597,889,116,967,583,652,042,227,054,795,506,532,157,009,141,673,394,082,
868,241,636,486,845,669,012,910,672,190,381,068,206,798,260,636,964,992,519,
842,771,661,318,805,051,541,861,814,249,303,216,786,104,782,845,191,321,873,
253,992,322,026,247,744,428,915,803,769,105,668,804,217,458,418,728,825,472,
282,537,826,513,556,917,097,246,213,044,673,137,442,106,050,597,727,088,944,
054,016,733,447,486,694,897,600,129,665,273,844,734,039,336,149,554,304,112,
672,588,690,827,488,745,108,821,290,172,721,139,118,720,418,310,400,371,166,
103,451,426,290,630,861,748,254,747,916,450,242,586,979,384,127,207,559,419,
900,056,302,950,995,871,874,087,042,657,539,389,655,336,678,746,928,838,097,
293,213,907,647,625,692,936,648,628,469,937,287,912,278,726,020,752,743,125,
327,524,440,027,391,071,904,273,803,158,769,861,526,773,076,131,071,648,880,
377,481,232,753,005,630,680,843,637,352,155,278,607,259,259,674,879,204,589,
948,899,871,339,642,523,640,405,770,747,539,065,600,317,432,916,382,381,752,
316,222,977,572,107,211,831,095,793,739,229,924,181,209,908,550,249,968,496,
161,147,276,051,086,391,888,235,135,344,626,172,843,896,010,468,195,820,376,
860,670,634,991,709,287,396,599,687,780,073,372,860,854,639,872,146,075,490,
408,341,019,877,134,142,584,792,127,527,694,594,881,370,178,473,165,757,174,
115,863,991,100,546,239,589,948,071,465,315,452,882,902,588,693,617,598,673,
441,884,122,002,646,972,183,612,639,856,523,041,685,761,562,313,352,147,652,
089,886,673,436,127,626,606,209,407,819,840,519,538,485,388,321,895,303,196,
816,066,641,336,232,205,453,483,457,277,459,479,826,048,895,749,301,640,936,
443,569,425,420,085,937,629,257,546,968,479,382,714,158,627,006,852,671,191,
404,633,487,041,768,872,006,966,487,348,551,951,214,432,117,968,278,368,436,
562,863,232,117,044,536,416,183,573,370,510,166,731,995,848,832,487,649,306,
979,368,742,893,372,346,214,419,778,392,172,544,641,888,297,143,323,012,789,
245,891,987,896,601,357,763,622,101,996,821,193,953,569,095,608,215,140,943,
581,082,030,143,039,194,802,770,760,658,392,570,972,626,273,986,386,823,067,
580,190,514,344,675,057,589,741,241,345,069,661,595,699,805,444,850,318,521,
724,918,756,462,196,544,889,682,606,323,501,144,868,035,358,477,730,482,156,
991,334,813,892,279,574,463,517,081,055,450,947,770,873,326,138,971,080,034,
626,050,429,453,713,165,363,034,791,204,811,526,406,398,093,858,684,111,729,
476,399,641,054,488,949,858,121,878,966,407,401,827,874,041,204,808,642,567,
186,495,380,045,899,849,074,502,172,021,432,625,789,845,165,315,395,850,793,
620,366,780,294,885,065,854,415,690,371,877,172,156,977,563,521,915,441,639,
619,255,709,701,580,530,616,549,095,290,020,165,635,445,626,789,162,679,677,
920,299,600,599,898,669,845,258,167,978,142,018,848,104,906,898,565,563,505,
975,774,976,343,230,539,259,774,027,837,425,007,247,261,131,159,289,165,029,
752,097,092,132,910,506,333,965,363,420,627,597,809,066,094,076,312,551,522,
696,165,849,027,124,850,418,777,068,884,309,410,741,965,535,297,699,097,589,
790,333,611,256,783,969,533,424,191,291,509,505,812,596,905,540,150,960,038,
079,434,602,923,324,598,010,916,457,160,627,509,842,400,997,548,783,909,153,
149,333,053,656,888,379,863,544,388,124,761,456,801,528,771,858,914,995,606,
809,882,415,436,997,863,003,021,726,367,701,417,917,865,119,592,394,292,695,
165,952,766,927,522,359,498,412,868,208,307,319,485,098,852,770,962,588,596,
193,428,736,640,188,188,447,420,031,834,769,767,918,574,496,843,193,396,676,
860,855,967,671,839,395,768,725,004,113,718,674,114,907,284,237,874,487,417,
052,946,257,463,029,881,864,561,281,099,074,704,950,961,155,431,832,158,399,
201,268,203,773,743,653,654,626,440,022,894,578,072,122,532,476,072,652,762,
211,467,802,065,904,771,810,709,055,867,122,294,438,670,488,746,982,363,493,
524,068,012,752,177,469,762,328,524,680,155,247,501,776,039,539,315,737,414,
079,596,607,624,022,533,640,976,009,632,760,365,441,411,784,443,787,686,029,
525,677,093,261,917,412,280,405,449,197,700,486,679,396,757,058,197,941,901,
943,860,594,562,467,943,295,079,748,881,483,511,071,212,972,530,490,270,076,
712,755,644,704,571,467,684,064,744,431,621,951,606,564,223,553,141,884,692,
748,196,502,490,001,111,929,282,413,924,199,036,266,872,094,219,666,917,937,
228,088,798,402,535,545,190,457,902,366,137,622,668,548,962,766,078,684,163,
098,652,456,638,522,822,507,285,656,333,618,876,608,487,700,581,511,877,641,
705,338,030,585,109,027,280,190,036,266,987,470,780,804,858,935,662,721,066,
076,470,317,486,189,160,535,983,172,086,638,777,793,942,309,219,285,128,074,
112,357,957,047,147,373,760,535,191,186,378,707,413,817,637,583,987,466,435,
779,886,444,099,397,110,421,828,780,730,978,178,374,490,968,067,150,136,775,
929,786,446,595,322,130,331,945,187,812,171,054,835,220,162,423,697,056,942,
150,967,635,054,612,001,446,165,632,882,616,526,245,332,109,160,670,283,665,
512,442,356,969,309,084,529,422,613,307,881,185,113,310,521,847,187,103,873,
494,859,037,547,339,407,537,002,862,496,303,848,697,773,982,858,982,673,780,
480,654,956,917,158,503,811,498,072,593,854,625,491,938,470,386,232,954,827,
797,734,275,539,572,365,184,271,532,594,005,633,148,853,863,882,063,583,275,
523,016,283,868,028,406,583,639,241,825,989,783,122,909,427,349,238,156,667,
426,541,229,042,768,296,351,952,993,484,720,210,689,997,679,231,950,260,811,
798,390,618,099,639,458,670,234,353,319,241,198,996,804,241,811,195,884,933,
972,548,269,785,051,698,440,307,961,551,045,064,713,534,748,716,010,514,373,
792,325,698,453,617,731,080,551,830,685,525,301,240,648,779,152,717,767,213,
877,421,946,303,880,724,242,249,324,216,122,100,707,942,849,481,228,345,149,
760,725,032,430,567,012,284,719,996,475,046,252,593,079,604,359,475,961,203,
469,180,472,940,551,611,623,538,972,627,500,367,699,273,809,732,621,854,027,
012,576,897,630,522,325,991,205,557,204,483,017,550,874,053,101,024,999,265,
738,116,692,973,628,062,486,702,171,148,445,381,615,287,441,256,022,849,538,
879,257,809,946,586,395,119,266,159,635,179,270,895,067,288,406,592,930,249,
241,155,920,284,948,454,197,142,836,024,354,624,737,272,172,678,873,574,611,
803,578,670,104,101,935,470,422,380,257,747,178,265,151,727,988,574,746,847,
676,703,682,711,865,962,383,857,556,899,821,157,895,802,977,756,045,962,433,
778,956,993,016,062,024,436,448,182,626,287,112,869,990,891,917,272,518,255,
438,902,520,659,634,842,198,588,946,535,806,733,095,173,860,428,113,239,599,
526,497,452,494,251,298,823,461,925,609,753,146,098,878,114,894,765,703,979,
160,774,839,873,196,520,597,261,256,109,232,488,659,399,881,764,156,042,339,
918,274,455,668,206,028,228,662,614,882,981,812,285,042,152,450,774,184,363,
858,970,099,430,927,608,209,407,686,094,054,284,230,986,709,548,144,308,878,
352,431,255,527,218,327,043,575,587,302,624,765,339,554,779,937,794,144,692,
689,359,318,813,854,452,303,910,671,857,042,181,564,811,053,060,025,581,562,
714,715,445,117,448,287,910,402,657,203,326,744,338,206,696,676,392,932,683,
602,421,125,277,539,297,899,176,511,244,191,049,899,141,027,637,297,604,502,
327,744,555,879,419,913,587,994,594,034,722,540,919,969,946,831,168,838,563,
892,065,435,876,668,168,951,945,458,517,521,051,723,788,910,765,855,419,400,
178,903,609,113,437,600,220,204,369,205,433,457,397,824,794,502,068,699,549,
688,717,270,567,162,930,489,224,744,392,670,328,930,720,200,456,739,784,424,
151,786,552,401,183,452,120,479,499,944,134,227,290,515,039,964,124,237,292,
506,950,028,993,964,259,335,422,200,471,414,038,452,573,339,754,928,254,111,
478,348,742,165,752,727,891,585,033,642,715,521,960,136,024,308,565,296,139,
533,029,491,270,704,508,520,672,668,130,699,854,522,745,291,278,642,933,295,
149,791,087,444,236,393,675,125,530,883,671,070,251,306,505,278,364,623,235,
641,592,928,891,612,943,819,302,090,419,954,357,145,691,087,117,059,601,997,
359,161,050,426,303,078,554,439,870,331,939,830,798,038,183,612,140,611,501,
729,431,431,583,056,323,428,871,827,669,954,516,594,943,554,749,399,379,736,
399,167,797,147,449,926,868,498,907,264,297,095,600,573,080,171,383,220,352,
212,966,291,895,134,136,544,871,535,217,544,099,240,813,353,941,602,752,238,
171,835,834,717,465,093,169,163,794,921,787,323,337,136,757,524,299,495,262,
498,002,166,322,267,346,675,721,753,268,496,771,174,903,894,540,582,011,394,
451,632,217,656,574,359,775,267,389,990,001,027,526,243,095,661,031,706,898,
922,606,926,034,685,659,653,955,343,800,749,010,483,837,138,665,468,705,324,
936,565,959,952,246,735,130,997,007,163,144,493,752,881,858,752,639,844,849,
208,259,015,603,144,618,540,027,464,480,001,011,991,020,827,625,635,094,759,
630,602,637,925,886,521,966,878,695,696,749,623,051,078,613,448,926,472,557,
125,259,110,140,317,373,670,569,829,489,535,232,006,810,266,764,136,197,080,
668,380,936,403,454,270,599,164,269,252,529,444,613,144,016,821,399,511,552,
453,950,150,045,471,121,789,348,310,370,489,047,688,242,730,454,323,687,163,
788,831,068,668,929,536,383,961,121,888,125,193,691,860,998,789,613,193,873,
392,800,154,718,987,424,919,443,086,676,563,111,911,659,263,958,111,973,938,
352,141,575,368,057,332,882,081,548,480,329,745,533,405,845,445,423,491,399,
237,727,412,174,908,617,068,474,131,142,287,537,095,477,545,415,630,709,885,
223,619,823,266,381,621,381,851,747,894,561,443,579,530,887,367,234,630,907,
475,269,875,188,545,506,172,071,693,839,075,463,352,413,109,825,682,700,312,
568,863,561,595,201,779,433,956,920,033,163,896,499,571,078,633,279,958,296,
633,044,971,466,058,851,389,092,241,326,134,802,692,603,738,663,764,351,247,
910,675,431,267,343,212,787,395,945,020,400,531,750,462,280,264,499,871,638,
229,599,743,355,432,982,086,485,420,889,303,854,519,721,283,811,514,369,009,
990,405,723,316,289,267,910,459,435,369,662,741,283,102,336,273,110,335,913,
327,208,344,926,573,902,126,686,842,324,447,301,324,186,410,568,380,551,966,
687,835,290,199,295,200,622,972,724,025,584,759,840,758,852,005,340,065,691,
590,062,841,180,839,071,711,775,891,558,102,644,529,552,407,810,307,676,363,
112,307,062,317,768,738,578,035,473,810,700,168,680,583,429,687,970,981,462,
623,632,262,858,711,934,886,786,829,074,193,023,150,233,774,741,630,553,349,
523,364,507,223,626,859,160,722,505,581,174,558,707,454,641,625,393,810,545,
188,947,482,193,121,774,322,279,002,707,538,158,125,364,817,642,327,838,529,
920,568,119,143,607,827,223,553,679,429,434,787,393,997,872,691,682,366,414,
068,184,813,478,048,110,297,121,797,555,520,251,400,371,094,575,744,672,142,
352,432,587,482,040,325,920,791,250,979,637,774,256,170,497,202,778,826,372,
573,921,657,942,447,034,772,160,956,135,472,058,569,507,833,378,550,195,548,
651,308,526,866,819,894,670,561,366,421,896,134,226,117,215,078,596,301,806,
476,537,081,524,022,993,321,820,704,607,329,621,462,508,629,499,900,772,718,
960,897,784,463,097,121,080,312,283,526,573,332,228,610,473,150,809,329,063,
251,563,971,185,080,330,182,699,588,888,532,511,283,868,053,720,197,838,675,
092,514,497,052,476,034,323,884,879,260,908,082,870,508,982,791,715,836,110,
894,662,931,352,647,236,411,003,491,630,099,825,541,381,252,553,342,675,044,
596,703,505,601,071,498,386,032,063,962,879,465,439,125,761,708,996,105,018,
139,725,395,060,088,643,282,409,136,946,129,397,683,307,485,117,804,454,857,
929,559,532,154,568,286,883,214,025,437,638,828,149,639,857,781,050,082,379,
677,532,872,756,187,912,723,482,955,762,098,027,793,369,375,997,922,917,876,
707,802,657,607,747,178,786,804,405,467,525,375,671,023,563,970,021,202,454,
578,872,650,579,756,275,165,657,414,534,395,003,463,313,104,746,474,546,262,
954,263,557,505,591,000,701,519,846,295,049,867,056,136,126,469,183,225,543,
950,225,914,494,058,437,523,615,843,623,055,932,664,552,289,513,417,411,743,
205,651,316,088,029,823,565,377,269,365,288,687,490,123,227,655,861,340,058,
262,139,663,858,915,670,159,680,294,978,132,106,569,492,150,468,432,824,753,
746,717,077,904,485,870,997,530,443,145,794,653,484,661,446,758,678,854,686,
691,264,356,349,265,839,960,126,495,449,504,299,332,087,257,321,699,483,642,
674,405,124,555,732,547,938,704,658,129,363,105,306,888,494,110,777,661,375,
864,231,093,754,271,101,586,016,921,716,423,555,983,809,328,182,418,427,256,
754,631,081,433,859,300,031,869,319,442,266,134,859,816,940,136,199,035,768,
024,664,090,378,192,681,973,424,975,405,299,568,923,315,107,174,994,656,805,
780,017,831,893,530,518,986,675,404,022,446,283,186,291,433,758,574,210,559,
428,700,642,118,898,054,761,240,425,375,222,359,060,732,289,915,986,030,510,
012,994,006,626,796,289,470,106,167,298,948,140,562,863,230,131,992,332,716,
894,326,533,616,207,826,015,211,321,291,806,002,553,508,325,319,644,488,361,
589,914,959,056,202,945,310,346,971,167,679,456,706,007,722,781,102,143,820,
248,752,801,523,334,152,443,431,229,977,263,889,013,079,554,928,681,379,026,
609,698,271,194,332,898,051,749,656,447,492,226,784,309,384,661,546,131,834,
316,467,314,839,016,821,428,311,687,429,293,841,495,220,047,533,859,877,079,
720,398,065,291,132,467,177,433,360,783,211,891,693,131,281,975,186,289,178,
435,424,671,885,449,081,630,236,802,977,942,158,868,629,962,848,660,953,878,
948,368,168,207,913,770,382,948,901,139,848,438,037,488,376,020,346,635,364,
654,518,088,549,851,698,053,498,296,854,779,870,960,564,317,223,491,259,614,
756,386,469,944,369,007,778,937,810,900,707,063,718,308,772,262,903,849,956,
186,546,393,280,521,150,589,125,414,789,782,647,276,986,789,308,967,057,974,
985,736,432,123,990,132,510,782,974,126,315,422,099,648,121,077,365,097,368,
574,780,656,082,587,535,930,371,913,028,288,712,220,971,562,519,276,920,244,
793,749,591,726,213,619,042,652,314,703,454,067,879,215,629,647,532,075,038,
203,625,785,159,896,381,952,030,757,739,067,444,005,570,237,928,274,502,181,
958,148,955,253,133,585,298,246,398,068,291,383,137,919,917,868,246,486,964,
900,416,391,518,327,827,644,395,267,975,583,221,125,575,196,811,655,091,134,
639,496,459,199,525,782,383,265,082,201,735,667,817,031,911,078,891,002,123,
470,163,036,710,332,562,201,032,072,878,722,779,596,614,193,364,782,745,752,
492,172,751,360,688,706,841,487,475,350,202,043,871,452,199,227,286,814,545,
292,180,206,265,608,153,615,087,085,901,806,872,738,325,425,700,967,389,107,
693,207,349,369,077,482,444,869,051,742,396,714,370,515,143,091,621,532,458,
015,239,500,819,122,299,578,367,737,653,431,190,773,245,025,259,728,460,641,
801,889,811,843,416,987,778,952,688,307,203,569,739,013,272,358,845,395,381,
952,371,936,218,924,626,836,577,286,831,612,971,761,182,995,385,119,995,903,
195,261,528,367,053,333,080,439,977,795,413,417,458,500,528,677,650,249,564,
409,163,401,104,897,266,833,438,923,797,911,900,398,848,966,930,192,015,859,
471,211,961,024,669,943,637,493,572,285,801,218,824,731,585,910,723,366,581,
070,731,149,572,086,481,205,854,393,281,145,043,400,231,098,216,080,305,909,
474,700,923,851,262,491,395,005,741,875,116,615,230,235,262,479,310,924,976,
580,974,978,729,876,454,091,098,276,805,859,789,540,675,258,739,319,664,899,
703,911,263,499,587,040,351,486,350,325,390,842,249,313,141,557,715,685,826,
664,356,261,952,580,370,068,927,720,844,356,618,718,185,581,419,576,880,559,
189,716,947,291,985,193,616,984,680,122,229,561,141,957,261,673,016,277,664,
621,014,658,917,204,069,949,632,902,463,673,874,900,333,340,468,544,044,330,
480,017,201,183,961,683,829,378,721,564,520,702,670,645,601,729,131,187,466,
041,689,845,305,347,089,140,272,415,946,172,409,685,875,891,125,668,064,038,
159,285,739,505,469,372,797,751,088,583,910,411,160,157,613,513,425,918,783,
156,919,931,445,716,995,969,242,726,500,566,323,392,896,021,964,816,818,929,
010,866,426,254,361,884,149,350,561,288,159,125,531,641,282,808,944,474,244,
282,761,424,895,670,447,623,061,694,526,346,610,682,659,069,836,647,942,464,
131,003,165,533,711,913,281,261,611,537,667,213,798,436,049,305,566,736,876,
178,255,883,322,723,506,900,154,150,894,025,741,528,852,778,359,314,591,334,
030,973,481,399,451,076,356,237,450,255,333,376,076,726,708,226,194,805,056,
498,068,234,364,270,236,322,187,114,005,959,098,576,373,866,008,528,267,177,
645,658,008,193,588,596,656,071,437,915,287,144,964,841,460,003,215,327,710,
769,603,266,764,400,896,690,194,530,668,310,460,272,117,099,806,449,192,863,
428,911,515,984,207,543,022,304,118,390,604,844,278,232,572,081,114,474,781,
899,183,772,049,596,988,039,233,686,073,203,911,214,513,449,538,158,982,936,
063,429,637,539,718,233,655,887,458,210,261,770,225,422,631,973,024,694,271